Finite Group Databasebeta

← #11904625

Subgroups — #11904625

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×#64307C211yesmaximal, characteristic, complemented
2C22×#3795C211yesmaximal, characteristic, complemented
3#10596023C211yesmaximal, characteristic, complemented
4C3×D4×D12C211yesmaximal, characteristic, complemented
5C3×#5547C211yesmaximal, characteristic, complemented
6#10595287C212yesmaximal, complemented
7D3×#939C212yesmaximal, complemented
8D12×#67C211yesmaximal, characteristic, complemented
9D3×#930C211yesmaximal, characteristic, complemented
10#10595004C211yesmaximal, characteristic, complemented
11#10594919C211yesmaximal, characteristic, complemented
12#10594918C211yesmaximal, characteristic, complemented
13#10594886C211yesmaximal, characteristic, complemented
14#10594617C212yesmaximal, complemented
15#10594368C212yesmaximal, complemented
16#10594274C212yesmaximal, complemented
17#10594271C212yesmaximal, complemented
18#10594269C212yesmaximal, complemented
19#10594055C212yesmaximal, complemented
20#10594003C211yesmaximal, characteristic, complemented
21#10594000C211yesmaximal, characteristic, complemented
22#10593906C211yesmaximal, characteristic, complemented
23#10593887C211yesmaximal, characteristic, complemented
24#86607—31nomaximal
25#86041—31nomaximal
26C2×#3828C2211yescharacteristic, complemented
27C22×#634C2211yescharacteristic, complemented
28C2×C3×D3×D4C2212yescomplemented
29C2×C3×#235C2211yescharacteristic, complemented
30C22×C3×D12C2211yescharacteristic, complemented
31C22×C3×D12C2211yescharacteristic, complemented
32C22×C3×C4×D3C2211yescharacteristic, complemented
33C2×D3×#67C2212yescomplemented
34C2×D3×#67C2212yescomplemented
35C2×D3×#67C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C22×#625C2212yescomplemented
38C22×D3×Dic3C2212yescomplemented
39#64307—28no—
40C2×#3802C2212yescomplemented
41C2×D3×D12C2211yescharacteristic, complemented
42C2×D3×D12C2211yescharacteristic, complemented
43C2×#3796C2212yescomplemented
44C2×#3795—28no—
45C2×#3795C2211yescharacteristic
46C2×#3795C2212yescomplemented
47C2×#3795C2212yescomplemented
48C2×#3795C2211yescharacteristic, complemented
49C2×#3795C2211yescharacteristic, complemented
50C2×#3795C2211yescharacteristic, complemented
51C2×#3795C2211yescharacteristic, complemented
52C32×C4×D4C2211yescharacteristic, complemented
53#64148C2212yescomplemented
54#64139C2211yescharacteristic, complemented
55#64133C2211yescharacteristic, complemented
56#64105C2212yescomplemented
57#64094C2212yescomplemented
58#64090C2212yescomplemented
59#64084C2211yescharacteristic, complemented
60C4×#634C2211yescharacteristic, complemented
61C3×#939C2211yescharacteristic, complemented
62C3×#937C2211yescharacteristic, complemented
