Finite Group Databasebeta

← #11904683

Subgroups — #11904683

Order 1152.

3483 conjugacy classes of subgroups.

The subgroup lattice has 1687 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64314C211yesmaximal, characteristic, complemented
2C2×D3×#235C211yesmaximal, characteristic, complemented
3#10596083C211yesmaximal, characteristic, complemented
4C3×D3×#121C211yesmaximal, characteristic, complemented
5C3×#5599C211yesmaximal, characteristic, complemented
6#10595299C212yesmaximal, complemented
7#10595297C211yesmaximal, characteristic, complemented
8#10595293C212yesmaximal, complemented
9#10595291C212yesmaximal, complemented
10#10595233C211yesmaximal, characteristic, complemented
11#10595157C211yesmaximal, characteristic, complemented
12#10595140C212yesmaximal, complemented
13#10595078C211yesmaximal, characteristic, complemented
14#10595006C211yesmaximal, characteristic, complemented
15#10595002C211yesmaximal, characteristic, complemented
16#10594618C211yesmaximal, characteristic, complemented
17#10594522C211yesmaximal, characteristic, complemented
18#10594382C211yesmaximal, characteristic, complemented
19#10594327C211yesmaximal, characteristic, complemented
20#10594286C212yesmaximal, complemented
21#10594278C212yesmaximal, complemented
22#10594265C212yesmaximal, complemented
23#10594186C212yesmaximal, complemented
24#86769—31nomaximal
25#85949—31nomaximal
26C2×D4×C3⋊D3C2211yescharacteristic, complemented
27C2×#3828C2211yescharacteristic, complemented
28C2×C3×#237C2211yescharacteristic, complemented
29C2×C3×D3×D4C2211yescharacteristic, complemented
30C2×C3×D3×D4C2212yescomplemented
31C2×C3×#235C2211yescharacteristic, complemented
32C22×C3×C4×D3C2211yescharacteristic, complemented
33C2×#3811C2212yescomplemented
34C2×#3811C2212yescomplemented
35C2×D3×#67C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C22×#626C2212yescomplemented
38C2×#3804C2212yescomplemented
39C2×#3804C2212yescomplemented
40#64314—28no—
41D3×#235—28no—
42C2×#3802C2212yescomplemented
43C2×D3×D12C2211yescharacteristic, complemented
44C2×D3×D12C2211yescharacteristic, complemented
45C2×C4×D32C2212yescomplemented
46C2×#3799C2211yescharacteristic
47C2×#3798C2212yescomplemented
48C2×#3798C2211yescharacteristic, complemented
49C2×#3796C2211yescharacteristic, complemented
50C2×#3795C2211yescharacteristic, complemented
51C2×D3×Dic6C2211yescharacteristic, complemented
52C32×#121C2211yescharacteristic, complemented
53#64147C2212yescomplemented
54#64146C2212yescomplemented
55#64145C2211yescharacteristic, complemented
56C4×#638C2211yescharacteristic, complemented
57#64106C2211yescharacteristic, complemented
58#64102C2211yescharacteristic, complemented
59#64092C2212yescomplemented
60C22⋊C4×C3⋊D3C2212yescomplemented
61C3×#940C2211yescharacteristic, complemented
62C3×#940C2212yescomplemented
63C3×#939C2212yescomplemented
64C3×#939C2212yescomplemented
65C3×#938C2211yescharacteristic, complemented
66C3×#930C2211yescharacteristic, complemented
67C3×C4×#67C2211yescharacteristic, complemented
68C3×#895C2211yescharacteristic, complemented
69C3×#895C2211yescharacteristic, complemented
70C3×D3×C4⋊C4C2211yescharacteristic, complemented
71C3×#887C2211yescharacteristic, complemented
72C3×#884C2212yescomplemented
73C3×#884C2212yescomplemented
74C3×#67⋊C4C2212yescomplemented
75C3×D3×C22⋊C4C2212yescomplemented
76#63983C2212yescomplemented
77#63983C2212yescomplemented
78#63981C2212yescomplemented
79#63979C2212yescomplemented
80#63978C2211yescharacteristic, complemented
81#63977C2211yescharacteristic, complemented
82#63976C2212yescomplemented
83#63976C2212yescomplemented
84#63976C2211yescharacteristic, complemented
85Dic3×#67C2212yescomplemented
86#63970C2212yescomplemented
87#63970C2212yescomplemented
88#63970C2212yescomplemented
89#63970C2212yescomplemented
90#63964C2211yescharacteristic, complemented
91#63964C2212yescomplemented
92#63959C2212yescomplemented
93#63958C2212yescomplemented
94#63958C2212yescomplemented
95#63922C2212yescomplemented
96#63922C2212yescomplemented
97#63921C2212yescomplemented
98#63916C2211yescharacteristic, complemented
99#63914C2211yescharacteristic, complemented
100#63912C2212yescomplemented
101#63908C2212yescomplemented
102#63906C2212yescomplemented
103#63906C2212yescomplemented
104#63906C2211yescharacteristic, complemented
105#63905C2211yescharacteristic, complemented
106#63904C2212yescomplemented
107C4×#626C2212yescomplemented
108C4×#626C2211yescharacteristic, complemented
109C4×#625C2211yescharacteristic, complemented
110#63894C2211yescharacteristic, complemented
111#63893C2212yescomplemented
112#63893C2212yescomplemented
113Dic3×D12C2212yescomplemented
114#63886C2212yescomplemented
115#63886C2212yescomplemented
116#63883C2212yescomplemented
117#63879C2212yescomplemented
