Finite Group Databasebeta

← #11904677

Subgroups — #11904677

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
2C2×#64312C211yesmaximal, characteristic, complemented
3#10596188C211yesmaximal, characteristic, complemented
4C3×#5718C211yesmaximal, characteristic, complemented
5C3×#5715C211yesmaximal, characteristic, complemented
6#10595299C212yesmaximal, complemented
7#10595298C212yesmaximal, complemented
8#10595297C211yesmaximal, characteristic, complemented
9#10595295C212yesmaximal, complemented
10#10595294C212yesmaximal, complemented
11#10595292C212yesmaximal, complemented
12D3×#938C211yesmaximal, characteristic, complemented
13#10595243C211yesmaximal, characteristic, complemented
14#10595237C211yesmaximal, characteristic, complemented
15#10595232C211yesmaximal, characteristic, complemented
16#10595158C211yesmaximal, characteristic, complemented
17#10595140C212yesmaximal, complemented
18#10595138C212yesmaximal, complemented
19#10595135C212yesmaximal, complemented
20#10594007C211yesmaximal, characteristic, complemented
21#10593997C211yesmaximal, characteristic, complemented
22#10593901C211yesmaximal, characteristic, complemented
23#10593890C211yesmaximal, characteristic, complemented
24#86769—31nomaximal
25#86331—31nomaximal
26C2×D4×C3⋊D3C2211yescharacteristic, complemented
27C2×D4×C3⋊D3C2211yescharacteristic, complemented
28C2×D4×C3⋊D3C2212yescomplemented
29C2×C3×#237C2211yescharacteristic, complemented
30C2×C3×#237C2211yescharacteristic, complemented
31C2×C3×#237C2211yescharacteristic, complemented
32C2×C3×D3×D4C2211yescharacteristic, complemented
33C2×#3811C2212yescomplemented
34C2×#3811C2212yescomplemented
35C2×#3811C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C2×D3×#67C2212yescomplemented
38C22×#626C2212yescomplemented
39C22×#624C2212yescomplemented
40C2×#3804C2212yescomplemented
41C2×#3804C2212yescomplemented
42C2×#3804C2212yescomplemented
43#64314—28no—
44#64312—28no—
45C2×D3×D12C2211yescharacteristic, complemented
46C2×C4×D32C2211yescharacteristic, complemented
47C2×#3799C2211yescharacteristic
48C2×#3799C2211yescharacteristic, complemented
49C2×#3798C2211yescharacteristic, complemented
50C2×#3797C2211yescharacteristic, complemented
51C2×#3796C2211yescharacteristic, complemented
52C32×#127C2211yescharacteristic, complemented
53#64147C2212yescomplemented
54#64147C2211yescharacteristic, complemented
55#64147C2211yescharacteristic, complemented
56#64146C2212yescomplemented
57#64146C2212yescomplemented
58C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
59C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
60C3×#940C2211yescharacteristic, complemented
61C3×#940C2212yescomplemented
62C3×#939C2212yescomplemented
63C3×#939C2212yescomplemented
64C3×#939C2212yescomplemented
65C3×#939C2212yescomplemented
66C3×#938C2211yescharacteristic, complemented
67C3×#938C2211yescharacteristic, complemented
68C3×#937C2212yescomplemented
69C3×#937C2212yescomplemented
70C3×#936C2211yescharacteristic, complemented
71C3×D4×Dic3C2212yescomplemented
72C3×#875C2211yescharacteristic, complemented
73C3×C4×D12C2211yescharacteristic, complemented
74C3×#872C2211yescharacteristic, complemented
75C3×C4×Dic6C2211yescharacteristic, complemented
76#63983C2212yescomplemented
77#63981C2212yescomplemented
78#63981C2212yescomplemented
79#63979C2212yescomplemented
80#63978C2212yescomplemented
81#63978C2212yescomplemented
82#63975C2212yescomplemented
83#63974C2212yescomplemented
84Dic3×#67C2212yescomplemented
85#63971C2212yescomplemented
86#63970C2212yescomplemented
87#63970C2212yescomplemented
88#63970C2212yescomplemented
89D3×#217C2212yescomplemented
90#63964C2212yescomplemented
91#63964C2212yescomplemented
92#63959C2212yescomplemented
93#63958C2212yescomplemented
94#63958C2212yescomplemented
95#63958C2212yescomplemented
96#63958C2212yescomplemented
97#63952C2212yescomplemented
98#63923C2211yescharacteristic, complemented
99#63922C2211yescharacteristic, complemented
100#63922C2212yescomplemented
101#63921C2212yescomplemented
102#63916C2211yescharacteristic, complemented
103#63912C2212yescomplemented
104#63910C2212yescomplemented
105#63910C2211yescharacteristic, complemented
106#63908C2211yescharacteristic, complemented
107C4×#626C2211yescharacteristic, complemented
108C4×#626C2211yescharacteristic, complemented
109#63895C2211yescharacteristic, complemented
110#63894C2211yescharacteristic, complemented
111#63893C2211yescharacteristic, complemented
112#63893C2212yescomplemented
113#63891C2211yescharacteristic, complemented
114#63890C2211yescharacteristic, complemented
115D3×C4⋊Dic3C2211yescharacteristic, complemented
116#63886C2211yescharacteristic, complemented
117#63883C2212yescomplemented
118#63881C2212yescomplemented
119#63880C2212yescomplemented
120#63880C2212yescomplemented
