Finite Group Databasebeta

← #11904685

Subgroups — #11904685

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×#235C211yesmaximal, characteristic, complemented
3#10596070C211yesmaximal, characteristic, complemented
4C3×#5612C211yesmaximal, characteristic, complemented
5C3×D3×#121C211yesmaximal, characteristic, complemented
6#10595288C211yesmaximal, characteristic, complemented
7#10595288C212yesmaximal, complemented
8#10595287C212yesmaximal, complemented
9#10595285C212yesmaximal, complemented
10#10595235C211yesmaximal, characteristic, complemented
11#10595161C211yesmaximal, characteristic, complemented
12#10595132C212yesmaximal, complemented
13#10595070C211yesmaximal, characteristic, complemented
14#10595002C211yesmaximal, characteristic, complemented
15#10594919C211yesmaximal, characteristic, complemented
16#10594621C211yesmaximal, characteristic, complemented
17#10594525C211yesmaximal, characteristic, complemented
18#10594523C211yesmaximal, characteristic, complemented
19#10594359C211yesmaximal, characteristic, complemented
20#10594272C212yesmaximal, complemented
21#10594267C212yesmaximal, complemented
22D3×#884C212yesmaximal, complemented
23#10594183C212yesmaximal, complemented
24#86629—31nomaximal
25#85949—31nomaximal
26C2×#3830C2211yescharacteristic, complemented
27C2×#3828C2211yescharacteristic, complemented
28C2×C3×D3×D4C2211yescharacteristic, complemented
29C2×C3×D3×D4C2211yescharacteristic, complemented
30C2×C3×D3×D4C2212yescomplemented
31C2×C3×#235C2211yescharacteristic, complemented
32C22×C3×C4×D3C2211yescharacteristic, complemented
33C2×D3×#67C2212yescomplemented
34C2×D3×#67C2212yescomplemented
35C2×D3×#67C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C22×#625C2212yescomplemented
38C2×#3805C2212yescomplemented
39C2×#3804C2212yescomplemented
40#64313—28no—
41D3×#235—28no—
42C2×#3802C2211yescharacteristic, complemented
43C2×D3×D12C2211yescharacteristic, complemented
44C2×D3×D12C2212yescomplemented
45C2×C4×D32C2212yescomplemented
46C2×#3799C2211yescharacteristic, complemented
47C2×#3798C2212yescomplemented
48C2×#3798C2211yescharacteristic, complemented
49C2×#3795C2211yescharacteristic
50C2×#3795C2211yescharacteristic, complemented
51C2×D3×Dic6C2211yescharacteristic, complemented
52C32×#121C2211yescharacteristic, complemented
53#64149C2211yescharacteristic, complemented
54#64149C2212yescomplemented
55#64148C2212yescomplemented
56C4×#638C2211yescharacteristic, complemented
57#64104C2211yescharacteristic, complemented
58#64096C2211yescharacteristic, complemented
59#64093C2212yescomplemented
60#64090C2212yescomplemented
61C3×#939C2212yescomplemented
62C3×#938C2212yescomplemented
63C3×#938C2211yescharacteristic, complemented
64C3×#937C2212yescomplemented
65C3×#936C2211yescharacteristic, complemented
66C3×#930C2211yescharacteristic, complemented
67C3×C4×#67C2211yescharacteristic, complemented
68C3×#897C2211yescharacteristic, complemented
69C3×#895C2211yescharacteristic, complemented
70C3×#893C2211yescharacteristic, complemented
71C3×D3×C4⋊C4C2211yescharacteristic, complemented
72C3×#884C2212yescomplemented
73C3×#883C2212yescomplemented
74C3×D3×C22⋊C4C2212yescomplemented
75C3×D3×C22⋊C4C2212yescomplemented
76#63983C2212yescomplemented
77#63983C2212yescomplemented
78#63982C2212yescomplemented
79#63979C2212yescomplemented
80#63978C2211yescharacteristic, complemented
81#63977C2212yescomplemented
82#63977C2212yescomplemented
83#63977C2212yescomplemented
84#63977C2211yescharacteristic, complemented
85#63976C2211yescharacteristic, complemented
86#67⋊Dic3C2212yescomplemented
87#63971C2212yescomplemented
88#63971C2212yescomplemented
89#63971C2212yescomplemented
90#63970C2212yescomplemented
91#63964C2211yescharacteristic, complemented
92#63958C2212yescomplemented
93#63958C2212yescomplemented
94#63953C2212yescomplemented
95#63923C2212yescomplemented
96#63922C2212yescomplemented
97D3×(C2×D3)⋊C4C2212yescomplemented
98#63915C2212yescomplemented
99#63912C2212yescomplemented
100#63911C2211yescharacteristic, complemented
101#63910C2212yescomplemented
102#63909C2211yescharacteristic, complemented
103#63909C2212yescomplemented
104#63906C2212yescomplemented
105#63906C2212yescomplemented
106#63906C2211yescharacteristic, complemented
107#63905C2211yescharacteristic, complemented
108#63905C2212yescomplemented
109C4×#626C2211yescharacteristic, complemented
110C4×#625C2212yescomplemented
111C4×#625C2211yescharacteristic, complemented
112#63899C2212yescomplemented
113#63898C2211yescharacteristic, complemented
114#63898C2212yescomplemented
115#63895C2212yescomplemented
116#63885C2212yescomplemented
