Finite Group Databasebeta

← #11904627

Subgroups — #11904627

Order 1152.

3765 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64361C211yesmaximal, characteristic, complemented
2C2×D3×#237C211yesmaximal, characteristic, complemented
3C3×#5806C211yesmaximal, characteristic, complemented
4C3×D4×#67C211yesmaximal, characteristic, complemented
5#10595526C212yesmaximal, complemented
6#10595502C212yesmaximal, complemented
7#10595500C212yesmaximal, complemented
8C2×#63971C212yesmaximal, complemented
9#10595292C212yesmaximal, complemented
10#10595282C211yesmaximal, characteristic, complemented
11#10595254C211yesmaximal, characteristic, complemented
12D4×#626C211yesmaximal, characteristic, complemented
13#10595219C211yesmaximal, characteristic, complemented
14#10595168C211yesmaximal, characteristic, complemented
15#10595166C212yesmaximal, complemented
16#10595164C211yesmaximal, characteristic, complemented
17#10595163C212yesmaximal, complemented
18#10595161C211yesmaximal, characteristic, complemented
19#10595160C212yesmaximal, complemented
20#10595076C211yesmaximal, characteristic, complemented
21#10594923C211yesmaximal, characteristic, complemented
22#10594919C211yesmaximal, characteristic, complemented
23#10594916C211yesmaximal, characteristic, complemented
24#86629—31nomaximal
25#86607—31nomaximal
26C22×C32×D4C2211yescharacteristic, complemented
27C22×#638C2212yescomplemented
28C22×#638C2212yescomplemented
29#64361—28no—
30C2×#3830C2211yescharacteristic
31C2×#3830C2212yescomplemented
32C2×#3830C2211yescharacteristic, complemented
33C2×D4×C3⋊D3C2212yescomplemented
34C2×D4×C3⋊D3C2211yescharacteristic, complemented
35C2×D4×C3⋊D3C2211yescharacteristic, complemented
36C2×#3828C2211yescharacteristic, complemented
37C2×#3828C2211yescharacteristic, complemented
38C22×C3×#67C2212yescomplemented
39C2×C3×#237C2211yescharacteristic, complemented
40C2×C3×D3×D4C2211yescharacteristic, complemented
41C2×#3811C2212yescomplemented
42C2×D3×#67C2212yescomplemented
43C22×#626C2212yescomplemented
44C2×#3805C2212yescomplemented
45C2×#3804C2212yescomplemented
46C22×D3×Dic3C2212yescomplemented
47D3×#237—28no—
48C2×C4×D32C2211yescharacteristic, complemented
49C2×#3796C2211yescharacteristic, complemented
50C2×#3795C2211yescharacteristic, complemented
51C2×D3×Dic6C2211yescharacteristic, complemented
52C3×#953C2212yescomplemented
53C3×#953C2212yescomplemented
54C2×C3×#217C2212yescomplemented
55C3×#940C2211yescharacteristic, complemented
56C3×#939C2212yescomplemented
57C3×#939C2212yescomplemented
58C3×#938C2211yescharacteristic, complemented
59C3×#938C2211yescharacteristic, complemented
60C3×#937C2212yescomplemented
61C3×#936C2211yescharacteristic, complemented
62C3×#935C2212yescomplemented
63C3×D4×Dic3C2211yescharacteristic, complemented
64C3×D4×Dic3C2211yescharacteristic, complemented
65C3×#930C2211yescharacteristic, complemented
66C3×C4×#67C2211yescharacteristic, complemented
67C3×C4×#67C2211yescharacteristic, complemented
68C3×#924C2211yescharacteristic, complemented
69#63983C2211yescharacteristic, complemented
70#63982C2212yescomplemented
71#63981C2212yescomplemented
72#63981C2212yescomplemented
73#63981C2212yescomplemented
74#63981C2212yescomplemented
75#63980C2212yescomplemented
76#63979C2212yescomplemented
77#63979C2212yescomplemented
78#63978C2212yescomplemented
79#63978C2212yescomplemented
80#63977C2212yescomplemented
81#63975C2211yescharacteristic, complemented
82#63974C2212yescomplemented
83#67⋊Dic3C2212yescomplemented
84#67⋊Dic3C2212yescomplemented
85#63971C2211yescharacteristic, complemented
86#63971C2211yescharacteristic, complemented
87#63971C2212yescomplemented
88#63971C2212yescomplemented
89#63971C2212yescomplemented
90#63971C2212yescomplemented
91#63971C2212yescomplemented
92#63971C2212yescomplemented
93#63971C2212yescomplemented
94#63971C2212yescomplemented
95#63971C2212yescomplemented
96C2×#3724C2212yescomplemented
97#63966C2212yescomplemented
98C2×#3722C2212yescomplemented
99#63958C2212yescomplemented
100#63957C2212yescomplemented
101#63953C2212yescomplemented
102#63953C2212yescomplemented
103#63952C2212yescomplemented
104#63952C2212yescomplemented
105#63923C2211yescharacteristic, complemented
106#63916C2211yescharacteristic, complemented
107#63912C2212yescomplemented
108#63911C2211yescharacteristic, complemented
109#63910C2212yescomplemented
110#63909C2211yescharacteristic, complemented
111#63909C2211yescharacteristic, complemented
112C4×#626C2211yescharacteristic, complemented
113C4×#626C2211yescharacteristic, complemented
114#63900C2211yescharacteristic, complemented
115#63897C2211yescharacteristic, complemented
116#63896C2211yescharacteristic, complemented
117#63896C2211yescharacteristic, complemented
118#63896C2212yescomplemented
119#63881C2212yescomplemented
120#63881C2212yescomplemented
121#63874C2211yescharacteristic, complemented
122#63871C2211yescharacteristic, complemented
