Finite Group Databasebeta

← #11904620

Subgroups — #11904620

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
1C2×#64314C211yesmaximal, characteristic, complemented
2C22×#3799C211yesmaximal, characteristic, complemented
3#10596080C211yesmaximal, characteristic, complemented
4C3×D3×#121C211yesmaximal, characteristic, complemented
5C3×#5598C211yesmaximal, characteristic, complemented
6#10595298C212yesmaximal, complemented
7#10595291C212yesmaximal, complemented
8#10595243C211yesmaximal, characteristic, complemented
9#10595236C211yesmaximal, characteristic, complemented
10#10595235C211yesmaximal, characteristic, complemented
11D4×#626C212yesmaximal, complemented
12#10595138C212yesmaximal, complemented
13#10595074C211yesmaximal, characteristic, complemented
14#10595002C211yesmaximal, characteristic, complemented
15#10594900C211yesmaximal, characteristic, complemented
16#10594633C211yesmaximal, characteristic, complemented
17#10594524C211yesmaximal, characteristic, complemented
18#10594523C211yesmaximal, characteristic, complemented
19#10594327C211yesmaximal, characteristic, complemented
20#10594287C212yesmaximal, complemented
21#10594280C212yesmaximal, complemented
22#10594187C212yesmaximal, complemented
23#10594069C212yesmaximal, complemented
24#86713—31nomaximal
25#85949—31nomaximal
26C2×D4×C3⋊D3C2211yescharacteristic, complemented
27C2×D4×C3⋊D3C2212yescomplemented
28C22×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
29C2×C3×#237C2211yescharacteristic, complemented
30C2×C3×D3×D4C2211yescharacteristic, complemented
31C2×C3×D3×D4C2212yescomplemented
32C22×C3×C4×D3C2211yescharacteristic, complemented
33C22×C3×Dic6C2211yescharacteristic, complemented
34C2×#3811C2212yescomplemented
35C2×#3811C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C22×#626C2212yescomplemented
38C22×#626C2212yescomplemented
39C22×#624C2212yescomplemented
40C2×#3804C2212yescomplemented
41#64314—28no—
42C2×D3×D12C2211yescharacteristic, complemented
43C2×#3799—28no—
44C2×#3799C2211yescharacteristic
45C2×#3799C2212yescomplemented
46C2×#3799C2211yescharacteristic, complemented
47C2×#3799C2212yescomplemented
48C2×#3799C2211yescharacteristic, complemented
49C2×#3799C2211yescharacteristic, complemented
50C2×#3798C2211yescharacteristic, complemented
51C2×#3796C2211yescharacteristic, complemented
52C32×#121C2211yescharacteristic, complemented
53#64149C2211yescharacteristic, complemented
54#64146C2212yescomplemented
55C4×#638C2211yescharacteristic, complemented
56#64104C2211yescharacteristic, complemented
57#64102C2211yescharacteristic, complemented
58#64093C2212yescomplemented
59#64091C2212yescomplemented
60C3×#939C2212yescomplemented
61C3×#939C2212yescomplemented
62C3×#938C2211yescharacteristic, complemented
63C3×#936C2211yescharacteristic, complemented
64C3×D4×Dic3C2212yescomplemented
65C3×#930C2211yescharacteristic, complemented
66C3×C4×#67C2211yescharacteristic, complemented
67C3×#897C2211yescharacteristic, complemented
68C3×#895C2211yescharacteristic, complemented
69C3×D3×C4⋊C4C2211yescharacteristic, complemented
70C3×#887C2211yescharacteristic, complemented
71C3×#885C2212yescomplemented
72C3×#884C2212yescomplemented
73C3×D3×C22⋊C4C2212yescomplemented
74C3×#878C2212yescomplemented
75#63981C2212yescomplemented
76#63981C2212yescomplemented
77#63979C2212yescomplemented
78#63978C2212yescomplemented
79#63978C2212yescomplemented
80#63978C2211yescharacteristic, complemented
81#63977C2212yescomplemented
82#63977C2211yescharacteristic, complemented
83#63977C2212yescomplemented
84#63976C2211yescharacteristic, complemented
85#63975C2212yescomplemented
86#63974C2212yescomplemented
87Dic3×#67C2212yescomplemented
88#63964C2211yescharacteristic, complemented
89#63958C2212yescomplemented
90#63958C2212yescomplemented
91#63958C2212yescomplemented
92#63958C2212yescomplemented
93#63952C2212yescomplemented
94#63923C2212yescomplemented
95#63922C2212yescomplemented
96#63921C2212yescomplemented
97#63916C2212yescomplemented
98#63911C2211yescharacteristic, complemented
99#63911C2212yescomplemented
100#63910C2212yescomplemented
101#63910C2212yescomplemented
102#63910C2212yescomplemented
103#63909C2211yescharacteristic, complemented
104#63909C2212yescomplemented
105#63907C2212yescomplemented
106#63906C2211yescharacteristic, complemented
107#63906C2212yescomplemented
108#63905C2211yescharacteristic, complemented
109#63904C2212yescomplemented
110C4×#626C2212yescomplemented
111C4×#626C2211yescharacteristic, complemented
112C4×#625C2211yescharacteristic, complemented
113#63895C2212yescomplemented
114#63894C2211yescharacteristic, complemented
115#63887C2212yescomplemented
116#63886C2212yescomplemented
117#63883C2212yescomplemented
118#63880C2212yescomplemented
119#63871C2211yescharacteristic, complemented
120#63863C2211yescharacteristic, complemented
