Finite Group Databasebeta

← C22×C4×D4×C22⋊C4 #72324248

Subgroups — C22×C4×D4×C22⋊C4 #72324248

Order 2048.

1172760 conjugacy classes of subgroups.

The subgroup lattice has 2211 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×#390C212yesmaximal, complemented
2C22×C4×#380C211yesmaximal, characteristic, complemented
3C22×C22⋊C4×C4⋊C4C212yesmaximal, complemented
4C22×C42×C22⋊C4C211yesmaximal, characteristic, complemented
5C2×C4×D4×C22⋊C4C2196yesmaximal, direct product factor
6C22×#13820C212yesmaximal, complemented
7C24×C4×C22⋊C4C212yesmaximal, complemented
8C23×C42×D4C212yesmaximal, complemented
9C22×D4×#95C212yesmaximal, complemented
10C22×C4×#386C214yesmaximal, complemented
11C22×#13813C214yesmaximal, complemented
12C22×C4×#379C212yesmaximal, complemented
13C25×C4×D4C211yesmaximal, characteristic
14C22×C22⋊C42C214yesmaximal, complemented
15C23×D4×C22⋊C4C212yesmaximal
16C26×D4C2211yescharacteristic
17C27×C4C2212yes—
18C24×C4×D4—264no—
19C24×C4×D4C4164yescomplemented
20C24×C4×D4C2211yescharacteristic
21C24×C4×D4C2214yes—
22C24×C4×D4C2212yes—
23C24×C4×D4C2212yes—
24C24×C4×D4C2211yescharacteristic
25C24×C4×D4C22148yes—
26C24×C4×D4C2211yescharacteristic
27C24×C4×D4C2211yescharacteristic
28C25×C4⋊C4C2211yescharacteristic
29C25×C22⋊C4C2214yes—
30C25×C22⋊C4C2212yes—
31C25×C42C2211yescharacteristic
32C25×C42C2214yescomplemented
33C22×D4×C22⋊C4C41128yesdirect product factor
34C22×D4×C22⋊C4C22196yes—
35C23×#390C2214yes—
36C23×#386C2218yes—
37C23×#380C2212yes—
38C23×#379C2214yes—
39C22×C42×D4—264no—
40C22×C42×D4C22196yescomplemented
41C23×C4×C4⋊C4C2214yescomplemented
42C23×C4×C4⋊C4C2212yescomplemented
43C23×C4×C22⋊C4—264no—
44C23×C4×C22⋊C4C2212yes—
45C23×C4×C22⋊C4C2214yes—
46C23×C4×C22⋊C4C2211yescharacteristic
47C23×C4×C22⋊C4C2212yes—
48C23×C4×C22⋊C4C2212yes—
49C23×C4×C22⋊C4C2211yescharacteristic
50C23×C4×C22⋊C4C2218yescomplemented
51C23×C4×C22⋊C4C2214yescomplemented
52C23×C4×C22⋊C4C2214yescomplemented
53C23×C4×C22⋊C4C2214yescomplemented
54C23×C4×C22⋊C4C2214yescomplemented
55C23×C4×C22⋊C4C22196yescomplemented
56C24×#95C2214yescomplemented
57C23×C43C2212yescomplemented
58C4×D4×C22⋊C4C2211024yesdirect product factor
59C2×#13820C22196yescomplemented
60C2×#13813C221192yescomplemented
61C2×D4×#95C22196yescomplemented
62C2×C22⋊C4×C4⋊C4C22196yescomplemented
63C2×C22⋊C42C221192yescomplemented
64C2×C4×#380C22148yescomplemented
65C2×C4×#379C22196yescomplemented
66C2×C4×#390C22196yescomplemented
67C2×C4×#386C221192yescomplemented
68C22×#1437C2218yescomplemented
69C22×#1437C2218yescomplemented
70C22×#1436C2218yescomplemented
71C22×C4⋊#95C2212yescomplemented
72C22×C4⋊#95C2214yescomplemented
73C22×#1434C2212yescomplemented
74C22×C22⋊#95C2212yes—
75C22×C22⋊#95C2214yes—
76C22×C22⋊#95C2214yescomplemented
77C22×C22⋊#95C2214yescomplemented
78C22×C22⋊#95C2218yescomplemented
79C2×C42×C22⋊C4C22148yescomplemented
80C22×C4×#95C2212yescomplemented
81C22×C4×#95C2212yescomplemented
82C22×C4×#95C2212yescomplemented
83C22×C4×#95C2212yescomplemented
84C28C2312yes—
85C25×D4—232no—
86C25×D4—232no—
87C25×D4C2×C4132yes—
88C25×D4C2×C4164yes—
89C25×D4C2312yes—
90C25×D4C2311yescharacteristic
91C25×D4C23124yes—
92C25×D4C2311yescharacteristic
93C26×C4—264no—
94C26×C4—232no—
95C26×C4—232no—
96C26×C4—432no—
97C26×C4C2×C4164yescomplemented
98C26×C4C2312yes—
99C26×C4C2311yescharacteristic
100C26×C4C2312yes—
101C26×C4C2312yes—
102C26×C4C2312yes—
103C26×C4C2318yes—
104C26×C4C23148yes—
105C26×C4C2311yescharacteristic
106C26×C4C2312yes—
107C26×C4C2311yescharacteristic
108C23×C4×D4—22048no—
109C23×C4×D4—21536no—
110C23×C4×D4—232no—
111C23×C4×D4—264no—
112C23×C4×D4—232no—
113C23×C4×D4—232no—
114C23×C4×D4—264no—
115C23×C4×D4—264no—
116C23×C4×D4—264no—
117C23×C4×D4C2×C4132yes—
118C23×C4×D4C2×C4132yes—
119C23×C4×D4C2×C4132yescomplemented
120C23×C4×D4C2×C4164yescomplemented
121C23×C4×D4C2×C4164yescomplemented
122C23×C4×D4C2×C4132yescomplemented
123C23×C4×D4C2×C411536yescomplemented
124C23×C4×D4C2×C41128yescomplemented
125C23×C4×D4D4164yes—
126C23×C4×D4C23124yes—
127C23×C4×D4C23148yes—
128C23×C4×D4C23124yes—
129C23×C4×D4C23148yes—
130C23×C4×D4C23124yes—
131C23×C4×D4C231256yes—
132C23×C4×D4C23196yes—
133C23×C4×D4C23124yes—
134C24×C4⋊C4—232no—
135C24×C4⋊C4C2×C4132yescomplemented
136C24×C4⋊C4C2311yescharacteristic
137C24×C4⋊C4C2312yes—
138C24×C4⋊C4C2314yes—
139C24×C4⋊C4C23124yes—
140C24×C4⋊C4C2311yescharacteristic
141C24×C22⋊C4—264no—
142C24×C22⋊C4—264no—
143C24×C22⋊C4—264no—
144C24×C22⋊C4C2×C4164yescomplemented
145C24×C22⋊C4C2×C41128yescomplemented
146C24×C22⋊C4C2312yes—
147C24×C22⋊C4C2314yes—
148C24×C22⋊C4C2312yes—
149C24×C22⋊C4C2312yes—
150C24×C22⋊C4C2312yes—
151C24×C22⋊C4C2318yes—
152C24×C22⋊C4C23148yes—
153C24×C22⋊C4C2318yes—
154C24×C22⋊C4C23196yes—
155C24×C22⋊C4C2318yes—
156C24×C22⋊C4C2312yes—
157C24×C22⋊C4C2312yes—
158C24×C42—232no—
159C24×C42—264no—
160C24×C42—264no—
161C24×C42—432no—
162C24×C42C2×C4132yescomplemented
163C24×C42C2318yes—
164C24×C42C2314yes—
165C24×C42C2311yescharacteristic
166C24×C42C2311yescharacteristic
167C24×C42C23124yes—
168C24×C42C2314yes—
169C24×C42C2314yes—
170C24×C42C2312yes—
171C24×C42C2311yescharacteristic
172C24×C42C2312yes—
173C24×C42C2311yescharacteristic
174C24×C42C23196yescomplemented
175C2×D4×C22⋊C4C2×C413072yesdirect product factor
176C2×D4×C22⋊C4C231512yes—
177C22×#390C2×C41128yescomplemented
178C22×#390C23196yes—
179C22×#386C2×C41256yescomplemented
180C22×#386C231192yes—
181C22×#380C2×C4164yescomplemented
182C22×#380C23148yes—
183C22×#379C2×C41128yescomplemented
184C22×#379C23196yes—
185C2×C42×D4—21536no—
186C2×C42×D4C231512yescomplemented
187C22×C4×C4⋊C4—264no—
188C22×C4×C4⋊C4—232no—
189C22×C4×C4⋊C4C23148yescomplemented
190C22×C4×C4⋊C4C23196yescomplemented
191C22×C4×C22⋊C4—21536no—
192C22×C4×C22⋊C4—264no—
193C22×C4×C22⋊C4—264no—
194C22×C4×C22⋊C4—2128no—
195C22×C4×C22⋊C4—232no—
196C22×C4×C22⋊C4—264no—
197C22×C4×C22⋊C4—232no—
198C22×C4×C22⋊C4—264no—
199C22×C4×C22⋊C4—216no—
200C22×C4×C22⋊C4—432no—
201C22×C4×C22⋊C4C2×C4164yescomplemented
202C22×C4×C22⋊C4D4132yesdirect product factor
203C22×C4×C22⋊C4C23124yes—
204C22×C4×C22⋊C4C23148yes—
205C22×C4×C22⋊C4C23148yes—
206C22×C4×C22⋊C4C23196yes—
207C22×C4×C22⋊C4C23148yes—
208C22×C4×C22⋊C4C23124yes—
209C22×C4×C22⋊C4C23196yescomplemented
210C22×C4×C22⋊C4C23196yescomplemented
211C22×C4×C22⋊C4C231192yescomplemented
212C22×C4×C22⋊C4C23196yescomplemented
213C22×C4×C22⋊C4C23196yescomplemented
214C22×C4×C22⋊C4C231512yescomplemented
215C23×#95—264no—
216C23×#95C2312yes—
217C23×#95C2314yes—
218C23×#95C2318yes—
219C23×#95C2314yes—
220C23×#95C2314yes—
221C23×#95C2318yes—
222C23×#95C2314yes—
223C23×#95C2318yes—
224C23×#95C2314yes—
225C23×#95C2314yes—
226C23×#95C2312yes—
227C23×#95C23196yescomplemented
228C22×C43—232no—
229C22×C43C23148yescomplemented
230#13820C231512yescomplemented
231#13813C2311024yescomplemented
232D4×#95C231512yescomplemented
233C22⋊C4×C4⋊C4C231512yescomplemented
234C22⋊C42C2311024yescomplemented
235C4×#380C231256yescomplemented
236C4×#379C231512yescomplemented
237C4×#390C231512yescomplemented
238C4×#386C2311024yescomplemented
239C2×#1437C231192yescomplemented
240C2×#1437C231192yescomplemented
