Finite Group Databasebeta

← #11904632

Subgroups — #11904632

Order 1152.

3530 conjugacy classes of subgroups.

The subgroup lattice has 1697 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#237C211yesmaximal, characteristic, complemented
2C2×#64314C211yesmaximal, characteristic, complemented
3D4×#638C211yesmaximal, characteristic, complemented
4C3×D4×#67C211yesmaximal, characteristic, complemented
5#10595526C212yesmaximal, complemented
6#672C212yesmaximal, complemented
7C2×#63978C212yesmaximal, complemented
8#10595498C212yesmaximal, complemented
9#10595305C212yesmaximal, complemented
10#10595304C212yesmaximal, complemented
11#10595303C211yesmaximal, characteristic, complemented
12#10595254C211yesmaximal, characteristic, complemented
13#10595244C211yesmaximal, characteristic, complemented
14#10595238C212yesmaximal, complemented
15#10595236C211yesmaximal, characteristic, complemented
16#10595232C211yesmaximal, characteristic, complemented
17#10595222C211yesmaximal, characteristic, complemented
18#10595158C211yesmaximal, characteristic, complemented
19#10595156C212yesmaximal, complemented
20D3×#930C211yesmaximal, characteristic, complemented
21#10595002C211yesmaximal, characteristic, complemented
22#10594902C211yesmaximal, characteristic, complemented
23#10594900C211yesmaximal, characteristic, complemented
24#87275—31nomaximal
25#86607—31nomaximal
26C22×C32×D4C2211yescharacteristic, complemented
27C22×#638C2212yescomplemented
28C2×D4×C3⋊D3C2211yescharacteristic, complemented
29C22×C3×#67C2212yescomplemented
30C22×C3×#67C2212yescomplemented
31C23×C3×Dic3C2212yescomplemented
32C2×C3×#237—28no—
33C2×C3×#237C2211yescharacteristic
34C2×C3×#237C2212yescomplemented
35C2×C3×#237C2211yescharacteristic, complemented
36C2×C3×#237C2211yescharacteristic, complemented
37C2×C3×#237C2211yescharacteristic, complemented
38C2×C3×#237C2212yescomplemented
39C2×C3×D3×D4C2211yescharacteristic, complemented
40C22×C3×C4×D3C2211yescharacteristic, complemented
41C22×C3×Dic6C2211yescharacteristic, complemented
42C2×#3811C2212yescomplemented
43C2×D3×#67C2212yescomplemented
44C2×D3×#67C2212yescomplemented
45C22×#626C2212yescomplemented
46C2×#3804C2212yescomplemented
47#64314—28no—
48C2×D3×D12C2211yescharacteristic, complemented
49C2×#3799C2211yescharacteristic, complemented
50C2×#3798C2211yescharacteristic, complemented
51C2×#3796C2211yescharacteristic, complemented
52#64162C2212yescomplemented
53#64149C2211yescharacteristic, complemented
54#64148C2212yescomplemented
55#64147C2211yescharacteristic, complemented
56#64146C2212yescomplemented
57D4×C3⋊Dic3C2211yescharacteristic, complemented
58#64139C2211yescharacteristic, complemented
59C4×#638C2211yescharacteristic, complemented
60C3×#953C2212yescomplemented
61C3×#940C2211yescharacteristic, complemented
62C3×#939C2212yescomplemented
63C3×#938C2211yescharacteristic, complemented
64C3×#937C2212yescomplemented
65C3×D4×Dic3C2211yescharacteristic, complemented
66C3×#930C2211yescharacteristic, complemented
67C3×C4×#67C2211yescharacteristic, complemented
68#63983C2212yescomplemented
69#63983C2212yescomplemented
70#63981C2212yescomplemented
71#63980C2212yescomplemented
72#63979C2212yescomplemented
73#63979C2212yescomplemented
74#63978C2212yescomplemented
75#63978C2212yescomplemented
76#63978C2212yescomplemented
77#63978C2212yescomplemented
78#63978C2212yescomplemented
79#63978C2212yescomplemented
80#63978C2212yescomplemented
81#63978C2212yescomplemented
82#63978C2212yescomplemented
83#63978C2211yescharacteristic, complemented
84#63977C2211yescharacteristic, complemented
85#63976C2212yescomplemented
86#63976C2211yescharacteristic, complemented
87#67⋊Dic3C2212yescomplemented
88Dic3×#67C2212yescomplemented
89Dic3×#67C2212yescomplemented
90Dic3×#67C2212yescomplemented
91#63971C2212yescomplemented
92#63970C2212yescomplemented
93#63970C2212yescomplemented
94#63966C2212yescomplemented
95C2×Dic3⋊Dic3C2212yescomplemented
96#63964C2212yescomplemented
97#63964C2211yescharacteristic, complemented
98C2×#3722C2212yescomplemented
99#63961C2212yescomplemented
100C2×(C2×D3)⋊Dic3C2212yescomplemented
101#63958C2212yescomplemented
102#63955C2212yescomplemented
103#63952C2212yescomplemented
104#63952C2212yescomplemented
105D3×(C2×D3)⋊C4C2212yescomplemented
106#63909C2211yescharacteristic, complemented
107#63908C2211yescharacteristic, complemented
108#63907C2212yescomplemented
109#63907C2212yescomplemented
110#63906C2212yescomplemented
111#63906C2211yescharacteristic, complemented
112#63905C2211yescharacteristic, complemented
113C4×#626C2211yescharacteristic, complemented
114C4×#625C2211yescharacteristic, complemented
115D3×C4⋊Dic3C2211yescharacteristic, complemented
116#63888C2212yescomplemented
117#63887C2212yescomplemented
118#63871C2211yescharacteristic, complemented
119#63864C2211yescharacteristic, complemented
120#63863C2211yescharacteristic, complemented
121#63856C2211yescharacteristic, complemented