121#63871C2211yescharacteristic, complemented
122#63856C2211yescharacteristic, complemented
123#63854C2212yescomplemented
124#63852C2212yescomplemented
125Dic3×Dic6C2211yescharacteristic, complemented
126#63836C2212yescomplemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C2×D3×#41—31no—
130C2×#1004—31no—
131C3×#550—31no—
132C3×#535—31no—
133#5834—31no—
134#5833—31no—
135#5831—31no—
136C2×#938—31no—
137#5718—31no—
138#5718D311yescharacteristic, complemented
139#5717—31no—
140#5717—31no—
141#5717—31no—
142#5717—32no—
143#5717—61no—
144#5715—32no—
145#5715D311yescharacteristic, complemented
146#5677—31no—
147#5677—31no—
148#5676—31no—
149#5676—31no—
150#5612—32no—
151#5612—31no—
152#5609—31no—
153#5609—32no—
154#5608—31no—
155#5608—32no—
156#5608—32no—
157#5607—32no—
158#5606—32no—
159D3×#121—31no—
160D3×#121—32no—
161D3×#121—32no—
162#5591—32no—
163#5591—32no—
164#5590—32no—
165#5590—32no—
166#5576—31no—
167#5574—31no—
168#5550—32no—
169#5550—31no—
170#5547—32no—
171#5547—31no—
172#5524—31no—
173#5523—31no—
174C23×C3⋊D3C2312yes—
175C23×C3⋊D3C2312yes—
176C23×C3×D3C2312yes—
177C22×D32C2311yescharacteristic
178C22×D32C2312yes—
179C2×C32×D4C2311yescharacteristic
180C2×C32×D4C2311yescharacteristic
181C2×C32×D4C2312yes—
182C2×C32×D4C2312yes—
183C2×#638C2312yes—
184C2×#638C2312yes—
185C2×#638C2312yes—
186C2×#638C2312yes—
187D4×C3⋊D3—24no—
188D4×C3⋊D3—24no—
189D4×C3⋊D3—44no—
190C2×C4⋊(C3⋊D3)C2311yescharacteristic
191C2×C4⋊(C3⋊D3)C2311yescharacteristic
192C2×C4×C3⋊D3C2311yescharacteristic
193C2×C4×C3⋊D3C2311yescharacteristic
194C2×C4×C3⋊D3C2312yes—
195C2×C3×#67C2312yes—
196C2×C3×#67C2312yes—
197C2×C3×#67C2312yes—
198C2×C3×#67C2312yes—
199C2×C3×#67C2312yes—
200C2×C3×#67C2312yes—
201C2×C3×#67C2312yes—
202C2×C3×#67C2312yes—
203C22×C3×Dic3C2312yes—
204C22×C3×Dic3C2312yes—
205C22×C3×Dic3C2312yes—
206C3×#237—24no—
207C3×#237—24no—
208C3×#237—24no—
209C3×D3×D4—24no—
210C2×C3×D12C2311yescharacteristic
211C2×C3×D12C2311yescharacteristic
212C2×C3×C4×D3C2311yescharacteristic
213C2×C3×C4×D3C2311yescharacteristic
214C2×C3×C4×D3C2311yescharacteristic
215C2×C3×Dic6C2311yescharacteristic
216C2×C3×Dic6C2311yescharacteristic
217#3811—28no—
218#3811—28no—
219#3811—44no—
220D3×#67—28no—
221D3×#67—44no—
222C2×#627C2312yes—
223C2×#627C2311yescharacteristic
224C2×#626—28no—
225C2×#626C2312yes—
226C2×#626C2311yescharacteristic
227C2×#626C2311yescharacteristic
228C2×#626C2312yes—
229C2×#626C2312yes—
230C2×#626C2312yes—
231C2×#626C2311yescharacteristic
232C2×#626C2311yescharacteristic
233C2×#626C2312yes—
234C2×#625C2311yescharacteristic
235C2×#625C2312yes—
236C2×#624—28no—
237C2×#624C2312yes—
238C2×#624C2312yes—
239C2×#624C2311yescharacteristic
240C2×#624C2312yes—
241C2×#624C2312yes—
242#3804—28no—
243#3804—28no—
244#3804—28no—
245C2×D3×Dic3C2312yes—
246C2×D3×Dic3C2311yescharacteristic
247C2×D3×Dic3C2311yescharacteristic
248C2×D3×Dic3C2312yes—
249D3×D12—24no—
250C4×D32—24no—
251#3799—24no—
252#3799D418yescomplemented
253#3798—24no—
254#3797—24no—
255#3796—24no—
256C32×C42C2311yescharacteristic
257#3757C2312yes—
258#3757C2312yes—
259#3752C2312yes—
260#3752C2311yescharacteristic
261#3752C2311yescharacteristic
262C4⋊(C3⋊Dic3)C2311yescharacteristic
263C4⋊(C3⋊Dic3)C2311yescharacteristic
264C3×#217C2312yes—
265C3×#217C2312yes—
266C3×#217C2312yes—
267C3×#217C2312yes—
268C3×(C2×D3)⋊C4C2311yescharacteristic
269C3×(C2×D3)⋊C4C2311yescharacteristic
270C3×(C2×D3)⋊C4C2312yes—
271C3×(C2×D3)⋊C4C2312yes—
272C3×(C2×D3)⋊C4C2311yescharacteristic
273C3×(C2×D3)⋊C4C2311yescharacteristic
274C3×C4⋊Dic3C2311yescharacteristic
275C3×C4⋊Dic3C2311yescharacteristic
276C3×Dic3⋊C4C2311yescharacteristic
277C3×Dic3⋊C4C2312yes—
278C3×Dic3⋊C4C2311yescharacteristic
279C3×C4×Dic3C2312yes—
280C3×C4×Dic3C2311yescharacteristic
281#3724C2312yes—
282Dic3⋊Dic3C2312yes—
283Dic3⋊Dic3C2312yes—
284Dic3⋊Dic3C2312yes—
285Dic3⋊Dic3C2311yescharacteristic
286Dic3⋊Dic3C2311yescharacteristic
287#3722C2312yes—
288#3722C2312yes—
289#3722C2311yescharacteristic
290#3722C2311yescharacteristic
291(C2×D3)⋊Dic3C2312yes—
292(C2×D3)⋊Dic3C2312yes—
293(C2×D3)⋊Dic3C2312yes—
294(C2×D3)⋊Dic3C2311yescharacteristic
295(C2×D3)⋊Dic3C2311yescharacteristic
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—31no—
299C2×C3×#41—31no—
300C2×C3×#41—31no—
301C22×C3×D4—31no—
302C22×#67—32no—
303C22×#67—32no—
304C22×#67—32no—
305#1009—68no—
306D3×#41—68no—
307D3×#41—68no—
308C2×#239—31no—
309C2×#239—31no—
310C2×#239—31no—
311C2×D3×Q8—31no—
312C2×D3×Q8—31no—
313#1004—68no—
314C2×#237—32no—
315C2×#237—32no—
316C2×#237—32no—
317C2×#237—31no—
318C2×#237C2×D311yescharacteristic, complemented
319C2×#237C2×D311yescharacteristic, complemented
320C2×#237C2×D311yescharacteristic, complemented
321C2×D3×D4—32no—
322C2×D3×D4—31no—
323C2×D3×D4—31no—
324C2×D3×D4—31no—
325C2×D3×D4—31no—
326C2×D3×D4—32no—
