Finite Group Databasebeta

← #11904702

Subgroups — #11904702

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×#64307C211yesmaximal, characteristic, complemented
3#10596104C211yesmaximal, characteristic, complemented
4C3×#5630C211yesmaximal, characteristic, complemented
5C3×#5629C211yesmaximal, characteristic, complemented
6#10595427C211yesmaximal, characteristic, complemented
7#10595426C211yesmaximal, characteristic, complemented
8#10595362C211yesmaximal, characteristic, complemented
9#10595069C211yesmaximal, characteristic, complemented
10#10595060C211yesmaximal, characteristic, complemented
11#10594919C211yesmaximal, characteristic, complemented
12#10594621C211yesmaximal, characteristic, complemented
13#10594618C212yesmaximal, complemented
14#10594617C212yesmaximal, complemented
15#10594615C212yesmaximal, complemented
16D3×#895C211yesmaximal, characteristic, complemented
17#10594527C211yesmaximal, characteristic, complemented
18#10594368C212yesmaximal, complemented
19#10594359C211yesmaximal, characteristic, complemented
20#10594275C212yesmaximal, complemented
21#10594273C212yesmaximal, complemented
22#10594269C212yesmaximal, complemented
23D3×#884C212yesmaximal, complemented
24#86629—31nomaximal
25#86379—31nomaximal
26C2×Q8×C3⋊D3C2211yescharacteristic, complemented
27C2×#3828C2211yescharacteristic, complemented
28C2×C3×#239C2211yescharacteristic, complemented
29C2×C3×#239C2211yescharacteristic, complemented
30C2×C3×#235C2211yescharacteristic, complemented
31C22×C3×D12C2211yescharacteristic, complemented
32C2×D3×#67C2212yescomplemented
33C2×D3×#67C2212yescomplemented
34C2×D3×#67C2212yescomplemented
35#64319—28no—
36#64307—28no—
37C2×#3802C2212yescomplemented
38C2×#3802C2212yescomplemented
39C2×#3802C2211yescharacteristic, complemented
40C2×D3×D12C2211yescharacteristic, complemented
41C2×D3×D12C2211yescharacteristic, complemented
42C2×D3×D12C2212yescomplemented
43C2×D3×D12C2212yescomplemented
44C2×C4×D32C2211yescharacteristic, complemented
45C2×C4×D32C2212yescomplemented
46C2×#3796C2212yescomplemented
47C2×#3795C2211yescharacteristic
48C2×#3795C2211yescharacteristic, complemented
49C2×#3795C2212yescomplemented
50C2×#3795C2212yescomplemented
51C2×#3795C2211yescharacteristic, complemented
52C32×C22⋊Q8C2211yescharacteristic, complemented
53#64156C2211yescharacteristic, complemented
54C4×#638C2211yescharacteristic, complemented
55#64105C2212yescomplemented
56#64104C2211yescharacteristic, complemented
57#64102C2212yescomplemented
58#64096C2211yescharacteristic, complemented
59#64094C2212yescomplemented
60#64093C2212yescomplemented
61C3×#947C2211yescharacteristic, complemented
62C3×#946C2211yescharacteristic, complemented
63C3×#930C2211yescharacteristic, complemented
64C3×C4×#67C2211yescharacteristic, complemented
65C3×#896C2212yescomplemented
66C3×#895C2211yescharacteristic, complemented
67C3×#895C2212yescomplemented
68C3×#895C2212yescomplemented
69C3×#895C2211yescharacteristic, complemented
70C3×#894C2212yescomplemented
71C3×#893C2211yescharacteristic, complemented
72C3×D3×C4⋊C4C2211yescharacteristic, complemented
73C3×#884C2212yescomplemented
74C3×#884C2212yescomplemented
75C3×#882C2212yescomplemented
76C3×D3×C22⋊C4C2212yescomplemented
77#63983C2211yescharacteristic, complemented
78#63979C2212yescomplemented
79#63976C2212yescomplemented
80#63971C2212yescomplemented
81#63970C2211yescharacteristic, complemented
82#63969C2211yescharacteristic, complemented
83#63958C2211yescharacteristic, complemented
84#63923C2212yescomplemented
85#63922C2212yescomplemented
86#63922C2212yescomplemented
87#63922C2212yescomplemented
88#63922C2211yescharacteristic, complemented
89#63922C2212yescomplemented
90#63922C2212yescomplemented
91D3×(C2×D3)⋊C4C2212yescomplemented
92D3×(C2×D3)⋊C4C2212yescomplemented
93#63916C2211yescharacteristic, complemented
94#63914C2212yescomplemented
95#63914C2211yescharacteristic, complemented
96#63913C2212yescomplemented
97#63912C2212yescomplemented
98#63912C2212yescomplemented
99#63911C2211yescharacteristic, complemented
100#63910C2212yescomplemented
101#63909C2211yescharacteristic, complemented
102#63906C2212yescomplemented
103#63906C2212yescomplemented
104#63906C2212yescomplemented
105C4×#626C2211yescharacteristic, complemented
106#63902C2212yescomplemented
107C4×#625C2212yescomplemented
108C4×#625C2211yescharacteristic, complemented
109#63898C2211yescharacteristic, complemented
110#63896C2212yescomplemented
111#63888C2211yescharacteristic, complemented
112#63887C2211yescharacteristic, complemented
113#63886C2212yescomplemented
114#63886C2212yescomplemented
115#63885C2212yescomplemented