121#63855C2211yescharacteristic, complemented
122#63854C2212yescomplemented
123#63851C2211yescharacteristic, complemented
124#63850C2211yescharacteristic, complemented
125#63843C2211yescharacteristic, complemented
126#63836C2212yescomplemented
127C2×#1009—31no—
128C22×#239—31no—
129C2×#1004—31no—
130C22×#235—31no—
131C3×#548—31no—
132C2×C3×#121—31no—
133#5834—31no—
134#5817—31no—
135#5805—31no—
136D4×#67—32no—
137D4×#67—32no—
138#5791—31no—
139#5676—31no—
140#5676—32no—
141#5674—31no—
142#5674—32no—
143#5630—31no—
144#5630—32no—
145#5629—31no—
146#5629—32no—
147#5612—31no—
148#5612—31no—
149#5609—32no—
150#5609—31no—
151#5609—31no—
152#5609—31no—
153#5609—61no—
154#5608—32no—
155#5607—32no—
156#5606—32no—
157D3×#121—32no—
158D3×#121—32no—
159D3×#121D311yescharacteristic, complemented
160#5599—31no—
161#5599—31no—
162#5598—31no—
163#5598D311yescharacteristic, complemented
164#5577—31no—
165#5574—31no—
166D4×D12—32no—
167D4×D12—31no—
168#5547—31no—
169#5547—32no—
170#5510—31no—
171#5504—31no—
172#5490—32no—
173#5490—32no—
174C23×C3⋊D3C2312yes—
175C23×C3⋊D3C2312yes—
176C23×C3×D3C2311yescharacteristic
177C23×C3×D3C2312yes—
178C22×D32C2312yes—
179C2×C32×D4C2312yes—
180C2×C32×D4C2311yescharacteristic
181C22×C32×C4C2311yescharacteristic
182C2×#638C2312yes—
183C2×#638C2311yescharacteristic
184C2×#638C2312yes—
185C2×#638C2312yes—
186D4×C3⋊D3—24no—
187D4×C3⋊D3—44no—
188C2×C4⋊(C3⋊D3)—24no—
189C2×C4⋊(C3⋊D3)C2312yes—
190C2×C4⋊(C3⋊D3)C2311yescharacteristic
191C2×C4⋊(C3⋊D3)C2312yes—
192C2×C4⋊(C3⋊D3)C2311yescharacteristic
193C2×C4×C3⋊D3C2311yescharacteristic
194C2×C4×C3⋊D3C2312yes—
195C2×C3×#67C2312yes—
196C2×C3×#67C2312yes—
197C2×C3×#67C2311yescharacteristic
198C2×C3×#67C2312yes—
199C2×C3×#67C2312yes—
200C22×C3×Dic3C2312yes—
201C22×C3×Dic3C2312yes—
202C22×C3×Dic3C2311yescharacteristic
203C3×#237—24no—
204C3×D3×D4—24no—
205C3×D3×D4—44no—
206C2×C3×D12C2311yescharacteristic
207C2×C3×D12C2312yes—
208C2×C3×C4×D3—24no—
209C2×C3×C4×D3C2311yescharacteristic
210C2×C3×C4×D3C2311yescharacteristic
211C2×C3×C4×D3C2311yescharacteristic
212C2×C3×C4×D3C2311yescharacteristic
213C2×C3×C4×D3C2312yes—
214C2×C3×C4×D3C2311yescharacteristic
215C2×C3×Dic6—24no—
216C2×C3×Dic6C2312yes—
217C2×C3×Dic6C2311yescharacteristic
218C2×C3×Dic6C2311yescharacteristic
219#3811—28no—
220#3811—44no—
221D3×#67—28no—
222C2×#627C2311yescharacteristic
223C2×#626—28no—
224C2×#626—28no—
225C2×#626C2312yes—
226C2×#626C2311yescharacteristic
227C2×#626C2311yescharacteristic
228C2×#626C2312yes—
229C2×#626C2312yes—
230C2×#626C2312yes—
231C2×#626C2312yes—
232C2×#626C2312yes—
233C2×#626C2312yes—
234C2×#626C2312yes—
235C2×#626C2311yescharacteristic
236C2×#626C2312yes—
237C2×#625C2311yescharacteristic
238C2×#625C2311yescharacteristic
239C2×#624—28no—
240C2×#624C2312yes—
241C2×#624C2312yes—
242C2×#624C2312yes—
243C2×#624C2312yes—
244C2×#624C2312yes—
245#3804—28no—
246C2×D3×Dic3C2312yes—
247D3×D12—24no—
248#3799—24no—
249#3799—24no—
250#3799—24no—
251#3799—28no—
252#3799—28no—
253#3799D418yescomplemented
254#3798—24no—
255#3796—24no—
256C32×C4⋊C4C2311yescharacteristic
257C32×C22⋊C4C2312yes—
258#3757C2311yescharacteristic
259#3752C2311yescharacteristic
260#3752C2312yes—
261#3752C2312yes—
262#3750C2311yescharacteristic
263C4×C3⋊Dic3C2311yescharacteristic
264C3×#217C2312yes—
265C3×#217C2312yes—
266C3×#217C2312yes—
267C3×#217C2311yescharacteristic
268C3×(C2×D3)⋊C4C2312yes—
269C3×(C2×D3)⋊C4C2312yes—
270C3×(C2×D3)⋊C4C2311yescharacteristic
271C3×(C2×D3)⋊C4C2312yes—
272C3×C4⋊Dic3C2312yes—
273C3×C4⋊Dic3C2311yescharacteristic
274C3×Dic3⋊C4C2311yescharacteristic
275C3×Dic3⋊C4C2312yes—
276C3×Dic3⋊C4C2312yes—
277C3×C4×Dic3C2312yes—
278C3×C4×Dic3C2311yescharacteristic
279#3724C2311yescharacteristic
280Dic3⋊Dic3C2311yescharacteristic
281Dic3⋊Dic3C2312yes—
282Dic3⋊Dic3C2311yescharacteristic
283Dic3⋊Dic3C2312yes—
284Dic3⋊Dic3C2311yescharacteristic
285#3722C2312yes—
286#3722C2311yescharacteristic
287#3722C2312yes—
288#3722C2312yes—
289(C2×D3)⋊Dic3C2311yescharacteristic
290(C2×D3)⋊Dic3C2311yescharacteristic
291(C2×D3)⋊Dic3C2311yescharacteristic
292(C2×D3)⋊Dic3C2312yes—
293(C2×D3)⋊Dic3C2311yescharacteristic
294(C2×D3)⋊Dic3C2312yes—
295(C2×D3)⋊Dic3C2311yescharacteristic
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—31no—
299C22×C3×Q8—31no—
300C22×C3×D4—31no—
301C22×C3×D4—32no—
302C23×C3×C4—31no—
303C22×#67—32no—
304C22×#67—32no—
305C22×#67—32no—
306#1009—68no—
307C2×#239—31no—
308C2×#239—31no—
309C2×#239—32no—
310C2×#239—31no—
311C2×#239—32no—
312C2×#239—31no—
313C2×#239—31no—
314C2×#239—68no—
315#1004—68no—
316C2×#237—32no—
317C2×#237—31no—
318C2×#237C2×D311yescharacteristic, complemented
319C2×D3×D4—32no—
320C2×D3×D4—31no—
321C2×D3×D4—31no—
322C2×D3×D4—32no—
323C2×D3×D4—32no—
324C2×D3×D4—32no—
325C2×D3×D4—32no—
326C2×D3×D4—32no—
327C2×D3×D4—32no—
328C2×D3×D4—31no—
329C2×D3×D4—61no—
330C2×D3×D4—62no—