327C2×D3×D4—32no—
328C2×D3×D4—32no—
329C2×D3×D4—32no—
330C2×D3×D4—32no—
331C2×D3×D4—32no—
332C2×D3×D4—32no—
333C2×D3×D4—32no—
334C2×D3×D4—32no—
335C2×D3×D4—31no—
336C2×D3×D4—61no—
337C2×D3×D4—61no—
338C2×D3×D4—62no—
339C2×D3×D4C2×D311yescharacteristic, complemented
340C2×#235—32no—
341C2×#235—32no—
342C2×#235—32no—
343C2×#235—31no—
344C2×#235—31no—
345C2×#235—31no—
346C2×#235—31no—
347C22×D12—32no—
348C22×D12—31no—
349C22×C4×D3—32no—
350C22×C4×D3—32no—
351C22×C4×D3—31no—
352C22×C4×D3—31no—
353C3×#127—21no—
354C3×#127—32no—
355C3×#127—31no—
356C3×#127C2×D311yescharacteristic, complemented
357C3×#127C2×D311yescharacteristic, complemented
358C3×#124—31no—
359C3×#124—31no—
360C3×#121—31no—
361C3×#121—31no—
362C3×#121—32no—
363C3×#121—32no—
364C3×#121—32no—
365C3×#121—32no—
366C3×#120—32no—
367C3×#120—32no—
368C3×C4×Q8—31no—
369C3×C4×D4—32no—
370C3×C4×D4—31no—
371C3×#117—31no—
372C2×#217—32no—
373#946—31no—
374#946—31no—
375Q8×Dic3—31no—
376#940—32no—
377#940—32no—
378#940C2×D311yescharacteristic, complemented
379#940C2×D312yescomplemented
380#939—32no—
381#939—32no—
382#939—32no—
383#939—32no—
384#939—32no—
385#939—32no—
386#939—31no—
387#939C2×D312yescomplemented
388#939C2×D312yescomplemented
389#939C2×D312yescomplemented
390#939C2×D312yescomplemented
391#938—31no—
392#938—31no—
393#938—31no—
394#938—31no—
395#938—32no—
396#938—32no—
397#938—32no—
398#938—32no—
399#938—32no—
400#938—31no—
401#938—32no—
402#938—32no—
403#938—32no—
404#938—32no—
405#938—31no—
406#938—61no—
407#938—62no—
408#938—61no—
409#938C2×D311yescharacteristic, complemented
410#938C2×D311yescharacteristic, complemented
411#937—32no—
412#937—32no—
413#937—32no—
414#937—32no—
415#937—32no—
416#937—32no—
417#937—32no—
418#937—32no—
419#937—32no—
420#937—31no—
421#937—62no—
422#937—62no—
423#937C2×D312yescomplemented
424#937C2×D312yescomplemented
425#936—32no—
426#936C2×D311yescharacteristic, complemented
427D4×Dic3—32no—
428D4×Dic3C2×D312yescomplemented
429#930—32no—
430#930—32no—
431#930—31no—
432C4×#67—32no—
433C4×#67—32no—
434C4×#67—31no—
435C4×#67—31no—
436C2×C4⋊Dic3—31no—
437#924—31no—
438#924—32no—
439#924—32no—
440#897—31no—
441#897—31no—
442#897—32no—
443#897—31no—
444#896—31no—
445#895—31no—
446#895—31no—
447#895—31no—
448#895—32no—
449#894—32no—
450#894—31no—
451#893—32no—
452#893—31no—
453#892—32no—
454D3×C4⋊C4—31no—
455D3×C4⋊C4—32no—
456D3×C4⋊C4—32no—
457#886—31no—
458#886—31no—
459#885—32no—
460#885—32no—
461#884—32no—
462#884—32no—
463#884—32no—
464#884—32no—
465#884—32no—
466#884—32no—
467#884—32no—
468#884—32no—
469#884—31no—
470#883—32no—
471#883—32no—
472#883—31no—
473#883—32no—
474#882—32no—
475#882—32no—
476#882—32no—
477#882—31no—
478#882—31no—
479#882—31no—
480#67⋊C4—32no—
481#67⋊C4—32no—
482#67⋊C4—32no—
483#67⋊C4—32no—
484D3×C22⋊C4—32no—
485D3×C22⋊C4—32no—
486D3×C22⋊C4—32no—
487D3×C22⋊C4—32no—
488D3×C22⋊C4—32no—
489#878—32no—
490#878—32no—
491#878—32no—
492#878—31no—
493#875—32no—
494#875C2×D311yescharacteristic, complemented
495C4×D12—31no—
496C4×D12—31no—
497C4×D12—31no—
498C4×D12—31no—
499C4×D12—31no—
500C4×D12—31no—
501C4×D12—32no—
502C4×D12—32no—
503C4×D12—31no—
504C4×D12—61no—
505C4×D12—61no—
506C4×D12C2×D311yescharacteristic, complemented
507#872—32no—
508#872C2×D311yescharacteristic, complemented
509C4×Dic6—31no—
510C4×Dic6C2×D311yescharacteristic, complemented
511C23×C32C2412yes—
512C23×C32C2412yes—
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⋊D3C2411yescharacteristic
522C22×C3×D3—24no—
523C22×C3×D3—42no—
524C22×C3×D3—42no—
525C22×C3×D3C2411yescharacteristic
526C22×C3×D3C2412yes—
527C22×C3×D3C2411yescharacteristic
528C22×C3×D3C2411yescharacteristic
529C2×D32—22no—
530C2×D32—22no—
531C2×D32—24no—
532C2×D32—41no—
533C2×D32—42no—
534C2×D32—42no—
535C32×D4—22no—
536C32×D4—22no—
537C32×D4—42no—
538C32×D4—42no—
539C2×C32×C4C2411yescharacteristic
540C2×C32×C4C2411yescharacteristic
541C2×C32×C4C2411yescharacteristic
542#638—24no—
543#638—24no—
544#638—24no—
545#638—42no—
546C2×C3⋊Dic3C2412yes—
547C2×C3⋊Dic3C2411yescharacteristic
548C2×C3⋊Dic3C2411yescharacteristic
549C4⋊(C3⋊D3)—22no—
550C4⋊(C3⋊D3)C2×D414yescomplemented
551C4×C3⋊D3—22no—
552C4×C3⋊D3—22no—
553C4×C3⋊D3—42no—
554C3×#67—24no—
555C3×#67—24no—
556C3×#67—24no—
557C3×#67—24no—
558C3×#67—42no—
559C3×#67—42no—
560C3×#67—42no—
561C3×#67—42no—
562C2×C3×Dic3—24no—
563C2×C3×Dic3—24no—
564C2×C3×Dic3—24no—
565C2×C3×Dic3C2411yescharacteristic
566C2×C3×Dic3C2411yescharacteristic
567C2×C3×Dic3C2412yes—
568C2×C3×Dic3C2411yescharacteristic
569C2×C3×Dic3C2412yes—
570C2×C3×Dic3C2411yescharacteristic
571C2×C3×Dic3C2412yes—
572C2×C3×Dic3C2411yescharacteristic
573C3×D12—22no—
574C3×D12—41no—
575C3×C4×D3—22no—
576C3×C4×D3—22no—
577C3×C4×D3C2×D414yescomplemented
578C3×Dic6—22no—
579C3×Dic6C2×D414yescomplemented
580#627—24no—