117#63881C2212yescomplemented
118#63879C2212yescomplemented
119#63878C2212yescomplemented
120D3×Dic3⋊C4C2212yescomplemented
121#63871C2211yescharacteristic, complemented
122#63863C2211yescharacteristic, complemented
123#63855C2211yescharacteristic, complemented
124#63851C2211yescharacteristic, complemented
125#63850C2211yescharacteristic, complemented
126#63844C2211yescharacteristic, complemented
127C2×D3×#41—31no—
128C2×#1004—31no—
129C2×#1004—31no—
130C22×#235—31no—
131C3×#546—31no—
132C2×C3×#121—31no—
133#5829—31no—
134#5805—31no—
135D4×#67—31no—
136D4×#67—32no—
137D4×#67—32no—
138#5791—31no—
139#5677—31no—
140#5674—31no—
141#5656—32no—
142#5654—32no—
143#5633—31no—
144#5629—31no—
145#5612—31no—
146#5612D311yescharacteristic, complemented
147#5609—32no—
148#5609—31no—
149#5609—31no—
150#5608—32no—
151#5607—32no—
152#5606—32no—
153D3×#121—32no—
154D3×#121D311yescharacteristic, complemented
155#5599—31no—
156#5599—31no—
157#5599—31no—
158#5599—61no—
159#5598—31no—
160#5598—31no—
161#5597—32no—
162#5592—32no—
163#5590—32no—
164#5553—31no—
165D4×D12—31no—
166#5547—31no—
167#5546—31no—
168#5510—31no—
169#5504—31no—
170#5490—32no—
171#5490—32no—
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—
185C2×#638C2312yes—
186C2×#638C2311yescharacteristic
187C22×C3⋊Dic3C2312yes—
188#3830—24no—
189#3828—24no—
190C2×C4⋊(C3⋊D3)C2311yescharacteristic
191C2×C4⋊(C3⋊D3)C2312yes—
192C2×C4×C3⋊D3C2312yes—
193C2×C4×C3⋊D3C2311yescharacteristic
194C2×#634C2311yescharacteristic
195C2×C3×#67C2312yes—
196C2×C3×#67C2312yes—
197C2×C3×#67C2312yes—
198C2×C3×#67C2312yes—
199C2×C3×#67C2311yescharacteristic
200C2×C3×#67C2312yes—
201C22×C3×Dic3C2311yescharacteristic
202C3×D3×D4—24no—
203C3×D3×D4—24no—
204C3×D3×D4—44no—
205C3×#235—24no—
206C2×C3×D12C2312yes—
207C2×C3×D12C2311yescharacteristic
208C2×C3×D12C2311yescharacteristic
209C2×C3×C4×D3—24no—
210C2×C3×C4×D3C2311yescharacteristic
211C2×C3×C4×D3C2312yes—
212C2×C3×C4×D3C2311yescharacteristic
213C2×C3×C4×D3C2311yescharacteristic
214C2×C3×C4×D3C2311yescharacteristic
215C2×C3×C4×D3C2312yes—
216C2×C3×C4×D3C2312yes—
217C2×C3×C4×D3C2311yescharacteristic
218C2×C3×Dic6C2311yescharacteristic
219D3×#67—28no—
220D3×#67—28no—
221D3×#67—28no—
222D3×#67—44no—
223C2×#627C2312yes—
224C2×#627C2311yescharacteristic
225C2×#626C2312yes—
226C2×#626C2312yes—
227C2×#626C2311yescharacteristic
228C2×#626C2311yescharacteristic
229C2×#626C2311yescharacteristic
230C2×#626C2312yes—
231C2×#626C2312yes—
232C2×#626C2312yes—
233C2×#625—28no—
234C2×#625C2312yes—
235C2×#625C2311yescharacteristic
236C2×#625C2312yes—
237C2×#625C2311yescharacteristic
238C2×#625C2312yes—
239C2×#624C2312yes—
240#3805—28no—
241#3804—28no—
242C2×D3×Dic3C2312yes—
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#3795—24no—
254#3795D418yescomplemented
255D3×Dic6—24no—
256C32×C4⋊C4C2311yescharacteristic
257C32×C22⋊C4C2312yes—
258#3757C2311yescharacteristic
259#3752C2312yes—
260#3752C2311yescharacteristic
261#3750C2311yescharacteristic
262#3750C2312yes—
263C4×C3⋊Dic3C2312yes—
264C4×C3⋊Dic3C2311yescharacteristic
265C3×#217C2312yes—
266C3×#217C2312yes—
267C3×#217C2312yes—
268C3×#217C2311yescharacteristic
269C3×(C2×D3)⋊C4C2311yescharacteristic
270C3×(C2×D3)⋊C4C2312yes—
271C3×(C2×D3)⋊C4C2312yes—
272C3×(C2×D3)⋊C4C2312yes—
273C3×(C2×D3)⋊C4C2312yes—
274C3×C4⋊Dic3C2312yes—
275C3×C4⋊Dic3C2311yescharacteristic
276C3×Dic3⋊C4C2311yescharacteristic
277C3×Dic3⋊C4C2312yes—
278C3×C4×Dic3C2311yescharacteristic
279#3724C2312yes—
280#3724C2311yescharacteristic
281Dic3⋊Dic3C2311yescharacteristic
282Dic3⋊Dic3C2311yescharacteristic
283Dic3⋊Dic3C2312yes—
284Dic3⋊Dic3C2311yescharacteristic
285#3722C2311yescharacteristic
286#3722C2312yes—
287#3722C2312yes—
288(C2×D3)⋊Dic3C2311yescharacteristic
289(C2×D3)⋊Dic3C2311yescharacteristic
290(C2×D3)⋊Dic3C2311yescharacteristic
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—
299C22×C3×D4—31no—
300C22×C3×D4—31no—
301C22×C3×D4—32no—
302C23×C3×C4—31no—
303C22×#67—32no—
304C22×#67—32no—
305C22×#67—32no—
306C22×#67—32no—
307C22×#67—32no—
308C22×#67—32no—
309D3×#41—68no—
310C2×#239—31no—
311C2×D3×Q8—31no—
312#1004—68no—
313#1004—68no—
314C2×#237—31no—
315C2×#237—31no—
316C2×#237—32no—
317C2×#237—32no—
318C2×#237—32no—
319C2×#237—31no—
320C2×#237—31no—
321C2×#237—61no—
322C2×D3×D4—32no—
323C2×D3×D4—32no—
324C2×D3×D4—32no—
325C2×D3×D4—32no—
326C2×D3×D4—31no—
327C2×D3×D4—31no—
328C2×D3×D4—31no—
329C2×D3×D4—32no—
330C2×D3×D4C2×D311yescharacteristic, complemented
331C2×D3×D4C2×D311yescharacteristic, complemented
332C2×D3×D4C2×D312yescomplemented
333C2×#235—31no—
334C2×#235—31no—
