Finite Group Databasebeta

← C22×#37782 #72324645

Subgroups — C22×#37782 #72324645

Order 1024.

110965 conjugacy classes of subgroups.

The subgroup lattice has 1929 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#535C211yesmaximal, characteristic, complemented
2C23×#532C211yesmaximal, characteristic, complemented
3C2×#37782C2196yesmaximal, direct product factor
4C22×#2712C212yesmaximal, complemented
5C22×#2670C212yesmaximal, complemented
6C22×#2673C212yesmaximal, complemented
7C22×#2678C212yesmaximal, complemented
8C22×#2854C211yesmaximal, characteristic, complemented
9C22×#2491C211yesmaximal, characteristic, complemented
10C22×#2404C212yesmaximal, complemented
11C22×#2439C211yesmaximal, characteristic, complemented
12C22×#2431C212yesmaximal, complemented
13C22×#2420C211yesmaximal, characteristic, complemented
14C22×#2428C211yesmaximal, characteristic, complemented
15C22×#2428C211yesmaximal, characteristic, complemented
16C22×#2433C211yesmaximal, characteristic, complemented
17C22×#2459C212yesmaximal, complemented
18C22×#2424C212yesmaximal, complemented
19C22×#2619C211yesmaximal, characteristic, complemented
20C22×#2615C211yesmaximal, characteristic, complemented
21C22×#2363C211yesmaximal, characteristic, complemented
22C22×D4×C22⋊C4C211yesmaximal, characteristic, complemented
23C22×#2324C211yesmaximal, characteristic, complemented
24C22×#2297C211yesmaximal, characteristic, complemented
25C24×#41C2211yescharacteristic
26C24×#41C2212yescomplemented
27C25×D4C2211yescharacteristic
28C22×#535—232no—
29C22×#535C22148yescomplemented
30C22×#532—232no—
31C22×#532C22148yescomplemented
32C23×C4⋊Q8C2211yescharacteristic, complemented
33C23×#127C2212yes—
34C23×#127C2211yescharacteristic
35C23×#127C2211yescharacteristic
36C23×#124C2212yes—
37C23×#124C2212yescomplemented
38C23×#124C2212yescomplemented
39C23×#123C2212yescomplemented
40C23×#121C2211yescharacteristic
41C23×#121C2211yescharacteristic
42C23×#121C2211yescharacteristic
43C23×#121C2211yescharacteristic
44C23×#121C2211yescharacteristic
45C23×#121C2212yescomplemented
46C23×#121C2211yescharacteristic, complemented
47C23×#121C2212yescomplemented
48C23×#121C2212yescomplemented
49C23×#121C2211yescharacteristic, complemented
50C23×#120C2212yes—
51C23×#120C2212yes—
52C23×#120C2212yes—
53C23×#120C2212yes—
54C23×C4×D4C2211yescharacteristic
55C23×C4×D4C2211yescharacteristic
56C23×C4×D4C2212yescomplemented
57C23×C4×D4C2211yescharacteristic, complemented
58C23×#117C2211yescharacteristic
59C23×#117C2211yescharacteristic, complemented
60C24×C22⋊C4C2212yes—
61C24×C42C2211yescharacteristic, complemented
62C2×#2712C22196yescomplemented
63C2×#2678C22196yescomplemented
64C2×#2673C22196yescomplemented
65C2×#2670C22196yescomplemented
66#37782C2211024yesdirect product factor
67C2×#2854C22148yescomplemented
68C2×#2491C22148yescomplemented
69C2×#2404C22196yescomplemented
70C2×#2439C22148yescomplemented
71C2×#2431C22196yescomplemented
72C2×#2420C22148yescomplemented
73C2×#2428C22148yescomplemented
74C2×#2428C22148yescomplemented
75C2×#2433C22148yescomplemented
76C2×#2459C22196yescomplemented
77C2×#2424C22196yescomplemented
78C2×#2619C22148yescomplemented
79C2×#2615C22148yescomplemented
80C22×#397C2212yescomplemented
81C22×#396C2212yes—
82C22×#394C2212yescomplemented
83C22×#394C2212yescomplemented
84C22×#394C2212yescomplemented
85C22×#394C2212yescomplemented
86C22×#394C2212yescomplemented
87C22×#394C2212yescomplemented
88C22×#393C2212yes—
89C22×#393C2212yescomplemented
90C22×#393C2212yescomplemented
91C22×#392C2212yes—
92C22×#392C2212yes—
93C22×#392C2212yes—
94C22×#392C2212yes—
95C22×#392C2212yescomplemented
96C22×#392C2212yescomplemented
97C22×#392C2212yescomplemented
98C22×#392C2212yescomplemented
99C22×#392C2212yescomplemented
100C2×#2363C22148yescomplemented
101C2×D4×C22⋊C4C22148yescomplemented
102C2×#2324C22148yescomplemented
103C2×#2297C22148yescomplemented
104C22×#391C2211yescharacteristic, complemented
105C22×#391C2211yescharacteristic, complemented
106C22×#391C2212yescomplemented
107C22×#390C2212yes—
108C22×#390C2211yescharacteristic
109C22×#390C2211yescharacteristic
110C22×#390C2211yescharacteristic
111C22×#390C2211yescharacteristic
112C22×#390C2211yescharacteristic
113C22×#390C2211yescharacteristic
114C22×#390C2212yescomplemented
115C22×#390C2211yescharacteristic, complemented
116C22×#389C2211yescharacteristic, complemented
117C22×#389C2211yescharacteristic, complemented
118C22×#389C2211yescharacteristic, complemented
119C22×#388C2212yescomplemented
120C22×#388C2212yescomplemented
121C22×#388C2212yescomplemented
122C22×#388C2212yescomplemented
123C22×#388C2212yescomplemented
124C22×#387C2212yescomplemented
125C22×#386C2211yescharacteristic
126C22×#386C2211yescharacteristic
127C22×#386C2212yes—
128C22×#386C2212yes—
129C22×#386C2212yes—
130C22×#386C2211yescharacteristic, complemented
131C22×#386C2211yescharacteristic, complemented
132C22×#386C2212yescomplemented
133C22×#386C2212yescomplemented
134C22×#386C2212yescomplemented
135C22×#386C2212yescomplemented
136C22×#386C2212yescomplemented
137C22×#385C2212yescomplemented
138C22×#382C2211yescharacteristic, complemented
139C22×#381C2212yescomplemented
140C22×#380C2211yescharacteristic
141C22×#380C2211yescharacteristic, complemented
142C22×#380C2211yescharacteristic, complemented
143C22×#379C2212yes—
144C22×C4×C4⋊C4C2211yescharacteristic, complemented
145C22×C4×C22⋊C4C2211yescharacteristic
146C22×C4×C22⋊C4C2211yescharacteristic
147C22×C4×C22⋊C4C2211yescharacteristic, complemented
148C22×C4×C22⋊C4C2211yescharacteristic, complemented
149C22×C4×C22⋊C4C2212yescomplemented
150C27C2312yes—
151C23×#41—232no—
152C23×#41—216no—
153C23×#41—216no—
154C23×#41—48no—
155C23×#41—416no—
156C23×#41—416no—
157C23×#41C23124yes—
158C23×#41C23148yescomplemented
159C24×Q8C2311yescharacteristic
160C24×Q8C2312yes—
161C24×D4—216no—
162C24×D4—216no—
163C24×D4—48no—
164C24×D4C2311yescharacteristic
165C24×D4C2311yescharacteristic
166C24×D4C23124yes—
167C24×D4C2312yes—
168C24×D4C2311yescharacteristic
169C24×D4C2311yescharacteristic