123#63865C2212yescomplemented
124#63864C2211yescharacteristic, complemented
125#63844C2211yescharacteristic, complemented
126#63844C2211yescharacteristic, complemented
127C2×D3×#41—31no—
128C2×#1004—31no—
129C2×#1004—31no—
130C2×#1004—61no—
131C22×#237—31no—
132C3×#546—31no—
133C3×D42—31no—
134#5829—31no—
135#5806D311yescharacteristic, complemented
136C2×#939—32no—
137D4×#67—32no—
138D4×#67—31no—
139D4×#67D311yescharacteristic, complemented
140#5718—31no—
141#5715—31no—
142#5677—31no—
143#5674—31no—
144#5656—32no—
145#5654—32no—
146#5633—31no—
147#5629—31no—
148#5610—32no—
149#5609—32no—
150#5608—31no—
151D3×#121—31no—
152D3×#121—31no—
153#5599—31no—
154#5599—31no—
155#5598—31no—
156#5597—32no—
157#5597—32no—
158#5592—32no—
159#5592—32no—
160#5591—32no—
161#5590—32no—
162#5590—32no—
163#5586—32no—
164#5554—31no—
165#5553—31no—
166#5552—31no—
167D4×D12—31no—
168#5547—31no—
169#5547—31no—
170#5546—31no—
171#5546—31no—
172#5490—32no—
173C2×#884—32no—
174C24×C32C2312yes—
175C23×C3⋊D3C2312yes—
176C23×C3⋊D3C2312yes—
177C23×C3×D3C2312yes—
178C22×D32C2311yescharacteristic
179C2×C32×D4—24no—
180C2×C32×D4C2312yes—
181C2×C32×D4C2311yescharacteristic
182C2×C32×D4C2311yescharacteristic
183C22×C32×C4C2311yescharacteristic
184C2×#638—28no—
185C2×#638—28no—
186C2×#638C2312yes—
187C2×#638C2311yescharacteristic
188C2×#638C2311yescharacteristic
189C2×#638C2312yes—
190C2×#638C2312yes—
191C2×#638C2312yes—
192C2×#638C2312yes—
193C22×C3⋊Dic3C2312yes—
194C22×C3⋊Dic3C2312yes—
195#3830—28no—
196#3830—24no—
197#3830D418yescomplemented
198D4×C3⋊D3—24no—
199D4×C3⋊D3—28no—
200D4×C3⋊D3—24no—
201#3828—24no—
202#3828—24no—
203C2×C4⋊(C3⋊D3)C2311yescharacteristic
204C2×C4⋊(C3⋊D3)C2311yescharacteristic
205C2×C4×C3⋊D3C2312yes—
206C2×C4×C3⋊D3C2311yescharacteristic
207C2×C4×C3⋊D3C2311yescharacteristic
208C2×#634C2311yescharacteristic
209C2×#634C2311yescharacteristic
210C2×C3×#67—44no—
211C2×C3×#67C2311yescharacteristic
212C2×C3×#67C2312yes—
213C2×C3×#67C2312yes—
214C2×C3×#67C2312yes—
215C2×C3×#67C2311yescharacteristic
216C2×C3×#67C2312yes—
217C2×C3×#67C2312yes—
218C2×C3×#67C2312yes—
219C2×C3×#67C2312yes—
220C22×C3×Dic3C2312yes—
221C22×C3×Dic3C2312yes—
222C22×C3×Dic3C2312yes—
223C3×#237—24no—
224C3×D3×D4—24no—
225C2×C3×D12C2311yescharacteristic
226C2×C3×C4×D3C2311yescharacteristic
227C2×C3×C4×D3C2311yescharacteristic
228C2×C3×Dic6C2311yescharacteristic
229#3811—44no—
230D3×#67—28no—
231C2×#627C2312yes—
232C2×#626—44no—
233C2×#626C2312yes—
234C2×#626C2311yescharacteristic
235C2×#626C2312yes—
236C2×#626C2312yes—
237C2×#626C2312yes—
238C2×#626C2312yes—
239C2×#626C2312yes—
240C2×#626C2311yescharacteristic
241C2×#625C2312yes—
242C2×#624C2311yescharacteristic
243C2×#624C2312yes—
244#3805—28no—
245#3804—28no—
246C2×D3×Dic3—28no—
247C2×D3×Dic3C2312yes—
248C2×D3×Dic3C2312yes—
249C2×D3×Dic3C2312yes—
250C2×D3×Dic3C2311yescharacteristic
251C2×D3×Dic3C2311yescharacteristic
252C4×D32—24no—
253#3796—24no—
254#3795—24no—
255D3×Dic6—24no—
256C3×#217C2312yes—
257C3×#217C2311yescharacteristic
258C3×#217C2311yescharacteristic
259C3×#217C2312yes—
260C3×#217C2312yes—
261C3×#217C2312yes—
262C3×#217C2312yes—
263C3×#217C2312yes—
264C3×#217C2312yes—
265C3×(C2×D3)⋊C4C2311yescharacteristic
266C3×(C2×D3)⋊C4C2311yescharacteristic
267C3×(C2×D3)⋊C4C2312yes—
268C3×C4⋊Dic3C2311yescharacteristic
269C3×C4⋊Dic3C2311yescharacteristic
270C3×Dic3⋊C4C2312yes—
271C3×Dic3⋊C4C2311yescharacteristic
272C3×Dic3⋊C4C2311yescharacteristic
273C3×C4×Dic3C2311yescharacteristic
274C3×C4×Dic3C2311yescharacteristic
275#3724C2312yes—
276#3724C2312yes—
277#3724C2311yescharacteristic
278#3724C2311yescharacteristic
279#3724C2312yes—
280Dic3⋊Dic3C2312yes—
281Dic3⋊Dic3C2311yescharacteristic
282Dic3⋊Dic3C2311yescharacteristic
283#3722C2312yes—
284#3722C2312yes—
285#3722C2312yes—
286#3722C2312yes—
287#3722C2311yescharacteristic
288#3722C2311yescharacteristic
289#3722C2312yes—
290#3722C2311yescharacteristic
291#3722C2311yescharacteristic
292(C2×D3)⋊Dic3C2311yescharacteristic
293(C2×D3)⋊Dic3C2311yescharacteristic
294(C2×D3)⋊Dic3C2312yes—
295Dic32C2312yes—
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—31no—
299C22×C3×D4—21no—
300C22×C3×D4—32no—
301C22×C3×D4—31no—
302C22×C3×D4C2×D311yescharacteristic, complemented
303C22×C3×D4C2×D311yescharacteristic, complemented
304C22×#67—32no—
305C22×#67—32no—
306C22×#67—32no—
307C22×#67—32no—
308C22×#67—32no—
309C22×#67—32no—
310C22×#67—62no—
311C22×#67—62no—
312C22×#67C2×D312yescomplemented
313C23×Dic3—32no—
314D3×#41—68no—
315C2×#239—31no—
316C2×D3×Q8—31no—
317#1004—68no—
318#1004—68no—
319#1004—616no—
320C2×#237—31no—
321C2×#237—31no—
322C2×#237—32no—
323C2×#237—31no—
324C2×#237—31no—
325C2×#237—32no—
326C2×#237—32no—
327C2×#237—32no—
328C2×#237—32no—
329C2×#237—31no—
330C2×#237—31no—
331C2×#237—61no—
332C2×#237—62no—
333C2×#237—61no—
334C2×#237—68no—
335C2×#237C2×D311yescharacteristic, complemented
336C2×D3×D4—32no—
337C2×D3×D4—32no—
