Finite Group Databasebeta

← #11904622

Subgroups — #11904622

Order 1152.

3461 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64313C211yesmaximal, characteristic, complemented
2C22×#3795C211yesmaximal, characteristic, complemented
3#10596069C211yesmaximal, characteristic, complemented
4C3×#5609C211yesmaximal, characteristic, complemented
5C3×D3×#121C211yesmaximal, characteristic, complemented
6#10595287C212yesmaximal, complemented
7D3×#939C212yesmaximal, complemented
8#10595233C211yesmaximal, characteristic, complemented
9#10595228C211yesmaximal, characteristic, complemented
10D4×#625C212yesmaximal, complemented
11#10595164C211yesmaximal, characteristic, complemented
12#10595130C212yesmaximal, complemented
13#10595069C211yesmaximal, characteristic, complemented
14#10595002C211yesmaximal, characteristic, complemented
15#10594918C211yesmaximal, characteristic, complemented
16#10594630C211yesmaximal, characteristic, complemented
17#10594527C211yesmaximal, characteristic, complemented
18#10594522C211yesmaximal, characteristic, complemented
19#10594359C211yesmaximal, characteristic, complemented
20#10594273C212yesmaximal, complemented
21#10594269C212yesmaximal, complemented
22#10594184C212yesmaximal, complemented
23#10594060C212yesmaximal, complemented
24#86607—31nomaximal
25#85949—31nomaximal
26C2×#3830C2211yescharacteristic, complemented
27C22×#634C2211yescharacteristic, complemented
28C2×C3×D3×D4C2211yescharacteristic, complemented
29C2×C3×D3×D4C2211yescharacteristic, complemented
30C2×C3×D3×D4C2212yescomplemented
31C2×C3×D3×D4C2212yescomplemented
32C22×C3×D12C2211yescharacteristic, complemented
33C22×C3×C4×D3C2211yescharacteristic, complemented
34C2×D3×#67C2212yescomplemented
35C2×D3×#67C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C22×#625C2212yescomplemented
38C22×#625C2212yescomplemented
39C2×#3805C2212yescomplemented
40C22×D3×Dic3C2212yescomplemented
41#64313—28no—
42C2×#3802C2211yescharacteristic, complemented
43C2×#3798C2211yescharacteristic, complemented
44C2×#3795—28no—
45C2×#3795C2211yescharacteristic
46C2×#3795C2212yescomplemented
47C2×#3795C2211yescharacteristic, complemented
48C2×#3795C2211yescharacteristic, complemented
49C2×#3795C2212yescomplemented
50C2×#3795C2211yescharacteristic, complemented
51C2×#3795C2211yescharacteristic, complemented
52C32×#121C2211yescharacteristic, complemented
53#64148C2212yescomplemented
54#64145C2211yescharacteristic, complemented
55D4×C3⋊Dic3C2212yescomplemented
56C4×#638C2211yescharacteristic, complemented
57#64106C2211yescharacteristic, complemented
58#64096C2211yescharacteristic, complemented
59#64094C2212yescomplemented
60#64087C2212yescomplemented
61C3×#940C2211yescharacteristic, complemented
62C3×#939C2212yescomplemented
63C3×#938C2211yescharacteristic, complemented
64C3×#937C2212yescomplemented
65C3×#930C2211yescharacteristic, complemented
66C3×C4×#67C2211yescharacteristic, complemented
67C3×#895C2211yescharacteristic, complemented
68C3×#895C2211yescharacteristic, complemented
69C3×#893C2211yescharacteristic, complemented
70C3×D3×C4⋊C4C2211yescharacteristic, complemented
71C3×#884C2212yescomplemented
72C3×#884C2212yescomplemented
73C3×#882C2212yescomplemented
74C3×D3×C22⋊C4C2212yescomplemented
75#63980C2212yescomplemented
76#63980C2212yescomplemented
77#63979C2212yescomplemented
78#63978C2211yescharacteristic, complemented
79#63977C2211yescharacteristic, complemented
80#63976C2212yescomplemented
81#63976C2212yescomplemented
82#63976C2211yescharacteristic, complemented
83#63976C2212yescomplemented
84#63976C2212yescomplemented
85#67⋊Dic3C2212yescomplemented
86#67⋊Dic3C2212yescomplemented
87#63971C2212yescomplemented
88#63970C2212yescomplemented
89#63970C2212yescomplemented
90#63970C2212yescomplemented
91#63969C2212yescomplemented
92D3×#217C2212yescomplemented
93#63964C2211yescharacteristic, complemented
94#63922C2212yescomplemented
95#63922C2212yescomplemented
96D3×(C2×D3)⋊C4C2212yescomplemented
97#63916C2211yescharacteristic, complemented
98#63914C2212yescomplemented
99#63914C2211yescharacteristic, complemented
100#63913C2212yescomplemented
101#63908C2212yescomplemented
102#63908C2212yescomplemented
103#63906C2211yescharacteristic, complemented
104#63906C2212yescomplemented
105#63905C2211yescharacteristic, complemented
106C4×#626C2211yescharacteristic, complemented
107#63902C2212yescomplemented
108C4×#625C2212yescomplemented
109C4×#625C2211yescharacteristic, complemented
110#63898C2211yescharacteristic, complemented
111#63896C2212yescomplemented
112#63893C2212yescomplemented
113#63891C2212yescomplemented
