Finite Group Databasebeta

← C22×C4×#2408 #72324247

Subgroups — C22×C4×#2408 #72324247

Order 2048.

1091576 conjugacy classes of subgroups.

The subgroup lattice has 3195 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14176C212yesmaximal, complemented
2C22×C4×#390C212yesmaximal, complemented
3C22×C4×#380C211yesmaximal, characteristic, complemented
4C22×#14130C211yesmaximal, characteristic, complemented
5C22×#13991C212yesmaximal, complemented
6C22×#13872C211yesmaximal, characteristic, complemented
7C22×C4×#394C212yesmaximal, complemented
8C22×#13970C212yesmaximal, complemented
9C22×#14018C212yesmaximal, complemented
10C23×C42×D4C211yesmaximal, characteristic, complemented
11C22×C4×#392C212yesmaximal, complemented
12C22×#14175C212yesmaximal, complemented
13C22×C4×#379C212yesmaximal, complemented
14C22×#13902C211yesmaximal, characteristic, complemented
15C23×C4×#121C212yesmaximal, complemented
16C25×C4×D4C211yesmaximal, characteristic, complemented
17C2×C4×#2408C2196yesmaximal, direct product factor
18C23×C4×#120C212yesmaximal, complemented
19C23×#2408C211yesmaximal, characteristic
20C22×#13967C212yesmaximal, complemented
21C26×D4C2211yescharacteristic
22C27×C4C2212yes—
23C24×#121C2212yes—
24C24×#120C2212yes—
25C24×C4×D4—264no—
26C24×C4×D4—232no—
27C24×C4×D4C2212yes—
28C24×C4×D4C2212yes—
29C24×C4×D4C2211yescharacteristic
30C24×C4×D4C2212yes—
31C24×C4×D4C2211yescharacteristic
32C24×C4×D4C2211yescharacteristic
33C24×C4×D4C2212yes—
34C24×C4×D4C22148yescomplemented
35C24×C4×D4C2214yescomplemented
36C25×C4⋊C4C2211yescharacteristic
37C25×C22⋊C4C2212yes—
38C25×C42C2211yescharacteristic
39C25×C42C2211yescharacteristic, complemented
40C22×#2408C4164yesdirect product factor
41C22×#2408C22148yes—
42C23×#394C2212yes—
43C23×#392C2212yes—
44C22×C4×#121—264no—
45C22×C4×#121C22196yescomplemented
46C22×C4×#120—264no—
47C22×C4×#120C22196yescomplemented
48C23×#390C2212yes—
49C23×#390C2212yes—
50C23×#390C2212yes—
51C23×#389C2212yescomplemented
52C23×#388C2214yescomplemented
53C23×#386C2212yes—
54C23×#386C2214yescomplemented
55C23×#386C2214yescomplemented
56C23×#385C2212yes—
57C23×#385C2214yescomplemented
58C23×#380C2211yescharacteristic
59C23×#380C2211yescharacteristic
60C23×#380C2212yescomplemented
61C23×#379C2212yes—
62C23×#379C2212yes—
63C23×#379C2212yes—
64C22×C42×D4—232no—
65C22×C42×D4C22148yescomplemented
66C23×C4×C4⋊C4C2211yescharacteristic, complemented
67C23×C4×C4⋊C4C2211yescharacteristic, complemented
68C23×C4×C4⋊C4C2211yescharacteristic, complemented
69C23×C4×C4⋊C4C2212yescomplemented
70C23×C4×C22⋊C4C2211yescharacteristic
71C23×C4×C22⋊C4C2211yescharacteristic
72C23×C4×C22⋊C4C2212yes—
73C23×C4×C22⋊C4C2211yescharacteristic
74C23×C4×C22⋊C4C2211yescharacteristic, complemented
75C23×C4×C22⋊C4C2214yescomplemented
76C23×C4×C22⋊C4C2211yescharacteristic, complemented
77C23×C4×C22⋊C4C2214yescomplemented
78C23×C4×C22⋊C4C2211yescharacteristic, complemented
79C23×C4×C22⋊C4C2214yescomplemented
80C23×C43C2211yescharacteristic, complemented
81C4×#2408C2211024yesdirect product factor
82C2×#14176C22196yescomplemented
83C2×#14175C22196yescomplemented
84C2×#14130C22148yescomplemented
85C2×#14018C22196yescomplemented
86C2×#13991C22196yescomplemented
87C2×#13970C22196yescomplemented
88C2×#13967C22196yescomplemented
89C2×#13902C22148yescomplemented
90C2×#13872C22148yescomplemented
91C2×C4×#394C22196yescomplemented
92C2×C4×#392C22196yescomplemented
93C22×#1444C2212yescomplemented
94C22×#1442C2212yescomplemented
95C22×#1441C2212yescomplemented
96C22×#1440C2214yescomplemented
97C22×#1439C2212yescomplemented
98C22×#1439C2214yescomplemented
99C22×#1439C2214yescomplemented
100C22×#1438C2212yes—
101C22×#1438C2212yes—
102C22×#1438C2214yescomplemented
103C2×C4×#380C22148yescomplemented
104C2×C4×#379C22196yescomplemented
105C2×C4×#390C22196yescomplemented
106C22×#1437C2214yescomplemented
107C22×#1437C2214yescomplemented
108C22×C4⋊#95C2212yescomplemented
109C22×C4⋊#95C2212yescomplemented
110C22×C4⋊#95C2212yescomplemented
111C22×#1434C2212yescomplemented
112C22×C22⋊#95C2212yes—
113C22×C22⋊#95C2212yes—
114C22×C22⋊#95C2212yes—
115C22×C22⋊#95C2214yescomplemented
116C22×C22⋊#95C2214yescomplemented
117C22×C4×#95C2212yescomplemented
118C28C2312yes—
119C25×D4—232no—
120C25×D4—232no—
121C25×D4—216no—
122C25×D4—216no—
123C25×D4C2×C4132yescomplemented
124C25×D4C2312yes—
125C25×D4C23124yes—
126C25×D4C2314yes—
127C25×D4C2311yescharacteristic
128C25×D4C2312yes—
129C26×C4—264no—
130C26×C4—232no—
131C26×C4—232no—
132C26×C4—232no—
133C26×C4—432no—
134C26×C4C2311yescharacteristic
135C26×C4C2314yes—
136C26×C4C2311yescharacteristic
137C26×C4C2311yescharacteristic
138C26×C4C2312yes—
139C26×C4C2314yes—
140C26×C4C23148yes—
141C26×C4C2311yescharacteristic
142C26×C4C2311yescharacteristic
143C26×C4C2311yescharacteristic
144C23×#121—232no—
145C23×#121—232no—
146C23×#121C2×C4164yescomplemented
147C23×#121C23148yes—
148C23×#120—232no—
149C23×#120—232no—
150C23×#120C2×C4164yescomplemented
151C23×#120C23148yes—
152C23×C4×D4—22048no—
153C23×C4×D4—21536no—
154C23×C4×D4—232no—
155C23×C4×D4—264no—
156C23×C4×D4—216no—
157C23×C4×D4—232no—
158C23×C4×D4—232no—
159C23×C4×D4—232no—
160C23×C4×D4—232no—
161C23×C4×D4—232no—
162C23×C4×D4—2768no—
163C23×C4×D4—232no—
164C23×C4×D4—216no—
165C23×C4×D4—264no—
166C23×C4×D4—216no—
167C23×C4×D4—216no—
168C23×C4×D4—216no—
169C23×C4×D4—264no—
170C23×C4×D4—264no—
171C23×C4×D4—216no—
172C23×C4×D4—216no—
173C23×C4×D4—432no—
174C23×C4×D4C2×C4132yescomplemented
175C23×C4×D4D4164yescomplemented
176C23×C4×D4D4132yescomplemented
177C23×C4×D4C23148yes—
178C23×C4×D4C23148yes—
179C23×C4×D4C23148yes—
180C23×C4×D4C23124yes—
181C23×C4×D4C23124yes—
182C23×C4×D4C23148yes—
183C23×C4×D4C23124yes—
184C23×C4×D4C231256yescomplemented
185C23×C4×D4C23196yescomplemented
186C24×C4⋊C4—232no—
187C24×C4⋊C4—216no—
188C24×C4⋊C4C23124yes—
189C24×C4⋊C4C2312yes—
190C24×C4⋊C4C2312yes—
191C24×C4⋊C4C2311yescharacteristic
192C24×C4⋊C4C2314yes—
193C24×C4⋊C4C2312yes—
194C24×C4⋊C4C2311yescharacteristic
195C24×C4⋊C4C2312yes—
196C24×C4⋊C4C2311yescharacteristic
197C24×C22⋊C4—264no—
198C24×C22⋊C4—232no—
199C24×C22⋊C4C2312yes—
200C24×C22⋊C4C2314yes—
201C24×C22⋊C4C23148yes—
202C24×C22⋊C4C2311yescharacteristic
203C24×C22⋊C4C2314yes—
204C24×C22⋊C4C2314yes—
205C24×C22⋊C4C2314yes—
206C24×C22⋊C4C2314yes—
207C24×C22⋊C4C2314yes—
208C24×C22⋊C4C2311yescharacteristic
209C24×C22⋊C4C2312yes—
210C24×C22⋊C4C2314yes—
211C24×C22⋊C4C2311yescharacteristic
212C24×C22⋊C4C2314yes—
213C24×C22⋊C4C2311yescharacteristic
214C24×C22⋊C4C2314yes—
215C24×C22⋊C4C2311yescharacteristic
216C24×C22⋊C4C2311yescharacteristic
217C24×C22⋊C4C2314yes—
218C24×C42—232no—
219C24×C42—232no—
220C24×C42—216no—
221C24×C42D4132yescomplemented
222C24×C42C2311yescharacteristic
223C24×C42C2311yescharacteristic
224C24×C42C2311yescharacteristic
225C24×C42C2311yescharacteristic
226C24×C42C2311yescharacteristic
227C24×C42C2311yescharacteristic
228C24×C42C2311yescharacteristic
229C24×C42C23124yes—
230C24×C42C2311yescharacteristic
231C24×C42C2311yescharacteristic
232C24×C42C2314yes—
233C24×C42C2311yescharacteristic
234C24×C42C2311yescharacteristic
235C24×C42C2311yescharacteristic
236C24×C42C2311yescharacteristic
237C24×C42C23124yescomplemented
238C2×#2408C2×C411536yesdirect product factor
239C2×#2408C231256yes—
240C22×#394C2×C4164yescomplemented
241C22×#394C23148yes—
242C22×#392C2×C4164yescomplemented
243C22×#392C23148yes—
244C2×C4×#121—21536no—
245C2×C4×#121C231512yescomplemented
246C2×C4×#120—21536no—
247C2×C4×#120C231512yescomplemented
248C22×#390—232no—
249C22×#390—232no—
250C22×#390C2×C4164yescomplemented
251C22×#390C23148yes—
252C22×#390C23148yes—
253C22×#390C23148yes—
254C22×#389—232no—
255C22×#389C23148yescomplemented
256C22×#388—264no—
257C22×#388C23196yescomplemented
258C22×#386—264no—
259C22×#386—264no—
260C22×#386—232no—
261C22×#386C23148yes—
262C22×#386C23196yescomplemented
263C22×#386C23196yescomplemented
264C22×#385—264no—
265C22×#385—232no—
266C22×#385C23148yes—
267C22×#385C23196yescomplemented
268C22×#380—232no—
269C22×#380—216no—
270C22×#380C2×C4132yescomplemented
271C22×#380C23124yes—
272C22×#380C23124yes—
273C22×#380C23148yescomplemented
274C22×#379—232no—
275C22×#379—232no—
276C22×#379C2×C4164yescomplemented
277C22×#379C23148yes—
278C22×#379C23148yes—
279C22×#379C23148yes—
280C2×C42×D4—2768no—
281C2×C42×D4C231256yescomplemented
282C22×C4×C4⋊C4—232no—
283C22×C4×C4⋊C4—216no—
284C22×C4×C4⋊C4—216no—
285C22×C4×C4⋊C4—216no—
286C22×C4×C4⋊C4C23124yescomplemented
287C22×C4×C4⋊C4C23148yescomplemented
288C22×C4×C4⋊C4C23124yescomplemented
289C22×C4×C4⋊C4C23124yescomplemented
290C22×C4×C22⋊C4—216no—
291C22×C4×C22⋊C4—216no—
292C22×C4×C22⋊C4—216no—
293C22×C4×C22⋊C4—264no—
294C22×C4×C22⋊C4—232no—
295C22×C4×C22⋊C4—264no—
296C22×C4×C22⋊C4—216no—
297C22×C4×C22⋊C4—216no—
298C22×C4×C22⋊C4—216no—
299C22×C4×C22⋊C4—432no—
300C22×C4×C22⋊C4C23124yes—
301C22×C4×C22⋊C4C23148yes—
302C22×C4×C22⋊C4C23124yes—
303C22×C4×C22⋊C4C23124yes—
304C22×C4×C22⋊C4C23196yescomplemented
305C22×C4×C22⋊C4C23196yescomplemented
306C22×C4×C22⋊C4C23124yescomplemented
307C22×C4×C22⋊C4C23124yescomplemented
308C22×C4×C22⋊C4C23124yescomplemented
309C22×C4×C22⋊C4C23196yescomplemented
310C23×#95C2312yes—
311C23×#95C2314yes—
312C23×#95C2314yes—
313C23×#95C2314yes—
314C23×#95C2314yes—
315C23×#95C2314yes—
316C23×#95C2314yes—
317C23×#95C2311yescharacteristic
318C23×#95C2311yescharacteristic
319C23×#95C2311yescharacteristic
320C23×#95C2311yescharacteristic
321C23×#95C2311yescharacteristic
322C23×#95C2311yescharacteristic
323C23×#95C2314yes—
324C23×#95C2314yes—
