Finite Group Databasebeta

← #11904684

Subgroups — #11904684

Order 1152.

3529 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64314C211yesmaximal, characteristic, complemented
2C2×#64306C211yesmaximal, characteristic, complemented
3C3⋊D3×#121C211yesmaximal, characteristic, complemented
4C3×#5612C211yesmaximal, characteristic, complemented
5C3×#5599C211yesmaximal, characteristic, complemented
6#10595297C212yesmaximal, complemented
7#10595293C211yesmaximal, characteristic, complemented
8#10595292C212yesmaximal, complemented
9#10595286C212yesmaximal, complemented
10#10595237C211yesmaximal, characteristic, complemented
11#10595168C211yesmaximal, characteristic, complemented
12#10595132C212yesmaximal, complemented
13#10595067C211yesmaximal, characteristic, complemented
14#10595016C211yesmaximal, characteristic, complemented
15#10595007C211yesmaximal, characteristic, complemented
16#10594621C211yesmaximal, characteristic, complemented
17#10594528C211yesmaximal, characteristic, complemented
18#10594361C211yesmaximal, characteristic, complemented
19#10594329C211yesmaximal, characteristic, complemented
20#10594279C212yesmaximal, complemented
21#10594266C212yesmaximal, complemented
22D3×#884C212yesmaximal, complemented
23#10594186C212yesmaximal, complemented
24#86769—31nomaximal
25#86629—31nomaximal
26C2×D4×C3⋊D3C2211yescharacteristic, complemented
27C2×D4×C3⋊D3C2212yescomplemented
28C22×C4×C3⋊D3C2211yescharacteristic, complemented
29C2×C3×#237C2211yescharacteristic, complemented
30C2×C3×D3×D4C2211yescharacteristic, complemented
31C2×C3×#235C2211yescharacteristic, complemented
32C2×C3×#235C2211yescharacteristic, complemented
33C2×#3811C2212yescomplemented
34C2×#3811C2212yescomplemented
35C2×D3×#67C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C22×#626C2212yescomplemented
38C2×#3805C2212yescomplemented
39C2×#3804C2212yescomplemented
40#64314—28no—
41#64306—28no—
42C2×#3802C2211yescharacteristic, complemented
43C2×D3×D12C2211yescharacteristic, complemented
44C2×D3×D12C2212yescomplemented
45C2×C4×D32C2212yescomplemented
46C2×#3799C2211yescharacteristic, complemented
47C2×#3798C2212yescomplemented
48C2×#3798C2211yescharacteristic, complemented
49C2×#3797C2211yescharacteristic, complemented
50C2×#3796C2211yescharacteristic
51C2×#3796C2211yescharacteristic, complemented
52C32×#121C2211yescharacteristic, complemented
53#64148C2212yescomplemented
54#64147C2211yescharacteristic, complemented
55#64139C2211yescharacteristic, complemented
56#64104C2211yescharacteristic, complemented
57C4⋊C4×C3⋊D3C2211yescharacteristic, complemented
58#64093C2212yescomplemented
59C22⋊C4×C3⋊D3C2212yescomplemented
60C3×#940C2211yescharacteristic, complemented
61C3×#940C2212yescomplemented
62C3×#939C2212yescomplemented
63C3×#938C2212yescomplemented
64C3×#937C2212yescomplemented
65C3×#936C2211yescharacteristic, complemented
66C3×C4×#67C2211yescharacteristic, complemented
67C3×C4×#67C2211yescharacteristic, complemented
68C3×#897C2211yescharacteristic, complemented
69C3×#895C2211yescharacteristic, complemented
70C3×#893C2211yescharacteristic, complemented
71C3×#887C2211yescharacteristic, complemented
72C3×#884C2212yescomplemented
73C3×#883C2212yescomplemented
74C3×#67⋊C4C2212yescomplemented
75C3×D3×C22⋊C4C2212yescomplemented
76#63983C2212yescomplemented
77#63983C2212yescomplemented
78#63982C2211yescharacteristic, complemented
79#63981C2212yescomplemented
80#63981C2212yescomplemented
81#63981C2211yescharacteristic, complemented
82#63981C2211yescharacteristic, complemented
83#63980C2211yescharacteristic, complemented
84#63979C2212yescomplemented
85#63976C2212yescomplemented
86#63971C2212yescomplemented
87#63971C2212yescomplemented
88#63971C2212yescomplemented
89#63970C2212yescomplemented
90#63964C2212yescomplemented
91#63959C2212yescomplemented
92#63958C2212yescomplemented
93#63958C2212yescomplemented
94#63952C2212yescomplemented
95#63923C2212yescomplemented
96#63922C2212yescomplemented
97D3×(C2×D3)⋊C4C2212yescomplemented
98#63916C2212yescomplemented
99#63912C2212yescomplemented
100#63912C2211yescharacteristic, complemented
101#63911C2211yescharacteristic, complemented
102#63910C2212yescomplemented
103#63908C2211yescharacteristic, complemented
104#63906C2212yescomplemented
105#63906C2212yescomplemented
106#63904C2212yescomplemented
107C4×#626C2211yescharacteristic, complemented
108C4×#626C2212yescomplemented
109C4×#626C2211yescharacteristic, complemented
110#63899C2212yescomplemented
111#63895C2212yescomplemented
112#63894C2212yescomplemented
113Dic3×D12C2211yescharacteristic, complemented
114#63885C2212yescomplemented
115#63881C2212yescomplemented
116#63877C2212yescomplemented
117D3×Dic3⋊C4C2212yescomplemented