116#63885C2212yescomplemented
117#63885C2212yescomplemented
118#63884C2211yescharacteristic, complemented
119#63881C2212yescomplemented
120#63881C2212yescomplemented
121#63879C2212yescomplemented
122#63878C2212yescomplemented
123D3×Dic3⋊C4C2212yescomplemented
124#63855C2211yescharacteristic, complemented
125#63850C2212yescomplemented
126#63844C2211yescharacteristic, complemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C2×D3×#41—31no—
130C2×#1004—31no—
131C3×#546—31no—
132C3×#537—31no—
133#5830—31no—
134#5829—31no—
135#5828—31no—
136D4×#67—31no—
137#5677—31no—
138#5674—31no—
139#5656—32no—
140#5654—32no—
141#5633—31no—
142#5633—31no—
143#5633—31no—
144#5633—61no—
145#5630—31no—
146#5630D311yescharacteristic, complemented
147#5629—32no—
148#5629D311yescharacteristic, complemented
149#5627—32no—
150#5610—32no—
151#5610—32no—
152#5609—31no—
153#5609—32no—
154#5609—32no—
155#5609—31no—
156#5609—32no—
157#5607—32no—
158D3×#121—31no—
159D3×#121—32no—
160#5599—31no—
161#5599—31no—
162#5599—31no—
163#5597—32no—
164#5592—32no—
165#5590—32no—
166#5553—31no—
167D4×D12—31no—
168#5547—31no—
169#5546—31no—
170C2×#895—31no—
171#5504—31no—
172#5490—32no—
173C2×#884—32no—
174C23×C3×D3C2312yes—
175C22×D32C2311yescharacteristic
176C22×D32C2312yes—
177C22×D32C2312yes—
178C22×D32C2312yes—
179C2×C32×Q8C2311yescharacteristic
180C22×C32×C4C2311yescharacteristic
181C2×#638C2311yescharacteristic
182C2×#638C2312yes—
183Q8×C3⋊D3—24no—
184#3828—24no—
185C2×C4⋊(C3⋊D3)C2312yes—
186C2×C4⋊(C3⋊D3)C2311yescharacteristic
187C2×C4×C3⋊D3C2312yes—
188C2×C4×C3⋊D3C2312yes—
189C2×C4×C3⋊D3C2311yescharacteristic
190C2×#634C2312yes—
191C2×#634C2311yescharacteristic
192C2×C3×#67C2311yescharacteristic
193C2×C3×#67C2311yescharacteristic
194C2×C3×#67C2311yescharacteristic
195C2×C3×#67C2312yes—
196C3×#239—24no—
197C3×#239—24no—
198C3×#235—24no—
199C2×C3×D12—24no—
200C2×C3×D12C2312yes—
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×D3C2312yes—
215C2×C3×C4×D3C2311yescharacteristic
216C2×C3×Dic6C2311yescharacteristic
217D3×#67—28no—
218D3×#67—28no—
219D3×#67—44no—
220C2×#626C2312yes—
221C2×#626C2312yes—
222C2×#626C2311yescharacteristic
223C2×#626C2312yes—
224C2×#626C2312yes—
225C2×#626C2312yes—
226C2×#626C2312yes—
227C2×#625C2312yes—
228C2×#625C2312yes—
229C2×#625C2312yes—
230C2×#625C2312yes—
231C2×#625C2311yescharacteristic
232C2×#625C2312yes—
233C2×#625C2312yes—
234C2×#624C2311yescharacteristic
235C2×D3×Dic3C2312yes—
236C2×D3×Dic3C2311yescharacteristic
237C2×D3×Dic3C2311yescharacteristic
238C2×D3×Dic3C2312yes—
239C2×D3×Dic3C2312yes—
240C2×D3×Dic3C2312yes—
241#3802—24no—
242#3802—28no—
243#3802—28no—
244D3×D12—24no—
245D3×D12—24no—
246D3×D12—44no—
247D3×D12—44no—
248C4×D32—24no—
249C4×D32—28no—
250#3796—28no—
251#3795—24no—
252#3795—24no—
253#3795—28no—
254#3795—28no—
255#3795D418yescomplemented
256C32×C4⋊C4C2311yescharacteristic
257C32×C4⋊C4C2312yes—
258C32×C22⋊C4C2312yes—
259#3757C2311yescharacteristic
260#3752C2312yes—
261#3752C2312yes—
262#3752C2312yes—
263#3752C2311yescharacteristic
264#3750C2312yes—
265#3750C2311yescharacteristic
266C4×C3⋊Dic3C2312yes—
267C4×C3⋊Dic3C2311yescharacteristic
268C3×#217C2311yescharacteristic
269C3×(C2×D3)⋊C4C2312yes—
270C3×(C2×D3)⋊C4C2312yes—
271C3×(C2×D3)⋊C4C2312yes—
272C3×(C2×D3)⋊C4C2312yes—
273C3×(C2×D3)⋊C4C2312yes—
274C3×(C2×D3)⋊C4C2312yes—
275C3×(C2×D3)⋊C4C2311yescharacteristic
276C3×(C2×D3)⋊C4C2312yes—
277C3×C4⋊Dic3C2311yescharacteristic
278C3×Dic3⋊C4C2312yes—
279C3×Dic3⋊C4C2312yes—
280C3×Dic3⋊C4C2311yescharacteristic
281C3×C4×Dic3C2311yescharacteristic
282#3724C2312yes—
283#3724C2311yescharacteristic
284Dic3⋊Dic3C2311yescharacteristic
285Dic3⋊Dic3C2311yescharacteristic
286Dic3⋊Dic3C2311yescharacteristic
287#3722C2312yes—
288#3722C2311yescharacteristic
289(C2×D3)⋊Dic3C2312yes—
290(C2×D3)⋊Dic3C2311yescharacteristic
291(C2×D3)⋊Dic3C2311yescharacteristic
292(C2×D3)⋊Dic3C2311yescharacteristic
293(C2×D3)⋊Dic3C2311yescharacteristic
294(C2×D3)⋊Dic3C2311yescharacteristic
295(C2×D3)⋊Dic3C2312yes—
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—32no—
309C2×#239C2×D311yescharacteristic, complemented
310C2×#239C2×D311yescharacteristic, complemented
311C2×D3×Q8—31no—
312C2×D3×Q8—31no—
313C2×D3×Q8—61no—
314#1004—68no—
315C2×#237—31no—
316C2×#237—31no—
317C2×#237—32no—
318C2×#237—31no—
319C2×#237—32no—
320C2×#237—32no—
321C2×D3×D4—32no—
322C2×D3×D4—32no—
323C2×D3×D4—32no—
324C2×D3×D4—32no—
325C2×D3×D4—31no—
326C2×D3×D4—32no—
327C2×D3×D4—32no—
328C2×D3×D4—31no—
329C2×D3×D4—32no—
330C2×D3×D4—31no—
331C2×D3×D4—31no—
332C2×D3×D4—32no—
333C2×D3×D4—32no—
334C2×#235—31no—
335C2×#235—31no—
336C2×#235—31no—