335C2×#235—32no—
336C2×#235—31no—
337C2×#235—31no—
338C2×#235—32no—
339C2×#235—32no—
340C2×#235—31no—
341C2×#235—31no—
342C2×#235—31no—
343C2×#235—61no—
344C2×#235—68no—
345C2×#235C2×D311yescharacteristic, complemented
346C22×D12—31no—
347C22×D12—32no—
348C22×C4×D3—32no—
349C22×C4×D3—32no—
350C22×C4×D3C2×D311yescharacteristic, complemented
351C22×Dic6—31no—
352C3×#124—31no—
353C3×#123—32no—
354C3×C22⋊Q8—31no—
355C3×#121—21no—
356C3×#121—31no—
357C3×#121—32no—
358C3×#121—32no—
359C3×#121—31no—
360C3×#121—31no—
361C3×#121—32no—
362C3×#121C2×D311yescharacteristic, complemented
363C3×#121C2×D311yescharacteristic, complemented
364C3×#120—32no—
365C3×C4×D4—31no—
366C3×C4×D4—31no—
367C2×C3×C4⋊C4—31no—
368C2×C3×C22⋊C4—32no—
369C2×C3×C22⋊C4—32no—
370#953—31no—
371#953—32no—
372#953—32no—
373#953—32no—
374#953—31no—
375#947—31no—
376#946—31no—
377#940—31no—
378#940—32no—
379#940—31no—
380#940—32no—
381#940—32no—
382#940—32no—
383#940—31no—
384#940—62no—
385#940—61no—
386#939—32no—
387#939—32no—
388#939—32no—
389#939—31no—
390#939—32no—
391#939—32no—
392#939—32no—
393#939—32no—
394#939—62no—
395#939C2×D312yescomplemented
396#938—32no—
397#938—32no—
398#938—32no—
399#938C2×D311yescharacteristic, complemented
400#938C2×D312yescomplemented
401#937—31no—
402#937—32no—
403#937—32no—
404#937—32no—
405#937—32no—
406#937—32no—
407#937C2×D312yescomplemented
408#936—31no—
409#936C2×D311yescharacteristic, complemented
410D4×Dic3—32no—
411D4×Dic3—31no—
412D4×Dic3—32no—
413#930—31no—
414#930—32no—
415#930—32no—
416#930—31no—
417#930—32no—
418#930—31no—
419#930C2×D311yescharacteristic, complemented
420#929—32no—
421#929—31no—
422#929—31no—
423C4×#67—31no—
424C4×#67—31no—
425C4×#67—31no—
426C4×#67—32no—
427C4×#67—32no—
428C4×#67—31no—
429C4×#67—32no—
430C4×#67—31no—
431C4×#67—61no—
432C4×#67C2×D311yescharacteristic, complemented
433C2×(C2×D3)⋊C4—32no—
434#926—31no—
435#924—31no—
436#924—31no—
437C2×Dic3⋊C4—32no—
438#897—31no—
439#897—32no—
440#897C2×D311yescharacteristic, complemented
441#896—31no—
442#896—32no—
443#896—32no—
444#895—32no—
445#895—31no—
446#895—31no—
447#895—31no—
448#895—32no—
449#895—61no—
450#895C2×D311yescharacteristic, complemented
451#894—31no—
452#893—32no—
453#893—31no—
454#893—32no—
455#893C2×D311yescharacteristic, complemented
456#892—32no—
457D3×C4⋊C4—32no—
458D3×C4⋊C4C2×D311yescharacteristic, complemented
459#887—31no—
460#887—31no—
461#887—31no—
462#887—61no—
463#885—32no—
464#885—32no—
465#885—32no—
466#885—32no—
467#884—32no—
468#884—32no—
469#884—32no—
470#884—32no—
471#884—32no—
472#884—32no—
473#884—31no—
474#884—32no—
475#884—32no—
476#884—32no—
477#884—32no—
478#884—32no—
479#884—32no—
480#884—32no—
481#884—62no—
482#884C2×D312yescomplemented
483#883—31no—
484#883—32no—
485#883C2×D312yescomplemented
486#882—32no—
487#882—32no—
488#882—32no—
489#882—31no—
490#882—32no—
491#882—32no—
492#882—32no—
493#67⋊C4—32no—
494#67⋊C4—32no—
495#67⋊C4—32no—
496#67⋊C4—32no—
497#67⋊C4—32no—
498#67⋊C4—62no—
499D3×C22⋊C4—32no—
500D3×C22⋊C4C2×D312yescomplemented
501D3×C22⋊C4C2×D312yescomplemented
502#878—31no—
503#878—32no—
504#878—32no—
505#878—32no—
506#877—32no—
507#874—31no—
508C4×D12—31no—
509#872—31no—
510C4×Dic6—31no—
511C23×C32C2412yes—
512C23×C32C2411yescharacteristic
513C22×C3⋊D3C2411yescharacteristic
514C22×C3⋊D3C2412yes—
515C22×C3×D3—22no—
516C22×C3×D3—22no—
517C22×C3×D3—24no—
518C22×C3×D3—24no—
519C22×C3×D3—41no—
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—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—
544#638—41no—
545#638—42no—
546C2×C3⋊Dic3—24no—
547C2×C3⋊Dic3C2411yescharacteristic
548C2×C3⋊Dic3C2411yescharacteristic
549C2×C3⋊Dic3C2411yescharacteristic
550C2×C3⋊Dic3C2412yes—
551C4⋊(C3⋊D3)—22no—
552C4⋊(C3⋊D3)—42no—
553C4×C3⋊D3—22no—
554C4×C3⋊D3—24no—
555#634C2×D414yescomplemented
556C3×#67—24no—
557C3×#67—24no—
558C3×#67—24no—
559C3×#67—24no—
560C3×#67—42no—
561C3×#67—41no—
562C2×C3×Dic3—22no—
563C2×C3×Dic3C2411yescharacteristic
564C2×C3×Dic3C2412yes—
565C2×C3×Dic3C2412yes—
566C2×C3×Dic3C2411yescharacteristic
567C2×C3×Dic3C2411yescharacteristic
568C2×C3×Dic3C2411yescharacteristic
569C2×C3×Dic3C2411yescharacteristic
570C3×D12—24no—
571C3×D12—22no—
572C3×D12C2×D414yescomplemented
573C3×C4×D3—22no—
574C3×C4×D3—24no—
575C3×C4×D3—22no—
576C3×C4×D3—22no—
577C3×C4×D3—22no—
578C3×C4×D3—42no—
579C3×C4×D3—42no—
580C3×C4×D3C2×D414yescomplemented
581C3×Dic6—22no—
582#627—24no—
583#627—22no—
584#626—24no—
585#626—24no—
586#626—22no—
587#626—22no—
588#626—22no—
589#626—42no—
590#626—42no—
591#626—42no—
592#625—22no—
593#625—24no—
594#625—22no—
595#625—24no—