118#63874C2211yescharacteristic, complemented
119#63865C2211yescharacteristic, complemented
120#63864C2211yescharacteristic, complemented
121#63856C2211yescharacteristic, complemented
122#63853C2211yescharacteristic, complemented
123#63853C2211yescharacteristic, complemented
124#63852C2212yescomplemented
125#63850C2212yescomplemented
126Dic3×Dic6C2211yescharacteristic, complemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C2×D3×#41—31no—
130C2×#1004—31no—
131C3×#550—31no—
132C3×#546—31no—
133#5834—31no—
134#5831—31no—
135#5829—31no—
136D4×#67—31no—
137#5717—31no—
138#5717—32no—
139#5715—32no—
140#5715—31no—
141#5677—31no—
142#5674—31no—
143#5656—32no—
144#5654—32no—
145#5633—31no—
146#5629—31no—
147#5612—32no—
148#5612D311yescharacteristic, complemented
149#5609—32no—
150#5609—32no—
151#5609—31no—
152#5608—32no—
153#5608—31no—
154D3×#121—31no—
155D3×#121—31no—
156D3×#121—32no—
157D3×#121—61no—
158#5599D311yescharacteristic, complemented
159#5597—32no—
160#5592—32no—
161#5590—32no—
162#5576—31no—
163#5574—31no—
164#5553—31no—
165#5550—31no—
166#5550—32no—
167D4×D12—31no—
168#5547—31no—
169#5547—31no—
170#5547—32no—
171#5546—31no—
172#5490—32no—
173C2×#884—32no—
174C23×C3⋊D3C2311yescharacteristic
175C23×C3⋊D3C2312yes—
176C23×C3×D3C2312yes—
177C22×D32C2312yes—
178C22×D32C2312yes—
179C2×C32×D4C2311yescharacteristic
180C2×C32×D4C2312yes—
181C22×C32×C4C2311yescharacteristic
182C2×#638C2312yes—
183C2×#638C2312yes—
184C2×#638C2312yes—
185C22×C3⋊Dic3C2311yescharacteristic
186D4×C3⋊D3—24no—
187D4×C3⋊D3—44no—
188C2×C4⋊(C3⋊D3)C2311yescharacteristic
189C2×C4⋊(C3⋊D3)C2312yes—
190C2×C4×C3⋊D3—24no—
191C2×C4×C3⋊D3C2311yescharacteristic
192C2×C4×C3⋊D3C2311yescharacteristic
193C2×C4×C3⋊D3C2311yescharacteristic
194C2×C4×C3⋊D3C2312yes—
195C2×C4×C3⋊D3C2311yescharacteristic
196C2×C3×#67C2312yes—
197C2×C3×#67C2312yes—
198C2×C3×#67C2312yes—
199C2×C3×#67C2312yes—
200C2×C3×#67C2312yes—
201C2×C3×#67C2312yes—
202C2×C3×#67C2311yescharacteristic
203C2×C3×#67C2311yescharacteristic
204C22×C3×Dic3C2312yes—
205C3×#237—24no—
206C3×D3×D4—24no—
207C3×#235—24no—
208C3×#235—24no—
209C2×C3×D12C2311yescharacteristic
210C2×C3×D12C2312yes—
211C2×C3×D12C2311yescharacteristic
212C2×C3×C4×D3C2312yes—
213C2×C3×C4×D3C2312yes—
214C2×C3×C4×D3C2311yescharacteristic
215C2×C3×C4×D3C2311yescharacteristic
216C2×C3×C4×D3C2312yes—
217C2×C3×Dic6C2311yescharacteristic
218C2×C3×Dic6C2311yescharacteristic
219#3811—28no—
220#3811—28no—
221D3×#67—28no—
222D3×#67—44no—
223C2×#627C2312yes—
224C2×#627C2311yescharacteristic
225C2×#626—28no—
226C2×#626C2312yes—
227C2×#626C2311yescharacteristic
228C2×#626C2311yescharacteristic
229C2×#626C2312yes—
230C2×#626C2311yescharacteristic
231C2×#626C2312yes—
232C2×#626C2311yescharacteristic
233C2×#626C2312yes—
234C2×#626C2312yes—
235C2×#626C2312yes—
236C2×#625C2312yes—
237C2×#625C2311yescharacteristic
238C2×#625C2312yes—
239C2×#624C2312yes—
240C2×#624C2312yes—
241#3805—28no—
242#3804—28no—
243C2×D3×Dic3C2312yes—
244C2×D3×Dic3C2312yes—
245C2×D3×Dic3C2312yes—
246#3802—24no—
247D3×D12—24no—
248D3×D12—44no—
249C4×D32—28no—
250#3799—24no—
251#3798—24no—
252#3798—28no—
253#3797—24no—
254#3796—24no—
255#3796D418yescomplemented
256C32×C4⋊C4C2311yescharacteristic
257C32×C22⋊C4C2312yes—
258#3757C2312yes—
259#3752C2312yes—
260#3752C2312yes—
261C4⋊(C3⋊Dic3)C2311yescharacteristic
262#3750C2312yes—
263C3×#217C2312yes—
264C3×#217C2312yes—
265C3×#217C2311yescharacteristic
266C3×#217C2311yescharacteristic
267C3×(C2×D3)⋊C4C2311yescharacteristic
268C3×(C2×D3)⋊C4C2312yes—
269C3×(C2×D3)⋊C4C2312yes—
270C3×(C2×D3)⋊C4C2312yes—
271C3×(C2×D3)⋊C4C2311yescharacteristic
272C3×C4⋊Dic3C2312yes—
273C3×Dic3⋊C4C2311yescharacteristic
274C3×Dic3⋊C4C2311yescharacteristic
275C3×Dic3⋊C4C2312yes—
276C3×C4×Dic3C2312yes—
277C3×C4×Dic3C2311yescharacteristic
278C3×C4×Dic3C2311yescharacteristic
279#3724C2312yes—
280#3724C2311yescharacteristic
281#3724C2311yescharacteristic
282Dic3⋊Dic3C2312yes—
283Dic3⋊Dic3C2311yescharacteristic
284Dic3⋊Dic3C2311yescharacteristic
285#3722C2312yes—
286#3722C2311yescharacteristic
287#3722C2311yescharacteristic
288#3722C2312yes—
289#3722C2311yescharacteristic
290#3722C2311yescharacteristic
291(C2×D3)⋊Dic3C2312yes—
292(C2×D3)⋊Dic3C2311yescharacteristic
293(C2×D3)⋊Dic3C2311yescharacteristic
294(C2×D3)⋊Dic3C2312yes—
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—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×#237—31no—
319C2×#237C2×D311yescharacteristic, complemented
320C2×D3×D4—32no—
321C2×D3×D4—31no—
322C2×D3×D4—31no—
323C2×D3×D4—32no—
324C2×D3×D4—32no—
325C2×D3×D4—32no—
326C2×D3×D4—32no—
327C2×D3×D4—32no—
328C2×D3×D4—32no—
329C2×D3×D4—32no—
330C2×D3×D4—31no—
331C2×D3×D4—31no—
332C2×D3×D4—31no—
333C2×D3×D4—32no—
334C2×D3×D4—61no—
