Finite Group Databasebeta

← #11904699

Subgroups — #11904699

Order 1152.

3461 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64319C211yesmaximal, characteristic, complemented
2C2×#64313C211yesmaximal, characteristic, complemented
3#10596148C211yesmaximal, characteristic, complemented
4C3×#5676C211yesmaximal, characteristic, complemented
5C3×#5674C211yesmaximal, characteristic, complemented
6#10595428C211yesmaximal, characteristic, complemented
7#10595398C211yesmaximal, characteristic, complemented
8#10595362C211yesmaximal, characteristic, complemented
9#10595293C211yesmaximal, characteristic, complemented
10D3×#938C211yesmaximal, characteristic, complemented
11#10595164C211yesmaximal, characteristic, complemented
12#10594275C212yesmaximal, complemented
13#10594274C212yesmaximal, complemented
14#10594271C212yesmaximal, complemented
15#10594269C212yesmaximal, complemented
16#10594267C212yesmaximal, complemented
17D3×#884C212yesmaximal, complemented
18#10594184C212yesmaximal, complemented
19#10594060C212yesmaximal, complemented
20#10594004C211yesmaximal, characteristic, complemented
21#10593997C211yesmaximal, characteristic, complemented
22#10593906C211yesmaximal, characteristic, complemented
23#10593887C211yesmaximal, characteristic, complemented
24#86629—31nomaximal
25#86331—31nomaximal
26C2×Q8×C3⋊D3C2211yescharacteristic, complemented
27C2×#3830C2211yescharacteristic, complemented
28C2×C3×#239C2211yescharacteristic, complemented
29C2×C3×#239C2211yescharacteristic, complemented
30C2×C3×D3×D4C2211yescharacteristic, complemented
31C2×C3×D3×D4C2211yescharacteristic, complemented
32C2×D3×#67C2212yescomplemented
33C2×D3×#67C2212yescomplemented
34C2×D3×#67C2212yescomplemented
35C2×D3×#67C2212yescomplemented
36C22×#625C2212yescomplemented
37C2×#3805C2212yescomplemented
38#64319—28no—
39#64313—28no—
40C2×#3802C2211yescharacteristic, complemented
41C2×#3802C2211yescharacteristic, complemented
42C2×#3802C2212yescomplemented
43C2×D3×D12C2212yescomplemented
44C2×C4×D32C2211yescharacteristic, complemented
45C2×C4×D32C2212yescomplemented
46C2×#3798C2211yescharacteristic, complemented
47C2×#3795C2211yescharacteristic
48C2×#3795C2212yescomplemented
49C2×#3795C2211yescharacteristic, complemented
50C2×#3795C2211yescharacteristic, complemented
51C2×#3795C2212yescomplemented
52C32×#124C2211yescharacteristic, complemented
53#64155C2211yescharacteristic, complemented
54#64147C2211yescharacteristic, complemented
55#64094C2212yescomplemented
56#64093C2212yescomplemented
57#64090C2212yescomplemented
58#64087C2212yescomplemented
59C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
60C4×#634C2211yescharacteristic, complemented
61C3×#947C2211yescharacteristic, complemented
62C3×#946C2211yescharacteristic, complemented
63C3×#940C2211yescharacteristic, complemented
64C3×#938C2211yescharacteristic, complemented
65C3×#884C2212yescomplemented
66C3×#884C2212yescomplemented
67C3×#884C2212yescomplemented
68C3×#883C2212yescomplemented
69C3×#882C2212yescomplemented
70C3×#882C2212yescomplemented
71C3×#882C2212yescomplemented
72C3×D3×C22⋊C4C2212yescomplemented
73C3×#874C2211yescharacteristic, complemented
74C3×C4×D12C2211yescharacteristic, complemented
75C3×C4×D12C2211yescharacteristic, complemented
76C3×#872C2211yescharacteristic, complemented
77#63983C2212yescomplemented
78#63980C2212yescomplemented
79#63979C2212yescomplemented
80#63976C2212yescomplemented
81#67⋊Dic3C2212yescomplemented
82#63971C2212yescomplemented
83#63970C2212yescomplemented
84#63970C2212yescomplemented
85D3×#217C2212yescomplemented
86#63958C2212yescomplemented
87#63923C2211yescharacteristic, complemented
88#63922C2212yescomplemented
89#63922C2211yescharacteristic, complemented
90#63922C2212yescomplemented
91#63922C2212yescomplemented
92D3×(C2×D3)⋊C4C2212yescomplemented
93#63916C2211yescharacteristic, complemented
94#63916C2211yescharacteristic, complemented
95#63914C2212yescomplemented
96#63913C2212yescomplemented
97#63912C2212yescomplemented
98#63910C2211yescharacteristic, complemented
99#63908C2212yescomplemented
100#63908C2211yescharacteristic, complemented
101#63908C2211yescharacteristic, complemented
102#63906C2212yescomplemented
103#63905C2212yescomplemented
104C4×#626C2211yescharacteristic, complemented
105C4×#626C2211yescharacteristic, complemented
106#63902C2212yescomplemented
107#63898C2212yescomplemented
108#63896C2212yescomplemented
109#63895C2211yescharacteristic, complemented
110#63893C2211yescharacteristic, complemented
111Dic3×D12C2211yescharacteristic, complemented
112#63891C2211yescharacteristic, complemented
113#63890C2211yescharacteristic, complemented
114D3×C4⋊Dic3C2211yescharacteristic, complemented
115#63886C2212yescomplemented
116#63886C2211yescharacteristic, complemented
117#63885C2212yescomplemented
118#63885C2212yescomplemented