325C23×#95C2314yes—
326C23×#95C2312yes—
327C22×C43—216no—
328C22×C43C23124yescomplemented
329#14176C231512yescomplemented
330#14175C231512yescomplemented
331#14130C231256yescomplemented
332#14018C231512yescomplemented
333#13991C231512yescomplemented
334#13970C231512yescomplemented
335#13967C231512yescomplemented
336#13902C231256yescomplemented
337#13872C231256yescomplemented
338C4×#394C231512yescomplemented
339C4×#392C231512yescomplemented
340C2×#1444C23148yescomplemented
341C2×#1442C23148yescomplemented
342C2×#1441C23148yescomplemented
343C2×#1440C23196yescomplemented
344C2×#1439C23148yescomplemented
345C2×#1439C23196yescomplemented
346C2×#1439C23196yescomplemented
347C2×#1438C23148yes—
348C2×#1438C23148yes—
349C2×#1438C23196yescomplemented
350C4×#380C231256yescomplemented
351C4×#379C231512yescomplemented
352C4×#390C231512yescomplemented
353C2×#1437C23196yescomplemented
354C2×#1437C23196yescomplemented
355C2×C4⋊#95C23148yescomplemented
356C2×C4⋊#95C23148yescomplemented
357C2×C4⋊#95C23148yescomplemented
358C2×#1434C23148yescomplemented
359C2×C22⋊#95C23148yes—
360C2×C22⋊#95C23148yes—
361C2×C22⋊#95C23148yes—
362C2×C22⋊#95C23196yescomplemented
363C2×C22⋊#95C23196yescomplemented
364C2×C4×#95C23148yescomplemented
365C27—232no—
366C27—216no—
367C27—232no—
368C27—216no—
369C27—216no—
370C27—216no—
371C27—216no—
372C27—216no—
373C27—416no—
374C27—416no—
375C27C22×C4132yes—
376C27C2411yescharacteristic
377C27C2414yes—
378C27C24124yes—
379C27C2411yescharacteristic
380C24×D4—2512no—
381C24×D4—21024no—
382C24×D4—2512no—
383C24×D4—232no—
384C24×D4—28no—
385C24×D4—232no—
386C24×D4—28no—
387C24×D4—28no—
388C24×D4—28no—
389C24×D4—21024no—
390C24×D4—2384no—
391C24×D4—2384no—
392C24×D4—232no—
393C24×D4—232no—
394C24×D4—232no—
395C24×D4—232no—
396C24×D4—2512no—
397C24×D4—216no—
398C24×D4—2192no—
399C24×D4—216no—
400C24×D4—216no—
401C24×D4—216no—
402C24×D4—2192no—
403C24×D4—216no—
404C24×D4—216no—
405C24×D4—416no—
406C24×D4—416no—
407C24×D4C22×C4132yes—
408C24×D4C22×C4132yes—
409C24×D4C22×C4116yes—
410C24×D4C22×C41384yescomplemented
411C24×D4C22×C4164yescomplemented
412C24×D4C2×D4132yes—
413C24×D4C2×D4116yes—
414C24×D4#41132yes—
415C24×D4#41116yes—
416C24×D4C24124yes—
417C24×D4C24164yes—
418C24×D4C24148yes—
419C24×D4C24124yes—
420C24×D4C24112yes—
421C25×C4—216no—
422C25×C4—216no—
423C25×C4—216no—
424C25×C4—216no—
425C25×C4—21024no—
426C25×C4—216no—
427C25×C4—232no—
428C25×C4—28no—
429C25×C4—28no—
430C25×C4—28no—
431C25×C4—232no—
432C25×C4—232no—
433C25×C4—2768no—
434C25×C4—232no—
435C25×C4—2384no—
436C25×C4—232no—
437C25×C4—232no—
438C25×C4—232no—
439C25×C4—216no—
440C25×C4—216no—
441C25×C4—28no—
442C25×C4—28no—
443C25×C4—28no—
444C25×C4—216no—
445C25×C4—232no—
446C25×C4—28no—
447C25×C4—28no—
448C25×C4—28no—
449C25×C4—216no—
450C25×C4—232no—
451C25×C4—232no—
452C25×C4—216no—
453C25×C4—216no—
454C25×C4—216no—
455C25×C4—232no—
456C25×C4—2384no—
457C25×C4—216no—
458C25×C4—232no—
459C25×C4—2384no—
460C25×C4—4384no—
461C25×C4—416no—
462C25×C4—416no—
463C25×C4—416no—
464C25×C4—48no—
465C25×C4—48no—
466C25×C4—41024no—
467C25×C4—41024no—
468C25×C4—4512no—
469C25×C4—4512no—
470C25×C4C22×C4116yes—
471C25×C4C22×C4116yescomplemented
472C25×C4C2×D4164yes—
473C25×C4C2×D4116yes—
474C25×C4C2×D4116yes—
475C25×C4C2×D4116yes—
476C25×C4C2×D4116yes—
477C25×C4C2×D4116yescomplemented
478C25×C4#41116yes—
479C25×C4#41116yes—
480C25×C4C2414yes—
481C25×C4C2411yescharacteristic
482C25×C4C2414yes—
483C25×C4C2411yescharacteristic
484C25×C4C24112yes—
485C25×C4C2414yes—
486C25×C4C24148yes—
487C25×C4C2411yescharacteristic
488C25×C4C2411yescharacteristic
489C25×C4C2411yescharacteristic
490C25×C4C24112yes—
491C25×C4C2411yescharacteristic
492C25×C4C2411yescharacteristic
493C25×C4C24124yes—
494C25×C4C24148yes—
495C25×C4C241128yes—
496C25×C4C24112yes—
497C25×C4C24112yes—
498C25×C4C2411yescharacteristic
499C25×C4C24112yes—
500C25×C4C2411yescharacteristic
501C25×C4C2411yescharacteristic
502C25×C4C2411yescharacteristic
503C25×C4C24112yes—
504C25×C4C2411yescharacteristic
505C25×C4C2411yescharacteristic
506C22×#121—21024no—
507C22×#121—2384no—
508C22×#121—2384no—
509C22×#121C22×C41768yescomplemented
510C22×#121C241128yes—
511C22×#120—21024no—
512C22×#120—2384no—
513C22×#120—2384no—
514C22×#120C22×C41768yescomplemented
515C22×#120C241128yes—
516C22×C4×D4—2512no—
517C22×C4×D4—21024no—
518C22×C4×D4—224576no—
519C22×C4×D4—21024no—
520C22×C4×D4—21024no—
521C22×C4×D4—21024no—
522C22×C4×D4—2384no—
523C22×C4×D4—2384no—
524C22×C4×D4—2384no—
525C22×C4×D4—2384no—
526C22×C4×D4—2384no—
527C22×C4×D4—22048no—
528C22×C4×D4—2384no—
529C22×C4×D4—2192no—
530C22×C4×D4—2512no—
531C22×C4×D4—2512no—
532C22×C4×D4—2768no—
533C22×C4×D4—2192no—
534C22×C4×D4—2192no—
535C22×C4×D4—2192no—
536C22×C4×D4—2192no—
537C22×C4×D4—2192no—
538C22×C4×D4—24096no—
539C22×C4×D4—2768no—
540C22×C4×D4—2768no—
541C22×C4×D4—2384no—
542C22×C4×D4—2768no—
543C22×C4×D4—2192no—
544C22×C4×D4—4384no—
545C22×C4×D4—41024no—
546C22×C4×D4C22×C41384yescomplemented
547C22×C4×D4C2×D41768yescomplemented
548C22×C4×D4C2×D41384yescomplemented
549C22×C4×D4C241128yes—
550C22×C4×D4C241128yes—
551C22×C4×D4C24164yes—
552C22×C4×D4C241128yes—
553C22×C4×D4C24164yes—
554C22×C4×D4C241128yes—
555C22×C4×D4C24164yes—
556C22×C4×D4C241256yescomplemented
557C23×C4⋊C4—2512no—
558C23×C4⋊C4—232no—
559C23×C4⋊C4—216no—
560C23×C4⋊C4—2192no—
561C23×C4⋊C4—216no—
562C23×C4⋊C4—216no—
563C23×C4⋊C4—28no—
564C23×C4⋊C4—28no—
565C23×C4⋊C4—28no—
566C23×C4⋊C4—216no—
567C23×C4⋊C4—28no—
568C23×C4⋊C4—28no—
569C23×C4⋊C4—28no—
570C23×C4⋊C4—28no—
571C23×C4⋊C4—216no—
572C23×C4⋊C4—2384no—
573C23×C4⋊C4—232no—
574C23×C4⋊C4—232no—
575C23×C4⋊C4—216no—
576C23×C4⋊C4—216no—
577C23×C4⋊C4—216no—
578C23×C4⋊C4—416no—
579C23×C4⋊C4C22×C4116yescomplemented
580C23×C4⋊C4C22×C4132yescomplemented
581C23×C4⋊C4C2×D4132yes—
582C23×C4⋊C4C2×D4116yescomplemented
583C23×C4⋊C4C24112yes—
584C23×C4⋊C4C24124yes—
585C23×C4⋊C4C24164yes—
586C23×C4⋊C4C24124yes—
587C23×C4⋊C4C24148yes—
588C23×C4⋊C4C24112yes—
589C23×C4⋊C4C24124yes—
590C23×C4⋊C4C24124yes—
591C23×C4⋊C4C24112yes—
592C23×C22⋊C4—21024no—
593C23×C22⋊C4—232no—
594C23×C22⋊C4—28no—
595C23×C22⋊C4—28no—
596C23×C22⋊C4—28no—
597C23×C22⋊C4—216no—
598C23×C22⋊C4—232no—
599C23×C22⋊C4—28no—
600C23×C22⋊C4—28no—
601C23×C22⋊C4—28no—
602C23×C22⋊C4—28no—
603C23×C22⋊C4—216no—
604C23×C22⋊C4—232no—
605C23×C22⋊C4—232no—
606C23×C22⋊C4—2384no—
607C23×C22⋊C4—232no—
608C23×C22⋊C4—232no—
609C23×C22⋊C4—232no—
610C23×C22⋊C4—28no—
611C23×C22⋊C4—28no—
612C23×C22⋊C4—28no—
613C23×C22⋊C4—232no—
614C23×C22⋊C4—28no—
615C23×C22⋊C4—28no—
616C23×C22⋊C4—28no—
617C23×C22⋊C4—232no—
618C23×C22⋊C4—2768no—
619C23×C22⋊C4—232no—
620C23×C22⋊C4—232no—
621C23×C22⋊C4—216no—
622C23×C22⋊C4—232no—
623C23×C22⋊C4—216no—
624C23×C22⋊C4—216no—
625C23×C22⋊C4—232no—
626C23×C22⋊C4—232no—
627C23×C22⋊C4—232no—
628C23×C22⋊C4—232no—
629C23×C22⋊C4—232no—
630C23×C22⋊C4—232no—
631C23×C22⋊C4—232no—
632C23×C22⋊C4—416no—
633C23×C22⋊C4—416no—
634C23×C22⋊C4—416no—
635C23×C22⋊C4—416no—
636C23×C22⋊C4—416no—
637C23×C22⋊C4—416no—
638C23×C22⋊C4—416no—
639C23×C22⋊C4C22×C4116yes—
640C23×C22⋊C4C22×C4132yes—
641C23×C22⋊C4C22×C4116yescomplemented
642C23×C22⋊C4C22×C4164yescomplemented
643C23×C22⋊C4C22×C4164yescomplemented
644C23×C22⋊C4C22×C4164yescomplemented
645C23×C22⋊C4C2×D4164yes—
646C23×C22⋊C4C2×D4116yes—
647C23×C22⋊C4C2×D4116yescomplemented
648C23×C22⋊C4#41116yes—
649C23×C22⋊C4C24112yes—
650C23×C22⋊C4C24148yes—
651C23×C22⋊C4C241128yes—
652C23×C22⋊C4C24124yes—
653C23×C22⋊C4C24148yes—
654C23×C22⋊C4C24148yes—
655C23×C22⋊C4C24148yes—
656C23×C22⋊C4C24148yes—
657C23×C22⋊C4C24148yes—
658C23×C22⋊C4C24112yes—
659C23×C22⋊C4C24124yes—
660C23×C22⋊C4C24112yes—
661C23×C22⋊C4C24148yes—
662C23×C22⋊C4C24148yes—
663C23×C22⋊C4C24148yes—
664C23×C22⋊C4C24112yes—
665C23×C22⋊C4C24112yes—
666C23×C22⋊C4C24112yes—
667C23×C22⋊C4C24148yes—
668C23×C42—2512no—
669C23×C42—2384no—
670C23×C42—2192no—
671C23×C42—2384no—
672C23×C42—216no—
673C23×C42—216no—
674C23×C42—216no—
675C23×C42—28no—
676C23×C42—28no—
677C23×C42—28no—
678C23×C42—216no—
679C23×C42—28no—
680C23×C42—28no—
681C23×C42—28no—
682C23×C42—216no—
683C23×C42—216no—
684C23×C42—232no—
685C23×C42—232no—
686C23×C42—28no—
687C23×C42—28no—
688C23×C42—28no—
689C23×C42—28no—
690C23×C42—28no—
691C23×C42—28no—
692C23×C42—28no—
693C23×C42—216no—
694C23×C42—232no—
695C23×C42—216no—
696C23×C42—48no—
697C23×C42—4256no—
698C23×C42C22×C4116yescomplemented
699C23×C42C2×D4116yes—
700C23×C42C2×D4116yes—
701C23×C42C2×D4116yes—
702C23×C42C2×D4132yes—
703C23×C42C2×D4116yes—
704C23×C42C2×D41384yescomplemented
705C23×C42C2×D4116yescomplemented
706C23×C42C24112yes—
707C23×C42C24112yes—
708C23×C42C24112yes—
709C23×C42C24148yes—
710C23×C42C24112yes—
711C23×C42C24112yes—
712C23×C42C24112yes—
713C23×C42C24112yes—
714C23×C42C24112yes—
715C23×C42C24112yes—
716C23×C42C24112yes—
717C23×C42C24164yes—
718C23×C42C24112yes—
719C23×C42C24112yes—
720C23×C42C24112yes—
721C23×C42C24164yescomplemented
722#2408C22×C414096yesdirect product factor
723C2×#394C22×C41768yescomplemented
724C2×#394C241128yes—
725C2×#392C22×C41768yescomplemented
726C2×#392C241128yes—
727C4×#121—24096no—
728C4×#120—24096no—
729C2×#390—2384no—
730C2×#390—2384no—
731C2×#390C22×C41768yescomplemented
732C2×#390C241128yes—
733C2×#390C241128yes—
734C2×#390C241128yes—
735C2×#389—2384no—
736C2×#389C241128yescomplemented
737C2×#388—2768no—
738C2×#388C241256yescomplemented
739C2×#386—2384no—
740C2×#386—2768no—
741C2×#386—2768no—
742C2×#386C241128yes—
743C2×#386C241256yescomplemented
744C2×#386C241256yescomplemented
745C2×#385—2768no—
746C2×#385—2384no—
