Finite Group Databasebeta

← #11904679

Subgroups — #11904679

Order 1152.

3472 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64313C211yesmaximal, characteristic, complemented
2C2×D3×#237C211yesmaximal, characteristic, complemented
3#10596189C211yesmaximal, characteristic, complemented
4C3×#5717C211yesmaximal, characteristic, complemented
5C3×#5715C211yesmaximal, characteristic, complemented
6#10595293C211yesmaximal, characteristic, complemented
7#10595290C212yesmaximal, complemented
8#10595289C212yesmaximal, complemented
9#10595287C212yesmaximal, complemented
10#10595285C212yesmaximal, complemented
11D3×#939C212yesmaximal, complemented
12D3×#938C211yesmaximal, characteristic, complemented
13#10595232C211yesmaximal, characteristic, complemented
14#10595229C211yesmaximal, characteristic, complemented
15#10595225C212yesmaximal, complemented
16#10595164C211yesmaximal, characteristic, complemented
17#10595161C211yesmaximal, characteristic, complemented
18#10595132C212yesmaximal, complemented
19#10595130C212yesmaximal, complemented
20#10594005C211yesmaximal, characteristic, complemented
21#10593997C211yesmaximal, characteristic, complemented
22#10593905C211yesmaximal, characteristic, complemented
23#10593887C211yesmaximal, characteristic, complemented
24#86607—31nomaximal
25#86331—31nomaximal
26C2×#3830C2211yescharacteristic, complemented
27C2×#3830C2211yescharacteristic, complemented
28C2×C3×#237C2211yescharacteristic, complemented
29C2×C3×D3×D4C2211yescharacteristic, complemented
30C2×C3×D3×D4C2211yescharacteristic, complemented
31C2×C3×D3×D4C2211yescharacteristic, complemented
32C2×C3×D3×D4C2212yescomplemented
33C2×D3×#67C2212yescomplemented
34C2×D3×#67C2212yescomplemented
35C2×D3×#67C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C2×D3×#67C2212yescomplemented
38C22×#625C2212yescomplemented
39C2×#3805C2212yescomplemented
40C2×#3805C2212yescomplemented
41C2×#3804C2212yescomplemented
42C22×D3×Dic3C2212yescomplemented
43#64313—28no—
44D3×#237—28no—
45C2×#3802C2211yescharacteristic, complemented
46C2×C4×D32C2211yescharacteristic, complemented
47C2×#3798C2211yescharacteristic, complemented
48C2×#3796C2211yescharacteristic, complemented
49C2×#3795C2211yescharacteristic
50C2×#3795C2211yescharacteristic, complemented
51C2×D3×Dic6C2211yescharacteristic, complemented
52C32×#127C2211yescharacteristic, complemented
53#64149C2212yescomplemented
54#64148C2212yescomplemented
55#64148C2212yescomplemented
56#64147C2211yescharacteristic, complemented
57#64147C2211yescharacteristic, complemented
58D4×C3⋊Dic3C2212yescomplemented
59C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
60C4×#634C2211yescharacteristic, complemented
61C3×#940C2211yescharacteristic, complemented
62C3×#939C2212yescomplemented
63C3×#939C2212yescomplemented
64C3×#938C2212yescomplemented
65C3×#938C2211yescharacteristic, complemented
66C3×#938C2211yescharacteristic, complemented
67C3×#937C2212yescomplemented
68C3×#937C2212yescomplemented
69C3×#937C2212yescomplemented
70C3×#937C2212yescomplemented
71C3×#936C2211yescharacteristic, complemented
72C3×#875C2211yescharacteristic, complemented
73C3×C4×D12C2211yescharacteristic, complemented
74C3×C4×D12C2211yescharacteristic, complemented
75C3×#872C2211yescharacteristic, complemented
76#63983C2212yescomplemented
77#63982C2212yescomplemented
78#63980C2212yescomplemented
79#63979C2212yescomplemented
80#63978C2212yescomplemented
81#63977C2212yescomplemented
82#63976C2212yescomplemented
83#67⋊Dic3C2212yescomplemented
84#67⋊Dic3C2212yescomplemented
85#63971C2212yescomplemented
86#63971C2212yescomplemented
87#63971C2212yescomplemented
88#63971C2212yescomplemented
89#63970C2212yescomplemented
90#63970C2212yescomplemented
91#63970C2212yescomplemented
92#63969C2212yescomplemented
93D3×#217C2212yescomplemented
94D3×#217C2212yescomplemented
95#63964C2212yescomplemented
96#63958C2212yescomplemented
97#63953C2212yescomplemented
98#63923C2211yescharacteristic, complemented
99#63923C2212yescomplemented
100#63922C2211yescharacteristic, complemented
101D3×(C2×D3)⋊C4C2212yescomplemented
102#63916C2211yescharacteristic, complemented
103#63915C2212yescomplemented
104#63910C2211yescharacteristic, complemented
105#63908C2211yescharacteristic, complemented
106#63906C2212yescomplemented
107C4×#626C2211yescharacteristic, complemented
108C4×#626C2211yescharacteristic, complemented
109#63902C2212yescomplemented
110#63902C2212yescomplemented
111#63899C2212yescomplemented
112#63895C2211yescharacteristic, complemented
113#63893C2211yescharacteristic, complemented
114Dic3×D12C2211yescharacteristic, complemented