241C2×#1436C231192yescomplemented
242C2×C4⋊#95C23196yescomplemented
243C2×C4⋊#95C23148yescomplemented
244C2×#1434C23148yescomplemented
245C2×C22⋊#95C23196yes—
246C2×C22⋊#95C23148yes—
247C2×C22⋊#95C231192yescomplemented
248C2×C22⋊#95C23196yescomplemented
249C2×C22⋊#95C23196yescomplemented
250C42×C22⋊C4C231256yescomplemented
251C2×C4×#95C23148yescomplemented
252C2×C4×#95C23148yescomplemented
253C2×C4×#95C23148yescomplemented
254C2×C4×#95C23148yescomplemented
255C27—232no—
256C27—216no—
257C27—216no—
258C27—232no—
259C27—232no—
260C27—416no—
261C27—416no—
262C27C22×C4132yes—
263C27C22×C4164yes—
264C27C2412yes—
265C27C24124yes—
266C27C2412yes—
267C27C2411yescharacteristic
268C24×D4—232no—
269C24×D4—232no—
270C24×D4—2512no—
271C24×D4—2512no—
272C24×D4—22048no—
273C24×D4—2384no—
274C24×D4—2384no—
275C24×D4—216no—
276C24×D4—216no—
277C24×D4C4211024yescomplemented
278C24×D4C22×C41768yes—
279C24×D4C22×C4132yes—
280C24×D4C22×C41384yes—
281C24×D4C22×C4116yes—
282C24×D4C22×C4164yes—
283C24×D4C22×C4132yes—
284C24×D4C22×C4116yes—
285C24×D4C22×C4132yes—
286C24×D4C2×D4132yes—
287C24×D4#41132yes—
288C24×D4C24164yes—
289C24×D4C24124yes—
290C24×D4C24112yes—
291C24×D4C24112yes—
292C25×C4—216no—
293C25×C4—216no—
294C25×C4—216no—
295C25×C4—216no—
296C25×C4—216no—
297C25×C4—216no—
298C25×C4—232no—
299C25×C4—232no—
300C25×C4—216no—
301C25×C4—264no—
302C25×C4—216no—
303C25×C4—264no—
304C25×C4—216no—
305C25×C4—21024no—
306C25×C4—21024no—
307C25×C4—232no—
308C25×C4—232no—
309C25×C4—2768no—
310C25×C4—232no—
311C25×C4—216no—
312C25×C4—216no—
313C25×C4—2384no—
314C25×C4—216no—
315C25×C4—216no—
316C25×C4—264no—
317C25×C4—216no—
318C25×C4—2384no—
319C25×C4—216no—
320C25×C4—216no—
321C25×C4—264no—
322C25×C4—232no—
323C25×C4—4512no—
324C25×C4—4384no—
325C25×C4—416no—
326C25×C4—416no—
327C25×C4—416no—
328C25×C4—432no—
329C25×C4—48no—
330C25×C4—432no—
331C25×C4—41024no—
332C25×C4—41024no—
333C25×C4C22×C4132yes—
334C25×C4C22×C4132yes—
335C25×C4C22×C4132yes—
336C25×C4C22×C4132yes—
337C25×C4C22×C4116yes—
338C25×C4C22×C4116yes—
339C25×C4C22×C4132yes—
340C25×C4C22×C4132yes—
341C25×C4C22×C4116yes—
342C25×C4C22×C41768yescomplemented
343C25×C4C22×C41128yescomplemented
344C25×C4C2×D4164yes—
345C25×C4C2×D4116yes—
346C25×C4#41116yes—
347C25×C4C2412yes—
348C25×C4C24124yes—
349C25×C4C2418yes—
350C25×C4C2411yescharacteristic
351C25×C4C2414yes—
352C25×C4C24124yes—
353C25×C4C24124yes—
354C25×C4C24124yes—
355C25×C4C24112yes—
356C25×C4C241128yes—
357C25×C4C24196yes—
358C25×C4C2411yescharacteristic
359C25×C4C24112yes—
360C25×C4C2412yes—
361C25×C4C24124yes—
362C25×C4C2411yescharacteristic
363C25×C4C2411yescharacteristic
364C25×C4C24112yes—
365C25×C4C2414yes—
366C25×C4C2411yescharacteristic
367C25×C4C2411yescharacteristic
368C22×C4×D4—2512no—
369C22×C4×D4—2384no—
370C22×C4×D4—2512no—
371C22×C4×D4—22048no—
372C22×C4×D4—2384no—
373C22×C4×D4—2768no—
374C22×C4×D4—2768no—
375C22×C4×D4—21024no—
376C22×C4×D4—2768no—
377C22×C4×D4—224576no—
378C22×C4×D4—24096no—
379C22×C4×D4—2512no—
380C22×C4×D4—2384no—
381C22×C4×D4—21024no—
382C22×C4×D4—2768no—
383C22×C4×D4C22⋊C411024yesdirect product factor
384C22×C4×D4C22×C41384yes—
385C22×C4×D4C22×C41384yes—
386C22×C4×D4C22×C41768yescomplemented
387C22×C4×D4C22×C41384yescomplemented
388C22×C4×D4C22×C41384yescomplemented
389C22×C4×D4C22×C41768yescomplemented
390C22×C4×D4C22×C414096yescomplemented
391C22×C4×D4C22×C411536yescomplemented
392C22×C4×D4C2×D41768yes—
393C22×C4×D4C24164yes—
394C22×C4×D4C241256yes—
395C22×C4×D4C241128yes—
396C22×C4×D4C24164yes—
397C22×C4×D4C241128yes—
398C22×C4×D4C24164yes—
399C22×C4×D4C24164yes—
400C23×C4⋊C4—232no—
401C23×C4⋊C4—216no—
402C23×C4⋊C4—232no—
403C23×C4⋊C4—232no—
404C23×C4⋊C4—2512no—
405C23×C4⋊C4—2384no—
406C23×C4⋊C4C22×C4116yes—
407C23×C4⋊C4C22×C4132yes—
408C23×C4⋊C4C22×C4116yes—
409C23×C4⋊C4C22×C41384yescomplemented
410C23×C4⋊C4C22×C4164yescomplemented
411C23×C4⋊C4C2×D4132yes—
412C23×C4⋊C4C24112yes—
413C23×C4⋊C4C24124yes—
414C23×C4⋊C4C24164yes—
415C23×C4⋊C4C24148yes—
416C23×C4⋊C4C24112yes—
417C23×C22⋊C4—232no—
418C23×C22⋊C4—232no—
419C23×C22⋊C4—264no—
420C23×C22⋊C4—232no—
421C23×C22⋊C4—264no—
422C23×C22⋊C4—216no—
423C23×C22⋊C4—216no—
424C23×C22⋊C4—232no—
425C23×C22⋊C4—232no—
426C23×C22⋊C4—264no—
427C23×C22⋊C4—264no—
428C23×C22⋊C4—21024no—
429C23×C22⋊C4—22048no—
430C23×C22⋊C4—2768no—
431C23×C22⋊C4—2768no—
432C23×C22⋊C4—2768no—
433C23×C22⋊C4—432no—
434C23×C22⋊C4—432no—
435C23×C22⋊C4C22×C4132yes—
436C23×C22⋊C4C22×C4132yes—
437C23×C22⋊C4C22×C4132yes—
438C23×C22⋊C4C22×C4164yes—
439C23×C22⋊C4C22×C4132yes—
440C23×C22⋊C4C22×C4132yes—
441C23×C22⋊C4C22×C4132yes—
442C23×C22⋊C4C22×C41768yescomplemented
443C23×C22⋊C4C22×C411536yescomplemented
444C23×C22⋊C4C22×C41128yescomplemented
445C23×C22⋊C4C22×C41128yescomplemented
446C23×C22⋊C4C22×C41128yescomplemented
447C23×C22⋊C4C2×D4164yes—
448C23×C22⋊C4C2×D4132yes—
449C23×C22⋊C4#41132yes—
450C23×C22⋊C4C24124yes—
451C23×C22⋊C4C24124yes—
452C23×C22⋊C4C24124yes—
453C23×C22⋊C4C24148yes—
454C23×C22⋊C4C24124yes—
455C23×C22⋊C4C241256yes—
456C23×C22⋊C4C241128yes—
457C23×C22⋊C4C24196yes—
458C23×C22⋊C4C24196yes—
459C23×C22⋊C4C24196yes—
460C23×C22⋊C4C24124yes—
461C23×C22⋊C4C24124yes—
462C23×C42—2512no—
463C23×C42—2384no—
464C23×C42—2768no—
465C23×C42—216no—
466C23×C42—216no—
467C23×C42—216no—
468C23×C42—216no—
469C23×C42—232no—
470C23×C42—264no—
471C23×C42—232no—
472C23×C42—264no—
473C23×C42—232no—
474C23×C42—2768no—
475C23×C42—232no—
476C23×C42—216no—
477C23×C42—232no—
478C23×C42—232no—
479C23×C42—216no—
480C23×C42—216no—
481C23×C42—232no—
482C23×C42—216no—
483C23×C42—432no—
484C23×C42—416no—
485C23×C42—4384no—
486C23×C42—41024no—
487C23×C42C22×C4116yes—
488C23×C42C22×C4116yes—
489C23×C42C22×C4116yes—
490C23×C42C22×C4116yes—
491C23×C42C22×C41384yescomplemented
492C23×C42C22×C4164yescomplemented
493C23×C42C2×D4132yes—
494C23×C42C2×D4132yescomplemented
495C23×C42C24148yes—
496C23×C42C24124yes—
497C23×C42C24196yes—
498C23×C42C24148yes—
499C23×C42C24112yes—
500C23×C42C24112yes—
501C23×C42C24112yes—
502C23×C42C24164yes—
503C23×C42C24148yes—
504C23×C42C24124yes—
505C23×C42C24112yes—
506C23×C42C241256yescomplemented
507D4×C22⋊C4C22×C418192yesdirect product factor
508C2×#390C22×C411536yescomplemented
509C2×#390C241256yes—
510C2×#386C22×C413072yescomplemented
511C2×#386C241512yes—
512C2×#380C22×C41768yescomplemented
513C2×#380C241128yes—
514C2×#379C22×C411536yescomplemented
515C2×#379C241256yes—
516C42×D4—24096no—
517C2×C4×C4⋊C4—2384no—
518C2×C4×C4⋊C4—2768no—
519C2×C4×C4⋊C4C241128yescomplemented
520C2×C4×C4⋊C4C241256yescomplemented
521C2×C4×C22⋊C4—2768no—
522C2×C4×C22⋊C4—24096no—
523C2×C4×C22⋊C4—2768no—
524C2×C4×C22⋊C4—2384no—
525C2×C4×C22⋊C4—2768no—
526C2×C4×C22⋊C4—2192no—
527C2×C4×C22⋊C4—2768no—
528C2×C4×C22⋊C4—21536no—
529C2×C4×C22⋊C4—2384no—
530C2×C4×C22⋊C4—4384no—
531C2×C4×C22⋊C4C22×C41768yescomplemented
532C2×C4×C22⋊C4C2×D41384yesdirect product factor
533C2×C4×C22⋊C4C24164yes—
534C2×C4×C22⋊C4C241128yes—
535C2×C4×C22⋊C4C241128yes—
536C2×C4×C22⋊C4C241256yes—
537C2×C4×C22⋊C4C241128yes—
538C2×C4×C22⋊C4C24164yes—
539C2×C4×C22⋊C4C241256yescomplemented
540C2×C4×C22⋊C4C241256yescomplemented
541C2×C4×C22⋊C4C241256yescomplemented