337C2×#235—31no—
338C2×#235—32no—
339C2×#235—31no—
340C2×#235—32no—
341C2×#235—61no—
342C2×#235C2×D311yescharacteristic, complemented
343C22×D12—31no—
344C22×D12—31no—
345C22×D12—32no—
346C22×D12—32no—
347C22×D12C2×D311yescharacteristic, complemented
348C22×C4×D3—32no—
349C22×C4×D3—31no—
350C22×C4×D3—31no—
351C22×C4×D3—32no—
352C3×#124—31no—
353C3×#123—32no—
354C3×C22⋊Q8—21no—
355C3×C22⋊Q8—31no—
356C3×C22⋊Q8—32no—
357C3×C22⋊Q8C2×D311yescharacteristic, complemented
358C3×C22⋊Q8C2×D311yescharacteristic, complemented
359C3×#121—31no—
360C3×#121—32no—
361C3×#121—31no—
362C3×#121—31no—
363C3×#121—32no—
364C3×#121—32no—
365C3×#121—32no—
366C3×#120—32no—
367C3×C4×D4—31no—
368C3×C4×D4—31no—
369C2×C3×C4⋊C4—31no—
370C2×C3×C22⋊C4—32no—
371#953—32no—
372#947—31no—
373#947—31no—
374#947—61no—
375#947C2×D311yescharacteristic, complemented
376#946—31no—
377#946—31no—
378#946C2×D311yescharacteristic, complemented
379#940—32no—
380#940—32no—
381#940—31no—
382#940—31no—
383#940—32no—
384#940—32no—
385#940—31no—
386#939—31no—
387#939—32no—
388#939—32no—
389#939—32no—
390#939—32no—
391#939—32no—
392#939—32no—
393#938—31no—
394#938—31no—
395#938—31no—
396#937—32no—
397#937—31no—
398#937—31no—
399#937—32no—
400#937—31no—
401#937—32no—
402#937—32no—
403#937—32no—
404#937—32no—
405#935—31no—
406#935—31no—
407D4×Dic3—31no—
408#930—32no—
409#930—32no—
410#930—32no—
411#930—31no—
412#930C2×D311yescharacteristic, complemented
413#929—32no—
414C4×#67—31no—
415C4×#67—31no—
416C4×#67—32no—
417C4×#67—32no—
418C4×#67—31no—
419C4×#67—31no—
420C4×#67—32no—
421C4×#67—31no—
422C4×#67—61no—
423C4×#67C2×D311yescharacteristic, complemented
424C2×(C2×D3)⋊C4—32no—
425C2×(C2×D3)⋊C4—32no—
426#926—31no—
427C2×Dic3⋊C4—32no—
428#896—31no—
429#896—32no—
430#896—32no—
431#896—32no—
432#896—62no—
433#896C2×D312yescomplemented
434#895—31no—
435#895—32no—
436#895—32no—
437#895—31no—
438#895—31no—
439#895—31no—
440#895—32no—
441#895—61no—
442#895C2×D312yescomplemented
443#895C2×D311yescharacteristic, complemented
444#895C2×D311yescharacteristic, complemented
445#895C2×D312yescomplemented
446#894—31no—
447#894—32no—
448#894C2×D312yescomplemented
449#893—31no—
450#893—32no—
451#893—32no—
452#893—32no—
453#893—32no—
454#893—62no—
455#893C2×D311yescharacteristic, complemented
456#892—32no—
457D3×C4⋊C4—32no—
458D3×C4⋊C4C2×D311yescharacteristic, complemented
459#887—31no—
460#887—31no—
461#887—31no—
462#887—61no—
463#885—32no—
464#885—32no—
465#885—32no—
466#885—32no—
467#885—62no—
468#884—31no—
469#884—32no—
470#884—32no—
471#884—32no—
472#884—32no—
473#884—32no—
474#884—32no—
475#884—32no—
476#884—32no—
477#884—32no—
478#884—32no—
479#884—32no—
480#884—32no—
481#884—32no—
482#884—32no—
483#884—62no—
484#884C2×D312yescomplemented
485#884C2×D312yescomplemented
486#883—31no—
487#882—32no—
488#882—32no—
489#882—32no—
490#882—31no—
491#882—32no—
492#882—32no—
493#882—32no—
494#882—32no—
495#882C2×D312yescomplemented
496#67⋊C4—32no—
497#67⋊C4—32no—
498#67⋊C4—32no—
499#67⋊C4—32no—
500#67⋊C4—32no—
501D3×C22⋊C4—32no—
502D3×C22⋊C4—32no—
503D3×C22⋊C4C2×D312yescomplemented
504#878—31no—
505#878—32no—
506#877—32no—
507#874—31no—
508C4×D12—31no—
509#872—31no—
510C4×Dic6—31no—
511C23×C32C2411yescharacteristic
512C22×C3⋊D3C2412yes—
513C22×C3⋊D3C2411yescharacteristic
514C22×C3×D3—24no—
515C22×C3×D3—42no—
516C22×C3×D3—42no—
517C22×C3×D3C2411yescharacteristic
518C22×C3×D3C2412yes—
519C22×C3×D3C2411yescharacteristic
520C22×C3×D3C2412yes—
521C22×C3×D3C2411yescharacteristic
522C22×C3×D3C2412yes—
523C2×D32—22no—
524C2×D32—24no—
525C2×D32—22no—
526C2×D32—24no—
527C2×D32—24no—
528C2×D32—24no—
529C2×D32—41no—
530C2×D32—42no—
531C2×D32—42no—
532C2×D32—42no—
533C2×D32—42no—
534C2×D32—42no—
535C32×Q8—22no—
536C2×C32×C4—22no—
537C2×C32×C4C2412yes—
538C2×C32×C4C2411yescharacteristic
539C2×C32×C4C2412yes—
540C2×C32×C4C2411yescharacteristic
541#638—22no—
542#638—24no—
543C2×C3⋊Dic3C2411yescharacteristic
544C2×C3⋊Dic3C2411yescharacteristic
545C2×C3⋊Dic3C2411yescharacteristic
546C2×C3⋊Dic3C2412yes—
547C4⋊(C3⋊D3)—24no—
548C4⋊(C3⋊D3)—22no—
549C4×C3⋊D3—22no—
550C4×C3⋊D3—24no—
551C4×C3⋊D3—24no—
552#634—24no—
553#634C2×D414yescomplemented
554C3×#67—22no—
555C3×#67—22no—
556C3×#67—42no—
557C3×#67—41no—
558C2×C3×Dic3C2411yescharacteristic
559C2×C3×Dic3C2412yes—
560C2×C3×Dic3C2411yescharacteristic
561C2×C3×Dic3C2411yescharacteristic
562C2×C3×Dic3C2411yescharacteristic
563C2×C3×Dic3C2411yescharacteristic
564C3×D12—24no—
565C3×D12—24no—
566C3×D12—24no—
567C3×D12—22no—
568C3×D12—22no—
569C3×D12—22no—
570C3×D12—42no—
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×D3—42no—
579C3×C4×D3C2×D414yescomplemented