114#63886C2212yescomplemented
115#63885C2212yescomplemented
116#63885C2212yescomplemented
117#63885C2212yescomplemented
118#63879C2212yescomplemented
119#63878C2212yescomplemented
120D3×Dic3⋊C4C2212yescomplemented
121#63860C2211yescharacteristic, complemented
122#63857C2211yescharacteristic, complemented
123#63855C2211yescharacteristic, complemented
124#63851C2211yescharacteristic, complemented
125#63850C2211yescharacteristic, complemented
126#63844C2211yescharacteristic, complemented
127C2×#1004—31no—
128C2×#1004—31no—
129C22×#237—31no—
130C22×#235—31no—
131C3×D42—31no—
132C2×C3×#121—31no—
133#5806—31no—
134#5805—31no—
135C2×#939—32no—
136D4×#67—32no—
137D4×#67—32no—
138D4×#67—32no—
139D4×#67—31no—
140#5791—31no—
141#5718—31no—
142#5715—31no—
143#5612—31no—
144#5612—31no—
145#5610—32no—
146#5609—31no—
147#5609D311yescharacteristic, complemented
148#5608—31no—
149#5608—32no—
150#5607—32no—
151#5606—32no—
152D3×#121—32no—
153D3×#121D311yescharacteristic, complemented
154#5599—31no—
155#5599—31no—
156#5599—31no—
157#5598—31no—
158#5598—31no—
159#5598—31no—
160#5598—61no—
161#5597—32no—
162#5592—32no—
163#5591—32no—
164#5590—32no—
165#5586—32no—
166#5554—31no—
167#5552—31no—
168#5547—31no—
169#5546—31no—
170#5510—31no—
171#5504—31no—
172#5490—32no—
173#5490—32no—
174C23×C3×D3C2312yes—
175C23×C3×D3C2311yescharacteristic
176C23×C3×D3C2312yes—
177C23×C3×D3C2312yes—
178C22×D32C2312yes—
179C2×C32×D4C2312yes—
180C2×C32×D4C2311yescharacteristic
181C22×C32×C4C2311yescharacteristic
182C2×#638C2312yes—
183C2×#638C2311yescharacteristic
184C22×C3⋊Dic3C2312yes—
185C22×C3⋊Dic3C2312yes—
186#3830—24no—
187C2×C4×C3⋊D3C2311yescharacteristic
188C2×#634—24no—
189C2×#634C2312yes—
190C2×#634C2311yescharacteristic
191C2×#634C2311yescharacteristic
192C2×C3×#67C2312yes—
193C2×C3×#67C2312yes—
194C2×C3×#67C2311yescharacteristic
195C2×C3×#67C2312yes—
196C2×C3×#67C2312yes—
197C2×C3×#67C2312yes—
198C2×C3×#67C2312yes—
199C22×C3×Dic3C2311yescharacteristic
200C3×D3×D4—24no—
201C3×D3×D4—24no—
202C3×D3×D4—44no—
203C3×D3×D4—44no—
204C2×C3×D12—24no—
205C2×C3×D12C2312yes—
206C2×C3×D12C2311yescharacteristic
207C2×C3×D12C2311yescharacteristic
208C2×C3×D12C2312yes—
209C2×C3×D12C2312yes—
210C2×C3×D12C2311yescharacteristic
211C2×C3×C4×D3—24no—
212C2×C3×C4×D3C2311yescharacteristic
213C2×C3×C4×D3C2311yescharacteristic
214C2×C3×C4×D3C2311yescharacteristic
215C2×C3×C4×D3C2311yescharacteristic
216C2×C3×C4×D3C2312yes—
217C2×C3×C4×D3C2312yes—
218C2×C3×C4×D3C2311yescharacteristic
219D3×#67—28no—
220D3×#67—28no—
221D3×#67—44no—
222C2×#627C2311yescharacteristic
223C2×#626C2311yescharacteristic
224C2×#626C2311yescharacteristic
225C2×#626C2312yes—
226C2×#626C2311yescharacteristic
227C2×#625—28no—
228C2×#625—28no—
229C2×#625C2312yes—
230C2×#625C2312yes—
231C2×#625C2312yes—
232C2×#625C2312yes—
233C2×#625C2311yescharacteristic
234C2×#625C2312yes—
235C2×#625C2312yes—
236C2×#625C2311yescharacteristic
237C2×#625C2312yes—
238C2×#625C2312yes—
239#3805—28no—
240C2×D3×Dic3—28no—
241C2×D3×Dic3C2312yes—
242C2×D3×Dic3C2312yes—
243C2×D3×Dic3C2312yes—
244C2×D3×Dic3C2312yes—
245C2×D3×Dic3C2312yes—
246C2×D3×Dic3C2312yes—
247#3802—24no—
248#3798—24no—
249#3795—24no—
250#3795—24no—
251#3795—24no—
252#3795—24no—
253#3795—28no—
254#3795—28no—
255#3795D418yescomplemented
256C32×C4⋊C4C2311yescharacteristic
257C32×C22⋊C4C2312yes—
258#3757C2312yes—
259#3757C2312yes—
260#3757C2311yescharacteristic
261#3752C2311yescharacteristic
262#3752C2312yes—
263C4⋊(C3⋊Dic3)C2312yes—
264#3750C2311yescharacteristic
265#3750C2312yes—
266C4×C3⋊Dic3C2312yes—
267C4×C3⋊Dic3C2311yescharacteristic
268C3×#217C2312yes—
269C3×#217C2311yescharacteristic
270C3×(C2×D3)⋊C4C2312yes—
271C3×(C2×D3)⋊C4C2312yes—
272C3×(C2×D3)⋊C4C2311yescharacteristic
273C3×(C2×D3)⋊C4C2312yes—
274C3×(C2×D3)⋊C4C2312yes—
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(C2×D3)⋊Dic3C2311yescharacteristic
287(C2×D3)⋊Dic3C2311yescharacteristic
288(C2×D3)⋊Dic3C2311yescharacteristic
289(C2×D3)⋊Dic3C2311yescharacteristic
290(C2×D3)⋊Dic3C2312yes—
291(C2×D3)⋊Dic3C2312yes—
292(C2×D3)⋊Dic3C2312yes—
293(C2×D3)⋊Dic3C2312yes—
294(C2×D3)⋊Dic3C2311yescharacteristic
295(C2×D3)⋊Dic3C2312yes—
296Dic32C2312yes—
297#3488—91noSylow
298C22×C3×D4—31no—
299C22×C3×D4—31no—
300C22×C3×D4—32no—
301C22×C3×D4—32no—
302C22×C3×D4—31no—
303C23×C3×C4—31no—
304C22×#67—32no—
305C22×#67—32no—
306C22×#67—32no—
307C22×#67—32no—
308C22×#67—32no—
309C22×#67—32no—
310C22×#67—32no—
311C23×Dic3—32no—
312#1004—68no—
313#1004—68no—
314C2×#237—31no—
315C2×#237—31no—
316C2×#237—32no—
317C2×#237—32no—
318C2×#237—31no—
319C2×#237—31no—
320C2×#237—31no—
321C2×#237—31no—