331C2×D3×D4C2×D311yescharacteristic, complemented
332C2×D3×D4C2×D312yescomplemented
333C2×#235—32no—
334C2×#235—31no—
335C2×#235—31no—
336C2×#235—31no—
337C2×#235—32no—
338C2×#235—31no—
339C2×#235—31no—
340C2×#235—32no—
341C2×#235—31no—
342C2×#235—68no—
343C22×D12—32no—
344C22×D12—32no—
345C22×D12—31no—
346C22×D12—31no—
347C22×D12—31no—
348C22×D12—61no—
349C22×C4×D3—32no—
350C22×C4×D3—32no—
351C22×C4×D3C2×D311yescharacteristic, complemented
352C22×Dic6C2×D311yescharacteristic, complemented
353C3×#124—31no—
354C3×#124—32no—
355C3×C22⋊Q8—31no—
356C3×C22⋊Q8—32no—
357C3×#121—21no—
358C3×#121—31no—
359C3×#121—32no—
360C3×#121—32no—
361C3×#121—31no—
362C3×#121—31no—
363C3×#121—32no—
364C3×#121C2×D311yescharacteristic, complemented
365C3×#121C2×D311yescharacteristic, complemented
366C3×C4×Q8—31no—
367C3×C4×D4—32no—
368C3×C4×D4—31no—
369C2×C3×C4⋊C4—31no—
370C2×C3×C22⋊C4—32no—
371#953—31no—
372#953—32no—
373#953—32no—
374#953—31no—
375#947—31no—
376#947—32no—
377#946—32no—
378#946—31no—
379Q8×Dic3—31no—
380#940—31no—
381#940—31no—
382#940—32no—
383#940—32no—
384#940—32no—
385#940—31no—
386#940—61no—
387#939—32no—
388#939—32no—
389#939—31no—
390#939—32no—
391#939C2×D312yescomplemented
392#939C2×D312yescomplemented
393#938—32no—
394#938—32no—
395#938—32no—
396#938—32no—
397#938—32no—
398#938C2×D311yescharacteristic, complemented
399#937—31no—
400#937—32no—
401#937—32no—
402#937—32no—
403#937—32no—
404#937—32no—
405#937—62no—
406#936—31no—
407#936C2×D311yescharacteristic, complemented
408D4×Dic3—32no—
409D4×Dic3C2×D312yescomplemented
410#930—31no—
411#930—32no—
412#930—32no—
413#930—32no—
414#930—31no—
415#930—32no—
416#930—31no—
417#930C2×D311yescharacteristic, complemented
418#929—31no—
419#929—31no—
420C4×#67—31no—
421C4×#67—31no—
422C4×#67—32no—
423C4×#67—31no—
424C4×#67—31no—
425C4×#67—32no—
426C4×#67—32no—
427C4×#67—32no—
428C4×#67—31no—
429C4×#67—61no—
430C4×#67C2×D311yescharacteristic, complemented
431#926—31no—
432#924—31no—
433#924—31no—
434#897—31no—
435#897—32no—
436#897C2×D311yescharacteristic, complemented
437#896—31no—
438#896—32no—
439#895—32no—
440#895—32no—
441#895—31no—
442#895—32no—
443#895—31no—
444#895—31no—
445#895—32no—
446#895—32no—
447#895—32no—
448#895—61no—
449#895C2×D311yescharacteristic, complemented
450#894—31no—
451#894—32no—
452#893—32no—
453#893—31no—
454#893—31no—
455#893—31no—
456#893—61no—
457#892—32no—
458D3×C4⋊C4—32no—
459D3×C4⋊C4—32no—
460D3×C4⋊C4C2×D311yescharacteristic, complemented
461#887—31no—
462#887C2×D311yescharacteristic, complemented
463#885—32no—
464#885C2×D312yescomplemented
465#884—32no—
466#884—32no—
467#884—32no—
468#884—32no—
469#884—31no—
470#884—32no—
471#884—32no—
472#884—32no—
473#884—32no—
474#884—32no—
475#884—32no—
476#884—62no—
477#884C2×D312yescomplemented
478#883—31no—
479#883—32no—
480#883—32no—
481#883—32no—
482#882—32no—
483#882—32no—
484#882—31no—
485#882—32no—
486#882—32no—
487#882—32no—
488#882—32no—
489#882—32no—
490#882—32no—
491#882—32no—
492#882—62no—
493#67⋊C4—32no—
494#67⋊C4—32no—
495D3×C22⋊C4—32no—
496D3×C22⋊C4—32no—
497D3×C22⋊C4—32no—
498D3×C22⋊C4—32no—
499D3×C22⋊C4C2×D312yescomplemented
500#878—31no—
501#878—32no—
502#878C2×D312yescomplemented
503#874—32no—
504#874—31no—
505C4×D12—31no—
506C4×D12—32no—
507C4×D12—32no—
508C4×D12—31no—
509#872—31no—
510#872—32no—
511C23×C32C2412yes—
512C23×C32C2411yescharacteristic
513C22×C3⋊D3—24no—
514C22×C3⋊D3—24no—
515C22×C3⋊D3—24no—
516C22×C3⋊D3—42no—
517C22×C3⋊D3—42no—
518C22×C3⋊D3—42no—
519C22×C3⋊D3C2411yescharacteristic
520C22×C3⋊D3C2412yes—
521C22×C3⋊D3C2412yes—
522C22×C3×D3—22no—
523C22×C3×D3—22no—
524C22×C3×D3—24no—
525C22×C3×D3—41no—
526C22×C3×D3—42no—
527C22×C3×D3—42no—
528C22×C3×D3C2411yescharacteristic
529C22×C3×D3C2412yes—
530C22×C3×D3C2411yescharacteristic
531C22×C3×D3C2411yescharacteristic
532C2×D32—24no—
533C2×D32—42no—
534C2×D32—42no—
535C32×D4—24no—
536C32×D4—22no—
537C2×C32×C4—22no—
538C2×C32×C4C2412yes—
539C2×C32×C4C2411yescharacteristic
540C2×C32×C4C2411yescharacteristic
541#638—22no—
542#638—24no—
543#638—42no—
544#638—42no—
545C2×C3⋊Dic3C2411yescharacteristic
546C2×C3⋊Dic3C2411yescharacteristic
547C2×C3⋊Dic3C2411yescharacteristic
548C4⋊(C3⋊D3)—24no—
549C4⋊(C3⋊D3)—22no—
550C4⋊(C3⋊D3)—42no—
551C4⋊(C3⋊D3)C2×D414yescomplemented
552C4×C3⋊D3—22no—
553C4×C3⋊D3—42no—
554C3×#67—22no—
555C3×#67—24no—
556C3×#67—24no—
557C3×#67—24no—
558C3×#67—42no—
559C2×C3×Dic3—24no—
560C2×C3×Dic3—22no—
561C2×C3×Dic3—24no—
562C2×C3×Dic3C2412yes—
563C2×C3×Dic3C2411yescharacteristic
564C2×C3×Dic3C2412yes—
565C2×C3×Dic3C2411yescharacteristic
566C2×C3×Dic3C2411yescharacteristic
567C2×C3×Dic3C2411yescharacteristic
568C2×C3×Dic3C2412yes—
569C2×C3×Dic3C2411yescharacteristic
570C3×D12—22no—
571C3×D12—42no—
572C3×C4×D3—22no—
573C3×C4×D3—22no—
574C3×C4×D3—22no—
575C3×C4×D3—22no—
576C3×C4×D3—42no—
577C3×C4×D3C2×D414yescomplemented