115#63891C2212yescomplemented
116#63891C2211yescharacteristic, complemented
117#63890C2211yescharacteristic, complemented
118D3×C4⋊Dic3C2211yescharacteristic, complemented
119#63886C2211yescharacteristic, complemented
120#63885C2212yescomplemented
121#63879C2212yescomplemented
122#63878C2212yescomplemented
123D3×Dic3⋊C4C2212yescomplemented
124#63871C2211yescharacteristic, complemented
125#63856C2211yescharacteristic, complemented
126#63844C2211yescharacteristic, complemented
127C2×D3×#41—31no—
128C2×#1004—31no—
129C2×#1004—31no—
130C22×#237—31no—
131C3×D42—31no—
132C3×#535—31no—
133#5833—31no—
134#5806—31no—
135C2×#939—32no—
136D4×#67—31no—
137D4×#67—32no—
138C2×#938—31no—
139#5718—31no—
140#5718—31no—
141#5718—31no—
142#5718—61no—
143#5717—31no—
144#5717D311yescharacteristic, complemented
145#5715D311yescharacteristic, complemented
146#5677—31no—
147#5677—31no—
148#5676—31no—
149#5676—31no—
150#5610—32no—
151#5608—31no—
152#5608—32no—
153#5607—32no—
154#5606—32no—
155D3×#121—32no—
156D3×#121—31no—
157#5599—31no—
158#5598—31no—
159#5597—32no—
160#5592—32no—
161#5591—32no—
162#5591—32no—
163#5591—32no—
164#5590—32no—
165#5590—32no—
166#5590—32no—
167#5586—32no—
168#5554—31no—
169#5552—31no—
170#5547—31no—
171#5546—31no—
172#5524—31no—
173#5523—31no—
174C23×C3×D3C2312yes—
175C23×C3×D3C2312yes—
176C23×C3×D3C2312yes—
177C22×D32C2311yescharacteristic
178C22×D32C2312yes—
179C2×C32×D4C2311yescharacteristic
180C2×C32×D4C2311yescharacteristic
181C2×C32×D4C2312yes—
182C2×C32×D4C2312yes—
183C2×#638C2312yes—
184C2×#638C2312yes—
185C2×#638C2312yes—
186C2×#638C2312yes—
187C22×C3⋊Dic3C2312yes—
188C22×C3⋊Dic3C2312yes—
189#3830—24no—
190#3830—24no—
191C2×C4⋊(C3⋊D3)C2311yescharacteristic
192C2×C4×C3⋊D3C2311yescharacteristic
193C2×C4×C3⋊D3C2311yescharacteristic
194C2×#634C2311yescharacteristic
195C2×C3×#67C2312yes—
196C2×C3×#67C2312yes—
197C2×C3×#67C2312yes—
198C2×C3×#67C2312yes—
199C2×C3×#67C2312yes—
200C2×C3×#67C2312yes—
201C2×C3×#67C2312yes—
202C2×C3×#67C2312yes—
203C22×C3×Dic3C2312yes—
204C3×#237—24no—
205C3×D3×D4—24no—
206C3×D3×D4—24no—
207C3×D3×D4—24no—
208C3×D3×D4—44no—
209C2×C3×D12C2311yescharacteristic
210C2×C3×D12C2311yescharacteristic
211C2×C3×D12C2311yescharacteristic
212C2×C3×C4×D3C2311yescharacteristic
213C2×C3×C4×D3C2311yescharacteristic
214C2×C3×C4×D3C2312yes—
215C2×C3×C4×D3C2311yescharacteristic
216C2×C3×Dic6C2311yescharacteristic
217D3×#67—28no—
218D3×#67—28no—
219D3×#67—28no—
220D3×#67—44no—
221D3×#67—44no—
222C2×#627C2312yes—
223C2×#627C2311yescharacteristic
224C2×#626C2312yes—
225C2×#626C2311yescharacteristic
226C2×#626C2311yescharacteristic
227C2×#626C2311yescharacteristic
228C2×#626C2312yes—
229C2×#626C2311yescharacteristic
230C2×#625—28no—
231C2×#625C2312yes—
232C2×#625C2311yescharacteristic
233C2×#625C2312yes—
234C2×#625C2312yes—
235C2×#625C2312yes—
236C2×#624C2311yescharacteristic
237#3805—28no—
238#3805—28no—
239#3804—28no—
240C2×D3×Dic3—28no—
241C2×D3×Dic3C2312yes—
242C2×D3×Dic3C2312yes—
243C2×D3×Dic3C2312yes—
244C2×D3×Dic3C2311yescharacteristic
245C2×D3×Dic3C2311yescharacteristic
246C2×D3×Dic3C2312yes—
247C2×D3×Dic3C2312yes—
248C2×D3×Dic3C2312yes—
249#3802—24no—
250C4×D32—24no—
251#3798—24no—
252#3796—24no—
253#3795—24no—
254#3795D418yescomplemented
255D3×Dic6—24no—
256C32×C42C2311yescharacteristic
257#3757C2312yes—
258#3757C2312yes—
259#3752C2311yescharacteristic
260#3752C2311yescharacteristic
261C4⋊(C3⋊Dic3)C2311yescharacteristic
262C4⋊(C3⋊Dic3)C2311yescharacteristic
263#3750C2312yes—
264C4×C3⋊Dic3C2312yes—
265C3×#217C2312yes—
266C3×#217C2312yes—
267C3×#217C2312yes—
268C3×#217C2312yes—
269C3×(C2×D3)⋊C4C2312yes—
270C3×(C2×D3)⋊C4C2311yescharacteristic
271C3×(C2×D3)⋊C4C2311yescharacteristic
272C3×(C2×D3)⋊C4C2311yescharacteristic
273C3×(C2×D3)⋊C4C2311yescharacteristic
274C3×(C2×D3)⋊C4C2312yes—
275C3×(C2×D3)⋊C4C2312yes—
276C3×C4⋊Dic3C2311yescharacteristic
277C3×C4⋊Dic3C2311yescharacteristic
278C3×Dic3⋊C4C2311yescharacteristic
279C3×Dic3⋊C4C2311yescharacteristic
280C3×C4×Dic3C2311yescharacteristic
281#3724C2312yes—
282#3724C2312yes—
283Dic3⋊Dic3C2312yes—
284Dic3⋊Dic3C2312yes—
285Dic3⋊Dic3C2311yescharacteristic
286Dic3⋊Dic3C2311yescharacteristic
287#3722C2312yes—
288#3722C2311yescharacteristic
289#3722C2311yescharacteristic
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—
299C22×C3×D4—31no—
300C22×C3×D4—31no—
301C22×C3×D4—31no—
302C22×C3×D4—32no—
303C22×#67—32no—
304C22×#67—32no—
305C22×#67—32no—
306C22×#67—32no—
307C22×#67—32no—
308C22×#67—32no—
309C22×#67—32no—
310C23×Dic3—32no—
311D3×#41—68no—
312C2×#239—31no—
313C2×D3×Q8—31no—
314#1004—68no—
315#1004—68no—
316C2×#237—31no—
317C2×#237—31no—