170C24×D4C2311yescharacteristic
171C24×D4C2312yes—
172C24×D4C2312yes—
173C24×D4C2311yescharacteristic
174C24×D4C2312yes—
175C24×D4C2312yes—
176C24×D4C2312yes—
177C24×D4C2312yes—
178C24×D4C2312yes—
179C24×D4C2312yes—
180C24×D4C2312yes—
181C24×D4C2312yes—
182C24×D4C2312yes—
183C25×C4C2311yescharacteristic
184C25×C4C2311yescharacteristic
185C25×C4C2312yes—
186C25×C4C2312yes—
187C25×C4C2311yescharacteristic
188C25×C4C2311yescharacteristic
189C25×C4C2311yescharacteristic
190C25×C4C2312yes—
191C2×#535—2768no—
192C2×#535C231256yescomplemented
193C2×#532—2768no—
194C2×#532C231256yescomplemented
195C22×C4⋊Q8—216no—
196C22×C4⋊Q8C23124yescomplemented
197C22×#127—216no—
198C22×#127—232no—
199C22×#127—48no—
200C22×#127C23124yes—
201C22×#127C23148yes—
202C22×#127C23124yes—
203C22×#124—232no—
204C22×#124—232no—
205C22×#124—416no—
206C22×#124C23148yes—
207C22×#124C23148yescomplemented
208C22×#124C23148yescomplemented
209C22×#123—416no—
210C22×#123C23148yescomplemented
211C22×#121—216no—
212C22×#121—232no—
213C22×#121—216no—
214C22×#121—216no—
215C22×#121—216no—
216C22×#121—216no—
217C22×#121—416no—
218C22×#121—416no—
219C22×#121—48no—
220C22×#121D4132yescomplemented
221C22×#121C23124yes—
222C22×#121C23124yes—
223C22×#121C23124yes—
224C22×#121C23124yes—
225C22×#121C23124yes—
226C22×#121C23124yescomplemented
227C22×#121C23148yescomplemented
228C22×#121C23124yescomplemented
229C22×#121C23148yescomplemented
230C22×#121C23148yescomplemented
231C22×#120—232no—
232C22×#120—232no—
233C22×#120—416no—
234C22×#120—416no—
235C22×#120C23148yes—
236C22×#120C23148yes—
237C22×#120C23148yes—
238C22×#120C23148yes—
239C22×C4×D4—216no—
240C22×C4×D4—216no—
241C22×C4×D4—232no—
242C22×C4×D4—48no—
243C22×C4×D4C23124yes—
244C22×C4×D4C23124yes—
245C22×C4×D4C23124yescomplemented
246C22×C4×D4C23148yescomplemented
247C22×#117—216no—
248C22×#117—48no—
249C22×#117C23124yes—
250C22×#117C23124yescomplemented
251C23×C4⋊C4C2311yescharacteristic
252C23×C4⋊C4C2311yescharacteristic
253C23×C4⋊C4C2311yescharacteristic
254C23×C4⋊C4C2312yes—
255C23×C4⋊C4C2311yescharacteristic
256C23×C4⋊C4C2312yes—
257C23×C4⋊C4C2311yescharacteristic
258C23×C4⋊C4C2311yescharacteristic
259C23×C4⋊C4C2312yes—
260C23×C4⋊C4C2312yes—
261C23×C4⋊C4C2311yescharacteristic
262C23×C22⋊C4—416no—
263C23×C22⋊C4C2311yescharacteristic
264C23×C22⋊C4C2312yes—
265C23×C22⋊C4C2312yes—
266C23×C22⋊C4C2312yes—
267C23×C22⋊C4C2312yes—
268C23×C22⋊C4C2312yes—
269C23×C22⋊C4C2311yescharacteristic
270C23×C22⋊C4C2311yescharacteristic
271C23×C22⋊C4C2312yes—
272C23×C22⋊C4C2312yes—
273C23×C22⋊C4C2312yes—
274C23×C22⋊C4C2312yes—
275C23×C22⋊C4C2312yes—
276C23×C22⋊C4C2312yes—
277C23×C22⋊C4C2311yescharacteristic
278C23×C22⋊C4C2311yescharacteristic
279C23×C22⋊C4C2311yescharacteristic
280C23×C22⋊C4C23148yes—
281C23×C22⋊C4C2312yes—
282C23×C22⋊C4C2312yes—
283C23×C22⋊C4C2311yescharacteristic
284C23×C22⋊C4C2311yescharacteristic
285C23×C22⋊C4C2312yes—
286C23×C22⋊C4C2312yes—
287C23×C22⋊C4C2312yes—
288C23×C22⋊C4C2312yes—
289C23×C22⋊C4C2312yes—
290C23×C22⋊C4C2312yes—
291C23×C22⋊C4C2312yes—
292C23×C22⋊C4C2311yescharacteristic
293C23×C22⋊C4C2311yescharacteristic
294C23×C22⋊C4C2312yes—
295C23×C22⋊C4C2312yes—
296C23×C22⋊C4C2312yes—
297C23×C22⋊C4C2312yes—
298C23×C42—216no—
299C23×C42C2311yescharacteristic
300C23×C42C2311yescharacteristic
301C23×C42C2311yescharacteristic
302C23×C42C2311yescharacteristic
303C23×C42C2312yes—
304C23×C42C2311yescharacteristic
305C23×C42C2311yescharacteristic
306C23×C42C2312yes—
307C23×C42C23124yescomplemented
308#2854C231256yescomplemented
309#2712C231512yescomplemented
310#2678C231512yescomplemented
311#2673C231512yescomplemented
312#2670C231512yescomplemented
313#2619C231256yescomplemented
314#2615C231256yescomplemented
315#2491C231256yescomplemented
316#2459C231512yescomplemented
317#2439C231256yescomplemented
318#2433C231256yescomplemented
319#2431C231512yescomplemented
320#2428C231256yescomplemented
321#2428C231256yescomplemented
322#2424C231512yescomplemented
323#2420C231256yescomplemented
324#2404C231512yescomplemented
325C2×#397C23148yescomplemented
326C2×#396C23148yes—
327C2×#394C23148yescomplemented
328C2×#394C23148yescomplemented
329C2×#394C23148yescomplemented
330C2×#394C23148yescomplemented
331C2×#394C23148yescomplemented
332C2×#394C23148yescomplemented
333C2×#393C23148yes—
334C2×#393C23148yescomplemented
335C2×#393C23148yescomplemented
336C2×#392C23148yes—
337C2×#392C23148yes—
338C2×#392C23148yes—
339C2×#392C23148yes—
340C2×#392C23148yescomplemented
341C2×#392C23148yescomplemented
342C2×#392C23148yescomplemented
343C2×#392C23148yescomplemented
344C2×#392C23148yescomplemented
345#2363C231256yescomplemented
346D4×C22⋊C4C231256yescomplemented
347#2324C231256yescomplemented
348#2297C231256yescomplemented
349C2×#391C23124yescomplemented
350C2×#391C23148yescomplemented
351C2×#391C23124yescomplemented
352C2×#390C23124yes—
353C2×#390C23124yes—
354C2×#390C23124yes—
355C2×#390C23124yes—
356C2×#390C23148yes—
357C2×#390C23124yes—
358C2×#390C23124yes—
359C2×#390C23148yescomplemented
360C2×#390C23124yescomplemented
361C2×#389C23124yescomplemented
362C2×#389C23124yescomplemented
363C2×#389C23124yescomplemented
364C2×#388C23148yescomplemented
365C2×#388C23148yescomplemented
366C2×#388C23148yescomplemented
367C2×#388C23148yescomplemented
368C2×#388C23148yescomplemented
369C2×#387C23148yescomplemented
370C2×#386C23148yes—
371C2×#386C23148yes—
372C2×#386C23148yes—
373C2×#386C23124yes—
374C2×#386C23124yes—
375C2×#386C23148yescomplemented
376C2×#386C23148yescomplemented
377C2×#386C23148yescomplemented
378C2×#386C23148yescomplemented
379C2×#386C23148yescomplemented
380C2×#386C23124yescomplemented
381C2×#386C23124yescomplemented
382C2×#385C23148yescomplemented
383C2×#382C23124yescomplemented
384C2×#381C23148yescomplemented
385C2×#380C23124yes—
386C2×#380C23124yescomplemented
387C2×#380C23124yescomplemented
388C2×#379C23148yes—
389C2×C4×C4⋊C4C23124yescomplemented
390C2×C4×C22⋊C4C23124yes—
391C2×C4×C22⋊C4C23124yes—
392C2×C4×C22⋊C4C23148yescomplemented
393C2×C4×C22⋊C4C23124yescomplemented