578C3×Dic6—22no—
579C3×Dic6—24no—
580C3×Dic6C2×D414yescomplemented
581#627—22no—
582#626—24no—
583#626—24no—
584#626—22no—
585#626—24no—
586#626—24no—
587#626—22no—
588#626—24no—
589#626—41no—
590#626—42no—
591#626—42no—
592#626—42no—
593#626C2×D418yescomplemented
594#625—22no—
595#625—41no—
596#624—24no—
597#624—24no—
598#624—24no—
599#624—42no—
600#624C2×D418yescomplemented
601D3×Dic3—24no—
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—91no—
605#550—91no—
606#548—31no—
607#548—91no—
608#546—92no—
609#546—92no—
610#546—91no—
611#546—91no—
612D42—91no—
613D42—92no—
614D42—92no—
615D42—91no—
616#537—91no—
617#537—92no—
618#535—92no—
619#535—91no—
620#525—92no—
621#525—91no—
622C2×#121—31no—
623C2×#121—92no—
624#520—91no—
625C24×C3—31no—
626C24×C3—32no—
627C23×D3—32no—
628C23×D3—32no—
629C23×D3—32no—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3—62no—
634C23×D3—62no—
635C23×D3C22×D311yescharacteristic
636C23×D3C22×D312yes—
637C3×#41—64no—
638C2×C3×Q8—31no—
639C2×C3×Q8—32no—
640C2×C3×Q8—31no—
641C2×C3×Q8—64no—
642C2×C3×D4—22no—
643C2×C3×D4—21no—
644C2×C3×D4—32no—
645C2×C3×D4—31no—
646C2×C3×D4—32no—
647C2×C3×D4—32no—
648C2×C3×D4—32no—
649C2×C3×D4—31no—
650C2×C3×D4—32no—
651C2×C3×D4—64no—
652C2×C3×D4—124no—
653C2×C3×D4C22×D312yes—
654C2×C3×D4C22×D311yescharacteristic
655C2×C3×D4C22×D312yes—
656C2×C3×D4C22×D311yescharacteristic
657C22×C3×C4—21no—
658C22×C3×C4—31no—
659C22×C3×C4—31no—
660C22×C3×C4—32no—
661C22×C3×C4—32no—
662C22×C3×C4—31no—
663C22×C3×C4—31no—
664C22×C3×C4—31no—
665C22×C3×C4—31no—
666C22×C3×C4—32no—
667C22×C3×C4—64no—
668C22×C3×C4C22×D311yescharacteristic
669C22×C3×C4C22×D311yescharacteristic
670C2×#67—31no—
671C2×#67—32no—
672C2×#67—32no—
673C2×#67—31no—
674C2×#67—31no—
675C2×#67—31no—
676C2×#67—32no—
677C2×#67—32no—
678C2×#67—32no—
679C2×#67—32no—
680C2×#67—31no—
681C2×#67—31no—
682C2×#67—32no—
683C2×#67—32no—
684C2×#67—31no—
685C2×#67—32no—
686C2×#67—31no—
687C2×#67—32no—
688C2×#67—32no—
689C2×#67—32no—
690C2×#67—32no—
691C2×#67—32no—
692C2×#67—32no—
693C2×#67—31no—
694C2×#67—61no—
695C2×#67—62no—
696C2×#67—62no—
697C2×#67—62no—
698C2×#67—68no—
699C2×#67—68no—
700C2×#67—68no—
701C2×#67C22×D312yes—
702C2×#67C22×D312yes—
703C2×#67C22×D312yes—
704C2×#67C22×D311yescharacteristic
705C2×#67C22×D312yes—
706C22×Dic3—32no—
707C22×Dic3C22×D311yescharacteristic
708C22×Dic3C22×D312yes—
709C22×Dic3C22×D312yes—
710#239—38no—
711#239—68no—
712#239—68no—
713#239—64no—
714#239—64no—
715#239—64no—
716#239—64no—
717#237—24no—
718#237—68no—
719#237—64no—
720D3×D4—24no—
721D3×D4—44no—
722D3×D4—64no—
723D3×D4—68no—
724D3×D4—68no—
725D3×D4—64no—
726D3×D4—64no—
727D3×D4—68no—
728D3×D4—124no—
729D3×D4—124no—
730D3×D4—124no—
731D3×D4—124no—
732D3×D4—124no—
733D3×D4—128no—
734#235—38no—
735#235—68no—
736#235—64no—
737#235—68no—
738#235—64no—
739#235—64no—
740#235—68no—
741#235—64no—
742#235—64no—
743C2×D12—32no—
744C2×D12—31no—
745C2×D12—31no—
746C2×D12—32no—
747C2×D12—32no—
748C2×D12—32no—
749C2×D12—32no—
750C2×D12—32no—
751C2×D12—31no—
752C2×D12—31no—
753C2×D12—31no—
754C2×D12—32no—
755C2×D12—32no—
756C2×D12—31no—
757C2×D12—31no—
758C2×D12—32no—
759C2×D12—32no—
760C2×D12—32no—
761C2×D12—32no—
762C2×D12—32no—
763C2×D12—61no—
764C2×D12—62no—
765C2×D12—62no—
766C2×D12—61no—
767C2×D12—64no—
768C2×D12—64no—
769C2×D12—64no—
770C2×D12—68no—
771C2×D12—68no—
772C2×D12—124no—
773C2×D12C22×D311yescharacteristic
774C2×D12C22×D312yes—
775C2×C4×D3—24no—
776C2×C4×D3—32no—
777C2×C4×D3—32no—
778C2×C4×D3—32no—
779C2×C4×D3—31no—
780C2×C4×D3—31no—
781C2×C4×D3—32no—
782C2×C4×D3—32no—
783C2×C4×D3—32no—
784C2×C4×D3—32no—
785C2×C4×D3—32no—
786C2×C4×D3—32no—
787C2×C4×D3—32no—
788C2×C4×D3—32no—
789C2×C4×D3—32no—
790C2×C4×D3—32no—
791C2×C4×D3—62no—
792C2×C4×D3—61no—
793C2×C4×D3—68no—
794C2×C4×D3—68no—
795C2×C4×D3C22×D311yescharacteristic
796C2×C4×D3C22×D311yescharacteristic
797C2×C4×D3C22×D311yescharacteristic
798C2×C4×D3C22×D311yescharacteristic
799C2×C4×D3C22×D312yes—
800C2×C4×D3C22×D311yescharacteristic
801C2×Dic6—24no—
802C2×Dic6—31no—
803C2×Dic6—31no—
804C2×Dic6C22×D312yes—
805C2×Dic6C22×D311yescharacteristic
806C2×Dic6C22×D311yescharacteristic
807C3×C4⋊C4—21no—
808C3×C4⋊C4—31no—
809C3×C4⋊C4—32no—
810C3×C4⋊C4—32no—
811C3×C4⋊C4—31no—
812C3×C4⋊C4—32no—
813C3×C4⋊C4C22×D311yescharacteristic
814C3×C4⋊C4C22×D311yescharacteristic
815C3×C22⋊C4—22no—
816C3×C22⋊C4—31no—
817C3×C22⋊C4—32no—
818C3×C22⋊C4—32no—
819C3×C22⋊C4—32no—
820C3×C22⋊C4—32no—
821C3×C22⋊C4—32no—
822C3×C22⋊C4—32no—
823C3×C22⋊C4—31no—
824C3×C22⋊C4C22×D312yes—
825C3×C22⋊C4C22×D312yes—
826C3×C42—32no—
827C3×C42—31no—
828#217—31no—
829#217—31no—
830#217—32no—
831#217—31no—
832#217—32no—
833#217—31no—
834#217—31no—
835#217—31no—
836#217—31no—
837#217—61no—
838#217C22×D312yes—
839#217C22×D312yes—
840#217C22×D312yes—
841#217C22×D311yescharacteristic
842(C2×D3)⋊C4—31no—