63C3×#930C2211yescharacteristic, complemented
64C3×#930C2211yescharacteristic, complemented
65C3×C4×#67C2211yescharacteristic, complemented
66C3×C4×#67C2211yescharacteristic, complemented
67C3×#896C2211yescharacteristic, complemented
68C3×#895C2212yescomplemented
69C3×#894C2211yescharacteristic, complemented
70C3×#884C2211yescharacteristic, complemented
71C3×#883C2211yescharacteristic, complemented
72C3×#882C2212yescomplemented
73C3×#882C2211yescharacteristic, complemented
74C3×#882C2212yescomplemented
75C3×#878C2211yescharacteristic, complemented
76C3×#874C2211yescharacteristic, complemented
77C3×C4×D12C2211yescharacteristic, complemented
78C3×C4×D12C2211yescharacteristic, complemented
79C3×#872C2211yescharacteristic, complemented
80#63980C2212yescomplemented
81#63979C2212yescomplemented
82#63978C2212yescomplemented
83#63977C2212yescomplemented
84#63976C2212yescomplemented
85#67⋊Dic3C2212yescomplemented
86#63971C2212yescomplemented
87#63970C2212yescomplemented
88#63970C2212yescomplemented
89D3×#217C2212yescomplemented
90#63922C2212yescomplemented
91#63922C2212yescomplemented
92#63922C2212yescomplemented
93#63922C2212yescomplemented
94D3×(C2×D3)⋊C4C2212yescomplemented
95D3×(C2×D3)⋊C4C2212yescomplemented
96#63914C2212yescomplemented
97#63913C2212yescomplemented
98#63912C2212yescomplemented
99#63911C2211yescharacteristic, complemented
100#63909C2211yescharacteristic, complemented
101#63908C2211yescharacteristic, complemented
102#63908C2211yescharacteristic, complemented
103#63906C2212yescomplemented
104#63906C2212yescomplemented
105#63902C2212yescomplemented
106#63898C2212yescomplemented
107#63896C2212yescomplemented
108Dic3×D12C2211yescharacteristic, complemented
109#63890C2212yescomplemented
110D3×C4⋊Dic3C2211yescharacteristic, complemented
111#63887C2212yescomplemented
112#63886C2212yescomplemented
113#63886C2212yescomplemented
114#63886C2212yescomplemented
115#63885C2212yescomplemented
116#63885C2212yescomplemented
117#63885C2212yescomplemented
118#63885C2212yescomplemented
119#63884C2212yescomplemented
120#63881C2212yescomplemented
121#63879C2212yescomplemented
122#63878C2212yescomplemented
123D3×Dic3⋊C4C2212yescomplemented
124#63860C2211yescharacteristic, complemented
125#63857C2211yescharacteristic, complemented
126#63844C2211yescharacteristic, complemented
127C2×#1009—31no—
128C2×#1004—31no—
129C22×#237—31no—
130C22×#235—31no—
131C3×D42—31no—
132C3×#525—31no—
133#5833—31no—
134#5806—31no—
135C2×#939—32no—
136D4×#67—32no—
137D4×#67—31no—
138C2×#930—31no—
139#5718—31no—
140#5715—31no—
141#5654—32no—
142#5654—32no—
143#5629—32no—
144#5627—32no—
145#5610—32no—
146#5608—31no—
147#5607—32no—
148D3×#121—32no—
149D3×#121—31no—
150#5599—31no—
151#5598—31no—
152#5597—32no—