394C2×C4×C22⋊C4C23124yescomplemented
395C22×#95C2311yescharacteristic
396C22×#95C2311yescharacteristic
397C22×#95C2311yescharacteristic
398C22×#95C2311yescharacteristic
399C22×#95C2311yescharacteristic
400C22×#95C2312yes—
401C22×#95C2311yescharacteristic
402C22×#95C2311yescharacteristic
403C22×#95C2311yescharacteristic
404C22×#95C2312yes—
405C22×#95C2312yes—
406C22×#95C2312yes—
407C22×#95C2312yes—
408C22×#95C2312yes—
409C22×#95C2312yes—
410C22×#95C2312yes—
411C22×#95C2312yes—
412C26—216no—
413C26—216no—
414C26—48no—
415C26—48no—
416C26—48no—
417C26—48no—
418C26—48no—
419C26C2412yes—
420C26C2411yescharacteristic
421C26C2412yes—
422C26C2411yescharacteristic
423C26C2412yes—
424C26C2411yescharacteristic
425C26C24124yes—
426C22×#41—2384no—
427C22×#41—2192no—
428C22×#41—2192no—
429C22×#41—496no—
430C22×#41—4192no—
431C22×#41—4256no—
432C22×#41—4192no—
433C22×#41—4512no—
434C22×#41C24164yes—
435C22×#41C241128yescomplemented
436C23×Q8—28no—
437C23×Q8—216no—
438C23×Q8—28no—
439C23×Q8—216no—
440C23×Q8—44no—
441C23×Q8—48no—
442C23×Q8C24112yes—
443C23×Q8C24124yes—
444C23×D4—216no—
445C23×D4—28no—
446C23×D4—216no—
447C23×D4—216no—
448C23×D4—28no—
449C23×D4—216no—
450C23×D4—28no—
451C23×D4—28no—
452C23×D4—216no—
453C23×D4—216no—
454C23×D4—216no—
455C23×D4—2192no—
456C23×D4—28no—
457C23×D4—28no—
458C23×D4—28no—
459C23×D4—216no—
460C23×D4—28no—
461C23×D4—216no—
462C23×D4—28no—
463C23×D4—28no—
464C23×D4—28no—
465C23×D4—2192no—
466C23×D4—28no—
467C23×D4—28no—
468C23×D4—216no—
469C23×D4—216no—
470C23×D4—28no—
471C23×D4—496no—
472C23×D4—4256no—
473C23×D4—48no—
474C23×D4—48no—
475C23×D4—44no—
476C23×D4—48no—
477C23×D4—44no—
478C23×D4—48no—
479C23×D4—48no—
480C23×D4—44no—
481C23×D4—48no—
482C23×D4—48no—
483C23×D4—48no—
484C23×D4—48no—
485C23×D4—48no—
486C23×D4—48no—
487C23×D4—48no—
488C23×D4—48no—
489C23×D4—48no—
490C23×D4—48no—
491C23×D4—48no—
492C23×D4—48no—
493C23×D4—48no—
494C23×D4—48no—
495C23×D4—48no—
496C23×D4—48no—
497C23×D4—48no—
498C23×D4—48no—
499C23×D4—48no—
500C23×D4C2×D4116yes—
501C23×D4C2×D4132yes—
502C23×D4C24112yes—
503C23×D4C24112yes—
504C23×D4C24164yes—
505C23×D4C24124yes—
506C23×D4C24112yes—
507C23×D4C24112yes—
508C23×D4C24112yes—
509C23×D4C24124yes—
510C23×D4C24124yes—
511C23×D4C24112yes—
512C23×D4C24124yes—
513C23×D4C24124yes—
514C23×D4C24124yes—
515C23×D4C24124yes—
516C23×D4C24124yes—
517C23×D4C24124yes—
518C23×D4C24124yes—
519C23×D4C24124yes—
520C23×D4C24124yes—
521C24×C4—28no—
522C24×C4—28no—
523C24×C4—28no—
524C24×C4—28no—
525C24×C4—28no—
526C24×C4—28no—
527C24×C4—28no—
528C24×C4—216no—
529C24×C4—28no—
530C24×C4—216no—
531C24×C4—28no—
532C24×C4—28no—
533C24×C4—216no—
534C24×C4—216no—
535C24×C4—28no—
536C24×C4—28no—
537C24×C4—44no—
538C24×C4—48no—
539C24×C4—48no—
540C24×C4—48no—
541C24×C4—48no—
542C24×C4—48no—
543C24×C4C2×D4116yes—
544C24×C4#41116yescomplemented
545C24×C4C24112yes—
546C24×C4C24112yes—
547C24×C4C2411yescharacteristic
548C24×C4C2412yes—
549C24×C4C2411yescharacteristic
550C24×C4C2412yes—
551C24×C4C2411yescharacteristic
552C24×C4C2412yes—
553C24×C4C2411yescharacteristic
554C24×C4C2411yescharacteristic
555C24×C4C2412yes—
556C24×C4C2411yescharacteristic
557C24×C4C24124yes—
558C24×C4C24124yes—
559C24×C4C24112yes—
560C24×C4C24112yes—
561C24×C4C2412yes—
562C24×C4C2411yescharacteristic
563C24×C4C2411yescharacteristic
564C24×C4C24112yes—
565C24×C4C2411yescharacteristic
566C24×C4C2411yescharacteristic
567C24×C4C2411yescharacteristic
568C24×C4C24124yes—
569C24×C4C2411yescharacteristic
570#535—22048no—
571#532—22048no—
572C2×C4⋊Q8—2192no—
573C2×C4⋊Q8C24164yescomplemented
574C2×#127—2192no—
575C2×#127—2384no—
576C2×#127—496no—
577C2×#127C241128yes—
578C2×#127C24164yes—
579C2×#127C24164yes—
580C2×#124—2384no—
581C2×#124—2384no—
582C2×#124—4192no—
583C2×#124C241128yes—
584C2×#124C241128yescomplemented
585C2×#124C241128yescomplemented
586C2×#123—4192no—
587C2×#123C241128yescomplemented
588C2×#121—2192no—
589C2×#121—2384no—
590C2×#121—2192no—
591C2×#121—2192no—
592C2×#121—2192no—
593C2×#121—2192no—
594C2×#121—4192no—
595C2×#121—4192no—
596C2×#121—496no—
597C2×#121C2×D41384yescomplemented
598C2×#121C24164yes—
599C2×#121C24164yes—
600C2×#121C24164yes—
601C2×#121C24164yes—
602C2×#121C24164yes—
603C2×#121C24164yescomplemented
604C2×#121C241128yescomplemented
605C2×#121C24164yescomplemented
606C2×#121C241128yescomplemented
607C2×#121C241128yescomplemented
608C2×#120—2384no—
609C2×#120—2384no—
610C2×#120—4192no—
611C2×#120—4192no—
612C2×#120C241128yes—
613C2×#120C241128yes—
614C2×#120C241128yes—
615C2×#120C241128yes—
616C2×C4×D4—2192no—
617C2×C4×D4—2192no—
618C2×C4×D4—2384no—
619C2×C4×D4—496no—
620C2×C4×D4C24164yes—
621C2×C4×D4C24164yes—
622C2×C4×D4C24164yescomplemented
623C2×C4×D4C241128yescomplemented
624C2×#117—2192no—
625C2×#117—496no—
626C2×#117C24164yes—
627C2×#117C24164yescomplemented
628C22×C4⋊C4—28no—
629C22×C4⋊C4—216no—
630C22×C4⋊C4—28no—
631C22×C4⋊C4—28no—
632C22×C4⋊C4—28no—
633C22×C4⋊C4—216no—
634C22×C4⋊C4—44no—
635C22×C4⋊C4—44no—
636C22×C4⋊C4—48no—
637C22×C4⋊C4—48no—
638C22×C4⋊C4C2×D4116yes—
639C22×C4⋊C4C24124yes—
640C22×C4⋊C4C24124yes—
641C22×C4⋊C4C24112yes—
642C22×C4⋊C4C24112yes—
643C22×C4⋊C4C24112yes—
644C22×C4⋊C4C24112yes—
645C22×C4⋊C4C24112yes—
646C22×C4⋊C4C24112yes—
647C22×C4⋊C4C24124yes—
648C22×C4⋊C4C24124yes—
649C22×C4⋊C4C24112yes—
650C22×C22⋊C4—216no—
651C22×C22⋊C4—216no—
652C22×C22⋊C4—216no—
653C22×C22⋊C4—216no—
654C22×C22⋊C4—216no—
655C22×C22⋊C4—216no—
656C22×C22⋊C4—216no—
657C22×C22⋊C4—216no—
658C22×C22⋊C4—28no—
659C22×C22⋊C4—216no—
660C22×C22⋊C4—28no—
661C22×C22⋊C4—28no—
662C22×C22⋊C4—216no—
663C22×C22⋊C4—216no—
664C22×C22⋊C4—28no—
665C22×C22⋊C4—28no—
666C22×C22⋊C4—28no—
667C22×C22⋊C4—4192no—
668C22×C22⋊C4—48no—
669C22×C22⋊C4—48no—
670C22×C22⋊C4—44no—
671C22×C22⋊C4—48no—
672C22×C22⋊C4—44no—
673C22×C22⋊C4—44no—
674C22×C22⋊C4—44no—
675C22×C22⋊C4—48no—
676C22×C22⋊C4—48no—
677C22×C22⋊C4—48no—
678C22×C22⋊C4—48no—
679C22×C22⋊C4—48no—
680C22×C22⋊C4—48no—
681C22×C22⋊C4—48no—
682C22×C22⋊C4—48no—
683C22×C22⋊C4—48no—
684C22×C22⋊C4C2×D4132yes—