580C3×Dic6—22no—
581#626—22no—
582#626—24no—
583#626—24no—
584#626—24no—
585#626—42no—
586#626—42no—
587#626—42no—
588#625—24no—
589#625—24no—
590#625—24no—
591#625—42no—
592#625—41no—
593#625—42no—
594#625C2×D418yescomplemented
595#624—22no—
596D3×Dic3—22no—
597D3×Dic3—24no—
598D3×Dic3—24no—
599D3×Dic3—22no—
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—31no—
617#537—92no—
618#535—92no—
619#535—91no—
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—31no—
629C23×D3—31no—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3—32no—
634C23×D3C22×D312yes—
635C3×#41—64no—
636C3×#41—64no—
637C3×#41—64no—
638C2×C3×Q8—21no—
639C2×C3×Q8—31no—
640C2×C3×Q8C22×D311yescharacteristic
641C2×C3×Q8C22×D311yescharacteristic
642C2×C3×D4—31no—
643C2×C3×D4—31no—
644C2×C3×D4—31no—
645C2×C3×D4—32no—
646C2×C3×D4—31no—
647C2×C3×D4—31no—
648C2×C3×D4—32no—
649C2×C3×D4—32no—
650C2×C3×D4—32no—
651C2×C3×D4—31no—
652C2×C3×D4—31no—
653C2×C3×D4—32no—
654C2×C3×D4—32no—
655C2×C3×D4—64no—
656C22×C3×C4—21no—
657C22×C3×C4—31no—
658C22×C3×C4—32no—
659C22×C3×C4—31no—
660C22×C3×C4—31no—
661C22×C3×C4—32no—
662C22×C3×C4—32no—
663C22×C3×C4—32no—
664C22×C3×C4C22×D311yescharacteristic
665C22×C3×C4C22×D311yescharacteristic
666C2×#67—32no—
667C2×#67—32no—
668C2×#67—31no—
669C2×#67—32no—
670C2×#67—31no—
671C2×#67—32no—
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—32no—
675C2×#67—32no—
676C2×#67—32no—
677C2×#67—32no—
678C2×#67—32no—
679C2×#67—32no—
680C2×#67—31no—
681C2×#67—32no—
682C2×#67—31no—
683C2×#67—32no—
684C2×#67—32no—
685C2×#67—32no—
686C2×#67—32no—
687C2×#67—31no—
688C2×#67—32no—
689C2×#67—32no—
690C2×#67—32no—
691C2×#67—61no—
692C2×#67—62no—
693C2×#67—68no—
694C2×#67—68no—
695C2×#67—124no—
696C2×#67C22×D311yescharacteristic
697C2×#67C22×D311yescharacteristic
698C2×#67C22×D311yescharacteristic
699C2×#67C22×D312yes—
700C22×Dic3—32no—
701C22×Dic3—32no—
702C22×Dic3—31no—
703C22×Dic3—32no—
704C22×Dic3—31no—
705C22×Dic3—32no—
706#239—24no—
707#239—24no—
708#239—68no—
709D3×Q8—64no—
710D3×Q8—64no—
711D3×Q8—124no—
712#237—38no—
713#237—68no—
714#237—64no—
715#237—64no—
716#237—68no—
717#237—68no—
718D3×D4—64no—
719D3×D4—68no—
720D3×D4—68no—
721D3×D4—68no—
722D3×D4—68no—
723D3×D4—68no—
724D3×D4—64no—
725D3×D4—68no—
726D3×D4—64no—
727D3×D4—64no—
728D3×D4—124no—
729D3×D4—124no—
730D3×D4—124no—
731#235—24no—
732#235—38no—
733#235—64no—
734#235—64no—
735#235—64no—
736#235—64no—
737#235—68no—
738#235—68no—
739#235—124no—
740C2×D12—24no—
741C2×D12—31no—
742C2×D12—32no—
743C2×D12—32no—
744C2×D12—32no—
745C2×D12—31no—
746C2×D12—32no—
747C2×D12—32no—
748C2×D12—31no—
749C2×D12—32no—
750C2×D12—32no—
751C2×D12—32no—
752C2×D12—62no—
753C2×D12—61no—
754C2×D12—64no—
755C2×D12—64no—
756C2×D12—124no—
757C2×D12—124no—
758C2×D12C22×D311yescharacteristic
759C2×D12C22×D312yes—
760C2×D12C22×D312yes—
761C2×D12C22×D312yes—
762C2×D12C22×D311yescharacteristic
763C2×D12C22×D311yescharacteristic
764C2×D12C22×D312yes—
765C2×D12C22×D312yes—
766C2×D12C22×D311yescharacteristic
767C2×C4×D3—32no—
768C2×C4×D3—31no—
769C2×C4×D3—32no—
770C2×C4×D3—32no—
771C2×C4×D3—31no—
772C2×C4×D3—31no—
773C2×C4×D3—32no—
774C2×C4×D3—32no—
775C2×C4×D3—32no—
776C2×C4×D3—32no—
777C2×C4×D3—31no—
778C2×C4×D3—31no—
779C2×C4×D3—31no—
780C2×C4×D3—32no—
781C2×C4×D3—62no—
782C2×C4×D3—62no—
783C2×C4×D3—61no—
784C2×C4×D3—68no—
785C2×C4×D3—68no—
786C2×C4×D3—64no—
787C2×C4×D3—64no—
788C2×C4×D3C22×D311yescharacteristic
789C2×C4×D3C22×D312yes—
790C2×C4×D3C22×D312yes—
791C2×C4×D3C22×D311yescharacteristic
792C2×C4×D3C22×D312yes—
793C2×C4×D3C22×D312yes—
794C2×C4×D3C22×D311yescharacteristic
795C2×Dic6—31no—
796C2×Dic6—31no—
797C2×Dic6—32no—
798C2×Dic6—32no—
799C2×Dic6—61no—
800C2×Dic6—62no—
801C2×Dic6C22×D311yescharacteristic
802C3×C4⋊C4—21no—
803C3×C4⋊C4—22no—
804C3×C4⋊C4—31no—
805C3×C4⋊C4—32no—
806C3×C4⋊C4—31no—
807C3×C4⋊C4—32no—
808C3×C4⋊C4C22×D311yescharacteristic
809C3×C4⋊C4C22×D311yescharacteristic
810C3×C4⋊C4C22×D312yes—
811C3×C4⋊C4C22×D312yes—
812C3×C22⋊C4—22no—
813C3×C22⋊C4—31no—
814C3×C22⋊C4—32no—
815C3×C22⋊C4—32no—
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⋊C4C22×D312yes—
823C3×C22⋊C4C22×D312yes—
824C3×C42—31no—
825#217—31no—
826#217—31no—
827#217—32no—
828#217—32no—
829#217—31no—
830#217—31no—
831#217—31no—
832#217—31no—
833#217—31no—
834#217—61no—
835#217C22×D311yescharacteristic
836(C2×D3)⋊C4—31no—
837(C2×D3)⋊C4—31no—
838(C2×D3)⋊C4—31no—
839(C2×D3)⋊C4—32no—
840(C2×D3)⋊C4—31no—
841(C2×D3)⋊C4—31no—
842(C2×D3)⋊C4—32no—
843(C2×D3)⋊C4—32no—
844(C2×D3)⋊C4—32no—
845(C2×D3)⋊C4—31no—
846(C2×D3)⋊C4—32no—
847(C2×D3)⋊C4—32no—
848(C2×D3)⋊C4—32no—