322C2×#237—32no—
323C2×#237—32no—
324C2×#237—31no—
325C2×#237—61no—
326C2×#237—68no—
327C2×D3×D4—32no—
328C2×D3×D4—32no—
329C2×D3×D4—32no—
330C2×D3×D4—31no—
331C2×D3×D4—31no—
332C2×D3×D4C2×D311yescharacteristic, complemented
333C2×D3×D4C2×D311yescharacteristic, complemented
334C2×D3×D4C2×D312yescomplemented
335C2×D3×D4C2×D312yescomplemented
336C2×#235—31no—
337C2×#235—32no—
338C2×#235—31no—
339C2×#235—31no—
340C2×#235—32no—
341C2×#235—31no—
342C2×#235—31no—
343C2×#235—31no—
344C2×#235—31no—
345C2×#235—68no—
346C22×D12C2×D311yescharacteristic, complemented
347C22×C4×D3—32no—
348C22×C4×D3C2×D311yescharacteristic, complemented
349C22×Dic6—31no—
350C22×Dic6—31no—
351C22×Dic6—61no—
352C3×#127—31no—
353C3×#121—21no—
354C3×#121—31no—
355C3×#121—32no—
356C3×#121—31no—
357C3×#121—31no—
358C3×#121—31no—
359C3×#121—32no—
360C3×#121—32no—
361C3×#121C2×D311yescharacteristic, complemented
362C3×#121C2×D311yescharacteristic, complemented
363C3×#120—32no—
364C3×#120—32no—
365C3×C4×D4—31no—
366C3×C4×D4—31no—
367C2×C3×C4⋊C4—31no—
368C2×C3×C22⋊C4—32no—
369#953—32no—
370#953—32no—
371#953—31no—
372#953—32no—
373#953—32no—
374#953—31no—
375C2×#217—32no—
376#940—32no—
377#940—32no—
378#940—31no—
379#940—32no—
380#940—32no—
381#940—31no—
382#940C2×D311yescharacteristic, complemented
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—31no—
393#939—32no—
394#939—32no—
395#939—32no—
396#939—32no—
397#939—32no—
398#939—62no—
399#939C2×D312yescomplemented
400#938—32no—
401#938—32no—
402#938—32no—
403#938—32no—
404#938—32no—
405#938—31no—
406#938C2×D311yescharacteristic, complemented
407#937—32no—
408#937—32no—
409#937—31no—
410#937—32no—
411#937—32no—
412#937—32no—
413#937—32no—
414#937C2×D312yescomplemented
415#936—31no—
416#936—31no—
417#936—31no—
418#936—61no—
419#935—32no—
420D4×Dic3—32no—
421D4×Dic3—32no—
422D4×Dic3—32no—
423D4×Dic3—32no—
424D4×Dic3—31no—
425D4×Dic3—62no—
426#930—31no—
427#930—32no—
428#930—32no—
429#930—32no—
430#930—31no—
431#930C2×D311yescharacteristic, complemented
432#929—31no—
433#929—31no—
434C4×#67—31no—
435C4×#67—31no—
436C4×#67—32no—
437C4×#67—31no—
438C4×#67—32no—
439C4×#67—31no—
440C4×#67—32no—
441C4×#67—31no—
442C4×#67—61no—
443C4×#67C2×D311yescharacteristic, complemented
444C2×(C2×D3)⋊C4—32no—
445#926—31no—
446#924—31no—
447#924—31no—
448#924—31no—
449C2×Dic3⋊C4—32no—
450#897—31no—
451#897—31no—
452#897—31no—
453#897—32no—
454#897—61no—
455#896—31no—
456#896—32no—
457#895—32no—
458#895—31no—
459#895C2×D311yescharacteristic, complemented
460#895C2×D311yescharacteristic, complemented
461#894—31no—
462#893—31no—
463#893C2×D311yescharacteristic, complemented
464#892—32no—
465D3×C4⋊C4—32no—
466D3×C4⋊C4C2×D311yescharacteristic, complemented
467#887—31no—
468#887—31no—
469#887—31no—
470#887—61no—
471#886—32no—
472#885—32no—
473#885—32no—
474#885—32no—
475#885—32no—
476#885—62no—
477#884—32no—
478#884—32no—
479#884—32no—
480#884—32no—
481#884—31no—
482#884—32no—
483#884C2×D312yescomplemented
484#884C2×D312yescomplemented
485#883—32no—
486#883—31no—
487#883—32no—
488#882—31no—
489#882—32no—
490#882—32no—
491#882C2×D312yescomplemented
492#67⋊C4—32no—
493#67⋊C4—32no—
494#67⋊C4—32no—
495#67⋊C4—32no—
496#67⋊C4—32no—
497D3×C22⋊C4—32no—
498D3×C22⋊C4—32no—
499D3×C22⋊C4C2×D312yescomplemented
500#878—31no—
501#878—32no—
502#878—32no—
503#878—32no—
504#878—32no—
505#878—62no—
506#877—32no—
507#875—31no—
508C4×D12—31no—
509#872—31no—
510C4×Dic6—31no—
511C23×C32C2412yes—
512C23×C32C2411yescharacteristic
513C22×C3⋊D3C2411yescharacteristic
514C22×C3×D3—24no—
515C22×C3×D3—22no—
516C22×C3×D3—24no—
517C22×C3×D3—22no—
518C22×C3×D3—24no—
519C22×C3×D3—24no—
520C22×C3×D3—42no—
521C22×C3×D3—41no—
522C22×C3×D3—42no—
523C22×C3×D3—42no—
524C22×C3×D3—42no—
525C22×C3×D3—42no—
526C22×C3×D3C2412yes—
527C22×C3×D3C2411yescharacteristic
528C22×C3×D3C2411yescharacteristic
529C22×C3×D3C2412yes—
530C22×C3×D3C2412yes—
531C22×C3×D3C2411yescharacteristic
532C2×D32—24no—
533C2×D32—42no—
534C2×D32—42no—
535C32×D4—24no—
536C32×D4—22no—
537C2×C32×C4—22no—
538C2×C32×C4C2412yes—
539C2×C32×C4C2411yescharacteristic
540C2×C32×C4C2411yescharacteristic
541#638—22no—
542#638—24no—
543C2×C3⋊Dic3—24no—
544C2×C3⋊Dic3—24no—
545C2×C3⋊Dic3C2411yescharacteristic
546C2×C3⋊Dic3C2411yescharacteristic
547C2×C3⋊Dic3C2411yescharacteristic
548C2×C3⋊Dic3C2412yes—
549C2×C3⋊Dic3C2412yes—
550C4×C3⋊D3—22no—
551#634—22no—
552#634—24no—
553#634C2×D414yescomplemented
554C3×#67—24no—
555C3×#67—22no—
556C3×#67—24no—
557C3×#67—24no—
558C3×#67—42no—
559C3×#67—42no—
560C3×#67—42no—
561C2×C3×Dic3—22no—
562C2×C3×Dic3C2411yescharacteristic
563C2×C3×Dic3C2412yes—