118#63860C2211yescharacteristic, complemented
119#63857C2211yescharacteristic, complemented
120#63855C2211yescharacteristic, complemented
121#63853C2212yescomplemented
122#63852C2212yescomplemented
123#63851C2211yescharacteristic, complemented
124#63850C2211yescharacteristic, complemented
125#63843C2211yescharacteristic, complemented
126#63836C2212yescomplemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C2×#1004—31no—
130C22×#235—31no—
131C3×#550—31no—
132C2×C3×#121—31no—
133#5834—31no—
134#5831—31no—
135#5805—31no—
136D4×#67—32no—
137D4×#67—32no—
138#5791—31no—
139#5717—32no—
140#5717—31no—
141#5715—31no—
142#5715—32no—
143#5612—31no—
144#5612—31no—
145#5612—31no—
146#5612—32no—
147#5612—61no—
148#5609—32no—
149#5609—31no—
150#5609—31no—
151#5609—31no—
152#5608—32no—
153#5608—32no—
154#5608—31no—
155#5607—32no—
156#5606—32no—
157D3×#121—32no—
158D3×#121—32no—
159D3×#121D311yescharacteristic, complemented
160#5599—31no—
161#5599D311yescharacteristic, complemented
162#5598—31no—
163#5598—31no—
164#5576—31no—
165#5574—31no—
166#5550—31no—
167#5550—32no—
168#5547—31no—
169#5547—32no—
170#5510—31no—
171#5504—31no—
172#5490—32no—
173#5490—32no—
174C23×C3⋊D3C2312yes—
175C23×C3×D3C2311yescharacteristic
176C23×C3×D3C2312yes—
177C22×D32C2312yes—
178C22×D32C2312yes—
179C2×C32×D4C2311yescharacteristic
180C2×C32×D4C2312yes—
181C22×C32×C4C2311yescharacteristic
182C2×#638C2312yes—
183C2×#638C2312yes—
184C2×#638C2311yescharacteristic
185D4×C3⋊D3—24no—
186#3828—24no—
187C2×C4⋊(C3⋊D3)C2311yescharacteristic
188C2×C4×C3⋊D3C2311yescharacteristic
189C2×C4×C3⋊D3C2312yes—
190C2×C4×C3⋊D3C2312yes—
191C2×#634C2311yescharacteristic
192C2×C3×#67C2312yes—
193C2×C3×#67C2312yes—
194C2×C3×#67C2312yes—
195C2×C3×#67C2312yes—
196C2×C3×#67C2312yes—
197C2×C3×#67C2312yes—
198C2×C3×#67C2311yescharacteristic
199C2×C3×#67C2312yes—
200C22×C3×Dic3C2312yes—
201C22×C3×Dic3C2311yescharacteristic
202C3×#237—24no—
203C3×D3×D4—24no—
204C3×D3×D4—44no—
205C3×#235—24no—
206C2×C3×D12C2312yes—
207C2×C3×D12C2311yescharacteristic
208C2×C3×D12C2311yescharacteristic
209C2×C3×D12C2312yes—
210C2×C3×C4×D3—24no—
211C2×C3×C4×D3C2311yescharacteristic
212C2×C3×C4×D3C2312yes—
213C2×C3×C4×D3C2311yescharacteristic
214C2×C3×C4×D3C2311yescharacteristic
215C2×C3×C4×D3C2311yescharacteristic
216C2×C3×C4×D3C2312yes—
217C2×C3×C4×D3C2311yescharacteristic
218C2×C3×Dic6C2311yescharacteristic
219#3811—28no—
220#3811—44no—
221D3×#67—28no—
222D3×#67—28no—
223C2×#627C2312yes—
224C2×#627C2311yescharacteristic
225C2×#626—28no—
226C2×#626C2312yes—
227C2×#626C2312yes—
228C2×#626C2311yescharacteristic
229C2×#626C2311yescharacteristic
230C2×#626C2312yes—
231C2×#626C2311yescharacteristic
232C2×#626C2312yes—
233C2×#626C2312yes—
234C2×#625C2312yes—
235C2×#625C2311yescharacteristic
236C2×#625C2311yescharacteristic
237C2×#625C2312yes—
238C2×#625C2312yes—
239C2×#624C2312yes—
240C2×#624C2312yes—
241#3804—28no—
242#3804—28no—
243C2×D3×Dic3C2312yes—
244C2×D3×Dic3C2312yes—
245C2×D3×Dic3C2312yes—
246#3802—44no—
247D3×D12—24no—
248D3×D12—24no—
249C4×D32—28no—
250#3799D418yescomplemented
251#3798—24no—
252#3798—28no—
253#3796—24no—
254#3795—24no—
255D3×Dic6—24no—
256C32×C4⋊C4C2311yescharacteristic
257C32×C22⋊C4C2312yes—
258#3757C2312yes—
259#3757C2312yes—
260#3757C2311yescharacteristic
261#3752C2311yescharacteristic
262#3752C2312yes—
263#3752C2312yes—
264C4⋊(C3⋊Dic3)C2312yes—
265#3750C2311yescharacteristic
266C4×C3⋊Dic3C2311yescharacteristic
267C3×#217C2312yes—
268C3×#217C2311yescharacteristic
269C3×(C2×D3)⋊C4C2312yes—
270C3×(C2×D3)⋊C4C2312yes—
271C3×(C2×D3)⋊C4C2312yes—
272C3×(C2×D3)⋊C4C2311yescharacteristic
273C3×C4⋊Dic3C2311yescharacteristic
274C3×Dic3⋊C4C2311yescharacteristic
275C3×Dic3⋊C4C2312yes—
276C3×Dic3⋊C4C2312yes—
277C3×C4×Dic3C2312yes—
278C3×C4×Dic3C2311yescharacteristic
279#3724C2311yescharacteristic
280Dic3⋊Dic3C2311yescharacteristic
281Dic3⋊Dic3C2312yes—
282Dic3⋊Dic3C2312yes—
283Dic3⋊Dic3C2311yescharacteristic
284Dic3⋊Dic3C2311yescharacteristic
285#3722C2312yes—
286#3722C2311yescharacteristic
287(C2×D3)⋊Dic3C2311yescharacteristic
288(C2×D3)⋊Dic3C2311yescharacteristic
289(C2×D3)⋊Dic3C2311yescharacteristic
290(C2×D3)⋊Dic3C2312yes—
291(C2×D3)⋊Dic3C2311yescharacteristic
292(C2×D3)⋊Dic3C2312yes—
293(C2×D3)⋊Dic3C2312yes—
294(C2×D3)⋊Dic3C2312yes—
295(C2×D3)⋊Dic3C2311yescharacteristic
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—31no—
299C2×C3×#41—31no—
300C22×C3×D4—31no—
301C22×C3×D4—32no—
302C23×C3×C4—31no—
303C22×#67—32no—
304C22×#67—32no—
305C22×#67—32no—
306#1009—68no—
307D3×#41—68no—
308C2×#239—31no—
309C2×#239—31no—
310C2×D3×Q8—31no—
311#1004—68no—
312C2×#237—32no—
313C2×#237—32no—
314C2×#237—31no—
315C2×#237—31no—
316C2×#237C2×D311yescharacteristic, complemented
317C2×D3×D4—32no—
318C2×D3×D4—32no—