153#5592—32no—
154#5591—32no—
155#5590—32no—
156#5590—32no—
157#5590—32no—
158#5586—32no—
159#5554—31no—
160#5553—31no—
161#5553—31no—
162#5552—31no—
163#5552—31no—
164#5552—31no—
165#5552—61no—
166#5550—31no—
167#5550—31no—
168D4×D12—31no—
169D4×D12D311yescharacteristic, complemented
170#5547D311yescharacteristic, complemented
171#5546—31no—
172#5525—31no—
173#5523—31no—
174C23×C3×D3C2311yescharacteristic
175C23×C3×D3C2312yes—
176C23×C3×D3C2312yes—
177C22×D32C2312yes—
178C22×D32C2312yes—
179C2×C32×D4C2311yescharacteristic
180C22×C32×C4C2311yescharacteristic
181C22×C32×C4C2311yescharacteristic
182C2×#638C2312yes—
183C2×#638C2312yes—
184C22×C3⋊Dic3C2312yes—
185#3828—24no—
186C2×C4⋊(C3⋊D3)C2311yescharacteristic
187C2×C4×C3⋊D3C2312yes—
188C2×#634—24no—
189C2×#634C2311yescharacteristic
190C2×#634C2312yes—
191C2×#634C2311yescharacteristic
192C2×C3×#67C2311yescharacteristic
193C2×C3×#67C2312yes—
194C2×C3×#67C2311yescharacteristic
195C2×C3×#67C2311yescharacteristic
196C2×C3×#67C2312yes—
197C2×C3×#67C2311yescharacteristic
198C22×C3×Dic3C2311yescharacteristic
199C3×D3×D4—44no—
200C3×#235—24no—
201C2×C3×D12—24no—
202C2×C3×D12—24no—
203C2×C3×D12C2311yescharacteristic
204C2×C3×D12C2312yes—
205C2×C3×D12C2312yes—
206C2×C3×D12C2311yescharacteristic
207C2×C3×D12C2311yescharacteristic
208C2×C3×D12C2312yes—
209C2×C3×D12C2311yescharacteristic
210C2×C3×D12C2312yes—
211C2×C3×D12C2311yescharacteristic
212C2×C3×C4×D3—24no—
213C2×C3×C4×D3C2311yescharacteristic
214C2×C3×C4×D3C2311yescharacteristic
215C2×C3×C4×D3C2311yescharacteristic
216C2×C3×C4×D3C2311yescharacteristic
217C2×C3×C4×D3C2312yes—
218C2×C3×C4×D3C2311yescharacteristic
219C2×C3×Dic6C2311yescharacteristic
220D3×#67—28no—
221D3×#67—28no—
222D3×#67—44no—
223D3×#67—44no—
224C2×#626C2312yes—
225C2×#626C2312yes—
226C2×#626C2312yes—
227C2×#626C2312yes—
228C2×#626C2312yes—
229C2×#625—28no—
230C2×#625C2312yes—
231C2×#625C2312yes—
232C2×#625C2312yes—
233C2×#625C2312yes—
234C2×#625C2312yes—
235C2×#625C2312yes—
236C2×#625C2312yes—
237C2×D3×Dic3—28no—
238C2×D3×Dic3C2312yes—
239C2×D3×Dic3C2312yes—
240C2×D3×Dic3C2312yes—
241C2×D3×Dic3C2312yes—
242C2×D3×Dic3C2312yes—
243C2×D3×Dic3C2312yes—
244C2×D3×Dic3C2312yes—
245#3802—28no—
246D3×D12—24no—
247D3×D12—24no—
248#3796—28no—
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⋊C4C2311yescharacteristic
258C32×C22⋊C4C2311yescharacteristic
259C32×C42C2311yescharacteristic
260#3757C2312yes—
261#3752C2312yes—
262#3752C2312yes—
263#3752C2312yes—
264C4⋊(C3⋊Dic3)C2311yescharacteristic
265#3750C2312yes—
266#3750C2312yes—
267C4×C3⋊Dic3C2312yes—
268C3×#217C2311yescharacteristic
269C3×#217C2311yescharacteristic
270C3×(C2×D3)⋊C4C2312yes—
271C3×(C2×D3)⋊C4C2311yescharacteristic
272C3×(C2×D3)⋊C4C2312yes—
273C3×(C2×D3)⋊C4C2312yes—