564C2×C3×Dic3C2411yescharacteristic
565C2×C3×Dic3C2411yescharacteristic
566C2×C3×Dic3C2411yescharacteristic
567C2×C3×Dic3C2411yescharacteristic
568C3×D12—24no—
569C3×D12—22no—
570C3×D12—22no—
571C3×D12—42no—
572C3×D12—42no—
573C3×D12C2×D414yescomplemented
574C3×C4×D3—22no—
575C3×C4×D3—22no—
576C3×C4×D3—22no—
577C3×C4×D3—22no—
578C3×C4×D3—42no—
579C3×C4×D3—42no—
580C3×C4×D3C2×D414yescomplemented
581#627—22no—
582#626—22no—
583#626—22no—
584#626—41no—
585#626—42no—
586#625—24no—
587#625—24no—
588#625—22no—
589#625—24no—
590#625—24no—
591#625—24no—
592#625—41no—
593#625—42no—
594#625—42no—
595#625C2×D418yescomplemented
596D3×Dic3—24no—
597D3×Dic3—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—92no—
609#546—92no—
610#546—91no—
611#546—91no—
612D42—31no—
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—
628C24×C3—32no—
629C23×D3—32no—
630C23×D3—32no—
631C23×D3C22×D311yescharacteristic
632C23×D3C22×D312yes—
633C23×D3C22×D312yes—
634C23×D3C22×D312yes—
635C2×C3×D4—22no—
636C2×C3×D4—21no—
637C2×C3×D4—32no—
638C2×C3×D4—32no—
639C2×C3×D4—31no—
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—32no—
649C2×C3×D4—32no—
650C2×C3×D4—64no—
651C2×C3×D4—64no—
652C2×C3×D4—64no—
653C2×C3×D4—124no—
654C2×C3×D4—124no—
655C2×C3×D4C22×D312yes—
656C2×C3×D4C22×D312yes—
657C2×C3×D4C22×D311yescharacteristic
658C2×C3×D4C22×D311yescharacteristic
659C22×C3×C4—21no—
660C22×C3×C4—31no—
661C22×C3×C4—31no—
662C22×C3×C4—31no—
663C22×C3×C4—31no—
664C22×C3×C4—31no—
665C22×C3×C4—31no—
666C22×C3×C4—32no—
667C22×C3×C4—32no—
668C22×C3×C4—64no—
669C22×C3×C4C22×D311yescharacteristic
670C22×C3×C4C22×D311yescharacteristic
671C2×#67—32no—
672C2×#67—32no—
673C2×#67—31no—
674C2×#67—32no—
675C2×#67—32no—
676C2×#67—31no—
677C2×#67—32no—
678C2×#67—32no—
679C2×#67—31no—
680C2×#67—32no—
681C2×#67—32no—
682C2×#67—32no—
683C2×#67—32no—
684C2×#67—32no—
685C2×#67—31no—
686C2×#67—32no—
687C2×#67—32no—
688C2×#67—32no—
689C2×#67—32no—
690C2×#67—32no—
691C2×#67—32no—
692C2×#67—31no—
693C2×#67—32no—
694C2×#67—31no—
695C2×#67—31no—
696C2×#67—31no—
697C2×#67—32no—
698C2×#67—31no—
699C2×#67—62no—
700C2×#67—61no—
701C2×#67—68no—
702C2×#67—68no—
703C2×#67—68no—
704C2×#67—68no—
705C2×#67—68no—
706C2×#67—68no—
707C2×#67—124no—
708C2×#67C22×D312yes—
709C2×#67C22×D312yes—
710C2×#67C22×D312yes—
711C2×#67C22×D311yescharacteristic
712C2×#67C22×D312yes—
713C2×#67C22×D312yes—
714C2×#67C22×D312yes—
715C22×Dic3—32no—
716C22×Dic3—32no—
717C22×Dic3—32no—
718C22×Dic3—32no—
719C22×Dic3—32no—
720C22×Dic3—32no—
721C22×Dic3—32no—
722C22×Dic3—32no—
723C22×Dic3—32no—
724C22×Dic3—32no—
725C22×Dic3—62no—
726C22×Dic3—62no—
727C22×Dic3—68no—
728C22×Dic3C22×D311yescharacteristic
729#237—38no—
730#237—64no—
731#237—64no—
732#237—64no—
733#237—64no—
734#237—68no—
735#237—68no—
736#237—64no—
737#237—68no—
738#237—68no—
739#237—64no—
740#237—124no—
741D3×D4—24no—
742D3×D4—24no—
743D3×D4—44no—
744D3×D4—44no—
745D3×D4—68no—
746D3×D4—64no—
747D3×D4—68no—
748D3×D4—64no—
749D3×D4—124no—
750#235—38no—
751#235—64no—
752#235—64no—
753#235—64no—
754#235—68no—
755#235—68no—
756#235—64no—
757#235—64no—
758#235—64no—
759C2×D12—24no—
760C2×D12—31no—
761C2×D12—31no—
762C2×D12—31no—
763C2×D12—32no—
764C2×D12C22×D311yescharacteristic
765C2×D12C22×D312yes—
766C2×D12C22×D311yescharacteristic
767C2×D12C22×D312yes—
768C2×D12C22×D312yes—
769C2×D12C22×D311yescharacteristic
770C2×C4×D3—24no—
771C2×C4×D3—32no—
772C2×C4×D3—32no—
773C2×C4×D3—32no—
774C2×C4×D3—32no—
775C2×C4×D3—32no—
776C2×C4×D3—31no—
777C2×C4×D3—31no—
778C2×C4×D3—32no—
779C2×C4×D3—61no—
780C2×C4×D3—68no—
781C2×C4×D3C22×D311yescharacteristic
782C2×C4×D3C22×D311yescharacteristic
783C2×C4×D3C22×D311yescharacteristic
784C2×C4×D3C22×D311yescharacteristic
785C2×C4×D3C22×D312yes—
786C2×C4×D3C22×D312yes—
787C2×C4×D3C22×D311yescharacteristic
788C2×Dic6—31no—
789C2×Dic6—31no—
790C2×Dic6—31no—
791C2×Dic6—32no—
792C2×Dic6—32no—
793C2×Dic6—31no—
794C2×Dic6—31no—
795C2×Dic6—31no—
796C2×Dic6—61no—
797C2×Dic6—62no—
798C2×Dic6—61no—
799C2×Dic6—64no—
800C2×Dic6—64no—
801C2×Dic6—124no—
802C3×C4⋊C4—21no—
803C3×C4⋊C4—31no—
804C3×C4⋊C4—32no—
805C3×C4⋊C4—31no—
806C3×C4⋊C4C22×D311yescharacteristic
807C3×C4⋊C4C22×D311yescharacteristic
808C3×C22⋊C4—22no—
809C3×C22⋊C4—31no—
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⋊C4C22×D312yes—
817C3×C22⋊C4C22×D312yes—
818C3×C42—31no—
819#217—32no—
820#217—31no—
821#217—32no—
822#217—32no—
823#217—32no—
824#217—31no—
825#217—32no—
826#217—32no—
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—62no—
836#217—62no—
837#217—61no—
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—32no—