849(C2×D3)⋊C4—31no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—31no—
852(C2×D3)⋊C4—32no—
853(C2×D3)⋊C4—32no—
854(C2×D3)⋊C4—31no—
855(C2×D3)⋊C4—62no—
856(C2×D3)⋊C4—62no—
857(C2×D3)⋊C4—62no—
858(C2×D3)⋊C4—61no—
859(C2×D3)⋊C4C22×D312yes—
860(C2×D3)⋊C4C22×D312yes—
861(C2×D3)⋊C4C22×D312yes—
862(C2×D3)⋊C4C22×D312yes—
863(C2×D3)⋊C4C22×D312yes—
864(C2×D3)⋊C4C22×D311yescharacteristic
865(C2×D3)⋊C4C22×D312yes—
866(C2×D3)⋊C4C22×D312yes—
867C4⋊Dic3—31no—
868C4⋊Dic3—31no—
869C4⋊Dic3—31no—
870C4⋊Dic3C22×D311yescharacteristic
871Dic3⋊C4—31no—
872Dic3⋊C4—32no—
873Dic3⋊C4—32no—
874Dic3⋊C4—31no—
875Dic3⋊C4—32no—
876Dic3⋊C4—31no—
877Dic3⋊C4—31no—
878Dic3⋊C4—31no—
879Dic3⋊C4—31no—
880Dic3⋊C4—32no—
881Dic3⋊C4—31no—
882Dic3⋊C4—62no—
883Dic3⋊C4—61no—
884Dic3⋊C4C22×D312yes—
885Dic3⋊C4C22×D312yes—
886Dic3⋊C4C22×D311yescharacteristic
887C4×Dic3—31no—
888C4×Dic3—32no—
889C4×Dic3—32no—
890C4×Dic3—31no—
891C4×Dic3—32no—
892C4×Dic3—32no—
893C4×Dic3—62no—
894C4×Dic3—61no—
895C4×Dic3C22×D311yescharacteristic
896C22×C32—21no—
897C22×C32—21no—
898C22×C32—21no—
899C22×C32C2511yescharacteristic
900C2×C3⋊D3—21no—
901C2×C3⋊D3—21no—
902C2×C3⋊D3—22no—
903C2×C3⋊D3—22no—
904C2×C3⋊D3—22no—
905C2×C3⋊D3H(5,𝔽2)12yescomplemented
906C2×C3×D3—22no—
907C2×C3×D3—21no—
908C2×C3×D3—21no—
909C2×C3×D3—22no—
910C2×C3×D3—22no—
911C2×C3×D3—21no—
912C2×C3×D3—22no—
913C2×C3×D3—21no—
914C2×C3×D3—22no—
915C2×C3×D3—22no—
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—84no—
923C2×C3×D3C22×D412yes—
924C2×C3×D3C22×D414yes—
925D32—44no—
926D32—48no—
927D32—84no—
928D32—84no—
929C32×C4—21no—
930C32×C4—22no—
931C32×C4—22no—
932C32×C4C22×D412yes—
933C3⋊Dic3—21no—
934C3⋊Dic3—21no—
935C3⋊Dic3—21no—
936C3⋊Dic3C22×D414yes—
937C3×Dic3—21no—
938C3×Dic3—21no—
939C3×Dic3—22no—
940C3×Dic3—21no—
941C3×Dic3—21no—
942C3×Dic3C22×D412yes—
943H(5,𝔽2)—188no—
944C2×#41—31no—
945C2×#41—31no—
946C2×#41—31no—
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—91no—
958C22×D4—91no—
959C22×D4—92no—
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—91no—
970#127—92no—
971#127—91no—
972#127—92no—
973#124—31no—
974#124—92no—
975#124—91no—
976#124—92no—
977#123—32no—
978#123—91no—
979#123—92no—
980#123—91no—
981C22⋊Q8—31no—
982C22⋊Q8—32no—
983C22⋊Q8—92no—
984C22⋊Q8—91no—
985C22⋊Q8—91no—
986C22⋊Q8—92no—
987C22⋊Q8D3211yescharacteristic, complemented
988#121—31no—
989#121—31no—
990#121—32no—
991#121—31no—
992#121—32no—
993#121—32no—
994#121—32no—
995#121—92no—
996#121—92no—
997#121—92no—
998#121—92no—
999#121—92no—
1000#121—92no—
1001#121—91no—
1002#121—92no—
1003#121—92no—
1004#121—92no—
1005#121—92no—
1006#121—91no—
1007#121—92no—
1008#121—91no—
1009#121—92no—
1010#121—91no—
1011#121—91no—
1012#121—92no—
1013#120—32no—
1014#120—92no—
1015#120—91no—
1016#120—92no—
1017#120—92no—
1018#120—92no—
1019#120—92no—
1020#120—92no—
1021#120—91no—
1022#120—92no—
1023C4×Q8—91no—
1024C4×Q8—91no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—91no—
1028C4×D4—92no—
1029C4×D4—92no—
1030C4×D4—92no—
1031C4×D4—92no—
1032C4×D4—91no—
1033C4×D4—92no—
1034C4×D4—91no—
1035C4×D4—91no—
1036C4×D4—92no—
1037#117—91no—
1038#117—92no—
1039C2×C4⋊C4—31no—
1040C2×C4⋊C4—92no—
1041C2×C22⋊C4—32no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C23×C3—21no—
1045C23×C3—31no—
1046C23×C3—32no—
1047C23×C3—31no—
1048C23×C3—32no—
1049C23×C3—31no—
1050C23×C3—32no—
1051C23×C3—64no—
1052C23×C3—122no—
1053C23×C3—122no—
1054C23×C3C23×D311yescharacteristic
1055C23×C3C23×D311yescharacteristic
1056C22×D3—24no—
1057C22×D3—31no—
1058C22×D3—31no—
1059C22×D3—32no—
1060C22×D3—32no—
1061C22×D3—42no—
1062C22×D3—42no—
1063C22×D3—61no—
1064C22×D3—62no—
1065C22×D3—62no—
1066C22×D3—64no—
1067C22×D3—62no—
1068C22×D3—64no—
1069C22×D3—64no—
1070C22×D3—62no—
1071C22×D3—64no—
1072C22×D3—64no—
1073C22×D3—64no—
1074C22×D3—62no—
1075C22×D3—64no—
1076C22×D3—64no—
1077C22×D3—122no—
1078C22×D3—121no—
1079C22×D3—121no—
1080C22×D3—122no—
1081C22×D3—122no—
1082C22×D3—122no—
1083C22×D3—122no—
1084C22×D3—122no—
1085C22×D3—122no—
1086C22×D3—122no—
1087C22×D3—122no—
1088C22×D3—122no—
1089C22×D3C23×D311yescharacteristic
1090C22×D3C23×D312yes—
1091C22×D3C23×D311yescharacteristic
1092C22×D3C23×D312yes—
1093C22×D3C23×D311yescharacteristic
1094C22×D3C23×D312yes—
1095C3×Q8—22no—
1096C3×Q8—22no—
1097C3×Q8—42no—
1098C3×Q8—62no—
1099C3×D4—34no—
1100C3×D4—62no—
1101C3×D4—64no—
1102C3×D4—64no—
1103C3×D4—64no—
1104C3×D4—62no—
1105C3×D4—62no—
1106C3×D4—62no—
1107C3×D4—62no—
1108C3×D4—122no—
1109C3×D4—122no—
1110C3×D4—122no—
1111C3×D4—121no—
1112C2×C3×C4—22no—
1113C2×C3×C4—22no—
1114C2×C3×C4—21no—
1115C2×C3×C4—22no—
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—42no—