319C2×D3×D4—31no—
320C2×D3×D4—31no—
321C2×D3×D4—32no—
322C2×D3×D4—32no—
323C2×D3×D4—32no—
324C2×D3×D4—32no—
325C2×D3×D4—32no—
326C2×D3×D4—32no—
327C2×D3×D4—31no—
328C2×D3×D4—31no—
329C2×D3×D4—61no—
330C2×D3×D4C2×D311yescharacteristic, complemented
331C2×D3×D4C2×D312yescomplemented
332C2×#235—31no—
333C2×#235—31no—
334C2×#235—32no—
335C2×#235—32no—
336C2×#235—31no—
337C2×#235—32no—
338C2×#235—31no—
339C2×#235—32no—
340C2×#235—31no—
341C2×#235—31no—
342C2×#235—61no—
343C2×#235—68no—
344C2×#235C2×D311yescharacteristic, complemented
345C22×D12—32no—
346C22×D12—31no—
347C22×D12—31no—
348C22×C4×D3—32no—
349C22×C4×D3—32no—
350C22×C4×D3C2×D311yescharacteristic, complemented
351C22×Dic6—31no—
352C3×#127—32no—
353C3×#127—31no—
354C3×#121—21no—
355C3×#121—31no—
356C3×#121—32no—
357C3×#121—32no—
358C3×#121—31no—
359C3×#121—31no—
360C3×#121—31no—
361C3×#121—32no—
362C3×#121—32no—
363C3×#121C2×D311yescharacteristic, complemented
364C3×#121C2×D311yescharacteristic, complemented
365C3×C4×Q8—31no—
366C3×C4×D4—31no—
367C3×C4×D4—32no—
368C2×C3×C4⋊C4—31no—
369C2×C3×C22⋊C4—32no—
370#953—32no—
371#953—32no—
372#953—31no—
373#953—31no—
374Q8×Dic3—31no—
375#940—32no—
376#940—32no—
377#940—31no—
378#940—31no—
379#940C2×D312yescomplemented
380#940C2×D311yescharacteristic, complemented
381#939—32no—
382#939—32no—
383#939—32no—
384#939—32no—
385#939—31no—
386#939—32no—
387#939—32no—
388#939C2×D312yescomplemented
389#939C2×D312yescomplemented
390#938—32no—
391#938—32no—
392#938—32no—
393#938—32no—
394#938—32no—
395#938—32no—
396#938—32no—
397#938—32no—
398#938—32no—
399#938—31no—
400#938—62no—
401#938C2×D311yescharacteristic, complemented
402#937—32no—
403#937—32no—
404#937—31no—
405#937—32no—
406#937—32no—
407#937—32no—
408#937—32no—
409#937—32no—
410#937—32no—
411#937—32no—
412#937—32no—
413#937—32no—
414#937—62no—
415#936—31no—
416#936—31no—
417#936—32no—
418#936—31no—
419#936—61no—
420D4×Dic3—32no—
421D4×Dic3—32no—
422#930—31no—
423#930—32no—
424#930—32no—
425#930—31no—
426#930—32no—
427#930C2×D311yescharacteristic, complemented
428#929—31no—
429#929—31no—
430C4×#67—31no—
431C4×#67—31no—
432C4×#67—32no—
433C4×#67—31no—
434C4×#67—31no—
435C4×#67—32no—
436C4×#67—32no—
437C4×#67—32no—
438C4×#67—31no—
439C4×#67—61no—
440C4×#67C2×D311yescharacteristic, complemented
441#926—31no—
442#924—31no—
443#924—32no—
444#924—31no—
445#924—31no—
446#897—31no—
447#897—31no—
448#897—31no—
449#897—32no—
450#897—32no—
451#897—61no—
452#896—31no—
453#895—32no—
454#895—31no—
455#895—32no—
456#895C2×D311yescharacteristic, complemented
457#895C2×D311yescharacteristic, complemented
458#894—31no—
459#894—32no—
460#893—32no—
461#893—31no—
462#893—31no—
463#893—31no—
464#893—61no—
465#892—32no—
466D3×C4⋊C4—32no—
467D3×C4⋊C4—32no—
468D3×C4⋊C4C2×D311yescharacteristic, complemented
469#887—31no—
470#887C2×D311yescharacteristic, complemented
471#885—32no—
472#885—32no—
473#884—32no—
474#884—32no—
475#884—32no—
476#884—31no—
477#884—32no—
478#884—32no—
479#884—32no—
480#884C2×D312yescomplemented
481#884C2×D312yescomplemented
482#883—31no—
483#883—32no—
484#883—32no—
485#883—32no—
486#883—62no—
487#882—31no—
488#882—32no—
489#882—32no—
490#882—32no—
491#67⋊C4—32no—
492#67⋊C4C2×D312yescomplemented
493D3×C22⋊C4—32no—
494D3×C22⋊C4—32no—
495D3×C22⋊C4—32no—
496D3×C22⋊C4—32no—
497D3×C22⋊C4—62no—
498D3×C22⋊C4C2×D312yescomplemented
499#878—32no—
500#878—31no—
501#878—32no—
502#878—32no—
503#875—31no—
504#875—32no—
505C4×D12—32no—
506C4×D12—31no—
507C4×D12—32no—
508C4×D12—31no—
509#872—31no—
510#872—32no—
511C23×C32C2412yes—
512C23×C32C2411yescharacteristic
513C22×C3⋊D3—24no—
514C22×C3⋊D3—42no—
515C22×C3⋊D3—42no—
516C22×C3⋊D3C2411yescharacteristic
517C22×C3⋊D3C2412yes—
518C22×C3×D3—22no—
519C22×C3×D3—22no—
520C22×C3×D3—24no—
521C22×C3×D3—41no—
522C22×C3×D3—42no—
523C22×C3×D3—42no—
524C22×C3×D3C2411yescharacteristic
525C22×C3×D3C2412yes—
526C22×C3×D3C2412yes—
527C22×C3×D3C2411yescharacteristic
528C22×C3×D3C2411yescharacteristic
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—41no—
544C2×C3⋊Dic3C2411yescharacteristic
545C2×C3⋊Dic3C2411yescharacteristic
546C2×C3⋊Dic3C2412yes—
547C2×C3⋊Dic3C2411yescharacteristic
548C4⋊(C3⋊D3)C2×D414yescomplemented
549C4×C3⋊D3—24no—
550C4×C3⋊D3—22no—
551C4×C3⋊D3—42no—
552#634—22no—
553C3×#67—24no—
554C3×#67—24no—
555C3×#67—24no—
556C3×#67—24no—
557C3×#67—42no—
558C3×#67—42no—
559C3×#67—42no—
560C3×#67—41no—
561C2×C3×Dic3—22no—
562C2×C3×Dic3—24no—
563C2×C3×Dic3C2412yes—
564C2×C3×Dic3C2411yescharacteristic
565C2×C3×Dic3C2411yescharacteristic
566C2×C3×Dic3C2411yescharacteristic
567C2×C3×Dic3C2411yescharacteristic
568C2×C3×Dic3C2412yes—
569C2×C3×Dic3C2411yescharacteristic
570C3×D12—24no—
571C3×D12—22no—
572C3×D12—22no—
573C3×D12—42no—
574C3×C4×D3—22no—
575C3×C4×D3—22no—
576C3×C4×D3—22no—