581#627—22no—
582#626—24no—
583#626—24no—
584#626—24no—
585#626—22no—
586#626—22no—
587#626—24no—
588#626—22no—
589#626—41no—
590#626C2×D418yescomplemented
591#625—22no—
592#625—42no—
593#624—24no—
594#624—24no—
595#624—22no—
596#624—42no—
597#624C2×D418yescomplemented
598D3×Dic3—22no—
599D3×Dic3—24no—
600D3×Dic3—22no—
601D3×Dic3—42no—
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—31no—
605#550—91no—
606#548—91no—
607#548—91no—
608#546—92no—
609#546—91no—
610#546—92no—
611#546—91no—
612D42—92no—
613D42—92no—
614D42—91no—
615D42—91no—
616#537—92no—
617#537—91no—
618#535—31no—
619#535—92no—
620#525—91no—
621#525—92no—
622C2×#121—92no—
623C2×#121—91no—
624#520—91no—
625C24×C3—32no—
626C23×D3—32no—
627C23×D3—32no—
628C23×D3—32no—
629C23×D3—32no—
630C23×D3—31no—
631C23×D3—31no—
632C23×D3—32no—
633C23×D3—32no—
634C23×D3—62no—
635C23×D3—62no—
636C23×D3C22×D312yes—
637C3×#41—64no—
638C3×#41—64no—
639C3×#41—64no—
640C2×C3×Q8—31no—
641C2×C3×Q8—31no—
642C2×C3×D4—21no—
643C2×C3×D4—21no—
644C2×C3×D4—22no—
645C2×C3×D4—22no—
646C2×C3×D4—32no—
647C2×C3×D4—32no—
648C2×C3×D4—32no—
649C2×C3×D4—32no—
650C2×C3×D4—32no—
651C2×C3×D4—32no—
652C2×C3×D4—32no—
653C2×C3×D4—32no—
654C2×C3×D4—31no—
655C2×C3×D4—31no—
656C2×C3×D4—64no—
657C2×C3×D4C22×D311yescharacteristic
658C2×C3×D4C22×D311yescharacteristic
659C2×C3×D4C22×D311yescharacteristic
660C2×C3×D4C22×D311yescharacteristic
661C2×C3×D4C22×D312yes—
662C2×C3×D4C22×D312yes—
663C2×C3×D4C22×D312yes—
664C2×C3×D4C22×D312yes—
665C22×C3×C4—31no—
666C22×C3×C4—32no—
667C22×C3×C4—32no—
668C22×C3×C4—32no—
669C22×C3×C4—31no—
670C22×C3×C4—31no—
671C2×#67—32no—
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—32no—
675C2×#67—32no—
676C2×#67—32no—
677C2×#67—31no—
678C2×#67—31no—
679C2×#67—32no—
680C2×#67—32no—
681C2×#67—32no—
682C2×#67—32no—
683C2×#67—32no—
684C2×#67—32no—
685C2×#67—31no—
686C2×#67—32no—
687C2×#67—32no—
688C2×#67—31no—
689C2×#67—32no—
690C2×#67—31no—
691C2×#67—31no—
692C2×#67—62no—
693C2×#67—62no—
694C2×#67—62no—
695C2×#67—62no—
696C2×#67—68no—
697C2×#67—68no—
698C2×#67—124no—
699C2×#67C22×D312yes—
700C2×#67C22×D312yes—
701C2×#67C22×D312yes—
702C2×#67C22×D312yes—
703C2×#67C22×D312yes—
704C2×#67C22×D312yes—
705C2×#67C22×D312yes—
706C2×#67C22×D312yes—
707C22×Dic3—32no—
708C22×Dic3—31no—
709C22×Dic3—31no—
710C22×Dic3—32no—
711C22×Dic3C22×D312yes—
712C22×Dic3C22×D312yes—
713C22×Dic3C22×D312yes—
714#239—38no—
715#239—64no—
716#239—64no—
717D3×Q8—64no—
718D3×Q8—64no—
719#237—24no—
720#237—24no—
721#237—24no—
722#237—68no—
723#237—68no—
724#237—68no—
725#237—64no—
726D3×D4—24no—
727D3×D4—64no—
728D3×D4—68no—
729D3×D4—68no—
730D3×D4—68no—
731D3×D4—64no—
732D3×D4—64no—
733D3×D4—64no—
734D3×D4—64no—
735D3×D4—68no—
736D3×D4—68no—
737D3×D4—124no—
738D3×D4—124no—
739D3×D4—124no—
740D3×D4—124no—
741D3×D4—124no—
742D3×D4—124no—
743D3×D4—124no—
744D3×D4—128no—
745#235—38no—
746#235—64no—
747#235—64no—
748#235—68no—
749#235—68no—
750#235—68no—
751#235—64no—
752C2×D12—32no—
753C2×D12—31no—
754C2×D12—31no—
755C2×D12—31no—
756C2×D12—32no—
757C2×D12—32no—
758C2×D12—32no—
759C2×D12—32no—
760C2×D12—31no—
761C2×D12—31no—
762C2×D12—31no—
763C2×D12—31no—
764C2×D12—31no—
765C2×D12—61no—
766C2×D12—61no—
767C2×D12—64no—
768C2×D12—68no—
769C2×D12C22×D311yescharacteristic
770C2×D12C22×D311yescharacteristic
771C2×C4×D3—32no—
772C2×C4×D3—32no—
773C2×C4×D3—32no—
774C2×C4×D3—31no—
775C2×C4×D3—31no—
776C2×C4×D3—31no—
777C2×C4×D3—31no—
778C2×C4×D3—31no—
779C2×C4×D3—31no—
780C2×C4×D3—32no—
781C2×C4×D3—32no—
782C2×C4×D3—32no—
783C2×C4×D3—32no—
784C2×C4×D3—31no—
785C2×C4×D3—31no—
786C2×C4×D3—32no—
787C2×C4×D3—32no—
788C2×C4×D3—32no—
789C2×C4×D3—32no—
790C2×C4×D3—32no—
791C2×C4×D3—61no—
792C2×C4×D3—61no—
793C2×C4×D3—62no—
794C2×C4×D3—64no—
795C2×C4×D3—68no—
796C2×C4×D3—68no—
797C2×C4×D3—64no—
798C2×C4×D3C22×D311yescharacteristic
799C2×C4×D3C22×D311yescharacteristic
800C2×C4×D3C22×D311yescharacteristic
801C2×Dic6—32no—
802C2×Dic6—31no—
803C2×Dic6—32no—
804C2×Dic6—31no—
805C2×Dic6C22×D311yescharacteristic
806C2×Dic6C22×D311yescharacteristic
807C3×C4⋊C4—31no—
808C3×C4⋊C4—32no—
809C3×C4⋊C4—31no—
810C3×C4⋊C4—31no—
811C3×C4⋊C4—31no—
812C3×C22⋊C4—32no—
813C3×C22⋊C4—32no—
814C3×C22⋊C4—32no—
815C3×C22⋊C4—32no—
816C3×C22⋊C4—32no—
817C3×C22⋊C4—31no—
818C3×C22⋊C4—31no—
819C3×C22⋊C4—31no—
820C3×C22⋊C4—31no—
821C3×C22⋊C4—32no—
822C3×C42—21no—
823C3×C42—31no—
824C3×C42—32no—
825C3×C42C22×D311yescharacteristic
826C3×C42C22×D311yescharacteristic
827#217—32no—
828#217—32no—
829#217—32no—
830#217—32no—
831#217—32no—
832#217—31no—
833#217—32no—
834#217—32no—
835#217—31no—
836#217—62no—
837#217—62no—
838#217C22×D312yes—
839#217C22×D312yes—
840#217C22×D312yes—
841#217C22×D312yes—
842(C2×D3)⋊C4—31no—
843(C2×D3)⋊C4—31no—
844(C2×D3)⋊C4—32no—
845(C2×D3)⋊C4—32no—
846(C2×D3)⋊C4—32no—
847(C2×D3)⋊C4—32no—