596#625C2×D418yescomplemented
597#624—24no—
598D3×Dic3—24no—
599D3×Dic3—24no—
600D3×Dic3—42no—
601D3×Dic3C2×D418yescomplemented
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—91no—
605#550—91no—
606#548—91no—
607#548—91no—
608#546—31no—
609#546—92no—
610#546—92no—
611#546—91no—
612D42—91no—
613D42—92no—
614D42—91no—
615D42—92no—
616#537—91no—
617#537—92no—
618#535—92no—
619#535—91no—
620#525—91no—
621#525—92no—
622C2×#121—31no—
623C2×#121—92no—
624#520—91no—
625C24×C3—31no—
626C24×C3—32no—
627C24×C3—32no—
628C23×D3—32no—
629C23×D3—32no—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3C22×D311yescharacteristic
633C23×D3C22×D312yes—
634C23×D3C22×D312yes—
635C3×#41—64no—
636C2×C3×Q8—31no—
637C2×C3×D4—21no—
638C2×C3×D4—22no—
639C2×C3×D4—32no—
640C2×C3×D4—32no—
641C2×C3×D4—32no—
642C2×C3×D4—32no—
643C2×C3×D4—32no—
644C2×C3×D4—31no—
645C2×C3×D4—31no—
646C2×C3×D4—32no—
647C2×C3×D4—31no—
648C2×C3×D4—64no—
649C2×C3×D4—64no—
650C2×C3×D4—124no—
651C2×C3×D4C22×D311yescharacteristic
652C2×C3×D4C22×D311yescharacteristic
653C2×C3×D4C22×D312yes—
654C2×C3×D4C22×D312yes—
655C22×C3×C4—21no—
656C22×C3×C4—31no—
657C22×C3×C4—31no—
658C22×C3×C4—31no—
659C22×C3×C4—32no—
660C22×C3×C4—31no—
661C22×C3×C4—31no—
662C22×C3×C4—31no—
663C22×C3×C4—32no—
664C22×C3×C4—32no—
665C22×C3×C4—64no—
666C22×C3×C4C22×D311yescharacteristic
667C22×C3×C4C22×D311yescharacteristic
668C2×#67—32no—
669C2×#67—32no—
670C2×#67—32no—
671C2×#67—32no—
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—32no—
675C2×#67—31no—
676C2×#67—32no—
677C2×#67—31no—
678C2×#67—32no—
679C2×#67—32no—
680C2×#67—31no—
681C2×#67—31no—
682C2×#67—32no—
683C2×#67—32no—
684C2×#67—32no—
685C2×#67—31no—
686C2×#67—32no—
687C2×#67—31no—
688C2×#67—32no—
689C2×#67—31no—
690C2×#67—31no—
691C2×#67—31no—
692C2×#67—32no—
693C2×#67—32no—
694C2×#67—32no—
695C2×#67—32no—
696C2×#67—62no—
697C2×#67—62no—
698C2×#67—61no—
699C2×#67—62no—
700C2×#67—62no—
701C2×#67—68no—
702C2×#67—68no—
703C2×#67—68no—
704C2×#67—68no—
705C2×#67—68no—
706C2×#67—124no—
707C2×#67C22×D312yes—
708C2×#67C22×D312yes—
709C2×#67C22×D312yes—
710C2×#67C22×D312yes—
711C2×#67C22×D312yes—
712C2×#67C22×D311yescharacteristic
713C22×Dic3—32no—
714C22×Dic3—32no—
715C22×Dic3—32no—
716C22×Dic3—32no—
717C22×Dic3—32no—
718C22×Dic3—32no—
719C22×Dic3—62no—
720C22×Dic3C22×D311yescharacteristic
721#239—64no—
722D3×Q8—64no—
723#237—38no—
724#237—64no—
725#237—64no—
726#237—64no—
727#237—68no—
728#237—68no—
729#237—68no—
730#237—124no—
731D3×D4—24no—
732D3×D4—24no—
733D3×D4—44no—
734D3×D4—64no—
735D3×D4—68no—
736D3×D4—64no—
737D3×D4—68no—
738D3×D4—68no—
739D3×D4—64no—
740D3×D4—124no—
741D3×D4—124no—
742#235—24no—
743#235—38no—
744#235—64no—
745#235—64no—
746#235—64no—
747#235—64no—
748#235—68no—
749#235—68no—
750#235—64no—
751#235—68no—
752#235—64no—
753#235—124no—
754C2×D12—31no—
755C2×D12—32no—
756C2×D12—32no—
757C2×D12—31no—
758C2×D12—31no—
759C2×D12—31no—
760C2×D12—31no—
761C2×D12—32no—
762C2×D12—32no—
763C2×D12—32no—
764C2×D12—32no—
765C2×D12—32no—
766C2×D12—61no—
767C2×D12—62no—
768C2×D12—64no—
769C2×D12—124no—
770C2×D12C22×D311yescharacteristic
771C2×D12C22×D312yes—
772C2×D12C22×D311yescharacteristic
773C2×C4×D3—24no—
774C2×C4×D3—32no—
775C2×C4×D3—32no—
776C2×C4×D3—32no—
777C2×C4×D3—31no—
778C2×C4×D3—32no—
779C2×C4×D3—32no—
780C2×C4×D3—31no—
781C2×C4×D3—32no—
782C2×C4×D3—32no—
783C2×C4×D3—32no—
784C2×C4×D3—62no—
785C2×C4×D3—61no—
786C2×C4×D3—68no—
787C2×C4×D3—68no—
788C2×C4×D3C22×D311yescharacteristic
789C2×C4×D3C22×D312yes—
790C2×C4×D3C22×D311yescharacteristic
791C2×C4×D3C22×D311yescharacteristic
792C2×C4×D3C22×D311yescharacteristic
793C2×C4×D3C22×D312yes—
794C2×C4×D3C22×D312yes—
795C2×C4×D3C22×D311yescharacteristic
796C2×Dic6—31no—
797C2×Dic6—31no—
798C2×Dic6—32no—
799C2×Dic6—32no—
800C2×Dic6—31no—
801C2×Dic6—31no—
802C2×Dic6—61no—
803C2×Dic6—64no—
804C2×Dic6C22×D311yescharacteristic
805C3×C4⋊C4—21no—
806C3×C4⋊C4—31no—
807C3×C4⋊C4—32no—
808C3×C4⋊C4—31no—
809C3×C4⋊C4—32no—
810C3×C4⋊C4C22×D311yescharacteristic
811C3×C4⋊C4C22×D311yescharacteristic
812C3×C22⋊C4—22no—
813C3×C22⋊C4—32no—
814C3×C22⋊C4—31no—
815C3×C22⋊C4—32no—
816C3×C22⋊C4—32no—
817C3×C22⋊C4—32no—
818C3×C22⋊C4—32no—
819C3×C22⋊C4—32no—
820C3×C22⋊C4—31no—
821C3×C22⋊C4—32no—
822C3×C22⋊C4C22×D312yes—
823C3×C22⋊C4C22×D312yes—
824C3×C42—31no—
825#217—31no—
826#217—31no—
827#217—32no—
828#217—32no—
829#217—31no—
830#217—32no—
831#217—31no—
832#217—31no—
833#217—31no—
834#217—31no—
835#217—61no—
836#217C22×D312yes—
837#217C22×D312yes—
838#217C22×D312yes—
839#217C22×D311yescharacteristic
840(C2×D3)⋊C4—31no—
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—31no—