338C2×D3×D4—31no—
339C2×D3×D4—31no—
340C2×D3×D4—31no—
341C2×D3×D4—31no—
342C2×D3×D4—32no—
343C2×D3×D4—32no—
344C2×D3×D4—32no—
345C2×D3×D4—61no—
346C2×D3×D4—62no—
347C2×D3×D4—61no—
348C2×D3×D4C2×D311yescharacteristic, complemented
349C2×#235—31no—
350C2×#235—31no—
351C2×#235—31no—
352C2×#235—31no—
353C2×#235—32no—
354C2×#235—31no—
355C2×#235—61no—
356C2×#235—61no—
357C22×D12—32no—
358C22×C4×D3—32no—
359C22×C4×D3—31no—
360C22×C4×D3—31no—
361C22×Dic6—31no—
362C3×#127—31no—
363C3×#124—31no—
364C3×#123—32no—
365C3×C22⋊Q8—31no—
366C3×#121—31no—
367C3×#121—31no—
368C3×#121—32no—
369C3×#121—32no—
370C3×#121—31no—
371C3×#120—32no—
372C3×#120—32no—
373C3×#120—32no—
374C3×C4×D4—31no—
375C3×C4×D4—31no—
376C3×C4×D4—31no—
377C3×C4×D4—31no—
378C2×C3×C22⋊C4—32no—
379#953—32no—
380#953C2×D312yescomplemented
381#953C2×D312yescomplemented
382C2×#217C2×D312yescomplemented
383#947—31no—
384#946—31no—
385#940—32no—
386#940—32no—
387#940—32no—
388#940—32no—
389#940—31no—
390#940C2×D311yescharacteristic, complemented
391#939—32no—
392#939—32no—
393#939—32no—
394#939—32no—
395#939—32no—
396#939—32no—
397#939—32no—
398#939—32no—
399#939—31no—
400#939—32no—
401#939—32no—
402#939—32no—
403#939—32no—
404#939—31no—
405#939—32no—
406#939C2×D312yescomplemented
407#939C2×D312yescomplemented
408#938—32no—
409#938—31no—
410#938C2×D311yescharacteristic, complemented
411#938C2×D311yescharacteristic, complemented
412#937—31no—
413#937—31no—
414#937—32no—
415#937—32no—
416#937—32no—
417#937—32no—
418#937C2×D312yescomplemented
419#936C2×D311yescharacteristic, complemented
420#935C2×D312yescomplemented
421D4×Dic3—32no—
422D4×Dic3—32no—
423D4×Dic3C2×D311yescharacteristic, complemented
424D4×Dic3C2×D311yescharacteristic, complemented
425#930—32no—
426#930—32no—
427#930—31no—
428#930—31no—
429#930C2×D311yescharacteristic, complemented
430#929—32no—
431C4×#67—32no—
432C4×#67—32no—
433C4×#67—31no—
434C4×#67—31no—
435C4×#67C2×D311yescharacteristic, complemented
436C4×#67C2×D311yescharacteristic, complemented
437C2×(C2×D3)⋊C4—32no—
438C2×(C2×D3)⋊C4—32no—
439#924C2×D311yescharacteristic, complemented
440C2×Dic3⋊C4—32no—
441C2×Dic3⋊C4—32no—
442#897—31no—
443#896—31no—
444#896—32no—
445#896—31no—
446#896—32no—
447#896—32no—
448#895—31no—
449#895—31no—
450#895—31no—
451#895—32no—
452#894—31no—
453#894—31no—
454#893—32no—
455#893—32no—
456D3×C4⋊C4—31no—
457D3×C4⋊C4—31no—
458#887—31no—
459#887—31no—
460#886—32no—
461#885—32no—
462#885—32no—
463#885—32no—
464#885—32no—
465#884—32no—
466#884—32no—
467#884—32no—
468#884—32no—
469#884—32no—
470#884—32no—
471#884—31no—
472#884—32no—
473#884—32no—
474#884—32no—
475#884—31no—
476#884—32no—
477#884—32no—
478#884—32no—
479#884—32no—
480#883—31no—
481#883—31no—
482#882—32no—
483#882—32no—
484#882—32no—
485#882—32no—
486#882—32no—
487#882—31no—
488#882—31no—
489#67⋊C4—32no—
490#67⋊C4—32no—
491#67⋊C4—32no—
492#67⋊C4—32no—
493#67⋊C4—32no—
494#67⋊C4—32no—
495D3×C22⋊C4—32no—
496D3×C22⋊C4—32no—
497#878—32no—
498#878—32no—
499#878—31no—
500#878—31no—
501#878—32no—
502#877—32no—
503#877—32no—
504#875—31no—
505#874—31no—
506C4×D12—31no—
507C4×D12—31no—
508#872—31no—
509#872—31no—
510C4×Dic6—31no—
511C4×Dic6—31no—
512C23×C32—24no—
513C23×C32—42no—
514C23×C32—42no—
515C23×C32C2412yes—
516C23×C32C2411yescharacteristic
517C23×C32C2412yes—
518C22×C3⋊D3—24no—
519C22×C3⋊D3—24no—
520C22×C3⋊D3—42no—
521C22×C3⋊D3—42no—
522C22×C3⋊D3—42no—
523C22×C3⋊D3—42no—
524C22×C3⋊D3C2411yescharacteristic
525C22×C3⋊D3C2412yes—
526C22×C3⋊D3C2411yescharacteristic
527C22×C3×D3—24no—
528C22×C3×D3—24no—
529C22×C3×D3—42no—
530C22×C3×D3C2411yescharacteristic
531C22×C3×D3C2412yes—
532C22×C3×D3C2411yescharacteristic
533C2×D32—22no—
534C2×D32—22no—
535C2×D32—41no—
536C32×D4—24no—
537C32×D4—22no—
538C32×D4C2×D414yescomplemented
539C2×C32×C4—22no—
540C2×C32×C4C2411yescharacteristic
541C2×C32×C4C2411yescharacteristic
542#638—24no—
543#638—22no—
544#638—22no—
545#638—24no—
546#638—24no—
547#638—24no—
548#638C2×D418yescomplemented
549C2×C3⋊Dic3—24no—
550C2×C3⋊Dic3C2×D418yescomplemented
551C2×C3⋊Dic3C2411yescharacteristic
552C2×C3⋊Dic3C2412yes—
553C2×C3⋊Dic3C2411yescharacteristic
554C4⋊(C3⋊D3)—22no—
555C4⋊(C3⋊D3)—22no—
556C4×C3⋊D3—22no—
557C4×C3⋊D3—24no—
558C4×C3⋊D3C2×D414yescomplemented
559#634—22no—
560#634C2×D414yescomplemented
561C3×#67—24no—
562C3×#67—24no—
563C3×#67—24no—
564C3×#67—22no—
565C3×#67—42no—
566C3×#67—42no—
567C3×#67—42no—
568C3×#67—41no—
569C3×#67—42no—
570C2×C3×Dic3—24no—
571C2×C3×Dic3—42no—
572C2×C3×Dic3—42no—
573C2×C3×Dic3C2411yescharacteristic
574C2×C3×Dic3C2411yescharacteristic
575C2×C3×Dic3C2412yes—
576C2×C3×Dic3C2412yes—
577C2×C3×Dic3C2411yescharacteristic
578C2×C3×Dic3C2411yescharacteristic
579C2×C3×Dic3C2412yes—
580C2×C3×Dic3C2411yescharacteristic
581C2×C3×Dic3C2411yescharacteristic
582C3×D12—22no—
583C3×C4×D3—22no—
584C3×C4×D3—22no—
585C3×Dic6—22no—
586#627—24no—
587#626—24no—
588#626—22no—
589#626—24no—
590#626—42no—