318C2×#237—31no—
319C2×#237—31no—
320C2×#237—32no—
321C2×#237—32no—
322C2×#237—32no—
323C2×#237—32no—
324C2×#237—32no—
325C2×#237—31no—
326C2×#237—31no—
327C2×#237—31no—
328C2×#237—61no—
329C2×#237—61no—
330C2×#237—68no—
331C2×#237C2×D311yescharacteristic, complemented
332C2×D3×D4—32no—
333C2×D3×D4—32no—
334C2×D3×D4—32no—
335C2×D3×D4—32no—
336C2×D3×D4—32no—
337C2×D3×D4—31no—
338C2×D3×D4—31no—
339C2×D3×D4C2×D311yescharacteristic, complemented
340C2×D3×D4C2×D311yescharacteristic, complemented
341C2×D3×D4C2×D311yescharacteristic, complemented
342C2×D3×D4C2×D312yescomplemented
343C2×#235—32no—
344C2×#235—31no—
345C2×#235—31no—
346C2×#235—31no—
347C2×#235—31no—
348C22×C4×D3—32no—
349C22×C4×D3—31no—
350C22×C4×D3—31no—
351C22×Dic6—31no—
352C3×#127—21no—
353C3×#127—31no—
354C3×#127C2×D311yescharacteristic, complemented
355C3×#127C2×D311yescharacteristic, complemented
356C3×#124—31no—
357C3×#124—31no—
358C3×#121—32no—
359C3×#121—31no—
360C3×#121—31no—
361C3×#121—32no—
362C3×#121—32no—
363C3×#120—32no—
364C3×#120—32no—
365C3×#120—32no—
366C3×#120—32no—
367C3×C4×D4—31no—
368C3×C4×D4—31no—
369C3×#117—31no—
370#953—32no—
371#953—32no—
372C2×#217—32no—
373C2×#217—32no—
374#946—31no—
375#946—31no—
376#940—32no—
377#940—32no—
378#940—32no—
379#940—32no—
380#940—62no—
381#940C2×D311yescharacteristic, complemented
382#939—32no—
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—32no—
393#939—32no—
394#939—32no—
395#939—32no—
396#939—32no—
397#939—31no—
398#939—62no—
399#939—62no—
400#939C2×D312yescomplemented
401#939C2×D312yescomplemented
402#938—31no—
403#938—31no—
404#938—31no—
405#938—31no—
406#938—32no—
407#938—32no—
408#938—32no—
409#938—31no—
410#938—32no—
411#938—31no—
412#938—61no—
413#938—61no—
414#938C2×D311yescharacteristic, complemented
415#938C2×D311yescharacteristic, complemented
416#938C2×D312yescomplemented
417#937—32no—
418#937—32no—
419#937—32no—
420#937—31no—
421#937C2×D312yescomplemented
422#937C2×D312yescomplemented
423#937C2×D312yescomplemented
424#937C2×D312yescomplemented
425#936C2×D311yescharacteristic, complemented
426#935—32no—
427D4×Dic3—32no—
428D4×Dic3—32no—
429D4×Dic3—32no—
430D4×Dic3—32no—
431D4×Dic3—31no—
432D4×Dic3—62no—
433#930—32no—
434#930—31no—
435#930—32no—
436C4×#67—32no—
437C4×#67—31no—
438C4×#67—31no—
439C2×(C2×D3)⋊C4—32no—
440C2×C4⋊Dic3—31no—
441#924—31no—
442#924—32no—
443C2×Dic3⋊C4—32no—
444#897—31no—
445#897—31no—
446#897—31no—
447#896—32no—
448#896—31no—
449#895—31no—
450#895—31no—
451#895—31no—
452#894—31no—
453#892—32no—
454D3×C4⋊C4—32no—
455D3×C4⋊C4—31no—
456#887—31no—
457#886—31no—
458#886—32no—
459#886—31no—
460#885—32no—
461#885—32no—
462#885—32no—
463#885—32no—
464#884—32no—
465#884—32no—
466#884—32no—
467#884—32no—
468#884—32no—
469#884—32no—
470#884—32no—
471#884—31no—
472#883—32no—
473#883—32no—
474#883—31no—
475#882—32no—
476#882—31no—
477#882—32no—
478#882—31no—
479#882—31no—
480#882—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—32no—
488D3×C22⋊C4—32no—
489D3×C22⋊C4—32no—
490D3×C22⋊C4—32no—
491#878—32no—
492#878—32no—
493#878—32no—
494#878—32no—
495#878—31no—
496#877—32no—
497#875C2×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—
512C23×C32C2412yes—
513C22×C3⋊D3C2411yescharacteristic
514C22×C3⋊D3C2411yescharacteristic
515C22×C3×D3—24no—
516C22×C3×D3—24no—
517C22×C3×D3—24no—
518C22×C3×D3—24no—
519C22×C3×D3—42no—
520C22×C3×D3—42no—
521C22×C3×D3—42no—
522C22×C3×D3—42no—
523C22×C3×D3—42no—
524C22×C3×D3C2412yes—
525C22×C3×D3C2411yescharacteristic
526C22×C3×D3C2412yes—
527C22×C3×D3C2411yescharacteristic
528C22×C3×D3C2411yescharacteristic
529C2×D32—22no—
530C2×D32—22no—
531C2×D32—24no—
532C2×D32—41no—
533C2×D32—42no—
534C2×D32—42no—
535C32×D4—22no—
536C32×D4—22no—
537C32×D4—42no—
538C32×D4—42no—
539C2×C32×C4C2411yescharacteristic
540C2×C32×C4C2411yescharacteristic
541C2×C32×C4C2411yescharacteristic
542#638—24no—
543#638—24no—
544#638—42no—
545#638—42no—
546C2×C3⋊Dic3—24no—
547C2×C3⋊Dic3—24no—
548C2×C3⋊Dic3C2412yes—
549C2×C3⋊Dic3C2411yescharacteristic
550C2×C3⋊Dic3C2411yescharacteristic
551C2×C3⋊Dic3C2412yes—
552C4⋊(C3⋊D3)—41no—
553C4×C3⋊D3—22no—
554C4×C3⋊D3—22no—
555#634C2×D414yescomplemented
556C3×#67—24no—
557C3×#67—24no—
558C3×#67—24no—
559C3×#67—24no—
560C3×#67—24no—
561C3×#67—42no—
562C3×#67—42no—
563C3×#67—42no—
564C2×C3×Dic3—24no—
565C2×C3×Dic3C2411yescharacteristic
566C2×C3×Dic3C2412yes—
567C2×C3×Dic3C2411yescharacteristic
568C2×C3×Dic3C2411yescharacteristic
569C2×C3×Dic3C2412yes—
570C2×C3×Dic3C2411yescharacteristic
571C2×C3×Dic3C2411yescharacteristic
572C3×D12—22no—
573C3×D12—22no—
574C3×D12C2×D414yescomplemented
575C3×C4×D3—22no—
576C3×C4×D3—22no—