335C2×D3×D4—62no—
336C2×D3×D4C2×D311yescharacteristic, complemented
337C2×#235—32no—
338C2×#235—32no—
339C2×#235—31no—
340C2×#235—32no—
341C2×#235—31no—
342C2×#235—31no—
343C2×#235C2×D311yescharacteristic, complemented
344C2×#235C2×D311yescharacteristic, complemented
345C22×D12—32no—
346C22×D12—31no—
347C22×D12—32no—
348C22×C4×D3—31no—
349C22×C4×D3—31no—
350C22×C4×D3—32no—
351C22×C4×D3—32no—
352C22×C4×D3—61no—
353C3×#127—32no—
354C3×#127—31no—
355C3×#124—31no—
356C3×#123—32no—
357C3×C22⋊Q8—31no—
358C3×#121—21no—
359C3×#121—32no—
360C3×#121—32no—
361C3×#121—31no—
362C3×#121—32no—
363C3×#121C2×D311yescharacteristic, complemented
364C3×#121C2×D311yescharacteristic, complemented
365C3×#120—32no—
366C3×C4×Q8—31no—
367C3×C4×D4—31no—
368C3×C4×D4—31no—
369C3×C4×D4—31no—
370C3×C4×D4—32no—
371C2×C3×C22⋊C4—32no—
372#953—32no—
373#947—31no—
374#946—31no—
375Q8×Dic3—31no—
376#940—32no—
377#940—32no—
378#940—31no—
379#940C2×D311yescharacteristic, complemented
380#940C2×D312yescomplemented
381#939—32no—
382#939—32no—
383#939—32no—
384#939—31no—
385#939—31no—
386#939—32no—
387#939—32no—
388#939—32no—
389#939—32no—
390#939—62no—
391#939C2×D312yescomplemented
392#938—31no—
393#938—31no—
394#938—32no—
395#938—31no—
396#938—32no—
397#938—32no—
398#938—32no—
399#938—61no—
400#938C2×D312yescomplemented
401#937—32no—
402#937—32no—
403#937—32no—
404#937—32no—
405#937—32no—
406#937—32no—
407#937—32no—
408#937—31no—
409#937—31no—
410#937—32no—
411#937C2×D312yescomplemented
412#936—32no—
413#936C2×D311yescharacteristic, complemented
414D4×Dic3—31no—
415#930—31no—
416#930—31no—
417#930—31no—
418#930—32no—
419#930—32no—
420#930—61no—
421#929—32no—
422C4×#67—32no—
423C4×#67—32no—
424C4×#67—31no—
425C4×#67—32no—
426C4×#67—31no—
427C4×#67C2×D311yescharacteristic, complemented
428C4×#67C2×D311yescharacteristic, complemented
429C2×(C2×D3)⋊C4—32no—
430#924—31no—
431#924—32no—
432C2×Dic3⋊C4—32no—
433#897—32no—
434#897C2×D311yescharacteristic, complemented
435#896—32no—
436#896—32no—
437#896—31no—
438#896—31no—
439#895—32no—
440#895—31no—
441#895—31no—
442#895—32no—
443#895—61no—
444#895C2×D311yescharacteristic, complemented
445#894—32no—
446#894—31no—
447#894—31no—
448#893—32no—
449#893—32no—
450#893—32no—
451#893C2×D311yescharacteristic, complemented
452D3×C4⋊C4—32no—
453D3×C4⋊C4—31no—
454D3×C4⋊C4—31no—
455D3×C4⋊C4—61no—
456#887C2×D311yescharacteristic, complemented
457#885—32no—
458#885—32no—
459#884—32no—
460#884—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#884—32no—
471#884—31no—
472#884—32no—
473#884—32no—
474#884—62no—
475#884C2×D312yescomplemented
476#883—31no—
477#883—31no—
478#883C2×D312yescomplemented
479#882—32no—
480#882—32no—
481#882—31no—
482#882—31no—
483#882—32no—
484#882—32no—
485#882—32no—
486#67⋊C4—32no—
487#67⋊C4—32no—
488#67⋊C4C2×D312yescomplemented
489D3×C22⋊C4—32no—
490D3×C22⋊C4—32no—
491D3×C22⋊C4—32no—
492D3×C22⋊C4—62no—
493D3×C22⋊C4C2×D312yescomplemented
494#878—32no—
495#878—31no—
496#878—31no—
497#878—32no—
498#877—32no—
499#875—31no—
500#875—32no—
501#874—31no—
502C4×D12—31no—
503C4×D12—31no—
504C4×D12—31no—
505C4×D12—32no—
506C4×D12—32no—
507#872—32no—
508#872—31no—
509#872—31no—
510C4×Dic6—31no—
511C23×C32C2412yes—
512C23×C32C2411yescharacteristic
513C22×C3⋊D3—22no—
514C22×C3⋊D3—22no—
515C22×C3⋊D3—24no—
516C22×C3⋊D3—41no—
517C22×C3⋊D3—42no—
518C22×C3⋊D3—42no—
519C22×C3⋊D3C2412yes—
520C22×C3⋊D3C2411yescharacteristic
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×D3C2412yes—
529C2×D32—24no—
530C2×D32—24no—
531C2×D32—24no—
532C2×D32—42no—
533C2×D32—42no—
534C2×D32—42no—
535C32×D4—22no—
536C32×D4—42no—
537C2×C32×C4—22no—
538C2×C32×C4C2412yes—
539C2×C32×C4C2411yescharacteristic
540C2×C32×C4C2411yescharacteristic
541#638—24no—
542#638—24no—
543#638—42no—
544C2×C3⋊Dic3—22no—
545C2×C3⋊Dic3C2412yes—
546C2×C3⋊Dic3C2411yescharacteristic
547C2×C3⋊Dic3C2411yescharacteristic
548C4⋊(C3⋊D3)—24no—
549C4⋊(C3⋊D3)—22no—
550C4×C3⋊D3—22no—
551C4×C3⋊D3—22no—
552C4×C3⋊D3—22no—
553C4×C3⋊D3—42no—
554C4×C3⋊D3C2×D414yescomplemented
555C3×#67—24no—
556C3×#67—24no—
557C3×#67—24no—
558C3×#67—24no—
559C3×#67—42no—
560C3×#67—41no—
561C3×#67—42no—
562C3×#67—41no—
563C2×C3×Dic3—24no—
564C2×C3×Dic3C2411yescharacteristic
565C2×C3×Dic3C2411yescharacteristic
566C2×C3×Dic3C2411yescharacteristic
567C2×C3×Dic3C2412yes—
568C2×C3×Dic3C2411yescharacteristic
569C2×C3×Dic3C2411yescharacteristic
570C2×C3×Dic3C2411yescharacteristic
571C2×C3×Dic3C2412yes—
572C3×D12—22no—
573C3×D12—42no—
574C3×D12C2×D414yescomplemented
575C3×C4×D3—24no—
576C3×C4×D3—22no—
577C3×C4×D3—22no—
578C3×C4×D3—24no—
579C3×C4×D3—42no—
580C3×Dic6—22no—
581C3×Dic6C2×D414yescomplemented
582#627—22no—
583#627—24no—
584#626—24no—
585#626—22no—
586#626—22no—
587#626—22no—
588#626—22no—