591#626—42no—
592#626—42no—
593#626—41no—
594#626—42no—
595#625—24no—
596#624—22no—
597#624—42no—
598D3×Dic3—24no—
599D3×Dic3—24no—
600D3×Dic3—24no—
601D3×Dic3—22no—
602D3×Dic3—22no—
603C2×H(5,𝔽2)—91no—
604C22×#41—91no—
605#550—91no—
606#550—91no—
607#548—91no—
608#548—91no—
609#546—31no—
610#546—92no—
611#546—91no—
612#546—92no—
613D42—31no—
614D42—91no—
615D42—92no—
616D42—92no—
617#537—92no—
618#537—91no—
619#535—92no—
620#535—91no—
621#525—91no—
622#525—92no—
623C2×#121—92no—
624C2×#121—91no—
625#520—91no—
626C24×C3—22no—
627C24×C3—32no—
628C24×C3C22×D312yes—
629C24×C3C22×D312yes—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3—32no—
634C23×D3—31no—
635C23×D3—31no—
636C23×D3—62no—
637C23×D3—62no—
638C23×D3C22×D312yes—
639C3×#41—64no—
640C2×C3×Q8—31no—
641C2×C3×D4—28no—
642C2×C3×D4—24no—
643C2×C3×D4—24no—
644C2×C3×D4—22no—
645C2×C3×D4—21no—
646C2×C3×D4—21no—
647C2×C3×D4—32no—
648C2×C3×D4—31no—
649C2×C3×D4—32no—
650C2×C3×D4—32no—
651C2×C3×D4—32no—
652C2×C3×D4—32no—
653C2×C3×D4—31no—
654C2×C3×D4—32no—
655C2×C3×D4—32no—
656C2×C3×D4—31no—
657C2×C3×D4—64no—
658C2×C3×D4—124no—
659C2×C3×D4C22×D312yes—
660C2×C3×D4C22×D311yescharacteristic
661C2×C3×D4C22×D312yes—
662C2×C3×D4C22×D311yescharacteristic
663C2×C3×D4C22×D311yescharacteristic
664C2×C3×D4C22×D311yescharacteristic
665C22×C3×C4—21no—
666C22×C3×C4—32no—
667C22×C3×C4—32no—
668C22×C3×C4—32no—
669C22×C3×C4—31no—
670C22×C3×C4—31no—
671C22×C3×C4C22×D311yescharacteristic
672C22×C3×C4C22×D311yescharacteristic
673C2×#67—32no—
674C2×#67—32no—
675C2×#67—32no—
676C2×#67—31no—
677C2×#67—31no—
678C2×#67—31no—
679C2×#67—32no—
680C2×#67—32no—
681C2×#67—32no—
682C2×#67—31no—
683C2×#67—32no—
684C2×#67—32no—
685C2×#67—32no—
686C2×#67—32no—
687C2×#67—32no—
688C2×#67—32no—
689C2×#67—32no—
690C2×#67—31no—
691C2×#67—32no—
692C2×#67—32no—
693C2×#67—31no—
694C2×#67—32no—
695C2×#67—32no—
696C2×#67—32no—
697C2×#67—44no—
698C2×#67—61no—
699C2×#67—61no—
700C2×#67—62no—
701C2×#67—62no—
702C2×#67—62no—
703C2×#67—62no—
704C2×#67—62no—
705C2×#67—68no—
706C2×#67—68no—
707C2×#67—68no—
708C2×#67—68no—
709C2×#67—68no—
710C2×#67—616no—
711C2×#67—616no—
712C2×#67—124no—
713C2×#67C22×D312yes—
714C2×#67C22×D312yes—
715C2×#67C22×D312yes—
716C2×#67C22×D311yescharacteristic
717C2×#67C22×D312yes—
718C2×#67C22×D312yes—
719C2×#67C22×D312yes—
720C2×#67C22×D311yescharacteristic
721C2×#67C22×D312yes—
722C22×Dic3—32no—
723C22×Dic3—32no—
724C22×Dic3—32no—
725C22×Dic3—32no—
726C22×Dic3—31no—
727C22×Dic3—31no—
728C22×Dic3—32no—
729C22×Dic3—32no—
730C22×Dic3—32no—
731C22×Dic3—62no—
732C22×Dic3—62no—
733C22×Dic3—68no—
734C22×Dic3C22×D312yes—
735C22×Dic3C22×D312yes—
736C22×Dic3C22×D312yes—
737#239—64no—
738D3×Q8—64no—
739#237—24no—
740#237—38no—
741#237—38no—
742#237—68no—
743#237—64no—
744#237—64no—
745#237—64no—
746#237—64no—
747#237—68no—
748#237—68no—
749#237—68no—
750#237—68no—
751#237—68no—
752#237—616no—
753#237—68no—
754D3×D4—24no—
755D3×D4—64no—
756D3×D4—64no—
757D3×D4—68no—
758D3×D4—68no—
759D3×D4—68no—
760D3×D4—68no—
761D3×D4—616no—
762D3×D4—68no—
763D3×D4—64no—
764D3×D4—64no—
765D3×D4—124no—
766D3×D4—124no—
767#235—64no—
768#235—64no—
769#235—64no—
770#235—64no—
771#235—64no—
772#235—68no—
773#235—68no—
774#235—68no—
775C2×D12—31no—
776C2×D12—32no—
777C2×D12—32no—
778C2×D12—31no—
779C2×D12—31no—
780C2×D12—31no—
781C2×D12—31no—
782C2×D12—31no—
783C2×D12—32no—
784C2×D12—32no—
785C2×D12—32no—
786C2×D12—32no—
787C2×D12—61no—
788C2×D12—61no—
789C2×D12—124no—
790C2×D12C22×D311yescharacteristic
791C2×C4×D3—31no—
792C2×C4×D3—31no—
793C2×C4×D3—32no—
794C2×C4×D3—32no—
795C2×C4×D3—31no—
796C2×C4×D3—31no—
797C2×C4×D3—32no—
798C2×C4×D3—31no—
799C2×C4×D3—31no—
800C2×C4×D3—32no—
801C2×C4×D3—32no—
802C2×C4×D3—31no—
803C2×C4×D3—31no—
804C2×C4×D3—32no—
805C2×C4×D3—32no—
806C2×C4×D3—61no—
807C2×C4×D3—62no—
808C2×C4×D3—61no—
809C2×C4×D3—64no—
810C2×C4×D3—64no—
811C2×C4×D3—68no—
812C2×C4×D3C22×D311yescharacteristic
813C2×C4×D3C22×D311yescharacteristic
814C2×Dic6—31no—
815C2×Dic6—31no—
816C2×Dic6—31no—
817C2×Dic6—31no—
818C2×Dic6—32no—
819C2×Dic6—32no—
820C2×Dic6—61no—
821C2×Dic6—61no—
822C2×Dic6—64no—
823C2×Dic6C22×D311yescharacteristic
824C3×C4⋊C4—31no—
825C3×C4⋊C4—31no—
826C3×C4⋊C4—31no—
827C3×C4⋊C4—32no—
828C3×C4⋊C4—31no—
829C3×C22⋊C4—32no—
830C3×C22⋊C4—32no—
831C3×C22⋊C4—32no—
832C3×C22⋊C4—32no—
833C3×C22⋊C4—32no—
834C3×C22⋊C4—32no—
835C3×C22⋊C4—31no—
836C3×C22⋊C4—31no—
837C3×C22⋊C4—32no—
838C3×C22⋊C4—31no—
839C3×C22⋊C4—32no—
840C3×C22⋊C4—31no—
841C3×C42—31no—
842C3×C42—31no—
843#217—31no—
844#217—31no—
845#217—32no—
846#217C22×D312yes—
847#217C22×D312yes—
848#217C22×D312yes—
849#217C22×D312yes—
850#217C22×D312yes—
851#217C22×D311yescharacteristic
852#217C22×D311yescharacteristic
853#217C22×D312yes—
854#217C22×D312yes—
855(C2×D3)⋊C4—31no—
856(C2×D3)⋊C4—31no—
857(C2×D3)⋊C4—32no—
858(C2×D3)⋊C4—31no—
859(C2×D3)⋊C4—31no—
860(C2×D3)⋊C4—31no—
861(C2×D3)⋊C4—31no—
862(C2×D3)⋊C4—31no—