577C3×C4×D3—42no—
578C3×C4×D3C2×D414yescomplemented
579C3×Dic6—22no—
580#627—24no—
581#627—22no—
582#626—24no—
583#626—22no—
584#626—22no—
585#626—22no—
586#626—41no—
587#626—42no—
588#625—22no—
589#625—24no—
590#625—24no—
591#625—24no—
592#625C2×D418yescomplemented
593#624—22no—
594D3×Dic3—24no—
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—91no—
609#546—92no—
610#546—92no—
611#546—91no—
612D42—31no—
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—91no—
623C2×#121—92no—
624#520—91no—
625C24×C3—32no—
626C24×C3—32no—
627C24×C3—32no—
628C23×D3—31no—
629C23×D3—31no—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3C22×D312yes—
633C23×D3C22×D312yes—
634C23×D3C22×D312yes—
635C3×#41—64no—
636C2×C3×Q8—31no—
637C2×C3×D4—22no—
638C2×C3×D4—21no—
639C2×C3×D4—21no—
640C2×C3×D4—22no—
641C2×C3×D4—32no—
642C2×C3×D4—32no—
643C2×C3×D4—32no—
644C2×C3×D4—32no—
645C2×C3×D4—32no—
646C2×C3×D4—32no—
647C2×C3×D4—32no—
648C2×C3×D4—32no—
649C2×C3×D4—31no—
650C2×C3×D4—31no—
651C2×C3×D4—31no—
652C2×C3×D4—64no—
653C2×C3×D4—64no—
654C2×C3×D4—64no—
655C2×C3×D4—124no—
656C2×C3×D4C22×D311yescharacteristic
657C2×C3×D4C22×D311yescharacteristic
658C2×C3×D4C22×D311yescharacteristic
659C2×C3×D4C22×D311yescharacteristic
660C2×C3×D4C22×D312yes—
661C2×C3×D4C22×D312yes—
662C2×C3×D4C22×D312yes—
663C2×C3×D4C22×D312yes—
664C22×C3×C4—31no—
665C22×C3×C4—32no—
666C22×C3×C4—31no—
667C22×C3×C4—31no—
668C22×C3×C4—32no—
669C2×#67—32no—
670C2×#67—32no—
671C2×#67—32no—
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—32no—
675C2×#67—32no—
676C2×#67—32no—
677C2×#67—31no—
678C2×#67—32no—
679C2×#67—31no—
680C2×#67—32no—
681C2×#67—32no—
682C2×#67—32no—
683C2×#67—32no—
684C2×#67—32no—
685C2×#67—32no—
686C2×#67—32no—
687C2×#67—31no—
688C2×#67—31no—
689C2×#67—32no—
690C2×#67—31no—
691C2×#67—32no—
692C2×#67—31no—
693C2×#67—62no—
694C2×#67—62no—
695C2×#67—62no—
696C2×#67—62no—
697C2×#67—68no—
698C2×#67—68no—
699C2×#67—68no—
700C2×#67—68no—
701C2×#67—68no—
702C2×#67—124no—
703C2×#67—124no—
704C2×#67C22×D312yes—
705C2×#67C22×D312yes—
706C2×#67C22×D312yes—
707C2×#67C22×D312yes—
708C2×#67C22×D312yes—
709C2×#67C22×D312yes—
710C2×#67C22×D312yes—
711C2×#67C22×D312yes—
712C22×Dic3—32no—
713C22×Dic3—32no—
714C22×Dic3—32no—
715C22×Dic3—32no—
716C22×Dic3—32no—
717C22×Dic3—32no—
718C22×Dic3—31no—
719C22×Dic3—32no—
720C22×Dic3—31no—
721C22×Dic3—32no—
722C22×Dic3—32no—
723C22×Dic3—32no—
724C22×Dic3—62no—
725C22×Dic3—62no—
726C22×Dic3—68no—
727C22×Dic3C22×D312yes—
728#239—64no—
729D3×Q8—64no—
730#237—24no—
731#237—38no—
732#237—64no—
733#237—64no—
734#237—64no—
735#237—64no—
736#237—64no—
737#237—64no—
738#237—68no—
739#237—68no—
740#237—68no—
741#237—68no—
742#237—68no—
743#237—124no—
744#237—124no—
745D3×D4—24no—
746D3×D4—24no—
747D3×D4—24no—
748D3×D4—44no—
749D3×D4—68no—
750D3×D4—64no—
751D3×D4—68no—
752D3×D4—68no—
753D3×D4—64no—
754D3×D4—124no—
755D3×D4—124no—
756#235—38no—
757#235—64no—
758#235—64no—
759#235—68no—
760#235—64no—
761C2×D12—31no—
762C2×D12—32no—
763C2×D12—31no—
764C2×D12—31no—
765C2×D12—31no—
766C2×D12—32no—
767C2×D12—31no—
768C2×D12—31no—
769C2×D12—61no—
770C2×D12C22×D311yescharacteristic
771C2×D12C22×D311yescharacteristic
772C2×D12C22×D311yescharacteristic
773C2×C4×D3—32no—
774C2×C4×D3—32no—
775C2×C4×D3—31no—
776C2×C4×D3—32no—
777C2×C4×D3—32no—
778C2×C4×D3—31no—
779C2×C4×D3—31no—
780C2×C4×D3—31no—
781C2×C4×D3—31no—
782C2×C4×D3—31no—
783C2×C4×D3—31no—
784C2×C4×D3—31no—
785C2×C4×D3—32no—
786C2×C4×D3—32no—
787C2×C4×D3—61no—
788C2×C4×D3—61no—
789C2×C4×D3—64no—
790C2×C4×D3—68no—
791C2×C4×D3—64no—
792C2×C4×D3C22×D311yescharacteristic
793C2×C4×D3C22×D311yescharacteristic
794C2×C4×D3C22×D312yes—
795C2×C4×D3C22×D311yescharacteristic
796C2×Dic6—31no—
797C2×Dic6—31no—
798C2×Dic6—31no—
799C2×Dic6—32no—
800C2×Dic6—32no—
801C2×Dic6—31no—
802C2×Dic6—61no—
803C2×Dic6—64no—
804C2×Dic6C22×D311yescharacteristic
805C3×C4⋊C4—31no—
806C3×C4⋊C4—31no—
807C3×C4⋊C4—31no—
808C3×C4⋊C4—31no—
809C3×C22⋊C4—32no—
810C3×C22⋊C4—32no—
811C3×C22⋊C4—32no—
812C3×C22⋊C4—32no—
813C3×C22⋊C4—32no—
814C3×C22⋊C4—32no—
815C3×C22⋊C4—31no—
816C3×C22⋊C4—31no—
817C3×C22⋊C4—31no—
818C3×C22⋊C4—32no—
819C3×C22⋊C4—31no—
820C3×C42—21no—
821C3×C42—31no—
822C3×C42C22×D311yescharacteristic
823C3×C42C22×D311yescharacteristic
824#217—32no—
825#217—32no—
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—62no—
835#217—62no—
836#217C22×D312yes—
837#217C22×D312yes—
838#217C22×D312yes—
839#217C22×D312yes—
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—32no—
846(C2×D3)⋊C4—31no—
847(C2×D3)⋊C4—31no—
848(C2×D3)⋊C4—31no—
849(C2×D3)⋊C4—31no—
850(C2×D3)⋊C4—31no—
851(C2×D3)⋊C4—31no—