1126C2×C3×C4—64no—
1127C2×C3×C4—64no—
1128C2×C3×C4—62no—
1129C2×C3×C4—62no—
1130C2×C3×C4—122no—
1131C2×C3×C4—122no—
1132C2×C3×C4C23×D312yes—
1133C2×C3×C4C23×D312yes—
1134C2×C3×C4C23×D311yescharacteristic
1135C2×C3×C4C23×D311yescharacteristic
1136C2×C3×C4C23×D312yes—
1137C2×C3×C4C23×D312yes—
1138C2×C3×C4C23×D311yescharacteristic
1139C2×C3×C4C23×D311yescharacteristic
1140#67—22no—
1141#67—22no—
1142#67—38no—
1143#67—38no—
1144#67—42no—
1145#67—41no—
1146#67—62no—
1147#67—64no—
1148#67—64no—
1149#67—64no—
1150#67—64no—
1151#67—64no—
1152#67—64no—
1153#67—64no—
1154#67—64no—
1155#67—64no—
1156#67—62no—
1157#67—62no—
1158#67—64no—
1159#67—64no—
1160#67—124no—
1161#67—122no—
1162#67—122no—
1163#67—122no—
1164#67—122no—
1165#67—122no—
1166#67—121no—
1167#67—122no—
1168#67—122no—
1169#67—121no—
1170#67—122no—
1171C2×Dic3—32no—
1172C2×Dic3—32no—
1173C2×Dic3—38no—
1174C2×Dic3—31no—
1175C2×Dic3—31no—
1176C2×Dic3—31no—
1177C2×Dic3—31no—
1178C2×Dic3—31no—
1179C2×Dic3—31no—
1180C2×Dic3—62no—
1181C2×Dic3—61no—
1182C2×Dic3—61no—
1183C2×Dic3—61no—
1184C2×Dic3—64no—
1185C2×Dic3—64no—
1186C2×Dic3—62no—
1187C2×Dic3—62no—
1188C2×Dic3—122no—
1189C2×Dic3C23×D311yescharacteristic
1190C2×Dic3C23×D312yes—
1191C2×Dic3C23×D311yescharacteristic
1192C2×Dic3C23×D311yescharacteristic
1193C2×Dic3C23×D311yescharacteristic
1194C2×Dic3C23×D311yescharacteristic
1195D12—24no—
1196D12—22no—
1197D12—24no—
1198D12—24no—
1199D12—22no—
1200D12—22no—
1201D12—42no—
1202D12—42no—
1203D12—64no—
1204D12—64no—
1205D12—64no—
1206D12—62no—
1207D12—64no—
1208D12—64no—
1209D12—62no—
1210D12—62no—
1211D12—122no—
1212D12—124no—
1213D12—122no—
1214D12—122no—
1215D12—122no—
1216D12D3×D414yescomplemented
1217C4×D3—24no—
1218C4×D3—22no—
1219C4×D3—22no—
1220C4×D3—24no—
1221C4×D3—38no—
1222C4×D3—42no—
1223C4×D3—42no—
1224C4×D3—62no—
1225C4×D3—64no—
1226C4×D3—64no—
1227C4×D3—64no—
1228C4×D3—64no—
1229C4×D3—64no—
1230C4×D3—64no—
1231C4×D3—62no—
1232C4×D3—62no—
1233C4×D3—62no—
1234C4×D3—62no—
1235C4×D3—62no—
1236C4×D3—124no—
1237C4×D3—124no—
1238C4×D3—122no—
1239C4×D3—122no—
1240C4×D3D3×D414yescomplemented
1241Dic6—22no—
1242Dic6—34no—
1243Dic6—34no—
1244Dic6—64no—
1245Dic6—64no—
1246Dic6—64no—
1247Dic6—124no—
1248C2×C32—41no—
1249C2×C32C23×D411yescharacteristic
1250C2×C32C2×H(5,𝔽2)11yescharacteristic
1251C2×C32#58511yescharacteristic
1252C3⋊D3—22no—
1253C3⋊D3—42no—
1254C3×D3—22no—
1255C3×D3—24no—
1256C3×D3—41no—
1257C3×D3—42no—
1258C3×D3—41no—
1259C3×D3—42no—
1260C24—32no—
1261C24—92no—
1262C24—91no—
1263C24—92no—
1264C24—92no—
1265#41—64no—
1266#41—64no—
1267#41—64no—
1268#41—98no—
1269#41—184no—
1270#41—188no—
1271#41—188no—
1272#41—184no—
1273#41—184no—
1274#41—188no—
1275C2×Q8—31no—
1276C2×Q8—91no—
1277C2×Q8—92no—
1278C2×Q8—184no—
1279C2×Q8C2×D3211yescharacteristic
1280C2×D4—31no—
1281C2×D4—31no—
1282C2×D4—31no—
1283C2×D4—32no—
1284C2×D4—31no—
1285C2×D4—32no—
1286C2×D4—32no—
1287C2×D4—31no—
1288C2×D4—32no—
1289C2×D4—31no—
1290C2×D4—31no—
1291C2×D4—32no—
1292C2×D4—32no—
1293C2×D4—64no—
1294C2×D4—91no—
1295C2×D4—92no—
1296C2×D4—92no—
1297C2×D4—92no—
1298C2×D4—92no—
1299C2×D4—92no—
1300C2×D4—92no—
1301C2×D4—92no—
1302C2×D4—92no—
1303C2×D4—92no—
1304C2×D4—92no—
1305C2×D4—91no—
1306C2×D4—92no—
1307C2×D4—92no—
1308C2×D4—91no—
1309C2×D4—92no—
1310C2×D4—92no—
1311C2×D4—91no—
1312C2×D4—184no—
1313C2×D4—184no—
1314C2×D4—188no—
1315C2×D4—184no—
1316C2×D4—188no—
1317C2×D4—188no—
1318C2×D4—188no—
1319C2×D4—364no—
1320C2×D4—364no—
1321C2×D4—364no—
1322C22×C4—31no—
1323C22×C4—32no—
1324C22×C4—31no—
1325C22×C4—31no—
1326C22×C4—32no—
1327C22×C4—32no—
1328C22×C4—32no—
1329C22×C4—91no—
1330C22×C4—92no—
1331C22×C4—91no—
1332C22×C4—92no—
1333C22×C4—92no—
1334C22×C4—91no—
1335C22×C4—92no—
1336C22×C4—92no—
1337C22×C4—91no—
1338C22×C4—92no—
1339C22×C4—184no—
1340C22×C4—188no—
1341C22×C4C2×D3211yescharacteristic
1342C4⋊C4—32no—
1343C4⋊C4—31no—
1344C4⋊C4—31no—
1345C4⋊C4—32no—
1346C4⋊C4—91no—
1347C4⋊C4—92no—
1348C4⋊C4—91no—
1349C4⋊C4—91no—
1350C4⋊C4—91no—
1351C4⋊C4—92no—
1352C4⋊C4—91no—
1353C4⋊C4C2×D3211yescharacteristic
1354C4⋊C4C2×D3212yes—
1355C22⋊C4—31no—
1356C22⋊C4—32no—
1357C22⋊C4—32no—
1358C22⋊C4—32no—
1359C22⋊C4—32no—
1360C22⋊C4—31no—
1361C22⋊C4—32no—
1362C22⋊C4—32no—
1363C22⋊C4—32no—
1364C22⋊C4—92no—
1365C22⋊C4—91no—
1366C22⋊C4—91no—
1367C22⋊C4—92no—
1368C22⋊C4—91no—
1369C22⋊C4—91no—
1370C22⋊C4—92no—
1371C22⋊C4—91no—
1372C22⋊C4—91no—
1373C22⋊C4—91no—
1374C22⋊C4—92no—
1375C22⋊C4—92no—
1376C22⋊C4—91no—
1377C22⋊C4—92no—
1378C22⋊C4C2×D3212yes—
1379C42—31no—
1380C42—92no—
1381C42—92no—
1382C42—91no—
1383C22×C3—21no—
1384C22×C3—21no—
1385C22×C3—21no—
1386C22×C3—21no—