843(C2×D3)⋊C4—31no—
844(C2×D3)⋊C4—31no—
845(C2×D3)⋊C4—31no—
846(C2×D3)⋊C4—32no—
847(C2×D3)⋊C4—32no—
848(C2×D3)⋊C4—31no—
849(C2×D3)⋊C4—32no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—32no—
852(C2×D3)⋊C4—31no—
853(C2×D3)⋊C4—31no—
854(C2×D3)⋊C4—32no—
855(C2×D3)⋊C4—32no—
856(C2×D3)⋊C4—31no—
857(C2×D3)⋊C4—31no—
858(C2×D3)⋊C4—32no—
859(C2×D3)⋊C4—32no—
860(C2×D3)⋊C4—32no—
861(C2×D3)⋊C4—32no—
862(C2×D3)⋊C4—32no—
863(C2×D3)⋊C4—61no—
864(C2×D3)⋊C4—62no—
865(C2×D3)⋊C4—62no—
866(C2×D3)⋊C4C22×D312yes—
867(C2×D3)⋊C4C22×D312yes—
868(C2×D3)⋊C4C22×D312yes—
869(C2×D3)⋊C4C22×D311yescharacteristic
870C4⋊Dic3—31no—
871C4⋊Dic3—32no—
872C4⋊Dic3—32no—
873C4⋊Dic3—31no—
874C4⋊Dic3—31no—
875C4⋊Dic3C22×D311yescharacteristic
876C4⋊Dic3C22×D312yes—
877Dic3⋊C4—31no—
878Dic3⋊C4—31no—
879Dic3⋊C4—31no—
880Dic3⋊C4—31no—
881Dic3⋊C4—32no—
882Dic3⋊C4—31no—
883Dic3⋊C4—31no—
884Dic3⋊C4—31no—
885Dic3⋊C4—32no—
886Dic3⋊C4—61no—
887Dic3⋊C4C22×D312yes—
888Dic3⋊C4C22×D311yescharacteristic
889Dic3⋊C4C22×D312yes—
890C4×Dic3—31no—
891C4×Dic3—31no—
892C4×Dic3—32no—
893C4×Dic3—32no—
894C4×Dic3—61no—
895C4×Dic3C22×D312yes—
896C4×Dic3C22×D311yescharacteristic
897C22×C32—21no—
898C22×C32—21no—
899C22×C32—22no—
900C22×C32—22no—
901C22×C32—22no—
902C22×C32H(5,𝔽2)12yescomplemented
903C22×C32C2511yescharacteristic
904C2×C3⋊D3—21no—
905C2×C3⋊D3—22no—
906C2×C3⋊D3—22no—
907C2×C3⋊D3—22no—
908C2×C3⋊D3—21no—
909C2×C3⋊D3—22no—
910C2×C3⋊D3—22no—
911C2×C3⋊D3—21no—
912C2×C3⋊D3—48no—
913C2×C3⋊D3—84no—
914C2×C3⋊D3C22×D414yes—
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×C4—22no—
932C32×C4C22×D412yes—
933C3⋊Dic3—21no—
934C3⋊Dic3—21no—
935C3⋊Dic3—21no—
936C3×Dic3—21no—
937C3×Dic3—22no—
938C3×Dic3—21no—
939C3×Dic3—21no—
940C3×Dic3—22no—
941C3×Dic3—21no—
942C3×Dic3C22×D414yes—
943C3×Dic3C22×D412yes—
944H(5,𝔽2)—188no—
945C2×#41—31no—
946C2×#41—91no—
947C2×#41—92no—
948C2×#41—91no—
949C2×#41—91no—
950C2×#41—92no—
951C2×#41—92no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41—91no—
955C2×#41—188no—
956C22×Q8—31no—
957C22×D4—31no—
958C22×D4—32no—
959C22×D4—91no—
960C22×D4—92no—
961C22×D4—92no—
962C22×D4—92no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—91no—
966C22×D4—92no—
967C22×D4—91no—
968C23×C4—31no—
969C23×C4—92no—
970#127—91no—
971#127—92no—
972#127—92no—
973#127—91no—
974#124—31no—
975#124—32no—
976#124—92no—
977#124—91no—
978#123—92no—
979#123—92no—
980#123—91no—
981#123—91no—
982C22⋊Q8—31no—
983C22⋊Q8—32no—
984C22⋊Q8—91no—
985C22⋊Q8—92no—
986C22⋊Q8—92no—
987C22⋊Q8—91no—
988C22⋊Q8—91no—
989#121—32no—
990#121—31no—
991#121—32no—
992#121—31no—
993#121—31no—
994#121—32no—
995#121—92no—
996#121—92no—
997#121—92no—
998#121—91no—
999#121—92no—
1000#121—92no—
1001#121—92no—
1002#121—92no—
1003#121—92no—
1004#121—92no—
1005#121—91no—
1006#121—92no—
1007#121—92no—
1008#121—91no—
1009#121—92no—
1010#121—92no—
1011#121—91no—
1012#121—92no—
1013#121D3211yescharacteristic, complemented
1014#120—92no—
1015#120—92no—
1016#120—92no—
1017#120—92no—
1018#120—91no—
1019#120—92no—
1020#120—92no—
1021#120—91no—
1022#120—92no—
1023#120—92no—
1024C4×Q8—31no—
1025C4×Q8—91no—
1026C4×D4—32no—
1027C4×D4—31no—
1028C4×D4—92no—
1029C4×D4—91no—
1030C4×D4—92no—
1031C4×D4—91no—
1032C4×D4—92no—
1033C4×D4—92no—
1034C4×D4—91no—
1035C4×D4—92no—
1036C4×D4—91no—
1037C4×D4—91no—
1038#117—92no—
1039#117—91no—
1040C2×C4⋊C4—31no—
1041C2×C4⋊C4—92no—
1042C2×C22⋊C4—32no—
1043C2×C22⋊C4—92no—
1044C2×C22⋊C4—92no—
1045C23×C3—21no—
1046C23×C3—22no—
1047C23×C3—31no—
1048C23×C3—32no—
1049C23×C3—31no—
1050C23×C3—31no—
1051C23×C3—62no—
1052C23×C3—64no—
1053C23×C3—62no—
1054C23×C3—121no—
1055C23×C3—122no—
1056C23×C3—122no—
1057C23×C3C23×D312yes—
1058C23×C3C23×D312yes—
1059C23×C3C23×D311yescharacteristic
1060C23×C3C23×D311yescharacteristic
1061C22×D3—22no—
1062C22×D3—22no—
1063C22×D3—24no—
1064C22×D3—32no—
1065C22×D3—32no—
1066C22×D3—31no—
1067C22×D3—31no—
1068C22×D3—32no—
1069C22×D3—32no—
1070C22×D3—41no—
1071C22×D3—42no—
1072C22×D3—42no—
1073C22×D3—62no—
1074C22×D3—61no—
1075C22×D3—62no—
1076C22×D3—64no—
1077C22×D3—64no—
1078C22×D3—64no—
1079C22×D3—64no—
1080C22×D3—64no—
1081C22×D3—64no—
1082C22×D3—64no—
1083C22×D3—64no—
1084C22×D3—124no—
1085C22×D3—124no—
1086C22×D3—124no—
1087C22×D3—122no—
1088C22×D3—122no—
1089C22×D3—122no—
1090C22×D3—122no—
1091C22×D3—122no—
1092C22×D3—122no—
1093C22×D3—122no—
1094C22×D3—122no—
1095C22×D3—122no—
1096C22×D3—122no—
1097C22×D3—124no—
1098C22×D3—242no—
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—42no—
1112C3×D4—44no—
1113C3×D4—64no—
1114C3×D4—64no—
1115C3×D4—62no—
1116C3×D4—64no—
1117C3×D4—62no—
1118C3×D4—122no—
1119C3×D4—122no—
1120C2×C3×C4—22no—
1121C2×C3×C4—22no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—22no—
1125C2×C3×C4—32no—
1126C2×C3×C4—31no—
1127C2×C3×C4—34no—
1128C2×C3×C4—32no—
1129C2×C3×C4—31no—
1130C2×C3×C4—31no—
1131C2×C3×C4—31no—