863(C2×D3)⋊C4—31no—
864(C2×D3)⋊C4—32no—
865(C2×D3)⋊C4—32no—
866(C2×D3)⋊C4—32no—
867(C2×D3)⋊C4—32no—
868(C2×D3)⋊C4—32no—
869(C2×D3)⋊C4—32no—
870(C2×D3)⋊C4—32no—
871(C2×D3)⋊C4—32no—
872(C2×D3)⋊C4—32no—
873(C2×D3)⋊C4—31no—
874(C2×D3)⋊C4—32no—
875(C2×D3)⋊C4—31no—
876(C2×D3)⋊C4C22×D311yescharacteristic
877(C2×D3)⋊C4C22×D311yescharacteristic
878(C2×D3)⋊C4C22×D312yes—
879C4⋊Dic3—31no—
880C4⋊Dic3—31no—
881C4⋊Dic3—32no—
882C4⋊Dic3C22×D311yescharacteristic
883C4⋊Dic3C22×D311yescharacteristic
884Dic3⋊C4—32no—
885Dic3⋊C4—32no—
886Dic3⋊C4—31no—
887Dic3⋊C4—31no—
888Dic3⋊C4—31no—
889Dic3⋊C4—31no—
890Dic3⋊C4—32no—
891Dic3⋊C4—32no—
892Dic3⋊C4—31no—
893Dic3⋊C4—32no—
894Dic3⋊C4—32no—
895Dic3⋊C4—31no—
896Dic3⋊C4—32no—
897Dic3⋊C4C22×D311yescharacteristic
898Dic3⋊C4C22×D312yes—
899Dic3⋊C4C22×D311yescharacteristic
900C4×Dic3—32no—
901C4×Dic3—32no—
902C4×Dic3—32no—
903C4×Dic3—32no—
904C4×Dic3C22×D311yescharacteristic
905C4×Dic3C22×D311yescharacteristic
906C22×C32—22no—
907C22×C32—21no—
908C22×C32—22no—
909C22×C32—22no—
910C22×C32—22no—
911C22×C32—21no—
912C22×C32—22no—
913C22×C32—21no—
914C22×C32—84no—
915C22×C32C22×D414yes—
916C22×C32C2511yescharacteristic
917C2×C3⋊D3—21no—
918C2×C3⋊D3—22no—
919C2×C3⋊D3—21no—
920C2×C3⋊D3—21no—
921C2×C3⋊D3—21no—
922C2×C3⋊D3—22no—
923C2×C3⋊D3—21no—
924C2×C3⋊D3—22no—
925C2×C3⋊D3—84no—
926C2×C3⋊D3—84no—
927C2×C3⋊D3C22×D412yes—
928C2×C3×D3—21no—
929C2×C3×D3—21no—
930C2×C3×D3—22no—
931C2×C3×D3—21no—
932C2×C3×D3—21no—
933C2×C3×D3—22no—
934C2×C3×D3—21no—
935C2×C3×D3—22no—
936C2×C3×D3—48no—
937C2×C3×D3H(5,𝔽2)12yescomplemented
938D32—44no—
939C32×C4—21no—
940C32×C4C22×D412yes—
941C3⋊Dic3—21no—
942C3⋊Dic3C22×D412yes—
943C3⋊Dic3C22×D414yes—
944C3×Dic3—21no—
945C3×Dic3—22no—
946C3×Dic3—21no—
947C3×Dic3—22no—
948C3×Dic3—22no—
949C3×Dic3—21no—
950C3×Dic3—21no—
951C3×Dic3—21no—
952C3×Dic3—21no—
953H(5,𝔽2)—188no—
954C2×#41—31no—
955C2×#41—92no—
956C2×#41—91no—
957C2×#41—92no—
958C2×#41—91no—
959C2×#41—91no—
960C2×#41—92no—
961C2×#41—91no—
962C2×#41—91no—
963C2×#41—91no—
964C2×#41—188no—
965C22×Q8—91no—
966C22×D4—32no—
967C22×D4—31no—
968C22×D4—92no—
969C22×D4—92no—
970C22×D4—92no—
971C22×D4—92no—
972C22×D4—92no—
973C22×D4—91no—
974C22×D4—92no—
975C22×D4—91no—
976C22×D4D3211yescharacteristic, complemented
977C23×C4—91no—
978C23×C4—92no—
979#127—31no—
980#127—91no—
981#127—92no—
982#127—92no—
983#124—31no—
984#124—91no—
985#124—92no—
986#124—92no—
987#123—32no—
988#123—91no—
989#123—92no—
990#123—91no—
991C22⋊Q8—31no—
992C22⋊Q8—92no—
993C22⋊Q8—91no—
994C22⋊Q8—91no—
995C22⋊Q8—92no—
996C22⋊Q8—92no—
997C22⋊Q8—91no—
998#121—31no—
999#121—31no—
1000#121—32no—
1001#121—32no—
1002#121—31no—
1003#121—92no—
1004#121—92no—
1005#121—91no—
1006#121—92no—
1007#121—92no—
1008#121—92no—
1009#121—92no—
1010#121—92no—
1011#121—92no—
1012#121—92no—
1013#121—92no—
1014#121—91no—
1015#121—92no—
1016#121—92no—
1017#121—91no—
1018#121—91no—
1019#121—91no—
1020#121—92no—
1021#121—92no—
1022#121—92no—
1023#120—32no—
1024#120—32no—
1025#120—32no—
1026#120—91no—
1027#120—92no—
1028#120—92no—
1029#120—92no—
1030#120—92no—
1031#120—92no—
1032#120—91no—
1033C4×Q8—91no—
1034C4×Q8—91no—
1035C4×D4—31no—
1036C4×D4—31no—
1037C4×D4—31no—
1038C4×D4—31no—
1039C4×D4—91no—
1040C4×D4—91no—
1041C4×D4—92no—
1042C4×D4—92no—
1043C4×D4—92no—
1044C4×D4—92no—
1045C4×D4—92no—
1046C4×D4—92no—
1047#117—91no—
1048#117—92no—
1049C2×C4⋊C4—91no—
1050C2×C4⋊C4—92no—
1051C2×C22⋊C4—32no—
1052C2×C22⋊C4—92no—
1053C2×C22⋊C4—92no—
1054C23×C3—28no—
1055C23×C3—24no—
1056C23×C3—24no—
1057C23×C3—22no—
1058C23×C3—22no—
1059C23×C3—21no—
1060C23×C3—31no—
1061C23×C3—32no—
1062C23×C3—31no—
1063C23×C3—42no—
1064C23×C3—42no—
1065C23×C3—42no—
1066C23×C3—42no—
1067C23×C3—64no—
1068C23×C3—64no—
1069C23×C3—82no—
1070C23×C3—82no—
1071C23×C3—122no—
1072C23×C3C23×D312yes—
1073C23×C3C23×D311yescharacteristic
1074C23×C3C23×D312yes—
1075C23×C3C23×D311yescharacteristic
1076C23×C3C23×D312yes—
1077C23×C3C23×D312yes—
1078C22×D3—24no—
1079C22×D3—24no—
1080C22×D3—31no—
1081C22×D3—31no—
1082C22×D3—31no—
1083C22×D3—32no—
1084C22×D3—31no—
1085C22×D3—32no—
1086C22×D3—42no—
1087C22×D3—61no—
1088C22×D3—62no—
1089C22×D3—61no—
1090C22×D3—62no—
1091C22×D3—62no—
1092C22×D3—62no—
1093C22×D3—64no—
1094C22×D3—64no—
1095C22×D3—68no—
1096C22×D3—68no—
1097C22×D3—64no—
1098C22×D3—64no—
1099C22×D3—62no—
1100C22×D3—121no—
1101C22×D3—121no—
1102C22×D3—122no—
1103C22×D3—122no—
1104C22×D3—122no—
1105C22×D3—122no—
1106C22×D3—122no—
1107C22×D3—122no—
1108C22×D3—122no—
1109C22×D3—122no—
1110C22×D3—242no—
1111C22×D3—242no—
1112C22×D3—242no—
1113C22×D3—242no—
1114C22×D3C23×D312yes—
1115C22×D3C23×D311yescharacteristic
1116C22×D3C23×D311yescharacteristic
1117C3×Q8—62no—
1118C3×D4—28no—
1119C3×D4—24no—
1120C3×D4—24no—
1121C3×D4—24no—
1122C3×D4—22no—
1123C3×D4—22no—
1124C3×D4—24no—
1125C3×D4—64no—
1126C3×D4—62no—
1127C3×D4—64no—
1128C3×D4—64no—
1129C3×D4—62no—
1130C3×D4—122no—
1131C3×D4—122no—
1132C3×D4—121no—