119#63885C2212yescomplemented
120#63885C2212yescomplemented
121#63881C2212yescomplemented
122#63879C2212yescomplemented
123#63878C2212yescomplemented
124D3×Dic3⋊C4C2212yescomplemented
125#63851C2212yescomplemented
126#63844C2211yescharacteristic, complemented
127C2×D3×#41—31no—
128C2×D3×#41—31no—
129C2×#1004—31no—
130C2×#1004—31no—
131C3×#546—31no—
132C3×#535—31no—
133#5833—31no—
134#5829—31no—
135D4×#67—31no—
136C2×#938—31no—
137#5718—31no—
138#5718—31no—
139#5717—31no—
140#5717—31no—
141#5677—31no—
142#5677—31no—
143#5677—31no—
144#5677—61no—
145#5676—31no—
146#5676D311yescharacteristic, complemented
147#5674D311yescharacteristic, complemented
148#5656—32no—
149#5654—32no—
150#5633—31no—
151#5629—31no—
152#5609—32no—
153#5608—32no—
154#5607—32no—
155#5606—32no—
156D3×#121—31no—
157D3×#121—32no—
158#5599—31no—
159#5597—32no—
160#5592—32no—
161#5591—32no—
162#5591—32no—
163#5590—32no—
164#5590—32no—
165#5590—32no—
166#5553—31no—
167D4×D12—31no—
168#5547—31no—
169#5546—31no—
170#5524—31no—
171#5523—31no—
172#5490—32no—
173C2×#884—32no—
174C23×C3×D3C2312yes—
175C23×C3×D3C2312yes—
176C22×D32C2312yes—
177C22×D32C2311yescharacteristic
178C22×D32C2312yes—
179C2×C32×Q8C2311yescharacteristic
180C2×C32×D4C2311yescharacteristic
181C2×#638C2312yes—
182C2×#638C2312yes—
183C22×C3⋊Dic3C2312yes—
184Q8×C3⋊D3—24no—
185#3830—24no—
186C2×C4⋊(C3⋊D3)C2311yescharacteristic
187C2×C4×C3⋊D3C2311yescharacteristic
188C2×C4×C3⋊D3C2311yescharacteristic
189C2×C4×C3⋊D3C2312yes—
190C2×#634C2312yes—
191C2×#634C2311yescharacteristic
192C2×C3×#67C2312yes—
193C2×C3×#67C2312yes—
194C2×C3×#67C2312yes—
195C2×C3×#67C2312yes—
196C2×C3×#67C2312yes—
197C3×#239—24no—
198C3×#239—24no—
199C3×D3×D4—24no—
200C3×D3×D4—24no—
201C2×C3×D12C2312yes—
202C2×C3×D12C2312yes—
203C2×C3×D12C2311yescharacteristic
204C2×C3×D12C2311yescharacteristic
205C2×C3×D12C2311yescharacteristic
206C2×C3×D12C2312yes—
207C2×C3×D12C2312yes—
208C2×C3×D12C2311yescharacteristic
209C2×C3×C4×D3C2312yes—
210C2×C3×C4×D3C2312yes—
211C2×C3×C4×D3C2311yescharacteristic
212C2×C3×C4×D3C2311yescharacteristic
213C2×C3×C4×D3C2312yes—
214C2×C3×C4×D3C2311yescharacteristic
215D3×#67—28no—
216D3×#67—28no—
217D3×#67—44no—
218D3×#67—44no—
219C2×#627C2311yescharacteristic
220C2×#626C2311yescharacteristic
221C2×#626C2311yescharacteristic
222C2×#626C2312yes—
223C2×#626C2311yescharacteristic
224C2×#626C2312yes—
225C2×#626C2311yescharacteristic
226C2×#625—28no—
227C2×#625C2312yes—
228C2×#625C2312yes—
229C2×#625C2312yes—
230C2×#625C2311yescharacteristic
231C2×#625C2312yes—
232C2×#625C2312yes—
233C2×#625C2312yes—
234C2×#625C2312yes—
235C2×#624C2311yescharacteristic
236#3805—28no—
237C2×D3×Dic3C2312yes—
238C2×D3×Dic3C2311yescharacteristic
239C2×D3×Dic3C2311yescharacteristic
240C2×D3×Dic3C2312yes—
241C2×D3×Dic3C2312yes—
242C2×D3×Dic3C2312yes—
243C2×D3×Dic3C2312yes—
244#3802—24no—
245#3802—24no—
246#3802—28no—
247D3×D12—44no—
248C4×D32—24no—
249C4×D32—28no—
250#3798—24no—
251#3795—24no—
252#3795—24no—
253#3795—28no—
254#3795—28no—
255#3795D418yescomplemented
256C32×C22⋊C4C2312yes—
257C32×C22⋊C4C2312yes—
258C32×C42C2311yescharacteristic
259#3757C2312yes—
260#3752C2311yescharacteristic
261#3752C2311yescharacteristic
262#3752C2312yes—
263C4⋊(C3⋊Dic3)C2311yescharacteristic
264C4⋊(C3⋊Dic3)C2311yescharacteristic
265#3750C2312yes—
266#3750C2312yes—
267C4×C3⋊Dic3C2312yes—
268C3×#217C2312yes—
269C3×(C2×D3)⋊C4C2311yescharacteristic
270C3×(C2×D3)⋊C4C2312yes—
271C3×(C2×D3)⋊C4C2311yescharacteristic
272C3×(C2×D3)⋊C4C2311yescharacteristic
273C3×(C2×D3)⋊C4C2312yes—
274C3×(C2×D3)⋊C4C2312yes—
275C3×(C2×D3)⋊C4C2312yes—
276C3×(C2×D3)⋊C4C2311yescharacteristic
277C3×C4⋊Dic3C2311yescharacteristic
278C3×C4⋊Dic3C2311yescharacteristic
279C3×Dic3⋊C4C2312yes—
280C3×Dic3⋊C4C2311yescharacteristic
281C3×Dic3⋊C4C2311yescharacteristic
282C3×C4×Dic3C2311yescharacteristic
283#3724C2312yes—
284Dic3⋊Dic3C2312yes—
285Dic3⋊Dic3C2311yescharacteristic
286Dic3⋊Dic3C2311yescharacteristic
287#3722C2311yescharacteristic
288#3722C2311yescharacteristic
289(C2×D3)⋊Dic3C2312yes—
290(C2×D3)⋊Dic3C2312yes—
291(C2×D3)⋊Dic3C2312yes—
292(C2×D3)⋊Dic3C2311yescharacteristic
293(C2×D3)⋊Dic3C2312yes—
294(C2×D3)⋊Dic3C2311yescharacteristic
295(C2×D3)⋊Dic3C2312yes—
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—31no—
299C2×C3×#41—31no—
300C22×C3×D4—31no—
301C22×C3×D4—31no—
302C22×#67—32no—
303C22×#67—32no—
304C22×#67—32no—
305C22×#67—32no—
306C22×#67—32no—
307C22×#67—32no—
308D3×#41—68no—
309D3×#41—68no—
310C2×#239C2×D311yescharacteristic, complemented
311C2×#239C2×D311yescharacteristic, complemented
312C2×D3×Q8—31no—
313C2×D3×Q8—31no—
314C2×D3×Q8—61no—
315#1004—68no—
316#1004—68no—
317C2×#237—31no—
318C2×#237—31no—
319C2×#237—32no—
320C2×#237—32no—
321C2×#237—31no—
322C2×#237—31no—
323C2×#237—31no—
324C2×#237—32no—
325C2×#237—32no—
326C2×#237—61no—
327C2×D3×D4—32no—