852(C2×D3)⋊C4—32no—
853(C2×D3)⋊C4—31no—
854(C2×D3)⋊C4—32no—
855(C2×D3)⋊C4—31no—
856(C2×D3)⋊C4—61no—
857(C2×D3)⋊C4—61no—
858(C2×D3)⋊C4C22×D311yescharacteristic
859(C2×D3)⋊C4C22×D311yescharacteristic
860(C2×D3)⋊C4C22×D311yescharacteristic
861(C2×D3)⋊C4C22×D312yes—
862(C2×D3)⋊C4C22×D311yescharacteristic
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—32no—
873C4⋊Dic3—61no—
874C4⋊Dic3—61no—
875C4⋊Dic3C22×D311yescharacteristic
876C4⋊Dic3C22×D311yescharacteristic
877Dic3⋊C4—32no—
878Dic3⋊C4—32no—
879Dic3⋊C4—32no—
880Dic3⋊C4—32no—
881Dic3⋊C4—31no—
882Dic3⋊C4—31no—
883Dic3⋊C4—32no—
884Dic3⋊C4—32no—
885Dic3⋊C4—32no—
886Dic3⋊C4—32no—
887Dic3⋊C4—62no—
888Dic3⋊C4C22×D311yescharacteristic
889Dic3⋊C4C22×D311yescharacteristic
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×C32—22no—
900C22×C32—22no—
901C22×C32—22no—
902C22×C32C2511yescharacteristic
903C2×C3⋊D3—21no—
904C2×C3⋊D3—21no—
905C2×C3⋊D3—21no—
906C2×C3⋊D3—21no—
907C2×C3⋊D3—21no—
908C2×C3⋊D3—21no—
909C2×C3×D3—21no—
910C2×C3×D3—21no—
911C2×C3×D3—22no—
912C2×C3×D3—21no—
913C2×C3×D3—21no—
914C2×C3×D3—22no—
915C2×C3×D3—22no—
916C2×C3×D3—21no—
917C2×C3×D3—22no—
918C2×C3×D3—21no—
919C2×C3×D3—21no—
920C2×C3×D3—22no—
921C2×C3×D3—48no—
922C2×C3×D3—84no—
923C2×C3×D3—84no—
924C2×C3×D3C22×D414yes—
925C2×C3×D3C22×D412yes—
926C2×C3×D3H(5,𝔽2)12yescomplemented
927D32—44no—
928D32—84no—
929C32×C4—21no—
930C32×C4—21no—
931C32×C4C22×D412yes—
932C3⋊Dic3—21no—
933C3⋊Dic3—21no—
934C3⋊Dic3—22no—
935C3⋊Dic3C22×D414yes—
936C3×Dic3—22no—
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—91no—
946C2×#41—91no—
947C2×#41—92no—
948C2×#41—91no—
949C2×#41—92no—
950C2×#41—92no—
951C2×#41—91no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41—188no—
955C22×Q8—91no—
956C22×D4—31no—
957C22×D4—31no—
958C22×D4—31no—
959C22×D4—32no—
960C22×D4—91no—
961C22×D4—92no—
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—92no—
971#127—92no—
972#127D3211yescharacteristic, complemented
973#124—31no—
974#124—31no—
975#124—92no—
976#124—92no—
977#123—91no—
978#123—92no—
979#123—91no—
980#123—92no—
981C22⋊Q8—92no—
982C22⋊Q8—91no—
983C22⋊Q8—92no—
984C22⋊Q8—92no—
985C22⋊Q8—91no—
986C22⋊Q8—91no—
987C22⋊Q8—91no—
988#121—32no—
989#121—31no—
990#121—32no—
991#121—32no—
992#121—31no—
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—92no—
1006#121—92no—
1007#121—92no—
1008#121—92no—
1009#121—91no—
1010#121—92no—
1011#121—91no—
1012#121—92no—
1013#120—32no—
1014#120—32no—
1015#120—32no—
1016#120—32no—
1017#120—91no—
1018#120—92no—
1019#120—91no—
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—92no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C23×C3—22no—
1045C23×C3—22no—
1046C23×C3—32no—
1047C23×C3—31no—
1048C23×C3—31no—
1049C23×C3—31no—
1050C23×C3—32no—
1051C23×C3—64no—
1052C23×C3—64no—
1053C23×C3—64no—
1054C23×C3—64no—
1055C23×C3—122no—
1056C23×C3—122no—
1057C23×C3—122no—
1058C23×C3—122no—
1059C23×C3—122no—
1060C23×C3C23×D312yes—
1061C23×C3C23×D312yes—
1062C23×C3C23×D312yes—
1063C23×C3C23×D312yes—
1064C22×D3—24no—
1065C22×D3—24no—
1066C22×D3—24no—
1067C22×D3—24no—
1068C22×D3—31no—
1069C22×D3—31no—
1070C22×D3—31no—
1071C22×D3—31no—
1072C22×D3—42no—
1073C22×D3—42no—
1074C22×D3—42no—
1075C22×D3—42no—
1076C22×D3—42no—
1077C22×D3—61no—
1078C22×D3—61no—
1079C22×D3—62no—
1080C22×D3—62no—
1081C22×D3—64no—
1082C22×D3—62no—
1083C22×D3—62no—
1084C22×D3—64no—
1085C22×D3—121no—
1086C22×D3—121no—
1087C22×D3—122no—
1088C22×D3—122no—
1089C22×D3—122no—
1090C22×D3—122no—
1091C22×D3C23×D311yescharacteristic
1092C22×D3C23×D312yes—
1093C22×D3C23×D312yes—
1094C22×D3C23×D311yescharacteristic
1095C22×D3C23×D311yescharacteristic
1096C3×Q8—62no—
1097C3×D4—22no—
1098C3×D4—22no—
1099C3×D4—22no—
1100C3×D4—22no—
1101C3×D4—34no—
1102C3×D4—42no—
1103C3×D4—42no—
1104C3×D4—42no—
1105C3×D4—42no—
1106C3×D4—42no—
1107C3×D4—42no—
1108C3×D4—44no—
1109C3×D4—62no—
1110C3×D4—64no—
1111C3×D4—64no—
1112C3×D4—64no—
1113C3×D4—64no—
1114C3×D4—64no—
1115C3×D4—62no—
1116C3×D4—82no—
1117C3×D4—122no—
1118C3×D4—122no—
1119C3×D4—122no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—31no—
1124C2×C3×C4—34no—
1125C2×C3×C4—31no—
1126C2×C3×C4—32no—
1127C2×C3×C4—31no—
1128C2×C3×C4—31no—
1129C2×C3×C4—32no—
1130C2×C3×C4—31no—
1131C2×C3×C4—64no—
1132C2×C3×C4—62no—
1133C2×C3×C4—62no—
1134C2×C3×C4—122no—
1135C2×C3×C4C23×D311yescharacteristic
1136C2×C3×C4C23×D311yescharacteristic
1137C2×C3×C4C23×D311yescharacteristic
1138C2×C3×C4C23×D311yescharacteristic
1139C2×C3×C4C23×D311yescharacteristic
1140C2×C3×C4C23×D311yescharacteristic
1141#67—24no—
1142#67—24no—
1143#67—24no—
1144#67—24no—
1145#67—24no—
1146#67—38no—
1147#67—38no—
1148#67—42no—