577C3×C4×D3—24no—
578C3×C4×D3—22no—
579C3×C4×D3—42no—
580C3×C4×D3C2×D414yescomplemented
581C3×Dic6C2×D414yescomplemented
582#627—24no—
583#627—22no—
584#626—24no—
585#626—24no—
586#626—22no—
587#626—22no—
588#626—24no—
589#626—22no—
590#626—42no—
591#626C2×D418yescomplemented
592#625—24no—
593#625—22no—
594#625—22no—
595#625—42no—
596#625—42no—
597#624—42no—
598#624C2×D418yescomplemented
599D3×Dic3—24no—
600D3×Dic3—24no—
601D3×Dic3—24no—
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—31no—
605#550—91no—
606#548—91no—
607#548—91no—
608#546—92no—
609#546—92no—
610#546—91no—
611#546—91no—
612D42—91no—
613D42—91no—
614D42—92no—
615D42—92no—
616#537—91no—
617#537—92no—
618#535—92no—
619#535—91no—
620#525—92no—
621#525—91no—
622C2×#121—31no—
623C2×#121—92no—
624#520—91no—
625C24×C3—31no—
626C24×C3—32no—
627C23×D3—32no—
628C23×D3—32no—
629C23×D3—32no—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3—62no—
634C23×D3C22×D311yescharacteristic
635C23×D3C22×D312yes—
636C3×#41—64no—
637C3×#41—64no—
638C2×C3×Q8—31no—
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—31no—
646C2×C3×D4—32no—
647C2×C3×D4—32no—
648C2×C3×D4—32no—
649C2×C3×D4—32no—
650C2×C3×D4—31no—
651C2×C3×D4—31no—
652C2×C3×D4—32no—
653C2×C3×D4—64no—
654C2×C3×D4—124no—
655C2×C3×D4C22×D311yescharacteristic
656C2×C3×D4C22×D311yescharacteristic
657C2×C3×D4C22×D312yes—
658C2×C3×D4C22×D312yes—
659C22×C3×C4—21no—
660C22×C3×C4—31no—
661C22×C3×C4—32no—
662C22×C3×C4—31no—
663C22×C3×C4—31no—
664C22×C3×C4—31no—
665C22×C3×C4—31no—
666C22×C3×C4—32no—
667C22×C3×C4—31no—
668C22×C3×C4—32no—
669C22×C3×C4—64no—
670C22×C3×C4C22×D311yescharacteristic
671C22×C3×C4C22×D311yescharacteristic
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—32no—
675C2×#67—32no—
676C2×#67—31no—
677C2×#67—31no—
678C2×#67—32no—
679C2×#67—31no—
680C2×#67—31no—
681C2×#67—32no—
682C2×#67—31no—
683C2×#67—31no—
684C2×#67—32no—
685C2×#67—32no—
686C2×#67—32no—
687C2×#67—32no—
688C2×#67—32no—
689C2×#67—32no—
690C2×#67—32no—
691C2×#67—32no—
692C2×#67—31no—
693C2×#67—31no—
694C2×#67—31no—
695C2×#67—32no—
696C2×#67—62no—
697C2×#67—61no—
698C2×#67—62no—
699C2×#67—68no—
700C2×#67—68no—
701C2×#67—68no—
702C2×#67C22×D312yes—
703C2×#67C22×D312yes—
704C2×#67C22×D312yes—
705C2×#67C22×D312yes—
706C2×#67C22×D312yes—
707C2×#67C22×D312yes—
708C2×#67C22×D312yes—
709C2×#67C22×D311yescharacteristic
710C22×Dic3—32no—
711C22×Dic3—32no—
712C22×Dic3—32no—
713C22×Dic3C22×D312yes—
714C22×Dic3C22×D311yescharacteristic
715#239—38no—
716#239—64no—
717D3×Q8—64no—
718#237—24no—
719#237—68no—
720#237—68no—
721#237—64no—
722#237—64no—
723D3×D4—24no—
724D3×D4—44no—
725D3×D4—64no—
726D3×D4—64no—
727D3×D4—68no—
728D3×D4—68no—
729D3×D4—64no—
730D3×D4—64no—
731D3×D4—68no—
732D3×D4—68no—
733D3×D4—124no—
734D3×D4—124no—
735D3×D4—124no—
736D3×D4—124no—
737D3×D4—124no—
738#235—24no—
739#235—38no—
740#235—68no—
741#235—68no—
742#235—64no—
743#235—68no—
744#235—68no—
745#235—64no—
746#235—64no—
747#235—64no—
748#235—64no—
749#235—124no—
750C2×D12—32no—
751C2×D12—31no—
752C2×D12—31no—
753C2×D12—31no—
754C2×D12—32no—
755C2×D12—32no—
756C2×D12—32no—
757C2×D12—31no—
758C2×D12—31no—
759C2×D12—32no—
760C2×D12—61no—
761C2×D12—64no—
762C2×D12—64no—
763C2×D12—68no—
764C2×D12C22×D312yes—
765C2×D12C22×D311yescharacteristic
766C2×D12C22×D311yescharacteristic
767C2×D12C22×D312yes—
768C2×C4×D3—24no—
769C2×C4×D3—32no—
770C2×C4×D3—32no—
771C2×C4×D3—32no—
772C2×C4×D3—32no—
773C2×C4×D3—32no—
774C2×C4×D3—31no—
775C2×C4×D3—32no—
776C2×C4×D3—32no—
777C2×C4×D3—31no—
778C2×C4×D3—32no—
779C2×C4×D3—32no—
780C2×C4×D3—32no—
781C2×C4×D3—32no—
782C2×C4×D3—62no—
783C2×C4×D3—61no—
784C2×C4×D3—62no—
785C2×C4×D3—68no—
786C2×C4×D3—68no—
787C2×C4×D3C22×D311yescharacteristic
788C2×C4×D3C22×D311yescharacteristic
789C2×C4×D3C22×D312yes—
790C2×C4×D3C22×D311yescharacteristic
791C2×C4×D3C22×D311yescharacteristic
792C2×C4×D3C22×D312yes—
793C2×C4×D3C22×D311yescharacteristic
794C2×Dic6—31no—
795C2×Dic6—31no—
796C2×Dic6—32no—
797C2×Dic6—31no—
798C2×Dic6—32no—
799C2×Dic6—31no—
800C2×Dic6—61no—
801C2×Dic6—64no—
802C2×Dic6C22×D311yescharacteristic
803C3×C4⋊C4—21no—
804C3×C4⋊C4—31no—
805C3×C4⋊C4—32no—
806C3×C4⋊C4—32no—
807C3×C4⋊C4—31no—
808C3×C4⋊C4C22×D311yescharacteristic
809C3×C4⋊C4C22×D311yescharacteristic
810C3×C22⋊C4—22no—
811C3×C22⋊C4—31no—
812C3×C22⋊C4—32no—
813C3×C22⋊C4—32no—
814C3×C22⋊C4—32no—
815C3×C22⋊C4—31no—
816C3×C22⋊C4—32no—
817C3×C22⋊C4C22×D312yes—
818C3×C22⋊C4C22×D312yes—
819C3×C42—32no—
820C3×C42—31no—
821#217—32no—
822#217—31no—
823#217—32no—
824#217—32no—
825#217—32no—
826#217—31no—
827#217—32no—
828#217—32no—
829#217—32no—
830#217—32no—
831#217—31no—
832#217—31no—
833#217—31no—
834#217—31no—
835#217—31no—
836#217—62no—
837#217—62no—
838#217—61no—
839#217C22×D312yes—