122#63855C2211yescharacteristic, complemented
123#63851C2211yescharacteristic, complemented
124#63850C2211yescharacteristic, complemented
125#63843C2211yescharacteristic, complemented
126Dic3×Dic6C2211yescharacteristic, complemented
127C22×C3×#41—31no—
128C2×#1009—31no—
129C2×#1004—31no—
130C22×#237D311yescharacteristic, complemented
131C3×D42—31no—
132#5834—31no—
133#5834—31no—
134#5833—32no—
135#5833—31no—
136#5830—31no—
137#5830—32no—
138#5829—31no—
139#5829—32no—
140#5829—32no—
141#5829—31no—
142#5827—31no—
143#5817—31no—
144#5817—31no—
145#5806—31no—
146C2×#939—32no—
147D4×#67—31no—
148D4×#67—31no—
149D4×#67—32no—
150D4×#67—32no—
151D4×#67—32no—
152D4×#67—61no—
153D4×#67D311yescharacteristic, complemented
154#5791—32no—
155#5791—31no—
156C2×#930—32no—
157C2×#930—31no—
158#5718—31no—
159#5715—31no—
160#5610—32no—
161#5608—31no—
162D3×#121—31no—
163#5599—31no—
164#5598—31no—
165#5597—32no—
166#5592—32no—
167#5591—32no—
168#5590—32no—
169#5586—32no—
170#5554—31no—
171#5552—31no—
172#5547—31no—
173#5546—31no—
174C24×C32C2312yes—
175C23×C3⋊D3C2312yes—
176C23×C3×D3C2311yescharacteristic
177C23×C3×D3C2312yes—
178C22×D32C2312yes—
179C2×C32×D4—24no—
180C2×C32×D4C2312yes—
181C2×C32×D4C2311yescharacteristic
182C2×C32×D4C2311yescharacteristic
183C22×C32×C4C2311yescharacteristic
184C2×#638—44no—
185C2×#638C2312yes—
186C2×#638C2312yes—
187C2×#638C2311yescharacteristic
188C2×#638C2312yes—
189C2×#638C2312yes—
190C2×#638C2312yes—
191C22×C3⋊Dic3C2312yes—
192D4×C3⋊D3—24no—
193C2×C4⋊(C3⋊D3)C2311yescharacteristic
194C2×C4×C3⋊D3C2311yescharacteristic
195C2×C3×#67—28no—
196C2×C3×#67—44no—
197C2×C3×#67C2311yescharacteristic
198C2×C3×#67C2312yes—
199C2×C3×#67C2312yes—
200C2×C3×#67C2312yes—
201C2×C3×#67C2312yes—
202C2×C3×#67C2312yes—
203C2×C3×#67C2312yes—
204C2×C3×#67C2312yes—
205C2×C3×#67C2312yes—
206C2×C3×#67C2312yes—
207C22×C3×Dic3—28no—
208C22×C3×Dic3C2312yes—
209C22×C3×Dic3C2311yescharacteristic
210C22×C3×Dic3C2312yes—
211C22×C3×Dic3C2312yes—
212C22×C3×Dic3C2312yes—
213C22×C3×Dic3C2312yes—
214C22×C3×Dic3C2312yes—
215C3×#237—24no—
216C3×#237—28no—
217C3×#237—28no—
218C3×#237—24no—
219C3×#237—24no—
220C3×#237D418yescomplemented
221C3×D3×D4—24no—
222C2×C3×D12C2311yescharacteristic
223C2×C3×C4×D3—24no—
224C2×C3×C4×D3C2311yescharacteristic
225C2×C3×C4×D3C2311yescharacteristic
226C2×C3×C4×D3C2311yescharacteristic
227C2×C3×C4×D3C2311yescharacteristic
228C2×C3×C4×D3C2311yescharacteristic
229C2×C3×Dic6—24no—
230C2×C3×Dic6C2311yescharacteristic
231C2×C3×Dic6C2312yes—
232C2×C3×Dic6C2311yescharacteristic
233#3811—28no—
234D3×#67—28no—
235D3×#67—44no—
236C2×#627C2311yescharacteristic
237C2×#626—28no—
238C2×#626C2312yes—
239C2×#626C2311yescharacteristic
240C2×#626C2311yescharacteristic
241C2×#626C2312yes—
242C2×#626C2312yes—
243C2×#626C2312yes—
244C2×#626C2311yescharacteristic
245C2×#625C2311yescharacteristic
246C2×#625C2312yes—
247C2×#625C2311yescharacteristic
248C2×#624C2312yes—
249#3804—28no—
250C2×D3×Dic3C2312yes—
251C2×D3×Dic3C2312yes—
252D3×D12—24no—
253#3799—24no—
254#3798—24no—
255#3796—24no—
256#3757C2311yescharacteristic
257#3757C2312yes—
258#3757C2312yes—
259#3752C2311yescharacteristic
260#3752C2312yes—
261C4⋊(C3⋊Dic3)C2311yescharacteristic
262#3750C2311yescharacteristic
263C4×C3⋊Dic3C2311yescharacteristic
264C3×#217C2311yescharacteristic
265C3×#217C2312yes—
266C3×#217C2312yes—
267C3×(C2×D3)⋊C4C2311yescharacteristic
268C3×(C2×D3)⋊C4C2312yes—
269C3×C4⋊Dic3C2311yescharacteristic
270C3×Dic3⋊C4C2311yescharacteristic
271C3×C4×Dic3C2311yescharacteristic
272#3724C2311yescharacteristic
273#3724C2312yes—
274Dic3⋊Dic3C2312yes—
275Dic3⋊Dic3C2312yes—
276Dic3⋊Dic3C2311yescharacteristic
277Dic3⋊Dic3C2311yescharacteristic
278Dic3⋊Dic3C2312yes—
279Dic3⋊Dic3C2312yes—
280Dic3⋊Dic3C2311yescharacteristic
281#3722C2311yescharacteristic
282#3722C2312yes—
283#3722C2312yes—
284#3722C2312yes—
285#3722C2312yes—
286(C2×D3)⋊Dic3C2311yescharacteristic
287(C2×D3)⋊Dic3C2311yescharacteristic
288(C2×D3)⋊Dic3C2311yescharacteristic
289(C2×D3)⋊Dic3C2311yescharacteristic
290(C2×D3)⋊Dic3C2312yes—
291(C2×D3)⋊Dic3C2312yes—
292(C2×D3)⋊Dic3C2312yes—
293(C2×D3)⋊Dic3C2311yescharacteristic
294(C2×D3)⋊Dic3C2312yes—
295Dic32C2312yes—
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—31no—
299C2×C3×#41—31no—
300C2×C3×#41—32no—
301C2×C3×#41—32no—
302C2×C3×#41—31no—
303C2×C3×#41—31no—
304C2×C3×#41—68no—
305C22×C3×Q8—31no—
306C22×C3×D4—21no—
307C22×C3×D4—32no—
308C22×C3×D4—32no—
309C22×C3×D4—31no—
310C22×C3×D4C2×D311yescharacteristic, complemented
311C22×C3×D4C2×D311yescharacteristic, complemented
312C23×C3×C4—32no—
313C23×C3×C4—31no—
314C22×#67—32no—
315C22×#67—32no—
316C22×#67—32no—
317C22×#67—32no—
318C22×#67—32no—
319C22×#67—62no—
320C22×#67C2×D312yescomplemented
321C22×#67C2×D312yescomplemented
322C23×Dic3C2×D312yescomplemented
323#1009—68no—
324C2×#239—31no—
325C2×#239—31no—
326#1004—68no—
327C2×#237—28no—
328C2×#237—32no—
329C2×#237—31no—
330C2×#237C2×D311yescharacteristic