1133C3×D4—122no—
1134C3×D4—122no—
1135C3×D4D3×D414yescomplemented
1136C3×D4D3×D414yescomplemented
1137C2×C3×C4—24no—
1138C2×C3×C4—22no—
1139C2×C3×C4—22no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—31no—
1143C2×C3×C4—31no—
1144C2×C3×C4—32no—
1145C2×C3×C4—32no—
1146C2×C3×C4—31no—
1147C2×C3×C4—31no—
1148C2×C3×C4—31no—
1149C2×C3×C4—32no—
1150C2×C3×C4—31no—
1151C2×C3×C4—64no—
1152C2×C3×C4—62no—
1153C2×C3×C4—62no—
1154C2×C3×C4—122no—
1155C2×C3×C4—122no—
1156C2×C3×C4C23×D311yescharacteristic
1157C2×C3×C4C23×D311yescharacteristic
1158C2×C3×C4C23×D311yescharacteristic
1159C2×C3×C4C23×D311yescharacteristic
1160#67—24no—
1161#67—24no—
1162#67—24no—
1163#67—22no—
1164#67—38no—
1165#67—38no—
1166#67—42no—
1167#67—42no—
1168#67—42no—
1169#67—41no—
1170#67—42no—
1171#67—68no—
1172#67—64no—
1173#67—64no—
1174#67—62no—
1175#67—64no—
1176#67—64no—
1177#67—64no—
1178#67—64no—
1179#67—62no—
1180#67—62no—
1181#67—64no—
1182#67—64no—
1183#67—64no—
1184#67—64no—
1185#67—62no—
1186#67—62no—
1187#67—64no—
1188#67—68no—
1189#67—64no—
1190#67—68no—
1191#67—68no—
1192#67—68no—
1193#67—64no—
1194#67—64no—
1195#67—122no—
1196#67—122no—
1197#67—121no—
1198#67—122no—
1199#67—122no—
1200C2×Dic3—24no—
1201C2×Dic3—38no—
1202C2×Dic3—38no—
1203C2×Dic3—32no—
1204C2×Dic3—32no—
1205C2×Dic3—31no—
1206C2×Dic3—31no—
1207C2×Dic3—31no—
1208C2×Dic3—31no—
1209C2×Dic3—42no—
1210C2×Dic3—42no—
1211C2×Dic3—68no—
1212C2×Dic3—62no—
1213C2×Dic3—61no—
1214C2×Dic3—61no—
1215C2×Dic3—64no—
1216C2×Dic3—62no—
1217C2×Dic3—62no—
1218C2×Dic3—64no—
1219C2×Dic3—64no—
1220C2×Dic3—64no—
1221C2×Dic3—64no—
1222C2×Dic3—68no—
1223C2×Dic3C23×D311yescharacteristic
1224C2×Dic3C23×D311yescharacteristic
1225C2×Dic3C23×D312yes—
1226C2×Dic3C23×D312yes—
1227C2×Dic3C23×D311yescharacteristic
1228C2×Dic3C23×D311yescharacteristic
1229C2×Dic3C23×D311yescharacteristic
1230C2×Dic3C23×D312yes—
1231C2×Dic3C23×D311yescharacteristic
1232D12—22no—
1233D12—62no—
1234D12—62no—
1235D12—64no—
1236D12—64no—
1237D12—64no—
1238D12—62no—
1239D12—64no—
1240D12—62no—
1241D12—62no—
1242D12—121no—
1243D12—122no—
1244D12—122no—
1245D12—122no—
1246D12—122no—
1247C4×D3—22no—
1248C4×D3—22no—
1249C4×D3—34no—
1250C4×D3—34no—
1251C4×D3—64no—
1252C4×D3—62no—
1253C4×D3—62no—
1254C4×D3—64no—
1255C4×D3—64no—
1256C4×D3—62no—
1257C4×D3—64no—
1258C4×D3—64no—
1259C4×D3—62no—
1260C4×D3—64no—
1261C4×D3—68no—
1262C4×D3—64no—
1263C4×D3—62no—
1264C4×D3—62no—
1265C4×D3—122no—
1266C4×D3—122no—
1267Dic6—22no—
1268Dic6—34no—
1269Dic6—34no—
1270Dic6—64no—
1271Dic6—64no—
1272Dic6—64no—
1273Dic6—62no—
1274Dic6—62no—
1275Dic6—64no—
1276C2×C32—24no—
1277C2×C32—42no—
1278C2×C32—41no—
1279C2×C32C23×D411yescharacteristic
1280C2×C32C2×H(5,𝔽2)11yescharacteristic
1281C2×C32#58511yescharacteristic
1282C3⋊D3—22no—
1283C3⋊D3—42no—
1284C3⋊D3—41no—
1285C3×D3—22no—
1286C3×D3—41no—
1287C3×D3—42no—
1288C24—32no—
1289C24—91no—
1290C24—92no—
1291C24—92no—
1292C24C2×D3212yes—
1293#41—64no—
1294#41—98no—
1295#41—184no—
1296#41—184no—
1297#41—188no—
1298#41—184no—
1299#41—188no—
1300#41—188no—
1301#41—184no—
1302#41—184no—
1303C2×Q8—31no—
1304C2×Q8—92no—
1305C2×Q8—91no—
1306C2×Q8—91no—
1307C2×Q8—184no—
1308C2×D4—24no—
1309C2×D4—31no—
1310C2×D4—32no—
1311C2×D4—32no—
1312C2×D4—32no—
1313C2×D4—31no—
1314C2×D4—32no—
1315C2×D4—32no—
1316C2×D4—32no—
1317C2×D4—32no—
1318C2×D4—31no—
1319C2×D4—64no—
1320C2×D4—91no—
1321C2×D4—92no—
1322C2×D4—92no—
1323C2×D4—92no—
1324C2×D4—91no—
1325C2×D4—92no—
1326C2×D4—92no—
1327C2×D4—92no—
1328C2×D4—92no—
1329C2×D4—92no—
1330C2×D4—91no—
1331C2×D4—92no—
1332C2×D4—92no—
1333C2×D4—91no—
1334C2×D4—92no—
1335C2×D4—92no—
1336C2×D4—91no—
1337C2×D4—91no—
1338C2×D4—124no—
1339C2×D4—184no—
1340C2×D4—188no—
1341C2×D4—188no—
1342C2×D4—188no—
1343C2×D4—188no—
1344C2×D4—184no—
1345C2×D4—364no—
1346C2×D4—364no—
1347C2×D4C2×D3212yes—
1348C2×D4C2×D3211yescharacteristic
1349C2×D4C2×D3211yescharacteristic
1350C22×C4—32no—
1351C22×C4—32no—
1352C22×C4—32no—
1353C22×C4—31no—
1354C22×C4—31no—
1355C22×C4—91no—
1356C22×C4—92no—
1357C22×C4—92no—
1358C22×C4—92no—
1359C22×C4—91no—
1360C22×C4—91no—
1361C22×C4—92no—
1362C22×C4—92no—
1363C22×C4—91no—
1364C22×C4—92no—
1365C22×C4—92no—
1366C22×C4—91no—
1367C22×C4—184no—
1368C22×C4—188no—
1369C22×C4C2×D3211yescharacteristic
1370C4⋊C4—31no—
1371C4⋊C4—31no—
1372C4⋊C4—31no—
1373C4⋊C4—31no—
1374C4⋊C4—32no—
1375C4⋊C4—91no—
1376C4⋊C4—92no—
1377C4⋊C4—92no—
1378C4⋊C4—92no—
1379C4⋊C4—91no—
1380C4⋊C4—91no—
1381C4⋊C4—91no—
1382C4⋊C4—92no—
1383C22⋊C4—31no—
1384C22⋊C4—32no—
1385C22⋊C4—32no—
1386C22⋊C4—32no—
1387C22⋊C4—32no—
1388C22⋊C4—32no—
1389C22⋊C4—32no—
1390C22⋊C4—31no—
1391C22⋊C4—32no—
1392C22⋊C4—31no—
1393C22⋊C4—31no—
1394C22⋊C4—32no—
1395C22⋊C4—91no—
1396C22⋊C4—92no—
1397C22⋊C4—92no—
1398C22⋊C4—92no—
1399C22⋊C4—92no—
1400C22⋊C4—91no—
1401C22⋊C4—91no—
1402C22⋊C4—91no—
1403C22⋊C4—92no—
1404C22⋊C4—91no—
1405C22⋊C4—91no—
1406C22⋊C4—92no—
1407C42—31no—
1408C42—31no—
1409C42—92no—