589#626—24no—
590#626—24no—
591#626—42no—
592#626—42no—
593#626C2×D418yescomplemented
594#625—24no—
595#625—22no—
596#625—42no—
597#624—24no—
598#624—24no—
599D3×Dic3—24no—
600D3×Dic3—42no—
601D3×Dic3C2×D418yescomplemented
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—31no—
605#550—91no—
606#548—91no—
607#548—91no—
608#546—31no—
609#546—92no—
610#546—91no—
611#546—92no—
612D42—91no—
613D42—92no—
614D42—92no—
615D42—91no—
616#537—92no—
617#537—91no—
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—31no—
627C23×D3—31no—
628C23×D3—32no—
629C23×D3—32no—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3—32no—
634C23×D3—61no—
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—22no—
644C2×C3×D4—32no—
645C2×C3×D4—32no—
646C2×C3×D4—32no—
647C2×C3×D4—32no—
648C2×C3×D4—31no—
649C2×C3×D4—32no—
650C2×C3×D4—32no—
651C2×C3×D4—31no—
652C2×C3×D4—31no—
653C2×C3×D4—31no—
654C2×C3×D4—32no—
655C2×C3×D4—64no—
656C2×C3×D4C22×D311yescharacteristic
657C2×C3×D4C22×D311yescharacteristic
658C2×C3×D4C22×D312yes—
659C2×C3×D4C22×D312yes—
660C22×C3×C4—21no—
661C22×C3×C4—32no—
662C22×C3×C4—31no—
663C22×C3×C4—32no—
664C22×C3×C4—32no—
665C22×C3×C4—31no—
666C22×C3×C4—32no—
667C22×C3×C4C22×D311yescharacteristic
668C22×C3×C4C22×D311yescharacteristic
669C2×#67—32no—
670C2×#67—32no—
671C2×#67—32no—
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—31no—
675C2×#67—32no—
676C2×#67—31no—
677C2×#67—32no—
678C2×#67—32no—
679C2×#67—32no—
680C2×#67—32no—
681C2×#67—32no—
682C2×#67—32no—
683C2×#67—31no—
684C2×#67—31no—
685C2×#67—31no—
686C2×#67—32no—
687C2×#67—31no—
688C2×#67—32no—
689C2×#67—32no—
690C2×#67—32no—
691C2×#67—62no—
692C2×#67—62no—
693C2×#67—62no—
694C2×#67—68no—
695C2×#67—68no—
696C2×#67—124no—
697C2×#67C22×D312yes—
698C2×#67C22×D312yes—
699C2×#67C22×D312yes—
700C2×#67C22×D312yes—
701C2×#67C22×D312yes—
702C2×#67C22×D312yes—
703C2×#67C22×D311yescharacteristic
704C2×#67C22×D311yescharacteristic
705C22×Dic3—32no—
706C22×Dic3—31no—
707C22×Dic3—31no—
708C22×Dic3—32no—
709C22×Dic3—32no—
710C22×Dic3—61no—
711C22×Dic3C22×D312yes—
712#239—38no—
713#239—64no—
714#239—64no—
715D3×Q8—64no—
716D3×Q8—64no—
717#237—24no—
718#237—38no—
719#237—64no—
720#237—68no—
721#237—68no—
722#237—68no—
723D3×D4—24no—
724D3×D4—64no—
725D3×D4—64no—
726D3×D4—64no—
727D3×D4—68no—
728D3×D4—64no—
729D3×D4—68no—
730D3×D4—68no—
731D3×D4—68no—
732D3×D4—68no—
733D3×D4—64no—
734D3×D4—124no—
735D3×D4—124no—
736D3×D4—124no—
737D3×D4—124no—
738D3×D4—124no—
739D3×D4—128no—
740#235—24no—
741#235—24no—
742#235—64no—
743#235—64no—
744#235—68no—
745#235—68no—
746#235—68no—
747#235—64no—
748C2×D12—32no—
749C2×D12—31no—
750C2×D12—31no—
751C2×D12—32no—
752C2×D12—32no—
753C2×D12—31no—
754C2×D12—32no—
755C2×D12—31no—
756C2×D12—32no—
757C2×D12—31no—
758C2×D12—31no—
759C2×D12—32no—
760C2×D12—32no—
761C2×D12—32no—
762C2×D12—62no—
763C2×D12—61no—
764C2×D12—68no—
765C2×D12—64no—
766C2×D12—124no—
767C2×D12C22×D311yescharacteristic
768C2×D12C22×D312yes—
769C2×D12C22×D311yescharacteristic
770C2×C4×D3—32no—
771C2×C4×D3—31no—
772C2×C4×D3—31no—
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—32no—
785C2×C4×D3—32no—
786C2×C4×D3—32no—
787C2×C4×D3—61no—
788C2×C4×D3—61no—
789C2×C4×D3—62no—
790C2×C4×D3—61no—
791C2×C4×D3—61no—
792C2×C4×D3—68no—
793C2×C4×D3—68no—
794C2×C4×D3—64no—
795C2×C4×D3—64no—
796C2×C4×D3—124no—
797C2×C4×D3C22×D311yescharacteristic
798C2×C4×D3C22×D311yescharacteristic
799C2×C4×D3C22×D312yes—
800C2×C4×D3C22×D312yes—
801C2×C4×D3C22×D312yes—
802C2×Dic6—32no—
803C2×Dic6—31no—
804C2×Dic6—32no—
805C2×Dic6—31no—
806C2×Dic6C22×D311yescharacteristic
807C2×Dic6C22×D311yescharacteristic
808C3×C4⋊C4—21no—
809C3×C4⋊C4—32no—
810C3×C4⋊C4—31no—
811C3×C4⋊C4—32no—
812C3×C4⋊C4—31no—
813C3×C4⋊C4C22×D311yescharacteristic
814C3×C4⋊C4C22×D311yescharacteristic
815C3×C22⋊C4—22no—
816C3×C22⋊C4—32no—
817C3×C22⋊C4—31no—
818C3×C22⋊C4—31no—
819C3×C22⋊C4—32no—
820C3×C22⋊C4—32no—
821C3×C22⋊C4—32no—
822C3×C22⋊C4—31no—
823C3×C22⋊C4—31no—
824C3×C22⋊C4—32no—
825C3×C22⋊C4C22×D312yes—
826C3×C22⋊C4C22×D312yes—
827C3×C42—31no—
828C3×C42—32no—
829C3×C42—31no—
830#217—32no—
831#217—32no—
832#217—32no—
833#217—32no—
834#217—32no—
835#217—31no—
836#217—31no—
837#217—62no—
838#217C22×D311yescharacteristic
839#217C22×D311yescharacteristic
840#217C22×D312yes—
841#217C22×D312yes—
842(C2×D3)⋊C4—32no—
843(C2×D3)⋊C4—31no—
844(C2×D3)⋊C4—31no—
845(C2×D3)⋊C4—32no—
846(C2×D3)⋊C4—32no—
847(C2×D3)⋊C4—32no—
848(C2×D3)⋊C4—32no—
849(C2×D3)⋊C4—32no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—31no—
852(C2×D3)⋊C4—31no—
853(C2×D3)⋊C4—31no—
854(C2×D3)⋊C4—31no—
855(C2×D3)⋊C4—31no—
856(C2×D3)⋊C4—32no—
857(C2×D3)⋊C4—31no—
858(C2×D3)⋊C4—32no—
859(C2×D3)⋊C4—31no—
860(C2×D3)⋊C4—32no—
861(C2×D3)⋊C4—32no—