331C2×#237C2×D311yescharacteristic, complemented
332C2×#237C2×D311yescharacteristic, complemented
333C2×#237C2×D311yescharacteristic, complemented
334C2×#237C2×D312yescomplemented
335C2×#237C2×D312yescomplemented
336C2×D3×D4—32no—
337C2×D3×D4—31no—
338C2×D3×D4—31no—
339C2×D3×D4—32no—
340C2×D3×D4—32no—
341C2×D3×D4—32no—
342C2×D3×D4—31no—
343C2×D3×D4—61no—
344C2×D3×D4C2×D311yescharacteristic, complemented
345C2×#235—32no—
346C2×#235—31no—
347C2×#235—31no—
348C2×#235—31no—
349C22×D12—32no—
350C22×D12—31no—
351C22×C4×D3C2×D311yescharacteristic, complemented
352C22×Dic6C2×D311yescharacteristic, complemented
353C3×#127—31no—
354C3×#121—31no—
355C3×#121—32no—
356C3×#121—31no—
357C3×#120—32no—
358C3×#120—32no—
359C3×C4×D4—31no—
360C3×C4×D4—31no—
361#953—32no—
362#953—32no—
363#953—31no—
364#953—32no—
365#953—31no—
366#953—62no—
367#953C2×D312yescomplemented
368C2×#217—32no—
369#947—31no—
370#947—32no—
371#947—32no—
372#947—31no—
373#946—31no—
374#946—32no—
375#946—31no—
376#946—32no—
377Q8×Dic3—31no—
378Q8×Dic3—31no—
379#940—31no—
380#940—31no—
381#940—32no—
382#940—32no—
383#940—32no—
384#940—32no—
385#940—61no—
386#940C2×D311yescharacteristic, complemented
387#939—32no—
388#939—32no—
389#939—32no—
390#939—32no—
391#939—32no—
392#939—32no—
393#939—32no—
394#939—32no—
395#939—32no—
396#939—32no—
397#939—32no—
398#939—31no—
399#939—32no—
400#939—32no—
401#939—32no—
402#939—32no—
403#939—32no—
404#939—62no—
405#939C2×D312yescomplemented
406#938—31no—
407#938—31no—
408#938—32no—
409#938—32no—
410#938—31no—
411#938—32no—
412#938—61no—
413#938C2×D311yescharacteristic, complemented
414#937—31no—
415#937—32no—
416#937—32no—
417#937—32no—
418#937—32no—
419#937—32no—
420#937—32no—
421#937—32no—
422#937—32no—
423#937—62no—
424#937C2×D312yescomplemented
425#936—31no—
426#935—32no—
427D4×Dic3—31no—
428D4×Dic3—31no—
429D4×Dic3—32no—
430D4×Dic3—32no—
431D4×Dic3—32no—
432D4×Dic3—32no—
433D4×Dic3—61no—
434D4×Dic3C2×D311yescharacteristic, complemented
435#930—31no—
436#930—31no—
437#930—32no—
438#930—31no—
439#930—32no—
440#930—32no—
441#930—32no—
442#930—32no—
443#930—32no—
444#930—32no—
445#930—32no—
446#930—32no—
447#930—31no—
448#930—32no—
449#930—31no—
450#930—31no—
451#930—61no—
452#930C2×D311yescharacteristic, complemented
453#929—32no—
454#929—32no—
455#929—31no—
456#929—31no—
457C4×#67—31no—
458C4×#67—31no—
459C4×#67—32no—
460C4×#67—32no—
461C4×#67—32no—
462C4×#67—31no—
463C4×#67—31no—
464C4×#67—32no—
465C4×#67—32no—
466C4×#67—31no—
467C4×#67—61no—
468C4×#67C2×D311yescharacteristic, complemented
469C2×(C2×D3)⋊C4—32no—
470C2×(C2×D3)⋊C4—32no—
471C2×(C2×D3)⋊C4—32no—
472C2×(C2×D3)⋊C4—32no—
473#926—32no—
474#926—31no—
475C2×C4⋊Dic3—32no—
476C2×C4⋊Dic3—31no—
477#924—31no—
478#924—31no—
479#924—32no—
480#924—31no—
481C2×Dic3⋊C4—32no—
482#897—31no—
483#896—31no—
484#896—32no—
485#895—31no—
486#894—31no—
487D3×C4⋊C4—31no—
488#887—31no—
489#886—32no—
490#885—32no—
491#885—32no—
492#884—32no—
493#884—32no—
494#884—31no—
495#884—32no—
496#883—31no—
497#882—31no—
498#882—32no—
499#67⋊C4—32no—
500#67⋊C4—32no—
501#67⋊C4—32no—
502D3×C22⋊C4—32no—
503#878—31no—
504#878—32no—
505#878—32no—
506#877—32no—
507#875—31no—
508C4×D12—31no—
509#872—31no—
510C4×Dic6—31no—
511C23×C32—24no—
512C23×C32—24no—
513C23×C32—42no—
514C23×C32C2412yes—
515C23×C32C2412yes—
516C23×C32C2411yescharacteristic
517C22×C3⋊D3—24no—
518C22×C3⋊D3—42no—
519C22×C3⋊D3—42no—
520C22×C3⋊D3C2412yes—
521C22×C3⋊D3C2411yescharacteristic
522C22×C3×D3—22no—
523C22×C3×D3—24no—
524C22×C3×D3—22no—
525C22×C3×D3—41no—
526C22×C3×D3—42no—
527C22×C3×D3—42no—
528C22×C3×D3C2412yes—
529C22×C3×D3C2411yescharacteristic
530C22×C3×D3C2411yescharacteristic
531C22×C3×D3C2411yescharacteristic
532C2×D32—24no—
533C2×D32—42no—
534C2×D32—42no—
535C32×D4—24no—
536C32×D4—22no—
537C32×D4C2×D414yescomplemented
538C2×C32×C4—22no—
539C2×C32×C4C2411yescharacteristic
540C2×C32×C4C2411yescharacteristic
541#638—22no—
542#638—24no—
543#638—24no—
544#638—42no—
545#638—42no—
546#638—42no—
547C2×C3⋊Dic3—42no—
548C2×C3⋊Dic3C2411yescharacteristic
549C2×C3⋊Dic3C2412yes—
550C2×C3⋊Dic3C2411yescharacteristic
551C2×C3⋊Dic3C2411yescharacteristic
552C4⋊(C3⋊D3)—22no—
553C4×C3⋊D3—22no—
554C3×#67—24no—
555C3×#67—24no—
556C3×#67—24no—
557C3×#67—22no—
558C3×#67—24no—
559C3×#67—24no—
560C3×#67—42no—
561C3×#67—42no—
562C3×#67—42no—
563C3×#67C2×D418yescomplemented
564C2×C3×Dic3—24no—
565C2×C3×Dic3—24no—
566C2×C3×Dic3—22no—
567C2×C3×Dic3—24no—
568C2×C3×Dic3—24no—
569C2×C3×Dic3—42no—
570C2×C3×Dic3C2×D418yescomplemented
571C2×C3×Dic3C2411yescharacteristic
572C2×C3×Dic3C2412yes—
573C2×C3×Dic3C2412yes—
574C2×C3×Dic3C2411yescharacteristic
575C2×C3×Dic3C2411yescharacteristic
576C2×C3×Dic3C2411yescharacteristic
577C2×C3×Dic3C2412yes—
578C2×C3×Dic3C2411yescharacteristic
579C3×D12—22no—
580C3×C4×D3—22no—
581C3×C4×D3—22no—
582C3×C4×D3—22no—
583C3×C4×D3—22no—
584C3×C4×D3C2×D414yescomplemented
585C3×Dic6—22no—
586C3×Dic6—24no—