844(C2×D3)⋊C4—32no—
845(C2×D3)⋊C4—31no—
846(C2×D3)⋊C4—32no—
847(C2×D3)⋊C4—32no—
848(C2×D3)⋊C4—32no—
849(C2×D3)⋊C4—31no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—31no—
852(C2×D3)⋊C4—32no—
853(C2×D3)⋊C4—31no—
854(C2×D3)⋊C4—31no—
855(C2×D3)⋊C4—31no—
856(C2×D3)⋊C4—61no—
857(C2×D3)⋊C4—62no—
858(C2×D3)⋊C4C22×D312yes—
859(C2×D3)⋊C4C22×D312yes—
860(C2×D3)⋊C4C22×D312yes—
861(C2×D3)⋊C4C22×D311yescharacteristic
862(C2×D3)⋊C4C22×D312yes—
863C4⋊Dic3—32no—
864C4⋊Dic3—32no—
865C4⋊Dic3—31no—
866C4⋊Dic3—32no—
867C4⋊Dic3—31no—
868C4⋊Dic3—31no—
869C4⋊Dic3—62no—
870C4⋊Dic3C22×D311yescharacteristic
871Dic3⋊C4—31no—
872Dic3⋊C4—31no—
873Dic3⋊C4—32no—
874Dic3⋊C4—32no—
875Dic3⋊C4—32no—
876Dic3⋊C4—31no—
877Dic3⋊C4—31no—
878Dic3⋊C4—31no—
879Dic3⋊C4—32no—
880Dic3⋊C4—32no—
881Dic3⋊C4—31no—
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—21no—
898C22×C32—22no—
899C22×C32—22no—
900C22×C32—22no—
901C22×C32H(5,𝔽2)12yescomplemented
902C22×C32C2511yescharacteristic
903C2×C3⋊D3—21no—
904C2×C3⋊D3—21no—
905C2×C3⋊D3—21no—
906C2×C3×D3—22no—
907C2×C3×D3—21no—
908C2×C3×D3—22no—
909C2×C3×D3—21no—
910C2×C3×D3—22no—
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—21no—
918C2×C3×D3—21no—
919C2×C3×D3—22no—
920C2×C3×D3—22no—
921C2×C3×D3—21no—
922C2×C3×D3—48no—
923C2×C3×D3—44no—
924C2×C3×D3—84no—
925C2×C3×D3—84no—
926C2×C3×D3C22×D414yes—
927C2×C3×D3C22×D412yes—
928D32—84no—
929C32×C4—21no—
930C32×C4—22no—
931C32×C4C22×D412yes—
932C3⋊Dic3—22no—
933C3⋊Dic3—21no—
934C3⋊Dic3—21no—
935C3⋊Dic3—21no—
936C3⋊Dic3C22×D414yes—
937C3×Dic3—21no—
938C3×Dic3—21no—
939C3×Dic3—22no—
940C3×Dic3—21no—
941C3×Dic3—21no—
942C3×Dic3C22×D412yes—
943H(5,𝔽2)—188no—
944C2×#41—91no—
945C2×#41—91no—
946C2×#41—91no—
947C2×#41—92no—
948C2×#41—92no—
949C2×#41—91no—
950C2×#41—91no—
951C2×#41—91no—
952C2×#41—92no—
953C2×#41—91no—
954C2×#41—188no—
955C22×Q8—91no—
956C22×D4—31no—
957C22×D4—31no—
958C22×D4—32no—
959C22×D4—32no—
960C22×D4—31no—
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—31no—
970#127—92no—
971#127—91no—
972#127—92no—
973#124—91no—
974#124—92no—
975#124—91no—
976#124—92no—
977#123—92no—
978#123—91no—
979#123—92no—
980#123—91no—
981C22⋊Q8—92no—
982C22⋊Q8—92no—
983C22⋊Q8—91no—
984C22⋊Q8—91no—
985C22⋊Q8—91no—
986C22⋊Q8—91no—
987C22⋊Q8—92no—
988#121—32no—
989#121—31no—
990#121—31no—
991#121—31no—
992#121—31no—
993#121—32no—
994#121—32no—
995#121—91no—
996#121—92no—
997#121—92no—
998#121—92no—
999#121—92no—
1000#121—92no—
1001#121—92no—
1002#121—91no—
1003#121—91no—
1004#121—92no—
1005#121—92no—
1006#121—92no—
1007#121—92no—
1008#121—92no—
1009#121—92no—
1010#121—92no—
1011#121—92no—
1012#121D3211yescharacteristic, complemented
1013#120—32no—
1014#120—32no—
1015#120—92no—
1016#120—92no—
1017#120—91no—
1018#120—91no—
1019#120—92no—
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—92no—
1029C4×D4—92no—
1030C4×D4—92no—
1031C4×D4—92no—
1032C4×D4—91no—
1033C4×D4—92no—
1034C4×D4—91no—
1035C4×D4—92no—
1036C4×D4—91no—
1037#117—91no—
1038#117—92no—
1039C2×C4⋊C4—31no—
1040C2×C4⋊C4—92no—
1041C2×C22⋊C4—32no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C23×C3—21no—
1045C23×C3—22no—
1046C23×C3—31no—
1047C23×C3—32no—
1048C23×C3—31no—
1049C23×C3—32no—
1050C23×C3—31no—
1051C23×C3—32no—
1052C23×C3—64no—
1053C23×C3—62no—
1054C23×C3—64no—
1055C23×C3—64no—
1056C23×C3—64no—
1057C23×C3—62no—
1058C23×C3—122no—
1059C23×C3—121no—
1060C23×C3—122no—
1061C23×C3—122no—
1062C23×C3—122no—
1063C23×C3—122no—
1064C23×C3C23×D312yes—
1065C23×C3C23×D312yes—
1066C23×C3C23×D311yescharacteristic
1067C23×C3C23×D311yescharacteristic
1068C22×D3—22no—
1069C22×D3—24no—
1070C22×D3—22no—
1071C22×D3—24no—
1072C22×D3—24no—
1073C22×D3—24no—
1074C22×D3—31no—
1075C22×D3—31no—
1076C22×D3—41no—
1077C22×D3—42no—
1078C22×D3—42no—
1079C22×D3—42no—
1080C22×D3—42no—
1081C22×D3—42no—
1082C22×D3—61no—
1083C22×D3—64no—
1084C22×D3—64no—
1085C22×D3—122no—
1086C22×D3—122no—
1087C22×D3—122no—
1088C22×D3—122no—
1089C22×D3C23×D311yescharacteristic
1090C22×D3C23×D312yes—
1091C22×D3C23×D311yescharacteristic
1092C22×D3C23×D312yes—
1093C22×D3C23×D311yescharacteristic
1094C22×D3C23×D312yes—
1095C3×D4—24no—
1096C3×D4—24no—
1097C3×D4—22no—
1098C3×D4—22no—
1099C3×D4—34no—
1100C3×D4—42no—
1101C3×D4—44no—
1102C3×D4—64no—
1103C3×D4—64no—
1104C3×D4—64no—
1105C3×D4—64no—
1106C3×D4—62no—
1107C3×D4—62no—
1108C3×D4—62no—
1109C3×D4—122no—
1110C3×D4—122no—
1111C3×D4—122no—
1112C3×D4—122no—
1113C3×D4—122no—
1114C2×C3×C4—22no—
1115C2×C3×C4—22no—
1116C2×C3×C4—21no—
1117C2×C3×C4—22no—
1118C2×C3×C4—21no—
1119C2×C3×C4—31no—
1120C2×C3×C4—34no—
1121C2×C3×C4—31no—
1122C2×C3×C4—32no—
1123C2×C3×C4—31no—