328C2×D3×D4—32no—
329C2×D3×D4—32no—
330C2×D3×D4—32no—
331C2×D3×D4—31no—
332C2×D3×D4—31no—
333C2×D3×D4—31no—
334C2×D3×D4—31no—
335C2×D3×D4—32no—
336C2×D3×D4—32no—
337C2×D3×D4—32no—
338C2×D3×D4C2×D311yescharacteristic, complemented
339C2×D3×D4C2×D311yescharacteristic, complemented
340C2×#235—31no—
341C2×#235—31no—
342C2×#235—32no—
343C2×#235—31no—
344C2×#235—32no—
345C2×#235—31no—
346C2×#235—31no—
347C22×D12—32no—
348C22×C4×D3—32no—
349C22×C4×D3—31no—
350C22×C4×D3—31no—
351C22×C4×D3—32no—
352C3×#127—31no—
353C3×#127—31no—
354C3×#124—21no—
355C3×#124—31no—
356C3×#124C2×D311yescharacteristic, complemented
357C3×#124C2×D311yescharacteristic, complemented
358C3×#123—32no—
359C3×C22⋊Q8—31no—
360C3×#121—31no—
361C3×#121—32no—
362C3×#121—32no—
363C3×#121—32no—
364C3×#120—32no—
365C3×#120—32no—
366C3×#120—32no—
367C3×C4×D4—31no—
368C3×C4×D4—31no—
369C3×#117—31no—
370C2×C3×C22⋊C4—32no—
371#953—32no—
372C2×#217—32no—
373#947C2×D311yescharacteristic, complemented
374#946—31no—
375#946—31no—
376#946—61no—
377#946C2×D311yescharacteristic, complemented
378#940—32no—
379#940—32no—
380#940—32no—
381#940—32no—
382#940C2×D311yescharacteristic, complemented
383#939—32no—
384#939—32no—
385#939—32no—
386#939—32no—
387#939—32no—
388#939—32no—
389#939—32no—
390#939—32no—
391#939—32no—
392#939—31no—
393#939—32no—
394#938—31no—
395#938—31no—
396#938—32no—
397#938—32no—
398#938—31no—
399#938—31no—
400#938—32no—
401#938—32no—
402#938—31no—
403#938—31no—
404#938—61no—
405#938C2×D311yescharacteristic, complemented
406#937—32no—
407#937—32no—
408#937—32no—
409#937—32no—
410#937—32no—
411#937—31no—
412#937—32no—
413D4×Dic3—32no—
414D4×Dic3—32no—
415D4×Dic3—31no—
416#930—32no—
417#930—31no—
418#930—31no—
419#930—32no—
420#929—32no—
421C4×#67—32no—
422C4×#67—31no—
423C4×#67—31no—
424C2×(C2×D3)⋊C4—32no—
425C2×C4⋊Dic3—31no—
426#924—32no—
427C2×Dic3⋊C4—32no—
428#897—31no—
429#897—31no—
430#896—32no—
431#896—32no—
432#896—31no—
433#895—31no—
434#895—32no—
435#895—31no—
436#895—31no—
437#895—31no—
438#894—31no—
439#893—32no—
440#893—32no—
441#892—32no—
442D3×C4⋊C4—32no—
443D3×C4⋊C4—31no—
444#887—31no—
445#886—31no—
446#886—31no—
447#885—32no—
448#885—32no—
449#885—32no—
450#885—32no—
451#885—62no—
452#884—32no—
453#884—32no—
454#884—32no—
455#884—32no—
456#884—32no—
457#884—32no—
458#884—32no—
459#884—32no—
460#884—32no—
461#884—32no—
462#884—32no—
463#884—31no—
464#884—62no—
465#884C2×D312yescomplemented
466#884C2×D312yescomplemented
467#884C2×D312yescomplemented
468#883—32no—
469#883—31no—
470#883C2×D312yescomplemented
471#882—32no—
472#882—32no—
473#882—32no—
474#882—31no—
475#882—31no—
476#882—31no—
477#882C2×D312yescomplemented
478#882C2×D312yescomplemented
479#882C2×D312yescomplemented
480#67⋊C4—32no—
481#67⋊C4—32no—
482#67⋊C4—32no—
483#67⋊C4—32no—
484#67⋊C4—32no—
485#67⋊C4—32no—
486#67⋊C4—32no—
487#67⋊C4—62no—
488D3×C22⋊C4—32no—
489D3×C22⋊C4—32no—
490D3×C22⋊C4C2×D312yescomplemented
491#878—32no—
492#878—32no—
493#878—32no—
494#878—31no—
495#878—62no—
496#877—32no—
497#874C2×D311yescharacteristic, complemented
498C4×D12—31no—
499C4×D12—31no—
500C4×D12—31no—
501C4×D12—31no—
502C4×D12—31no—
503C4×D12—61no—
504C4×D12C2×D311yescharacteristic, complemented
505C4×D12C2×D311yescharacteristic, complemented
506#872C2×D311yescharacteristic, complemented
507C4×Dic6—31no—
508C4×Dic6—31no—
509C4×Dic6—31no—
510C4×Dic6—61no—
511C23×C32C2412yes—
512C22×C3⋊D3C2411yescharacteristic
513C22×C3⋊D3C2411yescharacteristic
514C22×C3×D3—24no—
515C22×C3×D3—24no—
516C22×C3×D3—42no—
517C22×C3×D3—42no—
518C22×C3×D3—42no—
519C22×C3×D3—42no—
520C22×C3×D3C2412yes—
521C22×C3×D3C2412yes—
522C22×C3×D3C2411yescharacteristic
523C22×C3×D3C2411yescharacteristic
524C22×C3×D3C2412yes—
525C22×C3×D3C2411yescharacteristic
526C2×D32—24no—
527C2×D32—22no—
528C2×D32—22no—
529C2×D32—24no—
530C2×D32—24no—
531C2×D32—42no—
532C2×D32—41no—
533C2×D32—42no—
534C2×D32—42no—
535C32×Q8—22no—
536C32×D4—22no—
537C2×C32×C4C2411yescharacteristic
538C2×C32×C4C2411yescharacteristic
539C2×C32×C4C2412yes—
540C2×C32×C4C2411yescharacteristic
541#638—24no—
542#638—24no—
543C2×C3⋊Dic3—24no—
544C2×C3⋊Dic3C2412yes—
545C2×C3⋊Dic3C2411yescharacteristic
546C2×C3⋊Dic3C2411yescharacteristic
547C2×C3⋊Dic3C2412yes—
548C4⋊(C3⋊D3)—22no—
549C4×C3⋊D3—22no—
550C4×C3⋊D3—22no—
551C4×C3⋊D3—24no—
552#634—24no—
553#634C2×D414yescomplemented
554C3×#67—24no—
555C3×#67—24no—
556C3×#67—42no—
557C3×#67—42no—
558C3×#67—42no—
559C2×C3×Dic3C2411yescharacteristic
560C2×C3×Dic3C2412yes—
561C2×C3×Dic3C2411yescharacteristic
562C2×C3×Dic3C2411yescharacteristic
563C2×C3×Dic3C2411yescharacteristic
564C2×C3×Dic3C2411yescharacteristic
565C3×D12—24no—
566C3×D12—24no—
567C3×D12—22no—
568C3×D12—22no—
569C3×D12—42no—
570C3×D12—41no—
571C3×D12—42no—
572C3×D12C2×D414yescomplemented
573C3×C4×D3—24no—
574C3×C4×D3—22no—
575C3×C4×D3—22no—