587C3×Dic6C2×D414yescomplemented
588#627—22no—
589#626—22no—
590#626—24no—
591#626—22no—
592#626—24no—
593#626—24no—
594#626—41no—
595#626—42no—
596#625—22no—
597#625—41no—
598#625—42no—
599#624—24no—
600D3×Dic3—24no—
601D3×Dic3—42no—
602C2×H(5,𝔽2)—91no—
603C22×#41—31no—
604#550—91no—
605#550—91no—
606#548—91no—
607#548—91no—
608#546—91no—
609#546—92no—
610#546—92no—
611#546—91no—
612D42—31no—
613D42—92no—
614D42—92no—
615D42—91no—
616#537—92no—
617#537—91no—
618#535—92no—
619#535—91no—
620#525—91no—
621#525—92no—
622C2×#121—91no—
623C2×#121—92no—
624#520—91no—
625C24×C3—22no—
626C24×C3—31no—
627C24×C3—32no—
628C24×C3C22×D312yes—
629C24×C3C22×D312yes—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3—32no—
634C23×D3—62no—
635C23×D3C22×D311yescharacteristic
636C23×D3C22×D312yes—
637C3×#41—38no—
638C3×#41—68no—
639C3×#41—64no—
640C3×#41—68no—
641C3×#41—64no—
642C3×#41—64no—
643C2×C3×Q8—31no—
644C2×C3×Q8—32no—
645C2×C3×Q8—31no—
646C2×C3×Q8—64no—
647C2×C3×D4—24no—
648C2×C3×D4—24no—
649C2×C3×D4—21no—
650C2×C3×D4—22no—
651C2×C3×D4—21no—
652C2×C3×D4—32no—
653C2×C3×D4—32no—
654C2×C3×D4—32no—
655C2×C3×D4—32no—
656C2×C3×D4—32no—
657C2×C3×D4—31no—
658C2×C3×D4—32no—
659C2×C3×D4—32no—
660C2×C3×D4—32no—
661C2×C3×D4—32no—
662C2×C3×D4—31no—
663C2×C3×D4—44no—
664C2×C3×D4—68no—
665C2×C3×D4—64no—
666C2×C3×D4—124no—
667C2×C3×D4C22×D312yes—
668C2×C3×D4C22×D312yes—
669C2×C3×D4C22×D311yescharacteristic
670C2×C3×D4C22×D311yescharacteristic
671C2×C3×D4C22×D311yescharacteristic
672C2×C3×D4C22×D311yescharacteristic
673C22×C3×C4—21no—
674C22×C3×C4—32no—
675C22×C3×C4—31no—
676C22×C3×C4—31no—
677C22×C3×C4—32no—
678C22×C3×C4—32no—
679C22×C3×C4—32no—
680C22×C3×C4—32no—
681C22×C3×C4—32no—
682C22×C3×C4—31no—
683C22×C3×C4—31no—
684C22×C3×C4—31no—
685C22×C3×C4—31no—
686C22×C3×C4—64no—
687C22×C3×C4—68no—
688C22×C3×C4C22×D311yescharacteristic
689C22×C3×C4C22×D311yescharacteristic
690C2×#67—28no—
691C2×#67—32no—
692C2×#67—31no—
693C2×#67—32no—
694C2×#67—31no—
695C2×#67—32no—
696C2×#67—32no—
697C2×#67—31no—
698C2×#67—31no—
699C2×#67—32no—
700C2×#67—32no—
701C2×#67—32no—
702C2×#67—32no—
703C2×#67—32no—
704C2×#67—32no—
705C2×#67—31no—
706C2×#67—32no—
707C2×#67—31no—
708C2×#67—32no—
709C2×#67—31no—
710C2×#67—32no—
711C2×#67—32no—
712C2×#67—32no—
713C2×#67—31no—
714C2×#67—31no—
715C2×#67—32no—
716C2×#67—44no—
717C2×#67—61no—
718C2×#67—62no—
719C2×#67—62no—
720C2×#67—62no—
721C2×#67—62no—
722C2×#67—62no—
723C2×#67—68no—
724C2×#67—68no—
725C2×#67—124no—
726C2×#67—124no—
727C2×#67—124no—
728C2×#67—128no—
729C2×#67C22×D312yes—
730C2×#67C22×D312yes—
731C2×#67C22×D312yes—
732C2×#67C22×D312yes—
733C2×#67C22×D311yescharacteristic
734C2×#67C22×D312yes—
735C2×#67C22×D312yes—
736C2×#67C22×D312yes—
737C2×#67C22×D312yes—
738C2×#67C22×D312yes—
739C22×Dic3—28no—
740C22×Dic3—32no—
741C22×Dic3—32no—
742C22×Dic3—32no—
743C22×Dic3—32no—
744C22×Dic3—62no—
745C22×Dic3C22×D311yescharacteristic
746C22×Dic3C22×D312yes—
747C22×Dic3C22×D312yes—
748C22×Dic3C22×D312yes—
749C22×Dic3C22×D312yes—
750C22×Dic3C22×D312yes—
751C22×Dic3C22×D312yes—
752#239—64no—
753#239—64no—
754#237—24no—
755#237—28no—
756#237—28no—
757#237—24no—
758#237—24no—
759#237—68no—
760#237—64no—
761#237#6718yescomplemented
762D3×D4—24no—
763D3×D4—68no—
764D3×D4—68no—
765D3×D4—64no—
766D3×D4—64no—
767D3×D4—68no—
768D3×D4—64no—
769D3×D4—124no—
770D3×D4—124no—
771#235—64no—
772#235—68no—
773#235—64no—
774#235—64no—
775C2×D12—31no—
776C2×D12—32no—
777C2×D12—31no—
778C2×D12—32no—
779C2×D12—32no—
780C2×D12—31no—
781C2×D12—31no—
782C2×D12—31no—
783C2×D12—32no—
784C2×D12—61no—
785C2×D12—64no—
786C2×D12—68no—
787C2×D12C22×D311yescharacteristic
788C2×C4×D3—24no—
789C2×C4×D3—32no—
790C2×C4×D3—31no—
791C2×C4×D3—31no—
792C2×C4×D3—32no—
793C2×C4×D3—32no—
794C2×C4×D3—32no—
795C2×C4×D3—61no—
796C2×C4×D3C22×D311yescharacteristic
797C2×C4×D3C22×D311yescharacteristic
798C2×C4×D3C22×D311yescharacteristic
799C2×C4×D3C22×D311yescharacteristic
800C2×C4×D3C22×D311yescharacteristic
801C2×Dic6—24no—
802C2×Dic6—31no—
803C2×Dic6—31no—
804C2×Dic6C22×D311yescharacteristic
805C2×Dic6C22×D312yes—
806C2×Dic6C22×D311yescharacteristic
807C3×C4⋊C4—31no—
808C3×C4⋊C4—31no—
809C3×C22⋊C4—32no—
810C3×C22⋊C4—31no—
811C3×C22⋊C4—32no—
812C3×C22⋊C4—32no—
813C3×C22⋊C4—31no—
814C3×C42—31no—
815#217—32no—
816#217—31no—
817#217—32no—
818#217—31no—
819#217—32no—
820#217—32no—
821#217—32no—
822#217—32no—
823#217—31no—
824#217—32no—
825#217—32no—
826#217—31no—
827#217—31no—
828#217—31no—
829#217—31no—
830#217—61no—
831#217—62no—
832#217—62no—
833#217C22×D311yescharacteristic
834#217C22×D312yes—
835#217C22×D312yes—
836(C2×D3)⋊C4—31no—
837(C2×D3)⋊C4—31no—
838(C2×D3)⋊C4—31no—
839(C2×D3)⋊C4—31no—
840(C2×D3)⋊C4—32no—
841(C2×D3)⋊C4—31no—
842(C2×D3)⋊C4—32no—
843(C2×D3)⋊C4—32no—
844(C2×D3)⋊C4—32no—
845(C2×D3)⋊C4—32no—
846(C2×D3)⋊C4—31no—
847(C2×D3)⋊C4—32no—
848(C2×D3)⋊C4—31no—
849(C2×D3)⋊C4—31no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—32no—