542C2×C4×C22⋊C4C241512yescomplemented
543C2×C4×C22⋊C4C241256yescomplemented
544C22×#95—2768no—
545C22×#95—264no—
546C22×#95—232no—
547C22×#95—232no—
548C22×#95—264no—
549C22×#95—232no—
550C22×#95—216no—
551C22×#95—416no—
552C22×#95—432no—
553C22×#95C22×C4164yescomplemented
554C22×#95C22×C4164yescomplemented
555C22×#95C2×D4132yescomplemented
556C22×#95C24124yes—
557C22×#95C24148yes—
558C22×#95C24196yes—
559C22×#95C24148yes—
560C22×#95C24148yes—
561C22×#95C24196yes—
562C22×#95C24148yes—
563C22×#95C24196yes—
564C22×#95C24148yes—
565C22×#95C24148yes—
566C22×#95C24124yes—
567C22×#95C241256yescomplemented
568C2×C43—2384no—
569C2×C43C241128yescomplemented
570#1437C241512yescomplemented
571#1437C241512yescomplemented
572#1436C241512yescomplemented
573C4⋊#95C241256yescomplemented
574C4⋊#95C241128yescomplemented
575#1434C241128yescomplemented
576C22⋊#95C241256yes—
577C22⋊#95C241128yes—
578C22⋊#95C241512yescomplemented
579C22⋊#95C241256yescomplemented
580C22⋊#95C241256yescomplemented
581C4×#95C241128yescomplemented
582C4×#95C241128yescomplemented
583C4×#95C241128yescomplemented
584C4×#95C241128yescomplemented
585C26—28no—
586C26—28no—
587C26—28no—
588C26—216no—
589C26—28no—
590C26—216no—
591C26—28no—
592C26—216no—
593C26—28no—
594C26—2256no—
595C26—2256no—
596C26—2256no—
597C26—21024no—
598C26—2512no—
599C26—2512no—
600C26—2256no—
601C26—2192no—
602C26—216no—
603C26—296no—
604C26—28no—
605C26—296no—
606C26—28no—
607C26—2192no—
608C26—216no—
609C26—2192no—
610C26—216no—
611C26—216no—
612C26—216no—
613C26—4128no—
614C26—496no—
615C26—4128no—
616C26—4512no—
617C26—496no—
618C26—4256no—
619C26—4256no—
620C26—4256no—
621C26—4512no—
622C26—4256no—
623C26—4512no—
624C26C2×C421512yescomplemented
625C26C23×C4116yes—
626C26C23×C4132yes—
627C26C23×C41192yes—
628C26C23×C41384yes—
629C26C23×C4116yes—
630C26C23×C4132yes—
631C26C23×C418yes—
632C26C23×C4116yes—
633C26C22×D4132yes—
634C26C22×D418yes—
635C26C2×#41132yes—
636C26C2×#4118yes—
637C26C2×#41116yes—
638C26C25112yes—
639C26C25132yes—
640C26C25112yes—
641C26C2516yes—
642C26C2511yescharacteristic
643C23×D4—2256no—
644C23×D4—2256no—
645C23×D4—21024no—
646C23×D4—2192no—
647C23×D4—2192no—
648C23×D4—23072no—
649C23×D4—23072no—
650C23×D4—212288no—
651C23×D4—2512no—
652C23×D4—2512no—
653C23×D4—216384no—
654C23×D4—2128no—
655C23×D4—2128no—
656C23×D4—2512no—
657C23×D4—296no—
658C23×D4—296no—
659C23×D4C2×C421256yes—
660C23×D4C2×C421512yescomplemented
661C23×D4C2×C421256yescomplemented
662C23×D4C2×C4216144yescomplemented
663C23×D4C2×C22⋊C41256yes—
664C23×D4#1171256yes—
665C23×D4C4×D411024yes—
666C23×D4C23×C411024yes—
667C23×D4C23×C41192yes—
668C23×D4C23×C41512yes—
669C23×D4C23×C4196yes—
670C23×D4C23×C41384yes—
671C23×D4C23×C41192yes—
672C23×D4C23×C4196yes—
673C23×D4C23×C41192yes—
674C23×D4C22×D41192yes—
675C23×D4C2×#411192yes—
676C23×D4C25132yes—
677C23×D4C25116yes—
678C23×D4C25116yes—
679C24×C4—28no—
680C24×C4—28no—
681C24×C4—216no—
682C24×C4—28no—
683C24×C4—28no—
684C24×C4—216no—
685C24×C4—28no—
686C24×C4—28no—
687C24×C4—28no—
688C24×C4—216no—
689C24×C4—216no—
690C24×C4—216no—
691C24×C4—28no—
692C24×C4—2128no—
693C24×C4—2128no—
694C24×C4—2128no—
695C24×C4—2256no—
696C24×C4—2512no—
697C24×C4—2128no—
698C24×C4—2256no—
699C24×C4—2256no—
700C24×C4—2512no—
701C24×C4—2256no—
702C24×C4—2512no—
703C24×C4—296no—
704C24×C4—296no—
705C24×C4—296no—
706C24×C4—296no—
707C24×C4—296no—
708C24×C4—296no—
709C24×C4—2192no—
710C24×C4—2256no—
711C24×C4—2256no—
712C24×C4—21024no—
713C24×C4—2128no—
714C24×C4—216no—
715C24×C4—2192no—
716C24×C4—28no—
717C24×C4—296no—
718C24×C4—28no—
719C24×C4—232no—
720C24×C4—232no—
721C24×C4—2384no—
722C24×C4—216no—
723C24×C4—296no—
724C24×C4—28no—
725C24×C4—232no—
726C24×C4—232no—
727C24×C4—2384no—
728C24×C4—28no—
729C24×C4—296no—
730C24×C4—216no—
731C24×C4—216no—
732C24×C4—216no—
733C24×C4—216no—
734C24×C4—232no—
735C24×C4—216no—
736C24×C4—232no—
737C24×C4—28no—
738C24×C4—216no—
739C24×C4—2256no—
740C24×C4—2256no—
741C24×C4—2256no—
742C24×C4—2128no—
743C24×C4—26144no—
744C24×C4—2256no—
745C24×C4—2256no—
746C24×C4—2256no—
747C24×C4—26144no—
748C24×C4—21024no—
749C24×C4—2256no—
750C24×C4—2192no—
751C24×C4—2192no—
752C24×C4—21024no—
753C24×C4—2192no—
754C24×C4—296no—
755C24×C4—296no—
756C24×C4—2512no—
757C24×C4—296no—
758C24×C4—296no—
759C24×C4—2384no—
760C24×C4—296no—
761C24×C4—2512no—
762C24×C4—296no—
763C24×C4—296no—
764C24×C4—2384no—
765C24×C4—2192no—
766C24×C4—43072no—
767C24×C4—4512no—
768C24×C4—4128no—
769C24×C4—4128no—
770C24×C4—4128no—
771C24×C4—496no—
772C24×C4—496no—
773C24×C4—496no—
774C24×C4—464no—
775C24×C4—4512no—
776C24×C4—4192no—
777C24×C4—448no—
778C24×C4—4192no—
779C24×C4—4256no—
780C24×C4—4256no—
781C24×C4—416384no—
782C24×C4—46144no—
783C24×C4—46144no—
784C24×C4—4512no—
785C24×C4—4512no—
786C24×C4—4256no—
787C24×C4—4512no—
788C24×C4—4256no—
789C24×C4—4256no—
790C24×C4—4256no—
791C24×C4—4256no—
792C24×C4—4512no—
793C24×C4—4256no—
794C24×C4—4256no—
795C24×C4C2×C421256yescomplemented
796C24×C4C2×C22⋊C41512yescomplemented
797C24×C4C4×D41256yescomplemented
798C24×C4C23×C4116yes—
799C24×C4C23×C41192yes—
800C24×C4C23×C418yes—
801C24×C4C23×C4164yes—
802C24×C4C23×C4132yes—
803C24×C4C23×C41192yes—
804C24×C4C23×C41192yes—
805C24×C4C23×C41192yes—
806C24×C4C23×C4196yes—
807C24×C4C23×C4116yes—
808C24×C4C23×C418yes—
809C24×C4C23×C41192yes—
810C24×C4C23×C418yes—
811C24×C4C23×C4196yes—
812C24×C4C23×C4132yes—
813C24×C4C23×C418yes—
814C24×C4C23×C4116yes—
815C24×C4C23×C4196yes—
816C24×C4C23×C41192yes—
817C24×C4C23×C418yes—
818C24×C4C23×C418yes—
819C24×C4C23×C4116yes—
820C24×C4C23×C411024yescomplemented
821C24×C4C23×C41768yescomplemented
822C24×C4C22×D4132yes—
823C24×C4C22×D4116yes—
824C24×C4C22×D41384yes—
825C24×C4C22×D418yes—
826C24×C4C22×D4196yes—
827C24×C4C22×D4132yes—
828C24×C4C22×D4116yes—
829C24×C4C22×D4116yes—
830C24×C4C22×D418yes—
831C24×C4C2×#4118yes—
832C24×C4C2×#41196yes—
833C24×C4C2×#41132yes—
834C24×C4C2×#41116yes—
835C24×C4C2×#4118yes—
836C24×C4H(5,𝔽2)116yes—
837C24×C4C25112yes—
838C24×C4C25132yes—
839C24×C4C25148yes—
840C24×C4C2516yes—
841C24×C4C25124yes—
842C24×C4C25132yes—
843C24×C4C25132yes—
844C24×C4C25132yes—
845C24×C4C25116yes—
846C24×C4C251128yes—
847C24×C4C2516yes—
848C24×C4C25116yes—
849C24×C4C25112yes—
850C24×C4C25132yes—
851C24×C4C2516yes—
852C24×C4C2516yes—
853C24×C4C25116yes—
854C24×C4C25124yes—
855C24×C4C2516yes—
856C24×C4C2516yes—
857C2×C4×D4—23072no—
858C2×C4×D4—212288no—
859C2×C4×D4—2512no—
860C2×C4×D4—21024no—
861C2×C4×D4—21024no—
862C2×C4×D4—26144no—
863C2×C4×D4—21024no—
864C2×C4×D4—232768no—
865C2×C4×D4—23072no—
866C2×C4×D4—2512no—
867C2×C4×D4—26144no—
868C2×C4×D4—21024no—
869C2×C4×D4—23072no—
870C2×C4×D4—2512no—
871C2×C4×D4C2×C22⋊C416144yesdirect product factor
872C2×C4×D4C23×C41512yes—
873C2×C4×D4C23×C41512yes—
874C2×C4×D4C23×C41512yescomplemented
875C2×C4×D4C23×C411024yescomplemented
876C2×C4×D4C23×C411024yescomplemented
877C2×C4×D4C23×C41512yescomplemented
878C2×C4×D4C23×C412048yescomplemented
879C2×C4×D4C22×D411024yes—
880C22×C4⋊C4—2256no—
881C22×C4⋊C4—2128no—
882C22×C4⋊C4—2512no—
883C22×C4⋊C4—2192no—
884C22×C4⋊C4—296no—
885C22×C4⋊C4—2192no—