862(C2×D3)⋊C4—31no—
863(C2×D3)⋊C4—62no—
864(C2×D3)⋊C4—62no—
865(C2×D3)⋊C4C22×D312yes—
866(C2×D3)⋊C4C22×D312yes—
867(C2×D3)⋊C4C22×D311yescharacteristic
868(C2×D3)⋊C4C22×D312yes—
869(C2×D3)⋊C4C22×D311yescharacteristic
870C4⋊Dic3—31no—
871C4⋊Dic3—31no—
872C4⋊Dic3—31no—
873C4⋊Dic3—31no—
874C4⋊Dic3—32no—
875C4⋊Dic3—61no—
876C4⋊Dic3C22×D312yes—
877Dic3⋊C4—32no—
878Dic3⋊C4—32no—
879Dic3⋊C4—32no—
880Dic3⋊C4—31no—
881Dic3⋊C4—31no—
882Dic3⋊C4—31no—
883Dic3⋊C4—31no—
884Dic3⋊C4—32no—
885Dic3⋊C4—31no—
886Dic3⋊C4—32no—
887Dic3⋊C4—31no—
888Dic3⋊C4—62no—
889Dic3⋊C4C22×D312yes—
890Dic3⋊C4C22×D311yescharacteristic
891Dic3⋊C4C22×D311yescharacteristic
892C4×Dic3—32no—
893C4×Dic3—32no—
894C4×Dic3C22×D311yescharacteristic
895C4×Dic3C22×D311yescharacteristic
896C4×Dic3C22×D312yes—
897C22×C32—21no—
898C22×C32—22no—
899C22×C32—21no—
900C22×C32—22no—
901C22×C32—21no—
902C22×C32—22no—
903C22×C32C2511yescharacteristic
904C2×C3⋊D3—21no—
905C2×C3⋊D3—21no—
906C2×C3⋊D3—21no—
907C2×C3⋊D3—21no—
908C2×C3⋊D3—22no—
909C2×C3⋊D3—22no—
910C2×C3⋊D3—22no—
911C2×C3⋊D3—44no—
912C2×C3⋊D3—84no—
913C2×C3⋊D3C22×D412yes—
914C2×C3⋊D3H(5,𝔽2)12yescomplemented
915C2×C3×D3—22no—
916C2×C3×D3—22no—
917C2×C3×D3—22no—
918C2×C3×D3—21no—
919C2×C3×D3—21no—
920C2×C3×D3—21no—
921C2×C3×D3—22no—
922C2×C3×D3—21no—
923C2×C3×D3—22no—
924C2×C3×D3—21no—
925C2×C3×D3—21no—
926C2×C3×D3—84no—
927C2×C3×D3C22×D414yes—
928D32—48no—
929D32—84no—
930C32×C4—21no—
931C32×C4—22no—
932C32×C4C22×D412yes—
933C3⋊Dic3—21no—
934C3⋊Dic3—22no—
935C3⋊Dic3C22×D412yes—
936C3×Dic3—22no—
937C3×Dic3—21no—
938C3×Dic3—21no—
939C3×Dic3—21no—
940C3×Dic3—21no—
941C3×Dic3—21no—
942C3×Dic3—21no—
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—91no—
952C2×#41—92no—
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—91no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—92no—
966C22×D4—91no—
967C22×D4—92no—
968C23×C4—92no—
969C23×C4—91no—
970#127—32no—
971#127—31no—
972#127—91no—
973#127—92no—
974#124—31no—
975#124—92no—
976#124—91no—
977#124—92no—
978#123—32no—
979#123—91no—
980#123—91no—
981#123—92no—
982C22⋊Q8—31no—
983C22⋊Q8—91no—
984C22⋊Q8—92no—
985C22⋊Q8—92no—
986C22⋊Q8—91no—
987C22⋊Q8—92no—
988C22⋊Q8—91no—
989#121—32no—
990#121—32no—
991#121—31no—
992#121—32no—
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—92no—
1002#121—92no—
1003#121—92no—
1004#121—92no—
1005#121—91no—
1006#121—91no—
1007#121—92no—
1008#121—92no—
1009#121—91no—
1010#121—91no—
1011#121—91no—
1012#121—92no—
1013#121D3211yescharacteristic, complemented
1014#120—32no—
1015#120—92no—
1016#120—91no—
1017#120—91no—
1018#120—92no—
1019#120—92no—
1020#120—92no—
1021#120—92no—
1022#120—92no—
1023#120—92no—
1024C4×Q8—31no—
1025C4×Q8—91no—
1026C4×D4—31no—
1027C4×D4—31no—
1028C4×D4—31no—
1029C4×D4—32no—
1030C4×D4—92no—
1031C4×D4—92no—
1032C4×D4—91no—
1033C4×D4—91no—
1034C4×D4—91no—
1035C4×D4—92no—
1036C4×D4—92no—
1037C4×D4—92no—
1038#117—91no—
1039#117—92no—
1040C2×C4⋊C4—92no—
1041C2×C4⋊C4—91no—
1042C2×C22⋊C4—32no—
1043C2×C22⋊C4—92no—
1044C2×C22⋊C4—92no—
1045C23×C3—21no—
1046C23×C3—22no—
1047C23×C3—32no—
1048C23×C3—31no—
1049C23×C3—31no—
1050C23×C3—32no—
1051C23×C3—64no—
1052C23×C3—122no—
1053C23×C3—122no—
1054C23×C3C23×D312yes—
1055C23×C3C23×D312yes—
1056C23×C3C23×D311yescharacteristic
1057C23×C3C23×D311yescharacteristic
1058C22×D3—24no—
1059C22×D3—31no—
1060C22×D3—31no—
1061C22×D3—31no—
1062C22×D3—31no—
1063C22×D3—32no—
1064C22×D3—32no—
1065C22×D3—42no—
1066C22×D3—42no—
1067C22×D3—61no—
1068C22×D3—61no—
1069C22×D3—62no—
1070C22×D3—64no—
1071C22×D3—64no—
1072C22×D3—64no—
1073C22×D3—64no—
1074C22×D3—62no—
1075C22×D3—62no—
1076C22×D3—62no—
1077C22×D3—62no—
1078C22×D3—64no—
1079C22×D3—64no—
1080C22×D3—64no—
1081C22×D3—64no—
1082C22×D3—64no—
1083C22×D3—122no—
1084C22×D3—124no—
1085C22×D3—122no—
1086C22×D3—122no—
1087C22×D3—122no—
1088C22×D3—122no—
1089C22×D3—122no—
1090C22×D3—122no—
1091C22×D3—121no—
1092C22×D3—121no—
1093C22×D3—122no—
1094C22×D3—122no—
1095C22×D3—122no—
1096C22×D3—122no—
1097C22×D3—122no—
1098C22×D3—124no—
1099C22×D3—124no—
1100C22×D3C23×D311yescharacteristic
1101C22×D3C23×D311yescharacteristic
1102C22×D3C23×D312yes—
1103C22×D3C23×D312yes—
1104C3×Q8—34no—
1105C3×Q8—62no—
1106C3×D4—22no—
1107C3×D4—22no—
1108C3×D4—34no—
1109C3×D4—42no—
1110C3×D4—42no—
1111C3×D4—42no—
1112C3×D4—44no—
1113C3×D4—64no—
1114C3×D4—64no—
1115C3×D4—64no—
1116C3×D4—64no—
1117C3×D4—62no—
1118C3×D4—122no—
1119C3×D4—122no—
1120C3×D4—121no—
1121C3×D4—121no—
1122C3×D4—122no—
1123C2×C3×C4—22no—
1124C2×C3×C4—22no—
1125C2×C3×C4—21no—
1126C2×C3×C4—22no—
1127C2×C3×C4—21no—
1128C2×C3×C4—32no—
1129C2×C3×C4—31no—
1130C2×C3×C4—31no—
1131C2×C3×C4—31no—
1132C2×C3×C4—31no—
1133C2×C3×C4—31no—
1134C2×C3×C4—32no—
1135C2×C3×C4—31no—
1136C2×C3×C4—42no—