576C3×C4×D3—24no—
577C3×C4×D3—42no—
578C3×C4×D3C2×D414yescomplemented
579#627—22no—
580#626—24no—
581#626—22no—
582#626—22no—
583#626—22no—
584#626—42no—
585#626—41no—
586#625—24no—
587#625—22no—
588#625—24no—
589#625—24no—
590#625—24no—
591#625—42no—
592#625—42no—
593#625C2×D418yescomplemented
594#624—22no—
595D3×Dic3—22no—
596D3×Dic3—24no—
597D3×Dic3—24no—
598D3×Dic3—22no—
599D3×Dic3—42no—
600D3×Dic3—42no—
601D3×Dic3C2×D418yescomplemented
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—91no—
605#550—91no—
606#548—91no—
607#548—91no—
608#546—31no—
609#546—92no—
610#546—92no—
611#546—91no—
612D42—91no—
613D42—92no—
614D42—92no—
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—
626C24×C3—32no—
627C23×D3—31no—
628C23×D3—32no—
629C23×D3—31no—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3C22×D312yes—
634C23×D3C22×D312yes—
635C3×#41—64no—
636C3×#41—64no—
637C2×C3×Q8—21no—
638C2×C3×Q8C22×D311yescharacteristic
639C2×C3×Q8C22×D311yescharacteristic
640C2×C3×D4—21no—
641C2×C3×D4—32no—
642C2×C3×D4—32no—
643C2×C3×D4—32no—
644C2×C3×D4—32no—
645C2×C3×D4—32no—
646C2×C3×D4—31no—
647C2×C3×D4—32no—
648C2×C3×D4—31no—
649C2×C3×D4—31no—
650C2×C3×D4—32no—
651C2×C3×D4—32no—
652C2×C3×D4—31no—
653C2×C3×D4—32no—
654C2×C3×D4—64no—
655C2×C3×D4—64no—
656C2×C3×D4C22×D311yescharacteristic
657C2×C3×D4C22×D311yescharacteristic
658C22×C3×C4—31no—
659C22×C3×C4—32no—
660C22×C3×C4—32no—
661C22×C3×C4—31no—
662C22×C3×C4—31no—
663C22×C3×C4—32no—
664C2×#67—32no—
665C2×#67—32no—
666C2×#67—32no—
667C2×#67—32no—
668C2×#67—32no—
669C2×#67—32no—
670C2×#67—31no—
671C2×#67—32no—
672C2×#67—32no—
673C2×#67—31no—
674C2×#67—32no—
675C2×#67—32no—
676C2×#67—32no—
677C2×#67—32no—
678C2×#67—32no—
679C2×#67—32no—
680C2×#67—32no—
681C2×#67—32no—
682C2×#67—32no—
683C2×#67—32no—
684C2×#67—32no—
685C2×#67—31no—
686C2×#67—31no—
687C2×#67—31no—
688C2×#67—31no—
689C2×#67—32no—
690C2×#67—62no—
691C2×#67—62no—
692C2×#67—68no—
693C2×#67—68no—
694C2×#67—68no—
695C2×#67—68no—
696C2×#67—124no—
697C2×#67—124no—
698C2×#67C22×D312yes—
699C2×#67C22×D312yes—
700C2×#67C22×D312yes—
701C2×#67C22×D312yes—
702C2×#67C22×D312yes—
703C22×Dic3—32no—
704C22×Dic3—32no—
705C22×Dic3—32no—
706C22×Dic3—32no—
707C22×Dic3—31no—
708C22×Dic3—31no—
709C22×Dic3—32no—
710C22×Dic3—32no—
711C22×Dic3—32no—
712C22×Dic3—62no—
713#239—24no—
714#239—24no—
715D3×Q8—64no—
716D3×Q8—64no—
717D3×Q8—124no—
718#237—38no—
719#237—64no—
720#237—64no—
721#237—64no—
722#237—64no—
723#237—68no—
724#237—68no—
725#237—68no—
726#237—68no—
727#237—124no—
728D3×D4—24no—
729D3×D4—24no—
730D3×D4—68no—
731D3×D4—68no—
732D3×D4—68no—
733D3×D4—64no—
734D3×D4—64no—
735D3×D4—68no—
736D3×D4—64no—
737D3×D4—64no—
738D3×D4—124no—
739D3×D4—124no—
740D3×D4—124no—
741#235—38no—
742#235—64no—
743#235—64no—
744#235—64no—
745#235—68no—
746#235—68no—
747#235—64no—
748C2×D12—31no—
749C2×D12—32no—
750C2×D12—31no—
751C2×D12—31no—
752C2×D12—31no—
753C2×D12—31no—
754C2×D12—31no—
755C2×D12—32no—
756C2×D12—61no—
757C2×D12—124no—
758C2×D12C22×D311yescharacteristic
759C2×D12C22×D311yescharacteristic
760C2×D12C22×D312yes—
761C2×D12C22×D312yes—
762C2×D12C22×D311yescharacteristic
763C2×D12C22×D312yes—
764C2×D12C22×D312yes—
765C2×D12C22×D311yescharacteristic
766C2×C4×D3—32no—
767C2×C4×D3—31no—
768C2×C4×D3—32no—
769C2×C4×D3—32no—
770C2×C4×D3—31no—
771C2×C4×D3—31no—
772C2×C4×D3—31no—
773C2×C4×D3—31no—
774C2×C4×D3—31no—
775C2×C4×D3—32no—
776C2×C4×D3—32no—
777C2×C4×D3—31no—
778C2×C4×D3—31no—
779C2×C4×D3—32no—
780C2×C4×D3—32no—
781C2×C4×D3—61no—
782C2×C4×D3—61no—
783C2×C4×D3—62no—
784C2×C4×D3—68no—
785C2×C4×D3—68no—
786C2×C4×D3—64no—
787C2×C4×D3—64no—
788C2×C4×D3C22×D311yescharacteristic
789C2×C4×D3C22×D311yescharacteristic
790C2×C4×D3C22×D312yes—
791C2×C4×D3C22×D312yes—
792C2×C4×D3C22×D312yes—
793C2×C4×D3C22×D311yescharacteristic
794C2×Dic6—31no—
795C2×Dic6—31no—
796C2×Dic6—32no—
797C2×Dic6—32no—
798C2×Dic6—31no—
799C2×Dic6—31no—
800C2×Dic6—61no—
801C2×Dic6—62no—
802C3×C4⋊C4—31no—
803C3×C4⋊C4—31no—
804C3×C4⋊C4—31no—
805C3×C4⋊C4—31no—
806C3×C4⋊C4—32no—
807C3×C22⋊C4—22no—
808C3×C22⋊C4—22no—
809C3×C22⋊C4—32no—
810C3×C22⋊C4—32no—
811C3×C22⋊C4—32no—
812C3×C22⋊C4—31no—
813C3×C22⋊C4—31no—
814C3×C22⋊C4—31no—
815C3×C22⋊C4—32no—
816C3×C22⋊C4—31no—
817C3×C22⋊C4—32no—
818C3×C22⋊C4C22×D312yes—
819C3×C22⋊C4C22×D312yes—
820C3×C22⋊C4C22×D312yes—
821C3×C22⋊C4C22×D312yes—
822C3×C42—21no—
823C3×C42—31no—
824C3×C42C22×D311yescharacteristic
825C3×C42C22×D311yescharacteristic
826#217—32no—
827#217—32no—
828#217—32no—
829#217—32no—
830#217—31no—
831#217—32no—
832#217—31no—
833#217—32no—
834#217—32no—
835#217—62no—
836#217C22×D312yes—
837(C2×D3)⋊C4—32no—
838(C2×D3)⋊C4—31no—
839(C2×D3)⋊C4—31no—
840(C2×D3)⋊C4—32no—
841(C2×D3)⋊C4—32no—
842(C2×D3)⋊C4—32no—
843(C2×D3)⋊C4—32no—
844(C2×D3)⋊C4—31no—
845(C2×D3)⋊C4—31no—
846(C2×D3)⋊C4—31no—
847(C2×D3)⋊C4—31no—