1124C2×C3×C4—31no—
1125C2×C3×C4—31no—
1126C2×C3×C4—42no—
1127C2×C3×C4—62no—
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—22no—
1141#67—24no—
1142#67—24no—
1143#67—24no—
1144#67—38no—
1145#67—38no—
1146#67—42no—
1147#67—42no—
1148#67—42no—
1149#67—62no—
1150#67—64no—
1151#67—64no—
1152#67—64no—
1153#67—64no—
1154#67—64no—
1155#67—64no—
1156#67—64no—
1157#67—62no—
1158#67—64no—
1159#67—64no—
1160#67—62no—
1161#67—62no—
1162#67—64no—
1163#67—62no—
1164#67—64no—
1165#67—64no—
1166#67—62no—
1167#67—124no—
1168#67—122no—
1169#67—121no—
1170#67—122no—
1171#67—122no—
1172#67—121no—
1173#67—122no—
1174#67—122no—
1175#67—121no—
1176#67—122no—
1177C2×Dic3—22no—
1178C2×Dic3—32no—
1179C2×Dic3—32no—
1180C2×Dic3—38no—
1181C2×Dic3—31no—
1182C2×Dic3—31no—
1183C2×Dic3—31no—
1184C2×Dic3—31no—
1185C2×Dic3—31no—
1186C2×Dic3—31no—
1187C2×Dic3—32no—
1188C2×Dic3—32no—
1189C2×Dic3—62no—
1190C2×Dic3—61no—
1191C2×Dic3—61no—
1192C2×Dic3—61no—
1193C2×Dic3—62no—
1194C2×Dic3—64no—
1195C2×Dic3—64no—
1196C2×Dic3—64no—
1197C2×Dic3—64no—
1198C2×Dic3—64no—
1199C2×Dic3—64no—
1200C2×Dic3—64no—
1201C2×Dic3—64no—
1202C2×Dic3—124no—
1203C2×Dic3—124no—
1204C2×Dic3—122no—
1205C2×Dic3C23×D311yescharacteristic
1206C2×Dic3C23×D312yes—
1207C2×Dic3C23×D311yescharacteristic
1208C2×Dic3C23×D311yescharacteristic
1209C2×Dic3C23×D311yescharacteristic
1210C2×Dic3C23×D311yescharacteristic
1211D12—24no—
1212D12—22no—
1213D12—22no—
1214D12—42no—
1215D12—42no—
1216D12—62no—
1217D12—62no—
1218D12—121no—
1219D12—122no—
1220D12D3×D414yescomplemented
1221C4×D3—22no—
1222C4×D3—22no—
1223C4×D3—22no—
1224C4×D3—22no—
1225C4×D3—38no—
1226C4×D3—42no—
1227C4×D3—42no—
1228C4×D3—64no—
1229C4×D3—64no—
1230C4×D3—64no—
1231C4×D3—64no—
1232C4×D3—62no—
1233C4×D3—62no—
1234C4×D3—122no—
1235C4×D3—122no—
1236C4×D3D3×D414yescomplemented
1237Dic6—34no—
1238Dic6—34no—
1239Dic6—64no—
1240Dic6—62no—
1241Dic6—64no—
1242Dic6—64no—
1243Dic6—62no—
1244Dic6—62no—
1245Dic6—62no—
1246Dic6—124no—
1247Dic6—122no—
1248C2×C32—22no—
1249C2×C32—42no—
1250C2×C32C23×D411yescharacteristic
1251C2×C32C2×H(5,𝔽2)11yescharacteristic
1252C2×C32#58511yescharacteristic
1253C3⋊D3—41no—
1254C3×D3—24no—
1255C3×D3—22no—
1256C3×D3—42no—
1257C3×D3—42no—
1258C3×D3—41no—
1259C3×D3—41no—
1260C24—32no—
1261C24—31no—
1262C24—32no—
1263C24—32no—
1264C24—92no—
1265#41—98no—
1266#41—184no—
1267#41—184no—
1268#41—188no—
1269#41—184no—
1270#41—188no—
1271#41—184no—
1272#41—184no—
1273#41—188no—
1274#41—184no—
1275C2×Q8—91no—
1276C2×Q8—91no—
1277C2×Q8—92no—
1278C2×Q8—91no—
1279C2×Q8—184no—
1280C2×D4—31no—
1281C2×D4—32no—
1282C2×D4—32no—
1283C2×D4—32no—
1284C2×D4—32no—
1285C2×D4—32no—
1286C2×D4—32no—
1287C2×D4—31no—
1288C2×D4—32no—
1289C2×D4—31no—
1290C2×D4—31no—
1291C2×D4—32no—
1292C2×D4—32no—
1293C2×D4—64no—
1294C2×D4—64no—
1295C2×D4—64no—
1296C2×D4—91no—
1297C2×D4—91no—
1298C2×D4—91no—
1299C2×D4—92no—
1300C2×D4—92no—
1301C2×D4—92no—
1302C2×D4—92no—
1303C2×D4—92no—
1304C2×D4—91no—
1305C2×D4—92no—
1306C2×D4—92no—
1307C2×D4—91no—
1308C2×D4—92no—
1309C2×D4—92no—
1310C2×D4—91no—
1311C2×D4—92no—
1312C2×D4—124no—
1313C2×D4—124no—
1314C2×D4—188no—
1315C2×D4—184no—
1316C2×D4—188no—
1317C2×D4—188no—
1318C2×D4—188no—
1319C2×D4—364no—
1320C2×D4C2×D3212yes—
1321C2×D4C2×D3211yescharacteristic
1322C22×C4—31no—
1323C22×C4—31no—
1324C22×C4—31no—
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—32no—
1329C22×C4—32no—
1330C22×C4—64no—
1331C22×C4—92no—
1332C22×C4—92no—
1333C22×C4—92no—
1334C22×C4—92no—
1335C22×C4—92no—
1336C22×C4—92no—
1337C22×C4—92no—
1338C22×C4—92no—
1339C22×C4—91no—
1340C22×C4—188no—
1341C22×C4C2×D3211yescharacteristic
1342C4⋊C4—32no—
1343C4⋊C4—31no—
1344C4⋊C4—31no—
1345C4⋊C4—91no—
1346C4⋊C4—92no—
1347C4⋊C4—91no—
1348C4⋊C4—91no—
1349C4⋊C4—91no—
1350C4⋊C4—92no—
1351C4⋊C4—92no—
1352C4⋊C4—91no—
1353C4⋊C4—92no—
1354C4⋊C4C2×D3211yescharacteristic
1355C22⋊C4—32no—
1356C22⋊C4—31no—
1357C22⋊C4—32no—
1358C22⋊C4—32no—
1359C22⋊C4—32no—
1360C22⋊C4—31no—
1361C22⋊C4—32no—
1362C22⋊C4—91no—
1363C22⋊C4—91no—
1364C22⋊C4—92no—
1365C22⋊C4—92no—
1366C22⋊C4—91no—
1367C22⋊C4—91no—
1368C22⋊C4—92no—
1369C22⋊C4—92no—
1370C22⋊C4—91no—
1371C22⋊C4—92no—
1372C22⋊C4—91no—
1373C22⋊C4—92no—
1374C22⋊C4—91no—
1375C22⋊C4—92no—
1376C22⋊C4—92no—
1377C22⋊C4—91no—
1378C22⋊C4C2×D3212yes—
1379C42—31no—
1380C42—92no—
1381C42—92no—
1382C42—91no—
1383C22×C3—21no—
1384C22×C3—21no—
1385C22×C3—21no—
1386C22×C3—21no—
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—22no—
1390C22×C3—22no—
1391C22×C3—22no—
1392C22×C3—22no—
1393C22×C3—22no—
1394C22×C3—21no—
1395C22×C3—34no—
1396C22×C3—32no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—42no—