1137C2×C3×C4—64no—
1138C2×C3×C4—64no—
1139C2×C3×C4—64no—
1140C2×C3×C4—62no—
1141C2×C3×C4—62no—
1142C2×C3×C4—122no—
1143C2×C3×C4C23×D312yes—
1144C2×C3×C4C23×D312yes—
1145C2×C3×C4C23×D311yescharacteristic
1146C2×C3×C4C23×D311yescharacteristic
1147C2×C3×C4C23×D311yescharacteristic
1148C2×C3×C4C23×D311yescharacteristic
1149#67—24no—
1150#67—24no—
1151#67—24no—
1152#67—24no—
1153#67—38no—
1154#67—42no—
1155#67—42no—
1156#67—41no—
1157#67—41no—
1158#67—62no—
1159#67—64no—
1160#67—62no—
1161#67—62no—
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—64no—
1173#67—124no—
1174#67—124no—
1175#67—122no—
1176#67—122no—
1177#67—122no—
1178#67—122no—
1179#67—122no—
1180#67—122no—
1181#67—124no—
1182C2×Dic3—24no—
1183C2×Dic3—31no—
1184C2×Dic3—31no—
1185C2×Dic3—38no—
1186C2×Dic3—32no—
1187C2×Dic3—32no—
1188C2×Dic3—31no—
1189C2×Dic3—31no—
1190C2×Dic3—61no—
1191C2×Dic3—62no—
1192C2×Dic3—61no—
1193C2×Dic3—64no—
1194C2×Dic3—62no—
1195C2×Dic3—62no—
1196C2×Dic3—122no—
1197C2×Dic3—122no—
1198C2×Dic3C23×D311yescharacteristic
1199C2×Dic3C23×D311yescharacteristic
1200C2×Dic3C23×D311yescharacteristic
1201C2×Dic3C23×D311yescharacteristic
1202C2×Dic3C23×D311yescharacteristic
1203C2×Dic3C23×D312yes—
1204C2×Dic3C23×D311yescharacteristic
1205C2×Dic3C23×D312yes—
1206D12—22no—
1207D12—38no—
1208D12—42no—
1209D12—64no—
1210D12—64no—
1211D12—64no—
1212D12—62no—
1213D12—62no—
1214D12—62no—
1215D12—64no—
1216D12—62no—
1217D12—64no—
1218D12—62no—
1219D12—62no—
1220D12—122no—
1221D12—124no—
1222D12—122no—
1223D12—122no—
1224D12D3×D414yescomplemented
1225C4×D3—24no—
1226C4×D3—22no—
1227C4×D3—22no—
1228C4×D3—24no—
1229C4×D3—38no—
1230C4×D3—34no—
1231C4×D3—34no—
1232C4×D3—42no—
1233C4×D3—64no—
1234C4×D3—64no—
1235C4×D3—64no—
1236C4×D3—62no—
1237C4×D3—62no—
1238C4×D3—64no—
1239C4×D3—62no—
1240C4×D3—62no—
1241C4×D3—62no—
1242C4×D3—62no—
1243C4×D3—64no—
1244C4×D3—64no—
1245C4×D3—122no—
1246C4×D3—122no—
1247C4×D3—122no—
1248C4×D3—122no—
1249C4×D3—122no—
1250C4×D3—122no—
1251C4×D3—124no—
1252Dic6—22no—
1253Dic6—62no—
1254Dic6—62no—
1255Dic6—64no—
1256Dic6—64no—
1257Dic6D3×D414yescomplemented
1258C2×C32—41no—
1259C2×C32—42no—
1260C2×C32C23×D411yescharacteristic
1261C2×C32C2×H(5,𝔽2)11yescharacteristic
1262C2×C32#58511yescharacteristic
1263C3⋊D3—22no—
1264C3⋊D3—22no—
1265C3⋊D3—42no—
1266C3×D3—24no—
1267C3×D3—42no—
1268C3×D3—41no—
1269C3×D3—41no—
1270C24—32no—
1271C24—92no—
1272C24—92no—
1273C24—91no—
1274C24—92no—
1275#41—64no—
1276#41—64no—
1277#41—64no—
1278#41—98no—
1279#41—184no—
1280#41—188no—
1281#41—188no—
1282#41—184no—
1283#41—188no—
1284#41—184no—
1285C2×Q8—31no—
1286C2×Q8—31no—
1287C2×Q8—91no—
1288C2×Q8—92no—
1289C2×Q8—184no—
1290C2×D4—32no—
1291C2×D4—32no—
1292C2×D4—32no—
1293C2×D4—32no—
1294C2×D4—31no—
1295C2×D4—31no—
1296C2×D4—32no—
1297C2×D4—32no—
1298C2×D4—31no—
1299C2×D4—31no—
1300C2×D4—32no—
1301C2×D4—64no—
1302C2×D4—92no—
1303C2×D4—91no—
1304C2×D4—91no—
1305C2×D4—92no—
1306C2×D4—92no—
1307C2×D4—91no—
1308C2×D4—91no—
1309C2×D4—92no—
1310C2×D4—92no—
1311C2×D4—92no—
1312C2×D4—92no—
1313C2×D4—91no—
1314C2×D4—92no—
1315C2×D4—92no—
1316C2×D4—92no—
1317C2×D4—92no—
1318C2×D4—92no—
1319C2×D4—91no—
1320C2×D4—184no—
1321C2×D4—188no—
1322C2×D4—184no—
1323C2×D4—188no—
1324C2×D4—184no—
1325C2×D4—188no—
1326C2×D4—188no—
1327C2×D4—364no—
1328C2×D4—364no—
1329C2×D4—364no—
1330C2×D4C2×D3211yescharacteristic
1331C2×D4C2×D3212yes—
1332C22×C4—32no—
1333C22×C4—32no—
1334C22×C4—32no—
1335C22×C4—31no—
1336C22×C4—31no—
1337C22×C4—32no—
1338C22×C4—92no—
1339C22×C4—92no—
1340C22×C4—92no—
1341C22×C4—92no—
1342C22×C4—92no—
1343C22×C4—91no—
1344C22×C4—91no—
1345C22×C4—91no—
1346C22×C4—91no—
1347C22×C4—91no—
1348C22×C4—92no—
1349C22×C4—184no—
1350C22×C4—188no—
1351C22×C4C2×D3211yescharacteristic
1352C4⋊C4—32no—
1353C4⋊C4—31no—
1354C4⋊C4—31no—
1355C4⋊C4—32no—
1356C4⋊C4—91no—
1357C4⋊C4—92no—
1358C4⋊C4—91no—
1359C4⋊C4—92no—
1360C4⋊C4—91no—
1361C4⋊C4—91no—
1362C4⋊C4—92no—
1363C4⋊C4—91no—
1364C4⋊C4C2×D3211yescharacteristic
1365C22⋊C4—32no—
1366C22⋊C4—31no—
1367C22⋊C4—31no—
1368C22⋊C4—32no—
1369C22⋊C4—31no—
1370C22⋊C4—32no—
1371C22⋊C4—31no—
1372C22⋊C4—32no—
1373C22⋊C4—32no—
1374C22⋊C4—92no—
1375C22⋊C4—91no—
1376C22⋊C4—91no—
1377C22⋊C4—91no—
1378C22⋊C4—91no—
1379C22⋊C4—92no—
1380C22⋊C4—92no—
1381C22⋊C4—92no—
1382C22⋊C4—91no—
1383C22⋊C4—91no—
1384C22⋊C4—92no—
1385C22⋊C4—92no—
1386C22⋊C4—92no—
1387C22⋊C4—92no—
1388C22⋊C4C2×D3212yes—
1389C42—31no—
1390C42—32no—
1391C42—31no—
1392C42—92no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—21no—
1396C22×C3—21no—
1397C22×C3—22no—
1398C22×C3—21no—
1399C22×C3—21no—
1400C22×C3—22no—
1401C22×C3—22no—
1402C22×C3—22no—
1403C22×C3—22no—
1404C22×C3—21no—
1405C22×C3—21no—
1406C22×C3—21no—
1407C22×C3—34no—
1408C22×C3—41no—