848(C2×D3)⋊C4—32no—
849(C2×D3)⋊C4—32no—
850(C2×D3)⋊C4—31no—
851(C2×D3)⋊C4—31no—
852(C2×D3)⋊C4—31no—
853(C2×D3)⋊C4—31no—
854(C2×D3)⋊C4—61no—
855(C2×D3)⋊C4—61no—
856(C2×D3)⋊C4—62no—
857(C2×D3)⋊C4C22×D311yescharacteristic
858(C2×D3)⋊C4C22×D311yescharacteristic
859(C2×D3)⋊C4C22×D311yescharacteristic
860(C2×D3)⋊C4C22×D312yes—
861(C2×D3)⋊C4C22×D311yescharacteristic
862(C2×D3)⋊C4C22×D312yes—
863(C2×D3)⋊C4C22×D312yes—
864(C2×D3)⋊C4C22×D312yes—
865C4⋊Dic3—31no—
866C4⋊Dic3—31no—
867C4⋊Dic3—31no—
868C4⋊Dic3—31no—
869C4⋊Dic3—31no—
870C4⋊Dic3—31no—
871C4⋊Dic3—32no—
872C4⋊Dic3—61no—
873C4⋊Dic3—61no—
874C4⋊Dic3C22×D311yescharacteristic
875C4⋊Dic3C22×D311yescharacteristic
876Dic3⋊C4—32no—
877Dic3⋊C4—32no—
878Dic3⋊C4—32no—
879Dic3⋊C4—32no—
880Dic3⋊C4—32no—
881Dic3⋊C4—32no—
882Dic3⋊C4—31no—
883Dic3⋊C4—31no—
884Dic3⋊C4—32no—
885Dic3⋊C4—62no—
886Dic3⋊C4—62no—
887Dic3⋊C4C22×D311yescharacteristic
888Dic3⋊C4C22×D311yescharacteristic
889Dic3⋊C4C22×D312yes—
890C4×Dic3—32no—
891C4×Dic3—32no—
892C4×Dic3—32no—
893C4×Dic3—32no—
894C4×Dic3—62no—
895C4×Dic3C22×D311yescharacteristic
896C22×C32—22no—
897C22×C32—22no—
898C22×C32—22no—
899C22×C32C2511yescharacteristic
900C2×C3⋊D3—21no—
901C2×C3⋊D3—21no—
902C2×C3⋊D3—21no—
903C2×C3⋊D3—21no—
904C2×C3⋊D3—21no—
905C2×C3⋊D3H(5,𝔽2)12yescomplemented
906C2×C3×D3—21no—
907C2×C3×D3—22no—
908C2×C3×D3—22no—
909C2×C3×D3—21no—
910C2×C3×D3—22no—
911C2×C3×D3—21no—
912C2×C3×D3—22no—
913C2×C3×D3—21no—
914C2×C3×D3—21no—
915C2×C3×D3—21no—
916C2×C3×D3—22no—
917C2×C3×D3—22no—
918C2×C3×D3—21no—
919C2×C3×D3—22no—
920C2×C3×D3—22no—
921C2×C3×D3—21no—
922C2×C3×D3—84no—
923C2×C3×D3—84no—
924C2×C3×D3C22×D412yes—
925C2×C3×D3C22×D414yes—
926D32—48no—
927D32—44no—
928D32—84no—
929C32×C4—22no—
930C32×C4—21no—
931C32×C4—21no—
932C32×C4C22×D412yes—
933C3⋊Dic3—21no—
934C3⋊Dic3—21no—
935C3⋊Dic3—22no—
936C3⋊Dic3C22×D414yes—
937C3×Dic3—21no—
938C3×Dic3—21no—
939C3×Dic3—21no—
940C3×Dic3—22no—
941C3×Dic3—21no—
942C3×Dic3C22×D412yes—
943H(5,𝔽2)—188no—
944C2×#41—31no—
945C2×#41—31no—
946C2×#41—91no—
947C2×#41—91no—
948C2×#41—92no—
949C2×#41—92no—
950C2×#41—91no—
951C2×#41—91no—
952C2×#41—92no—
953C2×#41—91no—
954C2×#41—188no—
955C22×Q8—91no—
956C22×D4—31no—
957C22×D4—31no—
958C22×D4—92no—
959C22×D4—91no—
960C22×D4—92no—
961C22×D4—91no—
962C22×D4—92no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—92no—
966C22×D4—92no—
967C23×C4—91no—
968C23×C4—92no—
969#127—31no—
970#127—31no—
971#127—92no—
972#127—92no—
973#124—31no—
974#124—92no—
975#124—92no—
976#124D3211yescharacteristic, complemented
977#123—32no—
978#123—91no—
979#123—91no—
980#123—92no—
981C22⋊Q8—31no—
982C22⋊Q8—91no—
983C22⋊Q8—92no—
984C22⋊Q8—91no—
985C22⋊Q8—92no—
986C22⋊Q8—91no—
987C22⋊Q8—92no—
988#121—31no—
989#121—32no—
990#121—32no—
991#121—32no—
992#121—92no—
993#121—91no—
994#121—92no—
995#121—92no—
996#121—92no—
997#121—92no—
998#121—92no—
999#121—92no—
1000#121—92no—
1001#121—91no—
1002#121—91no—
1003#121—92no—
1004#121—91no—
1005#121—91no—
1006#121—92no—
1007#121—91no—
1008#121—92no—
1009#121—92no—
1010#121—92no—
1011#121—91no—
1012#121—92no—
1013#120—32no—
1014#120—32no—
1015#120—32no—
1016#120—91no—
1017#120—91no—
1018#120—92no—
1019#120—92no—
1020#120—92no—
1021#120—92no—
1022#120—92no—
1023C4×Q8—91no—
1024C4×Q8—91no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—91no—
1028C4×D4—91no—
1029C4×D4—91no—
1030C4×D4—92no—
1031C4×D4—92no—
1032C4×D4—92no—
1033C4×D4—92no—
1034C4×D4—92no—
1035C4×D4—92no—
1036C4×D4—91no—
1037#117—31no—
1038#117—92no—
1039C2×C4⋊C4—92no—
1040C2×C4⋊C4—91no—
1041C2×C22⋊C4—32no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C23×C3—22no—
1045C23×C3—32no—
1046C23×C3—31no—
1047C23×C3—32no—
1048C23×C3—32no—
1049C23×C3—31no—
1050C23×C3—31no—
1051C23×C3—64no—
1052C23×C3—64no—
1053C23×C3—122no—
1054C23×C3—122no—
1055C23×C3—122no—
1056C23×C3—122no—
1057C23×C3C23×D312yes—
1058C23×C3C23×D312yes—
1059C22×D3—24no—
1060C22×D3—24no—
1061C22×D3—31no—
1062C22×D3—31no—
1063C22×D3—31no—
1064C22×D3—31no—
1065C22×D3—42no—
1066C22×D3—42no—
1067C22×D3—42no—
1068C22×D3—42no—
1069C22×D3—61no—
1070C22×D3—61no—
1071C22×D3—64no—
1072C22×D3—64no—
1073C22×D3—62no—
1074C22×D3—62no—
1075C22×D3—64no—
1076C22×D3—62no—
1077C22×D3—64no—
1078C22×D3—64no—
1079C22×D3—62no—
1080C22×D3—64no—
1081C22×D3—122no—
1082C22×D3—121no—
1083C22×D3—121no—
1084C22×D3—122no—
1085C22×D3—122no—
1086C22×D3—122no—
1087C22×D3—122no—
1088C22×D3—122no—
1089C22×D3C23×D312yes—
1090C22×D3C23×D312yes—
1091C22×D3C23×D311yescharacteristic
1092C22×D3C23×D311yescharacteristic
1093C22×D3C23×D312yes—
1094C22×D3C23×D311yescharacteristic
1095C3×Q8—22no—
1096C3×Q8—22no—
1097C3×Q8—42no—
1098C3×D4—22no—
1099C3×D4—22no—
1100C3×D4—34no—
1101C3×D4—42no—
1102C3×D4—64no—
1103C3×D4—64no—
1104C3×D4—64no—
1105C3×D4—64no—
1106C3×D4—62no—
1107C3×D4—62no—
1108C3×D4—122no—
1109C3×D4—122no—
1110C3×D4—121no—
1111C3×D4—122no—