747C2×#385C241128yes—
748C2×#385C241256yescomplemented
749C2×#380—2192no—
750C2×#380—2384no—
751C2×#380C22×C41384yescomplemented
752C2×#380C24164yes—
753C2×#380C24164yes—
754C2×#380C241128yescomplemented
755C2×#379—2384no—
756C2×#379—2384no—
757C2×#379C22×C41768yescomplemented
758C2×#379C241128yes—
759C2×#379C241128yes—
760C2×#379C241128yes—
761C42×D4—22048no—
762C2×C4×C4⋊C4—2192no—
763C2×C4×C4⋊C4—2192no—
764C2×C4×C4⋊C4—2192no—
765C2×C4×C4⋊C4—2384no—
766C2×C4×C4⋊C4C24164yescomplemented
767C2×C4×C4⋊C4C24164yescomplemented
768C2×C4×C4⋊C4C24164yescomplemented
769C2×C4×C4⋊C4C241128yescomplemented
770C2×C4×C22⋊C4—2192no—
771C2×C4×C22⋊C4—2192no—
772C2×C4×C22⋊C4—2192no—
773C2×C4×C22⋊C4—2768no—
774C2×C4×C22⋊C4—2192no—
775C2×C4×C22⋊C4—2192no—
776C2×C4×C22⋊C4—2192no—
777C2×C4×C22⋊C4—2384no—
778C2×C4×C22⋊C4—2768no—
779C2×C4×C22⋊C4—4384no—
780C2×C4×C22⋊C4C24164yes—
781C2×C4×C22⋊C4C24164yes—
782C2×C4×C22⋊C4C24164yes—
783C2×C4×C22⋊C4C241128yes—
784C2×C4×C22⋊C4C24164yescomplemented
785C2×C4×C22⋊C4C241256yescomplemented
786C2×C4×C22⋊C4C241256yescomplemented
787C2×C4×C22⋊C4C24164yescomplemented
788C2×C4×C22⋊C4C24164yescomplemented
789C2×C4×C22⋊C4C241256yescomplemented
790C22×#95—28no—
791C22×#95—28no—
792C22×#95—28no—
793C22×#95—28no—
794C22×#95—28no—
795C22×#95—28no—
796C22×#95—232no—
797C22×#95—232no—
798C22×#95—232no—
799C22×#95—232no—
800C22×#95—232no—
801C22×#95—232no—
802C22×#95—216no—
803C22×#95—416no—
804C22×#95—416no—
805C22×#95—416no—
806C22×#95C22×C4132yescomplemented
807C22×#95C24124yes—
808C22×#95C24112yes—
809C22×#95C24112yes—
810C22×#95C24112yes—
811C22×#95C24148yes—
812C22×#95C24148yes—
813C22×#95C24112yes—
814C22×#95C24148yes—
815C22×#95C24148yes—
816C22×#95C24148yes—
817C22×#95C24112yes—
818C22×#95C24112yes—
819C22×#95C24148yes—
820C22×#95C24148yes—
821C22×#95C24148yes—
822C22×#95C24148yes—
823C22×#95C24124yes—
824C2×C43—2192no—
825C2×C43C24164yescomplemented
826#1444C241128yescomplemented
827#1442C241128yescomplemented
828#1441C241128yescomplemented
829#1440C241256yescomplemented
830#1439C241128yescomplemented
831#1439C241256yescomplemented
832#1439C241256yescomplemented
833#1438C241128yes—
834#1438C241128yes—
835#1438C241256yescomplemented
836#1437C241256yescomplemented
837#1437C241256yescomplemented
838C4⋊#95C241128yescomplemented
839C4⋊#95C241128yescomplemented
840C4⋊#95C241128yescomplemented
841#1434C241128yescomplemented
842C22⋊#95C241128yes—
843C22⋊#95C241128yes—
844C22⋊#95C241128yes—
845C22⋊#95C241256yescomplemented
846C22⋊#95C241256yescomplemented
847C4×#95C241128yescomplemented
848C26—28no—
849C26—28no—
850C26—28no—
851C26—28no—
852C26—2256no—
853C26—2256no—
854C26—2512no—
855C26—2512no—
856C26—2256no—
857C26—28no—
858C26—24no—
859C26—2192no—
860C26—296no—
861C26—216no—
862C26—216no—
863C26—216no—
864C26—216no—
865C26—28no—
866C26—24no—
867C26—24no—
868C26—24no—
869C26—2192no—
870C26—296no—
871C26—216no—
872C26—216no—
873C26—216no—
874C26—216no—
875C26—216no—
876C26—216no—
877C26—28no—
878C26—28no—
879C26—216no—
880C26—216no—
881C26—2256no—
882C26—2256no—
883C26—296no—
884C26—296no—
885C26—296no—
886C26—296no—
887C26—496no—
888C26—4256no—
889C26—496no—
890C26—4256no—
891C26—4256no—
892C26—4256no—
893C26—4256no—
894C26—4256no—
895C26—4256no—
896C26—4256no—
897C26—4256no—
898C26—4128no—
899C26—4128no—
900C26—4256no—
901C26—4128no—
902C26—4128no—
903C26—4128no—
904C26—4128no—
905C26C23×C4132yes—
906C26C23×C418yes—
907C26C23×C41192yes—
908C26C23×C418yes—
909C26C22×D4132yes—
910C26C22×D418yes—
911C26C22×D418yes—
912C26C22×D418yes—
913C26C2×#41132yes—
914C26C2×#4118yes—
915C26C2×#4118yes—
916C26C2×#4118yes—
917C26C2×#4118yes—
918C26C2×#4118yes—
919C26C2516yes—
920C26C25124yes—
921C26C25132yes—
922C26C2516yes—
923C26C2511yescharacteristic
924C23×D4—2256no—
925C23×D4—2512no—
926C23×D4—23072no—
927C23×D4—26144no—
928C23×D4—216384no—
929C23×D4—2256no—
930C23×D4—23072no—
931C23×D4—2512no—
932C23×D4—2128no—
933C23×D4—2128no—
934C23×D4—2128no—
935C23×D4—2128no—
936C23×D4—2128no—
937C23×D4—2128no—
938C23×D4—2192no—
939C23×D4—248no—
940C23×D4—2192no—
941C23×D4—248no—
942C23×D4—248no—
943C23×D4—248no—
944C23×D4—26144no—
945C23×D4—2512no—
946C23×D4—2512no—
947C23×D4—2512no—
948C23×D4—2512no—
949C23×D4—2192no—
950C23×D4—2192no—
951C23×D4—2192no—
952C23×D4—2192no—
953C23×D4—2256no—
954C23×D4—2256no—
955C23×D4—2256no—
956C23×D4—23072no—
957C23×D4—2256no—
958C23×D4—2256no—
959C23×D4—2256no—
960C23×D4—2256no—
961C23×D4—296no—
962C23×D4—2256no—
963C23×D4—296no—
964C23×D4—296no—
965C23×D4—296no—
966C23×D4—2256no—
967C23×D4—296no—
968C23×D4—296no—
969C23×D4—4256no—
970C23×D4—496no—
971C23×D4—496no—
972C23×D4—4256no—
973C23×D4—4256no—
974C23×D4—4256no—
975C23×D4—4256no—
976C23×D4C4×D41512yescomplemented
977C23×D4C4×D41256yescomplemented
978C23×D4C23×C41192yes—
979C23×D4C23×C41192yes—
980C23×D4C23×C4196yes—
981C23×D4C23×C41512yescomplemented
982C23×D4C23×C41384yescomplemented
983C23×D4C22×D41192yes—
984C23×D4C22×D4196yes—
985C23×D4C2×#411192yes—
986C23×D4C2×#41196yes—
987C23×D4C25132yes—
988C23×D4C25164yes—
989C23×D4C25132yes—
990C23×D4C25116yes—
991C24×C4—28no—
992C24×C4—28no—
993C24×C4—24no—
994C24×C4—24no—
995C24×C4—24no—
996C24×C4—28no—
997C24×C4—24no—
998C24×C4—24no—
999C24×C4—24no—
1000C24×C4—28no—
1001C24×C4—28no—
1002C24×C4—2256no—
1003C24×C4—2128no—
1004C24×C4—2128no—
1005C24×C4—2128no—
1006C24×C4—2256no—
1007C24×C4—2128no—
1008C24×C4—2256no—
1009C24×C4—2256no—
1010C24×C4—296no—
1011C24×C4—296no—
1012C24×C4—296no—
1013C24×C4—296no—
1014C24×C4—2256no—
1015C24×C4—2512no—
1016C24×C4—26144no—
1017C24×C4—2128no—
1018C24×C4—2128no—
1019C24×C4—296no—
1020C24×C4—216no—
1021C24×C4—216no—
1022C24×C4—216no—
1023C24×C4—2192no—
1024C24×C4—28no—
1025C24×C4—28no—
1026C24×C4—28no—
1027C24×C4—28no—
1028C24×C4—24no—
1029C24×C4—24no—
1030C24×C4—24no—
1031C24×C4—216no—
1032C24×C4—216no—
1033C24×C4—24no—
1034C24×C4—24no—
1035C24×C4—24no—
1036C24×C4—216no—
1037C24×C4—28no—
1038C24×C4—24no—
1039C24×C4—24no—
1040C24×C4—24no—
1041C24×C4—24no—
1042C24×C4—24no—
1043C24×C4—248no—
1044C24×C4—248no—
1045C24×C4—248no—
1046C24×C4—216no—
1047C24×C4—216no—
1048C24×C4—24no—
1049C24×C4—24no—
1050C24×C4—24no—
1051C24×C4—28no—
1052C24×C4—28no—
1053C24×C4—216no—
1054C24×C4—216no—
1055C24×C4—28no—
1056C24×C4—216no—
1057C24×C4—28no—
1058C24×C4—28no—
1059C24×C4—28no—
1060C24×C4—28no—
1061C24×C4—216no—
1062C24×C4—28no—
1063C24×C4—28no—
1064C24×C4—2128no—
1065C24×C4—2256no—
1066C24×C4—2512no—
1067C24×C4—2128no—
1068C24×C4—2128no—
1069C24×C4—2512no—
1070C24×C4—2256no—
1071C24×C4—2512no—
1072C24×C4—2192no—
1073C24×C4—2192no—
1074C24×C4—21024no—
1075C24×C4—2192no—
1076C24×C4—2512no—
1077C24×C4—2192no—
1078C24×C4—2192no—
1079C24×C4—2192no—
1080C24×C4—296no—
1081C24×C4—296no—
1082C24×C4—248no—
1083C24×C4—248no—
1084C24×C4—248no—
1085C24×C4—296no—
1086C24×C4—2192no—
1087C24×C4—248no—
1088C24×C4—248no—
1089C24×C4—248no—
1090C24×C4—296no—
1091C24×C4—2192no—
1092C24×C4—2192no—
1093C24×C4—296no—
1094C24×C4—296no—
1095C24×C4—216no—
1096C24×C4—216no—
1097C24×C4—296no—
1098C24×C4—216no—
1099C24×C4—216no—
1100C24×C4—216no—
1101C24×C4—216no—
1102C24×C4—216no—
1103C24×C4—2192no—
1104C24×C4—2512no—
1105C24×C4—296no—
1106C24×C4—2192no—
1107C24×C4—2512no—
1108C24×C4—4512no—
1109C24×C4—496no—
1110C24×C4—496no—
1111C24×C4—496no—
1112C24×C4—464no—
1113C24×C4—448no—
1114C24×C4—448no—
1115C24×C4—4128no—
1116C24×C4—4256no—
1117C24×C4—4256no—
1118C24×C4—46144no—
1119C24×C4—46144no—
1120C24×C4—4128no—
1121C24×C4—4128no—
1122C24×C4—4128no—
1123C24×C4—4256no—
1124C24×C4—4256no—
1125C24×C4—4256no—
1126C24×C4—4256no—
1127C24×C4—464no—
1128C24×C4—4256no—
1129C24×C4—416384no—
1130C24×C4—43072no—
1131C24×C4—4128no—
1132C24×C4—4128no—
1133C24×C4—464no—
1134C24×C4—464no—
1135C24×C4—464no—
1136C24×C4—4256no—
1137C24×C4—4256no—
1138C24×C4—43072no—
1139C24×C4—4128no—
1140C24×C4—464no—
1141C24×C4—464no—
1142C24×C4—4256no—
1143C24×C4—4256no—
1144C24×C4—4128no—
1145C24×C4—4256no—
1146C24×C4C4×D41256yescomplemented
1147C24×C4#1211256yescomplemented
1148C24×C4C23×C418yes—
1149C24×C4C23×C4132yes—
1150C24×C4C23×C418yes—
1151C24×C4C23×C418yes—
1152C24×C4C23×C4196yes—
1153C24×C4C23×C418yes—
1154C24×C4C23×C418yes—
1155C24×C4C23×C4196yescomplemented
1156C24×C4C22×D4132yes—
1157C24×C4C22×D41384yes—
1158C24×C4C22×D418yes—
1159C24×C4C22×D418yes—
1160C24×C4C22×D418yes—
1161C24×C4C22×D4196yes—
1162C24×C4C22×D418yes—
1163C24×C4C22×D4196yes—
1164C24×C4C22×D418yes—
1165C24×C4C22×D4116yes—
1166C24×C4C22×D418yes—
1167C24×C4C22×D418yes—
1168C24×C4C22×D418yes—
1169C24×C4C22×D4196yes—
1170C24×C4C22×D4196yes—
1171C24×C4C22×D4116yes—
1172C24×C4C22×D418yes—
1173C24×C4C22×D418yes—
1174C24×C4C22×D4116yes—
1175C24×C4C22×D418yes—
1176C24×C4C22×D4196yescomplemented
1177C24×C4C2×#4118yes—
1178C24×C4C2×#4118yes—
1179C24×C4C2×#4118yes—
1180C24×C4C2×#41196yes—
1181C24×C4C2×#4118yes—
1182C24×C4C2×#4118yes—
1183C24×C4C2×#41196yes—
1184C24×C4C2×#41116yes—
1185C24×C4C2×#4118yes—
1186C24×C4C2×#4118yes—
1187C24×C4H(5,𝔽2)116yes—
1188C24×C4C25124yes—
1189C24×C4C2516yes—
1190C24×C4C25124yes—
1191C24×C4C2516yes—
1192C24×C4C25116yes—
1193C24×C4C25124yes—
1194C24×C4C25164yes—
1195C24×C4C2516yes—
1196C24×C4C2516yes—
1197C24×C4C2516yes—
1198C24×C4C25116yes—
1199C24×C4C2516yes—
1200C24×C4C2516yes—
1201C24×C4C25132yes—
1202C24×C4C25164yes—
1203C24×C4C25116yes—
1204C24×C4C25116yes—
1205C24×C4C2516yes—
1206C24×C4C25116yes—
1207C24×C4C2516yes—
1208C24×C4C2516yes—
1209C24×C4C2516yes—
1210C24×C4C25116yes—
1211C24×C4C2516yes—
1212C24×C4C2516yes—
1213C2×#121—26144no—
1214C2×#121—2512no—
1215C2×#121—2512no—
1216C2×#121C23×C411024yescomplemented