840#217C22×D311yescharacteristic
841(C2×D3)⋊C4—31no—
842(C2×D3)⋊C4—31no—
843(C2×D3)⋊C4—31no—
844(C2×D3)⋊C4—32no—
845(C2×D3)⋊C4—32no—
846(C2×D3)⋊C4—32no—
847(C2×D3)⋊C4—32no—
848(C2×D3)⋊C4—31no—
849(C2×D3)⋊C4—31no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—32no—
852(C2×D3)⋊C4—31no—
853(C2×D3)⋊C4—31no—
854(C2×D3)⋊C4—32no—
855(C2×D3)⋊C4—32no—
856(C2×D3)⋊C4—32no—
857(C2×D3)⋊C4—31no—
858(C2×D3)⋊C4—31no—
859(C2×D3)⋊C4—32no—
860(C2×D3)⋊C4—61no—
861(C2×D3)⋊C4—62no—
862(C2×D3)⋊C4—62no—
863(C2×D3)⋊C4C22×D312yes—
864(C2×D3)⋊C4C22×D311yescharacteristic
865(C2×D3)⋊C4C22×D312yes—
866(C2×D3)⋊C4C22×D312yes—
867C4⋊Dic3—32no—
868C4⋊Dic3—32no—
869C4⋊Dic3—31no—
870C4⋊Dic3—32no—
871C4⋊Dic3—32no—
872C4⋊Dic3—31no—
873C4⋊Dic3—31no—
874C4⋊Dic3—62no—
875C4⋊Dic3C22×D311yescharacteristic
876Dic3⋊C4—31no—
877Dic3⋊C4—31no—
878Dic3⋊C4—31no—
879Dic3⋊C4—31no—
880Dic3⋊C4—31no—
881Dic3⋊C4—31no—
882Dic3⋊C4—32no—
883Dic3⋊C4—31no—
884Dic3⋊C4—32no—
885Dic3⋊C4—61no—
886Dic3⋊C4C22×D312yes—
887Dic3⋊C4C22×D312yes—
888Dic3⋊C4C22×D311yescharacteristic
889C4×Dic3—31no—
890C4×Dic3—31no—
891C4×Dic3—32no—
892C4×Dic3—32no—
893C4×Dic3—61no—
894C4×Dic3C22×D312yes—
895C4×Dic3C22×D311yescharacteristic
896C22×C32—21no—
897C22×C32—22no—
898C22×C32—22no—
899C22×C32—21no—
900C22×C32—21no—
901C22×C32—22no—
902C22×C32C2511yescharacteristic
903C2×C3⋊D3—21no—
904C2×C3⋊D3—22no—
905C2×C3⋊D3—22no—
906C2×C3⋊D3—21no—
907C2×C3⋊D3—21no—
908C2×C3⋊D3—84no—
909C2×C3⋊D3C22×D414yes—
910C2×C3×D3—21no—
911C2×C3×D3—21no—
912C2×C3×D3—21no—
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—22no—
920C2×C3×D3—22no—
921C2×C3×D3—22no—
922C2×C3×D3—21no—
923C2×C3×D3—44no—
924C2×C3×D3—84no—
925C2×C3×D3C22×D412yes—
926C2×C3×D3H(5,𝔽2)12yescomplemented
927D32—48no—
928D32—84no—
929C32×C4—21no—
930C32×C4—22no—
931C32×C4C22×D412yes—
932C3⋊Dic3—22no—
933C3⋊Dic3—21no—
934C3⋊Dic3—21no—
935C3⋊Dic3—21no—
936C3×Dic3—21no—
937C3×Dic3—21no—
938C3×Dic3—21no—
939C3×Dic3—22no—
940C3×Dic3—21no—
941C3×Dic3C22×D412yes—
942C3×Dic3C22×D414yes—
943H(5,𝔽2)—188no—
944C2×#41—31no—
945C2×#41—31no—
946C2×#41—91no—
947C2×#41—92no—
948C2×#41—92no—
949C2×#41—91no—
950C2×#41—92no—
951C2×#41—91no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41—188no—
955C22×Q8—91no—
956C22×D4—31no—
957C22×D4—32no—
958C22×D4—91no—
959C22×D4—91no—
960C22×D4—92no—
961C22×D4—92no—
962C22×D4—92no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—92no—
966C22×D4—91no—
967C23×C4—31no—
968C23×C4—92no—
969#127—32no—
970#127—31no—
971#127—92no—
972#127—91no—
973#124—92no—
974#124—91no—
975#124—92no—
976#124—91no—
977#123—92no—
978#123—91no—
979#123—91no—
980#123—92no—
981C22⋊Q8—92no—
982C22⋊Q8—92no—
983C22⋊Q8—91no—
984C22⋊Q8—92no—
985C22⋊Q8—91no—
986C22⋊Q8—91no—
987C22⋊Q8—91no—
988#121—32no—
989#121—31no—
990#121—32no—
991#121—31no—
992#121—31no—
993#121—31no—
994#121—32no—
995#121—32no—
996#121—92no—
997#121—91no—
998#121—92no—
999#121—92no—
1000#121—92no—
1001#121—92no—
1002#121—92no—
1003#121—92no—
1004#121—91no—
1005#121—91no—
1006#121—92no—
1007#121—92no—
1008#121—92no—
1009#121—92no—
1010#121—92no—
1011#121—92no—
1012#121D3211yescharacteristic, complemented
1013#120—92no—
1014#120—92no—
1015#120—92no—
1016#120—91no—
1017#120—92no—
1018#120—92no—
1019#120—91no—
1020#120—92no—
1021#120—92no—
1022#120—92no—
1023C4×Q8—31no—
1024C4×Q8—91no—
1025C4×D4—31no—
1026C4×D4—32no—
1027C4×D4—91no—
1028C4×D4—92no—
1029C4×D4—91no—
1030C4×D4—92no—
1031C4×D4—92no—
1032C4×D4—92no—
1033C4×D4—91no—
1034C4×D4—92no—
1035C4×D4—91no—
1036C4×D4—91no—
1037#117—92no—
1038#117—91no—
1039C2×C4⋊C4—31no—
1040C2×C4⋊C4—92no—
1041C2×C22⋊C4—32no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C23×C3—22no—
1045C23×C3—21no—
1046C23×C3—31no—
1047C23×C3—31no—
1048C23×C3—31no—
1049C23×C3—32no—
1050C23×C3—32no—
1051C23×C3—62no—
1052C23×C3—62no—
1053C23×C3—64no—
1054C23×C3—121no—
1055C23×C3—122no—
1056C23×C3—122no—
1057C23×C3C23×D312yes—
1058C23×C3C23×D312yes—
1059C23×C3C23×D311yescharacteristic
1060C23×C3C23×D311yescharacteristic
1061C22×D3—22no—
1062C22×D3—22no—
1063C22×D3—24no—
1064C22×D3—32no—
1065C22×D3—32no—
1066C22×D3—31no—
1067C22×D3—31no—
1068C22×D3—41no—
1069C22×D3—42no—
1070C22×D3—42no—
1071C22×D3—61no—
1072C22×D3—62no—
1073C22×D3—64no—
1074C22×D3—64no—
1075C22×D3—64no—
1076C22×D3—64no—
1077C22×D3—64no—
1078C22×D3—64no—
1079C22×D3—64no—
1080C22×D3—64no—
1081C22×D3—124no—
1082C22×D3—122no—
1083C22×D3—122no—
1084C22×D3—122no—
1085C22×D3—122no—
1086C22×D3—122no—
1087C22×D3—122no—
1088C22×D3—122no—
1089C22×D3—122no—
1090C22×D3—122no—
1091C22×D3—122no—
1092C22×D3—124no—
1093C22×D3—242no—
1094C22×D3C23×D311yescharacteristic
1095C22×D3C23×D312yes—
1096C22×D3C23×D312yes—
1097C22×D3C23×D311yescharacteristic
1098C22×D3C23×D311yescharacteristic
1099C3×Q8—34no—
1100C3×D4—22no—
1101C3×D4—22no—
1102C3×D4—42no—