886C22×C4⋊C4—2192no—
887C22×C4⋊C4—23072no—
888C22×C4⋊C4—2512no—
889C22×C4⋊C4C2×C22⋊C41256yescomplemented
890C22×C4⋊C4C23×C4196yes—
891C22×C4⋊C4C23×C41192yes—
892C22×C4⋊C4C23×C4196yes—
893C22×C4⋊C4C23×C41512yescomplemented
894C22×C4⋊C4C23×C41384yescomplemented
895C22×C4⋊C4C22×D41192yes—
896C22×C4⋊C4C25116yes—
897C22×C4⋊C4C25132yes—
898C22×C4⋊C4C25164yes—
899C22×C4⋊C4C25116yes—
900C22×C22⋊C4—2256no—
901C22×C22⋊C4—2512no—
902C22×C22⋊C4—21024no—
903C22×C22⋊C4—2256no—
904C22×C22⋊C4—2192no—
905C22×C22⋊C4—2192no—
906C22×C22⋊C4—2384no—
907C22×C22⋊C4—2192no—
908C22×C22⋊C4—2384no—
909C22×C22⋊C4—296no—
910C22×C22⋊C4—296no—
911C22×C22⋊C4—2256no—
912C22×C22⋊C4—2256no—
913C22×C22⋊C4—21024no—
914C22×C22⋊C4—2192no—
915C22×C22⋊C4—2192no—
916C22×C22⋊C4—2384no—
917C22×C22⋊C4—2384no—
918C22×C22⋊C4—26144no—
919C22×C22⋊C4—212288no—
920C22×C22⋊C4—21024no—
921C22×C22⋊C4—21024no—
922C22×C22⋊C4—21024no—
923C22×C22⋊C4—4512no—
924C22×C22⋊C4—4192no—
925C22×C22⋊C4—4192no—
926C22×C22⋊C4C2×C22⋊C41512yescomplemented
927C22×C22⋊C4C4×D41512yesdirect product factor
928C22×C22⋊C4C23×C41192yes—
929C22×C22⋊C4C23×C41192yes—
930C22×C22⋊C4C23×C41192yes—
931C22×C22⋊C4C23×C41384yes—
932C22×C22⋊C4C23×C41192yes—
933C22×C22⋊C4C23×C41192yes—
934C22×C22⋊C4C23×C41192yes—
935C22×C22⋊C4C23×C411024yescomplemented
936C22×C22⋊C4C23×C412048yescomplemented
937C22×C22⋊C4C23×C41768yescomplemented
938C22×C22⋊C4C23×C41768yescomplemented
939C22×C22⋊C4C23×C41768yescomplemented
940C22×C22⋊C4C22×D41384yes—
941C22×C22⋊C4C22×D41192yes—
942C22×C22⋊C4C2×#411192yes—
943C22×C22⋊C4C25132yes—
944C22×C22⋊C4C25132yes—
945C22×C22⋊C4C25132yes—
946C22×C22⋊C4C25164yes—
947C22×C22⋊C4C25132yes—
948C22×C22⋊C4C251128yes—
949C22×C22⋊C4C251128yes—
950C22×C22⋊C4C251128yes—
951C22×C22⋊C4C25132yes—
952C22×C22⋊C4C25132yes—
953C22×C42—2128no—
954C22×C42—2128no—
955C22×C42—2128no—
956C22×C42—2512no—
957C22×C42—2256no—
958C22×C42—296no—
959C22×C42—296no—
960C22×C42—296no—
961C22×C42—296no—
962C22×C42—2192no—
963C22×C42—2192no—
964C22×C42—296no—
965C22×C42—23072no—
966C22×C42—2512no—
967C22×C42—2384no—
968C22×C42—2192no—
969C22×C42—2384no—
970C22×C42—2192no—
971C22×C42—21024no—
972C22×C42—2192no—
973C22×C42—296no—
974C22×C42—2192no—
975C22×C42—296no—
976C22×C42—2192no—
977C22×C42—296no—
978C22×C42—21024no—
979C22×C42—4512no—
980C22×C42—46144no—
981C22×C42—4192no—
982C22×C42—496no—
983C22×C42—4256no—
984C22×C42—4512no—
985C22×C42—4256no—
986C22×C42—4128no—
987C22×C42C2×C22⋊C41256yescomplemented
988C22×C42C23×C4196yes—
989C22×C42C23×C4196yes—
990C22×C42C23×C4196yes—
991C22×C42C23×C4196yes—
992C22×C42C23×C41512yescomplemented
993C22×C42C23×C41384yescomplemented
994C22×C42C22×D41192yes—
995C22×C42C22×D41192yescomplemented
996C22×C42C25164yes—
997C22×C42C25132yes—
998C22×C42C251128yes—
999C22×C42C25164yes—
1000C22×C42C25116yes—
1001C22×C42C25116yes—
1002C22×C42C25116yes—
1003C22×C42C25164yes—
1004C22×C42C25132yes—
1005C22×C42C25116yes—
1006#390C23×C412048yescomplemented
1007#386C23×C414096yescomplemented
1008#380C23×C411024yescomplemented
1009#379C23×C412048yescomplemented
1010C4×C4⋊C4—21024no—
1011C4×C4⋊C4—2512no—
1012C4×C22⋊C4—2512no—
1013C4×C22⋊C4—21024no—
1014C4×C22⋊C4—2256no—
1015C4×C22⋊C4—21024no—
1016C4×C22⋊C4—22048no—
1017C4×C22⋊C4—2512no—
1018C4×C22⋊C4—21024no—
1019C4×C22⋊C4—21024no—
1020C4×C22⋊C4—4512no—
1021C4×C22⋊C4C23×C411024yescomplemented
1022C4×C22⋊C4C22×D41512yesdirect product factor
1023C2×#95—2192no—
1024C2×#95—2384no—
1025C2×#95—2384no—
1026C2×#95—2192no—
1027C2×#95—296no—
1028C2×#95—2192no—
1029C2×#95—21024no—
1030C2×#95—496no—
1031C2×#95—4192no—
1032C2×#95C23×C41384yescomplemented
1033C2×#95C23×C41384yescomplemented
1034C2×#95C22×D41192yescomplemented
1035C2×#95C25132yes—
1036C2×#95C25164yes—
1037C2×#95C251128yes—
1038C2×#95C25164yes—
1039C2×#95C25164yes—
1040C2×#95C251128yes—
1041C2×#95C25164yes—
1042C2×#95C251128yes—
1043C2×#95C25164yes—
1044C2×#95C25164yes—
1045C2×#95C25132yes—
1046C43—2512no—
1047C25—224no—
1048C25—224no—
1049C25—224no—
1050C25—248no—
1051C25—224no—
1052C25—248no—
1053C25—224no—
1054C25—248no—
1055C25—224no—
1056C25—232no—
1057C25—232no—
1058C25—264no—
1059C25—2128no—
1060C25—2128no—
1061C25—264no—
1062C25—2128no—
1063C25—232no—
1064C25—264no—
1065C25—232no—
1066C25—264no—
1067C25—2256no—
1068C25—2128no—
1069C25—2128no—
1070C25—264no—
1071C25—264no—
1072C25—2128no—
1073C25—2128no—
1074C25—2128no—
1075C25—2256no—
1076C25—264no—
1077C25—264no—
1078C25—2128no—
1079C25—2256no—
1080C25—2128no—
1081C25—264no—
1082C25—224no—
1083C25—2128no—
1084C25—248no—
1085C25—2128no—
1086C25—248no—
1087C25—264no—
1088C25—224no—
1089C25—2128no—
1090C25—248no—
1091C25—248no—
1092C25—248no—
1093C25—2768no—
1094C25—264no—
1095C25—2768no—
1096C25—264no—
1097C25—21536no—
1098C25—2128no—
1099C25—2768no—
1100C25—264no—
1101C25—23072no—
1102C25—2256no—
1103C25—21536no—
1104C25—2768no—
1105C25—264no—
1106C25—2128no—
1107C25—264no—
1108C25—264no—
1109C25—2256no—
1110C25—24096no—
1111C25—24096no—
1112C25—4384no—
1113C25—464no—
1114C25—42048no—
1115C25—4384no—
1116C25—41536no—
1117C25—464no—
1118C25—42048no—
1119C25—4768no—
1120C25—4768no—
1121C25—42048no—
1122C25—42048no—
1123C25—42048no—
1124C25—48192no—
1125C25—48192no—
1126C25—4768no—
1127C25—41536no—
1128C25—4768no—
1129C25—41536no—
1130C25—464no—
1131C25—464no—
1132C25—4128no—
1133C25—464no—
1134C25—464no—
1135C25—4128no—
1136C25C22×C421128yes—
1137C25C22×C421128yes—
1138C25C22×C42164yes—
1139C25C22×C4211536yescomplemented
1140C25C22×C22⋊C41128yes—
1141C25C2×#1171128yes—
1142C25C2×C4×D41512yes—
1143C25C2×C4×D41128yes—
1144C25C2×C4×D4164yes—
1145C25C4×#411128yes—
1146C25C4×#41164yes—
1147C25C24×C4148yes—
1148C25C24×C4196yes—
1149C25C24×C41128yes—
1150C25C24×C41256yes—
1151C25C24×C4148yes—
1152C25C24×C4196yes—
1153C25C24×C4148yes—
1154C25C24×C4124yes—
1155C25C24×C414yes—
1156C25C24×C418yes—
1157C25C23×D4196yes—
1158C25C23×D4124yes—
1159C25C23×D418yes—
1160C25C23×D414yes—
1161C25C22×#41196yes—
1162C25C22×#41148yes—
1163C25C22×#41124yes—
1164C25C22×#4118yes—
1165C25C22×#4114yes—
1166C25C22×#4118yes—
1167C25C2×H(5,𝔽2)18yes—
1168C25#58518yes—
1169C25C2618yes—
1170C25C2618yes—
1171C25C2614yes—
1172C25C2613yes—
1173C22×D4—2128no—
1174C22×D4—2128no—
1175C22×D4—2768no—
1176C22×D4—2768no—
1177C22×D4—23072no—
1178C22×D4—24096no—
1179C22×D4—22048no—
1180C22×D4—22048no—
1181C22×D4—28192no—
1182C22×D4—249152no—
1183C22×D4—264no—
1184C22×D4—264no—
1185C22×D4—2384no—
1186C22×D4—2384no—
1187C22×D4—21536no—
1188C22×D4—22048no—
1189C22×D4C4×C22⋊C414096yesdirect product factor
1190C22×D4C22×C421768yes—
1191C22×D4C22×C4211536yescomplemented
1192C22×D4C22×C421768yescomplemented
1193C22×D4C22×C4214096yescomplemented
1194C22×D4C22×C22⋊C41768yes—
1195C22×D4C2×#1171768yes—
1196C22×D4C2×C4×D413072yes—
1197C22×D4C24×C41128yes—
1198C22×D4C24×C4164yes—
1199C22×D4C24×C41256yes—
1200C22×D4C24×C41128yes—
1201C22×D4C24×C4164yes—
1202C22×D4C24×C41128yes—
1203C22×D4C23×D41128yes—
1204C22×D4C22×#411128yes—
1205C23×C4—224no—
1206C23×C4—224no—
1207C23×C4—224no—
1208C23×C4—248no—
1209C23×C4—224no—
1210C23×C4—248no—
1211C23×C4—224no—
1212C23×C4—224no—
1213C23×C4—224no—
1214C23×C4—248no—
1215C23×C4—248no—