1217C2×#120—26144no—
1218C2×#120—2512no—
1219C2×#120—2512no—
1220C2×#120C23×C411024yescomplemented
1221C2×C4×D4—23072no—
1222C2×C4×D4—26144no—
1223C2×C4×D4—26144no—
1224C2×C4×D4—26144no—
1225C2×C4×D4—232768no—
1226C2×C4×D4—2512no—
1227C2×C4×D4—2256no—
1228C2×C4×D4—23072no—
1229C2×C4×D4—23072no—
1230C2×C4×D4—21024no—
1231C2×C4×D4—2256no—
1232C2×C4×D4—2256no—
1233C2×C4×D4—2256no—
1234C2×C4×D4—2256no—
1235C2×C4×D4—2256no—
1236C2×C4×D4—21024no—
1237C2×C4×D4—21024no—
1238C2×C4×D4—2512no—
1239C2×C4×D4—21024no—
1240C2×C4×D4—2256no—
1241C2×C4×D4—26144no—
1242C2×C4×D4—2512no—
1243C2×C4×D4—2512no—
1244C2×C4×D4—2512no—
1245C2×C4×D4—2512no—
1246C2×C4×D4—2512no—
1247C2×C4×D4—4512no—
1248C2×C4×D4—46144no—
1249C2×C4×D4C23×C41512yescomplemented
1250C2×C4×D4C22×D411024yescomplemented
1251C2×C4×D4C22×D41512yescomplemented
1252C22×C4⋊C4—2256no—
1253C22×C4⋊C4—23072no—
1254C22×C4⋊C4—2128no—
1255C22×C4⋊C4—2128no—
1256C22×C4⋊C4—2256no—
1257C22×C4⋊C4—2256no—
1258C22×C4⋊C4—2128no—
1259C22×C4⋊C4—2192no—
1260C22×C4⋊C4—296no—
1261C22×C4⋊C4—2256no—
1262C22×C4⋊C4—296no—
1263C22×C4⋊C4—296no—
1264C22×C4⋊C4—248no—
1265C22×C4⋊C4—248no—
1266C22×C4⋊C4—248no—
1267C22×C4⋊C4—296no—
1268C22×C4⋊C4—248no—
1269C22×C4⋊C4—248no—
1270C22×C4⋊C4—248no—
1271C22×C4⋊C4—248no—
1272C22×C4⋊C4—296no—
1273C22×C4⋊C4—2512no—
1274C22×C4⋊C4—2192no—
1275C22×C4⋊C4—2192no—
1276C22×C4⋊C4—296no—
1277C22×C4⋊C4—296no—
1278C22×C4⋊C4—296no—
1279C22×C4⋊C4—496no—
1280C22×C4⋊C4—4256no—
1281C22×C4⋊C4—4128no—
1282C22×C4⋊C4C23×C4196yescomplemented
1283C22×C4⋊C4C23×C41192yescomplemented
1284C22×C4⋊C4C22×D41192yes—
1285C22×C4⋊C4C22×D4196yescomplemented
1286C22×C4⋊C4C25132yes—
1287C22×C4⋊C4C25116yes—
1288C22×C4⋊C4C25132yes—
1289C22×C4⋊C4C25164yes—
1290C22×C4⋊C4C25116yes—
1291C22×C4⋊C4C25132yes—
1292C22×C4⋊C4C25132yes—
1293C22×C4⋊C4C25116yes—
1294C22×C22⋊C4—2512no—
1295C22×C22⋊C4—26144no—
1296C22×C22⋊C4—2128no—
1297C22×C22⋊C4—2128no—
1298C22×C22⋊C4—2256no—
1299C22×C22⋊C4—2512no—
1300C22×C22⋊C4—2128no—
1301C22×C22⋊C4—2128no—
1302C22×C22⋊C4—2192no—
1303C22×C22⋊C4—248no—
1304C22×C22⋊C4—248no—
1305C22×C22⋊C4—248no—
1306C22×C22⋊C4—296no—
1307C22×C22⋊C4—2192no—
1308C22×C22⋊C4—248no—
1309C22×C22⋊C4—248no—
1310C22×C22⋊C4—248no—
1311C22×C22⋊C4—248no—
1312C22×C22⋊C4—296no—
1313C22×C22⋊C4—2192no—
1314C22×C22⋊C4—2128no—
1315C22×C22⋊C4—2512no—
1316C22×C22⋊C4—2512no—
1317C22×C22⋊C4—2128no—
1318C22×C22⋊C4—2192no—
1319C22×C22⋊C4—2192no—
1320C22×C22⋊C4—2512no—
1321C22×C22⋊C4—2192no—
1322C22×C22⋊C4—2192no—
1323C22×C22⋊C4—248no—
1324C22×C22⋊C4—248no—
1325C22×C22⋊C4—248no—
1326C22×C22⋊C4—2192no—
1327C22×C22⋊C4—248no—
1328C22×C22⋊C4—248no—
1329C22×C22⋊C4—248no—
1330C22×C22⋊C4—2192no—
1331C22×C22⋊C4—21024no—
1332C22×C22⋊C4—2192no—
1333C22×C22⋊C4—2192no—
1334C22×C22⋊C4—296no—
1335C22×C22⋊C4—2192no—
1336C22×C22⋊C4—296no—
1337C22×C22⋊C4—296no—
1338C22×C22⋊C4—2192no—
1339C22×C22⋊C4—2192no—
1340C22×C22⋊C4—2192no—
1341C22×C22⋊C4—2192no—
1342C22×C22⋊C4—2192no—
1343C22×C22⋊C4—2192no—
1344C22×C22⋊C4—2192no—
1345C22×C22⋊C4—4256no—
1346C22×C22⋊C4—496no—
1347C22×C22⋊C4—496no—
1348C22×C22⋊C4—496no—
1349C22×C22⋊C4—496no—
1350C22×C22⋊C4—496no—
1351C22×C22⋊C4—496no—
1352C22×C22⋊C4—496no—
1353C22×C22⋊C4—4256no—
1354C22×C22⋊C4—4256no—
1355C22×C22⋊C4—4256no—
1356C22×C22⋊C4—4256no—
1357C22×C22⋊C4—4256no—
1358C22×C22⋊C4—4128no—
1359C22×C22⋊C4C23×C4196yes—
1360C22×C22⋊C4C23×C41192yes—
1361C22×C22⋊C4C23×C4196yescomplemented
1362C22×C22⋊C4C23×C41384yescomplemented
1363C22×C22⋊C4C23×C41384yescomplemented
1364C22×C22⋊C4C23×C41384yescomplemented
1365C22×C22⋊C4C22×D41384yes—
1366C22×C22⋊C4C22×D4196yes—
1367C22×C22⋊C4C22×D4196yescomplemented
1368C22×C22⋊C4C2×#41196yes—
1369C22×C22⋊C4C25164yes—
1370C22×C22⋊C4C25116yes—
1371C22×C22⋊C4C25132yes—
1372C22×C22⋊C4C25164yes—
1373C22×C22⋊C4C25164yes—
1374C22×C22⋊C4C25164yes—
1375C22×C22⋊C4C25164yes—
1376C22×C22⋊C4C25164yes—
1377C22×C22⋊C4C25116yes—
1378C22×C22⋊C4C25132yes—
1379C22×C22⋊C4C25116yes—
1380C22×C22⋊C4C25164yes—
1381C22×C22⋊C4C25164yes—
1382C22×C22⋊C4C25164yes—
1383C22×C22⋊C4C25116yes—
1384C22×C22⋊C4C25116yes—
1385C22×C22⋊C4C25116yes—
1386C22×C22⋊C4C25164yes—
1387C22×C42—2128no—
1388C22×C42—2128no—
1389C22×C42—2128no—
1390C22×C42—2128no—
1391C22×C42—2128no—
1392C22×C42—2128no—
1393C22×C42—296no—
1394C22×C42—296no—
1395C22×C42—296no—
1396C22×C42—248no—
1397C22×C42—248no—
1398C22×C42—248no—
1399C22×C42—248no—
1400C22×C42—248no—
1401C22×C42—248no—
1402C22×C42—248no—
1403C22×C42—23072no—
1404C22×C42—2512no—
1405C22×C42—296no—
1406C22×C42—248no—
1407C22×C42—248no—
1408C22×C42—248no—
1409C22×C42—296no—
1410C22×C42—296no—
1411C22×C42—2192no—
1412C22×C42—2192no—
1413C22×C42—248no—
1414C22×C42—248no—
1415C22×C42—248no—
1416C22×C42—296no—
1417C22×C42—2192no—
1418C22×C42—296no—
1419C22×C42—2256no—
1420C22×C42—2512no—
1421C22×C42—448no—
1422C22×C42—464no—
1423C22×C42—464no—
1424C22×C42—464no—
1425C22×C42—464no—
1426C22×C42—464no—
1427C22×C42—464no—
1428C22×C42—4256no—
1429C22×C42—41536no—
1430C22×C42#1201256yescomplemented
1431C22×C42C23×C4196yescomplemented
1432C22×C42C22×D4196yes—
1433C22×C42C22×D4196yes—
1434C22×C42C22×D4196yes—
1435C22×C42C22×D41192yes—
1436C22×C42C22×D4196yes—
1437C22×C42C22×D41512yescomplemented
1438C22×C42C22×D4196yescomplemented
1439C22×C42C25116yes—
1440C22×C42C25116yes—
1441C22×C42C25116yes—
1442C22×C42C25116yes—
1443C22×C42C25164yes—
1444C22×C42C25116yes—
1445C22×C42C25116yes—
1446C22×C42C25116yes—
1447C22×C42C25116yes—
1448C22×C42C25116yes—
1449C22×C42C25116yes—
1450C22×C42C25116yes—
1451C22×C42C25116yes—
1452C22×C42C25116yes—
1453#394C23×C411024yescomplemented
1454#392C23×C411024yescomplemented
1455#390—2512no—
1456#390—2512no—
1457#390C23×C411024yescomplemented
1458#389—2512no—
1459#388—21024no—
1460#386—2512no—
1461#386—21024no—
1462#386—21024no—
1463#385—21024no—
1464#385—2512no—
1465#380—2256no—
1466#380—2512no—
1467#380C23×C41512yescomplemented
1468#379—2512no—
1469#379—2512no—
1470#379C23×C411024yescomplemented
1471C4×C4⋊C4—2256no—
1472C4×C4⋊C4—2256no—
1473C4×C4⋊C4—2256no—
1474C4×C4⋊C4—2512no—
1475C4×C22⋊C4—2256no—
1476C4×C22⋊C4—2256no—
1477C4×C22⋊C4—2256no—
1478C4×C22⋊C4—2512no—
1479C4×C22⋊C4—21024no—
1480C4×C22⋊C4—2256no—
1481C4×C22⋊C4—2256no—
1482C4×C22⋊C4—2256no—
1483C4×C22⋊C4—21024no—
1484C4×C22⋊C4—4512no—
1485C2×#95—248no—
1486C2×#95—248no—
1487C2×#95—248no—
1488C2×#95—248no—
1489C2×#95—248no—
1490C2×#95—248no—
1491C2×#95—2192no—
1492C2×#95—2192no—
1493C2×#95—2192no—
1494C2×#95—2192no—
1495C2×#95—2192no—
1496C2×#95—2192no—
1497C2×#95—296no—
1498C2×#95—496no—
1499C2×#95—496no—
1500C2×#95—496no—
1501C2×#95C23×C41192yescomplemented
1502C2×#95C25132yes—
1503C2×#95C25164yes—
1504C2×#95C25164yes—
1505C2×#95C25164yes—
1506C2×#95C25116yes—
1507C2×#95C25116yes—
1508C2×#95C25164yes—
1509C2×#95C25164yes—
1510C2×#95C25164yes—
1511C2×#95C25116yes—
1512C2×#95C25116yes—
1513C2×#95C25116yes—
1514C2×#95C25116yes—
1515C2×#95C25164yes—
1516C2×#95C25164yes—
1517C2×#95C25164yes—
1518C2×#95C25132yes—
1519C43—2256no—
1520C25—224no—
1521C25—224no—
1522C25—224no—
1523C25—224no—
1524C25—264no—
1525C25—264no—
1526C25—232no—
1527C25—232no—
1528C25—264no—
1529C25—232no—
1530C25—232no—
1531C25—264no—
1532C25—264no—
1533C25—264no—
1534C25—264no—
1535C25—264no—
1536C25—264no—
1537C25—264no—
1538C25—264no—
1539C25—264no—
1540C25—2768no—
1541C25—2768no—
1542C25—21536no—
1543C25—24096no—
1544C25—212no—
1545C25—248no—
1546C25—224no—
1547C25—2128no—
1548C25—264no—
1549C25—248no—
1550C25—248no—
1551C25—248no—
1552C25—212no—
1553C25—212no—
1554C25—212no—
1555C25—248no—
1556C25—248no—
1557C25—224no—
1558C25—2128no—
1559C25—264no—
1560C25—248no—
1561C25—248no—
1562C25—248no—
1563C25—224no—
1564C25—248no—
1565C25—248no—
1566C25—248no—
1567C25—224no—
1568C25—232no—
1569C25—2128no—
1570C25—264no—
1571C25—21536no—
1572C25—2768no—
1573C25—2128no—
1574C25—2128no—
1575C25—232no—
1576C25—2128no—
1577C25—2128no—
1578C25—264no—
1579C25—2128no—
1580C25—2128no—
1581C25—232no—
1582C25—232no—
1583C25—2128no—
1584C25—2128no—
1585C25—2128no—
1586C25—232no—
1587C25—232no—
1588C25—264no—
1589C25—2128no—
1590C25—2128no—
1591C25—2128no—
1592C25—2128no—
1593C25—264no—
1594C25—264no—
1595C25—2128no—
1596C25—2128no—
1597C25—2128no—
1598C25—264no—
1599C25—2128no—
1600C25—264no—
1601C25—264no—
1602C25—264no—
1603C25—264no—
1604C25—2768no—
1605C25—2768no—
1606C25—464no—
1607C25—4768no—
1608C25—464no—
1609C25—4768no—
1610C25—4768no—
1611C25—44096no—
1612C25—44096no—
1613C25—4768no—
1614C25—4768no—
1615C25—4768no—
1616C25—4768no—
1617C25—4768no—
1618C25—4768no—
1619C25—42048no—
1620C25—4384no—
1621C25—42048no—
1622C25—42048no—
1623C25—44096no—
1624C25—44096no—
1625C25—42048no—
1626C25—42048no—
1627C25—4768no—
1628C25—4384no—
1629C25—416no—
1630C25—4384no—
1631C25—464no—
1632C25—416no—
1633C25—432no—
1634C25—4384no—
1635C25—464no—
1636C25—4384no—
1637C25—464no—
1638C25—4384no—
1639C25—464no—
1640C25—464no—
1641C25—416no—
1642C25—416no—
1643C25—464no—
1644C25—432no—
1645C25—464no—
1646C25—464no—
1647C25—464no—
1648C25—464no—
1649C25—432no—
1650C25—432no—
1651C25—464no—
1652C25—464no—
1653C25—464no—
1654C25—432no—
1655C25—464no—
1656C25—432no—
1657C25—464no—
1658C25—464no—
1659C25—42048no—
1660C25C2×C4×D41256yes—
1661C25C2×C4×D4164yes—
1662C25C2×C4×D4164yes—
1663C25C2×C4×D4164yescomplemented
1664C25C4×#41164yes—
1665C25C2×#121164yes—
1666C25#525164yes—
1667C25#529164yes—
1668C25#532164yes—
1669C25C24×C4196yes—
1670C25C24×C4124yes—
1671C25C24×C41128yes—
1672C25C24×C4124yes—
1673C25C24×C414yes—
1674C25C23×D4196yes—
1675C25C23×D4124yes—
1676C25C23×D4124yes—
1677C25C23×D4124yes—