274C3×(C2×D3)⋊C4C2311yescharacteristic
275C3×(C2×D3)⋊C4C2311yescharacteristic
276C3×(C2×D3)⋊C4C2311yescharacteristic
277C3×(C2×D3)⋊C4C2311yescharacteristic
278C3×(C2×D3)⋊C4C2311yescharacteristic
279C3×C4⋊Dic3C2311yescharacteristic
280C3×C4⋊Dic3C2311yescharacteristic
281C3×Dic3⋊C4C2311yescharacteristic
282C3×Dic3⋊C4C2311yescharacteristic
283C3×Dic3⋊C4C2311yescharacteristic
284C3×Dic3⋊C4C2311yescharacteristic
285C3×C4×Dic3C2311yescharacteristic
286#3724C2312yes—
287Dic3⋊Dic3C2312yes—
288Dic3⋊Dic3C2312yes—
289#3722C2312yes—
290(C2×D3)⋊Dic3C2312yes—
291(C2×D3)⋊Dic3C2312yes—
292(C2×D3)⋊Dic3C2312yes—
293(C2×D3)⋊Dic3C2312yes—
294(C2×D3)⋊Dic3C2312yes—
295(C2×D3)⋊Dic3C2312yes—
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—31no—
299C22×C3×D4—32no—
300C22×C3×D4—31no—
301C22×C3×D4—31no—
302C23×C3×C4—31no—
303C22×#67—32no—
304C22×#67—32no—
305C22×#67—32no—
306C22×#67—32no—
307C22×#67—32no—
308C22×#67—32no—
309C23×Dic3—32no—
310#1009—68no—
311C2×#239—32no—
312#1004—68no—
313C2×#237—31no—
314C2×#237—31no—
315C2×#237—31no—
316C2×#237—31no—
317C2×#237—32no—
318C2×#237—32no—
319C2×#237—31no—
320C2×#237—32no—
321C2×#237—68no—
322C2×D3×D4—32no—
323C2×D3×D4—32no—
324C2×D3×D4—32no—
325C2×D3×D4—32no—
326C2×D3×D4—32no—
327C2×D3×D4—32no—
328C2×D3×D4—31no—
329C2×D3×D4—31no—
330C2×D3×D4C2×D312yescomplemented
331C2×#235—31no—
332C2×#235—31no—
333C2×#235—31no—
334C2×#235—32no—
335C2×#235—31no—
336C2×#235—31no—
337C2×#235—31no—
338C2×#235—32no—
339C2×#235—31no—
340C2×#235—61no—
341C2×#235—68no—
342C2×#235C2×D311yescharacteristic, complemented
343C22×D12—31no—
344C22×D12—31no—
345C22×D12C2×D311yescharacteristic, complemented
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×#123—31no—
354C3×#123—31no—
355C3×C22⋊Q8—31no—
356C3×C22⋊Q8—31no—
357C3×#121—31no—
358C3×#121—31no—
359C3×#121—31no—
360C3×#121—32no—
361C3×#121—31no—
362C3×#120—31no—
363C3×#120—32no—
364C3×#120—31no—
365C3×#120—32no—
366C3×C4×D4—21no—
367C3×C4×D4—31no—
368C3×C4×D4—31no—
369C3×C4×D4—31no—
370C3×C4×D4—31no—
371C3×C4×D4C2×D311yescharacteristic, complemented
372C3×C4×D4C2×D311yescharacteristic, complemented
373C3×#117—31no—
374#953—32no—
375#953—32no—
376C2×#217—32no—
377#946—32no—
378#940—32no—
379#940—32no—
380#940—32no—
381#940—32no—
382#940—31no—
383#939—32no—
384#939—32no—
385#939—32no—
386#939—32no—
387#939—32no—
388#939—32no—
389#939—32no—
390#939—32no—
391#939—32no—
392#939—32no—
393#939—32no—
394#939—32no—
395#939—32no—
396#939—32no—
397#939—32no—
398#939—62no—
399#939C2×D311yescharacteristic, complemented
400#938—32no—
401#938—32no—
402#938—31no—
403#938—31no—
404#937—32no—
405#937—32no—
406#937—32no—
407#937—32no—
408#937—32no—
409#937C2×D311yescharacteristic, complemented
410#936—31no—
411#935—32no—
412D4×Dic3—32no—