852(C2×D3)⋊C4—32no—
853(C2×D3)⋊C4—32no—
854(C2×D3)⋊C4—32no—
855(C2×D3)⋊C4—31no—
856(C2×D3)⋊C4—32no—
857(C2×D3)⋊C4—32no—
858(C2×D3)⋊C4—32no—
859(C2×D3)⋊C4—61no—
860(C2×D3)⋊C4—62no—
861(C2×D3)⋊C4C22×D312yes—
862(C2×D3)⋊C4C22×D311yescharacteristic
863C4⋊Dic3—31no—
864C4⋊Dic3—31no—
865C4⋊Dic3—31no—
866C4⋊Dic3—32no—
867C4⋊Dic3—32no—
868C4⋊Dic3—31no—
869C4⋊Dic3—31no—
870C4⋊Dic3—32no—
871C4⋊Dic3—32no—
872C4⋊Dic3—61no—
873C4⋊Dic3C22×D311yescharacteristic
874Dic3⋊C4—31no—
875Dic3⋊C4—31no—
876Dic3⋊C4—32no—
877Dic3⋊C4—31no—
878Dic3⋊C4—31no—
879Dic3⋊C4—32no—
880Dic3⋊C4—31no—
881Dic3⋊C4—32no—
882Dic3⋊C4—32no—
883Dic3⋊C4—31no—
884Dic3⋊C4—32no—
885Dic3⋊C4—31no—
886Dic3⋊C4—32no—
887Dic3⋊C4—61no—
888Dic3⋊C4C22×D311yescharacteristic
889C4×Dic3—31no—
890C4×Dic3—31no—
891C4×Dic3—32no—
892C4×Dic3—32no—
893C4×Dic3—32no—
894C4×Dic3—32no—
895C4×Dic3—61no—
896C4×Dic3C22×D311yescharacteristic
897C22×C32—21no—
898C22×C32—22no—
899C22×C32—22no—
900C22×C32—21no—
901C22×C32—22no—
902C22×C32—22no—
903C22×C32—22no—
904C22×C32—48no—
905C22×C32C22×D414yes—
906C22×C32H(5,𝔽2)12yescomplemented
907C22×C32C2511yescharacteristic
908C2×C3⋊D3—21no—
909C2×C3⋊D3—22no—
910C2×C3⋊D3—21no—
911C2×C3⋊D3—22no—
912C2×C3⋊D3—21no—
913C2×C3⋊D3—22no—
914C2×C3⋊D3—84no—
915C2×C3×D3—21no—
916C2×C3×D3—21no—
917C2×C3×D3—22no—
918C2×C3×D3—21no—
919C2×C3×D3—21no—
920C2×C3×D3—21no—
921C2×C3×D3—22no—
922C2×C3×D3—21no—
923C2×C3×D3—21no—
924C2×C3×D3—21no—
925C2×C3×D3—22no—
926C2×C3×D3—44no—
927C2×C3×D3—84no—
928C2×C3×D3C22×D412yes—
929D32—84no—
930C32×C4—21no—
931C32×C4C22×D412yes—
932C3⋊Dic3—21no—
933C3⋊Dic3—21no—
934C3⋊Dic3—22no—
935C3⋊Dic3—21no—
936C3×Dic3—21no—
937C3×Dic3—22no—
938C3×Dic3—21no—
939C3×Dic3—22no—
940C3×Dic3—21no—
941C3×Dic3—21no—
942C3×Dic3C22×D414yes—
943C3×Dic3C22×D412yes—
944H(5,𝔽2)—188no—
945C2×#41—31no—
946C2×#41—32no—
947C2×#41—31no—
948C2×#41—31no—
949C2×#41—32no—
950C2×#41—31no—
951C2×#41—68no—
952C2×#41—91no—
953C2×#41—92no—
954C2×#41—91no—
955C2×#41—91no—
956C22×Q8—31no—
957C22×D4—32no—
958C22×D4—32no—
959C22×D4—31no—
960C22×D4—91no—
961C22×D4—92no—
962C22×D4—92no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—92no—
966C22×D4—91no—
967C22×D4D3211yescharacteristic, complemented
968C23×C4—32no—
969C23×C4—31no—
970#127—31no—
971#127—92no—
972#127—92no—
973#127—91no—
974#124—91no—
975#124—92no—
976#124—92no—
977#124—91no—
978#123—91no—
979#123—92no—
980#123—91no—
981#123—92no—
982C22⋊Q8—91no—
983C22⋊Q8—92no—
984C22⋊Q8—92no—
985C22⋊Q8—91no—
986C22⋊Q8—92no—
987C22⋊Q8—91no—
988C22⋊Q8—91no—
989#121—32no—
990#121—31no—
991#121—31no—
992#121—92no—
993#121—91no—
994#121—92no—
995#121—92no—
996#121—91no—
997#121—91no—
998#121—92no—
999#121—92no—
1000#121—92no—
1001#121—92no—
1002#121—92no—
1003#121—91no—
1004#121—92no—
1005#121—92no—
1006#121—92no—
1007#121—92no—
1008#121—92no—
1009#121—92no—
1010#121—92no—
1011#121—92no—
1012#121—91no—
1013#121—91no—
1014#120—32no—
1015#120—32no—
1016#120—92no—
1017#120—91no—
1018#120—92no—
1019#120—92no—
1020#120—91no—
1021#120—92no—
1022#120—92no—
1023#120—92no—
1024C4×Q8—91no—
1025C4×Q8—91no—
1026C4×D4—31no—
1027C4×D4—31no—
1028C4×D4—91no—
1029C4×D4—92no—
1030C4×D4—92no—
1031C4×D4—92no—
1032C4×D4—91no—
1033C4×D4—92no—
1034C4×D4—92no—
1035C4×D4—92no—
1036C4×D4—91no—
1037C4×D4—91no—
1038#117—91no—
1039#117—92no—
1040C2×C4⋊C4—91no—
1041C2×C4⋊C4—92no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C2×C22⋊C4—92no—
1045C23×C3—24no—
1046C23×C3—24no—
1047C23×C3—24no—
1048C23×C3—24no—
1049C23×C3—22no—
1050C23×C3—21no—
1051C23×C3—22no—
1052C23×C3—31no—
1053C23×C3—32no—
1054C23×C3—31no—
1055C23×C3—31no—
1056C23×C3—44no—
1057C23×C3—44no—
1058C23×C3—42no—
1059C23×C3—42no—
1060C23×C3—62no—
1061C23×C3—62no—
1062C23×C3—64no—
1063C23×C3—82no—
1064C23×C3—121no—
1065C23×C3—122no—
1066C23×C3—122no—
1067C23×C3C23×D312yes—
1068C23×C3C23×D312yes—
1069C23×C3C23×D312yes—
1070C23×C3C23×D311yescharacteristic
1071C23×C3C23×D311yescharacteristic
1072C23×C3C23×D312yes—
1073C22×D3—22no—
1074C22×D3—24no—
1075C22×D3—22no—
1076C22×D3—32no—
1077C22×D3—31no—
1078C22×D3—32no—
1079C22×D3—31no—
1080C22×D3—41no—
1081C22×D3—42no—
1082C22×D3—42no—
1083C22×D3—61no—
1084C22×D3—62no—
1085C22×D3—64no—
1086C22×D3—64no—
1087C22×D3—64no—
1088C22×D3—64no—
1089C22×D3—124no—
1090C22×D3—122no—
1091C22×D3—122no—
1092C22×D3—122no—
1093C22×D3—122no—
1094C22×D3—122no—
1095C22×D3—122no—
1096C22×D3—122no—
1097C22×D3—122no—
1098C22×D3—124no—
1099C22×D3—242no—
1100C22×D3C23×D312yes—
1101C22×D3C23×D311yescharacteristic
1102C22×D3C23×D311yescharacteristic
1103C22×D3C23×D311yescharacteristic
1104C3×Q8—34no—
1105C3×Q8—64no—
1106C3×Q8—62no—
1107C3×D4—24no—
1108C3×D4—24no—
1109C3×D4—22no—
1110C3×D4—22no—
1111C3×D4—24no—
1112C3×D4—38no—
1113C3×D4—42no—
1114C3×D4—44no—
1115C3×D4—64no—
1116C3×D4—64no—
1117C3×D4—64no—
1118C3×D4—64no—
1119C3×D4—62no—
1120C3×D4—64no—
1121C3×D4—62no—
1122C3×D4—122no—
1123C3×D4—122no—
1124C3×D4—122no—
1125C3×D4D3×D414yescomplemented