685C22×C22⋊C4C24124yes—
686C22×C22⋊C4C24124yes—
687C22×C22⋊C4C24124yes—
688C22×C22⋊C4C24124yes—
689C22×C22⋊C4C24112yes—
690C22×C22⋊C4C24124yes—
691C22×C22⋊C4C24112yes—
692C22×C22⋊C4C24124yes—
693C22×C22⋊C4C24124yes—
694C22×C22⋊C4C24124yes—
695C22×C22⋊C4C24112yes—
696C22×C22⋊C4C24124yes—
697C22×C22⋊C4C24124yes—
698C22×C22⋊C4C24112yes—
699C22×C22⋊C4C24112yes—
700C22×C22⋊C4C24124yes—
701C22×C22⋊C4C24112yes—
702C22×C22⋊C4C241128yes—
703C22×C22⋊C4C24124yes—
704C22×C22⋊C4C24124yes—
705C22×C22⋊C4C24124yes—
706C22×C22⋊C4C24124yes—
707C22×C22⋊C4C24124yes—
708C22×C22⋊C4C24124yes—
709C22×C22⋊C4C24112yes—
710C22×C22⋊C4C24124yes—
711C22×C22⋊C4C24112yes—
712C22×C22⋊C4C24112yes—
713C22×C22⋊C4C24124yes—
714C22×C22⋊C4C24124yes—
715C22×C22⋊C4C24124yes—
716C22×C22⋊C4C24124yes—
717C22×C22⋊C4C24124yes—
718C22×C22⋊C4C24112yes—
719C22×C22⋊C4C24124yes—
720C22×C42—28no—
721C22×C42—28no—
722C22×C42—28no—
723C22×C42—28no—
724C22×C42—2192no—
725C22×C42—216no—
726C22×C42—28no—
727C22×C42—28no—
728C22×C42—48no—
729C22×C42C24112yes—
730C22×C42C24112yes—
731C22×C42C24112yes—
732C22×C42C24112yes—
733C22×C42C24124yes—
734C22×C42C24112yes—
735C22×C42C24112yes—
736C22×C42C24124yes—
737C22×C42C24164yescomplemented
738#397C241128yescomplemented
739#396C241128yes—
740#394C241128yescomplemented
741#394C241128yescomplemented
742#394C241128yescomplemented
743#394C241128yescomplemented
744#394C241128yescomplemented
745#394C241128yescomplemented
746#393C241128yes—
747#393C241128yescomplemented
748#393C241128yescomplemented
749#392C241128yes—
750#392C241128yes—
751#392C241128yes—
752#392C241128yes—
753#392C241128yescomplemented
754#392C241128yescomplemented
755#392C241128yescomplemented
756#392C241128yescomplemented
757#392C241128yescomplemented
758#391C241128yescomplemented
759#391C24164yescomplemented
760#391C24164yescomplemented
761#390C24164yes—
762#390C24164yes—
763#390C24164yes—
764#390C24164yes—
765#390C241128yes—
766#390C24164yes—
767#390C24164yes—
768#390C241128yescomplemented
769#390C24164yescomplemented
770#389C24164yescomplemented
771#389C24164yescomplemented
772#389C24164yescomplemented
773#388C241128yescomplemented
774#388C241128yescomplemented
775#388C241128yescomplemented
776#388C241128yescomplemented
777#388C241128yescomplemented
778#387C241128yescomplemented
779#386C241128yes—
780#386C241128yes—
781#386C241128yes—
782#386C24164yes—
783#386C24164yes—
784#386C241128yescomplemented
785#386C241128yescomplemented
786#386C241128yescomplemented
787#386C241128yescomplemented
788#386C24164yescomplemented
789#386C241128yescomplemented
790#386C24164yescomplemented
791#385C241128yescomplemented
792#382C24164yescomplemented
793#381C241128yescomplemented
794#380C24164yes—
795#380C24164yescomplemented
796#380C24164yescomplemented
797#379C241128yes—
798C4×C4⋊C4C24164yescomplemented
799C4×C22⋊C4C24164yes—
800C4×C22⋊C4C24164yes—
801C4×C22⋊C4C241128yescomplemented
802C4×C22⋊C4C24164yescomplemented
803C4×C22⋊C4C24164yescomplemented
804C2×#95C24112yes—
805C2×#95C24112yes—
806C2×#95C24124yes—
807C2×#95C24124yes—
808C2×#95C24124yes—
809C2×#95C24124yes—
810C2×#95C24124yes—
811C2×#95C24124yes—
812C2×#95C24124yes—
813C2×#95C24112yes—
814C2×#95C24124yes—
815C2×#95C24112yes—
816C2×#95C24112yes—
817C2×#95C24112yes—
818C2×#95C24112yes—
819C2×#95C24112yes—
820C2×#95C24124yes—
821C25—24no—
822C25—24no—
823C25—28no—
824C25—24no—
825C25—24no—
826C25—24no—
827C25—24no—
828C25—24no—
829C25—28no—
830C25—28no—
831C25—28no—
832C25—28no—
833C25—24no—
834C25—24no—
835C25—24no—
836C25—24no—
837C25—24no—
838C25—28no—
839C25—28no—
840C25—28no—
841C25—24no—
842C25—28no—
843C25—24no—
844C25—28no—
845C25—24no—
846C25—28no—
847C25—28no—
848C25—28no—
849C25—24no—
850C25—24no—
851C25—28no—
852C25—28no—
853C25—28no—
854C25—24no—
855C25—28no—
856C25—28no—
857C25—28no—
858C25—24no—
859C25—28no—
860C25—296no—
861C25—296no—
862C25—448no—
863C25—448no—
864C25—448no—
865C25—448no—
866C25—448no—
867C25—4128no—
868C25—4128no—
869C25—864no—
870C25—864no—
871C25—864no—
872C25—864no—
873C25—864no—
874C25C22×D4116yes—
875C25C22×D418yes—
876C25C2×#4118yes—
877C25C25112yes—
878C25C25112yes—
879C25C2516yes—
880C25C25112yes—
881C25C2516yes—
882C25C2516yes—
883C25C25132yes—
884C25C2511yescharacteristic
885C2×#41—2512no—
886C2×#41—2256no—
887C2×#41—2256no—
888C2×#41—4128no—
889C2×#41—4256no—
890C2×#41—41536no—
891C2×#41—4256no—
892C2×#41—43072no—
893C22×Q8—248no—
894C22×Q8—296no—
895C22×Q8—248no—
896C22×Q8—296no—
897C22×Q8—424no—
898C22×Q8—448no—
899C22×Q8—464no—
900C22×Q8—4128no—
901C22×Q8C25116yes—
902C22×Q8C25132yes—
903C22×D4—296no—
904C22×D4—248no—
905C22×D4—296no—
906C22×D4—296no—
907C22×D4—296no—
908C22×D4—248no—
909C22×D4—248no—
910C22×D4—248no—
911C22×D4—296no—
912C22×D4—296no—
913C22×D4—296no—
914C22×D4—2256no—
915C22×D4—2128no—
916C22×D4—248no—
917C22×D4—248no—
918C22×D4—248no—
919C22×D4—296no—
920C22×D4—248no—
921C22×D4—248no—
922C22×D4—296no—
923C22×D4—248no—
924C22×D4—248no—
925C22×D4—2256no—
926C22×D4—248no—
927C22×D4—296no—
928C22×D4—296no—
929C22×D4—248no—
930C22×D4—248no—
931C22×D4—4128no—
932C22×D4—41536no—
933C22×D4—448no—
934C22×D4—4128no—
935C22×D4—448no—
936C22×D4—448no—
937C22×D4—424no—
938C22×D4—448no—
939C22×D4—424no—
940C22×D4—448no—
941C22×D4—424no—
942C22×D4—448no—
943C22×D4—448no—
944C22×D4—4128no—
945C22×D4—4128no—
946C22×D4—464no—
947C22×D4—464no—
948C22×D4—4128no—
949C22×D4—448no—
950C22×D4—448no—
951C22×D4—448no—
952C22×D4—448no—
953C22×D4—448no—
954C22×D4—448no—
955C22×D4—448no—
956C22×D4—448no—
957C22×D4—448no—
958C22×D4—448no—
959C22×D4—448no—
960C22×D4—448no—
961C22×D4—448no—
962C22×D4—448no—
963C22×D4—448no—
964C22×D4—448no—
965C22×D4—448no—
966C22×D4—464no—
967C22×D4—4128no—
968C22×D4—464no—
969C22×D4—464no—
970C22×D4—864no—
971C22×D4—864no—
972C22×D4—864no—
973C22×D4—864no—
974C22×D4—864no—
975C22×D4—864no—
976C22×D4—864no—
977C22×D4C22×D4196yes—
978C22×D4C22×D41192yes—
979C22×D4C25116yes—
980C22×D4C25116yes—
981C22×D4C25132yes—
982C22×D4C25116yes—
983C22×D4C25116yes—
984C22×D4C25132yes—
985C22×D4C25132yes—
986C22×D4C25116yes—