413D4×Dic3—32no—
414D4×Dic3—31no—
415#930—31no—
416#930—31no—
417#930—32no—
418#930—31no—
419#930—31no—
420#930—32no—
421#930—32no—
422#930—31no—
423#930—61no—
424#930C2×D311yescharacteristic, complemented
425#930C2×D311yescharacteristic, complemented
426C4×#67—32no—
427C4×#67C2×D311yescharacteristic, complemented
428C4×#67C2×D311yescharacteristic, complemented
429C2×(C2×D3)⋊C4—32no—
430C2×(C2×D3)⋊C4—32no—
431C2×C4⋊Dic3—31no—
432#924—31no—
433#924—31no—
434#924—31no—
435#924—61no—
436C2×Dic3⋊C4—32no—
437#897—31no—
438#896—32no—
439#896—32no—
440#896—32no—
441#896—62no—
442#896C2×D311yescharacteristic, complemented
443#895—32no—
444#895—32no—
445#895—32no—
446#895—31no—
447#895C2×D312yescomplemented
448#894—32no—
449#894—32no—
450#894C2×D311yescharacteristic, complemented
451#893—32no—
452#893—32no—
453#892—32no—
454D3×C4⋊C4—32no—
455D3×C4⋊C4—31no—
456#887—31no—
457#886—32no—
458#885—32no—
459#885—32no—
460#885—32no—
461#885—32no—
462#885—62no—
463#884—32no—
464#884—32no—
465#884—32no—
466#884—32no—
467#884—32no—
468#884—32no—
469#884—32no—
470#884—32no—
471#884—32no—
472#884C2×D311yescharacteristic, complemented
473#883C2×D311yescharacteristic, complemented
474#882—32no—
475#882—32no—
476#882—32no—
477#882—32no—
478#882—32no—
479#882C2×D312yescomplemented
480#882C2×D311yescharacteristic, complemented
481#882C2×D312yescomplemented
482#67⋊C4—32no—
483#67⋊C4—32no—
484#67⋊C4—32no—
485#67⋊C4—32no—
486#67⋊C4—32no—
487#67⋊C4—32no—
488#67⋊C4—32no—
489#67⋊C4—62no—
490D3×C22⋊C4—32no—
491D3×C22⋊C4—32no—
492D3×C22⋊C4—32no—
493#878—32no—
494#878—32no—
495#878C2×D311yescharacteristic, complemented
496#877—32no—
497#875—31no—
498#875—31no—
499#875—31no—
500#875—61no—
501#874—31no—
502#874C2×D311yescharacteristic, complemented
503C4×D12—31no—
504C4×D12C2×D311yescharacteristic, complemented
505C4×D12C2×D311yescharacteristic, complemented
506#872C2×D311yescharacteristic, complemented
507C4×Dic6—31no—
508C4×Dic6—31no—
509C4×Dic6—31no—
510C4×Dic6—61no—
511C23×C32C2411yescharacteristic
512C23×C32C2411yescharacteristic
513C22×C3⋊D3C2412yes—
514C22×C3×D3—22no—
515C22×C3×D3—24no—
516C22×C3×D3—24no—
517C22×C3×D3—22no—
518C22×C3×D3—24no—
519C22×C3×D3—41no—
520C22×C3×D3—42no—
521C22×C3×D3—42no—
522C22×C3×D3—42no—
523C22×C3×D3C2411yescharacteristic
524C22×C3×D3C2412yes—
525C22×C3×D3C2412yes—
526C22×C3×D3C2411yescharacteristic
527C22×C3×D3C2411yescharacteristic
528C22×C3×D3C2412yes—
529C2×D32—24no—
530C2×D32—24no—
531C2×D32—42no—
532C2×D32—42no—
533C2×D32—42no—
534C2×D32—42no—
535C32×D4—22no—
536C2×C32×C4—22no—
537C2×C32×C4—22no—
538C2×C32×C4C2411yescharacteristic
539C2×C32×C4C2411yescharacteristic
540C2×C32×C4C2411yescharacteristic
541C2×C32×C4C2411yescharacteristic
542C2×C32×C4C2411yescharacteristic