1410C42—92no—
1411C22×C3—22no—
1412C22×C3—22no—
1413C22×C3—22no—
1414C22×C3—22no—
1415C22×C3—24no—
1416C22×C3—22no—
1417C22×C3—22no—
1418C22×C3—22no—
1419C22×C3—21no—
1420C22×C3—21no—
1421C22×C3—21no—
1422C22×C3—22no—
1423C22×C3—21no—
1424C22×C3—22no—
1425C22×C3—22no—
1426C22×C3—21no—
1427C22×C3—22no—
1428C22×C3—21no—
1429C22×C3—24no—
1430C22×C3—21no—
1431C22×C3—32no—
1432C22×C3—42no—
1433C22×C3—42no—
1434C22×C3—42no—
1435C22×C3—42no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—61no—
1439C22×C3—61no—
1440C22×C3—62no—
1441C22×C3—61no—
1442C22×C3—61no—
1443C22×C3—62no—
1444C22×C3—62no—
1445C22×C3—61no—
1446C22×C3—84no—
1447C22×C3—84no—
1448C22×C3—88no—
1449C22×C3—128no—
1450C22×C3C2×D3×D414yes—
1451C22×C3C2×D3×D414yes—
1452C22×C3C24×D311yescharacteristic
1453C22×C3C24×D311yescharacteristic
1454C2×D3—21no—
1455C2×D3—21no—
1456C2×D3—21no—
1457C2×D3—22no—
1458C2×D3—22no—
1459C2×D3—21no—
1460C2×D3—21no—
1461C2×D3—22no—
1462C2×D3—32no—
1463C2×D3—32no—
1464C2×D3—48no—
1465C2×D3—62no—
1466C2×D3—61no—
1467C2×D3—61no—
1468C2×D3—61no—
1469C2×D3—61no—
1470C2×D3—64no—
1471C2×D3—62no—
1472C2×D3—62no—
1473C2×D3—61no—
1474C2×D3—62no—
1475C2×D3—61no—
1476C2×D3—61no—
1477C2×D3—62no—
1478C2×D3—61no—
1479C2×D3—62no—
1480C2×D3—62no—
1481C2×D3—61no—
1482C2×D3—62no—
1483C2×D3—61no—
1484C2×D3—121no—
1485C2×D3—121no—
1486C2×D3—121no—
1487C2×D3—122no—
1488C2×D3—121no—
1489C2×D3—122no—
1490C2×D3—124no—
1491C2×D3—124no—
1492C2×D3—244no—
1493C2×D3—244no—
1494C2×D3—244no—
1495C2×D3—244no—
1496C2×D3—248no—
1497C2×D3—248no—
1498C2×D3#100412yescomplemented
1499C3×C4—22no—
1500C3×C4—21no—
1501C3×C4—21no—
1502C3×C4—22no—
1503C3×C4—61no—
1504C3×C4—62no—
1505C3×C4—61no—
1506C3×C4—62no—
1507C3×C4—61no—
1508C3×C4—61no—
1509C3×C4—62no—
1510C3×C4—61no—
1511C3×C4—61no—
1512C3×C4C2×D3×D412yes—
1513C3×C4C2×D3×D412yes—
1514Dic3—22no—
1515Dic3—21no—
1516Dic3—21no—
1517Dic3—22no—
1518Dic3—21no—
1519Dic3—21no—
1520Dic3—22no—
1521Dic3—21no—
1522Dic3—21no—
1523Dic3—34no—
1524Dic3—34no—
1525Dic3—32no—
1526Dic3—32no—
1527Dic3—62no—
1528Dic3—64no—
1529Dic3—62no—
1530Dic3—61no—
1531Dic3—61no—
1532C32#348811yescharacteristic, complemented, Sylow
1533C23—24no—
1534C23—31no—
1535C23—31no—
1536C23—32no—
1537C23—42no—
1538C23—42no—
1539C23—64no—
1540C23—64no—
1541C23—91no—
1542C23—92no—
1543C23—91no—
1544C23—122no—
1545C23—184no—
1546C23—182no—
1547C23—182no—
1548C23—184no—
1549C23—362no—
1550C23—362no—
1551C23—362no—
1552C23—362no—
1553C23—361no—
1554C23C22×D3212yes—
1555C23C22×D3211yescharacteristic
1556C23C22×D3212yes—
1557Q8—62no—
1558Q8—94no—
1559Q8—182no—
1560Q8—184no—
1561D4—24no—
1562D4—22no—
1563D4—62no—
1564D4—64no—
1565D4—64no—
1566D4—64no—
1567D4—62no—
1568D4—98no—
1569D4—122no—
1570D4—122no—
1571D4—122no—
1572D4—122no—
1573D4—121no—
1574D4—182no—
1575D4—182no—
1576D4—184no—
1577D4—184no—
1578D4—182no—
1579D4—184no—
1580D4—184no—
1581D4—184no—
1582D4—184no—
1583D4—182no—
1584D4—184no—
1585D4—182no—
1586D4—362no—
1587D4—362no—
1588D4—362no—
1589D4—361no—
1590D4—362no—
1591D4#381114yescomplemented
1592C2×C4—22no—
1593C2×C4—31no—
1594C2×C4—31no—
1595C2×C4—31no—
1596C2×C4—31no—
1597C2×C4—32no—
1598C2×C4—32no—
1599C2×C4—31no—
1600C2×C4—31no—
1601C2×C4—32no—
1602C2×C4—64no—
1603C2×C4—62no—
1604C2×C4—62no—
1605C2×C4—98no—
1606C2×C4—92no—
1607C2×C4—91no—
1608C2×C4—94no—
1609C2×C4—91no—
1610C2×C4—122no—
1611C2×C4—122no—
1612C2×C4—184no—
1613C2×C4—182no—
1614C2×C4—182no—
1615C2×C4—184no—
1616C2×C4—184no—
1617C2×C4—182no—
1618C2×C4—184no—
1619C2×C4—184no—
1620C2×C4—182no—
1621C2×C4—362no—
1622C2×C4C22×D3211yescharacteristic
1623C2×C4C22×D3211yescharacteristic
1624C2×C3—24no—
1625C2×C3—24no—
1626C2×C3—21no—
1627C2×C3—21no—
1628C2×C3—21no—
1629C2×C3—44no—
1630C2×C3—44no—
1631C2×C3—42no—
1632C2×C3—42no—
1633C2×C3—41no—
1634C2×C3—42no—
1635C2×C3—41no—
1636C2×C3—62no—
1637C2×C3—121no—
1638C2×C3—122no—
1639C2×C3C22×D3×D411yescharacteristic
1640C2×C3C22×D3×D411yescharacteristic
1641C2×C3C2×#100411yescharacteristic
1642C2×C3#596411yescharacteristic
1643C2×C3D3×H(5,𝔽2)11yescharacteristic
1644C2×C3#596611yescharacteristic
1645D3—22no—
1646D3—42no—
1647D3—41no—
1648D3—62no—
1649D3—62no—
1650D3—122no—
1651D3—122no—
1652D3—124no—
1653D3—121no—
1654D3—122no—
1655D3—121no—
1656D3—122no—
1657C22—22no—
1658C22—22no—
1659C22—21no—
1660C22—22no—
1661C22—21no—
1662C22—22no—
1663C22—21no—
1664C22—22no—
1665C22—32no—
1666C22—61no—
1667C22—61no—
1668C22—62no—
1669C22—61no—
1670C22—62no—
1671C22—61no—
1672C22—61no—
1673C22—62no—
1674C22—84no—
1675C22—92no—
1676C22—128no—
1677C22—181no—
1678C22—181no—
1679C22—181no—
1680C22—182no—
1681C22—181no—
1682C22—182no—
1683C22—182no—
1684C22—181no—
1685C22—364no—
1686C22—724no—
1687C22—724no—
1688C22C2×#381114yes—
1689C22C23×D3211yescharacteristic
1690C4—21no—
1691C4—61no—
1692C4—61no—
1693C4—62no—
1694C4—62no—
1695C4—61no—
1696C4—61no—
1697C4—61no—
1698C4—61no—
1699C4—62no—
1700C4—92no—
1701C4—94no—
1702C4—181no—