1112C3×D4—122no—
1113C3×D4—122no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—22no—
1118C2×C3×C4—31no—
1119C2×C3×C4—34no—
1120C2×C3×C4—31no—
1121C2×C3×C4—32no—
1122C2×C3×C4—31no—
1123C2×C3×C4—31no—
1124C2×C3×C4—31no—
1125C2×C3×C4—64no—
1126C2×C3×C4—64no—
1127C2×C3×C4—62no—
1128C2×C3×C4—62no—
1129C2×C3×C4—122no—
1130C2×C3×C4C23×D311yescharacteristic
1131C2×C3×C4C23×D311yescharacteristic
1132C2×C3×C4C23×D311yescharacteristic
1133C2×C3×C4C23×D311yescharacteristic
1134C2×C3×C4C23×D312yes—
1135C2×C3×C4C23×D312yes—
1136C2×C3×C4C23×D311yescharacteristic
1137C2×C3×C4C23×D311yescharacteristic
1138#67—24no—
1139#67—24no—
1140#67—38no—
1141#67—38no—
1142#67—42no—
1143#67—42no—
1144#67—42no—
1145#67—64no—
1146#67—62no—
1147#67—62no—
1148#67—64no—
1149#67—64no—
1150#67—64no—
1151#67—64no—
1152#67—64no—
1153#67—64no—
1154#67—64no—
1155#67—62no—
1156#67—64no—
1157#67—64no—
1158#67—64no—
1159#67—64no—
1160#67—62no—
1161#67—64no—
1162#67—62no—
1163#67—124no—
1164#67—124no—
1165#67—122no—
1166#67—121no—
1167#67—122no—
1168#67—122no—
1169#67—122no—
1170#67—122no—
1171C2×Dic3—32no—
1172C2×Dic3—32no—
1173C2×Dic3—38no—
1174C2×Dic3—32no—
1175C2×Dic3—32no—
1176C2×Dic3—31no—
1177C2×Dic3—31no—
1178C2×Dic3—31no—
1179C2×Dic3—31no—
1180C2×Dic3—62no—
1181C2×Dic3—62no—
1182C2×Dic3—61no—
1183C2×Dic3—61no—
1184C2×Dic3—64no—
1185C2×Dic3—64no—
1186C2×Dic3—62no—
1187C2×Dic3—64no—
1188C2×Dic3—64no—
1189C2×Dic3—62no—
1190C2×Dic3—124no—
1191C2×Dic3—122no—
1192C2×Dic3—122no—
1193C2×Dic3C23×D311yescharacteristic
1194C2×Dic3C23×D312yes—
1195C2×Dic3C23×D311yescharacteristic
1196C2×Dic3C23×D311yescharacteristic
1197C2×Dic3C23×D311yescharacteristic
1198C2×Dic3C23×D311yescharacteristic
1199D12—24no—
1200D12—24no—
1201D12—22no—
1202D12—22no—
1203D12—42no—
1204D12—41no—
1205D12—42no—
1206D12—62no—
1207D12—62no—
1208D12—62no—
1209D12—64no—
1210D12—62no—
1211D12—62no—
1212D12—122no—
1213D12—121no—
1214D12—122no—
1215D12D3×D414yescomplemented
1216C4×D3—24no—
1217C4×D3—22no—
1218C4×D3—22no—
1219C4×D3—24no—
1220C4×D3—38no—
1221C4×D3—42no—
1222C4×D3—62no—
1223C4×D3—64no—
1224C4×D3—64no—
1225C4×D3—64no—
1226C4×D3—64no—
1227C4×D3—62no—
1228C4×D3—62no—
1229C4×D3—62no—
1230C4×D3—62no—
1231C4×D3—62no—
1232C4×D3—62no—
1233C4×D3—62no—
1234C4×D3—124no—
1235C4×D3—122no—
1236C4×D3—122no—
1237C4×D3—122no—
1238C4×D3—122no—
1239C4×D3D3×D414yescomplemented
1240Dic6—34no—
1241Dic6—34no—
1242Dic6—64no—
1243Dic6—62no—
1244Dic6—64no—
1245Dic6—64no—
1246Dic6—62no—
1247Dic6—124no—
1248C2×C32—42no—
1249C2×C32C23×D411yescharacteristic
1250C2×C32C2×H(5,𝔽2)11yescharacteristic
1251C2×C32#58511yescharacteristic
1252C3⋊D3—22no—
1253C3⋊D3—41no—
1254C3×D3—24no—
1255C3×D3—22no—
1256C3×D3—42no—
1257C3×D3—41no—
1258C3×D3—42no—
1259C3×D3—41no—
1260C24—32no—
1261C24—32no—
1262C24—91no—
1263C24—92no—
1264C24—92no—
1265#41—64no—
1266#41—64no—
1267#41—98no—
1268#41—184no—
1269#41—188no—
1270#41—188no—
1271#41—184no—
1272#41—184no—
1273#41—188no—
1274#41—184no—
1275C2×Q8—91no—
1276C2×Q8—91no—
1277C2×Q8—92no—
1278C2×Q8—184no—
1279C2×Q8C2×D3211yescharacteristic
1280C2×D4—32no—
1281C2×D4—32no—
1282C2×D4—32no—
1283C2×D4—32no—
1284C2×D4—32no—
1285C2×D4—31no—
1286C2×D4—32no—
1287C2×D4—32no—
1288C2×D4—31no—
1289C2×D4—31no—
1290C2×D4—31no—
1291C2×D4—32no—
1292C2×D4—32no—
1293C2×D4—64no—
1294C2×D4—64no—
1295C2×D4—91no—
1296C2×D4—92no—
1297C2×D4—91no—
1298C2×D4—91no—
1299C2×D4—91no—
1300C2×D4—92no—
1301C2×D4—92no—
1302C2×D4—92no—
1303C2×D4—91no—
1304C2×D4—92no—
1305C2×D4—92no—
1306C2×D4—92no—
1307C2×D4—92no—
1308C2×D4—92no—
1309C2×D4—92no—
1310C2×D4—92no—
1311C2×D4—91no—
1312C2×D4—188no—
1313C2×D4—184no—
1314C2×D4—184no—
1315C2×D4—188no—
1316C2×D4—188no—
1317C2×D4—188no—
1318C2×D4—364no—
1319C2×D4—364no—
1320C2×D4—364no—
1321C2×D4C2×D3211yescharacteristic
1322C22×C4—31no—
1323C22×C4—32no—
1324C22×C4—31no—
1325C22×C4—31no—
1326C22×C4—32no—
1327C22×C4—32no—
1328C22×C4—91no—
1329C22×C4—92no—
1330C22×C4—91no—
1331C22×C4—92no—
1332C22×C4—92no—
1333C22×C4—91no—
1334C22×C4—92no—
1335C22×C4—92no—
1336C22×C4—92no—
1337C22×C4—92no—
1338C22×C4—91no—
1339C22×C4—91no—
1340C22×C4—184no—
1341C22×C4—188no—
1342C4⋊C4—31no—
1343C4⋊C4—31no—
1344C4⋊C4—31no—
1345C4⋊C4—31no—
1346C4⋊C4—32no—
1347C4⋊C4—92no—
1348C4⋊C4—92no—
1349C4⋊C4—91no—
1350C4⋊C4—91no—
1351C4⋊C4—92no—
1352C4⋊C4—91no—
1353C4⋊C4—92no—
1354C4⋊C4—91no—
1355C22⋊C4—32no—
1356C22⋊C4—31no—
1357C22⋊C4—32no—
1358C22⋊C4—32no—
1359C22⋊C4—31no—
1360C22⋊C4—31no—
1361C22⋊C4—32no—
1362C22⋊C4—31no—
1363C22⋊C4—32no—
1364C22⋊C4—91no—
1365C22⋊C4—91no—
1366C22⋊C4—92no—
1367C22⋊C4—92no—
1368C22⋊C4—92no—
1369C22⋊C4—91no—
1370C22⋊C4—91no—
1371C22⋊C4—92no—
1372C22⋊C4—92no—
1373C22⋊C4—92no—
1374C22⋊C4—92no—
1375C22⋊C4—91no—
1376C22⋊C4—91no—
1377C22⋊C4C2×D3212yes—
1378C22⋊C4C2×D3212yes—
1379C42—31no—
1380C42—92no—
1381C42—92no—
1382C42C2×D3211yescharacteristic