1216C23×C4—248no—
1217C23×C4—224no—
1218C23×C4—232no—
1219C23×C4—232no—
1220C23×C4—232no—
1221C23×C4—264no—
1222C23×C4—2128no—
1223C23×C4—2128no—
1224C23×C4—232no—
1225C23×C4—232no—
1226C23×C4—264no—
1227C23×C4—232no—
1228C23×C4—2128no—
1229C23×C4—264no—
1230C23×C4—2128no—
1231C23×C4—2128no—
1232C23×C4—264no—
1233C23×C4—2128no—
1234C23×C4—2128no—
1235C23×C4—2128no—
1236C23×C4—2128no—
1237C23×C4—2128no—
1238C23×C4—264no—
1239C23×C4—264no—
1240C23×C4—264no—
1241C23×C4—264no—
1242C23×C4—264no—
1243C23×C4—264no—
1244C23×C4—2128no—
1245C23×C4—22048no—
1246C23×C4—24096no—
1247C23×C4—2384no—
1248C23×C4—2384no—
1249C23×C4—2384no—
1250C23×C4—2768no—
1251C23×C4—21536no—
1252C23×C4—2384no—
1253C23×C4—2768no—
1254C23×C4—2768no—
1255C23×C4—21536no—
1256C23×C4—2768no—
1257C23×C4—21536no—
1258C23×C4—22048no—
1259C23×C4—224no—
1260C23×C4—248no—
1261C23×C4—296no—
1262C23×C4—248no—
1263C23×C4—296no—
1264C23×C4—2128no—
1265C23×C4—2256no—
1266C23×C4—224no—
1267C23×C4—264no—
1268C23×C4—296no—
1269C23×C4—248no—
1270C23×C4—296no—
1271C23×C4—248no—
1272C23×C4—248no—
1273C23×C4—2256no—
1274C23×C4—264no—
1275C23×C4—224no—
1276C23×C4—224no—
1277C23×C4—264no—
1278C23×C4—248no—
1279C23×C4—296no—
1280C23×C4—248no—
1281C23×C4—248no—
1282C23×C4—296no—
1283C23×C4—224no—
1284C23×C4—232no—
1285C23×C4—264no—
1286C23×C4—2768no—
1287C23×C4—2256no—
1288C23×C4—2128no—
1289C23×C4—2256no—
1290C23×C4—23072no—
1291C23×C4—2768no—
1292C23×C4—264no—
1293C23×C4—2128no—
1294C23×C4—2384no—
1295C23×C4—232no—
1296C23×C4—264no—
1297C23×C4—232no—
1298C23×C4—2128no—
1299C23×C4—2256no—
1300C23×C4—264no—
1301C23×C4—2128no—
1302C23×C4—2256no—
1303C23×C4—2128no—
1304C23×C4—2128no—
1305C23×C4—264no—
1306C23×C4—264no—
1307C23×C4—264no—
1308C23×C4—2256no—
1309C23×C4—264no—
1310C23×C4—264no—
1311C23×C4—264no—
1312C23×C4—2128no—
1313C23×C4—2384no—
1314C23×C4—2768no—
1315C23×C4—2768no—
1316C23×C4—2768no—
1317C23×C4—24096no—
1318C23×C4—2768no—
1319C23×C4—2768no—
1320C23×C4—2768no—
1321C23×C4—23072no—
1322C23×C4—24096no—
1323C23×C4—2768no—
1324C23×C4—42048no—
1325C23×C4—4384no—
1326C23×C4—4384no—
1327C23×C4—4384no—
1328C23×C4—464no—
1329C23×C4—464no—
1330C23×C4—464no—
1331C23×C4—4192no—
1332C23×C4—41536no—
1333C23×C4—432no—
1334C23×C4—4128no—
1335C23×C4—4128no—
1336C23×C4—42048no—
1337C23×C4—4768no—
1338C23×C4—4768no—
1339C23×C4—449152no—
1340C23×C4—44096no—
1341C23×C4—44096no—
1342C23×C4—41024no—
1343C23×C4—48192no—
1344C23×C4—41536no—
1345C23×C4—4768no—
1346C23×C4—41536no—
1347C23×C4—41536no—
1348C23×C4—42048no—
1349C23×C4—42048no—
1350C23×C4—4768no—
1351C23×C4—4768no—
1352C23×C4—4768no—
1353C23×C4—4768no—
1354C23×C4—41536no—
1355C23×C4—464no—
1356C23×C4—4128no—
1357C23×C4—464no—
1358C23×C4—464no—
1359C23×C4—464no—
1360C23×C4—4128no—
1361C23×C4—4128no—
1362C23×C4—464no—
1363C23×C4—464no—
1364C23×C4—464no—
1365C23×C4—4128no—
1366C23×C4—42048no—
1367C23×C4—4768no—
1368C23×C4—4768no—
1369C23×C4C22×C42164yes—
1370C23×C4C22×C42164yes—
1371C23×C4C22×C421768yescomplemented
1372C23×C4C22×C22⋊C4164yes—
1373C23×C4C22×C22⋊C41128yes—
1374C23×C4C22×C22⋊C4164yes—
1375C23×C4C22×C22⋊C4164yes—
1376C23×C4C22×C22⋊C411536yescomplemented
1377C23×C4C2×#117164yes—
1378C23×C4C2×C4×D4164yes—
1379C23×C4C2×C4×D4164yes—
1380C23×C4C2×C4×D41256yes—
1381C23×C4C2×C4×D41768yescomplemented
1382C23×C4C2×C4×D41256yescomplemented
1383C23×C4#518164yes—
1384C23×C4D421128yes—
1385C23×C4#5461128yes—
1386C23×C4C24×C4124yes—
1387C23×C4C24×C4148yes—
1388C23×C4C24×C4196yes—
1389C23×C4C24×C41192yes—
1390C23×C4C24×C41128yes—
1391C23×C4C24×C4164yes—
1392C23×C4C24×C41128yes—
1393C23×C4C24×C41128yes—
1394C23×C4C24×C41128yes—
1395C23×C4C24×C4124yes—
1396C23×C4C24×C4148yes—
1397C23×C4C24×C4164yes—
1398C23×C4C24×C41128yes—
1399C23×C4C24×C4124yes—
1400C23×C4C24×C4148yes—
1401C23×C4C24×C41128yes—
1402C23×C4C24×C4124yes—
1403C23×C4C24×C4196yes—
1404C23×C4C24×C4164yes—
1405C23×C4C24×C4124yes—
1406C23×C4C24×C4148yes—
1407C23×C4C24×C4124yes—
1408C23×C4C24×C41512yescomplemented
1409C23×C4C23×D4148yes—
1410C23×C4C23×D4196yes—
1411C23×C4C23×D41256yes—
1412C23×C4C23×D4124yes—
1413C23×C4C23×D4196yes—
1414C23×C4C23×D4164yes—
1415C23×C4C23×D4148yes—
1416C23×C4C23×D4148yes—
1417C23×C4C23×D4124yes—
1418C23×C4C22×#41124yes—
1419C23×C4C22×#41196yes—
1420C23×C4C22×#41164yes—
1421C23×C4C22×#41148yes—
1422C23×C4C22×#41124yes—
1423C23×C4C2×H(5,𝔽2)148yes—
1424C23×C4C26116yes—
1425C23×C4C26132yes—
1426C23×C4C2614yes—
1427C23×C4C2618yes—
1428C23×C4C2614yes—
1429C23×C4C2614yes—
1430C23×C4C2618yes—
1431C23×C4C26116yes—
1432C23×C4C2614yes—
1433C23×C4C2614yes—
1434C23×C4C2614yes—
1435C4×D4—22048no—
1436C4×D4—28192no—
1437C4×D4—24096no—
1438C4×D4—22048no—
1439C4×D4—24096no—
1440C4×D4—22048no—
1441C4×D4C22×C22⋊C414096yesdirect product factor
1442C2×C4⋊C4—2128no—
1443C2×C4⋊C4—264no—
1444C2×C4⋊C4—2128no—
1445C2×C4⋊C4—2128no—
1446C2×C4⋊C4—2768no—
1447C2×C4⋊C4—2384no—
1448C2×C4⋊C4—21536no—
1449C2×C4⋊C4—22048no—
1450C2×C4⋊C4C22×C22⋊C41768yescomplemented
1451C2×C4⋊C4C24×C4164yes—
1452C2×C4⋊C4C24×C41128yes—
1453C2×C4⋊C4C24×C4164yes—
1454C2×C4⋊C4C24×C41256yescomplemented
1455C2×C4⋊C4C23×D41128yes—
1456C2×C22⋊C4—2128no—
1457C2×C22⋊C4—2128no—
1458C2×C22⋊C4—2256no—
1459C2×C22⋊C4—2128no—
1460C2×C22⋊C4—2256no—
1461C2×C22⋊C4—264no—
1462C2×C22⋊C4—264no—
1463C2×C22⋊C4—2768no—
1464C2×C22⋊C4—21536no—
1465C2×C22⋊C4—23072no—
1466C2×C22⋊C4—2768no—
1467C2×C22⋊C4—2128no—
1468C2×C22⋊C4—2128no—
1469C2×C22⋊C4—2256no—
1470C2×C22⋊C4—2256no—
1471C2×C22⋊C4—2768no—
1472C2×C22⋊C4—2768no—
1473C2×C22⋊C4—23072no—
1474C2×C22⋊C4—24096no—
1475C2×C22⋊C4—28192no—
1476C2×C22⋊C4—41536no—
1477C2×C22⋊C4—4128no—
1478C2×C22⋊C4—4128no—
1479C2×C22⋊C4C22×C22⋊C411536yescomplemented
1480C2×C22⋊C4C2×C4×D411536yesdirect product factor
1481C2×C22⋊C4C24×C41128yes—
1482C2×C22⋊C4C24×C41128yes—
1483C2×C22⋊C4C24×C41128yes—
1484C2×C22⋊C4C24×C41256yes—
1485C2×C22⋊C4C24×C41128yes—
1486C2×C22⋊C4C24×C41128yes—
1487C2×C22⋊C4C24×C41128yes—
1488C2×C22⋊C4C24×C41512yescomplemented
1489C2×C22⋊C4C24×C41512yescomplemented
1490C2×C22⋊C4C24×C41512yescomplemented
1491C2×C22⋊C4C23×D41256yes—
1492C2×C22⋊C4C23×D41128yes—
1493C2×C22⋊C4C22×#411128yes—
1494C2×C42—264no—
1495C2×C42—264no—
1496C2×C42—264no—
1497C2×C42—2128no—
1498C2×C42—264no—
1499C2×C42—2128no—
1500C2×C42—264no—
1501C2×C42—2384no—
1502C2×C42—2384no—
1503C2×C42—2384no—
1504C2×C42—21536no—
1505C2×C42—2768no—
1506C2×C42—22048no—
1507C2×C42—2128no—
1508C2×C42—264no—
1509C2×C42—2256no—
1510C2×C42—2128no—
1511C2×C42—2256no—
1512C2×C42—2128no—
1513C2×C42—2128no—
1514C2×C42—264no—
1515C2×C42—264no—
1516C2×C42—2128no—
1517C2×C42—44096no—
1518C2×C42—4128no—
1519C2×C42—464no—
1520C2×C42—4768no—
1521C2×C42—41536no—
1522C2×C42—4768no—
1523C2×C42—4384no—
1524C2×C42C22×C22⋊C41768yescomplemented
1525C2×C42C24×C4164yes—
1526C2×C42C24×C4164yes—
1527C2×C42C24×C4164yes—
1528C2×C42C24×C4164yes—
1529C2×C42C24×C41256yescomplemented
1530C2×C42C23×D41128yes—
1531C2×C42C23×D41128yescomplemented
1532#95—2256no—
1533#95—2128no—
1534#95—2256no—
1535#95—2128no—
1536#95—2128no—
1537#95—264no—
1538#95—464no—
1539#95—4128no—
1540#95C24×C41256yescomplemented
1541#95C24×C41256yescomplemented
1542#95C23×D41128yescomplemented