987C22×D4C25116yes—
988C22×D4C25132yes—
989C22×D4C25132yes—
990C22×D4C25132yes—
991C22×D4C25132yes—
992C22×D4C25132yes—
993C22×D4C25132yes—
994C22×D4C25132yes—
995C22×D4C25132yes—
996C22×D4C25132yes—
997C23×C4—2128no—
998C23×C4—24no—
999C23×C4—24no—
1000C23×C4—24no—
1001C23×C4—24no—
1002C23×C4—248no—
1003C23×C4—24no—
1004C23×C4—24no—
1005C23×C4—28no—
1006C23×C4—24no—
1007C23×C4—24no—
1008C23×C4—24no—
1009C23×C4—28no—
1010C23×C4—24no—
1011C23×C4—2128no—
1012C23×C4—2128no—
1013C23×C4—248no—
1014C23×C4—248no—
1015C23×C4—248no—
1016C23×C4—248no—
1017C23×C4—248no—
1018C23×C4—248no—
1019C23×C4—24no—
1020C23×C4—24no—
1021C23×C4—28no—
1022C23×C4—28no—
1023C23×C4—296no—
1024C23×C4—248no—
1025C23×C4—28no—
1026C23×C4—24no—
1027C23×C4—28no—
1028C23×C4—24no—
1029C23×C4—24no—
1030C23×C4—24no—
1031C23×C4—24no—
1032C23×C4—28no—
1033C23×C4—24no—
1034C23×C4—28no—
1035C23×C4—24no—
1036C23×C4—24no—
1037C23×C4—28no—
1038C23×C4—28no—
1039C23×C4—24no—
1040C23×C4—24no—
1041C23×C4—28no—
1042C23×C4—28no—
1043C23×C4—28no—
1044C23×C4—24no—
1045C23×C4—24no—
1046C23×C4—24no—
1047C23×C4—24no—
1048C23×C4—24no—
1049C23×C4—28no—
1050C23×C4—24no—
1051C23×C4—296no—
1052C23×C4—248no—
1053C23×C4—248no—
1054C23×C4—296no—
1055C23×C4—296no—
1056C23×C4—248no—
1057C23×C4—248no—
1058C23×C4—424no—
1059C23×C4—448no—
1060C23×C4—448no—
1061C23×C4—4128no—
1062C23×C4—448no—
1063C23×C4—448no—
1064C23×C4—448no—
1065C23×C4—464no—
1066C23×C4—4128no—
1067C23×C4—464no—
1068C23×C4—864no—
1069C23×C4C22×D418yes—
1070C23×C4C22×D4116yes—
1071C23×C4C22×D4196yes—
1072C23×C4C22×D418yes—
1073C23×C4C2×#4118yes—
1074C23×C4C2×#4118yes—
1075C23×C4C2×#41196yescomplemented
1076C23×C4H(5,𝔽2)18yes—
1077C23×C4H(5,𝔽2)18yes—
1078C23×C4H(5,𝔽2)18yes—
1079C23×C4H(5,𝔽2)18yes—
1080C23×C4C2516yes—
1081C23×C4C2516yes—
1082C23×C4C25112yes—
1083C23×C4C2516yes—
1084C23×C4C25112yes—
1085C23×C4C25112yes—
1086C23×C4C2516yes—
1087C23×C4C25112yes—
1088C23×C4C2516yes—
1089C23×C4C2516yes—
1090C23×C4C25116yes—
1091C23×C4C25116yes—
1092C23×C4C25132yes—
1093C23×C4C25132yes—
1094C23×C4C25116yes—
1095C23×C4C2516yes—
1096C23×C4C25112yes—
1097C23×C4C25116yes—
1098C23×C4C2516yes—
1099C23×C4C25116yes—
1100C23×C4C2516yes—
1101C23×C4C2516yes—
1102C23×C4C2516yes—
1103C23×C4C25132yes—
1104C23×C4C2516yes—
1105C4⋊Q8—2256no—
1106#127—2256no—
1107#127—2512no—
1108#127—4128no—
1109#124—2512no—
1110#124—2512no—
1111#124—4256no—
1112#123—4256no—
1113#121—2256no—
1114#121—2512no—
1115#121—2256no—
1116#121—2256no—
1117#121—2256no—
1118#121—2256no—
1119#121—4256no—
1120#121—4256no—
1121#121—4128no—
1122#121C22×D41512yescomplemented
1123#120—2512no—
1124#120—2512no—
1125#120—4256no—
1126#120—4256no—
1127C4×D4—2256no—
1128C4×D4—2256no—
1129C4×D4—2512no—
1130C4×D4—4128no—
1131#117—2256no—
1132#117—4128no—
1133C2×C4⋊C4—248no—
1134C2×C4⋊C4—296no—
1135C2×C4⋊C4—248no—
1136C2×C4⋊C4—248no—
1137C2×C4⋊C4—248no—
1138C2×C4⋊C4—296no—
1139C2×C4⋊C4—424no—
1140C2×C4⋊C4—424no—
1141C2×C4⋊C4—448no—
1142C2×C4⋊C4—448no—
1143C2×C4⋊C4C22×D4196yes—
1144C2×C4⋊C4C25116yes—
1145C2×C4⋊C4C25116yes—
1146C2×C4⋊C4C25116yes—
1147C2×C4⋊C4C25132yes—
1148C2×C4⋊C4C25116yes—
1149C2×C4⋊C4C25132yes—
1150C2×C4⋊C4C25116yes—
1151C2×C4⋊C4C25116yes—
1152C2×C4⋊C4C25132yes—
1153C2×C4⋊C4C25132yes—
1154C2×C4⋊C4C25116yes—
1155C2×C22⋊C4—296no—
1156C2×C22⋊C4—296no—
1157C2×C22⋊C4—296no—
1158C2×C22⋊C4—296no—
1159C2×C22⋊C4—296no—
1160C2×C22⋊C4—296no—
1161C2×C22⋊C4—296no—
1162C2×C22⋊C4—296no—
1163C2×C22⋊C4—248no—
1164C2×C22⋊C4—296no—
1165C2×C22⋊C4—248no—
1166C2×C22⋊C4—248no—
1167C2×C22⋊C4—296no—
1168C2×C22⋊C4—296no—
1169C2×C22⋊C4—248no—
1170C2×C22⋊C4—248no—
1171C2×C22⋊C4—248no—
1172C2×C22⋊C4—4256no—
1173C2×C22⋊C4—448no—
1174C2×C22⋊C4—448no—
1175C2×C22⋊C4—424no—
1176C2×C22⋊C4—448no—
1177C2×C22⋊C4—424no—
1178C2×C22⋊C4—424no—
1179C2×C22⋊C4—424no—
1180C2×C22⋊C4—448no—
1181C2×C22⋊C4—448no—
1182C2×C22⋊C4—448no—
1183C2×C22⋊C4—448no—
1184C2×C22⋊C4—448no—
1185C2×C22⋊C4—448no—
1186C2×C22⋊C4—448no—
1187C2×C22⋊C4—448no—
1188C2×C22⋊C4—448no—
1189C2×C22⋊C4C22×D41192yes—
1190C2×C22⋊C4C25116yes—
1191C2×C22⋊C4C25132yes—
1192C2×C22⋊C4C25132yes—
1193C2×C22⋊C4C25132yes—
1194C2×C22⋊C4C25132yes—
1195C2×C22⋊C4C25132yes—
1196C2×C22⋊C4C25116yes—
1197C2×C22⋊C4C25116yes—
1198C2×C22⋊C4C25132yes—
1199C2×C22⋊C4C25132yes—
1200C2×C22⋊C4C25132yes—
1201C2×C22⋊C4C25132yes—
1202C2×C22⋊C4C25132yes—
1203C2×C22⋊C4C25132yes—
1204C2×C22⋊C4C25116yes—
1205C2×C22⋊C4C25116yes—
1206C2×C22⋊C4C25116yes—
1207C2×C22⋊C4C25132yes—
1208C2×C22⋊C4C25132yes—
1209C2×C22⋊C4C25116yes—
1210C2×C22⋊C4C25116yes—
1211C2×C22⋊C4C25132yes—
1212C2×C22⋊C4C25132yes—
1213C2×C22⋊C4C25132yes—
1214C2×C22⋊C4C25132yes—
1215C2×C22⋊C4C25132yes—
1216C2×C22⋊C4C25132yes—
1217C2×C22⋊C4C25132yes—
1218C2×C22⋊C4C25132yes—
1219C2×C22⋊C4C25132yes—
1220C2×C22⋊C4C25116yes—
1221C2×C22⋊C4C25116yes—
1222C2×C22⋊C4C25132yes—
1223C2×C22⋊C4C25132yes—
1224C2×C42—296no—
1225C2×C42—248no—
1226C2×C42—248no—
1227C2×C42—248no—
1228C2×C42—248no—
1229C2×C42—2256no—
1230C2×C42—248no—
1231C2×C42—248no—
1232C2×C42—448no—
1233C2×C42C25132yes—
1234C2×C42C25116yes—
1235C2×C42C25116yes—
1236C2×C42C25116yes—
1237C2×C42C25116yes—
1238C2×C42C25116yes—
1239C2×C42C25116yes—
1240C2×C42C25132yes—
1241#95C25116yes—
1242#95C25116yes—
1243#95C25116yes—
1244#95C25116yes—
1245#95C25116yes—
1246#95C25132yes—
1247#95C25116yes—
1248#95C25116yes—
1249#95C25116yes—
1250#95C25132yes—
1251#95C25132yes—
1252#95C25132yes—
1253#95C25132yes—
1254#95C25132yes—
1255#95C25132yes—
1256#95C25132yes—
1257#95C25132yes—
1258C24—212no—
1259C24—212no—
1260C24—224no—
1261C24—212no—
1262C24—212no—
1263C24—212no—
1264C24—212no—
1265C24—212no—
1266C24—224no—
1267C24—224no—
1268C24—224no—
1269C24—224no—
1270C24—212no—
1271C24—212no—
1272C24—212no—
1273C24—212no—
1274C24—212no—
1275C24—224no—
1276C24—232no—
1277C24—232no—
1278C24—232no—
1279C24—264no—
1280C24—232no—
1281C24—264no—
1282C24—232no—
1283C24—264no—
1284C24—232no—
1285C24—224no—
1286C24—224no—
1287C24—212no—
1288C24—224no—
1289C24—212no—
1290C24—224no—
1291C24—212no—
1292C24—224no—
1293C24—224no—
1294C24—224no—
1295C24—212no—