848(C2×D3)⋊C4—31no—
849(C2×D3)⋊C4—31no—
850(C2×D3)⋊C4—31no—
851(C2×D3)⋊C4—32no—
852(C2×D3)⋊C4—31no—
853(C2×D3)⋊C4—32no—
854(C2×D3)⋊C4—31no—
855(C2×D3)⋊C4—31no—
856(C2×D3)⋊C4—32no—
857(C2×D3)⋊C4—32no—
858(C2×D3)⋊C4—31no—
859(C2×D3)⋊C4—32no—
860(C2×D3)⋊C4—31no—
861(C2×D3)⋊C4—62no—
862(C2×D3)⋊C4—61no—
863(C2×D3)⋊C4—61no—
864(C2×D3)⋊C4C22×D311yescharacteristic
865(C2×D3)⋊C4C22×D311yescharacteristic
866(C2×D3)⋊C4C22×D312yes—
867(C2×D3)⋊C4C22×D311yescharacteristic
868(C2×D3)⋊C4C22×D311yescharacteristic
869(C2×D3)⋊C4C22×D312yes—
870C4⋊Dic3—31no—
871C4⋊Dic3—31no—
872C4⋊Dic3—31no—
873C4⋊Dic3—31no—
874C4⋊Dic3—31no—
875C4⋊Dic3—32no—
876C4⋊Dic3—31no—
877C4⋊Dic3—32no—
878C4⋊Dic3—32no—
879C4⋊Dic3—61no—
880C4⋊Dic3—61no—
881C4⋊Dic3C22×D311yescharacteristic
882C4⋊Dic3C22×D311yescharacteristic
883Dic3⋊C4—32no—
884Dic3⋊C4—32no—
885Dic3⋊C4—32no—
886Dic3⋊C4—32no—
887Dic3⋊C4—31no—
888Dic3⋊C4—32no—
889Dic3⋊C4—31no—
890Dic3⋊C4C22×D312yes—
891Dic3⋊C4C22×D311yescharacteristic
892Dic3⋊C4C22×D311yescharacteristic
893C4×Dic3—32no—
894C4×Dic3—32no—
895C4×Dic3C22×D312yes—
896C4×Dic3C22×D311yescharacteristic
897C22×C32—22no—
898C22×C32—22no—
899C22×C32—22no—
900C22×C32—22no—
901C22×C32—22no—
902C22×C32—22no—
903C22×C32C2511yescharacteristic
904C2×C3⋊D3—21no—
905C2×C3⋊D3—21no—
906C2×C3⋊D3—22no—
907C2×C3⋊D3—21no—
908C2×C3⋊D3—22no—
909C2×C3⋊D3—21no—
910C2×C3⋊D3—21no—
911C2×C3⋊D3—48no—
912C2×C3⋊D3—84no—
913C2×C3⋊D3C22×D414yes—
914C2×C3⋊D3H(5,𝔽2)12yescomplemented
915C2×C3×D3—21no—
916C2×C3×D3—21no—
917C2×C3×D3—21no—
918C2×C3×D3—22no—
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—84no—
927C2×C3×D3C22×D412yes—
928D32—44no—
929D32—84no—
930C32×C4—21no—
931C32×C4—21no—
932C32×C4C22×D412yes—
933C3⋊Dic3—21no—
934C3⋊Dic3—21no—
935C3⋊Dic3—22no—
936C3×Dic3—21no—
937C3×Dic3—22no—
938C3×Dic3—21no—
939C3×Dic3—22no—
940C3×Dic3—21no—
941C3×Dic3—21no—
942C3×Dic3C22×D412yes—
943C3×Dic3C22×D414yes—
944H(5,𝔽2)—188no—
945C2×#41—31no—
946C2×#41—31no—
947C2×#41—31no—
948C2×#41—91no—
949C2×#41—92no—
950C2×#41—92no—
951C2×#41—92no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41—91no—
955C2×#41—188no—
956C22×Q8—91no—
957C22×D4—31no—
958C22×D4—91no—
959C22×D4—92no—
960C22×D4—92no—
961C22×D4—92no—
962C22×D4—92no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—91no—
966C22×D4—91no—
967C22×D4—92no—
968C23×C4—91no—
969C23×C4—92no—
970#127—31no—
971#127—32no—
972#127—92no—
973#127D3211yescharacteristic, complemented
974#124—31no—
975#124—31no—
976#124—92no—
977#124—92no—
978#123—92no—
979#123—91no—
980#123—92no—
981#123—91no—
982C22⋊Q8—91no—
983C22⋊Q8—92no—
984C22⋊Q8—92no—
985C22⋊Q8—92no—
986C22⋊Q8—91no—
987C22⋊Q8—91no—
988C22⋊Q8—91no—
989#121—32no—
990#121—31no—
991#121—32no—
992#121—32no—
993#121—31no—
994#121—32no—
995#121—92no—
996#121—91no—
997#121—92no—
998#121—92no—
999#121—92no—
1000#121—92no—
1001#121—92no—
1002#121—92no—
1003#121—91no—
1004#121—91no—
1005#121—92no—
1006#121—91no—
1007#121—92no—
1008#121—92no—
1009#121—92no—
1010#121—92no—
1011#121—91no—
1012#121—92no—
1013#121—91no—
1014#120—32no—
1015#120—32no—
1016#120—91no—
1017#120—92no—
1018#120—91no—
1019#120—92no—
1020#120—92no—
1021#120—92no—
1022#120—92no—
1023#120—92no—
1024C4×Q8—31no—
1025C4×Q8—91no—
1026C4×D4—32no—
1027C4×D4—31no—
1028C4×D4—92no—
1029C4×D4—92no—
1030C4×D4—91no—
1031C4×D4—91no—
1032C4×D4—91no—
1033C4×D4—92no—
1034C4×D4—92no—
1035C4×D4—92no—
1036C4×D4—91no—
1037C4×D4—91no—
1038#117—31no—
1039#117—92no—
1040C2×C4⋊C4—92no—
1041C2×C4⋊C4—91no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C2×C22⋊C4—92no—
1045C23×C3—22no—
1046C23×C3—22no—
1047C23×C3—31no—
1048C23×C3—31no—
1049C23×C3—32no—
1050C23×C3—31no—
1051C23×C3—64no—
1052C23×C3—122no—
1053C23×C3—122no—
1054C23×C3C23×D312yes—
1055C23×C3C23×D312yes—
1056C23×C3C23×D312yes—
1057C23×C3C23×D312yes—
1058C22×D3—24no—
1059C22×D3—32no—
1060C22×D3—31no—
1061C22×D3—32no—
1062C22×D3—31no—
1063C22×D3—31no—
1064C22×D3—31no—
1065C22×D3—42no—
1066C22×D3—42no—
1067C22×D3—62no—
1068C22×D3—61no—
1069C22×D3—61no—
1070C22×D3—62no—
1071C22×D3—62no—
1072C22×D3—64no—
1073C22×D3—64no—
1074C22×D3—62no—
1075C22×D3—64no—
1076C22×D3—64no—
1077C22×D3—64no—
1078C22×D3—64no—
1079C22×D3—64no—
1080C22×D3—64no—
1081C22×D3—62no—
1082C22×D3—124no—
1083C22×D3—124no—
1084C22×D3—124no—
1085C22×D3—121no—
1086C22×D3—121no—
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×D311yescharacteristic
1101C22×D3C23×D312yes—
1102C22×D3C23×D311yescharacteristic
1103C22×D3C23×D311yescharacteristic
1104C3×Q8—34no—
1105C3×Q8—62no—
1106C3×D4—22no—
1107C3×D4—22no—
1108C3×D4—22no—
1109C3×D4—22no—
1110C3×D4—42no—
1111C3×D4—42no—
1112C3×D4—42no—
1113C3×D4—42no—
1114C3×D4—42no—
1115C3×D4—42no—
1116C3×D4—44no—
1117C3×D4—64no—
1118C3×D4—64no—
1119C3×D4—64no—
1120C3×D4—64no—
1121C3×D4—62no—
1122C3×D4—82no—
1123C3×D4—121no—
1124C3×D4—122no—