1543C24—2256no—
1544C24—2512no—
1545C24—2256no—
1546C24—2512no—
1547C24—2256no—
1548C24—2512no—
1549C24—2256no—
1550C24—2512no—
1551C24—22048no—
1552C24—21024no—
1553C24—21024no—
1554C24—22048no—
1555C24—28no—
1556C24—28no—
1557C24—28no—
1558C24—216no—
1559C24—28no—
1560C24—216no—
1561C24—28no—
1562C24—216no—
1563C24—28no—
1564C24—248no—
1565C24—248no—
1566C24—296no—
1567C24—2192no—
1568C24—2192no—
1569C24—296no—
1570C24—2192no—
1571C24—248no—
1572C24—296no—
1573C24—248no—
1574C24—296no—
1575C24—2384no—
1576C24—2192no—
1577C24—2256no—
1578C24—2512no—
1579C24—2256no—
1580C24—2512no—
1581C24—2192no—
1582C24—296no—
1583C24—296no—
1584C24—2192no—
1585C24—2192no—
1586C24—2192no—
1587C24—2384no—
1588C24—296no—
1589C24—296no—
1590C24—2192no—
1591C24—2384no—
1592C24—2192no—
1593C24—28no—
1594C24—216no—
1595C24—216no—
1596C24—28no—
1597C24—216no—
1598C24—216no—
1599C24—216no—
1600C24—2256no—
1601C24—296no—
1602C24—2256no—
1603C24—296no—
1604C24—2512no—
1605C24—2192no—
1606C24—2256no—
1607C24—296no—
1608C24—21024no—
1609C24—2384no—
1610C24—2512no—
1611C24—2256no—
1612C24—296no—
1613C24—2192no—
1614C24—296no—
1615C24—296no—
1616C24—2384no—
1617C24—2512no—
1618C24—26144no—
1619C24—2512no—
1620C24—26144no—
1621C24—2512no—
1622C24—4128no—
1623C24—4128no—
1624C24—4512no—
1625C24—43072no—
1626C24—4256no—
1627C24—4256no—
1628C24—43072no—
1629C24—4256no—
1630C24—4512no—
1631C24—4256no—
1632C24—4512no—
1633C24—43072no—
1634C24—43072no—
1635C24—43072no—
1636C24—412288no—
1637C24—412288no—
1638C24—432768no—
1639C24—4256no—
1640C24—4256no—
1641C24—4256no—
1642C24—4256no—
1643C24—41024no—
1644C24—41024no—
1645C24—496no—
1646C24—496no—
1647C24—496no—
1648C24—4192no—
1649C24—496no—
1650C24—4192no—
1651C24C2×C4×C22⋊C411024yescomplemented
1652C24C42×D41512yescomplemented
1653C24C23×C421192yes—
1654C24C23×C421192yes—
1655C24C23×C42196yes—
1656C24C23×C42116yes—
1657C24C23×C421512yescomplemented
1658C24C23×C22⋊C41192yes—
1659C24C23×C22⋊C4116yes—
1660C24C22×#1171192yes—
1661C24C22×#117116yes—
1662C24C22×C4×D41768yes—
1663C24C22×C4×D41192yes—
1664C24C22×C4×D4196yes—
1665C24C22×C4×D4116yes—
1666C24C22×C4×D4132yes—
1667C24C22×C4×D4164yes—
1668C24C2×C4×#411192yes—
1669C24C2×C4×#41196yes—
1670C24C2×C4×#41116yes—
1671C24C2×C4×#41132yes—
1672C24C2×#518116yes—
1673C24#3428116yes—
1674C24C4×H(5,𝔽2)164yes—
1675C24C2×D42132yes—
1676C24C2×#546132yes—
1677C24D4×#41164yes—
1678C24D4×#41132yes—
1679C24#3475132yes—
1680C24#3481164yes—
1681C24C25×C4116yes—
1682C24C25×C4132yes—
1683C24C25×C4116yes—
1684C24C25×C4132yes—
1685C24C25×C4116yes—
1686C24C25×C418yes—
1687C24C25×C416yes—
1688C24C25×C4112yes—
1689C24C24×D4132yes—
1690C24C24×D418yes—
1691C24C24×D4112yes—
1692C24C24×D416yes—
1693C24C23×#41132yes—
1694C24C23×#41116yes—
1695C24C23×#4118yes—
1696C24C23×#41112yes—
1697C24C23×#4116yes—
1698C24C23×#41112yes—
1699C24C22×H(5,𝔽2)112yes—
1700C24C2×#585112yes—
1701C24C2711yescharacteristic
1702C2×D4—2256no—
1703C2×D4—2256no—
1704C2×D4—21024no—
1705C2×D4—26144no—
1706C2×D4—216384no—
1707C2×D4—2128no—
1708C2×D4—2128no—
1709C2×D4—2512no—
1710C2×D4—23072no—
1711C2×D4C2×C4×C22⋊C416144yesdirect product factor
1712C2×D4C23×C421256yes—
1713C2×D4C23×C421512yescomplemented
1714C2×D4C23×C421256yescomplemented
1715C2×D4C23×C22⋊C41256yes—
1716C2×D4C22×#1171256yes—
1717C2×D4C22×C4×D411024yes—
1718C22×C4—2256no—
1719C22×C4—2512no—
1720C22×C4—2256no—
1721C22×C4—21024no—
1722C22×C4—216no—
1723C22×C4—28no—
1724C22×C4—28no—
1725C22×C4—28no—
1726C22×C4—28no—
1727C22×C4—216no—
1728C22×C4—28no—
1729C22×C4—28no—
1730C22×C4—216no—
1731C22×C4—216no—
1732C22×C4—28no—
1733C22×C4—28no—
1734C22×C4—216no—
1735C22×C4—248no—
1736C22×C4—248no—
1737C22×C4—248no—
1738C22×C4—2192no—
1739C22×C4—296no—
1740C22×C4—2192no—
1741C22×C4—248no—
1742C22×C4—248no—
1743C22×C4—296no—
1744C22×C4—248no—
1745C22×C4—2192no—
1746C22×C4—2256no—
1747C22×C4—2192no—
1748C22×C4—2192no—
1749C22×C4—296no—
1750C22×C4—296no—
1751C22×C4—2192no—
1752C22×C4—2192no—
1753C22×C4—2192no—
1754C22×C4—2192no—
1755C22×C4—2192no—
1756C22×C4—23072no—
1757C22×C4—26144no—
1758C22×C4—2128no—
1759C22×C4—2128no—
1760C22×C4—2128no—
1761C22×C4—2256no—
1762C22×C4—2512no—
1763C22×C4—2128no—
1764C22×C4—2256no—
1765C22×C4—23072no—
1766C22×C4—2512no—
1767C22×C4—2256no—
1768C22×C4—2256no—
1769C22×C4—2512no—
1770C22×C4—28no—
1771C22×C4—216no—
1772C22×C4—232no—
1773C22×C4—232no—
1774C22×C4—28no—
1775C22×C4—216no—
1776C22×C4—28no—
1777C22×C4—216no—
1778C22×C4—216no—
1779C22×C4—216no—
1780C22×C4—232no—
1781C22×C4—232no—
1782C22×C4—28no—
1783C22×C4—216no—
1784C22×C4—216no—
1785C22×C4—232no—
1786C22×C4—28no—
1787C22×C4—232no—
1788C22×C4—216no—
1789C22×C4—248no—
1790C22×C4—296no—
1791C22×C4—2256no—
1792C22×C4—2192no—
1793C22×C4—2384no—
1794C22×C4—2384no—
1795C22×C4—21024no—
1796C22×C4—2256no—
1797C22×C4—296no—
1798C22×C4—2192no—
1799C22×C4—2128no—
1800C22×C4—248no—
1801C22×C4—296no—
1802C22×C4—248no—
1803C22×C4—2192no—
1804C22×C4—2384no—
1805C22×C4—2128no—
1806C22×C4—2256no—
1807C22×C4—2256no—
1808C22×C4—2256no—
1809C22×C4—2256no—
1810C22×C4—2256no—
1811C22×C4—2256no—
1812C22×C4—21024no—
1813C22×C4—2256no—
1814C22×C4—4128no—
1815C22×C4—4128no—
1816C22×C4—4128no—
1817C22×C4—464no—
1818C22×C4—4512no—
1819C22×C4—4256no—
1820C22×C4—4256no—
1821C22×C4—43072no—
1822C22×C4—416384no—
1823C22×C4—4512no—
1824C22×C4—4512no—
1825C22×C4—4256no—
1826C22×C4—4512no—
1827C22×C4—4512no—
1828C22×C4—41536no—
1829C22×C4—412288no—
1830C22×C4—4256no—
1831C22×C4—4256no—
1832C22×C4—4256no—
1833C22×C4—4256no—
1834C22×C4—43072no—
1835C22×C4—43072no—
1836C22×C4—4256no—
1837C22×C4—4128no—
1838C22×C4—41024no—
1839C22×C4—4512no—
1840C22×C4—4192no—
1841C22×C4—496no—
1842C22×C4—496no—
1843C22×C4—496no—
1844C22×C4—496no—
1845C22×C4—496no—
1846C22×C4—4192no—
1847C22×C4—4192no—
1848C22×C4—496no—
1849C22×C4—496no—
1850C22×C4—4192no—
1851C22×C4—43072no—
1852C22×C4—4256no—
1853C22×C4—4256no—
1854C22×C4C2×C4×C22⋊C41512yescomplemented
1855C22×C4D4×C22⋊C41512yesdirect product factor
1856C22×C4C23×C42196yes—
1857C22×C4C23×C42196yes—
1858C22×C4C23×C421256yescomplemented
1859C22×C4C23×C22⋊C4196yes—
1860C22×C4C23×C22⋊C41192yes—
1861C22×C4C23×C22⋊C4196yes—
1862C22×C4C23×C22⋊C4196yes—
1863C22×C4C23×C22⋊C41512yescomplemented
1864C22×C4C22×#117196yes—
1865C22×C4C22×C4×D4196yes—
1866C22×C4C22×C4×D4196yes—
1867C22×C4C22×C4×D41384yes—
1868C22×C4C22×C4×D41256yescomplemented
1869C22×C4C22×C4×D41384yescomplemented
1870C22×C4C2×#518196yes—
1871C22×C4C2×D421192yes—
1872C22×C4C2×#5461192yes—
1873C22×C4C25×C4132yes—
1874C22×C4C25×C4164yes—
1875C22×C4C25×C418yes—
1876C22×C4C25×C4116yes—
1877C22×C4C25×C4116yes—
1878C22×C4C25×C418yes—
1879C22×C4C25×C418yes—
1880C22×C4C25×C4116yes—
1881C22×C4C25×C418yes—
1882C22×C4C25×C4132yes—
1883C22×C4C25×C418yes—
1884C22×C4C25×C4116yes—
1885C22×C4C25×C418yes—
1886C22×C4C24×D4116yes—
1887C22×C4C24×D4132yes—
1888C22×C4C24×D418yes—
1889C22×C4C24×D4132yes—
1890C22×C4C24×D4116yes—
1891C22×C4C24×D4116yes—
1892C22×C4C24×D418yes—
1893C22×C4C23×#4118yes—
1894C22×C4C23×#41132yes—
1895C22×C4C23×#41116yes—
1896C22×C4C23×#4118yes—
1897C22×C4C22×H(5,𝔽2)116yes—
1898C4⋊C4—2256no—
1899C4⋊C4—2128no—
1900C4⋊C4—2512no—