1400C22×C3—42no—
1401C22×C3—42no—
1402C22×C3—62no—
1403C22×C3—61no—
1404C22×C3—62no—
1405C22×C3—61no—
1406C22×C3—62no—
1407C22×C3—62no—
1408C22×C3—61no—
1409C22×C3—61no—
1410C22×C3—62no—
1411C22×C3—62no—
1412C22×C3—61no—
1413C22×C3—61no—
1414C22×C3—62no—
1415C22×C3—61no—
1416C22×C3—61no—
1417C22×C3—62no—
1418C22×C3—124no—
1419C22×C3—128no—
1420C22×C3—244no—
1421C22×C3—244no—
1422C22×C3#100412yescomplemented
1423C22×C3#100412yescomplemented
1424C22×C3C24×D311yescharacteristic
1425C22×C3C24×D311yescharacteristic
1426C2×D3—21no—
1427C2×D3—22no—
1428C2×D3—21no—
1429C2×D3—22no—
1430C2×D3—21no—
1431C2×D3—21no—
1432C2×D3—22no—
1433C2×D3—22no—
1434C2×D3—21no—
1435C2×D3—21no—
1436C2×D3—22no—
1437C2×D3—22no—
1438C2×D3—21no—
1439C2×D3—22no—
1440C2×D3—22no—
1441C2×D3—21no—
1442C2×D3—48no—
1443C2×D3—44no—
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—244no—
1456C2×D3—244no—
1457C2×D3C2×D3×D412yes—
1458C2×D3C2×D3×D414yes—
1459C3×C4—21no—
1460C3×C4—21no—
1461C3×C4—22no—
1462C3×C4—22no—
1463C3×C4—22no—
1464C3×C4—32no—
1465C3×C4—41no—
1466C3×C4—42no—
1467C3×C4—61no—
1468C3×C4—61no—
1469C3×C4—62no—
1470C3×C4—61no—
1471C3×C4—61no—
1472C3×C4C2×D3×D412yes—
1473C3×C4C2×D3×D412yes—
1474Dic3—21no—
1475Dic3—21no—
1476Dic3—21no—
1477Dic3—22no—
1478Dic3—21no—
1479Dic3—34no—
1480Dic3—34no—
1481Dic3—64no—
1482Dic3—62no—
1483Dic3—62no—
1484Dic3—61no—
1485Dic3—61no—
1486Dic3—61no—
1487Dic3—61no—
1488Dic3—61no—
1489Dic3—61no—
1490Dic3—122no—
1491Dic3—121no—
1492Dic3—121no—
1493Dic3—121no—
1494Dic3C2×D3×D412yes—
1495C32#348811yescharacteristic, complemented, Sylow
1496C23—32no—
1497C23—31no—
1498C23—32no—
1499C23—31no—
1500C23—32no—
1501C23—31no—
1502C23—62no—
1503C23—64no—
1504C23—64no—
1505C23—64no—
1506C23—62no—
1507C23—64no—
1508C23—91no—
1509C23—121no—
1510C23—122no—
1511C23—122no—
1512C23—122no—
1513C23—122no—
1514C23—122no—
1515C23—184no—
1516C23—362no—
1517C23—362no—
1518C23C22×D3212yes—
1519C23C22×D3211yescharacteristic
1520Q8—94no—
1521Q8—184no—
1522Q8—182no—
1523Q8—182no—
1524D4—24no—
1525D4—22no—
1526D4—34no—
1527D4—64no—
1528D4—64no—
1529D4—64no—
1530D4—62no—
1531D4—64no—
1532D4—62no—
1533D4—62no—
1534D4—98no—
1535D4—122no—
1536D4—122no—
1537D4—122no—
1538D4—122no—
1539D4—122no—
1540D4—182no—
1541D4—182no—
1542D4—184no—
1543D4—184no—
1544D4—184no—
1545D4—182no—
1546D4—184no—
1547D4—184no—
1548D4—184no—
1549D4—182no—
1550D4—362no—
1551D4—361no—
1552D4—362no—
1553D4—362no—
1554D4—361no—
1555C2×C4—22no—
1556C2×C4—31no—
1557C2×C4—34no—
1558C2×C4—31no—
1559C2×C4—31no—
1560C2×C4—32no—
1561C2×C4—31no—
1562C2×C4—31no—
1563C2×C4—62no—
1564C2×C4—62no—
1565C2×C4—62no—
1566C2×C4—62no—
1567C2×C4—62no—
1568C2×C4—98no—
1569C2×C4—92no—
1570C2×C4—91no—
1571C2×C4—91no—
1572C2×C4—92no—
1573C2×C4—91no—
1574C2×C4—122no—
1575C2×C4—122no—
1576C2×C4—184no—
1577C2×C4—184no—
1578C2×C4—184no—
1579C2×C4—184no—
1580C2×C4—184no—
1581C2×C4—184no—
1582C2×C4—182no—
1583C2×C4—362no—
1584C2×C4C22×D3212yes—
1585C2×C4C22×D3211yescharacteristic
1586C2×C4C22×D3211yescharacteristic
1587C2×C3—22no—
1588C2×C3—22no—
1589C2×C3—21no—
1590C2×C3—21no—
1591C2×C3—21no—
1592C2×C3—42no—
1593C2×C3—42no—
1594C2×C3—42no—
1595C2×C3—62no—
1596C2×C3—64no—
1597C2×C3—82no—
1598C2×C3—122no—
1599C2×C3—121no—
1600C2×C3—122no—
1601C2×C3—121no—
1602C2×C3C22×D3×D411yescharacteristic
1603C2×C3C22×D3×D411yescharacteristic
1604C2×C3C2×#100411yescharacteristic
1605C2×C3C2×#100411yescharacteristic
1606C2×C3#596411yescharacteristic
1607C2×C3#596611yescharacteristic
1608D3—24no—
1609D3—22no—
1610D3—42no—
1611D3—41no—
1612D3—41no—
1613D3—42no—
1614D3—121no—
1615D3—121no—
1616D3—241no—
1617C22—21no—
1618C22—21no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—32no—
1623C22—34no—
1624C22—61no—
1625C22—62no—
1626C22—61no—
1627C22—62no—
1628C22—61no—
1629C22—61no—
1630C22—62no—
1631C22—62no—
1632C22—61no—
1633C22—62no—
1634C22—61no—
1635C22—62no—
1636C22—62no—
1637C22—61no—
1638C22—61no—
1639C22—62no—
1640C22—124no—
1641C22—128no—
1642C22—181no—
1643C22—181no—
1644C22—181no—
1645C22—244no—
1646C22—244no—
1647C22—724no—
1648C22#6431312yescomplemented
1649C22C23×D3211yescharacteristic
1650C4—21no—
1651C4—22no—
1652C4—32no—
1653C4—61no—
1654C4—61no—
1655C4—61no—
1656C4—62no—
1657C4—61no—
1658C4—94no—
1659C4—181no—
1660C4—182no—
1661C4—181no—
1662C4—181no—
1663C4D32×D412yes—
1664C3—21no—
1665C3#8594911yescharacteristic, complemented
1666C3#8660711yescharacteristic, complemented
1667C2—22no—
1668C2—42no—
1669C2—62no—
1670C2—64no—
1671C2—121no—
1672C2—122no—
1673C2—121no—
1674C2—122no—
1675C2—361no—
1676C2C2×D32×D411yescharacteristic
1677C2C2×#6431311yescharacteristic