543#638—24no—
544#638—24no—
545C2×C3⋊Dic3—24no—
546C2×C3⋊Dic3C2412yes—
547C2×C3⋊Dic3C2412yes—
548C2×C3⋊Dic3C2412yes—
549C4⋊(C3⋊D3)—22no—
550C4×C3⋊D3—24no—
551#634—22no—
552#634—24no—
553#634C2×D414yescomplemented
554C3×#67—22no—
555C3×#67—24no—
556C3×#67—22no—
557C3×#67—22no—
558C3×#67—42no—
559C3×#67—41no—
560C2×C3×Dic3—22no—
561C2×C3×Dic3C2411yescharacteristic
562C2×C3×Dic3C2412yes—
563C2×C3×Dic3C2411yescharacteristic
564C2×C3×Dic3C2411yescharacteristic
565C2×C3×Dic3C2411yescharacteristic
566C2×C3×Dic3C2411yescharacteristic
567C3×D12—24no—
568C3×D12—24no—
569C3×D12—22no—
570C3×D12—22no—
571C3×D12—22no—
572C3×D12—42no—
573C3×D12—41no—
574C3×D12—42no—
575C3×D12C2×D414yescomplemented
576C3×C4×D3—22no—
577C3×C4×D3—22no—
578C3×C4×D3—22no—
579C3×C4×D3—22no—
580C3×C4×D3—42no—
581C3×C4×D3C2×D414yescomplemented
582C3×Dic6—22no—
583#626—24no—
584#626—24no—
585#626—42no—
586#626—42no—
587#626—42no—
588#625—24no—
589#625—24no—
590#625—24no—
591#625—24no—
592#625—42no—
593#625—42no—
594#625C2×D418yescomplemented
595D3×Dic3—24no—
596D3×Dic3—24no—
597D3×Dic3—24no—
598D3×Dic3—24no—
599D3×Dic3—42no—
600D3×Dic3—42no—
601D3×Dic3C2×D418yescomplemented
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—91no—
605#550—91no—
606#548—91no—
607#548—91no—
608#546—91no—
609#546—91no—
610#546—92no—
611#546—92no—
612D42—31no—
613D42—91no—
614D42—92no—
615D42—92no—
616#537—92no—
617#537—91no—
618#535—91no—
619#535—92no—
620#525—31no—
621#525—92no—
622C2×#121—91no—
623C2×#121—92no—
624#520—91no—
625C24×C3—32no—
626C24×C3—31no—
627C24×C3—32no—
628C23×D3—32no—
629C23×D3—32no—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3C22×D312yes—
633C23×D3C22×D311yescharacteristic
634C23×D3C22×D312yes—
635C3×#41—64no—
636C2×C3×Q8—31no—
637C2×C3×D4—21no—
638C2×C3×D4—32no—
639C2×C3×D4—31no—
640C2×C3×D4—31no—
641C2×C3×D4—31no—
642C2×C3×D4—31no—
643C2×C3×D4—32no—
644C2×C3×D4—31no—
645C2×C3×D4—32no—
646C2×C3×D4—31no—
647C2×C3×D4—32no—
648C2×C3×D4—31no—
649C2×C3×D4—31no—
650C2×C3×D4—32no—
651C2×C3×D4—31no—
652C2×C3×D4—32no—
653C2×C3×D4—64no—
654C2×C3×D4—64no—
655C2×C3×D4—124no—
656C2×C3×D4C22×D311yescharacteristic
657C2×C3×D4C22×D311yescharacteristic
658C22×C3×C4—21no—
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—64no—
668C22×C3×C4C22×D311yescharacteristic
669C22×C3×C4C22×D311yescharacteristic
670C22×C3×C4C22×D311yescharacteristic
671C22×C3×C4C22×D311yescharacteristic
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—32no—
675C2×#67—32no—
676C2×#67—32no—
677C2×#67—32no—
678C2×#67—32no—
679C2×#67—32no—
680C2×#67—32no—
681C2×#67—32no—
682C2×#67—32no—
683C2×#67—32no—
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—32no—
693C2×#67—32no—
694C2×#67—32no—
695C2×#67—62no—
696C2×#67—62no—
697C2×#67—68no—