1103C3×D4—42no—
1104C3×D4—42no—
1105C3×D4—64no—
1106C3×D4—64no—
1107C3×D4—64no—
1108C3×D4—64no—
1109C3×D4—64no—
1110C3×D4—62no—
1111C3×D4—62no—
1112C3×D4—82no—
1113C3×D4—122no—
1114C3×D4—122no—
1115C3×D4—121no—
1116C3×D4—122no—
1117C3×D4—122no—
1118C2×C3×C4—22no—
1119C2×C3×C4—22no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—22no—
1123C2×C3×C4—32no—
1124C2×C3×C4—31no—
1125C2×C3×C4—34no—
1126C2×C3×C4—32no—
1127C2×C3×C4—31no—
1128C2×C3×C4—31no—
1129C2×C3×C4—31no—
1130C2×C3×C4—31no—
1131C2×C3×C4—42no—
1132C2×C3×C4—62no—
1133C2×C3×C4—64no—
1134C2×C3×C4—62no—
1135C2×C3×C4—64no—
1136C2×C3×C4—62no—
1137C2×C3×C4—62no—
1138C2×C3×C4—62no—
1139C2×C3×C4—122no—
1140C2×C3×C4C23×D312yes—
1141C2×C3×C4C23×D311yescharacteristic
1142C2×C3×C4C23×D311yescharacteristic
1143C2×C3×C4C23×D312yes—
1144C2×C3×C4C23×D311yescharacteristic
1145C2×C3×C4C23×D311yescharacteristic
1146#67—24no—
1147#67—24no—
1148#67—24no—
1149#67—24no—
1150#67—38no—
1151#67—42no—
1152#67—42no—
1153#67—42no—
1154#67—41no—
1155#67—64no—
1156#67—64no—
1157#67—62no—
1158#67—62no—
1159#67—64no—
1160#67—62no—
1161#67—62no—
1162#67—64no—
1163#67—64no—
1164#67—64no—
1165#67—64no—
1166#67—62no—
1167#67—64no—
1168#67—62no—
1169#67—62no—
1170#67—64no—
1171#67—124no—
1172#67—124no—
1173#67—122no—
1174#67—122no—
1175#67—122no—
1176#67—122no—
1177#67—122no—
1178#67—121no—
1179#67—121no—
1180#67—122no—
1181C2×Dic3—22no—
1182C2×Dic3—24no—
1183C2×Dic3—31no—
1184C2×Dic3—31no—
1185C2×Dic3—31no—
1186C2×Dic3—31no—
1187C2×Dic3—31no—
1188C2×Dic3—31no—
1189C2×Dic3—32no—
1190C2×Dic3—32no—
1191C2×Dic3—61no—
1192C2×Dic3—61no—
1193C2×Dic3—61no—
1194C2×Dic3—62no—
1195C2×Dic3—64no—
1196C2×Dic3—64no—
1197C2×Dic3—64no—
1198C2×Dic3C23×D312yes—
1199C2×Dic3C23×D311yescharacteristic
1200C2×Dic3C23×D311yescharacteristic
1201C2×Dic3C23×D311yescharacteristic
1202C2×Dic3C23×D311yescharacteristic
1203C2×Dic3C23×D312yes—
1204C2×Dic3C23×D311yescharacteristic
1205D12—24no—
1206D12—22no—
1207D12—22no—
1208D12—38no—
1209D12—34no—
1210D12—34no—
1211D12—42no—
1212D12—64no—
1213D12—64no—
1214D12—62no—
1215D12—64no—
1216D12—64no—
1217D12—62no—
1218D12—62no—
1219D12—122no—
1220C4×D3—22no—
1221C4×D3—22no—
1222C4×D3—22no—
1223C4×D3—22no—
1224C4×D3—24no—
1225C4×D3—38no—
1226C4×D3—38no—
1227C4×D3—42no—
1228C4×D3—64no—
1229C4×D3—64no—
1230C4×D3—64no—
1231C4×D3—64no—
1232C4×D3—64no—
1233C4×D3—62no—
1234C4×D3—62no—
1235C4×D3—122no—
1236C4×D3—124no—
1237C4×D3—122no—
1238C4×D3—122no—
1239C4×D3—122no—
1240C4×D3—122no—
1241C4×D3—242no—
1242C4×D3D3×D414yescomplemented
1243Dic6—62no—
1244Dic6—64no—
1245Dic6—62no—
1246Dic6—62no—
1247Dic6—64no—
1248Dic6—62no—
1249Dic6—122no—
1250Dic6D3×D414yescomplemented
1251C2×C32—41no—
1252C2×C32—42no—
1253C2×C32C23×D411yescharacteristic
1254C2×C32C2×H(5,𝔽2)11yescharacteristic
1255C2×C32#58511yescharacteristic
1256C3⋊D3—24no—
1257C3⋊D3—41no—
1258C3×D3—22no—
1259C3×D3—22no—
1260C3×D3—42no—
1261C3×D3—41no—
1262C3×D3—42no—
1263C24—31no—
1264C24—32no—
1265C24—92no—
1266C24—92no—
1267C24—92no—
1268#41—64no—
1269#41—64no—
1270#41—98no—
1271#41—184no—
1272#41—184no—
1273#41—184no—
1274#41—188no—
1275#41—188no—
1276#41—188no—
1277#41—184no—
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—31no—
1288C2×D4—32no—
1289C2×D4—32no—
1290C2×D4—32no—
1291C2×D4—32no—
1292C2×D4—31no—
1293C2×D4—31no—
1294C2×D4—32no—
1295C2×D4—64no—
1296C2×D4—92no—
1297C2×D4—91no—
1298C2×D4—92no—
1299C2×D4—91no—
1300C2×D4—92no—
1301C2×D4—91no—
1302C2×D4—92no—
1303C2×D4—92no—
1304C2×D4—91no—
1305C2×D4—92no—
1306C2×D4—91no—
1307C2×D4—92no—
1308C2×D4—92no—
1309C2×D4—92no—
1310C2×D4—92no—
1311C2×D4—91no—
1312C2×D4—91no—
1313C2×D4—124no—
1314C2×D4—184no—
1315C2×D4—184no—
1316C2×D4—188no—
1317C2×D4—188no—
1318C2×D4—184no—
1319C2×D4—188no—
1320C2×D4—188no—
1321C2×D4—364no—
1322C2×D4—364no—
1323C2×D4C2×D3211yescharacteristic
1324C2×D4C2×D3212yes—
1325C22×C4—31no—
1326C22×C4—32no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—32no—
1330C22×C4—31no—
1331C22×C4—31no—
1332C22×C4—31no—
1333C22×C4—32no—
1334C22×C4—64no—
1335C22×C4—92no—
1336C22×C4—92no—
1337C22×C4—92no—
1338C22×C4—92no—
1339C22×C4—92no—
1340C22×C4—92no—
1341C22×C4—91no—
1342C22×C4—92no—
1343C22×C4—188no—
1344C22×C4C2×D3211yescharacteristic
1345C4⋊C4—32no—
1346C4⋊C4—31no—
1347C4⋊C4—32no—
1348C4⋊C4—31no—
1349C4⋊C4—91no—
1350C4⋊C4—92no—
1351C4⋊C4—91no—
1352C4⋊C4—91no—
1353C4⋊C4—91no—
1354C4⋊C4—92no—
1355C4⋊C4—91no—
1356C4⋊C4—92no—
1357C4⋊C4C2×D3211yescharacteristic
1358C22⋊C4—32no—
1359C22⋊C4—31no—
1360C22⋊C4—32no—
1361C22⋊C4—32no—
1362C22⋊C4—31no—
1363C22⋊C4—32no—
1364C22⋊C4—92no—
1365C22⋊C4—91no—
1366C22⋊C4—92no—
1367C22⋊C4—92no—
1368C22⋊C4—91no—
1369C22⋊C4—91no—
1370C22⋊C4—91no—
1371C22⋊C4—91no—
1372C22⋊C4—92no—
1373C22⋊C4—91no—
1374C22⋊C4—92no—
1375C22⋊C4—92no—
1376C22⋊C4—92no—