1678C25C23×D414yes—
1679C25C23×D418yes—
1680C25C23×D414yes—
1681C25C22×#41196yes—
1682C25C22×#41124yes—
1683C25C22×#41124yes—
1684C25C22×#41124yes—
1685C25C22×#41124yes—
1686C25C22×#41124yes—
1687C25C22×#4114yes—
1688C25C22×#4118yes—
1689C25C22×#4114yes—
1690C25C22×#4114yes—
1691C25C22×#4114yes—
1692C25C2×H(5,𝔽2)18yes—
1693C25#58518yes—
1694C25C26116yes—
1695C25C2614yes—
1696C25C2614yes—
1697C25C2613yes—
1698C22×D4—2768no—
1699C22×D4—22048no—
1700C22×D4—2768no—
1701C22×D4—21536no—
1702C22×D4—24096no—
1703C22×D4—22048no—
1704C22×D4—24096no—
1705C22×D4—249152no—
1706C22×D4—232no—
1707C22×D4—2128no—
1708C22×D4—232no—
1709C22×D4—232no—
1710C22×D4—232no—
1711C22×D4—2128no—
1712C22×D4—2384no—
1713C22×D4—21536no—
1714C22×D4—2384no—
1715C22×D4—2384no—
1716C22×D4—2384no—
1717C22×D4—2384no—
1718C22×D4—2384no—
1719C22×D4—22048no—
1720C22×D4—24096no—
1721C22×D4—2128no—
1722C22×D4—2128no—
1723C22×D4—2128no—
1724C22×D4—2128no—
1725C22×D4—21536no—
1726C22×D4—21536no—
1727C22×D4—264no—
1728C22×D4—264no—
1729C22×D4—264no—
1730C22×D4—264no—
1731C22×D4—264no—
1732C22×D4—264no—
1733C22×D4—2768no—
1734C22×D4—2768no—
1735C22×D4—2768no—
1736C22×D4—22048no—
1737C22×D4—2768no—
1738C22×D4—2768no—
1739C22×D4—2768no—
1740C22×D4—2768no—
1741C22×D4—24096no—
1742C22×D4—464no—
1743C22×D4—4768no—
1744C22×D4—464no—
1745C22×D4—4768no—
1746C22×D4—44096no—
1747C22×D4—4768no—
1748C22×D4—4768no—
1749C22×D4—4768no—
1750C22×D4C2×C4×D411536yescomplemented
1751C22×D4C2×C4×D41768yescomplemented
1752C22×D4C24×C41128yes—
1753C22×D4C24×C4164yes—
1754C22×D4C24×C41128yes—
1755C22×D4C24×C41256yescomplemented
1756C22×D4C23×D41128yes—
1757C22×D4C23×D4164yes—
1758C22×D4C22×#41164yes—
1759C22×D4C22×#411128yes—
1760C23×C4—212no—
1761C23×C4—224no—
1762C23×C4—224no—
1763C23×C4—212no—
1764C23×C4—212no—
1765C23×C4—212no—
1766C23×C4—212no—
1767C23×C4—212no—
1768C23×C4—224no—
1769C23×C4—224no—
1770C23×C4—224no—
1771C23×C4—232no—
1772C23×C4—264no—
1773C23×C4—232no—
1774C23×C4—232no—
1775C23×C4—232no—
1776C23×C4—232no—
1777C23×C4—232no—
1778C23×C4—232no—
1779C23×C4—232no—
1780C23×C4—264no—
1781C23×C4—232no—
1782C23×C4—232no—
1783C23×C4—232no—
1784C23×C4—232no—
1785C23×C4—264no—
1786C23×C4—264no—
1787C23×C4—264no—
1788C23×C4—264no—
1789C23×C4—264no—
1790C23×C4—264no—
1791C23×C4—264no—
1792C23×C4—264no—
1793C23×C4—2768no—
1794C23×C4—2384no—
1795C23×C4—2384no—
1796C23×C4—22048no—
1797C23×C4—2384no—
1798C23×C4—2768no—
1799C23×C4—2384no—
1800C23×C4—2768no—
1801C23×C4—2768no—
1802C23×C4—22048no—
1803C23×C4—2768no—
1804C23×C4—21536no—
1805C23×C4—24096no—
1806C23×C4—2384no—
1807C23×C4—224no—
1808C23×C4—264no—
1809C23×C4—248no—
1810C23×C4—248no—
1811C23×C4—224no—
1812C23×C4—248no—
1813C23×C4—224no—
1814C23×C4—224no—
1815C23×C4—212no—
1816C23×C4—212no—
1817C23×C4—212no—
1818C23×C4—248no—
1819C23×C4—248no—
1820C23×C4—212no—
1821C23×C4—212no—
1822C23×C4—212no—
1823C23×C4—2128no—
1824C23×C4—224no—
1825C23×C4—248no—
1826C23×C4—212no—
1827C23×C4—212no—
1828C23×C4—212no—
1829C23×C4—224no—
1830C23×C4—224no—
1831C23×C4—212no—
1832C23×C4—212no—
1833C23×C4—212no—
1834C23×C4—212no—
1835C23×C4—212no—
1836C23×C4—248no—
1837C23×C4—232no—
1838C23×C4—232no—
1839C23×C4—232no—
1840C23×C4—248no—
1841C23×C4—224no—
1842C23×C4—224no—
1843C23×C4—224no—
1844C23×C4—248no—
1845C23×C4—248no—
1846C23×C4—248no—
1847C23×C4—224no—
1848C23×C4—224no—
1849C23×C4—224no—
1850C23×C4—248no—
1851C23×C4—224no—
1852C23×C4—264no—
1853C23×C4—2128no—
1854C23×C4—232no—
1855C23×C4—232no—
1856C23×C4—2128no—
1857C23×C4—264no—
1858C23×C4—2128no—
1859C23×C4—232no—
1860C23×C4—2128no—
1861C23×C4—232no—
1862C23×C4—232no—
1863C23×C4—232no—
1864C23×C4—232no—
1865C23×C4—232no—
1866C23×C4—2384no—
1867C23×C4—232no—
1868C23×C4—264no—
1869C23×C4—2128no—
1870C23×C4—2128no—
1871C23×C4—264no—
1872C23×C4—264no—
1873C23×C4—264no—
1874C23×C4—264no—
1875C23×C4—2128no—
1876C23×C4—2128no—
1877C23×C4—2128no—
1878C23×C4—2128no—
1879C23×C4—2128no—
1880C23×C4—264no—
1881C23×C4—2128no—
1882C23×C4—232no—
1883C23×C4—232no—
1884C23×C4—232no—
1885C23×C4—264no—
1886C23×C4—232no—
1887C23×C4—232no—
1888C23×C4—232no—
1889C23×C4—264no—
1890C23×C4—2128no—
1891C23×C4—264no—
1892C23×C4—2128no—
1893C23×C4—2128no—
1894C23×C4—2384no—
1895C23×C4—2768no—
1896C23×C4—2384no—
1897C23×C4—21536no—
1898C23×C4—2384no—
1899C23×C4—2768no—
1900C23×C4—21536no—
1901C23×C4—21536no—
1902C23×C4—248no—
1903C23×C4—248no—
1904C23×C4—264no—
1905C23×C4—248no—
1906C23×C4—248no—
1907C23×C4—248no—
1908C23×C4—264no—
1909C23×C4—248no—
1910C23×C4—248no—
1911C23×C4—2128no—
1912C23×C4—264no—
1913C23×C4—2128no—
1914C23×C4—464no—
1915C23×C4—464no—
1916C23×C4—464no—
1917C23×C4—4192no—
1918C23×C4—432no—
1919C23×C4—432no—
1920C23×C4—4384no—
1921C23×C4—4768no—
1922C23×C4—4768no—
1923C23×C4—44096no—
1924C23×C4—44096no—
1925C23×C4—41024no—
1926C23×C4—4384no—
1927C23×C4—4384no—
1928C23×C4—4384no—
1929C23×C4—4768no—
1930C23×C4—4768no—
1931C23×C4—4768no—
1932C23×C4—4768no—
1933C23×C4—41024no—
1934C23×C4—4192no—
1935C23×C4—44096no—
1936C23×C4—4768no—
1937C23×C4—449152no—
1938C23×C4—42048no—
1939C23×C4—42048no—
1940C23×C4—4384no—
1941C23×C4—416no—
1942C23×C4—416no—
1943C23×C4—416no—
1944C23×C4—4384no—
1945C23×C4—464no—
1946C23×C4—416no—
1947C23×C4—432no—
1948C23×C4—416no—
1949C23×C4—416no—
1950C23×C4—416no—
1951C23×C4—464no—
1952C23×C4—416no—
1953C23×C4—416no—
1954C23×C4—416no—
1955C23×C4—416no—
1956C23×C4—416no—
1957C23×C4—432no—
1958C23×C4—464no—
1959C23×C4—464no—
1960C23×C4—432no—
1961C23×C4—464no—
1962C23×C4—432no—
1963C23×C4—432no—
1964C23×C4—432no—
1965C23×C4—464no—
1966C23×C4—464no—
1967C23×C4—432no—
1968C23×C4—432no—
1969C23×C4—464no—
1970C23×C4—4192no—
1971C23×C4—4192no—
1972C23×C4—4192no—
1973C23×C4—41024no—
1974C23×C4—44096no—
1975C23×C4—4768no—
1976C23×C4—4768no—
1977C23×C4—42048no—
1978C23×C4—4192no—
1979C23×C4—4384no—
1980C23×C4—4192no—
1981C23×C4—4768no—
1982C23×C4—4768no—
1983C23×C4—4384no—
1984C23×C4—4768no—
1985C23×C4—41024no—
1986C23×C4—464no—
1987C23×C4—464no—
1988C23×C4—464no—
1989C23×C4—464no—
1990C23×C4—464no—
1991C23×C4—464no—
1992C23×C4—464no—
1993C23×C4C2×C4×D4164yes—
1994C23×C4C2×C4×D41128yes—
1995C23×C4C2×C4×D4164yes—
1996C23×C4C2×C4×D41768yescomplemented
1997C23×C4C2×C4×D4164yescomplemented
1998C23×C4C2×#120164yes—
1999C23×C4C2×#120164yes—
2000C23×C4C2×#120164yes—
2001C23×C4C2×#121164yes—
2002C23×C4C2×#121164yes—
2003C23×C4C2×#1211768yescomplemented
2004C23×C4#5251128yes—
2005C23×C4#525164yes—
2006C23×C4#535164yes—
2007C23×C4D421128yes—
2008C23×C4#5461128yes—
2009C23×C4C24×C4124yes—
2010C23×C4C24×C4124yes—
2011C23×C4C24×C4196yes—
2012C23×C4C24×C4124yes—
2013C23×C4C24×C4124yes—
2014C23×C4C24×C4164yes—
2015C23×C4C24×C4124yes—
2016C23×C4C24×C4164yescomplemented
2017C23×C4C23×D4124yes—
2018C23×C4C23×D4124yes—
2019C23×C4C23×D4124yes—
2020C23×C4C23×D4196yes—
2021C23×C4C23×D41256yes—
2022C23×C4C23×D4164yes—
2023C23×C4C23×D4124yes—
2024C23×C4C23×D4124yes—
2025C23×C4C23×D4164yes—
2026C23×C4C23×D4124yes—
2027C23×C4C23×D4148yes—
2028C23×C4C23×D4124yes—
2029C23×C4C23×D4124yes—
2030C23×C4C23×D4164yes—
2031C23×C4C23×D4164yes—
2032C23×C4C23×D4148yes—
2033C23×C4C23×D4124yes—
2034C23×C4C23×D4124yes—
2035C23×C4C23×D4148yes—
2036C23×C4C23×D4124yes—
2037C23×C4C23×D4164yescomplemented
2038C23×C4C22×#41124yes—
2039C23×C4C22×#41124yes—
2040C23×C4C22×#41124yes—
2041C23×C4C22×#41124yes—
2042C23×C4C22×#41164yes—
2043C23×C4C22×#41124yes—
2044C23×C4C22×#41164yes—
2045C23×C4C22×#41148yes—
2046C23×C4C22×#41124yes—
2047C23×C4C22×#41124yes—
2048C23×C4C2×H(5,𝔽2)148yes—
2049C23×C4C26116yes—
2050C23×C4C2614yes—
2051C23×C4C2614yes—
2052C23×C4C26116yes—
2053C23×C4C2614yes—
2054C23×C4C2614yes—
2055C23×C4C2614yes—
2056C23×C4C26116yes—
2057C23×C4C2614yes—
2058C23×C4C2614yes—
2059C23×C4C2614yes—
2060C23×C4C2614yes—
2061C23×C4C2614yes—
2062C23×C4C2614yes—
2063C23×C4C2614yes—
2064C23×C4C2614yes—
2065#121—24096no—
2066#120—24096no—
2067C4×D4—22048no—
2068C4×D4—24096no—
2069C4×D4—24096no—
2070C4×D4—24096no—
2071C4×D4—22048no—
2072C4×D4—22048no—
2073C4×D4—24096no—
2074C4×D4—44096no—
2075C2×C4⋊C4—2768no—
2076C2×C4⋊C4—22048no—
2077C2×C4⋊C4—2384no—
2078C2×C4⋊C4—2128no—
2079C2×C4⋊C4—264no—
2080C2×C4⋊C4—264no—
2081C2×C4⋊C4—264no—
2082C2×C4⋊C4—232no—
2083C2×C4⋊C4—232no—
2084C2×C4⋊C4—232no—
2085C2×C4⋊C4—264no—
2086C2×C4⋊C4—232no—
2087C2×C4⋊C4—232no—
2088C2×C4⋊C4—232no—
2089C2×C4⋊C4—232no—
2090C2×C4⋊C4—264no—
2091C2×C4⋊C4—2384no—
2092C2×C4⋊C4—2768no—
2093C2×C4⋊C4—2768no—
2094C2×C4⋊C4—2384no—
2095C2×C4⋊C4—2128no—
2096C2×C4⋊C4—2128no—
2097C2×C4⋊C4—264no—
2098C2×C4⋊C4—264no—
2099C2×C4⋊C4—264no—
2100C2×C4⋊C4—464no—
2101C2×C4⋊C4—4768no—
2102C2×C4⋊C4—4384no—
2103C2×C4⋊C4C24×C4164yescomplemented
2104C2×C4⋊C4C24×C41128yescomplemented
2105C2×C4⋊C4C23×D41128yes—
2106C2×C4⋊C4C23×D4164yescomplemented
2107C2×C22⋊C4—21536no—
2108C2×C22⋊C4—24096no—
2109C2×C22⋊C4—2384no—
2110C2×C22⋊C4—2128no—
2111C2×C22⋊C4—232no—
2112C2×C22⋊C4—232no—
2113C2×C22⋊C4—232no—
2114C2×C22⋊C4—264no—
2115C2×C22⋊C4—2128no—
2116C2×C22⋊C4—232no—
2117C2×C22⋊C4—232no—
2118C2×C22⋊C4—232no—
2119C2×C22⋊C4—232no—
2120C2×C22⋊C4—264no—
2121C2×C22⋊C4—2128no—
2122C2×C22⋊C4—2384no—
2123C2×C22⋊C4—2768no—
2124C2×C22⋊C4—21536no—
2125C2×C22⋊C4—2384no—
2126C2×C22⋊C4—2384no—
2127C2×C22⋊C4—2128no—
2128C2×C22⋊C4—2128no—
2129C2×C22⋊C4—2128no—
2130C2×C22⋊C4—2128no—
2131C2×C22⋊C4—232no—
2132C2×C22⋊C4—232no—
2133C2×C22⋊C4—232no—
2134C2×C22⋊C4—2128no—
2135C2×C22⋊C4—232no—
2136C2×C22⋊C4—232no—
2137C2×C22⋊C4—232no—
2138C2×C22⋊C4—2128no—
2139C2×C22⋊C4—2384no—
2140C2×C22⋊C4—21536no—
2141C2×C22⋊C4—21536no—
2142C2×C22⋊C4—2384no—
2143C2×C22⋊C4—2128no—
2144C2×C22⋊C4—2128no—
2145C2×C22⋊C4—264no—