1126C3×D4C2×#6714yescomplemented
1127C2×C3×C4—22no—
1128C2×C3×C4—22no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—38no—
1132C2×C3×C4—32no—
1133C2×C3×C4—31no—
1134C2×C3×C4—34no—
1135C2×C3×C4—31no—
1136C2×C3×C4—32no—
1137C2×C3×C4—31no—
1138C2×C3×C4—31no—
1139C2×C3×C4—31no—
1140C2×C3×C4—32no—
1141C2×C3×C4—42no—
1142C2×C3×C4—62no—
1143C2×C3×C4—62no—
1144C2×C3×C4—62no—
1145C2×C3×C4—64no—
1146C2×C3×C4—64no—
1147C2×C3×C4—64no—
1148C2×C3×C4—64no—
1149C2×C3×C4—62no—
1150C2×C3×C4—62no—
1151C2×C3×C4—122no—
1152C2×C3×C4C23×D311yescharacteristic
1153C2×C3×C4C23×D311yescharacteristic
1154C2×C3×C4C23×D311yescharacteristic
1155C2×C3×C4C23×D311yescharacteristic
1156#67—24no—
1157#67—22no—
1158#67—24no—
1159#67—24no—
1160#67—24no—
1161#67—24no—
1162#67—42no—
1163#67—42no—
1164#67—42no—
1165#67—62no—
1166#67—62no—
1167#67—64no—
1168#67—64no—
1169#67—62no—
1170#67—64no—
1171#67—64no—
1172#67—62no—
1173#67—64no—
1174#67—62no—
1175#67—64no—
1176#67—62no—
1177#67—64no—
1178#67—64no—
1179#67—124no—
1180#67—124no—
1181#67—121no—
1182#67—122no—
1183#67—122no—
1184#67—121no—
1185#67—121no—
1186#67—122no—
1187#67—122no—
1188#67—122no—
1189#67—122no—
1190#67—122no—
1191#67—122no—
1192#67—122no—
1193#67—124no—
1194#67—124no—
1195#67—242no—
1196#67C2×#6718yescomplemented
1197C2×Dic3—24no—
1198C2×Dic3—24no—
1199C2×Dic3—22no—
1200C2×Dic3—24no—
1201C2×Dic3—24no—
1202C2×Dic3—31no—
1203C2×Dic3—31no—
1204C2×Dic3—31no—
1205C2×Dic3—32no—
1206C2×Dic3—32no—
1207C2×Dic3—31no—
1208C2×Dic3—31no—
1209C2×Dic3—31no—
1210C2×Dic3—42no—
1211C2×Dic3—61no—
1212C2×Dic3—61no—
1213C2×Dic3—61no—
1214C2×Dic3—62no—
1215C2×Dic3—64no—
1216C2×Dic3—122no—
1217C2×Dic3—122no—
1218C2×Dic3—122no—
1219C2×Dic3—124no—
1220C2×Dic3C2×#6718yescomplemented
1221C2×Dic3C23×D311yescharacteristic
1222C2×Dic3C23×D312yes—
1223C2×Dic3C23×D311yescharacteristic
1224C2×Dic3C23×D311yescharacteristic
1225C2×Dic3C23×D312yes—
1226C2×Dic3C23×D311yescharacteristic
1227C2×Dic3C23×D312yes—
1228C2×Dic3C23×D311yescharacteristic
1229D12—22no—
1230D12—62no—
1231D12—64no—
1232D12—64no—
1233D12—64no—
1234D12—62no—
1235D12—62no—
1236D12—62no—
1237D12—122no—
1238D12—121no—
1239D12—122no—
1240C4×D3—22no—
1241C4×D3—22no—
1242C4×D3—22no—
1243C4×D3—22no—
1244C4×D3—64no—
1245C4×D3—64no—
1246C4×D3—62no—
1247C4×D3—62no—
1248C4×D3—64no—
1249C4×D3—122no—
1250C4×D3—122no—
1251C4×D3C2×#6714yescomplemented
1252Dic6—22no—
1253Dic6—24no—
1254Dic6—62no—
1255Dic6—62no—
1256Dic6C2×#6714yescomplemented
1257C2×C32—22no—
1258C2×C32—24no—
1259C2×C32—42no—
1260C2×C32C23×D411yescharacteristic
1261C2×C32C2×H(5,𝔽2)11yescharacteristic
1262C2×C32#58511yescharacteristic
1263C3⋊D3—41no—
1264C3⋊D3—42no—
1265C3×D3—22no—
1266C3×D3—42no—
1267C3×D3—41no—
1268C3×D3—41no—
1269C24—31no—
1270C24—32no—
1271C24—92no—
1272C24—92no—
1273C24C2×D3212yes—
1274#41—38no—
1275#41—68no—
1276#41—64no—
1277#41—68no—
1278#41—64no—
1279#41—64no—
1280#41—184no—
1281#41—188no—
1282#41—184no—
1283#41—184no—
1284C2×Q8—31no—
1285C2×Q8—32no—
1286C2×Q8—31no—
1287C2×Q8—64no—
1288C2×Q8—91no—
1289C2×D4—24no—
1290C2×D4—32no—
1291C2×D4—31no—
1292C2×D4—32no—
1293C2×D4—32no—
1294C2×D4—32no—
1295C2×D4—32no—
1296C2×D4—32no—
1297C2×D4—32no—
1298C2×D4—32no—
1299C2×D4—32no—
1300C2×D4—31no—
1301C2×D4—68no—
1302C2×D4—64no—
1303C2×D4—91no—
1304C2×D4—91no—
1305C2×D4—92no—
1306C2×D4—92no—
1307C2×D4—92no—
1308C2×D4—91no—
1309C2×D4—92no—
1310C2×D4—91no—
1311C2×D4—91no—
1312C2×D4—92no—
1313C2×D4—92no—
1314C2×D4—91no—
1315C2×D4—92no—
1316C2×D4—92no—
1317C2×D4—92no—
1318C2×D4—92no—
1319C2×D4—91no—
1320C2×D4—124no—
1321C2×D4—184no—
1322C2×D4—188no—
1323C2×D4—188no—
1324C2×D4—188no—
1325C2×D4—184no—
1326C2×D4—364no—
1327C2×D4—364no—
1328C2×D4C2×D3212yes—
1329C2×D4C2×D3211yescharacteristic
1330C2×D4C2×D3211yescharacteristic
1331C22×C4—32no—
1332C22×C4—31no—
1333C22×C4—32no—
1334C22×C4—32no—
1335C22×C4—32no—
1336C22×C4—31no—
1337C22×C4—32no—
1338C22×C4—32no—
1339C22×C4—31no—
1340C22×C4—31no—
1341C22×C4—31no—
1342C22×C4—31no—
1343C22×C4—64no—
1344C22×C4—68no—
1345C22×C4—92no—
1346C22×C4—92no—
1347C22×C4—92no—
1348C22×C4—92no—
1349C22×C4—91no—
1350C22×C4C2×D3211yescharacteristic
1351C4⋊C4—31no—
1352C4⋊C4—31no—
1353C4⋊C4—91no—
1354C4⋊C4—92no—
1355C4⋊C4—92no—
1356C4⋊C4—92no—
1357C4⋊C4—91no—
1358C4⋊C4—91no—
1359C4⋊C4—91no—
1360C4⋊C4—92no—
1361C4⋊C4—92no—
1362C4⋊C4—91no—
1363C4⋊C4—91no—
1364C22⋊C4—32no—
1365C22⋊C4—31no—
1366C22⋊C4—32no—
1367C22⋊C4—32no—
1368C22⋊C4—31no—
1369C22⋊C4—91no—
1370C22⋊C4—92no—
1371C22⋊C4—92no—
1372C22⋊C4—92no—
1373C22⋊C4—92no—
1374C22⋊C4—91no—
1375C22⋊C4—92no—
1376C22⋊C4—92no—
1377C22⋊C4—92no—
1378C22⋊C4—91no—
1379C22⋊C4—91no—
1380C22⋊C4—92no—
1381C22⋊C4—91no—
1382C22⋊C4—91no—
1383C22⋊C4—92no—
1384C22⋊C4—91no—
1385C22⋊C4—92no—
1386C22⋊C4—92no—
1387C22⋊C4—91no—
1388C42—31no—
1389C42—92no—
1390C42—92no—
1391C42—91no—
1392C22×C3—21no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—21no—
1396C22×C3—22no—
1397C22×C3—22no—
1398C22×C3—21no—
1399C22×C3—21no—
1400C22×C3—22no—