848(C2×D3)⋊C4—31no—
849(C2×D3)⋊C4—32no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—31no—
852(C2×D3)⋊C4—31no—
853(C2×D3)⋊C4—32no—
854(C2×D3)⋊C4—32no—
855(C2×D3)⋊C4—31no—
856(C2×D3)⋊C4—32no—
857(C2×D3)⋊C4—32no—
858(C2×D3)⋊C4—62no—
859(C2×D3)⋊C4—61no—
860(C2×D3)⋊C4C22×D311yescharacteristic
861(C2×D3)⋊C4C22×D312yes—
862(C2×D3)⋊C4C22×D312yes—
863(C2×D3)⋊C4C22×D312yes—
864(C2×D3)⋊C4C22×D312yes—
865C4⋊Dic3—31no—
866C4⋊Dic3—32no—
867C4⋊Dic3—31no—
868C4⋊Dic3—31no—
869C4⋊Dic3C22×D311yescharacteristic
870C4⋊Dic3C22×D312yes—
871Dic3⋊C4—32no—
872Dic3⋊C4—31no—
873Dic3⋊C4—31no—
874Dic3⋊C4—32no—
875Dic3⋊C4—32no—
876Dic3⋊C4—31no—
877Dic3⋊C4—31no—
878Dic3⋊C4—31no—
879Dic3⋊C4—31no—
880Dic3⋊C4—32no—
881Dic3⋊C4—32no—
882Dic3⋊C4—31no—
883Dic3⋊C4—61no—
884Dic3⋊C4—62no—
885Dic3⋊C4C22×D312yes—
886Dic3⋊C4C22×D311yescharacteristic
887C4×Dic3—31no—
888C4×Dic3—32no—
889C4×Dic3—32no—
890C4×Dic3—31no—
891C4×Dic3—32no—
892C4×Dic3—32no—
893C4×Dic3—62no—
894C4×Dic3—61no—
895C4×Dic3C22×D311yescharacteristic
896C22×C32—21no—
897C22×C32—22no—
898C22×C32—22no—
899C22×C32—21no—
900C22×C32—21no—
901C22×C32—22no—
902C22×C32C2511yescharacteristic
903C2×C3⋊D3—22no—
904C2×C3⋊D3—21no—
905C2×C3⋊D3—21no—
906C2×C3⋊D3—22no—
907C2×C3⋊D3—22no—
908C2×C3⋊D3—21no—
909C2×C3×D3—21no—
910C2×C3×D3—22no—
911C2×C3×D3—21no—
912C2×C3×D3—21no—
913C2×C3×D3—22no—
914C2×C3×D3—21no—
915C2×C3×D3—22no—
916C2×C3×D3—21no—
917C2×C3×D3—21no—
918C2×C3×D3—22no—
919C2×C3×D3—22no—
920C2×C3×D3—21no—
921C2×C3×D3—44no—
922C2×C3×D3—84no—
923C2×C3×D3—84no—
924C2×C3×D3C22×D414yes—
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—21no—
933C3⋊Dic3—21no—
934C3⋊Dic3—21no—
935C3⋊Dic3C22×D414yes—
936C3×Dic3—21no—
937C3×Dic3—22no—
938C3×Dic3—21no—
939C3×Dic3—22no—
940C3×Dic3—21no—
941C3×Dic3—21no—
942C3×Dic3C22×D412yes—
943H(5,𝔽2)—188no—
944C2×#41—31no—
945C2×#41—91no—
946C2×#41—92no—
947C2×#41—91no—
948C2×#41—92no—
949C2×#41—91no—
950C2×#41—91no—
951C2×#41—92no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41—188no—
955C22×Q8—91no—
956C22×D4—31no—
957C22×D4—31no—
958C22×D4—32no—
959C22×D4—91no—
960C22×D4—92no—
961C22×D4—91no—
962C22×D4—92no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—92no—
966C22×D4—92no—
967C23×C4—31no—
968C23×C4—92no—
969#127—91no—
970#127—92no—
971#127—92no—
972#127—91no—
973#124—31no—
974#124—92no—
975#124—92no—
976#124—91no—
977#123—32no—
978#123—91no—
979#123—92no—
980#123—91no—
981C22⋊Q8—31no—
982C22⋊Q8—92no—
983C22⋊Q8—92no—
984C22⋊Q8—91no—
985C22⋊Q8—92no—
986C22⋊Q8—91no—
987C22⋊Q8—91no—
988#121—32no—
989#121—31no—
990#121—32no—
991#121—31no—
992#121—31no—
993#121—32no—
994#121—92no—
995#121—92no—
996#121—91no—
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—92no—
1006#121—91no—
1007#121—91no—
1008#121—92no—
1009#121—92no—
1010#121—91no—
1011#121—92no—
1012#121D3211yescharacteristic, complemented
1013#120—32no—
1014#120—92no—
1015#120—92no—
1016#120—91no—
1017#120—92no—
1018#120—92no—
1019#120—92no—
1020#120—92no—
1021#120—92no—
1022#120—91no—
1023C4×Q8—91no—
1024C4×Q8—91no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—91no—
1028C4×D4—92no—
1029C4×D4—92no—
1030C4×D4—92no—
1031C4×D4—91no—
1032C4×D4—92no—
1033C4×D4—92no—
1034C4×D4—91no—
1035C4×D4—91no—
1036C4×D4—92no—
1037#117—91no—
1038#117—92no—
1039C2×C4⋊C4—31no—
1040C2×C4⋊C4—92no—
1041C2×C22⋊C4—32no—
1042C2×C22⋊C4—32no—
1043C2×C22⋊C4—92no—
1044C23×C3—21no—
1045C23×C3—22no—
1046C23×C3—31no—
1047C23×C3—31no—
1048C23×C3—32no—
1049C23×C3—32no—
1050C23×C3—31no—
1051C23×C3—62no—
1052C23×C3—62no—
1053C23×C3—64no—
1054C23×C3—64no—
1055C23×C3—121no—
1056C23×C3—122no—
1057C23×C3—122no—
1058C23×C3—122no—
1059C23×C3—122no—
1060C23×C3C23×D311yescharacteristic
1061C23×C3C23×D311yescharacteristic
1062C23×C3C23×D312yes—
1063C23×C3C23×D312yes—
1064C22×D3—22no—
1065C22×D3—22no—
1066C22×D3—24no—
1067C22×D3—24no—
1068C22×D3—31no—
1069C22×D3—31no—
1070C22×D3—32no—
1071C22×D3—32no—
1072C22×D3—41no—
1073C22×D3—42no—
1074C22×D3—42no—
1075C22×D3—42no—
1076C22×D3—42no—
1077C22×D3—61no—
1078C22×D3—62no—
1079C22×D3—64no—
1080C22×D3—64no—
1081C22×D3—64no—
1082C22×D3—64no—
1083C22×D3—64no—
1084C22×D3—64no—
1085C22×D3—122no—
1086C22×D3—122no—
1087C22×D3—122no—
1088C22×D3—122no—
1089C22×D3—122no—
1090C22×D3—122no—
1091C22×D3C23×D312yes—
1092C22×D3C23×D311yescharacteristic
1093C22×D3C23×D311yescharacteristic
1094C22×D3C23×D312yes—
1095C22×D3C23×D311yescharacteristic
1096C3×Q8—62no—
1097C3×D4—22no—
1098C3×D4—22no—
1099C3×D4—34no—
1100C3×D4—42no—
1101C3×D4—42no—
1102C3×D4—42no—
1103C3×D4—64no—
1104C3×D4—64no—
1105C3×D4—64no—
1106C3×D4—64no—
1107C3×D4—64no—