1409C22×C3—41no—
1410C22×C3—42no—
1411C22×C3—42no—
1412C22×C3—42no—
1413C22×C3—62no—
1414C22×C3—62no—
1415C22×C3—62no—
1416C22×C3—61no—
1417C22×C3—61no—
1418C22×C3—62no—
1419C22×C3—61no—
1420C22×C3—61no—
1421C22×C3—61no—
1422C22×C3—61no—
1423C22×C3—62no—
1424C22×C3—244no—
1425C22×C3C24×D311yescharacteristic
1426C22×C3C24×D311yescharacteristic
1427C2×D3—22no—
1428C2×D3—22no—
1429C2×D3—22no—
1430C2×D3—21no—
1431C2×D3—21no—
1432C2×D3—22no—
1433C2×D3—21no—
1434C2×D3—21no—
1435C2×D3—21no—
1436C2×D3—22no—
1437C2×D3—21no—
1438C2×D3—32no—
1439C2×D3—32no—
1440C2×D3—32no—
1441C2×D3—32no—
1442C2×D3—62no—
1443C2×D3—62no—
1444C2×D3—62no—
1445C2×D3—62no—
1446C2×D3—61no—
1447C2×D3—61no—
1448C2×D3—61no—
1449C2×D3—61no—
1450C2×D3—61no—
1451C2×D3—61no—
1452C2×D3—61no—
1453C2×D3—61no—
1454C2×D3—62no—
1455C2×D3—62no—
1456C2×D3—62no—
1457C2×D3—62no—
1458C2×D3—62no—
1459C2×D3—62no—
1460C2×D3—84no—
1461C2×D3—121no—
1462C2×D3—121no—
1463C2×D3—122no—
1464C2×D3—122no—
1465C2×D3—122no—
1466C2×D3—128no—
1467C2×D3—128no—
1468C2×D3—124no—
1469C2×D3—124no—
1470C2×D3—128no—
1471C2×D3—244no—
1472C2×D3—244no—
1473C2×D3—244no—
1474C2×D3—244no—
1475C2×D3—248no—
1476C2×D3C2×D3×D414yes—
1477C3×C4—21no—
1478C3×C4—21no—
1479C3×C4—22no—
1480C3×C4—22no—
1481C3×C4—22no—
1482C3×C4—34no—
1483C3×C4—41no—
1484C3×C4—42no—
1485C3×C4—61no—
1486C3×C4—62no—
1487C3×C4—61no—
1488C3×C4—61no—
1489C3×C4—61no—
1490C3×C4—61no—
1491C3×C4—61no—
1492C3×C4C2×D3×D412yes—
1493C3×C4C2×D3×D412yes—
1494Dic3—22no—
1495Dic3—21no—
1496Dic3—21no—
1497Dic3—21no—
1498Dic3—21no—
1499Dic3—21no—
1500Dic3—21no—
1501Dic3—32no—
1502Dic3—32no—
1503Dic3—62no—
1504Dic3—61no—
1505Dic3—61no—
1506Dic3—62no—
1507Dic3—62no—
1508Dic3—121no—
1509Dic3—122no—
1510Dic3C2×D3×D414yes—
1511C32#348811yescharacteristic, complemented, Sylow
1512C23—32no—
1513C23—31no—
1514C23—31no—
1515C23—32no—
1516C23—64no—
1517C23—91no—
1518C23—91no—
1519C23—92no—
1520C23—122no—
1521C23—122no—
1522C23—182no—
1523C23—182no—
1524C23—184no—
1525C23—184no—
1526C23—184no—
1527C23—184no—
1528C23—361no—
1529C23—362no—
1530C23—362no—
1531C23—362no—
1532C23—362no—
1533C23—362no—
1534C23C22×D3212yes—
1535C23C22×D3211yescharacteristic
1536Q8—34no—
1537Q8—62no—
1538Q8—184no—
1539Q8—182no—
1540D4—22no—
1541D4—34no—
1542D4—42no—
1543D4—64no—
1544D4—64no—
1545D4—64no—
1546D4—64no—
1547D4—62no—
1548D4—98no—
1549D4—122no—
1550D4—122no—
1551D4—121no—
1552D4—122no—
1553D4—121no—
1554D4—184no—
1555D4—184no—
1556D4—184no—
1557D4—182no—
1558D4—182no—
1559D4—184no—
1560D4—182no—
1561D4—182no—
1562D4—184no—
1563D4—182no—
1564D4—184no—
1565D4—184no—
1566D4—182no—
1567D4—362no—
1568D4—362no—
1569D4—362no—
1570D4—362no—
1571C2×C4—22no—
1572C2×C4—32no—
1573C2×C4—31no—
1574C2×C4—31no—
1575C2×C4—31no—
1576C2×C4—31no—
1577C2×C4—32no—
1578C2×C4—31no—
1579C2×C4—31no—
1580C2×C4—64no—
1581C2×C4—64no—
1582C2×C4—64no—
1583C2×C4—62no—
1584C2×C4—62no—
1585C2×C4—98no—
1586C2×C4—91no—
1587C2×C4—94no—
1588C2×C4—92no—
1589C2×C4—91no—
1590C2×C4—122no—
1591C2×C4—182no—
1592C2×C4—182no—
1593C2×C4—184no—
1594C2×C4—184no—
1595C2×C4—184no—
1596C2×C4—182no—
1597C2×C4—182no—
1598C2×C4—362no—
1599C2×C4—362no—
1600C2×C4C22×D3212yes—
1601C2×C4C22×D3211yescharacteristic
1602C2×C4C22×D3211yescharacteristic
1603C2×C3—21no—
1604C2×C3—21no—
1605C2×C3—21no—
1606C2×C3—42no—
1607C2×C3—42no—
1608C2×C3—41no—
1609C2×C3—41no—
1610C2×C3—42no—
1611C2×C3—64no—
1612C2×C3—82no—
1613C2×C3—122no—
1614C2×C3—121no—
1615C2×C3—121no—
1616C2×C3C22×D3×D411yescharacteristic
1617C2×C3C22×D3×D411yescharacteristic
1618C2×C3#596411yescharacteristic
1619C2×C3#596411yescharacteristic
1620C2×C3D3×H(5,𝔽2)11yescharacteristic
1621C2×C3D3×H(5,𝔽2)11yescharacteristic
1622D3—24no—
1623D3—41no—
1624D3—42no—
1625D3—41no—
1626D3—64no—
1627D3—62no—
1628D3—62no—
1629D3—62no—
1630D3—62no—
1631D3—122no—
1632D3—122no—
1633D3—122no—
1634D3—242no—
1635C22—21no—
1636C22—22no—
1637C22—21no—
1638C22—22no—
1639C22—21no—
1640C22—22no—
1641C22—34no—
1642C22—62no—
1643C22—62no—
1644C22—62no—
1645C22—61no—
1646C22—61no—
1647C22—61no—
1648C22—62no—
1649C22—61no—
1650C22—62no—
1651C22—61no—
1652C22—61no—
1653C22—92no—
1654C22—92no—
1655C22—181no—
1656C22—181no—
1657C22—181no—
1658C22—181no—
1659C22—182no—
1660C22—182no—
1661C22—182no—
1662C22—244no—
1663C22—364no—
1664C22—368no—
1665C22—724no—
1666C22—724no—
1667C22C23×D3211yescharacteristic
1668C4—21no—
1669C4—22no—
1670C4—34no—
1671C4—61no—
1672C4—61no—
1673C4—62no—
1674C4—61no—
1675C4—61no—
1676C4—61no—
1677C4—61no—
1678C4—92no—
1679C4—181no—
1680C4—182no—
1681C4D32×D412yes—
1682C3—21no—
1683C3#8662911yescharacteristic, complemented
1684C3#8676911yescharacteristic, complemented
1685C2—42no—
1686C2—41no—
1687C2—64no—
1688C2—121no—
1689C2—122no—
1690C2—121no—
1691C2—182no—