1132C2×C3×C4—32no—
1133C2×C3×C4—31no—
1134C2×C3×C4—42no—
1135C2×C3×C4—62no—
1136C2×C3×C4—62no—
1137C2×C3×C4—62no—
1138C2×C3×C4—64no—
1139C2×C3×C4—64no—
1140C2×C3×C4—62no—
1141C2×C3×C4—62no—
1142C2×C3×C4—122no—
1143C2×C3×C4C23×D312yes—
1144C2×C3×C4C23×D311yescharacteristic
1145C2×C3×C4C23×D311yescharacteristic
1146C2×C3×C4C23×D312yes—
1147C2×C3×C4C23×D311yescharacteristic
1148C2×C3×C4C23×D311yescharacteristic
1149#67—24no—
1150#67—22no—
1151#67—24no—
1152#67—24no—
1153#67—38no—
1154#67—42no—
1155#67—64no—
1156#67—64no—
1157#67—64no—
1158#67—62no—
1159#67—62no—
1160#67—64no—
1161#67—64no—
1162#67—64no—
1163#67—62no—
1164#67—62no—
1165#67—62no—
1166#67—64no—
1167#67—62no—
1168#67—64no—
1169#67—124no—
1170#67—122no—
1171#67—122no—
1172#67—122no—
1173#67—121no—
1174#67—121no—
1175#67—121no—
1176#67—122no—
1177#67—122no—
1178#67—122no—
1179#67—122no—
1180#67—124no—
1181#67—242no—
1182C2×Dic3—24no—
1183C2×Dic3—22no—
1184C2×Dic3—24no—
1185C2×Dic3—31no—
1186C2×Dic3—31no—
1187C2×Dic3—31no—
1188C2×Dic3—31no—
1189C2×Dic3—31no—
1190C2×Dic3—31no—
1191C2×Dic3—61no—
1192C2×Dic3—61no—
1193C2×Dic3—61no—
1194C2×Dic3—64no—
1195C2×Dic3C23×D312yes—
1196C2×Dic3C23×D311yescharacteristic
1197C2×Dic3C23×D311yescharacteristic
1198C2×Dic3C23×D311yescharacteristic
1199C2×Dic3C23×D311yescharacteristic
1200C2×Dic3C23×D312yes—
1201C2×Dic3C23×D312yes—
1202C2×Dic3C23×D311yescharacteristic
1203D12—22no—
1204D12—38no—
1205D12—34no—
1206D12—34no—
1207D12—42no—
1208D12—64no—
1209D12—64no—
1210D12—64no—
1211D12—64no—
1212D12—64no—
1213D12—62no—
1214D12—64no—
1215D12—64no—
1216D12—62no—
1217D12—64no—
1218D12—62no—
1219D12—62no—
1220D12—122no—
1221D12—124no—
1222D12—122no—
1223D12—122no—
1224D12—124no—
1225D12—121no—
1226D12—122no—
1227D12—122no—
1228D12—122no—
1229C4×D3—22no—
1230C4×D3—22no—
1231C4×D3—22no—
1232C4×D3—22no—
1233C4×D3—38no—
1234C4×D3—38no—
1235C4×D3—42no—
1236C4×D3—64no—
1237C4×D3—64no—
1238C4×D3—64no—
1239C4×D3—64no—
1240C4×D3—64no—
1241C4×D3—62no—
1242C4×D3—62no—
1243C4×D3—64no—
1244C4×D3—64no—
1245C4×D3—122no—
1246C4×D3—122no—
1247C4×D3—122no—
1248C4×D3—122no—
1249C4×D3—122no—
1250C4×D3—124no—
1251C4×D3D3×D414yescomplemented
1252Dic6—22no—
1253Dic6—24no—
1254Dic6—62no—
1255Dic6—62no—
1256Dic6D3×D414yescomplemented
1257C2×C32—22no—
1258C2×C32—42no—
1259C2×C32C23×D411yescharacteristic
1260C2×C32C2×H(5,𝔽2)11yescharacteristic
1261C2×C32#58511yescharacteristic
1262C3⋊D3—24no—
1263C3⋊D3—41no—
1264C3⋊D3—42no—
1265C3×D3—22no—
1266C3×D3—41no—
1267C3×D3—42no—
1268C3×D3—41no—
1269C24—31no—
1270C24—32no—
1271C24—92no—
1272C24—92no—
1273C24—92no—
1274#41—64no—
1275#41—98no—
1276#41—184no—
1277#41—184no—
1278#41—188no—
1279#41—188no—
1280#41—188no—
1281#41—184no—
1282#41—184no—
1283#41—184no—
1284C2×Q8—31no—
1285C2×Q8—32no—
1286C2×Q8—31no—
1287C2×Q8—64no—
1288C2×Q8—91no—
1289C2×D4—31no—
1290C2×D4—32no—
1291C2×D4—32no—
1292C2×D4—32no—
1293C2×D4—32no—
1294C2×D4—31no—
1295C2×D4—32no—
1296C2×D4—64no—
1297C2×D4—92no—
1298C2×D4—92no—
1299C2×D4—92no—
1300C2×D4—91no—
1301C2×D4—92no—
1302C2×D4—91no—
1303C2×D4—92no—
1304C2×D4—92no—
1305C2×D4—92no—
1306C2×D4—91no—
1307C2×D4—92no—
1308C2×D4—92no—
1309C2×D4—91no—
1310C2×D4—91no—
1311C2×D4—92no—
1312C2×D4—91no—
1313C2×D4—92no—
1314C2×D4—92no—
1315C2×D4—91no—
1316C2×D4—92no—
1317C2×D4—91no—
1318C2×D4—92no—
1319C2×D4—124no—
1320C2×D4—184no—
1321C2×D4—184no—
1322C2×D4—188no—
1323C2×D4—188no—
1324C2×D4—188no—
1325C2×D4—184no—
1326C2×D4—188no—
1327C2×D4—364no—
1328C2×D4—364no—
1329C2×D4C2×D3212yes—
1330C2×D4C2×D3211yescharacteristic
1331C22×C4—31no—
1332C22×C4—32no—
1333C22×C4—32no—
1334C22×C4—31no—
1335C22×C4—31no—
1336C22×C4—31no—
1337C22×C4—31no—
1338C22×C4—31no—
1339C22×C4—32no—
1340C22×C4—64no—
1341C22×C4—92no—
1342C22×C4—92no—
1343C22×C4—92no—
1344C22×C4—92no—
1345C22×C4—92no—
1346C22×C4—92no—
1347C22×C4—91no—
1348C22×C4—92no—
1349C22×C4—188no—
1350C22×C4C2×D3211yescharacteristic
1351C4⋊C4—32no—
1352C4⋊C4—31no—
1353C4⋊C4—32no—
1354C4⋊C4—31no—
1355C4⋊C4—32no—
1356C4⋊C4—91no—
1357C4⋊C4—92no—
1358C4⋊C4—91no—
1359C4⋊C4—91no—
1360C4⋊C4—91no—
1361C4⋊C4—92no—
1362C4⋊C4—91no—
1363C4⋊C4C2×D3211yescharacteristic
1364C22⋊C4—32no—
1365C22⋊C4—32no—
1366C22⋊C4—31no—
1367C22⋊C4—32no—
1368C22⋊C4—32no—
1369C22⋊C4—32no—
1370C22⋊C4—32no—
1371C22⋊C4—31no—
1372C22⋊C4—91no—
1373C22⋊C4—92no—
1374C22⋊C4—92no—
1375C22⋊C4—92no—
1376C22⋊C4—91no—
1377C22⋊C4—92no—
1378C22⋊C4—91no—
1379C22⋊C4—91no—
1380C22⋊C4—92no—
1381C22⋊C4—91no—
1382C22⋊C4—91no—
1383C22⋊C4—91no—
1384C22⋊C4—92no—
1385C22⋊C4—91no—
1386C22⋊C4—92no—
1387C22⋊C4C2×D3212yes—
1388C42—32no—
1389C42—31no—
1390C42—92no—
1391C42—91no—
1392C22×C3—21no—
1393C22×C3—21no—
1394C22×C3—21no—
1395C22×C3—21no—
1396C22×C3—22no—
1397C22×C3—22no—
1398C22×C3—22no—
1399C22×C3—22no—
1400C22×C3—22no—
1401C22×C3—22no—
1402C22×C3—22no—
1403C22×C3—21no—
1404C22×C3—32no—
1405C22×C3—41no—
1406C22×C3—41no—