1125C3×D4—122no—
1126C3×D4—122no—
1127C3×D4—122no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—32no—
1132C2×C3×C4—31no—
1133C2×C3×C4—34no—
1134C2×C3×C4—31no—
1135C2×C3×C4—31no—
1136C2×C3×C4—31no—
1137C2×C3×C4—32no—
1138C2×C3×C4—32no—
1139C2×C3×C4—31no—
1140C2×C3×C4—64no—
1141C2×C3×C4—64no—
1142C2×C3×C4—64no—
1143C2×C3×C4—62no—
1144C2×C3×C4—62no—
1145C2×C3×C4C23×D311yescharacteristic
1146C2×C3×C4C23×D311yescharacteristic
1147C2×C3×C4C23×D311yescharacteristic
1148C2×C3×C4C23×D311yescharacteristic
1149C2×C3×C4C23×D311yescharacteristic
1150C2×C3×C4C23×D311yescharacteristic
1151#67—24no—
1152#67—24no—
1153#67—24no—
1154#67—24no—
1155#67—38no—
1156#67—42no—
1157#67—42no—
1158#67—42no—
1159#67—42no—
1160#67—64no—
1161#67—64no—
1162#67—62no—
1163#67—64no—
1164#67—62no—
1165#67—62no—
1166#67—64no—
1167#67—64no—
1168#67—64no—
1169#67—64no—
1170#67—64no—
1171#67—64no—
1172#67—62no—
1173#67—62no—
1174#67—64no—
1175#67—124no—
1176#67—124no—
1177#67—124no—
1178#67—121no—
1179#67—122no—
1180#67—122no—
1181#67—122no—
1182#67—122no—
1183#67—124no—
1184C2×Dic3—24no—
1185C2×Dic3—24no—
1186C2×Dic3—24no—
1187C2×Dic3—32no—
1188C2×Dic3—32no—
1189C2×Dic3—31no—
1190C2×Dic3—31no—
1191C2×Dic3—31no—
1192C2×Dic3—31no—
1193C2×Dic3—62no—
1194C2×Dic3—61no—
1195C2×Dic3—61no—
1196C2×Dic3—62no—
1197C2×Dic3—62no—
1198C2×Dic3—64no—
1199C2×Dic3—122no—
1200C2×Dic3C23×D311yescharacteristic
1201C2×Dic3C23×D311yescharacteristic
1202C2×Dic3C23×D312yes—
1203C2×Dic3C23×D311yescharacteristic
1204C2×Dic3C23×D312yes—
1205C2×Dic3C23×D311yescharacteristic
1206C2×Dic3C23×D312yes—
1207C2×Dic3C23×D311yescharacteristic
1208D12—22no—
1209D12—38no—
1210D12—34no—
1211D12—34no—
1212D12—41no—
1213D12—64no—
1214D12—62no—
1215D12—62no—
1216D12—64no—
1217D12—64no—
1218D12—62no—
1219D12—64no—
1220D12—64no—
1221D12—62no—
1222D12—64no—
1223D12—62no—
1224D12—121no—
1225C4×D3—22no—
1226C4×D3—22no—
1227C4×D3—38no—
1228C4×D3—38no—
1229C4×D3—62no—
1230C4×D3—64no—
1231C4×D3—64no—
1232C4×D3—64no—
1233C4×D3—62no—
1234C4×D3—64no—
1235C4×D3—62no—
1236C4×D3—62no—
1237C4×D3—62no—
1238C4×D3—62no—
1239C4×D3—62no—
1240C4×D3—62no—
1241C4×D3—64no—
1242C4×D3—122no—
1243C4×D3—122no—
1244C4×D3—122no—
1245C4×D3—122no—
1246C4×D3—122no—
1247C4×D3—122no—
1248C4×D3—122no—
1249C4×D3—124no—
1250C4×D3D3×D414yescomplemented
1251Dic6—22no—
1252Dic6—62no—
1253Dic6—64no—
1254Dic6—62no—
1255Dic6—64no—
1256Dic6D3×D414yescomplemented
1257C2×C32—42no—
1258C2×C32—42no—
1259C2×C32C23×D411yescharacteristic
1260C2×C32C2×H(5,𝔽2)11yescharacteristic
1261C2×C32#58511yescharacteristic
1262C3⋊D3—22no—
1263C3⋊D3—24no—
1264C3⋊D3—41no—
1265C3×D3—22no—
1266C3×D3—41no—
1267C3×D3—41no—
1268C3×D3—42no—
1269C24—32no—
1270C24—91no—
1271C24—92no—
1272C24—92no—
1273C24—92no—
1274#41—64no—
1275#41—64no—
1276#41—64no—
1277#41—98no—
1278#41—184no—
1279#41—188no—
1280#41—188no—
1281#41—188no—
1282#41—184no—
1283#41—184no—
1284C2×Q8—31no—
1285C2×Q8—31no—
1286C2×Q8—91no—
1287C2×Q8—92no—
1288C2×Q8—184no—
1289C2×D4—32no—
1290C2×D4—32no—
1291C2×D4—32no—
1292C2×D4—32no—
1293C2×D4—32no—
1294C2×D4—32no—
1295C2×D4—32no—
1296C2×D4—32no—
1297C2×D4—31no—
1298C2×D4—31no—
1299C2×D4—64no—
1300C2×D4—92no—
1301C2×D4—91no—
1302C2×D4—92no—
1303C2×D4—92no—
1304C2×D4—91no—
1305C2×D4—92no—
1306C2×D4—91no—
1307C2×D4—92no—
1308C2×D4—91no—
1309C2×D4—91no—
1310C2×D4—92no—
1311C2×D4—92no—
1312C2×D4—92no—
1313C2×D4—92no—
1314C2×D4—92no—
1315C2×D4—91no—
1316C2×D4—91no—
1317C2×D4—184no—
1318C2×D4—188no—
1319C2×D4—188no—
1320C2×D4—184no—
1321C2×D4—184no—
1322C2×D4—188no—
1323C2×D4—188no—
1324C2×D4—364no—
1325C2×D4—364no—
1326C2×D4—364no—
1327C2×D4C2×D3211yescharacteristic
1328C2×D4C2×D3211yescharacteristic
1329C2×D4C2×D3212yes—
1330C2×D4C2×D3212yes—
1331C22×C4—31no—
1332C22×C4—32no—
1333C22×C4—32no—
1334C22×C4—32no—
1335C22×C4—31no—
1336C22×C4—31no—
1337C22×C4—92no—
1338C22×C4—92no—
1339C22×C4—92no—
1340C22×C4—91no—
1341C22×C4—92no—
1342C22×C4—91no—
1343C22×C4—92no—
1344C22×C4—91no—
1345C22×C4—92no—
1346C22×C4—91no—
1347C22×C4—91no—
1348C22×C4—92no—
1349C22×C4—184no—
1350C22×C4—188no—
1351C4⋊C4—31no—
1352C4⋊C4—32no—
1353C4⋊C4—31no—
1354C4⋊C4—31no—
1355C4⋊C4—31no—
1356C4⋊C4—92no—
1357C4⋊C4—92no—
1358C4⋊C4—91no—
1359C4⋊C4—92no—
1360C4⋊C4—91no—
1361C4⋊C4—92no—
1362C4⋊C4—91no—
1363C4⋊C4—91no—
1364C22⋊C4—32no—
1365C22⋊C4—32no—
1366C22⋊C4—32no—
1367C22⋊C4—32no—
1368C22⋊C4—31no—
1369C22⋊C4—32no—
1370C22⋊C4—31no—
1371C22⋊C4—31no—
1372C22⋊C4—31no—
1373C22⋊C4—32no—
1374C22⋊C4—91no—
1375C22⋊C4—92no—
1376C22⋊C4—92no—
1377C22⋊C4—91no—
1378C22⋊C4—92no—
1379C22⋊C4—92no—
1380C22⋊C4—92no—
1381C22⋊C4—91no—
1382C22⋊C4—91no—
1383C22⋊C4—92no—
1384C22⋊C4—92no—
1385C22⋊C4—92no—
1386C22⋊C4—91no—
1387C22⋊C4—91no—
1388C42—31no—
1389C42—32no—
1390C42—92no—
1391C42C2×D3211yescharacteristic
1392C22×C3—22no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—22no—