1383C22×C3—22no—
1384C22×C3—22no—
1385C22×C3—22no—
1386C22×C3—22no—
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—21no—
1390C22×C3—34no—
1391C22×C3—32no—
1392C22×C3—42no—
1393C22×C3—42no—
1394C22×C3—42no—
1395C22×C3—61no—
1396C22×C3—61no—
1397C22×C3—62no—
1398C22×C3—62no—
1399C22×C3—61no—
1400C22×C3—62no—
1401C22×C3—62no—
1402C22×C3—61no—
1403C22×C3—62no—
1404C22×C3—62no—
1405C22×C3—61no—
1406C22×C3—62no—
1407C22×C3—61no—
1408C22×C3—62no—
1409C22×C3—61no—
1410C22×C3—61no—
1411C22×C3—244no—
1412C22×C3—244no—
1413C22×C3C24×D311yescharacteristic
1414C22×C3C24×D311yescharacteristic
1415C2×D3—22no—
1416C2×D3—22no—
1417C2×D3—21no—
1418C2×D3—21no—
1419C2×D3—22no—
1420C2×D3—21no—
1421C2×D3—21no—
1422C2×D3—22no—
1423C2×D3—21no—
1424C2×D3—21no—
1425C2×D3—22no—
1426C2×D3—22no—
1427C2×D3—21no—
1428C2×D3—21no—
1429C2×D3—22no—
1430C2×D3—22no—
1431C2×D3—32no—
1432C2×D3—32no—
1433C2×D3—62no—
1434C2×D3—61no—
1435C2×D3—61no—
1436C2×D3—61no—
1437C2×D3—61no—
1438C2×D3—61no—
1439C2×D3—61no—
1440C2×D3—61no—
1441C2×D3—61no—
1442C2×D3—61no—
1443C2×D3—61no—
1444C2×D3—84no—
1445C2×D3—84no—
1446C2×D3—121no—
1447C2×D3—121no—
1448C2×D3—121no—
1449C2×D3—121no—
1450C2×D3—121no—
1451C2×D3—124no—
1452C2×D3—128no—
1453C2×D3—128no—
1454C2×D3—124no—
1455C2×D3—244no—
1456C2×D3—244no—
1457C2×D3C2×D3×D414yes—
1458C2×D3C2×D3×D412yes—
1459C3×C4—22no—
1460C3×C4—22no—
1461C3×C4—21no—
1462C3×C4—21no—
1463C3×C4—21no—
1464C3×C4—21no—
1465C3×C4—22no—
1466C3×C4—32no—
1467C3×C4—42no—
1468C3×C4—41no—
1469C3×C4—41no—
1470C3×C4—61no—
1471C3×C4—61no—
1472C3×C4—61no—
1473C3×C4—61no—
1474C3×C4—62no—
1475C3×C4C2×D3×D412yes—
1476C3×C4C2×D3×D412yes—
1477Dic3—21no—
1478Dic3—21no—
1479Dic3—22no—
1480Dic3—21no—
1481Dic3—21no—
1482Dic3—34no—
1483Dic3—34no—
1484Dic3—64no—
1485Dic3—61no—
1486Dic3—61no—
1487Dic3—61no—
1488Dic3—61no—
1489Dic3—62no—
1490Dic3—62no—
1491Dic3—121no—
1492Dic3—121no—
1493Dic3—122no—
1494Dic3C2×D3×D412yes—
1495C32#348811yescharacteristic, complemented, Sylow
1496C23—31no—
1497C23—32no—
1498C23—31no—
1499C23—32no—
1500C23—31no—
1501C23—32no—
1502C23—64no—
1503C23—64no—
1504C23—91no—
1505C23—91no—
1506C23—122no—
1507C23—122no—
1508C23—122no—
1509C23—122no—
1510C23—182no—
1511C23—184no—
1512C23—184no—
1513C23—184no—
1514C23—182no—
1515C23—361no—
1516C23—362no—
1517C23—362no—
1518C23—362no—
1519C23C22×D3212yes—
1520Q8—22no—
1521Q8—94no—
1522Q8—184no—
1523Q8—182no—
1524D4—22no—
1525D4—34no—
1526D4—64no—
1527D4—64no—
1528D4—64no—
1529D4—64no—
1530D4—62no—
1531D4—62no—
1532D4—98no—
1533D4—122no—
1534D4—122no—
1535D4—121no—
1536D4—122no—
1537D4—122no—
1538D4—122no—
1539D4—182no—
1540D4—182no—
1541D4—182no—
1542D4—184no—
1543D4—182no—
1544D4—184no—
1545D4—184no—
1546D4—184no—
1547D4—184no—
1548D4—182no—
1549D4—184no—
1550D4—184no—
1551D4—362no—
1552D4—361no—
1553D4—362no—
1554D4—362no—
1555C2×C4—31no—
1556C2×C4—34no—
1557C2×C4—31no—
1558C2×C4—31no—
1559C2×C4—32no—
1560C2×C4—31no—
1561C2×C4—31no—
1562C2×C4—64no—
1563C2×C4—64no—
1564C2×C4—62no—
1565C2×C4—62no—
1566C2×C4—98no—
1567C2×C4—92no—
1568C2×C4—92no—
1569C2×C4—91no—
1570C2×C4—91no—
1571C2×C4—122no—
1572C2×C4—184no—
1573C2×C4—182no—
1574C2×C4—182no—
1575C2×C4—184no—
1576C2×C4—184no—
1577C2×C4—182no—
1578C2×C4—184no—
1579C2×C4—182no—
1580C2×C4—182no—
1581C2×C4—362no—
1582C2×C4—362no—
1583C2×C4C22×D3211yescharacteristic
1584C2×C4C22×D3211yescharacteristic
1585C2×C4C22×D3212yes—
1586C2×C4C22×D3211yescharacteristic
1587C2×C3—21no—
1588C2×C3—21no—
1589C2×C3—21no—
1590C2×C3—42no—
1591C2×C3—42no—
1592C2×C3—64no—
1593C2×C3—62no—
1594C2×C3—82no—
1595C2×C3—121no—
1596C2×C3—121no—
1597C2×C3—122no—
1598C2×C3—122no—
1599C2×C3C22×D3×D411yescharacteristic
1600C2×C3C22×D3×D411yescharacteristic
1601C2×C3#596411yescharacteristic
1602C2×C3D3×H(5,𝔽2)11yescharacteristic
1603C2×C3D3×H(5,𝔽2)11yescharacteristic
1604C2×C3#596611yescharacteristic
1605D3—22no—
1606D3—24no—
1607D3—42no—
1608D3—42no—
1609D3—41no—
1610D3—41no—
1611D3—62no—
1612D3—62no—
1613D3—122no—
1614D3—121no—
1615D3—121no—
1616D3—241no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—32no—
1621C22—34no—
1622C22—62no—
1623C22—61no—
1624C22—61no—
1625C22—62no—
1626C22—62no—
1627C22—61no—
1628C22—61no—
1629C22—62no—
1630C22—62no—
1631C22—61no—
1632C22—62no—
1633C22—61no—
1634C22—62no—
1635C22—61no—
1636C22—61no—
1637C22—62no—
1638C22—92no—
1639C22—181no—
1640C22—181no—
1641C22—181no—
1642C22—181no—
1643C22—181no—
1644C22—244no—
1645C22—244no—
1646C22—364no—
1647C22—368no—
1648C22—724no—
1649C22C23×D3211yescharacteristic
1650C4—22no—
1651C4—21no—
1652C4—21no—
1653C4—32no—
1654C4—61no—
1655C4—61no—
1656C4—62no—
1657C4—61no—
1658C4—61no—
1659C4—94no—
1660C4—181no—
1661C4—181no—
1662C4—182no—
1663C4D32×D412yes—
1664C3—21no—
1665C3#8633111yescharacteristic, complemented
1666C3#8662911yescharacteristic, complemented
1667C2—42no—
1668C2—62no—
1669C2—64no—