698C2×#67—68no—
699C2×#67—68no—
700C2×#67—68no—
701C2×#67—124no—
702C2×#67—124no—
703C2×#67C22×D312yes—
704C2×#67C22×D311yescharacteristic
705C2×#67C22×D311yescharacteristic
706C2×#67C22×D311yescharacteristic
707C2×#67C22×D312yes—
708C2×#67C22×D311yescharacteristic
709C22×Dic3—32no—
710C22×Dic3—32no—
711C22×Dic3—32no—
712C22×Dic3—32no—
713C22×Dic3—32no—
714C22×Dic3—32no—
715C22×Dic3—32no—
716C22×Dic3—32no—
717C22×Dic3—32no—
718C22×Dic3—62no—
719C22×Dic3—68no—
720C22×Dic3C22×D311yescharacteristic
721#239—68no—
722#237—38no—
723#237—68no—
724#237—64no—
725#237—64no—
726#237—68no—
727#237—68no—
728#237—64no—
729#237—64no—
730D3×D4—44no—
731D3×D4—64no—
732D3×D4—68no—
733D3×D4—68no—
734D3×D4—68no—
735D3×D4—68no—
736D3×D4—64no—
737D3×D4—124no—
738D3×D4—124no—
739#235—24no—
740#235—38no—
741#235—64no—
742#235—64no—
743#235—64no—
744#235—64no—
745#235—68no—
746#235—68no—
747#235—64no—
748#235—64no—
749#235—124no—
750C2×D12—24no—
751C2×D12—24no—
752C2×D12—32no—
753C2×D12—32no—
754C2×D12—31no—
755C2×D12—31no—
756C2×D12—32no—
757C2×D12—32no—
758C2×D12—32no—
759C2×D12—61no—
760C2×D12—64no—
761C2×D12—64no—
762C2×D12C22×D311yescharacteristic
763C2×D12C22×D311yescharacteristic
764C2×D12C22×D312yes—
765C2×D12C22×D311yescharacteristic
766C2×D12C22×D312yes—
767C2×D12C22×D311yescharacteristic
768C2×D12C22×D312yes—
769C2×D12C22×D312yes—
770C2×D12C22×D311yescharacteristic
771C2×C4×D3—24no—
772C2×C4×D3—32no—
773C2×C4×D3—32no—
774C2×C4×D3—32no—
775C2×C4×D3—32no—
776C2×C4×D3—32no—
777C2×C4×D3—32no—
778C2×C4×D3—32no—
779C2×C4×D3—32no—
780C2×C4×D3—32no—
781C2×C4×D3—62no—
782C2×C4×D3—68no—
783C2×C4×D3C22×D311yescharacteristic
784C2×C4×D3C22×D311yescharacteristic
785C2×C4×D3C22×D311yescharacteristic
786C2×C4×D3C22×D311yescharacteristic
787C2×C4×D3C22×D312yes—
788C2×C4×D3C22×D311yescharacteristic
789C2×Dic6—31no—
790C2×Dic6—31no—
791C2×Dic6—31no—
792C2×Dic6—31no—
793C2×Dic6—32no—
794C2×Dic6—32no—
795C2×Dic6—61no—
796C2×Dic6—61no—
797C2×Dic6—62no—
798C2×Dic6—64no—
799C2×Dic6—64no—
800C2×Dic6—124no—
801C2×Dic6C22×D311yescharacteristic
802C3×C4⋊C4—21no—
803C3×C4⋊C4—31no—
804C3×C4⋊C4—31no—
805C3×C4⋊C4—31no—
806C3×C4⋊C4—31no—
807C3×C4⋊C4—31no—
808C3×C4⋊C4—31no—
809C3×C4⋊C4C22×D311yescharacteristic
810C3×C4⋊C4C22×D311yescharacteristic
811C3×C22⋊C4—21no—
812C3×C22⋊C4—21no—
813C3×C22⋊C4—31no—
814C3×C22⋊C4—31no—
815C3×C22⋊C4—32no—
816C3×C22⋊C4—32no—
817C3×C22⋊C4—32no—
818C3×C22⋊C4—31no—
819C3×C22⋊C4—31no—
820C3×C22⋊C4—31no—
821C3×C22⋊C4—31no—
822C3×C22⋊C4—31no—
823C3×C22⋊C4—31no—
824C3×C22⋊C4C22×D311yescharacteristic
825C3×C22⋊C4C22×D311yescharacteristic
826C3×C22⋊C4C22×D311yescharacteristic
827C3×C22⋊C4C22×D311yescharacteristic
828C3×C42—21no—
829C3×C42—31no—
830C3×C42C22×D311yescharacteristic
831C3×C42C22×D311yescharacteristic