1396C22×C3—22no—
1397C22×C3—22no—
1398C22×C3—22no—
1399C22×C3—22no—
1400C22×C3—22no—
1401C22×C3—22no—
1402C22×C3—22no—
1403C22×C3—22no—
1404C22×C3—21no—
1405C22×C3—32no—
1406C22×C3—42no—
1407C22×C3—42no—
1408C22×C3—42no—
1409C22×C3—42no—
1410C22×C3—42no—
1411C22×C3—42no—
1412C22×C3—61no—
1413C22×C3—61no—
1414C22×C3—61no—
1415C22×C3—62no—
1416C22×C3—61no—
1417C22×C3—62no—
1418C22×C3—62no—
1419C22×C3—61no—
1420C22×C3—61no—
1421C22×C3—61no—
1422C22×C3—61no—
1423C22×C3—244no—
1424C22×C3C24×D311yescharacteristic
1425C22×C3C24×D311yescharacteristic
1426C2×D3—21no—
1427C2×D3—21no—
1428C2×D3—21no—
1429C2×D3—21no—
1430C2×D3—22no—
1431C2×D3—21no—
1432C2×D3—21no—
1433C2×D3—21no—
1434C2×D3—22no—
1435C2×D3—21no—
1436C2×D3—22no—
1437C2×D3—34no—
1438C2×D3—34no—
1439C2×D3—32no—
1440C2×D3—32no—
1441C2×D3—64no—
1442C2×D3—62no—
1443C2×D3—61no—
1444C2×D3—61no—
1445C2×D3—61no—
1446C2×D3—62no—
1447C2×D3—62no—
1448C2×D3—62no—
1449C2×D3—61no—
1450C2×D3—62no—
1451C2×D3—62no—
1452C2×D3—61no—
1453C2×D3—61no—
1454C2×D3—61no—
1455C2×D3—61no—
1456C2×D3—61no—
1457C2×D3—61no—
1458C2×D3—84no—
1459C2×D3—121no—
1460C2×D3—122no—
1461C2×D3—121no—
1462C2×D3—121no—
1463C2×D3—122no—
1464C2×D3—121no—
1465C2×D3—124no—
1466C2×D3—124no—
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—22no—
1477C3×C4—21no—
1478C3×C4—21no—
1479C3×C4—21no—
1480C3×C4—21no—
1481C3×C4—22no—
1482C3×C4—32no—
1483C3×C4—34no—
1484C3×C4—41no—
1485C3×C4—62no—
1486C3×C4—61no—
1487C3×C4—61no—
1488C3×C4—61no—
1489C3×C4—62no—
1490C3×C4—61no—
1491C3×C4C2×D3×D412yes—
1492C3×C4C2×D3×D412yes—
1493Dic3—22no—
1494Dic3—21no—
1495Dic3—21no—
1496Dic3—21no—
1497Dic3—22no—
1498Dic3—21no—
1499Dic3—61no—
1500Dic3—61no—
1501Dic3—61no—
1502Dic3—61no—
1503Dic3—62no—
1504Dic3—62no—
1505Dic3—121no—
1506Dic3—121no—
1507Dic3—122no—
1508Dic3C2×D3×D414yes—
1509Dic3C2×D3×D412yes—
1510C32#348811yescharacteristic, complemented, Sylow
1511C23—31no—
1512C23—32no—
1513C23—31no—
1514C23—31no—
1515C23—64no—
1516C23—92no—
1517C23—91no—
1518C23—91no—
1519C23—122no—
1520C23—122no—
1521C23—184no—
1522C23—184no—
1523C23—184no—
1524C23—182no—
1525C23—182no—
1526C23—184no—
1527C23—362no—
1528C23—362no—
1529C23—362no—
1530C23—361no—
1531C23—362no—
1532C23—362no—
1533C23C22×D3212yes—
1534C23C22×D3212yes—
1535Q8—34no—
1536Q8—62no—
1537Q8—184no—
1538Q8—182no—
1539D4—22no—
1540D4—22no—
1541D4—42no—
1542D4—42no—
1543D4—64no—
1544D4—64no—
1545D4—64no—
1546D4—64no—
1547D4—62no—
1548D4—98no—
1549D4—94no—
1550D4—121no—
1551D4—122no—
1552D4—122no—
1553D4—122no—
1554D4—122no—
1555D4—182no—
1556D4—182no—
1557D4—184no—
1558D4—182no—
1559D4—184no—
1560D4—184no—
1561D4—182no—
1562D4—184no—
1563D4—184no—
1564D4—184no—
1565D4—184no—
1566D4—182no—
1567D4—361no—
1568D4—362no—
1569D4—362no—
1570C2×C4—32no—
1571C2×C4—31no—
1572C2×C4—34no—
1573C2×C4—31no—
1574C2×C4—31no—
1575C2×C4—32no—
1576C2×C4—32no—
1577C2×C4—31no—
1578C2×C4—31no—
1579C2×C4—64no—
1580C2×C4—64no—
1581C2×C4—64no—
1582C2×C4—62no—
1583C2×C4—62no—
1584C2×C4—98no—
1585C2×C4—92no—
1586C2×C4—91no—
1587C2×C4—91no—
1588C2×C4—182no—
1589C2×C4—184no—
1590C2×C4—182no—
1591C2×C4—184no—
1592C2×C4—184no—
1593C2×C4—182no—
1594C2×C4—182no—
1595C2×C4—182no—
1596C2×C4—362no—
1597C2×C4—362no—
1598C2×C4—362no—
1599C2×C4C22×D3211yescharacteristic
1600C2×C4C22×D3211yescharacteristic
1601C2×C4C22×D3211yescharacteristic
1602C2×C3—21no—
1603C2×C3—21no—
1604C2×C3—21no—
1605C2×C3—42no—
1606C2×C3—42no—
1607C2×C3—42no—
1608C2×C3—42no—
1609C2×C3—62no—
1610C2×C3—82no—
1611C2×C3—82no—
1612C2×C3—121no—
1613C2×C3—121no—
1614C2×C3—122no—
1615C2×C3C22×D3×D411yescharacteristic
1616C2×C3C22×D3×D411yescharacteristic
1617C2×C3#596411yescharacteristic
1618C2×C3D3×H(5,𝔽2)11yescharacteristic
1619C2×C3D3×H(5,𝔽2)11yescharacteristic
1620C2×C3#596611yescharacteristic
1621D3—22no—
1622D3—42no—
1623D3—41no—
1624D3—41no—
1625D3—62no—
1626D3—64no—
1627D3—62no—
1628D3—64no—
1629D3—122no—
1630D3—124no—
1631D3—122no—
1632D3—121no—
1633D3—121no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—32no—
1641C22—61no—
1642C22—61no—
1643C22—61no—
1644C22—61no—
1645C22—62no—
1646C22—61no—
1647C22—61no—
1648C22—62no—
1649C22—61no—
1650C22—62no—
1651C22—61no—
1652C22—94no—
1653C22—92no—
1654C22—181no—
1655C22—182no—
1656C22—181no—
1657C22—182no—
1658C22—181no—
1659C22—181no—
1660C22—181no—
1661C22—244no—
1662C22—368no—
1663C22—364no—
1664C22—724no—
1665C22—724no—
1666C22C23×D3211yescharacteristic
1667C4—21no—
1668C4—21no—
1669C4—32no—
1670C4—34no—
1671C4—61no—
1672C4—61no—
1673C4—62no—
1674C4—61no—
1675C4—62no—
1676C4—61no—
1677C4—181no—
1678C4—181no—
1679C4—182no—
1680C4D32×D412yes—
1681C3—21no—
1682C3#8633111yescharacteristic, complemented
1683C3#8676911yescharacteristic, complemented
1684C2—42no—
1685C2—42no—
1686C2—62no—
1687C2—122no—
1688C2—121no—
1689C2—121no—