1108C3×D4—62no—
1109C3×D4—82no—
1110C3×D4—121no—
1111C3×D4—122no—
1112C2×C3×C4—22no—
1113C2×C3×C4—22no—
1114C2×C3×C4—21no—
1115C2×C3×C4—22no—
1116C2×C3×C4—21no—
1117C2×C3×C4—31no—
1118C2×C3×C4—34no—
1119C2×C3×C4—31no—
1120C2×C3×C4—32no—
1121C2×C3×C4—31no—
1122C2×C3×C4—31no—
1123C2×C3×C4—32no—
1124C2×C3×C4—31no—
1125C2×C3×C4—42no—
1126C2×C3×C4—62no—
1127C2×C3×C4—64no—
1128C2×C3×C4—62no—
1129C2×C3×C4—62no—
1130C2×C3×C4—62no—
1131C2×C3×C4—62no—
1132C2×C3×C4—122no—
1133C2×C3×C4—122no—
1134C2×C3×C4C23×D312yes—
1135C2×C3×C4C23×D312yes—
1136C2×C3×C4C23×D311yescharacteristic
1137C2×C3×C4C23×D311yescharacteristic
1138C2×C3×C4C23×D311yescharacteristic
1139C2×C3×C4C23×D311yescharacteristic
1140#67—24no—
1141#67—24no—
1142#67—24no—
1143#67—24no—
1144#67—38no—
1145#67—38no—
1146#67—42no—
1147#67—41no—
1148#67—64no—
1149#67—64no—
1150#67—62no—
1151#67—62no—
1152#67—64no—
1153#67—64no—
1154#67—64no—
1155#67—64no—
1156#67—64no—
1157#67—64no—
1158#67—62no—
1159#67—64no—
1160#67—62no—
1161#67—62no—
1162#67—64no—
1163#67—62no—
1164#67—62no—
1165#67—124no—
1166#67—124no—
1167#67—122no—
1168#67—122no—
1169#67—122no—
1170#67—122no—
1171#67—122no—
1172#67—122no—
1173#67—121no—
1174#67—121no—
1175#67—122no—
1176#67—124no—
1177#67—122no—
1178#67—242no—
1179C2×Dic3—22no—
1180C2×Dic3—32no—
1181C2×Dic3—32no—
1182C2×Dic3—38no—
1183C2×Dic3—31no—
1184C2×Dic3—31no—
1185C2×Dic3—31no—
1186C2×Dic3—31no—
1187C2×Dic3—31no—
1188C2×Dic3—31no—
1189C2×Dic3—61no—
1190C2×Dic3—62no—
1191C2×Dic3—61no—
1192C2×Dic3—61no—
1193C2×Dic3—64no—
1194C2×Dic3—64no—
1195C2×Dic3—64no—
1196C2×Dic3—64no—
1197C2×Dic3—124no—
1198C2×Dic3—122no—
1199C2×Dic3C23×D311yescharacteristic
1200C2×Dic3C23×D312yes—
1201C2×Dic3C23×D311yescharacteristic
1202C2×Dic3C23×D311yescharacteristic
1203C2×Dic3C23×D311yescharacteristic
1204C2×Dic3C23×D312yes—
1205C2×Dic3C23×D311yescharacteristic
1206D12—24no—
1207D12—22no—
1208D12—62no—
1209D12—64no—
1210D12—62no—
1211D12—64no—
1212D12—62no—
1213D12—62no—
1214D12—62no—
1215D12—122no—
1216D12—122no—
1217D12—122no—
1218D12—122no—
1219D12—122no—
1220D12—122no—
1221D12—242no—
1222D12D3×D414yescomplemented
1223C4×D3—22no—
1224C4×D3—24no—
1225C4×D3—22no—
1226C4×D3—22no—
1227C4×D3—22no—
1228C4×D3—38no—
1229C4×D3—42no—
1230C4×D3—42no—
1231C4×D3—64no—
1232C4×D3—64no—
1233C4×D3—64no—
1234C4×D3—64no—
1235C4×D3—64no—
1236C4×D3—62no—
1237C4×D3—62no—
1238C4×D3—64no—
1239C4×D3—124no—
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—41no—
1252C2×C32—42no—
1253C2×C32C23×D411yescharacteristic
1254C2×C32C2×H(5,𝔽2)11yescharacteristic
1255C2×C32#58511yescharacteristic
1256C3⋊D3—42no—
1257C3⋊D3—41no—
1258C3×D3—22no—
1259C3×D3—24no—
1260C3×D3—22no—
1261C3×D3—42no—
1262C3×D3—41no—
1263C24—31no—
1264C24—32no—
1265C24—32no—
1266C24—92no—
1267C24—92no—
1268#41—64no—
1269#41—98no—
1270#41—184no—
1271#41—184no—
1272#41—184no—
1273#41—188no—
1274#41—188no—
1275#41—184no—
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—31no—
1290C2×D4—32no—
1291C2×D4—31no—
1292C2×D4—64no—
1293C2×D4—64no—
1294C2×D4—91no—
1295C2×D4—92no—
1296C2×D4—92no—
1297C2×D4—91no—
1298C2×D4—91no—
1299C2×D4—92no—
1300C2×D4—92no—
1301C2×D4—92no—
1302C2×D4—92no—
1303C2×D4—91no—
1304C2×D4—92no—
1305C2×D4—91no—
1306C2×D4—92no—
1307C2×D4—92no—
1308C2×D4—92no—
1309C2×D4—91no—
1310C2×D4—92no—
1311C2×D4—92no—
1312C2×D4—91no—
1313C2×D4—92no—
1314C2×D4—124no—
1315C2×D4—184no—
1316C2×D4—188no—
1317C2×D4—184no—
1318C2×D4—188no—
1319C2×D4—188no—
1320C2×D4—188no—
1321C2×D4—364no—
1322C2×D4—364no—
1323C2×D4C2×D3211yescharacteristic
1324C2×D4C2×D3212yes—
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—32no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—31no—
1332C22×C4—32no—
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—92no—
1342C22×C4—91no—
1343C22×C4—188no—
1344C22×C4C2×D3211yescharacteristic
1345C4⋊C4—32no—
1346C4⋊C4—31no—
1347C4⋊C4—31no—
1348C4⋊C4—32no—
1349C4⋊C4—91no—
1350C4⋊C4—92no—
1351C4⋊C4—91no—
1352C4⋊C4—91no—
1353C4⋊C4—91no—
1354C4⋊C4—92no—
1355C4⋊C4—92no—
1356C4⋊C4—91no—
1357C4⋊C4C2×D3211yescharacteristic
1358C22⋊C4—32no—
1359C22⋊C4—32no—
1360C22⋊C4—31no—
1361C22⋊C4—32no—
1362C22⋊C4—31no—
1363C22⋊C4—32no—
1364C22⋊C4—32no—
1365C22⋊C4—32no—
1366C22⋊C4—32no—
1367C22⋊C4—92no—
1368C22⋊C4—91no—
1369C22⋊C4—92no—
1370C22⋊C4—92no—
1371C22⋊C4—91no—
1372C22⋊C4—91no—
1373C22⋊C4—92no—
1374C22⋊C4—91no—
1375C22⋊C4—91no—
1376C22⋊C4—91no—
1377C22⋊C4—92no—
1378C22⋊C4—91no—
1379C22⋊C4—91no—
1380C22⋊C4—92no—
1381C22⋊C4C2×D3212yes—
1382C42—31no—
1383C42—92no—
1384C42—92no—
1385C42—91no—
1386C22×C3—21no—
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—21no—