1703C4C2×#381112yes—
1704C3—21no—
1705C3#8660711yescharacteristic, complemented
1706C3#8662911yescharacteristic, complemented
1707C2—24no—
1708C2—41no—
1709C2—42no—
1710C2—62no—
1711C2—122no—
1712C2—121no—
1713C2—182no—
1714C2—361no—
1715C2—362no—
1716C2D3×#100411yescharacteristic
1717C2#1059667811yescharacteristic
1718C2C22×#381111yescharacteristic
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. C2×#64361C2semidirect
2. C2×D3×#237C2semidirect
3. C3×#5806C2semidirect
4. C3×D4×#67C2semidirect
5. #10595526C2semidirect
6. #10595502C2semidirect
7. #10595500C2semidirect
8. C2×#63971C2semidirect
9. #10595292C2semidirect
10. #10595282C2semidirect
11. #10595254C2semidirect
12. D4×#626C2semidirect
13. #10595219C2semidirect
14. #10595168C2semidirect
15. #10595166C2semidirect
16. #10595164C2semidirect
17. #10595163C2semidirect
18. #10595161C2semidirect
19. #10595160C2semidirect
20. #10595076C2semidirect
21. #10594923C2semidirect
22. #10594919C2semidirect
23. #10594916C2semidirect
26. C22×C32×D4C22semidirect
27. C22×#638C22semidirect
28. C22×#638C22semidirect
31. C2×#3830C22semidirect
32. C2×#3830C22semidirect
33. C2×D4×C3⋊D3C22semidirect
34. C2×D4×C3⋊D3C22semidirect
35. C2×D4×C3⋊D3C22semidirect
36. C2×#3828C22semidirect
37. C2×#3828C22semidirect
38. C22×C3×#67C22semidirect
39. C2×C3×#237C22semidirect
40. C2×C3×D3×D4C22semidirect
41. C2×#3811C22semidirect
42. C2×D3×#67C22semidirect
43. C22×#626C22semidirect
44. C2×#3805C22semidirect
45. C2×#3804C22semidirect
46. C22×D3×Dic3C22semidirect
48. C2×C4×D32C22semidirect
49. C2×#3796C22semidirect
50. C2×#3795C22semidirect
51. C2×D3×Dic6C22semidirect
52. C3×#953C22semidirect
53. C3×#953C22semidirect
54. C2×C3×#217C22semidirect
55. C3×#940C22semidirect
56. C3×#939C22semidirect
57. C3×#939C22semidirect
58. C3×#938C22semidirect
59. C3×#938C22semidirect
60. C3×#937C22semidirect
61. C3×#936C22semidirect
62. C3×#935C22semidirect
63. C3×D4×Dic3C22semidirect
64. C3×D4×Dic3C22semidirect
65. C3×#930C22semidirect
66. C3×C4×#67C22semidirect
67. C3×C4×#67C22semidirect
68. C3×#924C22semidirect
69. #63983C22semidirect
70. #63982C22semidirect
71. #63981C22semidirect
72. #63981C22semidirect
73. #63981C22semidirect
74. #63981C22semidirect
75. #63980C22semidirect
76. #63979C22semidirect
77. #63979C22semidirect
78. #63978C22semidirect
79. #63978C22semidirect
80. #63977C22semidirect
81. #63975C22semidirect
82. #63974C22semidirect
83. #67⋊Dic3C22semidirect
84. #67⋊Dic3C22semidirect
85. #63971C22semidirect
86. #63971C22semidirect
87. #63971C22semidirect
88. #63971C22semidirect
89. #63971C22semidirect
90. #63971C22semidirect
91. #63971C22semidirect
92. #63971C22semidirect
93. #63971C22semidirect
94. #63971C22semidirect
95. #63971C22semidirect
96. C2×#3724C22semidirect
97. #63966C22semidirect
98. C2×#3722C22semidirect
99. #63958C22semidirect
100. #63957C22semidirect
101. #63953C22semidirect
102. #63953C22semidirect
103. #63952C22semidirect
104. #63952C22semidirect
105. #63923C22semidirect
106. #63916C22semidirect
107. #63912C22semidirect
108. #63911C22semidirect
109. #63910C22semidirect
110. #63909C22semidirect
111. #63909C22semidirect
112. C4×#626C22semidirect
113. C4×#626C22semidirect
114. #63900C22semidirect
115. #63897C22semidirect
116. #63896C22semidirect
117. #63896C22semidirect
118. #63896C22semidirect
119. #63881C22semidirect
120. #63881C22semidirect
121. #63874C22semidirect
122. #63871C22semidirect
123. #63865C22semidirect
124. #63864C22semidirect
125. #63844C22semidirect
126. #63844C22semidirect
135. #5806D3semidirect
139. D4×#67D3semidirect
197. #3830D4semidirect
302. C22×C3×D4C2×D3semidirect
303. C22×C3×D4C2×D3semidirect
312. C22×#67C2×D3semidirect
335. C2×#237C2×D3semidirect
348. C2×D3×D4C2×D3semidirect
380. #953C2×D3semidirect
381. #953C2×D3semidirect
382. C2×#217C2×D3semidirect
390. #940C2×D3semidirect
406. #939C2×D3semidirect
407. #939C2×D3semidirect
410. #938C2×D3semidirect
411. #938C2×D3semidirect
418. #937C2×D3semidirect
419. #936C2×D3semidirect
420. #935C2×D3semidirect
423. D4×Dic3C2×D3semidirect
424. D4×Dic3C2×D3semidirect
429. #930C2×D3semidirect
435. C4×#67C2×D3semidirect
436. C4×#67C2×D3semidirect
439. #924C2×D3semidirect
538. C32×D4C2×D4semidirect
548. #638C2×D4semidirect
550. C2×C3⋊Dic3C2×D4semidirect
558. C4×C3⋊D3C2×D4semidirect
560. #634C2×D4semidirect
937. C2×C3×D3H(5,𝔽2)semidirect
976. C22×D4D32semidirect
1135. C3×D4D3×D4semidirect
1136. C3×D4D3×D4semidirect
1498. C2×D3#1004semidirect
1532. C32#3488semidirect
1591. D4#3811semidirect
1705. C3#86607semidirect
1706. C3#86629semidirect

Maximal subgroups

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

subgroupindex
C2×#643612
C2×D3×#2372
C3×#58062
C3×D4×#672
#105955262
#105955022
#105955002
C2×#639712
#105952922
#105952822
#105952542
D4×#6262
#105952192
#105951682
#105951662
#105951642
#105951632
#105951612
#105951602
#105950762
#105949232
#105949192
#105949162
#866293
#866073