1690C2—182no—
1691C2—184no—
1692C2—361no—
1693C2C2×D32×D411yescharacteristic
1694C2#1059667511yescharacteristic
1695C2#1059667811yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×#127C22
hypercenter#127D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #127

Complements

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

NH ≅ G/Ntype
1. C2×#64314C2semidirect
2. C2×#64312C2semidirect
3. #10596188C2semidirect
4. C3×#5718C2semidirect
5. C3×#5715C2semidirect
6. #10595299C2semidirect
7. #10595298C2semidirect
8. #10595297C2semidirect
9. #10595295C2semidirect
10. #10595294C2semidirect
11. #10595292C2semidirect
12. D3×#938C2semidirect
13. #10595243C2semidirect
14. #10595237C2semidirect
15. #10595232C2semidirect
16. #10595158C2semidirect
17. #10595140C2semidirect
18. #10595138C2semidirect
19. #10595135C2semidirect
20. #10594007C2semidirect
21. #10593997C2semidirect
22. #10593901C2semidirect
23. #10593890C2semidirect
26. C2×D4×C3⋊D3C22semidirect
27. C2×D4×C3⋊D3C22semidirect
28. C2×D4×C3⋊D3C22semidirect
29. C2×C3×#237C22semidirect
30. C2×C3×#237C22semidirect
31. C2×C3×#237C22semidirect
32. C2×C3×D3×D4C22semidirect
33. C2×#3811C22semidirect
34. C2×#3811C22semidirect
35. C2×#3811C22semidirect
36. C2×D3×#67C22semidirect
37. C2×D3×#67C22semidirect
38. C22×#626C22semidirect
39. C22×#624C22semidirect
40. C2×#3804C22semidirect
41. C2×#3804C22semidirect
42. C2×#3804C22semidirect
45. C2×D3×D12C22semidirect
46. C2×C4×D32C22semidirect
48. C2×#3799C22semidirect
49. C2×#3798C22semidirect
50. C2×#3797C22semidirect
51. C2×#3796C22semidirect
52. C32×#127C22semidirect
53. #64147C22semidirect
54. #64147C22semidirect
55. #64147C22semidirect
56. #64146C22semidirect
57. #64146C22semidirect
58. C4×C4⋊(C3⋊D3)C22semidirect
59. C4×C4⋊(C3⋊D3)C22semidirect
60. C3×#940C22semidirect
61. C3×#940C22semidirect
62. C3×#939C22semidirect
63. C3×#939C22semidirect
64. C3×#939C22semidirect
65. C3×#939C22semidirect
66. C3×#938C22semidirect
67. C3×#938C22semidirect
68. C3×#937C22semidirect
69. C3×#937C22semidirect
70. C3×#936C22semidirect
71. C3×D4×Dic3C22semidirect
72. C3×#875C22semidirect
73. C3×C4×D12C22semidirect
74. C3×#872C22semidirect
75. C3×C4×Dic6C22semidirect
76. #63983C22semidirect
77. #63981C22semidirect
78. #63981C22semidirect
79. #63979C22semidirect
80. #63978C22semidirect
81. #63978C22semidirect
82. #63975C22semidirect
83. #63974C22semidirect
84. Dic3×#67C22semidirect
85. #63971C22semidirect
86. #63970C22semidirect
87. #63970C22semidirect
88. #63970C22semidirect
89. D3×#217C22semidirect
90. #63964C22semidirect
91. #63964C22semidirect
92. #63959C22semidirect
93. #63958C22semidirect
94. #63958C22semidirect
95. #63958C22semidirect
96. #63958C22semidirect
97. #63952C22semidirect
98. #63923C22semidirect
99. #63922C22semidirect
100. #63922C22semidirect
101. #63921C22semidirect
102. #63916C22semidirect
103. #63912C22semidirect
104. #63910C22semidirect
105. #63910C22semidirect
106. #63908C22semidirect
107. C4×#626C22semidirect
108. C4×#626C22semidirect
109. #63895C22semidirect
110. #63894C22semidirect
111. #63893C22semidirect
112. #63893C22semidirect
113. #63891C22semidirect
114. #63890C22semidirect
115. D3×C4⋊Dic3C22semidirect
116. #63886C22semidirect
117. #63883C22semidirect
118. #63881C22semidirect
119. #63880C22semidirect
120. #63880C22semidirect
121. #63871C22semidirect
122. #63856C22semidirect
123. #63854C22semidirect
124. #63852C22semidirect
125. Dic3×Dic6C22semidirect
126. #63836C22semidirect
138. #5718D3semidirect
145. #5715D3semidirect
252. #3799D4semidirect
318. C2×#237C2×D3semidirect
319. C2×#237C2×D3semidirect
320. C2×#237C2×D3semidirect
339. C2×D3×D4C2×D3semidirect
356. C3×#127C2×D3semidirect
357. C3×#127C2×D3semidirect
378. #940C2×D3semidirect
379. #940C2×D3semidirect
387. #939C2×D3semidirect
388. #939C2×D3semidirect
389. #939C2×D3semidirect
390. #939C2×D3semidirect
409. #938C2×D3semidirect
410. #938C2×D3semidirect
423. #937C2×D3semidirect
424. #937C2×D3semidirect
426. #936C2×D3semidirect
428. D4×Dic3C2×D3semidirect
494. #875C2×D3semidirect
506. C4×D12C2×D3semidirect
508. #872C2×D3semidirect
510. C4×Dic6C2×D3semidirect
550. C4⋊(C3⋊D3)C2×D4semidirect
577. C3×C4×D3C2×D4semidirect
579. C3×Dic6C2×D4semidirect
590. #626C2×D4semidirect
597. #624C2×D4semidirect
914. C2×C3⋊D3H(5,𝔽2)semidirect
973. #127D32semidirect
1250. C4×D3D3×D4semidirect
1256. Dic6D3×D4semidirect
1510. C32#3488semidirect
1682. C3#86331semidirect
1683. C3#86769semidirect

Maximal subgroups

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

subgroupindex
C2×#643142
C2×#643122
#105961882
C3×#57182
C3×#57152
#105952992
#105952982
#105952972
#105952952
#105952942
#105952922
D3×#9382
#105952432
#105952372
#105952322
#105951582
#105951402
#105951382
#105951352
#105940072
#105939972
#105939012
#105938902
#867693
#863313