1678C2#1059669611yescharacteristic
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. C22×#3795C2semidirect
3. #10596069C2semidirect
4. C3×#5609C2semidirect
5. C3×D3×#121C2semidirect
6. #10595287C2semidirect
7. D3×#939C2semidirect
8. #10595233C2semidirect
9. #10595228C2semidirect
10. D4×#625C2semidirect
11. #10595164C2semidirect
12. #10595130C2semidirect
13. #10595069C2semidirect
14. #10595002C2semidirect
15. #10594918C2semidirect
16. #10594630C2semidirect
17. #10594527C2semidirect
18. #10594522C2semidirect
19. #10594359C2semidirect
20. #10594273C2semidirect
21. #10594269C2semidirect
22. #10594184C2semidirect
23. #10594060C2semidirect
26. C2×#3830C22semidirect
27. C22×#634C22semidirect
28. C2×C3×D3×D4C22semidirect
29. C2×C3×D3×D4C22semidirect
30. C2×C3×D3×D4C22semidirect
31. C2×C3×D3×D4C22semidirect
32. C22×C3×D12C22semidirect
33. C22×C3×C4×D3C22semidirect
34. C2×D3×#67C22semidirect
35. C2×D3×#67C22semidirect
36. C2×D3×#67C22semidirect
37. C22×#625C22semidirect
38. C22×#625C22semidirect
39. C2×#3805C22semidirect
40. C22×D3×Dic3C22semidirect
42. C2×#3802C22semidirect
43. C2×#3798C22semidirect
46. C2×#3795C22semidirect
47. C2×#3795C22semidirect
48. C2×#3795C22semidirect
49. C2×#3795C22semidirect
50. C2×#3795C22semidirect
51. C2×#3795C22semidirect
52. C32×#121C22semidirect
53. #64148C22semidirect
54. #64145C22semidirect
55. D4×C3⋊Dic3C22semidirect
56. C4×#638C22semidirect
57. #64106C22semidirect
58. #64096C22semidirect
59. #64094C22semidirect
60. #64087C22semidirect
61. C3×#940C22semidirect
62. C3×#939C22semidirect
63. C3×#938C22semidirect
64. C3×#937C22semidirect
65. C3×#930C22semidirect
66. C3×C4×#67C22semidirect
67. C3×#895C22semidirect
68. C3×#895C22semidirect
69. C3×#893C22semidirect
70. C3×D3×C4⋊C4C22semidirect
71. C3×#884C22semidirect
72. C3×#884C22semidirect
73. C3×#882C22semidirect
74. C3×D3×C22⋊C4C22semidirect
75. #63980C22semidirect
76. #63980C22semidirect
77. #63979C22semidirect
78. #63978C22semidirect
79. #63977C22semidirect
80. #63976C22semidirect
81. #63976C22semidirect
82. #63976C22semidirect
83. #63976C22semidirect
84. #63976C22semidirect
85. #67⋊Dic3C22semidirect
86. #67⋊Dic3C22semidirect
87. #63971C22semidirect
88. #63970C22semidirect
89. #63970C22semidirect
90. #63970C22semidirect
91. #63969C22semidirect
92. D3×#217C22semidirect
93. #63964C22semidirect
94. #63922C22semidirect
95. #63922C22semidirect
96. D3×(C2×D3)⋊C4C22semidirect
97. #63916C22semidirect
98. #63914C22semidirect
99. #63914C22semidirect
100. #63913C22semidirect
101. #63908C22semidirect
102. #63908C22semidirect
103. #63906C22semidirect
104. #63906C22semidirect
105. #63905C22semidirect
106. C4×#626C22semidirect
107. #63902C22semidirect
108. C4×#625C22semidirect
109. C4×#625C22semidirect
110. #63898C22semidirect
111. #63896C22semidirect
112. #63893C22semidirect
113. #63891C22semidirect
114. #63886C22semidirect
115. #63885C22semidirect
116. #63885C22semidirect
117. #63885C22semidirect
118. #63879C22semidirect
119. #63878C22semidirect
120. D3×Dic3⋊C4C22semidirect
121. #63860C22semidirect
122. #63857C22semidirect
123. #63855C22semidirect
124. #63851C22semidirect
125. #63850C22semidirect
126. #63844C22semidirect
147. #5609D3semidirect
153. D3×#121D3semidirect
255. #3795D4semidirect
332. C2×D3×D4C2×D3semidirect
333. C2×D3×D4C2×D3semidirect
334. C2×D3×D4C2×D3semidirect
335. C2×D3×D4C2×D3semidirect
346. C22×D12C2×D3semidirect
348. C22×C4×D3C2×D3semidirect
361. C3×#121C2×D3semidirect
362. C3×#121C2×D3semidirect
382. #940C2×D3semidirect
399. #939C2×D3semidirect
406. #938C2×D3semidirect
414. #937C2×D3semidirect
431. #930C2×D3semidirect
443. C4×#67C2×D3semidirect
459. #895C2×D3semidirect
460. #895C2×D3semidirect
463. #893C2×D3semidirect
466. D3×C4⋊C4C2×D3semidirect
483. #884C2×D3semidirect
484. #884C2×D3semidirect
491. #882C2×D3semidirect
499. D3×C22⋊C4C2×D3semidirect
553. #634C2×D4semidirect
573. C3×D12C2×D4semidirect
580. C3×C4×D3C2×D4semidirect
595. #625C2×D4semidirect
601. D3×Dic3C2×D4semidirect
901. C22×C32H(5,𝔽2)semidirect
1012. #121D32semidirect
1220. D12D3×D4semidirect
1236. C4×D3D3×D4semidirect
1422. C22×C3#1004semidirect
1423. C22×C3#1004semidirect
1495. C32#3488semidirect
1648. C22#64313semidirect
1665. C3#85949semidirect
1666. C3#86607semidirect

Maximal subgroups

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

subgroupindex
C2×#643132
C22×#37952
#105960692
C3×#56092
C3×D3×#1212
#105952872
D3×#9392
#105952332
#105952282
D4×#6252
#105951642
#105951302
#105950692
#105950022
#105949182
#105946302
#105945272
#105945222
#105943592
#105942732
#105942692
#105941842
#105940602
#866073
#859493