1296C24—212no—
1297C24—224no—
1298C24—224no—
1299C24—212no—
1300C24—224no—
1301C24—224no—
1302C24—224no—
1303C24—224no—
1304C24—212no—
1305C24—224no—
1306C24—264no—
1307C24—264no—
1308C24—432no—
1309C24—432no—
1310C24—432no—
1311C24—432no—
1312C24—432no—
1313C24—4384no—
1314C24—4384no—
1315C24—416no—
1316C24—432no—
1317C24—416no—
1318C24—416no—
1319C24—416no—
1320C24—432no—
1321C24—416no—
1322C24—432no—
1323C24—416no—
1324C24—432no—
1325C24—416no—
1326C24—416no—
1327C24—432no—
1328C24—416no—
1329C24—432no—
1330C24—416no—
1331C24—432no—
1332C24—432no—
1333C24—432no—
1334C24—416no—
1335C24—432no—
1336C24—432no—
1337C24—416no—
1338C24—432no—
1339C24—432no—
1340C24—416no—
1341C24—432no—
1342C24—432no—
1343C24—432no—
1344C24—416no—
1345C24—416no—
1346C24—432no—
1347C24—432no—
1348C24—8192no—
1349C24—8192no—
1350C24—8192no—
1351C24—8192no—
1352C24—8192no—
1353C24—81024no—
1354C24C23×D4148yes—
1355C24C23×D4124yes—
1356C24C23×D414yes—
1357C24C22×#41124yes—
1358C24C22×#4114yes—
1359C24C2×H(5,𝔽2)14yes—
1360C24C2×H(5,𝔽2)14yes—
1361C24C2×H(5,𝔽2)14yes—
1362C24C2×H(5,𝔽2)14yes—
1363C24#58514yes—
1364C24C2618yes—
1365C24C2618yes—
1366C24C2614yes—
1367C24C2618yes—
1368C24C2614yes—
1369C24C2614yes—
1370C24C2613yes—
1371#41—41024no—
1372#41—42048no—
1373C2×Q8—232no—
1374C2×Q8—264no—
1375C2×Q8—232no—
1376C2×Q8—264no—
1377C2×Q8—416no—
1378C2×Q8—432no—
1379C2×Q8—4384no—
1380C2×Q8—4192no—
1381C2×D4—264no—
1382C2×D4—232no—
1383C2×D4—264no—
1384C2×D4—264no—
1385C2×D4—264no—
1386C2×D4—232no—
1387C2×D4—232no—
1388C2×D4—232no—
1389C2×D4—264no—
1390C2×D4—264no—
1391C2×D4—264no—
1392C2×D4—232no—
1393C2×D4—232no—
1394C2×D4—232no—
1395C2×D4—264no—
1396C2×D4—232no—
1397C2×D4—232no—
1398C2×D4—264no—
1399C2×D4—232no—
1400C2×D4—232no—
1401C2×D4—232no—
1402C2×D4—264no—
1403C2×D4—264no—
1404C2×D4—232no—
1405C2×D4—232no—
1406C2×D4—2384no—
1407C2×D4—41024no—
1408C2×D4—432no—
1409C2×D4—4384no—
1410C2×D4—432no—
1411C2×D4—432no—
1412C2×D4—416no—
1413C2×D4—432no—
1414C2×D4—416no—
1415C2×D4—432no—
1416C2×D4—416no—
1417C2×D4—432no—
1418C2×D4—432no—
1419C2×D4—4384no—
1420C2×D4—4384no—
1421C2×D4—4384no—
1422C2×D4—4192no—
1423C2×D4—4192no—
1424C2×D4—432no—
1425C2×D4—432no—
1426C2×D4—432no—
1427C2×D4—432no—
1428C2×D4—432no—
1429C2×D4—432no—
1430C2×D4—432no—
1431C2×D4—432no—
1432C2×D4—432no—
1433C2×D4—432no—
1434C2×D4—432no—
1435C2×D4—432no—
1436C2×D4—432no—
1437C2×D4—432no—
1438C2×D4—432no—
1439C2×D4—432no—
1440C2×D4—432no—
1441C2×D4—4192no—
1442C2×D4—4384no—
1443C2×D4—4192no—
1444C2×D4—4192no—
1445C2×D4—8192no—
1446C2×D4—8192no—
1447C2×D4—8192no—
1448C2×D4—8192no—
1449C2×D4—8192no—
1450C2×D4—8192no—
1451C2×D4—8192no—
1452C2×D4C23×D4164yes—
1453C2×D4C23×D41128yes—
1454C22×C4—2384no—
1455C22×C4—212no—
1456C22×C4—212no—
1457C22×C4—212no—
1458C22×C4—212no—
1459C22×C4—232no—
1460C22×C4—212no—
1461C22×C4—224no—
1462C22×C4—212no—
1463C22×C4—224no—
1464C22×C4—212no—
1465C22×C4—212no—
1466C22×C4—212no—
1467C22×C4—212no—
1468C22×C4—232no—
1469C22×C4—232no—
1470C22×C4—232no—
1471C22×C4—232no—
1472C22×C4—264no—
1473C22×C4—232no—
1474C22×C4—232no—
1475C22×C4—232no—
1476C22×C4—232no—
1477C22×C4—232no—
1478C22×C4—232no—
1479C22×C4—232no—
1480C22×C4—2384no—
1481C22×C4—2384no—
1482C22×C4—212no—
1483C22×C4—232no—
1484C22×C4—224no—
1485C22×C4—212no—
1486C22×C4—224no—
1487C22×C4—264no—
1488C22×C4—224no—
1489C22×C4—212no—
1490C22×C4—212no—
1491C22×C4—212no—
1492C22×C4—212no—
1493C22×C4—212no—
1494C22×C4—212no—
1495C22×C4—224no—
1496C22×C4—224no—
1497C22×C4—212no—
1498C22×C4—212no—
1499C22×C4—212no—
1500C22×C4—212no—
1501C22×C4—224no—
1502C22×C4—212no—
1503C22×C4—224no—
1504C22×C4—224no—
1505C22×C4—212no—
1506C22×C4—224no—
1507C22×C4—212no—
1508C22×C4—224no—
1509C22×C4—224no—
1510C22×C4—212no—
1511C22×C4—212no—
1512C22×C4—212no—
1513C22×C4—224no—
1514C22×C4—264no—
1515C22×C4—232no—
1516C22×C4—232no—
1517C22×C4—264no—
1518C22×C4—264no—
1519C22×C4—232no—
1520C22×C4—232no—
1521C22×C4—416no—
1522C22×C4—432no—
1523C22×C4—432no—
1524C22×C4—4384no—
1525C22×C4—432no—
1526C22×C4—432no—
1527C22×C4—432no—
1528C22×C4—4192no—
1529C22×C4—4384no—
1530C22×C4—416no—
1531C22×C4—432no—
1532C22×C4—416no—
1533C22×C4—432no—
1534C22×C4—432no—
1535C22×C4—416no—
1536C22×C4—416no—
1537C22×C4—416no—
1538C22×C4—432no—
1539C22×C4—416no—
1540C22×C4—4192no—
1541C22×C4—8192no—
1542C22×C4#546164yes—
1543C22×C4C23×D4124yes—
1544C22×C4C23×D4164yes—
1545C22×C4C23×D4148yes—
1546C22×C4C23×D4124yes—
1547C22×C4C22×#41124yes—
1548C22×C4C22×#41124yes—
1549C22×C4C22×#41164yescomplemented
1550C22×C4C2×H(5,𝔽2)124yes—
1551C22×C4C2×H(5,𝔽2)124yes—
1552C22×C4C2×H(5,𝔽2)124yes—
1553C22×C4C2×H(5,𝔽2)124yes—
1554C22×C4C2614yes—
1555C22×C4C2614yes—
1556C22×C4C2618yes—
1557C22×C4C2614yes—
1558C22×C4C2618yes—
1559C22×C4C2614yes—
1560C22×C4C2618yes—
1561C22×C4C2618yes—
1562C22×C4C2614yes—
1563C22×C4C2614yes—
1564C22×C4C2614yes—
1565C22×C4C2618yes—
1566C22×C4C2614yes—
1567C22×C4C2614yes—
1568C22×C4C2614yes—
1569C22×C4C2614yes—
1570C22×C4C2614yes—
1571C4⋊C4—232no—
1572C4⋊C4—264no—
1573C4⋊C4—232no—
1574C4⋊C4—232no—
1575C4⋊C4—232no—
1576C4⋊C4—264no—
1577C4⋊C4—416no—
1578C4⋊C4—416no—
1579C4⋊C4—432no—
1580C4⋊C4—432no—
1581C4⋊C4C23×D4164yes—
1582C22⋊C4—264no—
1583C22⋊C4—264no—
1584C22⋊C4—264no—
1585C22⋊C4—264no—
1586C22⋊C4—264no—
1587C22⋊C4—264no—
1588C22⋊C4—264no—
1589C22⋊C4—264no—
1590C22⋊C4—232no—
1591C22⋊C4—264no—
1592C22⋊C4—232no—
1593C22⋊C4—232no—
1594C22⋊C4—264no—
1595C22⋊C4—264no—
1596C22⋊C4—232no—
1597C22⋊C4—232no—
1598C22⋊C4—232no—
1599C22⋊C4—432no—
1600C22⋊C4—432no—
1601C22⋊C4—416no—
1602C22⋊C4—432no—
1603C22⋊C4—416no—
1604C22⋊C4—416no—
1605C22⋊C4—416no—
1606C22⋊C4—432no—
1607C22⋊C4—432no—
1608C22⋊C4—432no—
1609C22⋊C4—432no—
1610C22⋊C4—432no—
1611C22⋊C4—432no—
1612C22⋊C4—432no—
1613C22⋊C4—432no—
1614C22⋊C4—432no—
1615C22⋊C4C23×D41128yes—
1616C42—232no—
1617C42—232no—
1618C42—232no—
1619C42—232no—
1620C42—264no—
1621C42—232no—
1622C42—232no—
1623C42—432no—
1624C23—248no—
1625C23—296no—
1626C23—248no—
1627C23—296no—
1628C23—248no—
1629C23—24no—
1630C23—24no—
1631C23—28no—
1632C23—24no—
1633C23—24no—