1407C22×C3—42no—
1408C22×C3—42no—
1409C22×C3—42no—
1410C22×C3—61no—
1411C22×C3—61no—
1412C22×C3—62no—
1413C22×C3—61no—
1414C22×C3—61no—
1415C22×C3—61no—
1416C22×C3—62no—
1417C22×C3—61no—
1418C22×C3—61no—
1419C22×C3—61no—
1420C22×C3—62no—
1421C22×C3—124no—
1422C22×C3—244no—
1423C22×C3#100412yescomplemented
1424C22×C3#100912yescomplemented
1425C22×C3C24×D311yescharacteristic
1426C22×C3C24×D311yescharacteristic
1427C2×D3—21no—
1428C2×D3—21no—
1429C2×D3—21no—
1430C2×D3—21no—
1431C2×D3—22no—
1432C2×D3—21no—
1433C2×D3—22no—
1434C2×D3—21no—
1435C2×D3—21no—
1436C2×D3—22no—
1437C2×D3—21no—
1438C2×D3—34no—
1439C2×D3—34no—
1440C2×D3—44no—
1441C2×D3—64no—
1442C2×D3—62no—
1443C2×D3—62no—
1444C2×D3—62no—
1445C2×D3—62no—
1446C2×D3—62no—
1447C2×D3—62no—
1448C2×D3—62no—
1449C2×D3—61no—
1450C2×D3—61no—
1451C2×D3—61no—
1452C2×D3—62no—
1453C2×D3—61no—
1454C2×D3—62no—
1455C2×D3—62no—
1456C2×D3—61no—
1457C2×D3—62no—
1458C2×D3—61no—
1459C2×D3—84no—
1460C2×D3—122no—
1461C2×D3—121no—
1462C2×D3—122no—
1463C2×D3—121no—
1464C2×D3—122no—
1465C2×D3—122no—
1466C2×D3—122no—
1467C2×D3—128no—
1468C2×D3—128no—
1469C2×D3—248no—
1470C2×D3—244no—
1471C2×D3—244no—
1472C2×D3—244no—
1473C2×D3—244no—
1474C2×D3—248no—
1475C2×D3C2×D3×D412yes—
1476C3×C4—21no—
1477C3×C4—21no—
1478C3×C4—22no—
1479C3×C4—22no—
1480C3×C4—22no—
1481C3×C4—32no—
1482C3×C4—34no—
1483C3×C4—42no—
1484C3×C4—41no—
1485C3×C4—61no—
1486C3×C4—61no—
1487C3×C4—62no—
1488C3×C4—61no—
1489C3×C4—62no—
1490C3×C4—61no—
1491C3×C4C2×D3×D412yes—
1492C3×C4C2×D3×D412yes—
1493Dic3—22no—
1494Dic3—21no—
1495Dic3—21no—
1496Dic3—22no—
1497Dic3—21no—
1498Dic3—21no—
1499Dic3—62no—
1500Dic3—61no—
1501Dic3—61no—
1502Dic3—61no—
1503Dic3—61no—
1504Dic3—61no—
1505Dic3—61no—
1506Dic3—121no—
1507Dic3—121no—
1508Dic3C2×D3×D414yes—
1509Dic3C2×D3×D412yes—
1510C32#348811yescharacteristic, complemented, Sylow
1511C23—31no—
1512C23—31no—
1513C23—32no—
1514C23—31no—
1515C23—62no—
1516C23—64no—
1517C23—62no—
1518C23—92no—
1519C23—91no—
1520C23—92no—
1521C23—121no—
1522C23—122no—
1523C23—122no—
1524C23—184no—
1525C23—184no—
1526C23—184no—
1527C23—184no—
1528C23—362no—
1529C23—362no—
1530C23—362no—
1531C23—362no—
1532C23—362no—
1533C23C22×D3212yes—
1534C23C22×D3211yescharacteristic
1535Q8—34no—
1536Q8—64no—
1537Q8—62no—
1538Q8—182no—
1539D4—24no—
1540D4—22no—
1541D4—64no—
1542D4—64no—
1543D4—64no—
1544D4—62no—
1545D4—62no—
1546D4—98no—
1547D4—94no—
1548D4—122no—
1549D4—122no—
1550D4—184no—
1551D4—182no—
1552D4—184no—
1553D4—184no—
1554D4—182no—
1555D4—184no—
1556D4—184no—
1557D4—184no—
1558D4—184no—
1559D4—182no—
1560D4—182no—
1561D4—182no—
1562D4—362no—
1563D4—362no—
1564D4—362no—
1565D4—361no—
1566D4—362no—
1567D4—362no—
1568D4—362no—
1569D4—361no—
1570C2×C4—22no—
1571C2×C4—32no—
1572C2×C4—31no—
1573C2×C4—34no—
1574C2×C4—31no—
1575C2×C4—31no—
1576C2×C4—32no—
1577C2×C4—31no—
1578C2×C4—32no—
1579C2×C4—31no—
1580C2×C4—62no—
1581C2×C4—62no—
1582C2×C4—62no—
1583C2×C4—64no—
1584C2×C4—64no—
1585C2×C4—62no—
1586C2×C4—62no—
1587C2×C4—98no—
1588C2×C4—91no—
1589C2×C4—91no—
1590C2×C4—91no—
1591C2×C4—122no—
1592C2×C4—184no—
1593C2×C4—184no—
1594C2×C4—184no—
1595C2×C4—184no—
1596C2×C4—182no—
1597C2×C4—362no—
1598C2×C4—362no—
1599C2×C4C22×D3212yes—
1600C2×C4C22×D3211yescharacteristic
1601C2×C4C22×D3211yescharacteristic
1602C2×C3—22no—
1603C2×C3—22no—
1604C2×C3—21no—
1605C2×C3—21no—
1606C2×C3—21no—
1607C2×C3—42no—
1608C2×C3—42no—
1609C2×C3—42no—
1610C2×C3—62no—
1611C2×C3—82no—
1612C2×C3—122no—
1613C2×C3—121no—
1614C2×C3—121no—
1615C2×C3C22×D3×D411yescharacteristic
1616C2×C3C22×D3×D411yescharacteristic
1617C2×C3C2×#100411yescharacteristic
1618C2×C3C2×#100911yescharacteristic
1619C2×C3#596411yescharacteristic
1620C2×C3#596811yescharacteristic
1621D3—22no—
1622D3—41no—
1623D3—41no—
1624D3—42no—
1625D3—64no—
1626D3—64no—
1627D3—124no—
1628D3—122no—
1629D3—122no—
1630D3—121no—
1631D3—122no—
1632D3—121no—
1633D3—242no—
1634C22—21no—
1635C22—21no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—32no—
1640C22—61no—
1641C22—61no—
1642C22—61no—
1643C22—61no—
1644C22—62no—
1645C22—62no—
1646C22—61no—
1647C22—61no—
1648C22—61no—
1649C22—62no—
1650C22—61no—
1651C22—94no—
1652C22—124no—
1653C22—182no—
1654C22—182no—
1655C22—182no—
1656C22—181no—
1657C22—181no—
1658C22—182no—
1659C22—182no—
1660C22—181no—
1661C22—244no—
1662C22—368no—
1663C22—724no—
1664C22—724no—
1665C22#6431412yescomplemented
1666C22C23×D3211yescharacteristic
1667C4—21no—
1668C4—22no—
1669C4—32no—
1670C4—34no—
1671C4—61no—
1672C4—61no—
1673C4—62no—
1674C4—62no—
1675C4—61no—
1676C4—61no—
1677C4—181no—
1678C4—181no—
1679C4—181no—
1680C4D32×D412yes—
1681C3—21no—
1682C3#8594911yescharacteristic, complemented
1683C3#8671311yescharacteristic, complemented
1684C2—22no—
1685C2—42no—
1686C2—62no—
1687C2—121no—
1688C2—122no—
1689C2—121no—
1690C2—184no—
1691C2—362no—
1692C2—361no—