1149#67—42no—
1150#67—42no—
1151#67—62no—
1152#67—64no—
1153#67—62no—
1154#67—64no—
1155#67—64no—
1156#67—64no—
1157#67—64no—
1158#67—64no—
1159#67—64no—
1160#67—62no—
1161#67—64no—
1162#67—64no—
1163#67—62no—
1164#67—64no—
1165#67—64no—
1166#67—62no—
1167#67—124no—
1168#67—124no—
1169#67—121no—
1170#67—122no—
1171#67—122no—
1172#67—122no—
1173#67—122no—
1174#67—122no—
1175#67—242no—
1176#67—242no—
1177C2×Dic3—24no—
1178C2×Dic3—32no—
1179C2×Dic3—32no—
1180C2×Dic3—38no—
1181C2×Dic3—32no—
1182C2×Dic3—32no—
1183C2×Dic3—31no—
1184C2×Dic3—31no—
1185C2×Dic3—31no—
1186C2×Dic3—31no—
1187C2×Dic3—62no—
1188C2×Dic3—62no—
1189C2×Dic3—61no—
1190C2×Dic3—61no—
1191C2×Dic3—64no—
1192C2×Dic3—64no—
1193C2×Dic3—62no—
1194C2×Dic3—64no—
1195C2×Dic3—64no—
1196C2×Dic3—64no—
1197C2×Dic3—64no—
1198C2×Dic3—64no—
1199C2×Dic3—62no—
1200C2×Dic3—124no—
1201C2×Dic3—124no—
1202C2×Dic3—122no—
1203C2×Dic3—122no—
1204C2×Dic3C23×D311yescharacteristic
1205C2×Dic3C23×D312yes—
1206C2×Dic3C23×D311yescharacteristic
1207C2×Dic3C23×D311yescharacteristic
1208C2×Dic3C23×D312yes—
1209C2×Dic3C23×D311yescharacteristic
1210C2×Dic3C23×D311yescharacteristic
1211D12—22no—
1212D12—22no—
1213D12—62no—
1214D12—62no—
1215D12—64no—
1216D12—62no—
1217D12—121no—
1218D12—121no—
1219D12—122no—
1220D12—121no—
1221D12—122no—
1222D12D3×D414yescomplemented
1223C4×D3—22no—
1224C4×D3—22no—
1225C4×D3—38no—
1226C4×D3—42no—
1227C4×D3—62no—
1228C4×D3—64no—
1229C4×D3—64no—
1230C4×D3—62no—
1231C4×D3—62no—
1232C4×D3—64no—
1233C4×D3—62no—
1234C4×D3—62no—
1235C4×D3—62no—
1236C4×D3—62no—
1237C4×D3—62no—
1238C4×D3—122no—
1239C4×D3—122no—
1240C4×D3—122no—
1241C4×D3—122no—
1242C4×D3D3×D414yescomplemented
1243Dic6—22no—
1244Dic6—34no—
1245Dic6—34no—
1246Dic6—64no—
1247Dic6—64no—
1248Dic6—64no—
1249Dic6—62no—
1250Dic6—62no—
1251C2×C32—42no—
1252C2×C32—42no—
1253C2×C32C23×D411yescharacteristic
1254C2×C32C2×H(5,𝔽2)11yescharacteristic
1255C2×C32#58511yescharacteristic
1256C3⋊D3—41no—
1257C3⋊D3—41no—
1258C3×D3—22no—
1259C3×D3—22no—
1260C3×D3—24no—
1261C3×D3—42no—
1262C3×D3—41no—
1263C24—32no—
1264C24—32no—
1265C24—32no—
1266C24—91no—
1267C24—92no—
1268#41—64no—
1269#41—98no—
1270#41—184no—
1271#41—188no—
1272#41—184no—
1273#41—188no—
1274#41—184no—
1275#41—184no—
1276#41—184no—
1277#41—188no—
1278C2×Q8—31no—
1279C2×Q8—91no—
1280C2×Q8—92no—
1281C2×Q8—91no—
1282C2×Q8—184no—
1283C2×D4—32no—
1284C2×D4—32no—
1285C2×D4—32no—
1286C2×D4—32no—
1287C2×D4—32no—
1288C2×D4—32no—
1289C2×D4—32no—
1290C2×D4—32no—
1291C2×D4—31no—
1292C2×D4—31no—
1293C2×D4—31no—
1294C2×D4—64no—
1295C2×D4—64no—
1296C2×D4—64no—
1297C2×D4—91no—
1298C2×D4—92no—
1299C2×D4—91no—
1300C2×D4—91no—
1301C2×D4—91no—
1302C2×D4—92no—
1303C2×D4—92no—
1304C2×D4—92no—
1305C2×D4—91no—
1306C2×D4—92no—
1307C2×D4—92no—
1308C2×D4—92no—
1309C2×D4—92no—
1310C2×D4—92no—
1311C2×D4—92no—
1312C2×D4—91no—
1313C2×D4—124no—
1314C2×D4—188no—
1315C2×D4—184no—
1316C2×D4—188no—
1317C2×D4—188no—
1318C2×D4—188no—
1319C2×D4—364no—
1320C2×D4—364no—
1321C2×D4C2×D3211yescharacteristic
1322C2×D4C2×D3211yescharacteristic
1323C2×D4C2×D3212yes—
1324C2×D4C2×D3212yes—
1325C22×C4—31no—
1326C22×C4—32no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—32no—
1330C22×C4—91no—
1331C22×C4—92no—
1332C22×C4—92no—
1333C22×C4—91no—
1334C22×C4—92no—
1335C22×C4—92no—
1336C22×C4—91no—
1337C22×C4—92no—
1338C22×C4—92no—
1339C22×C4—92no—
1340C22×C4—92no—
1341C22×C4—91no—
1342C22×C4—91no—
1343C22×C4—184no—
1344C22×C4—188no—
1345C4⋊C4—31no—
1346C4⋊C4—31no—
1347C4⋊C4—31no—
1348C4⋊C4—31no—
1349C4⋊C4—92no—
1350C4⋊C4—92no—
1351C4⋊C4—91no—
1352C4⋊C4—92no—
1353C4⋊C4—91no—
1354C4⋊C4—92no—
1355C4⋊C4—92no—
1356C4⋊C4—91no—
1357C4⋊C4—91no—
1358C22⋊C4—32no—
1359C22⋊C4—32no—
1360C22⋊C4—32no—
1361C22⋊C4—32no—
1362C22⋊C4—32no—
1363C22⋊C4—31no—
1364C22⋊C4—31no—
1365C22⋊C4—32no—
1366C22⋊C4—31no—
1367C22⋊C4—31no—
1368C22⋊C4—32no—
1369C22⋊C4—92no—
1370C22⋊C4—91no—
1371C22⋊C4—91no—
1372C22⋊C4—91no—
1373C22⋊C4—92no—
1374C22⋊C4—92no—
1375C22⋊C4—92no—
1376C22⋊C4—92no—
1377C22⋊C4—91no—
1378C22⋊C4—92no—
1379C22⋊C4—92no—
1380C22⋊C4—91no—
1381C22⋊C4—91no—
1382C42—31no—
1383C42—92no—
1384C42—92no—
1385C42C2×D3211yescharacteristic
1386C22×C3—22no—
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—22no—
1390C22×C3—22no—
1391C22×C3—22no—
1392C22×C3—22no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—22no—
1396C22×C3—22no—
1397C22×C3—22no—
1398C22×C3—21no—
1399C22×C3—34no—
1400C22×C3—32no—
1401C22×C3—32no—
1402C22×C3—42no—
1403C22×C3—42no—
1404C22×C3—42no—
1405C22×C3—42no—
1406C22×C3—42no—
1407C22×C3—42no—
1408C22×C3—61no—
1409C22×C3—61no—
1410C22×C3—62no—
1411C22×C3—61no—
1412C22×C3—62no—