1634C23—24no—
1635C23—24no—
1636C23—24no—
1637C23—28no—
1638C23—28no—
1639C23—28no—
1640C23—28no—
1641C23—24no—
1642C23—24no—
1643C23—24no—
1644C23—24no—
1645C23—24no—
1646C23—28no—
1647C23—248no—
1648C23—248no—
1649C23—248no—
1650C23—296no—
1651C23—28no—
1652C23—28no—
1653C23—24no—
1654C23—28no—
1655C23—24no—
1656C23—28no—
1657C23—24no—
1658C23—28no—
1659C23—28no—
1660C23—28no—
1661C23—24no—
1662C23—24no—
1663C23—28no—
1664C23—28no—
1665C23—24no—
1666C23—28no—
1667C23—28no—
1668C23—28no—
1669C23—28no—
1670C23—24no—
1671C23—28no—
1672C23—4128no—
1673C23—4128no—
1674C23—424no—
1675C23—448no—
1676C23—424no—
1677C23—448no—
1678C23—424no—
1679C23—424no—
1680C23—424no—
1681C23—424no—
1682C23—424no—
1683C23—448no—
1684C23—4128no—
1685C23—4256no—
1686C23—4128no—
1687C23—424no—
1688C23—448no—
1689C23—448no—
1690C23—448no—
1691C23—424no—
1692C23—424no—
1693C23—448no—
1694C23—448no—
1695C23—448no—
1696C23—424no—
1697C23—448no—
1698C23—448no—
1699C23—424no—
1700C23—448no—
1701C23—448no—
1702C23—424no—
1703C23—448no—
1704C23—448no—
1705C23—424no—
1706C23—448no—
1707C23—424no—
1708C23—448no—
1709C23—448no—
1710C23—864no—
1711C23—864no—
1712C23—864no—
1713C23—864no—
1714C23—864no—
1715C23—81536no—
1716C23—864no—
1717C23—8128no—
1718C23—8128no—
1719C23#3460116yes—
1720C23C2×#546116yes—
1721C23#3484116yes—
1722C23#3488116yes—
1723C23#3508116yes—
1724C23#3546116yes—
1725C23#3549116yes—
1726C23C24×D4116yes—
1727C23C24×D418yes—
1728C23C24×D416yes—
1729C23C23×#4118yes—
1730C23C23×#4116yes—
1731C23C22×H(5,𝔽2)16yes—
1732C23C22×H(5,𝔽2)16yes—
1733C23C22×H(5,𝔽2)16yes—
1734C23C22×H(5,𝔽2)16yes—
1735C23C2×#58516yes—
1736C23C2711yescharacteristic
1737Q8—464no—
1738Q8—4128no—
1739D4—2128no—
1740D4—4128no—
1741D4—4128no—
1742D4—4128no—
1743D4—464no—
1744D4—464no—
1745D4—4128no—
1746D4—464no—
1747D4—4128no—
1748D4—464no—
1749D4—464no—
1750D4—864no—
1751D4—864no—
1752D4—864no—
1753D4—864no—
1754D4—864no—
1755D4—864no—
1756D4—864no—
1757C2×C4—2128no—
1758C2×C4—248no—
1759C2×C4—248no—
1760C2×C4—296no—
1761C2×C4—248no—
1762C2×C4—24no—
1763C2×C4—24no—
1764C2×C4—24no—
1765C2×C4—24no—
1766C2×C4—24no—
1767C2×C4—28no—
1768C2×C4—24no—
1769C2×C4—28no—
1770C2×C4—24no—
1771C2×C4—24no—
1772C2×C4—24no—
1773C2×C4—24no—
1774C2×C4—248no—
1775C2×C4—248no—
1776C2×C4—2128no—
1777C2×C4—2128no—
1778C2×C4—24no—
1779C2×C4—28no—
1780C2×C4—24no—
1781C2×C4—28no—
1782C2×C4—28no—
1783C2×C4—24no—
1784C2×C4—24no—
1785C2×C4—24no—
1786C2×C4—24no—
1787C2×C4—24no—
1788C2×C4—24no—
1789C2×C4—28no—
1790C2×C4—28no—
1791C2×C4—24no—
1792C2×C4—24no—
1793C2×C4—24no—
1794C2×C4—24no—
1795C2×C4—28no—
1796C2×C4—24no—
1797C2×C4—28no—
1798C2×C4—28no—
1799C2×C4—24no—
1800C2×C4—24no—
1801C2×C4—28no—
1802C2×C4—28no—
1803C2×C4—28no—
1804C2×C4—24no—
1805C2×C4—24no—
1806C2×C4—24no—
1807C2×C4—28no—
1808C2×C4—4128no—
1809C2×C4—464no—
1810C2×C4—4128no—
1811C2×C4—424no—
1812C2×C4—424no—
1813C2×C4—424no—
1814C2×C4—448no—
1815C2×C4—424no—
1816C2×C4—448no—
1817C2×C4—424no—
1818C2×C4—448no—
1819C2×C4—448no—
1820C2×C4—424no—
1821C2×C4—464no—
1822C2×C4—864no—
1823C2×C4C2×#546196yes—
1824C2×C4C24×D418yes—
1825C2×C4C24×D4116yes—
1826C2×C4C24×D418yes—
1827C2×C4C23×#4118yes—
1828C2×C4C23×#4118yes—
1829C2×C4C22×H(5,𝔽2)18yes—
1830C2×C4C22×H(5,𝔽2)18yes—
1831C2×C4C22×H(5,𝔽2)18yes—
1832C2×C4C22×H(5,𝔽2)18yes—
1833C22—28no—
1834C22—28no—
1835C22—28no—
1836C22—216no—
1837C22—28no—
1838C22—216no—
1839C22—28no—
1840C22—216no—
1841C22—28no—
1842C22—44no—
1843C22—48no—
1844C22—44no—
1845C22—48no—
1846C22—44no—
1847C22—44no—
1848C22—44no—
1849C22—48no—
1850C22—496no—
1851C22—4192no—
1852C22—496no—
1853C22—44no—
1854C22—44no—
1855C22—44no—
1856C22—48no—
1857C22—48no—
1858C22—48no—
1859C22—44no—
1860C22—44no—
1861C22—48no—
1862C22—48no—
1863C22—48no—
1864C22—44no—
1865C22—48no—
1866C22—44no—
1867C22—48no—
1868C22—48no—
1869C22—48no—
1870C22—44no—
1871C22—48no—
1872C22—48no—
1873C22—44no—
1874C22—48no—
1875C22—48no—
1876C22—44no—
1877C22—48no—
1878C22—8256no—
1879C22—896no—
1880C22—848no—
1881C22—896no—
1882C22#37782164yesdirect product factor
1883C22C2×#3460112yes—
1884C22C22×#546112yes—
1885C22C2×#3546112yes—
1886C22C2×#3549112yes—
1887C22C2×#3484112yes—
1888C22C2×#3488112yes—
1889C22C2×#3508112yes—
1890C22C25×D411yescharacteristic
1891C22C24×#4111yescharacteristic
1892C22C23×H(5,𝔽2)11yescharacteristic
1893C22C23×H(5,𝔽2)11yescharacteristic
1894C22C23×H(5,𝔽2)11yescharacteristic
1895C22C23×H(5,𝔽2)11yescharacteristic
1896C22C22×#58511yescharacteristic
1897C4—28no—
1898C4—28no—
1899C4—28no—
1900C4—28no—
1901C4—216no—
1902C4—28no—
1903C4—44no—
1904C4—44no—
1905C4—44no—
1906C4—48no—
1907C4—44no—
1908C4—44no—
1909C4—48no—
1910C4—44no—
1911C4—48no—
1912C4—48no—
1913C4C22×#546116yes—
1914C2—48no—
1915C2—416no—
1916C2—48no—
1917C2—88no—
1918C2—84no—
1919C2—88no—
1920C2C2×#37782124yesdirect product factor
1921C2C22×#346011yescharacteristic
1922C2C23×#54611yescharacteristic
1923C2C22×#348411yescharacteristic
1924C2C22×#348811yescharacteristic
1925C2C22×#350811yescharacteristic
1926C2C22×#354611yescharacteristic
1927C2C22×#354911yescharacteristic
subgroupG/H
center, socleC25C25
commutator, Frattini, cosocleC23C27
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C23×#535C2semidirect
2. C23×#532C2semidirect
3. C2×#37782C2direct (N × H)
4. C22×#2712C2semidirect
5. C22×#2670C2semidirect
6. C22×#2673C2semidirect
7. C22×#2678C2semidirect
8. C22×#2854C2semidirect
9. C22×#2491C2semidirect
10. C22×#2404C2semidirect
11. C22×#2439C2semidirect
12. C22×#2431C2semidirect
13. C22×#2420C2semidirect
14. C22×#2428C2semidirect
15. C22×#2428C2semidirect
16. C22×#2433C2semidirect
17. C22×#2459C2semidirect
18. C22×#2424C2semidirect
19. C22×#2619C2semidirect
20. C22×#2615C2semidirect
21. C22×#2363C2semidirect
22. C22×D4×C22⋊C4C2semidirect
23. C22×#2324C2semidirect
24. C22×#2297C2semidirect
26. C24×#41C22semidirect
29. C22×#535C22semidirect
31. C22×#532C22semidirect
32. C23×C4⋊Q8C22semidirect
37. C23×#124C22semidirect
38. C23×#124C22semidirect
39. C23×#123C22semidirect
45. C23×#121C22semidirect
46. C23×#121C22semidirect