1901C4⋊C4C23×C22⋊C41256yescomplemented
1902C22⋊C4—2256no—
1903C22⋊C4—2512no—
1904C22⋊C4—21024no—
1905C22⋊C4—2256no—
1906C22⋊C4—2256no—
1907C22⋊C4—2256no—
1908C22⋊C4—21024no—
1909C22⋊C4—4512no—
1910C22⋊C4C23×C22⋊C41512yescomplemented
1911C22⋊C4C22×C4×D41512yesdirect product factor
1912C42—2128no—
1913C42—2128no—
1914C42—2128no—
1915C42—2512no—
1916C42—2256no—
1917C42—4256no—
1918C42—4512no—
1919C42—4256no—
1920C42—4128no—
1921C42C23×C22⋊C41256yescomplemented
1922C23—28no—
1923C23—28no—
1924C23—216no—
1925C23—232no—
1926C23—232no—
1927C23—216no—
1928C23—232no—
1929C23—28no—
1930C23—216no—
1931C23—28no—
1932C23—216no—
1933C23—264no—
1934C23—232no—
1935C23—232no—
1936C23—216no—
1937C23—216no—
1938C23—232no—
1939C23—232no—
1940C23—232no—
1941C23—264no—
1942C23—216no—
1943C23—216no—
1944C23—232no—
1945C23—264no—
1946C23—232no—
1947C23—2192no—
1948C23—2384no—
1949C23—2192no—
1950C23—2384no—
1951C23—2192no—
1952C23—2384no—
1953C23—2192no—
1954C23—2384no—
1955C23—21536no—
1956C23—2768no—
1957C23—2768no—
1958C23—21536no—
1959C23—22048no—
1960C23—24096no—
1961C23—2192no—
1962C23—2384no—
1963C23—2192no—
1964C23—2384no—
1965C23—216no—
1966C23—216no—
1967C23—232no—
1968C23—216no—
1969C23—264no—
1970C23—216no—
1971C23—232no—
1972C23—216no—
1973C23—216no—
1974C23—264no—
1975C23—2384no—
1976C23—21024no—
1977C23—2384no—
1978C23—21024no—
1979C23—2384no—
1980C23—4512no—
1981C23—4512no—
1982C23—4512no—
1983C23—424576no—
1984C23—42048no—
1985C23—42048no—
1986C23—4512no—
1987C23—4512no—
1988C23—416no—
1989C23—416no—
1990C23—432no—
1991C23—416no—
1992C23—416no—
1993C23—432no—
1994C23—4192no—
1995C23—4192no—
1996C23—4192no—
1997C23—4192no—
1998C23—4768no—
1999C23—4768no—
2000C23—42048no—
2001C23C22×C4×C22⋊C4164yes—
2002C23C22×C4×C22⋊C41768yescomplemented
2003C23C2×C42×D4164yes—
2004C23C2×C42×D41384yescomplemented
2005C23C4×#518164yes—
2006C23C2×D4×C22⋊C4164yes—
2007C23C22⋊C4×#41164yes—
2008C23D4×#117164yes—
2009C23#34126164yes—
2010C23C4×D421256yes—
2011C23C4×#5461256yes—
2012C23C24×C42132yes—
2013C23C24×C42132yes—
2014C23C24×C42116yes—
2015C23C24×C42112yes—
2016C23C24×C22⋊C4132yes—
2017C23C24×C22⋊C4112yes—
2018C23C23×#117132yes—
2019C23C23×#117112yes—
2020C23C23×C4×D41128yes—
2021C23C23×C4×D4132yes—
2022C23C23×C4×D4116yes—
2023C23C23×C4×D4112yes—
2024C23C23×C4×D4124yes—
2025C23C23×C4×D4148yes—
2026C23C22×C4×#41132yes—
2027C23C22×C4×#41116yes—
2028C23C22×C4×#41112yes—
2029C23C22×C4×#41124yes—
2030C23C22×#518112yes—
2031C23C2×#3428112yes—
2032C23C2×C4×H(5,𝔽2)148yes—
2033C23C22×D42124yes—
2034C23C22×#546124yes—
2035C23C2×D4×#41124yes—
2036C23C2×D4×#41148yes—
2037C23C2×#3475124yes—
2038C23C2×#3481148yes—
2039C23C26×C411yescharacteristic
2040C23C26×C412yes—
2041C23C25×D412yes—
2042C23C25×D411yescharacteristic
2043C23C24×#4112yes—
2044C23C24×#4111yescharacteristic
2045C23C24×#4112yes—
2046C23C23×H(5,𝔽2)12yes—
2047C23C22×#58512yes—
2048D4—21024no—
2049D4—2512no—
2050D4C22×C4×C22⋊C411024yesdirect product factor
2051C2×C4—28no—
2052C2×C4—28no—
2053C2×C4—28no—
2054C2×C4—232no—
2055C2×C4—216no—
2056C2×C4—232no—
2057C2×C4—28no—
2058C2×C4—28no—
2059C2×C4—216no—
2060C2×C4—28no—
2061C2×C4—232no—
2062C2×C4—232no—
2063C2×C4—232no—
2064C2×C4—216no—
2065C2×C4—216no—
2066C2×C4—232no—
2067C2×C4—232no—
2068C2×C4—232no—
2069C2×C4—232no—
2070C2×C4—232no—
2071C2×C4—2192no—
2072C2×C4—2384no—
2073C2×C4—2192no—
2074C2×C4—2768no—
2075C2×C4—2192no—
2076C2×C4—2512no—
2077C2×C4—21024no—
2078C2×C4—2512no—
2079C2×C4—28no—
2080C2×C4—216no—
2081C2×C4—232no—
2082C2×C4—264no—
2083C2×C4—264no—
2084C2×C4—216no—
2085C2×C4—232no—
2086C2×C4—28no—
2087C2×C4—216no—
2088C2×C4—28no—
2089C2×C4—232no—
2090C2×C4—264no—
2091C2×C4—4512no—
2092C2×C4—4256no—
2093C2×C4—42048no—
2094C2×C4—4512no—
2095C2×C4—4512no—
2096C2×C4—432no—
2097C2×C4—416no—
2098C2×C4—416no—
2099C2×C4—416no—
2100C2×C4—416no—
2101C2×C4—416no—
2102C2×C4—432no—
2103C2×C4—432no—
2104C2×C4—416no—
2105C2×C4—416no—
2106C2×C4—432no—
2107C2×C4—4192no—
2108C2×C4—496no—
2109C2×C4—4768no—
2110C2×C4—4384no—
2111C2×C4—4512no—
2112C2×C4C22×C4×C22⋊C41384yescomplemented
2113C2×C4C2×D4×C22⋊C41384yesdirect product factor
2114C2×C4C24×C42116yes—
2115C2×C4C24×C42116yes—
2116C2×C4C24×C22⋊C4116yes—
2117C2×C4C24×C22⋊C4132yes—
2118C2×C4C24×C22⋊C4116yes—
2119C2×C4C24×C22⋊C4116yes—
2120C2×C4C23×#117116yes—
2121C2×C4C23×C4×D4116yes—
2122C2×C4C23×C4×D4116yes—
2123C2×C4C23×C4×D4164yes—
2124C2×C4C23×C4×D4164yescomplemented
2125C2×C4C22×#518116yes—
2126C2×C4C22×D42132yes—
2127C2×C4C22×#546132yes—
2128C22—216no—
2129C22—232no—
2130C22—216no—
2131C22—232no—
2132C22—2768no—
2133C22—21536no—
2134C22—232no—
2135C22—2128no—
2136C22—264no—
2137C22—216no—
2138C22—232no—
2139C22—264no—
2140C22—2128no—
2141C22—216no—
2142C22—232no—
2143C22—216no—
2144C22—232no—
2145C22—216no—
2146C22—232no—
2147C22—232no—
2148C22—232no—
2149C22—42048no—
2150C22—416no—
2151C22—416no—
2152C22—4768no—
2153C22—464no—
2154C22—464no—
2155C22—416no—
2156C22—416no—
2157C22C4×D4×C22⋊C41256yesdirect product factor
2158C22C23×C4×C22⋊C4124yes—
2159C22C23×C4×C22⋊C4164yescomplemented
2160C22C22×C42×D4124yes—
2161C22C22×C42×D4132yescomplemented
2162C22C2×C4×#518124yes—
2163C22C22×D4×C22⋊C4124yes—
2164C22C2×D4×#117124yes—
2165C22C2×C22⋊C4×#41124yes—
2166C22C2×#34126124yes—
2167C22C2×C4×D42196yes—
2168C22C2×C4×#546196yes—
2169C22C25×C4211yescharacteristic
2170C22C25×C22⋊C411yescharacteristic
2171C22C24×#11711yescharacteristic
2172C22C24×C4×D411yescharacteristic
2173C22C24×C4×D412yes—
2174C22C24×C4×D414yes—
2175C22C23×C4×#4111yescharacteristic
2176C22C23×C4×#4112yes—
2177C22C23×#51811yescharacteristic
2178C22C22×#342811yescharacteristic
2179C22C22×C4×H(5,𝔽2)14yes—
2180C22C23×D4212yes—
2181C22C23×#54612yes—
2182C22C22×D4×#4114yes—
2183C22C22×D4×#4112yes—
2184C22C22×#347512yes—
2185C22C22×#348114yes—
2186C4—216no—
2187C4—232no—
2188C4—216no—
2189C4—264no—
2190C4—216no—
2191C4—416no—
2192C4—48no—
2193C4—464no—
2194C4—432no—
2195C4C23×C4×C22⋊C4132yescomplemented
2196C4C22×D4×C22⋊C4132yesdirect product factor
2197C2—232no—
2198C2—264no—
2199C2—432no—
2200C2C22×C4×D4214yes—
2201C2C23×D4×C22⋊C411yescharacteristic
2202C2C22×D4×#11711yescharacteristic
2203C2C23×C42×D411yescharacteristic
2204C2C24×C4×C22⋊C411yescharacteristic
2205C2C22×C4×#54614yes—
2206C2C2×C4×D4×C22⋊C4148yesdirect product factor
2207C2C22×#3412611yescharacteristic
2208C2C22×C4×#51811yescharacteristic
2209C2C22×C22⋊C4×#4111yescharacteristic
subgroupG/H
center, socleC25×C4C24
commutatorC22C25×C42
Frattini, cosocleC24C27
prime radicalC26×D4C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C25×C4 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×C4×#390C2semidirect
2. C22×C4×#380C2semidirect
3. C22×C22⋊C4×C4⋊C4C2semidirect
4. C22×C42×C22⋊C4C2semidirect
5. C2×C4×D4×C22⋊C4C2direct (N × H)
6. C22×#13820C2semidirect
7. C24×C4×C22⋊C4C2semidirect
8. C23×C42×D4C2semidirect
9. C22×D4×#95C2semidirect
10. C22×C4×#386C2semidirect
11. C22×#13813C2semidirect
12. C22×C4×#379C2semidirect
14. C22×C22⋊C42C2semidirect
19. C24×C4×D4C4semidirect
32. C25×C42C22semidirect
33. C22×D4×C22⋊C4C4direct (N × H)
40. C22×C42×D4C22semidirect
41. C23×C4×C4⋊C4C22semidirect