1401C22×C3—22no—
1402C22×C3—22no—
1403C22×C3—22no—
1404C22×C3—22no—
1405C22×C3—22no—
1406C22×C3—22no—
1407C22×C3—24no—
1408C22×C3—21no—
1409C22×C3—32no—
1410C22×C3—42no—
1411C22×C3—41no—
1412C22×C3—42no—
1413C22×C3—41no—
1414C22×C3—42no—
1415C22×C3—42no—
1416C22×C3—42no—
1417C22×C3—48no—
1418C22×C3—48no—
1419C22×C3—61no—
1420C22×C3—61no—
1421C22×C3—61no—
1422C22×C3—61no—
1423C22×C3—62no—
1424C22×C3—61no—
1425C22×C3—61no—
1426C22×C3—62no—
1427C22×C3—61no—
1428C22×C3—62no—
1429C22×C3—61no—
1430C22×C3—88no—
1431C22×C3—124no—
1432C22×C3—244no—
1433C22×C3C2×D3×D414yes—
1434C22×C3#100412yescomplemented
1435C22×C3#100912yescomplemented
1436C22×C3C22×#6714yes—
1437C22×C3C24×D311yescharacteristic
1438C22×C3C24×D311yescharacteristic
1439C2×D3—21no—
1440C2×D3—21no—
1441C2×D3—21no—
1442C2×D3—22no—
1443C2×D3—21no—
1444C2×D3—22no—
1445C2×D3—21no—
1446C2×D3—21no—
1447C2×D3—22no—
1448C2×D3—21no—
1449C2×D3—21no—
1450C2×D3—44no—
1451C2×D3—62no—
1452C2×D3—62no—
1453C2×D3—61no—
1454C2×D3—61no—
1455C2×D3—62no—
1456C2×D3—62no—
1457C2×D3—61no—
1458C2×D3—61no—
1459C2×D3—62no—
1460C2×D3—61no—
1461C2×D3—62no—
1462C2×D3—61no—
1463C2×D3—62no—
1464C2×D3—84no—
1465C2×D3—121no—
1466C2×D3—121no—
1467C2×D3—122no—
1468C2×D3—122no—
1469C2×D3—122no—
1470C2×D3—244no—
1471C2×D3—244no—
1472C2×D3—244no—
1473C2×D3—244no—
1474C2×D3—248no—
1475C2×D3C22×#6712yes—
1476C3×C4—21no—
1477C3×C4—21no—
1478C3×C4—22no—
1479C3×C4—32no—
1480C3×C4—34no—
1481C3×C4—41no—
1482C3×C4—61no—
1483C3×C4—62no—
1484C3×C4—62no—
1485C3×C4—61no—
1486C3×C4—61no—
1487C3×C4—61no—
1488C3×C4C2×D3×D412yes—
1489C3×C4C22×#6712yes—
1490Dic3—21no—
1491Dic3—21no—
1492Dic3—22no—
1493Dic3—21no—
1494Dic3—22no—
1495Dic3—21no—
1496Dic3—62no—
1497Dic3—61no—
1498Dic3—61no—
1499Dic3—62no—
1500Dic3—62no—
1501Dic3—61no—
1502Dic3—61no—
1503Dic3—61no—
1504Dic3—61no—
1505Dic3—121no—
1506Dic3—122no—
1507Dic3—121no—
1508Dic3C22×#6714yes—
1509Dic3C22×#6712yes—
1510C32#348811yescharacteristic, complemented, Sylow
1511C23—24no—
1512C23—24no—
1513C23—31no—
1514C23—31no—
1515C23—32no—
1516C23—31no—
1517C23—42no—
1518C23—62no—
1519C23—62no—
1520C23—64no—
1521C23—91no—
1522C23—92no—
1523C23—121no—
1524C23—122no—
1525C23—122no—
1526C23—184no—
1527C23—184no—
1528C23—362no—
1529C23—362no—
1530C23—362no—
1531C23—362no—
1532C23C22×D3212yes—
1533C23C22×D3211yescharacteristic
1534C23C22×D3212yes—
1535Q8—34no—
1536Q8—64no—
1537Q8—62no—
1538Q8—182no—
1539D4—24no—
1540D4—22no—
1541D4—38no—
1542D4—64no—
1543D4—64no—
1544D4—62no—
1545D4—64no—
1546D4—64no—
1547D4—64no—
1548D4—62no—
1549D4—122no—
1550D4—122no—
1551D4—122no—
1552D4—182no—
1553D4—184no—
1554D4—184no—
1555D4—184no—
1556D4—182no—
1557D4—182no—
1558D4—182no—
1559D4—184no—
1560D4—184no—
1561D4—182no—
1562D4—362no—
1563D4—361no—
1564D4—362no—
1565D4—362no—
1566D4—362no—
1567D4—362no—
1568D4—361no—
1569D4D3×#6714yescomplemented
1570C2×C4—22no—
1571C2×C4—38no—
1572C2×C4—32no—
1573C2×C4—31no—
1574C2×C4—34no—
1575C2×C4—31no—
1576C2×C4—31no—
1577C2×C4—32no—
1578C2×C4—31no—
1579C2×C4—31no—
1580C2×C4—32no—
1581C2×C4—62no—
1582C2×C4—62no—
1583C2×C4—62no—
1584C2×C4—64no—
1585C2×C4—64no—
1586C2×C4—64no—
1587C2×C4—64no—
1588C2×C4—62no—
1589C2×C4—62no—
1590C2×C4—91no—
1591C2×C4—91no—
1592C2×C4—92no—
1593C2×C4—91no—
1594C2×C4—122no—
1595C2×C4—184no—
1596C2×C4—184no—
1597C2×C4—182no—
1598C2×C4—362no—
1599C2×C4—362no—
1600C2×C4C22×D3211yescharacteristic
1601C2×C4C22×D3211yescharacteristic
1602C2×C3—24no—
1603C2×C3—22no—
1604C2×C3—22no—
1605C2×C3—24no—
1606C2×C3—21no—
1607C2×C3—21no—
1608C2×C3—21no—
1609C2×C3—44no—
1610C2×C3—42no—
1611C2×C3—42no—
1612C2×C3—42no—
1613C2×C3—62no—
1614C2×C3—82no—
1615C2×C3—121no—
1616C2×C3—122no—
1617C2×C3—121no—
1618C2×C3C22×D3×D411yescharacteristic
1619C2×C3C2×#100411yescharacteristic
1620C2×C3C2×#100911yescharacteristic
1621C2×C3#596411yescharacteristic
1622C2×C3#596611yescharacteristic
1623C2×C3C23×#6711yescharacteristic
1624D3—22no—
1625D3—41no—
1626D3—42no—
1627D3—41no—
1628D3—122no—
1629D3—121no—
1630D3—122no—
1631D3—121no—
1632D3—122no—
1633D3—242no—
1634C22—22no—
1635C22—21no—
1636C22—22no—
1637C22—21no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—32no—
1642C22—48no—
1643C22—61no—
1644C22—61no—
1645C22—61no—
1646C22—62no—
1647C22—61no—
1648C22—62no—
1649C22—61no—
1650C22—61no—
1651C22—61no—
1652C22—61no—
1653C22—62no—
1654C22—124no—
1655C22—181no—
1656C22—182no—
1657C22—181no—
1658C22—182no—
1659C22—181no—
1660C22—182no—
1661C22—244no—
1662C22—724no—
1663C22—724no—
1664C22#6431412yescomplemented
1665C22C2×D3×#6714yes—
1666C22C23×D3211yescharacteristic
1667C4—21no—
1668C4—32no—
1669C4—34no—
1670C4—61no—
1671C4—62no—
1672C4—61no—
1673C4—61no—
1674C4—62no—
1675C4—61no—
1676C4—181no—
1677C4—182no—
1678C4—181no—
1679C4—181no—
1680C4C2×D3×#6712yes—
1681C3—21no—
1682C3#8660711yescharacteristic, complemented
1683C3#8727511yescharacteristic, complemented
1684C2—22no—
1685C2—24no—
1686C2—42no—
1687C2—62no—
1688C2—121no—