1390C22×C3—22no—
1391C22×C3—21no—
1392C22×C3—21no—
1393C22×C3—21no—
1394C22×C3—22no—
1395C22×C3—22no—
1396C22×C3—22no—
1397C22×C3—21no—
1398C22×C3—21no—
1399C22×C3—34no—
1400C22×C3—32no—
1401C22×C3—32no—
1402C22×C3—42no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—42no—
1406C22×C3—42no—
1407C22×C3—41no—
1408C22×C3—61no—
1409C22×C3—62no—
1410C22×C3—61no—
1411C22×C3—62no—
1412C22×C3—61no—
1413C22×C3—61no—
1414C22×C3—62no—
1415C22×C3—61no—
1416C22×C3—61no—
1417C22×C3—62no—
1418C22×C3—61no—
1419C22×C3—62no—
1420C22×C3—124no—
1421C22×C3—244no—
1422C22×C3—244no—
1423C22×C3C24×D311yescharacteristic
1424C22×C3C24×D311yescharacteristic
1425C2×D3—21no—
1426C2×D3—21no—
1427C2×D3—21no—
1428C2×D3—22no—
1429C2×D3—21no—
1430C2×D3—22no—
1431C2×D3—21no—
1432C2×D3—22no—
1433C2×D3—22no—
1434C2×D3—22no—
1435C2×D3—21no—
1436C2×D3—21no—
1437C2×D3—44no—
1438C2×D3—62no—
1439C2×D3—62no—
1440C2×D3—61no—
1441C2×D3—61no—
1442C2×D3—61no—
1443C2×D3—62no—
1444C2×D3—62no—
1445C2×D3—62no—
1446C2×D3—61no—
1447C2×D3—61no—
1448C2×D3—61no—
1449C2×D3—62no—
1450C2×D3—84no—
1451C2×D3—84no—
1452C2×D3—122no—
1453C2×D3—121no—
1454C2×D3—121no—
1455C2×D3—122no—
1456C2×D3—122no—
1457C2×D3—121no—
1458C2×D3—128no—
1459C2×D3—128no—
1460C2×D3—244no—
1461C2×D3—244no—
1462C2×D3C2×D3×D414yes—
1463C2×D3C2×D3×D412yes—
1464C2×D3#100412yescomplemented
1465C3×C4—21no—
1466C3×C4—21no—
1467C3×C4—22no—
1468C3×C4—22no—
1469C3×C4—22no—
1470C3×C4—32no—
1471C3×C4—41no—
1472C3×C4—42no—
1473C3×C4—61no—
1474C3×C4—61no—
1475C3×C4—62no—
1476C3×C4—61no—
1477C3×C4—61no—
1478C3×C4—62no—
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—62no—
1491Dic3—61no—
1492Dic3—61no—
1493Dic3—61no—
1494Dic3—61no—
1495Dic3—61no—
1496Dic3—61no—
1497Dic3—121no—
1498Dic3—121no—
1499Dic3C2×D3×D412yes—
1500C32#348811yescharacteristic, complemented, Sylow
1501C23—32no—
1502C23—31no—
1503C23—31no—
1504C23—31no—
1505C23—32no—
1506C23—62no—
1507C23—62no—
1508C23—64no—
1509C23—64no—
1510C23—91no—
1511C23—92no—
1512C23—121no—
1513C23—122no—
1514C23—122no—
1515C23—122no—
1516C23—122no—
1517C23—184no—
1518C23—184no—
1519C23—184no—
1520C23—362no—
1521C23—362no—
1522C23—362no—
1523C23C22×D3212yes—
1524C23C22×D3211yescharacteristic
1525Q8—62no—
1526Q8—94no—
1527Q8—182no—
1528Q8—184no—
1529D4—22no—
1530D4—34no—
1531D4—42no—
1532D4—64no—
1533D4—64no—
1534D4—64no—
1535D4—64no—
1536D4—64no—
1537D4—62no—
1538D4—98no—
1539D4—122no—
1540D4—121no—
1541D4—182no—
1542D4—182no—
1543D4—184no—
1544D4—184no—
1545D4—182no—
1546D4—184no—
1547D4—184no—
1548D4—184no—
1549D4—182no—
1550D4—184no—
1551D4—182no—
1552D4—182no—
1553D4—362no—
1554D4—362no—
1555D4—362no—
1556D4—362no—
1557D4—362no—
1558D4—361no—
1559D4—362no—
1560C2×C4—22no—
1561C2×C4—31no—
1562C2×C4—34no—
1563C2×C4—31no—
1564C2×C4—31no—
1565C2×C4—32no—
1566C2×C4—31no—
1567C2×C4—32no—
1568C2×C4—31no—
1569C2×C4—62no—
1570C2×C4—62no—
1571C2×C4—64no—
1572C2×C4—62no—
1573C2×C4—62no—
1574C2×C4—62no—
1575C2×C4—98no—
1576C2×C4—92no—
1577C2×C4—91no—
1578C2×C4—91no—
1579C2×C4—91no—
1580C2×C4—122no—
1581C2×C4—122no—
1582C2×C4—184no—
1583C2×C4—184no—
1584C2×C4—184no—
1585C2×C4—184no—
1586C2×C4—184no—
1587C2×C4—182no—
1588C2×C4—362no—
1589C2×C4C22×D3212yes—
1590C2×C4C22×D3211yescharacteristic
1591C2×C4C22×D3211yescharacteristic
1592C2×C3—21no—
1593C2×C3—21no—
1594C2×C3—21no—
1595C2×C3—42no—
1596C2×C3—41no—
1597C2×C3—41no—
1598C2×C3—42no—
1599C2×C3—62no—
1600C2×C3—62no—
1601C2×C3—64no—
1602C2×C3—81no—
1603C2×C3—82no—
1604C2×C3—122no—
1605C2×C3—121no—
1606C2×C3C22×D3×D411yescharacteristic
1607C2×C3C22×D3×D411yescharacteristic
1608C2×C3C2×#100411yescharacteristic
1609C2×C3#596411yescharacteristic
1610C2×C3#596411yescharacteristic
1611C2×C3D3×H(5,𝔽2)11yescharacteristic
1612D3—24no—
1613D3—22no—
1614D3—22no—
1615D3—41no—
1616D3—42no—
1617D3—122no—
1618D3—121no—
1619D3—122no—
1620D3—121no—
1621D3—242no—
1622D3—241no—
1623C22—21no—
1624C22—22no—
1625C22—21no—
1626C22—22no—
1627C22—21no—
1628C22—22no—
1629C22—32no—
1630C22—34no—
1631C22—32no—
1632C22—61no—
1633C22—61no—
1634C22—62no—
1635C22—61no—
1636C22—61no—
1637C22—62no—
1638C22—61no—
1639C22—62no—
1640C22—62no—
1641C22—61no—
1642C22—61no—
1643C22—62no—
1644C22—124no—
1645C22—182no—
1646C22—181no—
1647C22—181no—
1648C22—182no—
1649C22—182no—
1650C22—181no—
1651C22—244no—
1652C22—244no—
1653C22—368no—
1654C22—724no—
1655C22C23×D3211yescharacteristic
1656C4—21no—
1657C4—22no—
1658C4—32no—
1659C4—61no—
1660C4—61no—
1661C4—62no—
1662C4—61no—
1663C4—62no—
1664C4—61no—
1665C4—94no—
1666C4—181no—
1667C4—181no—
1668C4—181no—
1669C4D32×D412yes—
1670C3—21no—
1671C3#8594911yescharacteristic, complemented