1693C2C2×D32×D411yescharacteristic
1694C2C2×#6431411yescharacteristic
1695C2#1059669711yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×#121C22
hypercenter#121D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #121

Complements

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

NH ≅ G/Ntype
1. C2×#64314C2semidirect
2. C22×#3799C2semidirect
3. #10596080C2semidirect
4. C3×D3×#121C2semidirect
5. C3×#5598C2semidirect
6. #10595298C2semidirect
7. #10595291C2semidirect
8. #10595243C2semidirect
9. #10595236C2semidirect
10. #10595235C2semidirect
11. D4×#626C2semidirect
12. #10595138C2semidirect
13. #10595074C2semidirect
14. #10595002C2semidirect
15. #10594900C2semidirect
16. #10594633C2semidirect
17. #10594524C2semidirect
18. #10594523C2semidirect
19. #10594327C2semidirect
20. #10594287C2semidirect
21. #10594280C2semidirect
22. #10594187C2semidirect
23. #10594069C2semidirect
26. C2×D4×C3⋊D3C22semidirect
27. C2×D4×C3⋊D3C22semidirect
28. C22×C4⋊(C3⋊D3)C22semidirect
29. C2×C3×#237C22semidirect
30. C2×C3×D3×D4C22semidirect
31. C2×C3×D3×D4C22semidirect
32. C22×C3×C4×D3C22semidirect
33. C22×C3×Dic6C22semidirect
34. C2×#3811C22semidirect
35. C2×#3811C22semidirect
36. C2×D3×#67C22semidirect
37. C22×#626C22semidirect
38. C22×#626C22semidirect
39. C22×#624C22semidirect
40. C2×#3804C22semidirect
42. C2×D3×D12C22semidirect
45. C2×#3799C22semidirect
46. C2×#3799C22semidirect
47. C2×#3799C22semidirect
48. C2×#3799C22semidirect
49. C2×#3799C22semidirect
50. C2×#3798C22semidirect
51. C2×#3796C22semidirect
52. C32×#121C22semidirect
53. #64149C22semidirect
54. #64146C22semidirect
55. C4×#638C22semidirect
56. #64104C22semidirect
57. #64102C22semidirect
58. #64093C22semidirect
59. #64091C22semidirect
60. C3×#939C22semidirect
61. C3×#939C22semidirect
62. C3×#938C22semidirect
63. C3×#936C22semidirect
64. C3×D4×Dic3C22semidirect
65. C3×#930C22semidirect
66. C3×C4×#67C22semidirect
67. C3×#897C22semidirect
68. C3×#895C22semidirect
69. C3×D3×C4⋊C4C22semidirect
70. C3×#887C22semidirect
71. C3×#885C22semidirect
72. C3×#884C22semidirect
73. C3×D3×C22⋊C4C22semidirect
74. C3×#878C22semidirect
75. #63981C22semidirect
76. #63981C22semidirect
77. #63979C22semidirect
78. #63978C22semidirect
79. #63978C22semidirect
80. #63978C22semidirect
81. #63977C22semidirect
82. #63977C22semidirect
83. #63977C22semidirect
84. #63976C22semidirect
85. #63975C22semidirect
86. #63974C22semidirect
87. Dic3×#67C22semidirect
88. #63964C22semidirect
89. #63958C22semidirect
90. #63958C22semidirect
91. #63958C22semidirect
92. #63958C22semidirect
93. #63952C22semidirect
94. #63923C22semidirect
95. #63922C22semidirect
96. #63921C22semidirect
97. #63916C22semidirect
98. #63911C22semidirect
99. #63911C22semidirect
100. #63910C22semidirect
101. #63910C22semidirect
102. #63910C22semidirect
103. #63909C22semidirect
104. #63909C22semidirect
105. #63907C22semidirect
106. #63906C22semidirect
107. #63906C22semidirect
108. #63905C22semidirect
109. #63904C22semidirect
110. C4×#626C22semidirect
111. C4×#626C22semidirect
112. C4×#625C22semidirect
113. #63895C22semidirect
114. #63894C22semidirect
115. #63887C22semidirect
116. #63886C22semidirect
117. #63883C22semidirect
118. #63880C22semidirect
119. #63871C22semidirect
120. #63863C22semidirect
121. #63855C22semidirect
122. #63854C22semidirect
123. #63851C22semidirect
124. #63850C22semidirect
125. #63843C22semidirect
126. #63836C22semidirect
159. D3×#121D3semidirect
163. #5598D3semidirect
253. #3799D4semidirect
318. C2×#237C2×D3semidirect
331. C2×D3×D4C2×D3semidirect
332. C2×D3×D4C2×D3semidirect
351. C22×C4×D3C2×D3semidirect
352. C22×Dic6C2×D3semidirect
364. C3×#121C2×D3semidirect
365. C3×#121C2×D3semidirect
391. #939C2×D3semidirect
392. #939C2×D3semidirect
398. #938C2×D3semidirect
407. #936C2×D3semidirect
409. D4×Dic3C2×D3semidirect
417. #930C2×D3semidirect
430. C4×#67C2×D3semidirect
436. #897C2×D3semidirect
449. #895C2×D3semidirect
460. D3×C4⋊C4C2×D3semidirect
462. #887C2×D3semidirect
464. #885C2×D3semidirect
477. #884C2×D3semidirect
499. D3×C22⋊C4C2×D3semidirect
502. #878C2×D3semidirect
551. C4⋊(C3⋊D3)C2×D4semidirect
577. C3×C4×D3C2×D4semidirect
580. C3×Dic6C2×D4semidirect
593. #626C2×D4semidirect
600. #624C2×D4semidirect
902. C22×C32H(5,𝔽2)semidirect
1013. #121D32semidirect
1251. C4×D3D3×D4semidirect
1256. Dic6D3×D4semidirect
1423. C22×C3#1004semidirect
1424. C22×C3#1009semidirect
1510. C32#3488semidirect
1665. C22#64314semidirect
1682. C3#85949semidirect
1683. C3#86713semidirect

Maximal subgroups

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

subgroupindex
C2×#643142
C22×#37992
#105960802
C3×D3×#1212
C3×#55982
#105952982
#105952912
#105952432
#105952362
#105952352
D4×#6262
#105951382
#105950742
#105950022
#105949002
#105946332
#105945242
#105945232
#105943272
#105942872
#105942802
#105941872
#105940692
#867133
#859493