1692C2—182no—
1693C2—362no—
1694C2C2×D32×D411yescharacteristic
1695C2#1059667511yescharacteristic
1696C2#1059669511yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×#121C22
hypercenter#121D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #121

Complements

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

NH ≅ G/Ntype
1. C2×#64314C2semidirect
2. C2×#64306C2semidirect
3. C3⋊D3×#121C2semidirect
4. C3×#5612C2semidirect
5. C3×#5599C2semidirect
6. #10595297C2semidirect
7. #10595293C2semidirect
8. #10595292C2semidirect
9. #10595286C2semidirect
10. #10595237C2semidirect
11. #10595168C2semidirect
12. #10595132C2semidirect
13. #10595067C2semidirect
14. #10595016C2semidirect
15. #10595007C2semidirect
16. #10594621C2semidirect
17. #10594528C2semidirect
18. #10594361C2semidirect
19. #10594329C2semidirect
20. #10594279C2semidirect
21. #10594266C2semidirect
22. D3×#884C2semidirect
23. #10594186C2semidirect
26. C2×D4×C3⋊D3C22semidirect
27. C2×D4×C3⋊D3C22semidirect
28. C22×C4×C3⋊D3C22semidirect
29. C2×C3×#237C22semidirect
30. C2×C3×D3×D4C22semidirect
31. C2×C3×#235C22semidirect
32. C2×C3×#235C22semidirect
33. C2×#3811C22semidirect
34. C2×#3811C22semidirect
35. C2×D3×#67C22semidirect
36. C2×D3×#67C22semidirect
37. C22×#626C22semidirect
38. C2×#3805C22semidirect
39. C2×#3804C22semidirect
42. C2×#3802C22semidirect
43. C2×D3×D12C22semidirect
44. C2×D3×D12C22semidirect
45. C2×C4×D32C22semidirect
46. C2×#3799C22semidirect
47. C2×#3798C22semidirect
48. C2×#3798C22semidirect
49. C2×#3797C22semidirect
51. C2×#3796C22semidirect
52. C32×#121C22semidirect
53. #64148C22semidirect
54. #64147C22semidirect
55. #64139C22semidirect
56. #64104C22semidirect
57. C4⋊C4×C3⋊D3C22semidirect
58. #64093C22semidirect
59. C22⋊C4×C3⋊D3C22semidirect
60. C3×#940C22semidirect
61. C3×#940C22semidirect
62. C3×#939C22semidirect
63. C3×#938C22semidirect
64. C3×#937C22semidirect
65. C3×#936C22semidirect
66. C3×C4×#67C22semidirect
67. C3×C4×#67C22semidirect
68. C3×#897C22semidirect
69. C3×#895C22semidirect
70. C3×#893C22semidirect
71. C3×#887C22semidirect
72. C3×#884C22semidirect
73. C3×#883C22semidirect
74. C3×#67⋊C4C22semidirect
75. C3×D3×C22⋊C4C22semidirect
76. #63983C22semidirect
77. #63983C22semidirect
78. #63982C22semidirect
79. #63981C22semidirect
80. #63981C22semidirect
81. #63981C22semidirect
82. #63981C22semidirect
83. #63980C22semidirect
84. #63979C22semidirect
85. #63976C22semidirect
86. #63971C22semidirect
87. #63971C22semidirect
88. #63971C22semidirect
89. #63970C22semidirect
90. #63964C22semidirect
91. #63959C22semidirect
92. #63958C22semidirect
93. #63958C22semidirect
94. #63952C22semidirect
95. #63923C22semidirect
96. #63922C22semidirect
97. D3×(C2×D3)⋊C4C22semidirect
98. #63916C22semidirect
99. #63912C22semidirect
100. #63912C22semidirect
101. #63911C22semidirect
102. #63910C22semidirect
103. #63908C22semidirect
104. #63906C22semidirect
105. #63906C22semidirect
106. #63904C22semidirect
107. C4×#626C22semidirect
108. C4×#626C22semidirect
109. C4×#626C22semidirect
110. #63899C22semidirect
111. #63895C22semidirect
112. #63894C22semidirect
113. Dic3×D12C22semidirect
114. #63885C22semidirect
115. #63881C22semidirect
116. #63877C22semidirect
117. D3×Dic3⋊C4C22semidirect
118. #63874C22semidirect
119. #63865C22semidirect
120. #63864C22semidirect
121. #63856C22semidirect
122. #63853C22semidirect
123. #63853C22semidirect
124. #63852C22semidirect
125. #63850C22semidirect
126. Dic3×Dic6C22semidirect
148. #5612D3semidirect
158. #5599D3semidirect
255. #3796D4semidirect
319. C2×#237C2×D3semidirect
336. C2×D3×D4C2×D3semidirect
343. C2×#235C2×D3semidirect
344. C2×#235C2×D3semidirect
363. C3×#121C2×D3semidirect
364. C3×#121C2×D3semidirect
379. #940C2×D3semidirect
380. #940C2×D3semidirect
391. #939C2×D3semidirect
400. #938C2×D3semidirect
411. #937C2×D3semidirect
413. #936C2×D3semidirect
427. C4×#67C2×D3semidirect
428. C4×#67C2×D3semidirect
434. #897C2×D3semidirect
444. #895C2×D3semidirect
451. #893C2×D3semidirect
456. #887C2×D3semidirect
475. #884C2×D3semidirect
478. #883C2×D3semidirect
488. #67⋊C4C2×D3semidirect
493. D3×C22⋊C4C2×D3semidirect
554. C4×C3⋊D3C2×D4semidirect
574. C3×D12C2×D4semidirect
581. C3×Dic6C2×D4semidirect
593. #626C2×D4semidirect
601. D3×Dic3C2×D4semidirect
914. C2×C3⋊D3H(5,𝔽2)semidirect
1013. #121D32semidirect
1224. D12D3×D4semidirect
1257. Dic6D3×D4semidirect
1511. C32#3488semidirect
1683. C3#86629semidirect
1684. 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×#643062
C3⋊D3×#1212
C3×#56122
C3×#55992
#105952972
#105952932
#105952922
#105952862
#105952372
#105951682
#105951322
#105950672
#105950162
#105950072
#105946212
#105945282
#105943612
#105943292
#105942792
#105942662
D3×#8842
#105941862
#867693
#866293