2146C2×C22⋊C4—2128no—
2147C2×C22⋊C4—264no—
2148C2×C22⋊C4—264no—
2149C2×C22⋊C4—2128no—
2150C2×C22⋊C4—2128no—
2151C2×C22⋊C4—2128no—
2152C2×C22⋊C4—2128no—
2153C2×C22⋊C4—2128no—
2154C2×C22⋊C4—2128no—
2155C2×C22⋊C4—2128no—
2156C2×C22⋊C4—4768no—
2157C2×C22⋊C4—464no—
2158C2×C22⋊C4—464no—
2159C2×C22⋊C4—464no—
2160C2×C22⋊C4—464no—
2161C2×C22⋊C4—464no—
2162C2×C22⋊C4—464no—
2163C2×C22⋊C4—464no—
2164C2×C22⋊C4—4768no—
2165C2×C22⋊C4—4768no—
2166C2×C22⋊C4—4768no—
2167C2×C22⋊C4—4768no—
2168C2×C22⋊C4—4768no—
2169C2×C22⋊C4—4384no—
2170C2×C22⋊C4C24×C4164yes—
2171C2×C22⋊C4C24×C41128yes—
2172C2×C22⋊C4C24×C4164yescomplemented
2173C2×C22⋊C4C24×C41256yescomplemented
2174C2×C22⋊C4C24×C41256yescomplemented
2175C2×C22⋊C4C24×C41256yescomplemented
2176C2×C22⋊C4C23×D41256yes—
2177C2×C22⋊C4C23×D4164yes—
2178C2×C22⋊C4C23×D4164yescomplemented
2179C2×C22⋊C4C22×#41164yes—
2180C2×C42—2384no—
2181C2×C42—264no—
2182C2×C42—264no—
2183C2×C42—264no—
2184C2×C42—232no—
2185C2×C42—232no—
2186C2×C42—232no—
2187C2×C42—232no—
2188C2×C42—232no—
2189C2×C42—232no—
2190C2×C42—232no—
2191C2×C42—2384no—
2192C2×C42—2384no—
2193C2×C42—2384no—
2194C2×C42—2384no—
2195C2×C42—2384no—
2196C2×C42—22048no—
2197C2×C42—2128no—
2198C2×C42—2128no—
2199C2×C42—232no—
2200C2×C42—232no—
2201C2×C42—232no—
2202C2×C42—264no—
2203C2×C42—232no—
2204C2×C42—232no—
2205C2×C42—232no—
2206C2×C42—264no—
2207C2×C42—264no—
2208C2×C42—264no—
2209C2×C42—2128no—
2210C2×C42—264no—
2211C2×C42—432no—
2212C2×C42—4192no—
2213C2×C42—4192no—
2214C2×C42—4192no—
2215C2×C42—4192no—
2216C2×C42—4192no—
2217C2×C42—4192no—
2218C2×C42—4768no—
2219C2×C42—41024no—
2220C2×C42C2×#1201768yescomplemented
2221C2×C42C24×C4164yescomplemented
2222C2×C42C23×D4164yes—
2223C2×C42C23×D4164yes—
2224C2×C42C23×D4164yes—
2225C2×C42C23×D4164yes—
2226C2×C42C23×D41128yes—
2227C2×C42C23×D4164yescomplemented
2228#95—232no—
2229#95—232no—
2230#95—232no—
2231#95—232no—
2232#95—232no—
2233#95—232no—
2234#95—2128no—
2235#95—2128no—
2236#95—2128no—
2237#95—2128no—
2238#95—2128no—
2239#95—2128no—
2240#95—264no—
2241#95—464no—
2242#95—464no—
2243#95—464no—
2244#95C24×C41128yescomplemented
2245C24—2256no—
2246C24—2512no—
2247C24—2512no—
2248C24—2256no—
2249C24—2256no—
2250C24—28no—
2251C24—2512no—
2252C24—28no—
2253C24—28no—
2254C24—28no—
2255C24—2512no—
2256C24—2256no—
2257C24—2256no—
2258C24—296no—
2259C24—296no—
2260C24—248no—
2261C24—248no—
2262C24—296no—
2263C24—248no—
2264C24—296no—
2265C24—248no—
2266C24—296no—
2267C24—296no—
2268C24—2256no—
2269C24—296no—
2270C24—296no—
2271C24—296no—
2272C24—296no—
2273C24—296no—
2274C24—296no—
2275C24—2256no—
2276C24—26144no—
2277C24—2256no—
2278C24—2512no—
2279C24—2512no—
2280C24—21024no—
2281C24—21024no—
2282C24—24no—
2283C24—216no—
2284C24—28no—
2285C24—216no—
2286C24—216no—
2287C24—216no—
2288C24—24no—
2289C24—24no—
2290C24—24no—
2291C24—216no—
2292C24—216no—
2293C24—28no—
2294C24—216no—
2295C24—216no—
2296C24—216no—
2297C24—28no—
2298C24—216no—
2299C24—216no—
2300C24—216no—
2301C24—28no—
2302C24—248no—
2303C24—2192no—
2304C24—296no—
2305C24—2512no—
2306C24—2256no—
2307C24—2192no—
2308C24—2192no—
2309C24—248no—
2310C24—2192no—
2311C24—2192no—
2312C24—296no—
2313C24—2192no—
2314C24—2192no—
2315C24—248no—
2316C24—248no—
2317C24—2192no—
2318C24—2192no—
2319C24—2192no—
2320C24—248no—
2321C24—248no—
2322C24—296no—
2323C24—2192no—
2324C24—2192no—
2325C24—21024no—
2326C24—2256no—
2327C24—2192no—
2328C24—2192no—
2329C24—296no—
2330C24—296no—
2331C24—2192no—
2332C24—2192no—
2333C24—2192no—
2334C24—296no—
2335C24—2192no—
2336C24—2256no—
2337C24—2256no—
2338C24—4256no—
2339C24—4256no—
2340C24—4256no—
2341C24—4256no—
2342C24—4256no—
2343C24—4256no—
2344C24—4256no—
2345C24—4256no—
2346C24—4256no—
2347C24—46144no—
2348C24—46144no—
2349C24—4128no—
2350C24—43072no—
2351C24—432768no—
2352C24—4256no—
2353C24—4128no—
2354C24—46144no—
2355C24—43072no—
2356C24—46144no—
2357C24—43072no—
2358C24—43072no—
2359C24—43072no—
2360C24—4128no—
2361C24—4512no—
2362C24—4512no—
2363C24—4256no—
2364C24—4512no—
2365C24—4512no—
2366C24—4128no—
2367C24—4128no—
2368C24—4512no—
2369C24—4256no—
2370C24—4512no—
2371C24—4512no—
2372C24—4256no—
2373C24—4512no—
2374C24—4512no—
2375C24—4128no—
2376C24—4512no—
2377C24—4128no—
2378C24—4512no—
2379C24—424no—
2380C24—4128no—
2381C24—496no—
2382C24—448no—
2383C24—424no—
2384C24—4128no—
2385C24—496no—
2386C24—4128no—
2387C24—496no—
2388C24—4128no—
2389C24—496no—
2390C24—496no—
2391C24—424no—
2392C24—448no—
2393C24—496no—
2394C24—496no—
2395C24—424no—
2396C24—496no—
2397C24—496no—
2398C24—496no—
2399C24—448no—
2400C24—4128no—
2401C24—4512no—
2402C24—43072no—
2403C24—448no—
2404C24—496no—
2405C24—496no—
2406C24—496no—
2407C24—448no—
2408C24—496no—
2409C24—448no—
2410C24—496no—
2411C24—496no—
2412C24C4×#1211512yescomplemented
2413C24C22×C4×D41384yes—
2414C24C22×C4×D4196yes—
2415C24C22×C4×D4196yes—
2416C24C22×C4×D4116yes—
2417C24C22×C4×D4116yes—
2418C24C22×C4×D4132yes—
2419C24C22×C4×D4196yescomplemented
2420C24C2×C4×#41196yes—
2421C24C2×C4×#41116yes—
2422C24C4×H(5,𝔽2)132yes—
2423C24C22×#120116yes—
2424C24C22×#121196yes—
2425C24C22×#121116yes—
2426C24C2×#525196yes—
2427C24C2×#525116yes—
2428C24C2×#525132yes—
2429C24C2×#525116yes—
2430C24C2×#529196yes—
2431C24C2×#529116yes—
2432C24C2×#532196yes—
2433C24C2×#532116yes—
2434C24C2×#535116yes—
2435C24#3449116yes—
2436C24#3460132yes—
2437C24C2×D42132yes—
2438C24C2×#546132yes—
2439C24D4×#41132yes—
2440C24D4×#41132yes—
2441C24D4×#41132yes—
2442C24#3475132yes—
2443C24#3481132yes—
2444C24#3481132yes—
2445C24C25×C4132yes—
2446C24C25×C418yes—
2447C24C25×C418yes—
2448C24C25×C416yes—
2449C24C24×D4132yes—
2450C24C24×D418yes—
2451C24C24×D418yes—
2452C24C24×D418yes—
2453C24C24×D416yes—
2454C24C24×D4112yes—
2455C24C24×D416yes—
2456C24C23×#41132yes—
2457C24C23×#4118yes—
2458C24C23×#4118yes—
2459C24C23×#4118yes—
2460C24C23×#4118yes—
2461C24C23×#4118yes—
2462C24C23×#4116yes—
2463C24C23×#41112yes—
2464C24C23×#4116yes—
2465C24C23×#4116yes—
2466C24C23×#4116yes—
2467C24C22×H(5,𝔽2)112yes—
2468C24C2×#585112yes—
2469C24C2711yescharacteristic
2470C2×D4—2256no—
2471C2×D4—26144no—
2472C2×D4—2256no—
2473C2×D4—2512no—
2474C2×D4—216384no—
2475C2×D4—2128no—
2476C2×D4—2512no—
2477C2×D4—2128no—
2478C2×D4—2128no—
2479C2×D4—2128no—
2480C2×D4—2128no—
2481C2×D4—2128no—
2482C2×D4—23072no—
2483C2×D4—2512no—
2484C2×D4—2512no—
2485C2×D4—2256no—
2486C2×D4—2256no—
2487C2×D4—2256no—
2488C2×D4—2256no—
2489C2×D4—2256no—
2490C2×D4—2256no—
2491C2×D4—2256no—
2492C2×D4—26144no—
2493C2×D4—4256no—
2494C2×D4—4256no—
2495C2×D4—4256no—
2496C2×D4—4256no—
2497C2×D4—4256no—
2498C2×D4—46144no—
2499C2×D4C22×C4×D41512yescomplemented
2500C2×D4C22×C4×D41256yescomplemented
2501C22×C4—2256no—
2502C22×C4—24no—
2503C22×C4—28no—
2504C22×C4—28no—
2505C22×C4—24no—
2506C22×C4—24no—
2507C22×C4—24no—
2508C22×C4—24no—
2509C22×C4—24no—
2510C22×C4—28no—
2511C22×C4—28no—
2512C22×C4—28no—
2513C22×C4—2256no—
2514C22×C4—248no—
2515C22×C4—296no—
2516C22×C4—248no—
2517C22×C4—248no—
2518C22×C4—248no—
2519C22×C4—248no—
2520C22×C4—248no—
2521C22×C4—248no—
2522C22×C4—248no—
2523C22×C4—296no—
2524C22×C4—248no—
2525C22×C4—248no—
2526C22×C4—248no—
2527C22×C4—248no—
2528C22×C4—296no—
2529C22×C4—296no—
2530C22×C4—2256no—
2531C22×C4—2256no—
2532C22×C4—296no—
2533C22×C4—296no—
2534C22×C4—23072no—
2535C22×C4—2256no—
2536C22×C4—2128no—
2537C22×C4—2128no—
2538C22×C4—2128no—
2539C22×C4—2256no—
2540C22×C4—2128no—
2541C22×C4—2256no—
2542C22×C4—2256no—
2543C22×C4—23072no—
2544C22×C4—2256no—
2545C22×C4—2512no—
2546C22×C4—2128no—
2547C22×C4—24no—
2548C22×C4—24no—
2549C22×C4—24no—
2550C22×C4—28no—
2551C22×C4—28no—
2552C22×C4—24no—
2553C22×C4—24no—
2554C22×C4—24no—
2555C22×C4—216no—
2556C22×C4—216no—
2557C22×C4—216no—
2558C22×C4—28no—
2559C22×C4—28no—
2560C22×C4—216no—
2561C22×C4—216no—
2562C22×C4—24no—
2563C22×C4—24no—
2564C22×C4—24no—
2565C22×C4—28no—
2566C22×C4—28no—
2567C22×C4—28no—
2568C22×C4—216no—
2569C22×C4—24no—
2570C22×C4—24no—
2571C22×C4—24no—
2572C22×C4—24no—
2573C22×C4—24no—
2574C22×C4—216no—
2575C22×C4—216no—
2576C22×C4—28no—
2577C22×C4—28no—
2578C22×C4—216no—
2579C22×C4—216no—
2580C22×C4—28no—
2581C22×C4—216no—
2582C22×C4—28no—
2583C22×C4—216no—
2584C22×C4—28no—
2585C22×C4—28no—
2586C22×C4—28no—
2587C22×C4—248no—
2588C22×C4—296no—
2589C22×C4—2192no—
2590C22×C4—248no—
2591C22×C4—2192no—
2592C22×C4—296no—
2593C22×C4—2192no—
2594C22×C4—248no—
2595C22×C4—2192no—
2596C22×C4—248no—
2597C22×C4—248no—
2598C22×C4—248no—
2599C22×C4—248no—
2600C22×C4—248no—
2601C22×C4—2128no—
2602C22×C4—248no—
2603C22×C4—296no—
2604C22×C4—2192no—
2605C22×C4—2192no—
2606C22×C4—296no—
2607C22×C4—296no—
2608C22×C4—296no—
2609C22×C4—2128no—
2610C22×C4—2256no—
2611C22×C4—2128no—
2612C22×C4—2512no—
2613C22×C4—2128no—
2614C22×C4—2256no—
2615C22×C4—2512no—
2616C22×C4—2512no—
2617C22×C4—216no—
2618C22×C4—216no—
2619C22×C4—216no—
2620C22×C4—216no—
2621C22×C4—216no—
2622C22×C4—216no—
2623C22×C4—216no—
2624C22×C4—464no—
2625C22×C4—4128no—
2626C22×C4—4256no—
2627C22×C4—4256no—
2628C22×C4—4128no—
2629C22×C4—4128no—
2630C22×C4—4128no—
2631C22×C4—41536no—
2632C22×C4—4256no—
2633C22×C4—4256no—
2634C22×C4—4256no—
2635C22×C4—4256no—
2636C22×C4—464no—
2637C22×C4—41536no—
2638C22×C4—4256no—
2639C22×C4—46144no—
2640C22×C4—416384no—
2641C22×C4—4128no—
2642C22×C4—43072no—
2643C22×C4—4128no—
2644C22×C4—4512no—
2645C22×C4—4128no—
2646C22×C4—4512no—
2647C22×C4—4128no—
2648C22×C4—4128no—
2649C22×C4—4128no—
2650C22×C4—4128no—
2651C22×C4—424no—
2652C22×C4—424no—
2653C22×C4—424no—
2654C22×C4—4128no—
2655C22×C4—496no—
2656C22×C4—424no—
2657C22×C4—424no—