1413C22×C3—61no—
1414C22×C3—62no—
1415C22×C3—61no—
1416C22×C3—62no—
1417C22×C3—61no—
1418C22×C3—61no—
1419C22×C3—62no—
1420C22×C3—128no—
1421C22×C3—244no—
1422C22×C3—244no—
1423C22×C3C24×D311yescharacteristic
1424C22×C3C24×D311yescharacteristic
1425C2×D3—21no—
1426C2×D3—22no—
1427C2×D3—21no—
1428C2×D3—21no—
1429C2×D3—21no—
1430C2×D3—22no—
1431C2×D3—21no—
1432C2×D3—22no—
1433C2×D3—21no—
1434C2×D3—22no—
1435C2×D3—21no—
1436C2×D3—22no—
1437C2×D3—48no—
1438C2×D3—61no—
1439C2×D3—61no—
1440C2×D3—61no—
1441C2×D3—61no—
1442C2×D3—61no—
1443C2×D3—61no—
1444C2×D3—61no—
1445C2×D3—61no—
1446C2×D3—61no—
1447C2×D3—61no—
1448C2×D3—61no—
1449C2×D3—61no—
1450C2×D3—84no—
1451C2×D3—84no—
1452C2×D3—121no—
1453C2×D3—121no—
1454C2×D3—121no—
1455C2×D3—121no—
1456C2×D3—121no—
1457C2×D3—121no—
1458C2×D3—124no—
1459C2×D3—124no—
1460C2×D3—244no—
1461C2×D3—244no—
1462C2×D3C2×D3×D414yes—
1463C2×D3C2×D3×D412yes—
1464C2×D3#100412yescomplemented
1465C3×C4—22no—
1466C3×C4—21no—
1467C3×C4—21no—
1468C3×C4—21no—
1469C3×C4—21no—
1470C3×C4—22no—
1471C3×C4—32no—
1472C3×C4—41no—
1473C3×C4—61no—
1474C3×C4—61no—
1475C3×C4—62no—
1476C3×C4—61no—
1477C3×C4—62no—
1478C3×C4—61no—
1479C3×C4C2×D3×D412yes—
1480C3×C4C2×D3×D412yes—
1481Dic3—22no—
1482Dic3—21no—
1483Dic3—21no—
1484Dic3—22no—
1485Dic3—21no—
1486Dic3—21no—
1487Dic3—34no—
1488Dic3—34no—
1489Dic3—64no—
1490Dic3—61no—
1491Dic3—61no—
1492Dic3—61no—
1493Dic3—61no—
1494Dic3—62no—
1495Dic3—62no—
1496Dic3—121no—
1497Dic3—121no—
1498Dic3—122no—
1499Dic3C2×D3×D412yes—
1500C32#348811yescharacteristic, complemented, Sylow
1501C23—31no—
1502C23—32no—
1503C23—31no—
1504C23—32no—
1505C23—31no—
1506C23—64no—
1507C23—64no—
1508C23—64no—
1509C23—64no—
1510C23—91no—
1511C23—91no—
1512C23—122no—
1513C23—122no—
1514C23—122no—
1515C23—122no—
1516C23—122no—
1517C23—182no—
1518C23—182no—
1519C23—184no—
1520C23—361no—
1521C23—362no—
1522C23—362no—
1523C23C22×D3212yes—
1524C23C22×D3212yes—
1525Q8—62no—
1526Q8—94no—
1527Q8—182no—
1528Q8—184no—
1529D4—22no—
1530D4—22no—
1531D4—34no—
1532D4—42no—
1533D4—42no—
1534D4—62no—
1535D4—64no—
1536D4—64no—
1537D4—64no—
1538D4—64no—
1539D4—64no—
1540D4—62no—
1541D4—98no—
1542D4—122no—
1543D4—122no—
1544D4—122no—
1545D4—182no—
1546D4—182no—
1547D4—184no—
1548D4—182no—
1549D4—184no—
1550D4—184no—
1551D4—184no—
1552D4—182no—
1553D4—184no—
1554D4—184no—
1555D4—361no—
1556D4—362no—
1557D4—361no—
1558D4—362no—
1559D4—362no—
1560C2×C4—31no—
1561C2×C4—34no—
1562C2×C4—31no—
1563C2×C4—31no—
1564C2×C4—32no—
1565C2×C4—32no—
1566C2×C4—31no—
1567C2×C4—31no—
1568C2×C4—64no—
1569C2×C4—62no—
1570C2×C4—62no—
1571C2×C4—98no—
1572C2×C4—92no—
1573C2×C4—92no—
1574C2×C4—91no—
1575C2×C4—91no—
1576C2×C4—122no—
1577C2×C4—182no—
1578C2×C4—182no—
1579C2×C4—184no—
1580C2×C4—184no—
1581C2×C4—182no—
1582C2×C4—184no—
1583C2×C4—184no—
1584C2×C4—184no—
1585C2×C4—182no—
1586C2×C4—182no—
1587C2×C4—362no—
1588C2×C4—362no—
1589C2×C4C22×D3211yescharacteristic
1590C2×C4C22×D3211yescharacteristic
1591C2×C4C22×D3211yescharacteristic
1592C2×C3—21no—
1593C2×C3—21no—
1594C2×C3—21no—
1595C2×C3—42no—
1596C2×C3—42no—
1597C2×C3—42no—
1598C2×C3—42no—
1599C2×C3—62no—
1600C2×C3—64no—
1601C2×C3—62no—
1602C2×C3—82no—
1603C2×C3—82no—
1604C2×C3—121no—
1605C2×C3—122no—
1606C2×C3C22×D3×D411yescharacteristic
1607C2×C3C22×D3×D411yescharacteristic
1608C2×C3C2×#100411yescharacteristic
1609C2×C3D3×H(5,𝔽2)11yescharacteristic
1610C2×C3#596611yescharacteristic
1611C2×C3#596611yescharacteristic
1612D3—22no—
1613D3—22no—
1614D3—24no—
1615D3—42no—
1616D3—41no—
1617D3—121no—
1618D3—121no—
1619D3—121no—
1620D3—121no—
1621D3—241no—
1622D3—241no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—32no—
1630C22—34no—
1631C22—32no—
1632C22—61no—
1633C22—62no—
1634C22—61no—
1635C22—61no—
1636C22—62no—
1637C22—61no—
1638C22—61no—
1639C22—62no—
1640C22—61no—
1641C22—62no—
1642C22—62no—
1643C22—61no—
1644C22—128no—
1645C22—181no—
1646C22—181no—
1647C22—181no—
1648C22—181no—
1649C22—181no—
1650C22—181no—
1651C22—244no—
1652C22—244no—
1653C22—364no—
1654C22—724no—
1655C22C23×D3211yescharacteristic
1656C4—21no—
1657C4—21no—
1658C4—32no—
1659C4—61no—
1660C4—61no—
1661C4—62no—
1662C4—62no—
1663C4—61no—
1664C4—61no—
1665C4—94no—
1666C4—181no—
1667C4—181no—
1668C4—182no—
1669C4D32×D412yes—
1670C3—21no—
1671C3#8633111yescharacteristic, complemented
1672C3#8660711yescharacteristic, complemented
1673C2—42no—
1674C2—42no—
1675C2—62no—
1676C2—64no—
1677C2—62no—
1678C2—121no—
1679C2—122no—
1680C2—361no—
1681C2—361no—
1682C2C2×D32×D411yescharacteristic
1683C2D3×#100411yescharacteristic
1684C2#1059667911yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×#127C22