1387C22×C3—21no—
1388C22×C3—21no—
1389C22×C3—21no—
1390C22×C3—34no—
1391C22×C3—32no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—61no—
1396C22×C3—62no—
1397C22×C3—61no—
1398C22×C3—62no—
1399C22×C3—62no—
1400C22×C3—61no—
1401C22×C3—62no—
1402C22×C3—61no—
1403C22×C3—62no—
1404C22×C3—61no—
1405C22×C3—62no—
1406C22×C3—61no—
1407C22×C3—62no—
1408C22×C3—61no—
1409C22×C3—61no—
1410C22×C3—62no—
1411C22×C3—244no—
1412C22×C3C24×D311yescharacteristic
1413C22×C3C24×D311yescharacteristic
1414C2×D3—22no—
1415C2×D3—21no—
1416C2×D3—22no—
1417C2×D3—21no—
1418C2×D3—21no—
1419C2×D3—22no—
1420C2×D3—21no—
1421C2×D3—22no—
1422C2×D3—21no—
1423C2×D3—22no—
1424C2×D3—21no—
1425C2×D3—21no—
1426C2×D3—22no—
1427C2×D3—22no—
1428C2×D3—22no—
1429C2×D3—21no—
1430C2×D3—32no—
1431C2×D3—32no—
1432C2×D3—62no—
1433C2×D3—61no—
1434C2×D3—61no—
1435C2×D3—61no—
1436C2×D3—61no—
1437C2×D3—62no—
1438C2×D3—62no—
1439C2×D3—62no—
1440C2×D3—62no—
1441C2×D3—62no—
1442C2×D3—62no—
1443C2×D3—84no—
1444C2×D3—121no—
1445C2×D3—121no—
1446C2×D3—122no—
1447C2×D3—122no—
1448C2×D3—122no—
1449C2×D3—128no—
1450C2×D3—124no—
1451C2×D3—124no—
1452C2×D3—128no—
1453C2×D3—244no—
1454C2×D3—244no—
1455C2×D3—244no—
1456C2×D3—244no—
1457C2×D3C2×D3×D414yes—
1458C2×D3C2×D3×D412yes—
1459C3×C4—21no—
1460C3×C4—22no—
1461C3×C4—22no—
1462C3×C4—21no—
1463C3×C4—22no—
1464C3×C4—22no—
1465C3×C4—22no—
1466C3×C4—32no—
1467C3×C4—42no—
1468C3×C4—41no—
1469C3×C4—42no—
1470C3×C4—61no—
1471C3×C4—61no—
1472C3×C4—62no—
1473C3×C4—61no—
1474C3×C4—61no—
1475C3×C4C2×D3×D412yes—
1476C3×C4C2×D3×D412yes—
1477Dic3—21no—
1478Dic3—21no—
1479Dic3—21no—
1480Dic3—21no—
1481Dic3—22no—
1482Dic3—34no—
1483Dic3—34no—
1484Dic3—64no—
1485Dic3—61no—
1486Dic3—61no—
1487Dic3—61no—
1488Dic3—61no—
1489Dic3—61no—
1490Dic3—61no—
1491Dic3—121no—
1492Dic3—121no—
1493Dic3—121no—
1494Dic3C2×D3×D412yes—
1495C32#348811yescharacteristic, complemented, Sylow
1496C23—32no—
1497C23—31no—
1498C23—32no—
1499C23—31no—
1500C23—32no—
1501C23—31no—
1502C23—64no—
1503C23—91no—
1504C23—92no—
1505C23—122no—
1506C23—122no—
1507C23—182no—
1508C23—184no—
1509C23—184no—
1510C23—184no—
1511C23—182no—
1512C23—184no—
1513C23—362no—
1514C23—361no—
1515C23—362no—
1516C23—362no—
1517C23—362no—
1518C23—362no—
1519C23C22×D3211yescharacteristic
1520Q8—22no—
1521Q8—62no—
1522Q8—94no—
1523Q8—184no—
1524D4—34no—
1525D4—64no—
1526D4—62no—
1527D4—64no—
1528D4—64no—
1529D4—62no—
1530D4—62no—
1531D4—62no—
1532D4—62no—
1533D4—98no—
1534D4—122no—
1535D4—122no—
1536D4—122no—
1537D4—121no—
1538D4—184no—
1539D4—184no—
1540D4—184no—
1541D4—182no—
1542D4—184no—
1543D4—184no—
1544D4—184no—
1545D4—184no—
1546D4—182no—
1547D4—184no—
1548D4—182no—
1549D4—362no—
1550D4—362no—
1551D4—362no—
1552D4—362no—
1553D4—361no—
1554D4—362no—
1555C2×C4—22no—
1556C2×C4—31no—
1557C2×C4—34no—
1558C2×C4—31no—
1559C2×C4—31no—
1560C2×C4—32no—
1561C2×C4—31no—
1562C2×C4—31no—
1563C2×C4—64no—
1564C2×C4—64no—
1565C2×C4—62no—
1566C2×C4—62no—
1567C2×C4—98no—
1568C2×C4—92no—
1569C2×C4—91no—
1570C2×C4—91no—
1571C2×C4—91no—
1572C2×C4—122no—
1573C2×C4—122no—
1574C2×C4—184no—
1575C2×C4—184no—
1576C2×C4—182no—
1577C2×C4—182no—
1578C2×C4—184no—
1579C2×C4—184no—
1580C2×C4—182no—
1581C2×C4—182no—
1582C2×C4—362no—
1583C2×C4C22×D3212yes—
1584C2×C4C22×D3212yes—
1585C2×C4C22×D3211yescharacteristic
1586C2×C4C22×D3211yescharacteristic
1587C2×C3—21no—
1588C2×C3—21no—
1589C2×C3—21no—
1590C2×C3—41no—
1591C2×C3—41no—
1592C2×C3—62no—
1593C2×C3—64no—
1594C2×C3—81no—
1595C2×C3—122no—
1596C2×C3—121no—
1597C2×C3—121no—
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#596811yescharacteristic
1605D3—24no—
1606D3—22no—
1607D3—42no—
1608D3—41no—
1609D3—42no—
1610D3—41no—
1611D3—62no—
1612D3—62no—
1613D3—122no—
1614D3—122no—
1615D3—122no—
1616D3—242no—
1617C22—21no—
1618C22—21no—
1619C22—21no—
1620C22—32no—
1621C22—34no—
1622C22—62no—
1623C22—61no—
1624C22—61no—
1625C22—62no—
1626C22—62no—
1627C22—61no—
1628C22—61no—
1629C22—62no—
1630C22—61no—
1631C22—62no—
1632C22—62no—
1633C22—61no—
1634C22—61no—
1635C22—61no—
1636C22—62no—
1637C22—62no—
1638C22—92no—
1639C22—181no—
1640C22—181no—
1641C22—182no—
1642C22—182no—
1643C22—182no—
1644C22—244no—
1645C22—368no—
1646C22—364no—
1647C22—724no—
1648C22—724no—
1649C22C23×D3211yescharacteristic
1650C4—21no—
1651C4—22no—
1652C4—22no—
1653C4—32no—
1654C4—61no—
1655C4—61no—
1656C4—61no—
1657C4—61no—
1658C4—62no—
1659C4—94no—
1660C4—181no—
1661C4—181no—
1662C4—181no—
1663C4D32×D412yes—
1664C3—21no—
1665C3#8637911yescharacteristic, complemented
1666C3#8662911yescharacteristic, complemented
1667C2—41no—
1668C2—64no—
1669C2—62no—
1670C2—122no—
1671C2—121no—
1672C2—122no—