42. C23×C4×C4⋊C4C22semidirect
50. C23×C4×C22⋊C4C22semidirect
51. C23×C4×C22⋊C4C22semidirect
52. C23×C4×C22⋊C4C22semidirect
53. C23×C4×C22⋊C4C22semidirect
54. C23×C4×C22⋊C4C22semidirect
55. C23×C4×C22⋊C4C22semidirect
56. C24×#95C22semidirect
57. C23×C43C22semidirect
58. C4×D4×C22⋊C4C22direct (N × H)
59. C2×#13820C22semidirect
60. C2×#13813C22semidirect
61. C2×D4×#95C22semidirect
62. C2×C22⋊C4×C4⋊C4C22semidirect
63. C2×C22⋊C42C22semidirect
64. C2×C4×#380C22semidirect
65. C2×C4×#379C22semidirect
66. C2×C4×#390C22semidirect
67. C2×C4×#386C22semidirect
68. C22×#1437C22semidirect
69. C22×#1437C22semidirect
70. C22×#1436C22semidirect
71. C22×C4⋊#95C22semidirect
72. C22×C4⋊#95C22semidirect
73. C22×#1434C22semidirect
76. C22×C22⋊#95C22semidirect
77. C22×C22⋊#95C22semidirect
78. C22×C22⋊#95C22semidirect
79. C2×C42×C22⋊C4C22semidirect
80. C22×C4×#95C22semidirect
81. C22×C4×#95C22semidirect
82. C22×C4×#95C22semidirect
83. C22×C4×#95C22semidirect
97. C26×C4C2×C4semidirect
119. C23×C4×D4C2×C4semidirect
120. C23×C4×D4C2×C4semidirect
121. C23×C4×D4C2×C4semidirect
122. C23×C4×D4C2×C4semidirect
123. C23×C4×D4C2×C4semidirect
124. C23×C4×D4C2×C4semidirect
135. C24×C4⋊C4C2×C4semidirect
144. C24×C22⋊C4C2×C4semidirect
145. C24×C22⋊C4C2×C4semidirect
162. C24×C42C2×C4semidirect
174. C24×C42C23semidirect
175. C2×D4×C22⋊C4C2×C4direct (N × H)
177. C22×#390C2×C4semidirect
179. C22×#386C2×C4semidirect
181. C22×#380C2×C4semidirect
183. C22×#379C2×C4semidirect
186. C2×C42×D4C23semidirect
189. C22×C4×C4⋊C4C23semidirect
190. C22×C4×C4⋊C4C23semidirect
201. C22×C4×C22⋊C4C2×C4semidirect
202. C22×C4×C22⋊C4D4direct (N × H)
209. C22×C4×C22⋊C4C23semidirect
210. C22×C4×C22⋊C4C23semidirect
211. C22×C4×C22⋊C4C23semidirect
212. C22×C4×C22⋊C4C23semidirect
213. C22×C4×C22⋊C4C23semidirect
214. C22×C4×C22⋊C4C23semidirect
227. C23×#95C23semidirect
229. C22×C43C23semidirect
230. #13820C23semidirect
231. #13813C23semidirect
232. D4×#95C23semidirect
233. C22⋊C4×C4⋊C4C23semidirect
234. C22⋊C42C23semidirect
235. C4×#380C23semidirect
236. C4×#379C23semidirect
237. C4×#390C23semidirect
238. C4×#386C23semidirect
239. C2×#1437C23semidirect
240. C2×#1437C23semidirect
241. C2×#1436C23semidirect
242. C2×C4⋊#95C23semidirect
243. C2×C4⋊#95C23semidirect
244. C2×#1434C23semidirect
247. C2×C22⋊#95C23semidirect
248. C2×C22⋊#95C23semidirect
249. C2×C22⋊#95C23semidirect
250. C42×C22⋊C4C23semidirect
251. C2×C4×#95C23semidirect
252. C2×C4×#95C23semidirect
253. C2×C4×#95C23semidirect
254. C2×C4×#95C23semidirect
277. C24×D4C42semidirect
342. C25×C4C22×C4semidirect
343. C25×C4C22×C4semidirect
383. C22×C4×D4C22⋊C4direct (N × H)
386. C22×C4×D4C22×C4semidirect
387. C22×C4×D4C22×C4semidirect
388. C22×C4×D4C22×C4semidirect
389. C22×C4×D4C22×C4semidirect
390. C22×C4×D4C22×C4semidirect
391. C22×C4×D4C22×C4semidirect
409. C23×C4⋊C4C22×C4semidirect
410. C23×C4⋊C4C22×C4semidirect
442. C23×C22⋊C4C22×C4semidirect
443. C23×C22⋊C4C22×C4semidirect
444. C23×C22⋊C4C22×C4semidirect
445. C23×C22⋊C4C22×C4semidirect
446. C23×C22⋊C4C22×C4semidirect
491. C23×C42C22×C4semidirect
492. C23×C42C22×C4semidirect
494. C23×C42C2×D4semidirect
506. C23×C42C24semidirect
507. D4×C22⋊C4C22×C4direct (N × H)
508. C2×#390C22×C4semidirect
510. C2×#386C22×C4semidirect
512. C2×#380C22×C4semidirect
514. C2×#379C22×C4semidirect
519. C2×C4×C4⋊C4C24semidirect
520. C2×C4×C4⋊C4C24semidirect
531. C2×C4×C22⋊C4C22×C4semidirect
532. C2×C4×C22⋊C4C2×D4direct (N × H)
539. C2×C4×C22⋊C4C24semidirect
540. C2×C4×C22⋊C4C24semidirect
541. C2×C4×C22⋊C4C24semidirect
542. C2×C4×C22⋊C4C24semidirect
543. C2×C4×C22⋊C4C24semidirect
553. C22×#95C22×C4semidirect
554. C22×#95C22×C4semidirect
555. C22×#95C2×D4semidirect
567. C22×#95C24semidirect
569. C2×C43C24semidirect
570. #1437C24semidirect
571. #1437C24semidirect
572. #1436C24semidirect
573. C4⋊#95C24semidirect
574. C4⋊#95C24semidirect
575. #1434C24semidirect
578. C22⋊#95C24semidirect
579. C22⋊#95C24semidirect
580. C22⋊#95C24semidirect
581. C4×#95C24semidirect
582. C4×#95C24semidirect
583. C4×#95C24semidirect
584. C4×#95C24semidirect
624. C26C2×C42semidirect
660. C23×D4C2×C42semidirect
661. C23×D4C2×C42semidirect
662. C23×D4C2×C42semidirect
795. C24×C4C2×C42semidirect
796. C24×C4C2×C22⋊C4semidirect
797. C24×C4C4×D4semidirect
820. C24×C4C23×C4semidirect
821. C24×C4C23×C4semidirect
871. C2×C4×D4C2×C22⋊C4direct (N × H)
874. C2×C4×D4C23×C4semidirect
875. C2×C4×D4C23×C4semidirect
876. C2×C4×D4C23×C4semidirect
877. C2×C4×D4C23×C4semidirect
878. C2×C4×D4C23×C4semidirect
889. C22×C4⋊C4C2×C22⋊C4semidirect
893. C22×C4⋊C4C23×C4semidirect
894. C22×C4⋊C4C23×C4semidirect
926. C22×C22⋊C4C2×C22⋊C4semidirect
927. C22×C22⋊C4C4×D4direct (N × H)
935. C22×C22⋊C4C23×C4semidirect
936. C22×C22⋊C4C23×C4semidirect
937. C22×C22⋊C4C23×C4semidirect
938. C22×C22⋊C4C23×C4semidirect
939. C22×C22⋊C4C23×C4semidirect
987. C22×C42C2×C22⋊C4semidirect
992. C22×C42C23×C4semidirect
993. C22×C42C23×C4semidirect
995. C22×C42C22×D4semidirect
1006. #390C23×C4semidirect
1007. #386C23×C4semidirect
1008. #380C23×C4semidirect
1009. #379C23×C4semidirect
1021. C4×C22⋊C4C23×C4semidirect
1022. C4×C22⋊C4C22×D4direct (N × H)
1032. C2×#95C23×C4semidirect
1033. C2×#95C23×C4semidirect
1034. C2×#95C22×D4semidirect
1139. C25C22×C42semidirect
1189. C22×D4C4×C22⋊C4direct (N × H)
1191. C22×D4C22×C42semidirect
1192. C22×D4C22×C42semidirect
1193. C22×D4C22×C42semidirect
1371. C23×C4C22×C42semidirect
1376. C23×C4C22×C22⋊C4semidirect
1381. C23×C4C2×C4×D4semidirect
1382. C23×C4C2×C4×D4semidirect
1408. C23×C4C24×C4semidirect
1441. C4×D4C22×C22⋊C4direct (N × H)
1450. C2×C4⋊C4C22×C22⋊C4semidirect
1454. C2×C4⋊C4C24×C4semidirect
1479. C2×C22⋊C4C22×C22⋊C4semidirect
1480. C2×C22⋊C4C2×C4×D4direct (N × H)
1488. C2×C22⋊C4C24×C4semidirect
1489. C2×C22⋊C4C24×C4semidirect
1490. C2×C22⋊C4C24×C4semidirect
1524. C2×C42C22×C22⋊C4semidirect
1529. C2×C42C24×C4semidirect
1531. C2×C42C23×D4semidirect
1540. #95C24×C4semidirect
1541. #95C24×C4semidirect
1542. #95C23×D4semidirect
1651. C24C2×C4×C22⋊C4semidirect
1652. C24C42×D4semidirect
1657. C24C23×C42semidirect
1711. C2×D4C2×C4×C22⋊C4direct (N × H)
1713. C2×D4C23×C42semidirect
1714. C2×D4C23×C42semidirect
1854. C22×C4C2×C4×C22⋊C4semidirect
1855. C22×C4D4×C22⋊C4direct (N × H)
1858. C22×C4C23×C42semidirect
1863. C22×C4C23×C22⋊C4semidirect
1868. C22×C4C22×C4×D4semidirect
1869. C22×C4C22×C4×D4semidirect
1901. C4⋊C4C23×C22⋊C4semidirect
1910. C22⋊C4C23×C22⋊C4semidirect
1911. C22⋊C4C22×C4×D4direct (N × H)
1921. C42C23×C22⋊C4semidirect
2002. C23C22×C4×C22⋊C4semidirect
2004. C23C2×C42×D4semidirect
2050. D4C22×C4×C22⋊C4direct (N × H)
2112. C2×C4C22×C4×C22⋊C4semidirect
2113. C2×C4C2×D4×C22⋊C4direct (N × H)
2124. C2×C4C23×C4×D4semidirect
2157. C22C4×D4×C22⋊C4direct (N × H)
2159. C22C23×C4×C22⋊C4semidirect
2161. C22C22×C42×D4semidirect
2195. C4C23×C4×C22⋊C4semidirect
2196. C4C22×D4×C22⋊C4direct (N × H)
2206. C2C2×C4×D4×C22⋊C4direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×#3902
C22×C4×#3802
C22×C22⋊C4×C4⋊C42
C22×C42×C22⋊C42
C2×C4×D4×C22⋊C42
C22×#138202
C24×C4×C22⋊C42
C23×C42×D42
C22×D4×#952
C22×C4×#3862
C22×#138132
C22×C4×#3792
C25×C4×D42
C22×C22⋊C422
C23×D4×C22⋊C42