1672C3#8662911yescharacteristic, complemented
1673C2—41no—
1674C2—42no—
1675C2—62no—
1676C2—62no—
1677C2—64no—
1678C2—121no—
1679C2—122no—
1680C2—362no—
1681C2—361no—
1682C2C2×D32×D411yescharacteristic
1683C2D3×#100411yescharacteristic
1684C2#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×#64313C2semidirect
2. C2×D3×#235C2semidirect
3. #10596070C2semidirect
4. C3×#5612C2semidirect
5. C3×D3×#121C2semidirect
6. #10595288C2semidirect
7. #10595288C2semidirect
8. #10595287C2semidirect
9. #10595285C2semidirect
10. #10595235C2semidirect
11. #10595161C2semidirect
12. #10595132C2semidirect
13. #10595070C2semidirect
14. #10595002C2semidirect
15. #10594919C2semidirect
16. #10594621C2semidirect
17. #10594525C2semidirect
18. #10594523C2semidirect
19. #10594359C2semidirect
20. #10594272C2semidirect
21. #10594267C2semidirect
22. D3×#884C2semidirect
23. #10594183C2semidirect
26. C2×#3830C22semidirect
27. C2×#3828C22semidirect
28. C2×C3×D3×D4C22semidirect
29. C2×C3×D3×D4C22semidirect
30. C2×C3×D3×D4C22semidirect
31. C2×C3×#235C22semidirect
32. C22×C3×C4×D3C22semidirect
33. C2×D3×#67C22semidirect
34. C2×D3×#67C22semidirect
35. C2×D3×#67C22semidirect
36. C2×D3×#67C22semidirect
37. C22×#625C22semidirect
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
50. C2×#3795C22semidirect
51. C2×D3×Dic6C22semidirect
52. C32×#121C22semidirect
53. #64149C22semidirect
54. #64149C22semidirect
55. #64148C22semidirect
56. C4×#638C22semidirect
57. #64104C22semidirect
58. #64096C22semidirect
59. #64093C22semidirect
60. #64090C22semidirect
61. C3×#939C22semidirect
62. C3×#938C22semidirect
63. C3×#938C22semidirect
64. C3×#937C22semidirect
65. C3×#936C22semidirect
66. C3×#930C22semidirect
67. C3×C4×#67C22semidirect
68. C3×#897C22semidirect
69. C3×#895C22semidirect
70. C3×#893C22semidirect
71. C3×D3×C4⋊C4C22semidirect
72. C3×#884C22semidirect
73. C3×#883C22semidirect
74. C3×D3×C22⋊C4C22semidirect
75. C3×D3×C22⋊C4C22semidirect
76. #63983C22semidirect
77. #63983C22semidirect
78. #63982C22semidirect
79. #63979C22semidirect
80. #63978C22semidirect
81. #63977C22semidirect
82. #63977C22semidirect
83. #63977C22semidirect
84. #63977C22semidirect
85. #63976C22semidirect
86. #67⋊Dic3C22semidirect
87. #63971C22semidirect
88. #63971C22semidirect
89. #63971C22semidirect
90. #63970C22semidirect
91. #63964C22semidirect
92. #63958C22semidirect
93. #63958C22semidirect
94. #63953C22semidirect
95. #63923C22semidirect
96. #63922C22semidirect
97. D3×(C2×D3)⋊C4C22semidirect
98. #63915C22semidirect
99. #63912C22semidirect
100. #63911C22semidirect
101. #63910C22semidirect
102. #63909C22semidirect
103. #63909C22semidirect
104. #63906C22semidirect
105. #63906C22semidirect
106. #63906C22semidirect
107. #63905C22semidirect
108. #63905C22semidirect
109. C4×#626C22semidirect
110. C4×#625C22semidirect
111. C4×#625C22semidirect
112. #63899C22semidirect
113. #63898C22semidirect
114. #63898C22semidirect
115. #63895C22semidirect
116. #63885C22semidirect
117. #63881C22semidirect
118. #63879C22semidirect
119. #63878C22semidirect
120. D3×Dic3⋊C4C22semidirect
121. #63871C22semidirect
122. #63863C22semidirect
123. #63855C22semidirect
124. #63851C22semidirect
125. #63850C22semidirect
126. #63844C22semidirect
146. #5612D3semidirect
154. D3×#121D3semidirect
254. #3795D4semidirect
330. C2×D3×D4C2×D3semidirect
331. C2×D3×D4C2×D3semidirect
332. C2×D3×D4C2×D3semidirect
345. C2×#235C2×D3semidirect
350. C22×C4×D3C2×D3semidirect
362. C3×#121C2×D3semidirect
363. C3×#121C2×D3semidirect
395. #939C2×D3semidirect
399. #938C2×D3semidirect
400. #938C2×D3semidirect
407. #937C2×D3semidirect
409. #936C2×D3semidirect
419. #930C2×D3semidirect
432. C4×#67C2×D3semidirect
440. #897C2×D3semidirect
450. #895C2×D3semidirect
455. #893C2×D3semidirect
458. D3×C4⋊C4C2×D3semidirect
482. #884C2×D3semidirect
485. #883C2×D3semidirect
500. D3×C22⋊C4C2×D3semidirect
501. D3×C22⋊C4C2×D3semidirect
555. #634C2×D4semidirect
572. C3×D12C2×D4semidirect
580. C3×C4×D3C2×D4semidirect
596. #625C2×D4semidirect
601. D3×Dic3C2×D4semidirect
926. C2×C3×D3H(5,𝔽2)semidirect
1012. #121D32semidirect
1222. D12D3×D4semidirect
1242. C4×D3D3×D4semidirect
1464. C2×D3#1004semidirect
1500. C32#3488semidirect
1671. C3#85949semidirect
1672. C3#86629semidirect

Maximal subgroups

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

subgroupindex
C2×#643132
C2×D3×#2352
#105960702
C3×#56122
C3×D3×#1212
#105952882
#105952872
#105952852
#105952352
#105951612
#105951322
#105950702
#105950022
#105949192
#105946212
#105945252
#105945232
#105943592
#105942722
#105942672
D3×#8842
#105941832
#866293
#859493