2658C22×C4—448no—
2659C22×C4—424no—
2660C22×C4—424no—
2661C22×C4—424no—
2662C22×C4—424no—
2663C22×C4—496no—
2664C22×C4—448no—
2665C22×C4—424no—
2666C22×C4—424no—
2667C22×C4—424no—
2668C22×C4—496no—
2669C22×C4—496no—
2670C22×C4—448no—
2671C22×C4—496no—
2672C22×C4—4128no—
2673C22×C4—448no—
2674C22×C4—448no—
2675C22×C4—448no—
2676C22×C4—496no—
2677C22×C4—496no—
2678C22×C4—448no—
2679C22×C4—448no—
2680C22×C4—496no—
2681C22×C4—41536no—
2682C22×C4—46144no—
2683C22×C4—464no—
2684C22×C4—464no—
2685C22×C4—464no—
2686C22×C4—4256no—
2687C22×C4—4256no—
2688C22×C4—464no—
2689C22×C4—4128no—
2690C22×C4—464no—
2691C22×C4—4256no—
2692C22×C4—4256no—
2693C22×C4—4128no—
2694C22×C4—4256no—
2695C22×C4—41536no—
2696C22×C4—496no—
2697C22×C4—496no—
2698C22×C4—496no—
2699C22×C4—496no—
2700C22×C4—496no—
2701C22×C4—496no—
2702C22×C4—496no—
2703C22×C4—8256no—
2704C22×C4C4×#1201512yescomplemented
2705C22×C4#24081512yesdirect product factor
2706C22×C4C22×C4×D4196yes—
2707C22×C4C22×C4×D4196yes—
2708C22×C4C22×C4×D41192yes—
2709C22×C4C22×C4×D41256yescomplemented
2710C22×C4C22×C4×D4196yescomplemented
2711C22×C4C22×#120196yes—
2712C22×C4C22×#120196yes—
2713C22×C4C22×#120196yes—
2714C22×C4C22×#121196yes—
2715C22×C4C22×#121196yes—
2716C22×C4C22×#1211256yescomplemented
2717C22×C4C2×#525196yes—
2718C22×C4C2×#5251192yes—
2719C22×C4C2×#535196yes—
2720C22×C4C2×D421192yes—
2721C22×C4C2×#5461192yes—
2722C22×C4C25×C4132yes—
2723C22×C4C25×C418yes—
2724C22×C4C25×C418yes—
2725C22×C4C25×C418yes—
2726C22×C4C25×C418yes—
2727C22×C4C25×C418yes—
2728C22×C4C24×D418yes—
2729C22×C4C24×D418yes—
2730C22×C4C24×D4132yes—
2731C22×C4C24×D418yes—
2732C22×C4C24×D418yes—
2733C22×C4C24×D418yes—
2734C22×C4C24×D4116yes—
2735C22×C4C24×D418yes—
2736C22×C4C24×D418yes—
2737C22×C4C24×D418yes—
2738C22×C4C24×D418yes—
2739C22×C4C24×D4116yes—
2740C22×C4C24×D418yes—
2741C22×C4C24×D4116yes—
2742C22×C4C24×D418yes—
2743C22×C4C23×#4118yes—
2744C22×C4C23×#4118yes—
2745C22×C4C23×#4118yes—
2746C22×C4C23×#4118yes—
2747C22×C4C23×#4118yes—
2748C22×C4C23×#41116yes—
2749C22×C4C23×#4118yes—
2750C22×C4C23×#4118yes—
2751C22×C4C22×H(5,𝔽2)116yes—
2752C4⋊C4—2256no—
2753C4⋊C4—2128no—
2754C4⋊C4—2128no—
2755C4⋊C4—2256no—
2756C4⋊C4—2256no—
2757C4⋊C4—2128no—
2758C4⋊C4—4256no—
2759C4⋊C4—4128no—
2760C22⋊C4—2512no—
2761C22⋊C4—2128no—
2762C22⋊C4—2128no—
2763C22⋊C4—2256no—
2764C22⋊C4—2512no—
2765C22⋊C4—2128no—
2766C22⋊C4—2128no—
2767C22⋊C4—2128no—
2768C22⋊C4—2512no—
2769C22⋊C4—2512no—
2770C22⋊C4—2128no—
2771C22⋊C4—4256no—
2772C22⋊C4—4256no—
2773C22⋊C4—4256no—
2774C22⋊C4—4256no—
2775C22⋊C4—4256no—
2776C22⋊C4—4256no—
2777C22⋊C4—4128no—
2778C42—2128no—
2779C42—2128no—
2780C42—2128no—
2781C42—2128no—
2782C42—2128no—
2783C42—2128no—
2784C42—464no—
2785C42—464no—
2786C42—464no—
2787C42—464no—
2788C42—464no—
2789C42—464no—
2790C42—4256no—
2791C42C22×#1201256yescomplemented
2792C23—22048no—
2793C23—216no—
2794C23—216no—
2795C23—28no—
2796C23—2192no—
2797C23—28no—
2798C23—216no—
2799C23—28no—
2800C23—216no—
2801C23—28no—
2802C23—2192no—
2803C23—216no—
2804C23—216no—
2805C23—216no—
2806C23—216no—
2807C23—216no—
2808C23—2384no—
2809C23—2192no—
2810C23—216no—
2811C23—216no—
2812C23—216no—
2813C23—2384no—
2814C23—2192no—
2815C23—2192no—
2816C23—2192no—
2817C23—2384no—
2818C23—2384no—
2819C23—21024no—
2820C23—28no—
2821C23—232no—
2822C23—216no—
2823C23—232no—
2824C23—232no—
2825C23—28no—
2826C23—232no—
2827C23—232no—
2828C23—216no—
2829C23—232no—
2830C23—232no—
2831C23—2768no—
2832C23—28no—
2833C23—2192no—
2834C23—28no—
2835C23—232no—
2836C23—232no—
2837C23—232no—
2838C23—28no—
2839C23—28no—
2840C23—216no—
2841C23—232no—
2842C23—232no—
2843C23—232no—
2844C23—232no—
2845C23—216no—
2846C23—216no—
2847C23—232no—
2848C23—232no—
2849C23—232no—
2850C23—216no—
2851C23—232no—
2852C23—2384no—
2853C23—2768no—
2854C23—2768no—
2855C23—41024no—
2856C23—41024no—
2857C23—4512no—
2858C23—424576no—
2859C23—41024no—
2860C23—4512no—
2861C23—4512no—
2862C23—4512no—
2863C23—41024no—
2864C23—4512no—
2865C23—41024no—
2866C23—44096no—
2867C23—44no—
2868C23—496no—
2869C23—416no—
2870C23—4384no—
2871C23—4512no—
2872C23—48no—
2873C23—44no—
2874C23—416no—
2875C23—416no—
2876C23—416no—
2877C23—416no—
2878C23—44no—
2879C23—48no—
2880C23—416no—
2881C23—416no—
2882C23—44no—
2883C23—416no—
2884C23—4384no—
2885C23—496no—
2886C23—416no—
2887C23—416no—
2888C23—48no—
2889C23—48no—
2890C23—416no—
2891C23—416no—
2892C23—416no—
2893C23—4192no—
2894C23—4384no—
2895C23—4384no—
2896C23—496no—
2897C23—4384no—
2898C23—48no—
2899C23—416no—
2900C23—48no—
2901C23—416no—
2902C23—416no—
2903C23—4192no—
2904C23—4384no—
2905C23—4384no—
2906C23—496no—
2907C23—4384no—
2908C23—496no—
2909C23—4384no—
2910C23—496no—
2911C23—4384no—
2912C23—4384no—
2913C23—4192no—
2914C23—4384no—
2915C23C2×C4×#120164yes—
2916C23C2×C4×#121164yes—
2917C23C2×C4×#1211384yescomplemented
2918C23C4×#535164yes—
2919C23C4×D421128yes—
2920C23C4×#5461128yes—
2921C23C2×#2408164yes—
2922C23#346811128yes—
2923C23#347001128yes—
2924C23#34736164yes—
2925C23#34935164yes—
2926C23#34963164yes—
2927C23C23×C4×D4164yes—
2928C23C23×C4×D4116yes—
2929C23C23×C4×D4116yes—
2930C23C23×C4×D4112yes—
2931C23C23×C4×D4124yes—
2932C23C23×C4×D4112yes—
2933C23C23×C4×D4116yescomplemented
2934C23C22×C4×#41116yes—
2935C23C22×C4×#41112yes—
2936C23C2×C4×H(5,𝔽2)124yes—
2937C23C23×#120112yes—
2938C23C23×#121116yes—
2939C23C23×#121112yes—
2940C23C22×#525116yes—
2941C23C22×#525124yes—
2942C23C22×#525112yes—
2943C23C22×#525112yes—
2944C23C22×#529116yes—
2945C23C22×#529112yes—
2946C23C22×#532116yes—
2947C23C22×#532112yes—
2948C23C22×#535112yes—
2949C23C2×#3460124yes—
2950C23C2×#3449112yes—
2951C23C22×D42124yes—
2952C23C22×#546124yes—
2953C23C2×D4×#41124yes—
2954C23C2×D4×#41124yes—
2955C23C2×D4×#41124yes—
2956C23C2×#3475124yes—
2957C23C2×#3481124yes—
2958C23C2×#3481124yes—
2959C23C26×C411yescharacteristic
2960C23C25×D411yescharacteristic
2961C23C25×D412yes—
2962C23C25×D411yescharacteristic
2963C23C24×#4111yescharacteristic
2964C23C24×#4112yes—
2965C23C24×#4111yescharacteristic
2966C23C24×#4111yescharacteristic
2967C23C24×#4111yescharacteristic
2968C23C23×H(5,𝔽2)12yes—
2969C23C22×#58512yes—
2970D4—21024no—
2971D4—2512no—
2972D4—21024no—
2973D4—41024no—
2974C2×C4—28no—
2975C2×C4—216no—
2976C2×C4—28no—
2977C2×C4—28no—
2978C2×C4—28no—
2979C2×C4—2192no—
2980C2×C4—28no—
2981C2×C4—2192no—
2982C2×C4—28no—
2983C2×C4—28no—
2984C2×C4—28no—
2985C2×C4—216no—
2986C2×C4—28no—
2987C2×C4—28no—
2988C2×C4—28no—
2989C2×C4—28no—
2990C2×C4—2192no—
2991C2×C4—216no—
2992C2×C4—216no—
2993C2×C4—216no—
2994C2×C4—216no—
2995C2×C4—2192no—
2996C2×C4—2512no—
2997C2×C4—2512no—
2998C2×C4—28no—
2999C2×C4—216no—
3000C2×C4—232no—
3001C2×C4—28no—
3002C2×C4—232no—
3003C2×C4—216no—
3004C2×C4—232no—
3005C2×C4—28no—
3006C2×C4—232no—
3007C2×C4—28no—
3008C2×C4—28no—
3009C2×C4—28no—
3010C2×C4—28no—
3011C2×C4—28no—
3012C2×C4—28no—
3013C2×C4—216no—
3014C2×C4—232no—
3015C2×C4—232no—
3016C2×C4—216no—
3017C2×C4—216no—
3018C2×C4—216no—
3019C2×C4—4256no—
3020C2×C4—4256no—
3021C2×C4—41024no—
3022C2×C4—4512no—
3023C2×C4—44no—
3024C2×C4—44no—
3025C2×C4—44no—
3026C2×C4—496no—
3027C2×C4—416no—
3028C2×C4—44no—
3029C2×C4—44no—
3030C2×C4—48no—
3031C2×C4—44no—
3032C2×C4—44no—
3033C2×C4—44no—
3034C2×C4—44no—
3035C2×C4—416no—
3036C2×C4—48no—
3037C2×C4—44no—
3038C2×C4—44no—
3039C2×C4—44no—
3040C2×C4—496no—
3041C2×C4—4384no—
3042C2×C4—416no—
3043C2×C4—416no—
3044C2×C4—48no—
3045C2×C4—416no—
3046C2×C4—48no—
3047C2×C4—48no—
3048C2×C4—48no—
3049C2×C4—416no—
3050C2×C4—416no—
3051C2×C4—496no—
3052C2×C4—48no—
3053C2×C4—48no—
3054C2×C4—416no—
3055C2×C4—496no—
3056C2×C4—496no—
3057C2×C4—496no—
3058C2×C4—496no—
3059C2×C4—4384no—
3060C2×C4—4256no—
3061C2×C4—4256no—
3062C2×C4—41024no—
3063C2×C4—416no—
3064C2×C4—416no—
3065C2×C4—416no—
3066C2×C4—416no—
3067C2×C4—416no—
3068C2×C4—416no—
3069C2×C4—416no—
3070C2×C4—8192no—
3071C2×C4C2×C4×#1201384yescomplemented
3072C2×C4C2×#24081384yesdirect product factor
3073C2×C4C23×C4×D4116yes—
3074C2×C4C23×C4×D4116yes—
3075C2×C4C23×C4×D4132yes—
3076C2×C4C23×C4×D4116yescomplemented
3077C2×C4C23×#120116yes—
3078C2×C4C23×#120116yes—
3079C2×C4C23×#120116yes—
3080C2×C4C23×#121116yes—
3081C2×C4C23×#121116yes—
3082C2×C4C22×#525116yes—
3083C2×C4C22×#525132yes—
3084C2×C4C22×#535116yes—
3085C2×C4C22×D42132yes—
3086C2×C4C22×#546132yes—
3087C22—2768no—
3088C22—232no—
3089C22—232no—
3090C22—216no—
3091C22—216no—
3092C22—232no—
3093C22—216no—
3094C22—216no—
3095C22—232no—
3096C22—216no—
3097C22—216no—
3098C22—232no—
3099C22—264no—
3100C22—264no—
3101C22—264no—
3102C22—216no—
3103C22—42048no—
3104C22—4384no—
3105C22—41536no—
3106C22—416no—
3107C22—432no—
3108C22—432no—
3109C22—432no—
3110C22—48no—
3111C22—432no—
3112C22—48no—
3113C22—416no—
3114C22—432no—
3115C22—432no—
3116C22—48no—
3117C22—432no—
3118C22—48no—
3119C22—432no—
3120C22—416no—
3121C22—432no—
3122C22—432no—
3123C22—48no—
3124C22—432no—
3125C22—432no—
3126C22—48no—
3127C22C4×#24081256yesdirect product factor
3128C22C22×C4×#120124yes—
3129C22C22×C4×#121124yes—
3130C22C22×C4×#121132yescomplemented
3131C22C2×C4×#535124yes—
3132C22C2×C4×D42148yes—
3133C22C2×C4×#546148yes—
3134C22C22×#2408124yes—
3135C22C2×#34681148yes—
3136C22C2×#34700148yes—
3137C22C2×#34736124yes—
3138C22C2×#34935124yes—
3139C22C2×#34963124yes—
3140C22C24×C4×D411yescharacteristic
3141C22C24×C4×D412yes—
3142C22C24×C4×D411yescharacteristic
3143C22C23×C4×#4111yescharacteristic
3144C22C22×C4×H(5,𝔽2)12yes—
3145C22C24×#12011yescharacteristic
3146C22C24×#12111yescharacteristic
3147C22C23×#52512yes—
3148C22C23×#52511yescharacteristic
3149C22C23×#52511yescharacteristic