hypercenter#127D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #127

Complements

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

NH ≅ G/Ntype
1. C2×#64313C2semidirect
2. C2×D3×#237C2semidirect
3. #10596189C2semidirect
4. C3×#5717C2semidirect
5. C3×#5715C2semidirect
6. #10595293C2semidirect
7. #10595290C2semidirect
8. #10595289C2semidirect
9. #10595287C2semidirect
10. #10595285C2semidirect
11. D3×#939C2semidirect
12. D3×#938C2semidirect
13. #10595232C2semidirect
14. #10595229C2semidirect
15. #10595225C2semidirect
16. #10595164C2semidirect
17. #10595161C2semidirect
18. #10595132C2semidirect
19. #10595130C2semidirect
20. #10594005C2semidirect
21. #10593997C2semidirect
22. #10593905C2semidirect
23. #10593887C2semidirect
26. C2×#3830C22semidirect
27. C2×#3830C22semidirect
28. C2×C3×#237C22semidirect
29. C2×C3×D3×D4C22semidirect
30. C2×C3×D3×D4C22semidirect
31. C2×C3×D3×D4C22semidirect
32. C2×C3×D3×D4C22semidirect
33. C2×D3×#67C22semidirect
34. C2×D3×#67C22semidirect
35. C2×D3×#67C22semidirect
36. C2×D3×#67C22semidirect
37. C2×D3×#67C22semidirect
38. C22×#625C22semidirect
39. C2×#3805C22semidirect
40. C2×#3805C22semidirect
41. C2×#3804C22semidirect
42. C22×D3×Dic3C22semidirect
45. C2×#3802C22semidirect
46. C2×C4×D32C22semidirect
47. C2×#3798C22semidirect
48. C2×#3796C22semidirect
50. C2×#3795C22semidirect
51. C2×D3×Dic6C22semidirect
52. C32×#127C22semidirect
53. #64149C22semidirect
54. #64148C22semidirect
55. #64148C22semidirect
56. #64147C22semidirect
57. #64147C22semidirect
58. D4×C3⋊Dic3C22semidirect
59. C4×C4⋊(C3⋊D3)C22semidirect
60. C4×#634C22semidirect
61. C3×#940C22semidirect
62. C3×#939C22semidirect
63. C3×#939C22semidirect
64. C3×#938C22semidirect
65. C3×#938C22semidirect
66. C3×#938C22semidirect
67. C3×#937C22semidirect
68. C3×#937C22semidirect
69. C3×#937C22semidirect
70. C3×#937C22semidirect
71. C3×#936C22semidirect
72. C3×#875C22semidirect
73. C3×C4×D12C22semidirect
74. C3×C4×D12C22semidirect
75. C3×#872C22semidirect
76. #63983C22semidirect
77. #63982C22semidirect
78. #63980C22semidirect
79. #63979C22semidirect
80. #63978C22semidirect
81. #63977C22semidirect
82. #63976C22semidirect
83. #67⋊Dic3C22semidirect
84. #67⋊Dic3C22semidirect
85. #63971C22semidirect
86. #63971C22semidirect
87. #63971C22semidirect
88. #63971C22semidirect
89. #63970C22semidirect
90. #63970C22semidirect
91. #63970C22semidirect
92. #63969C22semidirect
93. D3×#217C22semidirect
94. D3×#217C22semidirect
95. #63964C22semidirect
96. #63958C22semidirect
97. #63953C22semidirect
98. #63923C22semidirect
99. #63923C22semidirect
100. #63922C22semidirect
101. D3×(C2×D3)⋊C4C22semidirect
102. #63916C22semidirect
103. #63915C22semidirect
104. #63910C22semidirect
105. #63908C22semidirect
106. #63906C22semidirect
107. C4×#626C22semidirect
108. C4×#626C22semidirect
109. #63902C22semidirect
110. #63902C22semidirect
111. #63899C22semidirect
112. #63895C22semidirect
113. #63893C22semidirect
114. Dic3×D12C22semidirect
115. #63891C22semidirect
116. #63891C22semidirect
117. #63890C22semidirect
118. D3×C4⋊Dic3C22semidirect
119. #63886C22semidirect
120. #63885C22semidirect
121. #63879C22semidirect
122. #63878C22semidirect
123. D3×Dic3⋊C4C22semidirect
124. #63871C22semidirect
125. #63856C22semidirect
126. #63844C22semidirect
144. #5717D3semidirect
145. #5715D3semidirect
254. #3795D4semidirect
331. C2×#237C2×D3semidirect
339. C2×D3×D4C2×D3semidirect
340. C2×D3×D4C2×D3semidirect
341. C2×D3×D4C2×D3semidirect
342. C2×D3×D4C2×D3semidirect
354. C3×#127C2×D3semidirect
355. C3×#127C2×D3semidirect
381. #940C2×D3semidirect
400. #939C2×D3semidirect
401. #939C2×D3semidirect
414. #938C2×D3semidirect
415. #938C2×D3semidirect
416. #938C2×D3semidirect
421. #937C2×D3semidirect
422. #937C2×D3semidirect
423. #937C2×D3semidirect
424. #937C2×D3semidirect
425. #936C2×D3semidirect
497. #875C2×D3semidirect
504. C4×D12C2×D3semidirect
505. C4×D12C2×D3semidirect
506. #872C2×D3semidirect
555. #634C2×D4semidirect
574. C3×D12C2×D4semidirect
578. C3×C4×D3C2×D4semidirect
592. #625C2×D4semidirect
601. D3×Dic3C2×D4semidirect
926. C2×C3×D3H(5,𝔽2)semidirect
972. #127D32semidirect
1222. D12D3×D4semidirect
1242. C4×D3D3×D4semidirect
1464. C2×D3#1004semidirect
1500. C32#3488semidirect
1671. C3#86331semidirect
1672. C3#86607semidirect

Maximal subgroups

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

subgroupindex
C2×#643132
C2×D3×#2372
#105961892
C3×#57172
C3×#57152
#105952932
#105952902
#105952892
#105952872
#105952852
D3×#9392
D3×#9382
#105952322
#105952292
#105952252
#105951642
#105951612
#105951322
#105951302
#105940052
#105939972
#105939052
#105938872
#866073
#863313