1689C2—121no—
1690C2—122no—
1691C2—361no—
1692C2—362no—
1693C2C2×#6431411yescharacteristic
1694C2#1059667811yescharacteristic
1695C2C22×D3×#6711yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC22×C32×D4C22
hypercenterC22×D4D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×C3×#237C2semidirect
2. C2×#64314C2semidirect
3. D4×#638C2semidirect
4. C3×D4×#67C2semidirect
5. #10595526C2semidirect
6. #672C2semidirect
7. C2×#63978C2semidirect
8. #10595498C2semidirect
9. #10595305C2semidirect
10. #10595304C2semidirect
11. #10595303C2semidirect
12. #10595254C2semidirect
13. #10595244C2semidirect
14. #10595238C2semidirect
15. #10595236C2semidirect
16. #10595232C2semidirect
17. #10595222C2semidirect
18. #10595158C2semidirect
19. #10595156C2semidirect
20. D3×#930C2semidirect
21. #10595002C2semidirect
22. #10594902C2semidirect
23. #10594900C2semidirect
26. C22×C32×D4C22semidirect
27. C22×#638C22semidirect
28. C2×D4×C3⋊D3C22semidirect
29. C22×C3×#67C22semidirect
30. C22×C3×#67C22semidirect
31. C23×C3×Dic3C22semidirect
34. C2×C3×#237C22semidirect
35. C2×C3×#237C22semidirect
36. C2×C3×#237C22semidirect
37. C2×C3×#237C22semidirect
38. C2×C3×#237C22semidirect
39. C2×C3×D3×D4C22semidirect
40. C22×C3×C4×D3C22semidirect
41. C22×C3×Dic6C22semidirect
42. C2×#3811C22semidirect
43. C2×D3×#67C22semidirect
44. C2×D3×#67C22semidirect
45. C22×#626C22semidirect
46. C2×#3804C22semidirect
48. C2×D3×D12C22semidirect
49. C2×#3799C22semidirect
50. C2×#3798C22semidirect
51. C2×#3796C22semidirect
52. #64162C22semidirect
53. #64149C22semidirect
54. #64148C22semidirect
55. #64147C22semidirect
56. #64146C22semidirect
57. D4×C3⋊Dic3C22semidirect
58. #64139C22semidirect
59. C4×#638C22semidirect
60. C3×#953C22semidirect
61. C3×#940C22semidirect
62. C3×#939C22semidirect
63. C3×#938C22semidirect
64. C3×#937C22semidirect
65. C3×D4×Dic3C22semidirect
66. C3×#930C22semidirect
67. C3×C4×#67C22semidirect
68. #63983C22semidirect
69. #63983C22semidirect
70. #63981C22semidirect
71. #63980C22semidirect
72. #63979C22semidirect
73. #63979C22semidirect
74. #63978C22semidirect
75. #63978C22semidirect
76. #63978C22semidirect
77. #63978C22semidirect
78. #63978C22semidirect
79. #63978C22semidirect
80. #63978C22semidirect
81. #63978C22semidirect
82. #63978C22semidirect
83. #63978C22semidirect
84. #63977C22semidirect
85. #63976C22semidirect
86. #63976C22semidirect
87. #67⋊Dic3C22semidirect
88. Dic3×#67C22semidirect
89. Dic3×#67C22semidirect
90. Dic3×#67C22semidirect
91. #63971C22semidirect
92. #63970C22semidirect
93. #63970C22semidirect
94. #63966C22semidirect
95. C2×Dic3⋊Dic3C22semidirect
96. #63964C22semidirect
97. #63964C22semidirect
98. C2×#3722C22semidirect
99. #63961C22semidirect
100. C2×(C2×D3)⋊Dic3C22semidirect
101. #63958C22semidirect
102. #63955C22semidirect
103. #63952C22semidirect
104. #63952C22semidirect
105. D3×(C2×D3)⋊C4C22semidirect
106. #63909C22semidirect
107. #63908C22semidirect
108. #63907C22semidirect
109. #63907C22semidirect
110. #63906C22semidirect
111. #63906C22semidirect
112. #63905C22semidirect
113. C4×#626C22semidirect
114. C4×#625C22semidirect
115. D3×C4⋊Dic3C22semidirect
116. #63888C22semidirect
117. #63887C22semidirect
118. #63871C22semidirect
119. #63864C22semidirect
120. #63863C22semidirect
121. #63856C22semidirect
122. #63855C22semidirect
123. #63851C22semidirect
124. #63850C22semidirect
125. #63843C22semidirect
126. Dic3×Dic6C22semidirect
130. C22×#237D3semidirect
153. D4×#67D3semidirect
220. C3×#237D4semidirect
310. C22×C3×D4C2×D3semidirect
311. C22×C3×D4C2×D3semidirect
320. C22×#67C2×D3semidirect
321. C22×#67C2×D3semidirect
322. C23×Dic3C2×D3semidirect
331. C2×#237C2×D3semidirect
332. C2×#237C2×D3semidirect
333. C2×#237C2×D3semidirect
334. C2×#237C2×D3semidirect
335. C2×#237C2×D3semidirect
344. C2×D3×D4C2×D3semidirect
351. C22×C4×D3C2×D3semidirect
352. C22×Dic6C2×D3semidirect
367. #953C2×D3semidirect
386. #940C2×D3semidirect
405. #939C2×D3semidirect
413. #938C2×D3semidirect
424. #937C2×D3semidirect
434. D4×Dic3C2×D3semidirect
452. #930C2×D3semidirect
468. C4×#67C2×D3semidirect
537. C32×D4C2×D4semidirect
563. C3×#67C2×D4semidirect
570. C2×C3×Dic3C2×D4semidirect
584. C3×C4×D3C2×D4semidirect
587. C3×Dic6C2×D4semidirect
761. #237#67semidirect
906. C22×C32H(5,𝔽2)semidirect
967. C22×D4D32semidirect
1125. C3×D4D3×D4semidirect
1126. C3×D4C2×#67semidirect
1196. #67C2×#67semidirect
1220. C2×Dic3C2×#67semidirect
1251. C4×D3C2×#67semidirect
1256. Dic6C2×#67semidirect
1434. C22×C3#1004semidirect
1435. C22×C3#1009semidirect
1510. C32#3488semidirect
1569. D4D3×#67semidirect
1664. C22#64314semidirect
1682. C3#86607semidirect
1683. C3#87275semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#2372
C2×#643142
D4×#6382
C3×D4×#672
#105955262
#6722
C2×#639782
#105954982
#105953052
#105953042
#105953032
#105952542
#105952442
#105952382
#105952362
#105952322
#105952222
#105951582
#105951562
D3×#9302
#105950022
#105949022
#105949002
#872753
#866073