3150C22C23×#52911yescharacteristic
3151C22C23×#53211yescharacteristic
3152C22C23×#53511yescharacteristic
3153C22C22×#346012yes—
3154C22C22×#344911yescharacteristic
3155C22C23×D4212yes—
3156C22C23×#54612yes—
3157C22C22×D4×#4112yes—
3158C22C22×D4×#4112yes—
3159C22C22×D4×#4112yes—
3160C22C22×#347512yes—
3161C22C22×#348112yes—
3162C22C22×#348112yes—
3163C4—216no—
3164C4—216no—
3165C4—216no—
3166C4—216no—
3167C4—432no—
3168C4—48no—
3169C4—48no—
3170C4—48no—
3171C4—48no—
3172C4—48no—
3173C4—48no—
3174C4—48no—
3175C4—432no—
3176C4—816no—
3177C4C22×C4×#120132yescomplemented
3178C4C22×#2408132yesdirect product factor
3179C2—232no—
3180C2—416no—
3181C2—464no—
3182C2C22×#3473611yescharacteristic
3183C2C22×C4×D4212yes—
3184C2C23×#240811yescharacteristic
3185C2C23×C4×#12011yescharacteristic
3186C2C2×C4×#2408148yesdirect product factor
3187C2C22×#3496311yescharacteristic
3188C2C23×C4×#12111yescharacteristic
3189C2C22×#3468112yes—
3190C2C22×#3493511yescharacteristic
3191C2C22×C4×#54612yes—
3192C2C22×C4×#53511yescharacteristic
3193C2C22×#3470012yes—
subgroupG/H
center, socleC25×C4C24
commutatorC23C26×C4
Frattini, cosocleC24C27
prime radicalC23×#2408C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C25×C4 ◁ G
LECSG ▷ C24 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C22×#14176C2semidirect
2. C22×C4×#390C2semidirect
3. C22×C4×#380C2semidirect
4. C22×#14130C2semidirect
5. C22×#13991C2semidirect
6. C22×#13872C2semidirect
7. C22×C4×#394C2semidirect
8. C22×#13970C2semidirect
9. C22×#14018C2semidirect
10. C23×C42×D4C2semidirect
11. C22×C4×#392C2semidirect
12. C22×#14175C2semidirect
13. C22×C4×#379C2semidirect
14. C22×#13902C2semidirect
15. C23×C4×#121C2semidirect
16. C25×C4×D4C2semidirect
17. C2×C4×#2408C2direct (N × H)
18. C23×C4×#120C2semidirect
20. C22×#13967C2semidirect
34. C24×C4×D4C22semidirect
35. C24×C4×D4C22semidirect
39. C25×C42C22semidirect
40. C22×#2408C4direct (N × H)
45. C22×C4×#121C22semidirect
47. C22×C4×#120C22semidirect
51. C23×#389C22semidirect
52. C23×#388C22semidirect
54. C23×#386C22semidirect
55. C23×#386C22semidirect
57. C23×#385C22semidirect
60. C23×#380C22semidirect
65. C22×C42×D4C22semidirect
66. C23×C4×C4⋊C4C22semidirect
67. C23×C4×C4⋊C4C22semidirect
68. C23×C4×C4⋊C4C22semidirect
69. C23×C4×C4⋊C4C22semidirect
74. C23×C4×C22⋊C4C22semidirect
75. C23×C4×C22⋊C4C22semidirect
76. C23×C4×C22⋊C4C22semidirect
77. C23×C4×C22⋊C4C22semidirect
78. C23×C4×C22⋊C4C22semidirect
79. C23×C4×C22⋊C4C22semidirect
80. C23×C43C22semidirect
81. C4×#2408C22direct (N × H)
82. C2×#14176C22semidirect
83. C2×#14175C22semidirect
84. C2×#14130C22semidirect
85. C2×#14018C22semidirect
86. C2×#13991C22semidirect
87. C2×#13970C22semidirect
88. C2×#13967C22semidirect
89. C2×#13902C22semidirect
90. C2×#13872C22semidirect
91. C2×C4×#394C22semidirect
92. C2×C4×#392C22semidirect
93. C22×#1444C22semidirect
94. C22×#1442C22semidirect
95. C22×#1441C22semidirect
96. C22×#1440C22semidirect
97. C22×#1439C22semidirect
98. C22×#1439C22semidirect
99. C22×#1439C22semidirect
102. C22×#1438C22semidirect
103. C2×C4×#380C22semidirect
104. C2×C4×#379C22semidirect
105. C2×C4×#390C22semidirect
106. C22×#1437C22semidirect
107. C22×#1437C22semidirect
108. C22×C4⋊#95C22semidirect
109. C22×C4⋊#95C22semidirect
110. C22×C4⋊#95C22semidirect
111. C22×#1434C22semidirect
115. C22×C22⋊#95C22semidirect
116. C22×C22⋊#95C22semidirect
117. C22×C4×#95C22semidirect
123. C25×D4C2×C4semidirect
146. C23×#121C2×C4semidirect
150. C23×#120C2×C4semidirect
174. C23×C4×D4C2×C4semidirect
175. C23×C4×D4D4semidirect
176. C23×C4×D4D4semidirect
184. C23×C4×D4C23semidirect
185. C23×C4×D4C23semidirect
221. C24×C42D4semidirect
237. C24×C42C23semidirect
238. C2×#2408C2×C4direct (N × H)
240. C22×#394C2×C4semidirect
242. C22×#392C2×C4semidirect
245. C2×C4×#121C23semidirect
247. C2×C4×#120C23semidirect
250. C22×#390C2×C4semidirect
255. C22×#389C23semidirect
257. C22×#388C23semidirect
262. C22×#386C23semidirect
263. C22×#386C23semidirect
267. C22×#385C23semidirect
270. C22×#380C2×C4semidirect
273. C22×#380C23semidirect
276. C22×#379C2×C4semidirect
281. C2×C42×D4C23semidirect
286. C22×C4×C4⋊C4C23semidirect
287. C22×C4×C4⋊C4C23semidirect
288. C22×C4×C4⋊C4C23semidirect
289. C22×C4×C4⋊C4C23semidirect
304. C22×C4×C22⋊C4C23semidirect
305. C22×C4×C22⋊C4C23semidirect
306. C22×C4×C22⋊C4C23semidirect
307. C22×C4×C22⋊C4C23semidirect
308. C22×C4×C22⋊C4C23semidirect
309. C22×C4×C22⋊C4C23semidirect
328. C22×C43C23semidirect
329. #14176C23semidirect
330. #14175C23semidirect
331. #14130C23semidirect
332. #14018C23semidirect
333. #13991C23semidirect
334. #13970C23semidirect
335. #13967C23semidirect
336. #13902C23semidirect
337. #13872C23semidirect
338. C4×#394C23semidirect
339. C4×#392C23semidirect
340. C2×#1444C23semidirect
341. C2×#1442C23semidirect
342. C2×#1441C23semidirect
343. C2×#1440C23semidirect
344. C2×#1439C23semidirect
345. C2×#1439C23semidirect
346. C2×#1439C23semidirect
349. C2×#1438C23semidirect
350. C4×#380C23semidirect
351. C4×#379C23semidirect
352. C4×#390C23semidirect
353. C2×#1437C23semidirect
354. C2×#1437C23semidirect
355. C2×C4⋊#95C23semidirect
356. C2×C4⋊#95C23semidirect
357. C2×C4⋊#95C23semidirect
358. C2×#1434C23semidirect
362. C2×C22⋊#95C23semidirect
363. C2×C22⋊#95C23semidirect
364. C2×C4×#95C23semidirect
410. C24×D4C22×C4semidirect
411. C24×D4C22×C4semidirect
471. C25×C4C22×C4semidirect
477. C25×C4C2×D4semidirect
509. C22×#121C22×C4semidirect
514. C22×#120C22×C4semidirect
546. C22×C4×D4C22×C4semidirect
547. C22×C4×D4C2×D4semidirect
548. C22×C4×D4C2×D4semidirect
556. C22×C4×D4C24semidirect
579. C23×C4⋊C4C22×C4semidirect
580. C23×C4⋊C4C22×C4semidirect
582. C23×C4⋊C4C2×D4semidirect
641. C23×C22⋊C4C22×C4semidirect
642. C23×C22⋊C4C22×C4semidirect
643. C23×C22⋊C4C22×C4semidirect
644. C23×C22⋊C4C22×C4semidirect
647. C23×C22⋊C4C2×D4semidirect
698. C23×C42C22×C4semidirect
704. C23×C42C2×D4semidirect
705. C23×C42C2×D4semidirect
721. C23×C42C24semidirect
722. #2408C22×C4direct (N × H)
723. C2×#394C22×C4semidirect
725. C2×#392C22×C4semidirect
731. C2×#390C22×C4semidirect
736. C2×#389C24semidirect
738. C2×#388C24semidirect
743. C2×#386C24semidirect
744. C2×#386C24semidirect
748. C2×#385C24semidirect
751. C2×#380C22×C4semidirect
754. C2×#380C24semidirect
757. C2×#379C22×C4semidirect
766. C2×C4×C4⋊C4C24semidirect
767. C2×C4×C4⋊C4C24semidirect
768. C2×C4×C4⋊C4C24semidirect
769. C2×C4×C4⋊C4C24semidirect
784. C2×C4×C22⋊C4C24semidirect
785. C2×C4×C22⋊C4C24semidirect
786. C2×C4×C22⋊C4C24semidirect
787. C2×C4×C22⋊C4C24semidirect
788. C2×C4×C22⋊C4C24semidirect
789. C2×C4×C22⋊C4C24semidirect
806. C22×#95C22×C4semidirect
825. C2×C43C24semidirect
826. #1444C24semidirect
827. #1442C24semidirect
828. #1441C24semidirect
829. #1440C24semidirect
830. #1439C24semidirect
831. #1439C24semidirect
832. #1439C24semidirect
835. #1438C24semidirect
836. #1437C24semidirect
837. #1437C24semidirect
838. C4⋊#95C24semidirect
839. C4⋊#95C24semidirect
840. C4⋊#95C24semidirect
841. #1434C24semidirect
845. C22⋊#95C24semidirect
846. C22⋊#95C24semidirect
847. C4×#95C24semidirect
976. C23×D4C4×D4semidirect
977. C23×D4C4×D4semidirect
981. C23×D4C23×C4semidirect
982. C23×D4C23×C4semidirect
1146. C24×C4C4×D4semidirect
1147. C24×C4#121semidirect
1155. C24×C4C23×C4semidirect
1176. C24×C4C22×D4semidirect
1216. C2×#121C23×C4semidirect
1220. C2×#120C23×C4semidirect
1249. C2×C4×D4C23×C4semidirect
1250. C2×C4×D4C22×D4semidirect
1251. C2×C4×D4C22×D4semidirect
1282. C22×C4⋊C4C23×C4semidirect
1283. C22×C4⋊C4C23×C4semidirect
1285. C22×C4⋊C4C22×D4semidirect
1361. C22×C22⋊C4C23×C4semidirect
1362. C22×C22⋊C4C23×C4semidirect
1363. C22×C22⋊C4C23×C4semidirect
1364. C22×C22⋊C4C23×C4semidirect
1367. C22×C22⋊C4C22×D4semidirect
1430. C22×C42#120semidirect
1431. C22×C42C23×C4semidirect
1437. C22×C42C22×D4semidirect
1438. C22×C42C22×D4semidirect
1453. #394C23×C4semidirect
1454. #392C23×C4semidirect
1457. #390C23×C4semidirect
1467. #380C23×C4semidirect
1470. #379C23×C4semidirect
1501. C2×#95C23×C4semidirect
1663. C25C2×C4×D4semidirect
1750. C22×D4C2×C4×D4semidirect
1751. C22×D4C2×C4×D4semidirect
1755. C22×D4C24×C4semidirect
1996. C23×C4C2×C4×D4semidirect
1997. C23×C4C2×C4×D4semidirect
2003. C23×C4C2×#121semidirect
2016. C23×C4C24×C4semidirect
2037. C23×C4C23×D4semidirect
2103. C2×C4⋊C4C24×C4semidirect
2104. C2×C4⋊C4C24×C4semidirect
2106. C2×C4⋊C4C23×D4semidirect
2172. C2×C22⋊C4C24×C4semidirect
2173. C2×C22⋊C4C24×C4semidirect
2174. C2×C22⋊C4C24×C4semidirect
2175. C2×C22⋊C4C24×C4semidirect
2178. C2×C22⋊C4C23×D4semidirect
2220. C2×C42C2×#120semidirect
2221. C2×C42C24×C4semidirect
2227. C2×C42C23×D4semidirect
2244. #95C24×C4semidirect
2412. C24C4×#121semidirect
2419. C24C22×C4×D4semidirect
2499. C2×D4C22×C4×D4semidirect
2500. C2×D4C22×C4×D4semidirect
2704. C22×C4C4×#120semidirect
2705. C22×C4#2408direct (N × H)
2709. C22×C4C22×C4×D4semidirect
2710. C22×C4C22×C4×D4semidirect
2716. C22×C4C22×#121semidirect
2791. C42C22×#120semidirect
2917. C23C2×C4×#121semidirect
2933. C23C23×C4×D4semidirect
3071. C2×C4C2×C4×#120semidirect
3072. C2×C4C2×#2408direct (N × H)
3076. C2×C4C23×C4×D4semidirect
3127. C22C4×#2408direct (N × H)
3130. C22C22×C4×#121semidirect
3177. C4C22×C4×#120semidirect
3178. C4C22×#2408direct (N × H)
3186. C2C2×C4×#2408direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C22×#141762
C22×C4×#3902
C22×C4×#3802
C22×#141302
C22×#139912
C22×#138722
C22×C4×#3942
C22×#139702
C22×#140182
C23×C42×D42
C22×C4×#3922
C22×#141752
C22×C4×#3792
C22×#139022
C23×C4×#1212
C25×C4×D42
C2×C4×#24082
C23×C4×#1202
C23×#24082
C22×#139672