1670C2—121no—
1671C2—122no—
1672C2—122no—
1673C2—121no—
1674C2—182no—
1675C2—361no—
1676C2C2×D32×D411yescharacteristic
1677C2#1059669211yescharacteristic
1678C2#1059669611yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×#124C22
hypercenter#124D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #124

Complements

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

NH ≅ G/Ntype
1. C2×#64319C2semidirect
2. C2×#64313C2semidirect
3. #10596148C2semidirect
4. C3×#5676C2semidirect
5. C3×#5674C2semidirect
6. #10595428C2semidirect
7. #10595398C2semidirect
8. #10595362C2semidirect
9. #10595293C2semidirect
10. D3×#938C2semidirect
11. #10595164C2semidirect
12. #10594275C2semidirect
13. #10594274C2semidirect
14. #10594271C2semidirect
15. #10594269C2semidirect
16. #10594267C2semidirect
17. D3×#884C2semidirect
18. #10594184C2semidirect
19. #10594060C2semidirect
20. #10594004C2semidirect
21. #10593997C2semidirect
22. #10593906C2semidirect
23. #10593887C2semidirect
26. C2×Q8×C3⋊D3C22semidirect
27. C2×#3830C22semidirect
28. C2×C3×#239C22semidirect
29. C2×C3×#239C22semidirect
30. C2×C3×D3×D4C22semidirect
31. C2×C3×D3×D4C22semidirect
32. C2×D3×#67C22semidirect
33. C2×D3×#67C22semidirect
34. C2×D3×#67C22semidirect
35. C2×D3×#67C22semidirect
36. C22×#625C22semidirect
37. C2×#3805C22semidirect
40. C2×#3802C22semidirect
41. C2×#3802C22semidirect
42. C2×#3802C22semidirect
43. C2×D3×D12C22semidirect
44. C2×C4×D32C22semidirect
45. C2×C4×D32C22semidirect
46. C2×#3798C22semidirect
48. C2×#3795C22semidirect
49. C2×#3795C22semidirect
50. C2×#3795C22semidirect
51. C2×#3795C22semidirect
52. C32×#124C22semidirect
53. #64155C22semidirect
54. #64147C22semidirect
55. #64094C22semidirect
56. #64093C22semidirect
57. #64090C22semidirect
58. #64087C22semidirect
59. C4×C4⋊(C3⋊D3)C22semidirect
60. C4×#634C22semidirect
61. C3×#947C22semidirect
62. C3×#946C22semidirect
63. C3×#940C22semidirect
64. C3×#938C22semidirect
65. C3×#884C22semidirect
66. C3×#884C22semidirect
67. C3×#884C22semidirect
68. C3×#883C22semidirect
69. C3×#882C22semidirect
70. C3×#882C22semidirect
71. C3×#882C22semidirect
72. C3×D3×C22⋊C4C22semidirect
73. C3×#874C22semidirect
74. C3×C4×D12C22semidirect
75. C3×C4×D12C22semidirect
76. C3×#872C22semidirect
77. #63983C22semidirect
78. #63980C22semidirect
79. #63979C22semidirect
80. #63976C22semidirect
81. #67⋊Dic3C22semidirect
82. #63971C22semidirect
83. #63970C22semidirect
84. #63970C22semidirect
85. D3×#217C22semidirect
86. #63958C22semidirect
87. #63923C22semidirect
88. #63922C22semidirect
89. #63922C22semidirect
90. #63922C22semidirect
91. #63922C22semidirect
92. D3×(C2×D3)⋊C4C22semidirect
93. #63916C22semidirect
94. #63916C22semidirect
95. #63914C22semidirect
96. #63913C22semidirect
97. #63912C22semidirect
98. #63910C22semidirect
99. #63908C22semidirect
100. #63908C22semidirect
101. #63908C22semidirect
102. #63906C22semidirect
103. #63905C22semidirect
104. C4×#626C22semidirect
105. C4×#626C22semidirect
106. #63902C22semidirect
107. #63898C22semidirect
108. #63896C22semidirect
109. #63895C22semidirect
110. #63893C22semidirect
111. Dic3×D12C22semidirect
112. #63891C22semidirect
113. #63890C22semidirect
114. D3×C4⋊Dic3C22semidirect
115. #63886C22semidirect
116. #63886C22semidirect
117. #63885C22semidirect
118. #63885C22semidirect
119. #63885C22semidirect
120. #63885C22semidirect
121. #63881C22semidirect
122. #63879C22semidirect
123. #63878C22semidirect
124. D3×Dic3⋊C4C22semidirect
125. #63851C22semidirect
126. #63844C22semidirect
146. #5676D3semidirect
147. #5674D3semidirect
255. #3795D4semidirect
310. C2×#239C2×D3semidirect
311. C2×#239C2×D3semidirect
338. C2×D3×D4C2×D3semidirect
339. C2×D3×D4C2×D3semidirect
356. C3×#124C2×D3semidirect
357. C3×#124C2×D3semidirect
373. #947C2×D3semidirect
377. #946C2×D3semidirect
382. #940C2×D3semidirect
405. #938C2×D3semidirect
465. #884C2×D3semidirect
466. #884C2×D3semidirect
467. #884C2×D3semidirect
470. #883C2×D3semidirect
477. #882C2×D3semidirect
478. #882C2×D3semidirect
479. #882C2×D3semidirect
490. D3×C22⋊C4C2×D3semidirect
497. #874C2×D3semidirect
504. C4×D12C2×D3semidirect
505. C4×D12C2×D3semidirect
506. #872C2×D3semidirect
553. #634C2×D4semidirect
572. C3×D12C2×D4semidirect
578. C3×C4×D3C2×D4semidirect
593. #625C2×D4semidirect
601. D3×Dic3C2×D4semidirect
905. C2×C3⋊D3H(5,𝔽2)semidirect
976. #124D32semidirect
1215. D12D3×D4semidirect
1239. C4×D3D3×D4semidirect
1495. C32#3488semidirect
1665. C3#86331semidirect
1666. C3#86629semidirect

Maximal subgroups

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

subgroupindex
C2×#643192
C2×#643132
#105961482
C3×#56762
C3×#56742
#105954282
#105953982
#105953622
#105952932
D3×#9382
#105951642
#105942752
#105942742
#105942712
#105942692
#105942672
D3×#8842
#105941842
#105940602
#105940042
#105939972
#105939062
#105938872
#866293
#863313