47. C23×#121C22semidirect
48. C23×#121C22semidirect
49. C23×#121C22semidirect
56. C23×C4×D4C22semidirect
57. C23×C4×D4C22semidirect
59. C23×#117C22semidirect
61. C24×C42C22semidirect
62. C2×#2712C22semidirect
63. C2×#2678C22semidirect
64. C2×#2673C22semidirect
65. C2×#2670C22semidirect
66. #37782C22direct (N × H)
67. C2×#2854C22semidirect
68. C2×#2491C22semidirect
69. C2×#2404C22semidirect
70. C2×#2439C22semidirect
71. C2×#2431C22semidirect
72. C2×#2420C22semidirect
73. C2×#2428C22semidirect
74. C2×#2428C22semidirect
75. C2×#2433C22semidirect
76. C2×#2459C22semidirect
77. C2×#2424C22semidirect
78. C2×#2619C22semidirect
79. C2×#2615C22semidirect
80. C22×#397C22semidirect
82. C22×#394C22semidirect
83. C22×#394C22semidirect
84. C22×#394C22semidirect
85. C22×#394C22semidirect
86. C22×#394C22semidirect
87. C22×#394C22semidirect
89. C22×#393C22semidirect
90. C22×#393C22semidirect
95. C22×#392C22semidirect
96. C22×#392C22semidirect
97. C22×#392C22semidirect
98. C22×#392C22semidirect
99. C22×#392C22semidirect
100. C2×#2363C22semidirect
101. C2×D4×C22⋊C4C22semidirect
102. C2×#2324C22semidirect
103. C2×#2297C22semidirect
104. C22×#391C22semidirect
105. C22×#391C22semidirect
106. C22×#391C22semidirect
114. C22×#390C22semidirect
115. C22×#390C22semidirect
116. C22×#389C22semidirect
117. C22×#389C22semidirect
118. C22×#389C22semidirect
119. C22×#388C22semidirect
120. C22×#388C22semidirect
121. C22×#388C22semidirect
122. C22×#388C22semidirect
123. C22×#388C22semidirect
124. C22×#387C22semidirect
130. C22×#386C22semidirect
131. C22×#386C22semidirect
132. C22×#386C22semidirect
133. C22×#386C22semidirect
134. C22×#386C22semidirect
135. C22×#386C22semidirect
136. C22×#386C22semidirect
137. C22×#385C22semidirect
138. C22×#382C22semidirect
139. C22×#381C22semidirect
141. C22×#380C22semidirect
142. C22×#380C22semidirect
144. C22×C4×C4⋊C4C22semidirect
147. C22×C4×C22⋊C4C22semidirect
148. C22×C4×C22⋊C4C22semidirect
149. C22×C4×C22⋊C4C22semidirect
158. C23×#41C23semidirect
192. C2×#535C23semidirect
194. C2×#532C23semidirect
196. C22×C4⋊Q8C23semidirect
207. C22×#124C23semidirect
208. C22×#124C23semidirect
210. C22×#123C23semidirect
220. C22×#121D4semidirect
226. C22×#121C23semidirect
227. C22×#121C23semidirect
228. C22×#121C23semidirect
229. C22×#121C23semidirect
230. C22×#121C23semidirect
245. C22×C4×D4C23semidirect
246. C22×C4×D4C23semidirect
250. C22×#117C23semidirect
307. C23×C42C23semidirect
308. #2854C23semidirect
309. #2712C23semidirect
310. #2678C23semidirect
311. #2673C23semidirect
312. #2670C23semidirect
313. #2619C23semidirect
314. #2615C23semidirect
315. #2491C23semidirect
316. #2459C23semidirect
317. #2439C23semidirect
318. #2433C23semidirect
319. #2431C23semidirect
320. #2428C23semidirect
321. #2428C23semidirect
322. #2424C23semidirect
323. #2420C23semidirect
324. #2404C23semidirect
325. C2×#397C23semidirect
327. C2×#394C23semidirect
328. C2×#394C23semidirect
329. C2×#394C23semidirect
330. C2×#394C23semidirect
331. C2×#394C23semidirect
332. C2×#394C23semidirect
334. C2×#393C23semidirect
335. C2×#393C23semidirect
340. C2×#392C23semidirect
341. C2×#392C23semidirect
342. C2×#392C23semidirect
343. C2×#392C23semidirect
344. C2×#392C23semidirect
345. #2363C23semidirect
346. D4×C22⋊C4C23semidirect
347. #2324C23semidirect
348. #2297C23semidirect
349. C2×#391C23semidirect
350. C2×#391C23semidirect
351. C2×#391C23semidirect
359. C2×#390C23semidirect
360. C2×#390C23semidirect
361. C2×#389C23semidirect
362. C2×#389C23semidirect
363. C2×#389C23semidirect
364. C2×#388C23semidirect
365. C2×#388C23semidirect
366. C2×#388C23semidirect
367. C2×#388C23semidirect
368. C2×#388C23semidirect
369. C2×#387C23semidirect
375. C2×#386C23semidirect
376. C2×#386C23semidirect
377. C2×#386C23semidirect
378. C2×#386C23semidirect
379. C2×#386C23semidirect
380. C2×#386C23semidirect
381. C2×#386C23semidirect
382. C2×#385C23semidirect
383. C2×#382C23semidirect
384. C2×#381C23semidirect
386. C2×#380C23semidirect
387. C2×#380C23semidirect
389. C2×C4×C4⋊C4C23semidirect
392. C2×C4×C22⋊C4C23semidirect
393. C2×C4×C22⋊C4C23semidirect
394. C2×C4×C22⋊C4C23semidirect
435. C22×#41C24semidirect
544. C24×C4#41semidirect
573. C2×C4⋊Q8C24semidirect
584. C2×#124C24semidirect
585. C2×#124C24semidirect
587. C2×#123C24semidirect
597. C2×#121C2×D4semidirect
603. C2×#121C24semidirect
604. C2×#121C24semidirect
605. C2×#121C24semidirect
606. C2×#121C24semidirect
607. C2×#121C24semidirect
622. C2×C4×D4C24semidirect
623. C2×C4×D4C24semidirect
627. C2×#117C24semidirect
737. C22×C42C24semidirect
738. #397C24semidirect
740. #394C24semidirect
741. #394C24semidirect
742. #394C24semidirect
743. #394C24semidirect
744. #394C24semidirect
745. #394C24semidirect
747. #393C24semidirect
748. #393C24semidirect
753. #392C24semidirect
754. #392C24semidirect
755. #392C24semidirect
756. #392C24semidirect
757. #392C24semidirect
758. #391C24semidirect
759. #391C24semidirect
760. #391C24semidirect
768. #390C24semidirect
769. #390C24semidirect
770. #389C24semidirect
771. #389C24semidirect
772. #389C24semidirect
773. #388C24semidirect
774. #388C24semidirect
775. #388C24semidirect
776. #388C24semidirect
777. #388C24semidirect
778. #387C24semidirect
784. #386C24semidirect
785. #386C24semidirect
786. #386C24semidirect
787. #386C24semidirect
788. #386C24semidirect
789. #386C24semidirect
790. #386C24semidirect
791. #385C24semidirect
792. #382C24semidirect
793. #381C24semidirect
795. #380C24semidirect
796. #380C24semidirect
798. C4×C4⋊C4C24semidirect
801. C4×C22⋊C4C24semidirect
802. C4×C22⋊C4C24semidirect
803. C4×C22⋊C4C24semidirect
1075. C23×C4C2×#41semidirect
1122. #121C22×D4semidirect
1549. C22×C4C22×#41semidirect
1882. C22#37782direct (N × H)
1920. C2C2×#37782direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#5352
C23×#5322
C2×#377822
C22×#27122
C22×#26702
C22×#26732
C22×#26782
C22×#28542
C22×#24912
C22×#24042
C22×#24392
C22×#24312
C22×#24202
C22×#24282
C22×#24332
C22×#24592
C22×#24242
C22×#26192
C22×#26152
C22×#23632
C22×D4×C22⋊C42
C22×#23242
C22×#22972