1377C22⋊C4—91no—
1378C22⋊C4—91no—
1379C22⋊C4—92no—
1380C22⋊C4—92no—
1381C22⋊C4C2×D3212yes—
1382C42—32no—
1383C42—31no—
1384C42—92no—
1385C42—91no—
1386C22×C3—22no—
1387C22×C3—21no—
1388C22×C3—21no—
1389C22×C3—22no—
1390C22×C3—22no—
1391C22×C3—21no—
1392C22×C3—21no—
1393C22×C3—22no—
1394C22×C3—21no—
1395C22×C3—22no—
1396C22×C3—22no—
1397C22×C3—21no—
1398C22×C3—21no—
1399C22×C3—32no—
1400C22×C3—32no—
1401C22×C3—41no—
1402C22×C3—42no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—42no—
1406C22×C3—42no—
1407C22×C3—61no—
1408C22×C3—61no—
1409C22×C3—61no—
1410C22×C3—61no—
1411C22×C3—62no—
1412C22×C3—62no—
1413C22×C3—61no—
1414C22×C3—61no—
1415C22×C3—62no—
1416C22×C3—62no—
1417C22×C3—62no—
1418C22×C3—61no—
1419C22×C3—62no—
1420C22×C3—124no—
1421C22×C3—244no—
1422C22×C3C24×D311yescharacteristic
1423C22×C3C24×D311yescharacteristic
1424C2×D3—21no—
1425C2×D3—21no—
1426C2×D3—21no—
1427C2×D3—21no—
1428C2×D3—22no—
1429C2×D3—21no—
1430C2×D3—22no—
1431C2×D3—22no—
1432C2×D3—22no—
1433C2×D3—21no—
1434C2×D3—22no—
1435C2×D3—21no—
1436C2×D3—22no—
1437C2×D3—34no—
1438C2×D3—34no—
1439C2×D3—44no—
1440C2×D3—64no—
1441C2×D3—62no—
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—84no—
1453C2×D3—121no—
1454C2×D3—122no—
1455C2×D3—122no—
1456C2×D3—121no—
1457C2×D3—128no—
1458C2×D3—128no—
1459C2×D3—244no—
1460C2×D3—244no—
1461C2×D3—244no—
1462C2×D3—244no—
1463C2×D3—248no—
1464C2×D3C2×D3×D412yes—
1465C2×D3#100412yescomplemented
1466C3×C4—21no—
1467C3×C4—21no—
1468C3×C4—22no—
1469C3×C4—22no—
1470C3×C4—22no—
1471C3×C4—32no—
1472C3×C4—34no—
1473C3×C4—41no—
1474C3×C4—42no—
1475C3×C4—61no—
1476C3×C4—61no—
1477C3×C4—61no—
1478C3×C4—61no—
1479C3×C4—62no—
1480C3×C4C2×D3×D412yes—
1481C3×C4C2×D3×D412yes—
1482Dic3—21no—
1483Dic3—21no—
1484Dic3—22no—
1485Dic3—21no—
1486Dic3—21no—
1487Dic3—62no—
1488Dic3—62no—
1489Dic3—61no—
1490Dic3—61no—
1491Dic3—61no—
1492Dic3—61no—
1493Dic3—61no—
1494Dic3—61no—
1495Dic3—122no—
1496Dic3—121no—
1497Dic3—121no—
1498Dic3—121no—
1499Dic3C2×D3×D414yes—
1500Dic3C2×D3×D412yes—
1501C32#348811yescharacteristic, complemented, Sylow
1502C23—31no—
1503C23—31no—
1504C23—32no—
1505C23—31no—
1506C23—32no—
1507C23—62no—
1508C23—62no—
1509C23—64no—
1510C23—92no—
1511C23—91no—
1512C23—121no—
1513C23—122no—
1514C23—122no—
1515C23—184no—
1516C23—184no—
1517C23—184no—
1518C23—184no—
1519C23—362no—
1520C23—362no—
1521C23—362no—
1522C23—362no—
1523C23—362no—
1524C23C22×D3212yes—
1525C23C22×D3211yescharacteristic
1526Q8—34no—
1527Q8—184no—
1528Q8—182no—
1529Q8—182no—
1530D4—22no—
1531D4—42no—
1532D4—64no—
1533D4—64no—
1534D4—64no—
1535D4—64no—
1536D4—64no—
1537D4—62no—
1538D4—62no—
1539D4—98no—
1540D4—94no—
1541D4—122no—
1542D4—122no—
1543D4—122no—
1544D4—121no—
1545D4—122no—
1546D4—182no—
1547D4—184no—
1548D4—182no—
1549D4—182no—
1550D4—184no—
1551D4—184no—
1552D4—184no—
1553D4—184no—
1554D4—182no—
1555D4—184no—
1556D4—182no—
1557D4—362no—
1558D4—361no—
1559D4—362no—
1560D4—362no—
1561C2×C4—22no—
1562C2×C4—32no—
1563C2×C4—31no—
1564C2×C4—34no—
1565C2×C4—31no—
1566C2×C4—31no—
1567C2×C4—32no—
1568C2×C4—31no—
1569C2×C4—31no—
1570C2×C4—62no—
1571C2×C4—64no—
1572C2×C4—62no—
1573C2×C4—62no—
1574C2×C4—64no—
1575C2×C4—62no—
1576C2×C4—62no—
1577C2×C4—98no—
1578C2×C4—91no—
1579C2×C4—91no—
1580C2×C4—92no—
1581C2×C4—91no—
1582C2×C4—122no—
1583C2×C4—184no—
1584C2×C4—184no—
1585C2×C4—184no—
1586C2×C4—184no—
1587C2×C4—182no—
1588C2×C4—362no—
1589C2×C4—362no—
1590C2×C4C22×D3212yes—
1591C2×C4C22×D3211yescharacteristic
1592C2×C4C22×D3211yescharacteristic
1593C2×C3—21no—
1594C2×C3—21no—
1595C2×C3—21no—
1596C2×C3—41no—
1597C2×C3—42no—
1598C2×C3—42no—
1599C2×C3—41no—
1600C2×C3—62no—
1601C2×C3—62no—
1602C2×C3—82no—
1603C2×C3—81no—
1604C2×C3—122no—
1605C2×C3—121no—
1606C2×C3—122no—
1607C2×C3C22×D3×D411yescharacteristic
1608C2×C3C22×D3×D411yescharacteristic
1609C2×C3C2×#100411yescharacteristic
1610C2×C3#596411yescharacteristic
1611C2×C3#596411yescharacteristic
1612C2×C3D3×H(5,𝔽2)11yescharacteristic
1613D3—22no—
1614D3—22no—
1615D3—42no—
1616D3—42no—
1617D3—41no—
1618D3—64no—
1619D3—64no—
1620D3—124no—
1621D3—122no—
1622D3—121no—
1623D3—121no—
1624C22—21no—
1625C22—22no—
1626C22—21no—
1627C22—22no—
1628C22—21no—
1629C22—22no—
1630C22—32no—
1631C22—32no—
1632C22—61no—
1633C22—61no—
1634C22—61no—
1635C22—61no—
1636C22—62no—
1637C22—61no—
1638C22—62no—
1639C22—62no—
1640C22—61no—
1641C22—62no—
1642C22—62no—
1643C22—61no—
1644C22—62no—
1645C22—94no—
1646C22—124no—
1647C22—182no—
1648C22—182no—
1649C22—181no—
1650C22—181no—
1651C22—181no—
1652C22—244no—
1653C22—368no—
1654C22—724no—
1655C22—724no—
1656C22C23×D3211yescharacteristic
1657C4—21no—
1658C4—22no—
1659C4—32no—
1660C4—34no—
1661C4—61no—
1662C4—61no—
1663C4—62no—
1664C4—61no—
1665C4—61no—
1666C4—181no—
1667C4—182no—
1668C4—181no—
1669C4—181no—