1673C2—121no—
1674C2—182no—
1675C2—362no—
1676C2C2×D32×D411yescharacteristic
1677C2#1059668811yescharacteristic
1678C2#1059669211yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C22⋊Q8C22
hypercenterC22⋊Q8D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×#64319C2semidirect
2. C2×#64307C2semidirect
3. #10596104C2semidirect
4. C3×#5630C2semidirect
5. C3×#5629C2semidirect
6. #10595427C2semidirect
7. #10595426C2semidirect
8. #10595362C2semidirect
9. #10595069C2semidirect
10. #10595060C2semidirect
11. #10594919C2semidirect
12. #10594621C2semidirect
13. #10594618C2semidirect
14. #10594617C2semidirect
15. #10594615C2semidirect
16. D3×#895C2semidirect
17. #10594527C2semidirect
18. #10594368C2semidirect
19. #10594359C2semidirect
20. #10594275C2semidirect
21. #10594273C2semidirect
22. #10594269C2semidirect
23. D3×#884C2semidirect
26. C2×Q8×C3⋊D3C22semidirect
27. C2×#3828C22semidirect
28. C2×C3×#239C22semidirect
29. C2×C3×#239C22semidirect
30. C2×C3×#235C22semidirect
31. C22×C3×D12C22semidirect
32. C2×D3×#67C22semidirect
33. C2×D3×#67C22semidirect
34. C2×D3×#67C22semidirect
37. C2×#3802C22semidirect
38. C2×#3802C22semidirect
39. C2×#3802C22semidirect
40. C2×D3×D12C22semidirect
41. C2×D3×D12C22semidirect
42. C2×D3×D12C22semidirect
43. C2×D3×D12C22semidirect
44. C2×C4×D32C22semidirect
45. C2×C4×D32C22semidirect
46. C2×#3796C22semidirect
48. C2×#3795C22semidirect
49. C2×#3795C22semidirect
50. C2×#3795C22semidirect
51. C2×#3795C22semidirect
52. C32×C22⋊Q8C22semidirect
53. #64156C22semidirect
54. C4×#638C22semidirect
55. #64105C22semidirect
56. #64104C22semidirect
57. #64102C22semidirect
58. #64096C22semidirect
59. #64094C22semidirect
60. #64093C22semidirect
61. C3×#947C22semidirect
62. C3×#946C22semidirect
63. C3×#930C22semidirect
64. C3×C4×#67C22semidirect
65. C3×#896C22semidirect
66. C3×#895C22semidirect
67. C3×#895C22semidirect
68. C3×#895C22semidirect
69. C3×#895C22semidirect
70. C3×#894C22semidirect
71. C3×#893C22semidirect
72. C3×D3×C4⋊C4C22semidirect
73. C3×#884C22semidirect
74. C3×#884C22semidirect
75. C3×#882C22semidirect
76. C3×D3×C22⋊C4C22semidirect
77. #63983C22semidirect
78. #63979C22semidirect
79. #63976C22semidirect
80. #63971C22semidirect
81. #63970C22semidirect
82. #63969C22semidirect
83. #63958C22semidirect
84. #63923C22semidirect
85. #63922C22semidirect
86. #63922C22semidirect
87. #63922C22semidirect
88. #63922C22semidirect
89. #63922C22semidirect
90. #63922C22semidirect
91. D3×(C2×D3)⋊C4C22semidirect
92. D3×(C2×D3)⋊C4C22semidirect
93. #63916C22semidirect
94. #63914C22semidirect
95. #63914C22semidirect
96. #63913C22semidirect
97. #63912C22semidirect
98. #63912C22semidirect
99. #63911C22semidirect
100. #63910C22semidirect
101. #63909C22semidirect
102. #63906C22semidirect
103. #63906C22semidirect
104. #63906C22semidirect
105. C4×#626C22semidirect
106. #63902C22semidirect
107. C4×#625C22semidirect
108. C4×#625C22semidirect
109. #63898C22semidirect
110. #63896C22semidirect
111. #63888C22semidirect
112. #63887C22semidirect
113. #63886C22semidirect
114. #63886C22semidirect
115. #63885C22semidirect
116. #63885C22semidirect
117. #63885C22semidirect
118. #63884C22semidirect
119. #63881C22semidirect
120. #63881C22semidirect
121. #63879C22semidirect
122. #63878C22semidirect
123. D3×Dic3⋊C4C22semidirect
124. #63855C22semidirect
125. #63850C22semidirect
126. #63844C22semidirect
146. #5630D3semidirect
148. #5629D3semidirect
255. #3795D4semidirect
309. C2×#239C2×D3semidirect
310. C2×#239C2×D3semidirect
342. C2×#235C2×D3semidirect
347. C22×D12C2×D3semidirect
357. C3×C22⋊Q8C2×D3semidirect
358. C3×C22⋊Q8C2×D3semidirect
375. #947C2×D3semidirect
378. #946C2×D3semidirect
412. #930C2×D3semidirect
423. C4×#67C2×D3semidirect
433. #896C2×D3semidirect
442. #895C2×D3semidirect
443. #895C2×D3semidirect
444. #895C2×D3semidirect
445. #895C2×D3semidirect
448. #894C2×D3semidirect
455. #893C2×D3semidirect
458. D3×C4⋊C4C2×D3semidirect
484. #884C2×D3semidirect
485. #884C2×D3semidirect
495. #882C2×D3semidirect
503. D3×C22⋊C4C2×D3semidirect
553. #634C2×D4semidirect
572. C3×D12C2×D4semidirect
579. C3×C4×D3C2×D4semidirect
594. #625C2×D4semidirect
601. D3×Dic3C2×D4semidirect
905. C2×C3⋊D3H(5,𝔽2)semidirect
987. C22⋊Q8D32semidirect
1216. D12D3×D4semidirect
1240. C4×D3D3×D4semidirect
1495. C32#3488semidirect
1665. C3#86379semidirect
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×#643072
#105961042
C3×#56302
C3×#56292
#105954272
#105954262
#105953622
#105950692
#105950602
#105949192
#105946212
#105946182
#105946172
#105946152
D3×#8952
#105945272
#105943682
#105943592
#105942752
#105942732
#105942692
D3×#8842
#866293
#863793