1670C4D32×D412yes—
1671C3—21no—
1672C3#8594911yescharacteristic, complemented
1673C3#8676911yescharacteristic, complemented
1674C2—41no—
1675C2—42no—
1676C2—62no—
1677C2—62no—
1678C2—122no—
1679C2—122no—
1680C2—121no—
1681C2—184no—
1682C2—361no—
1683C2C2×D32×D411yescharacteristic
1684C2D3×#100411yescharacteristic
1685C2#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×D3×#235C2semidirect
3. #10596083C2semidirect
4. C3×D3×#121C2semidirect
5. C3×#5599C2semidirect
6. #10595299C2semidirect
7. #10595297C2semidirect
8. #10595293C2semidirect
9. #10595291C2semidirect
10. #10595233C2semidirect
11. #10595157C2semidirect
12. #10595140C2semidirect
13. #10595078C2semidirect
14. #10595006C2semidirect
15. #10595002C2semidirect
16. #10594618C2semidirect
17. #10594522C2semidirect
18. #10594382C2semidirect
19. #10594327C2semidirect
20. #10594286C2semidirect
21. #10594278C2semidirect
22. #10594265C2semidirect
23. #10594186C2semidirect
26. C2×D4×C3⋊D3C22semidirect
27. C2×#3828C22semidirect
28. C2×C3×#237C22semidirect
29. C2×C3×D3×D4C22semidirect
30. C2×C3×D3×D4C22semidirect
31. C2×C3×#235C22semidirect
32. C22×C3×C4×D3C22semidirect
33. C2×#3811C22semidirect
34. C2×#3811C22semidirect
35. C2×D3×#67C22semidirect
36. C2×D3×#67C22semidirect
37. C22×#626C22semidirect
38. C2×#3804C22semidirect
39. C2×#3804C22semidirect
42. C2×#3802C22semidirect
43. C2×D3×D12C22semidirect
44. C2×D3×D12C22semidirect
45. C2×C4×D32C22semidirect
47. C2×#3798C22semidirect
48. C2×#3798C22semidirect
49. C2×#3796C22semidirect
50. C2×#3795C22semidirect
51. C2×D3×Dic6C22semidirect
52. C32×#121C22semidirect
53. #64147C22semidirect
54. #64146C22semidirect
55. #64145C22semidirect
56. C4×#638C22semidirect
57. #64106C22semidirect
58. #64102C22semidirect
59. #64092C22semidirect
60. C22⋊C4×C3⋊D3C22semidirect
61. C3×#940C22semidirect
62. C3×#940C22semidirect
63. C3×#939C22semidirect
64. C3×#939C22semidirect
65. C3×#938C22semidirect
66. C3×#930C22semidirect
67. C3×C4×#67C22semidirect
68. C3×#895C22semidirect
69. C3×#895C22semidirect
70. C3×D3×C4⋊C4C22semidirect
71. C3×#887C22semidirect
72. C3×#884C22semidirect
73. C3×#884C22semidirect
74. C3×#67⋊C4C22semidirect
75. C3×D3×C22⋊C4C22semidirect
76. #63983C22semidirect
77. #63983C22semidirect
78. #63981C22semidirect
79. #63979C22semidirect
80. #63978C22semidirect
81. #63977C22semidirect
82. #63976C22semidirect
83. #63976C22semidirect
84. #63976C22semidirect
85. Dic3×#67C22semidirect
86. #63970C22semidirect
87. #63970C22semidirect
88. #63970C22semidirect
89. #63970C22semidirect
90. #63964C22semidirect
91. #63964C22semidirect
92. #63959C22semidirect
93. #63958C22semidirect
94. #63958C22semidirect
95. #63922C22semidirect
96. #63922C22semidirect
97. #63921C22semidirect
98. #63916C22semidirect
99. #63914C22semidirect
100. #63912C22semidirect
101. #63908C22semidirect
102. #63906C22semidirect
103. #63906C22semidirect
104. #63906C22semidirect
105. #63905C22semidirect
106. #63904C22semidirect
107. C4×#626C22semidirect
108. C4×#626C22semidirect
109. C4×#625C22semidirect
110. #63894C22semidirect
111. #63893C22semidirect
112. #63893C22semidirect
113. Dic3×D12C22semidirect
114. #63886C22semidirect
115. #63886C22semidirect
116. #63883C22semidirect
117. #63879C22semidirect
118. #63860C22semidirect
119. #63857C22semidirect
120. #63855C22semidirect
121. #63853C22semidirect
122. #63852C22semidirect
123. #63851C22semidirect
124. #63850C22semidirect
125. #63843C22semidirect
126. #63836C22semidirect
159. D3×#121D3semidirect
161. #5599D3semidirect
250. #3799D4semidirect
316. C2×#237C2×D3semidirect
330. C2×D3×D4C2×D3semidirect
331. C2×D3×D4C2×D3semidirect
344. C2×#235C2×D3semidirect
350. C22×C4×D3C2×D3semidirect
363. C3×#121C2×D3semidirect
364. C3×#121C2×D3semidirect
379. #940C2×D3semidirect
380. #940C2×D3semidirect
388. #939C2×D3semidirect
389. #939C2×D3semidirect
401. #938C2×D3semidirect
427. #930C2×D3semidirect
440. C4×#67C2×D3semidirect
456. #895C2×D3semidirect
457. #895C2×D3semidirect
468. D3×C4⋊C4C2×D3semidirect
470. #887C2×D3semidirect
480. #884C2×D3semidirect
481. #884C2×D3semidirect
492. #67⋊C4C2×D3semidirect
498. D3×C22⋊C4C2×D3semidirect
548. C4⋊(C3⋊D3)C2×D4semidirect
580. C3×C4×D3C2×D4semidirect
581. C3×Dic6C2×D4semidirect
591. #626C2×D4semidirect
598. #624C2×D4semidirect
926. C2×C3×D3H(5,𝔽2)semidirect
1012. #121D32semidirect
1242. C4×D3D3×D4semidirect
1250. Dic6D3×D4semidirect
1465. C2×D3#1004semidirect
1501. C32#3488semidirect
1672. C3#85949semidirect
1673. 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×D3×#2352
#105960832
C3×D3×#1212
C3×#55992
#105952992
#105952972
#105952932
#105952912
#105952332
#105951572
#105951402
#105950782
#105950062
#105950022
#105946182
#105945222
#105943822
#105943272
#105942862
#105942782
#105942652
#105941862
#867693
#859493