832#217—32no—
833#217—32no—
834#217—32no—
835#217—32no—
836#217—32no—
837#217—32no—
838#217—32no—
839#217—32no—
840#217—62no—
841#217C22×D311yescharacteristic
842#217C22×D311yescharacteristic
843(C2×D3)⋊C4—32no—
844(C2×D3)⋊C4—32no—
845(C2×D3)⋊C4—32no—
846(C2×D3)⋊C4—32no—
847(C2×D3)⋊C4—32no—
848(C2×D3)⋊C4—32no—
849(C2×D3)⋊C4—32no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—32no—
852(C2×D3)⋊C4—32no—
853(C2×D3)⋊C4—32no—
854(C2×D3)⋊C4—32no—
855(C2×D3)⋊C4—32no—
856(C2×D3)⋊C4—32no—
857(C2×D3)⋊C4—62no—
858(C2×D3)⋊C4—62no—
859(C2×D3)⋊C4—62no—
860(C2×D3)⋊C4C22×D311yescharacteristic
861(C2×D3)⋊C4C22×D311yescharacteristic
862(C2×D3)⋊C4C22×D312yes—
863(C2×D3)⋊C4C22×D311yescharacteristic
864(C2×D3)⋊C4C22×D311yescharacteristic
865(C2×D3)⋊C4C22×D311yescharacteristic
866(C2×D3)⋊C4C22×D312yes—
867(C2×D3)⋊C4C22×D312yes—
868(C2×D3)⋊C4C22×D311yescharacteristic
869C4⋊Dic3—31no—
870C4⋊Dic3—31no—
871C4⋊Dic3—32no—
872C4⋊Dic3—32no—
873C4⋊Dic3—61no—
874C4⋊Dic3C22×D311yescharacteristic
875C4⋊Dic3C22×D311yescharacteristic
876Dic3⋊C4—32no—
877Dic3⋊C4—32no—
878Dic3⋊C4—32no—
879Dic3⋊C4—32no—
880Dic3⋊C4—32no—
881Dic3⋊C4—32no—
882Dic3⋊C4—32no—
883Dic3⋊C4—32no—
884Dic3⋊C4—62no—
885Dic3⋊C4—62no—
886Dic3⋊C4C22×D311yescharacteristic
887Dic3⋊C4C22×D311yescharacteristic
888Dic3⋊C4C22×D311yescharacteristic
889Dic3⋊C4C22×D311yescharacteristic
890C4×Dic3—32no—
891C4×Dic3—32no—
892C4×Dic3—32no—
893C4×Dic3—32no—
894C4×Dic3—62no—
895C4×Dic3C22×D311yescharacteristic
896C22×C32—21no—
897C22×C32—21no—
898C22×C32—21no—
899C22×C32—21no—
900C22×C32—21no—
901C22×C32H(5,𝔽2)12yescomplemented
902C22×C32C2511yescharacteristic
903C2×C3⋊D3—22no—
904C2×C3⋊D3—22no—
905C2×C3⋊D3—22no—
906C2×C3×D3—21no—
907C2×C3×D3—22no—
908C2×C3×D3—21no—
909C2×C3×D3—22no—
910C2×C3×D3—22no—
911C2×C3×D3—22no—
912C2×C3×D3—21no—
913C2×C3×D3—21no—
914C2×C3×D3—21no—
915C2×C3×D3—21no—
916C2×C3×D3—22no—
917C2×C3×D3—22no—
918C2×C3×D3—22no—
919C2×C3×D3—21no—
920C2×C3×D3—21no—
921C2×C3×D3—22no—
922C2×C3×D3—44no—
923C2×C3×D3—48no—
924C2×C3×D3—84no—
925C2×C3×D3C22×D414yes—
926C2×C3×D3C22×D412yes—
927D32—84no—
928D32—84no—
929C32×C4—21no—
930C32×C4—21no—
931C32×C4—21no—
932C32×C4—21no—
933C32×C4C22×D412yes—
934C3⋊Dic3—22no—
935C3⋊Dic3—22no—
936C3⋊Dic3C22×D414yes—
937C3×Dic3—21no—
938C3×Dic3—21no—
939C3×Dic3—21no—
940C3×Dic3—22no—
941C3×Dic3—21no—
942C3×Dic3C22×D412yes—
943H(5,𝔽2)—188no—
944C2×#41—31no—
945C2×#41—91no—
946C2×#41—91no—
947C2×#41—92no—
948C2×#41—92no—
949C2×#41—91no—
950C2×#41—91no—
951C2×#41—91no—
952C2×#41—92no—
953C2×#41—91no—
954C2×#41—188no—
955C22×Q8—91no—
956C22×D4—32no—
957C22×D4—31no—
958C22×D4—31no—
959C22×D4—91no—
960C22×D4—91no—
961C22×D4—92no—
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—91no—
971#127—92no—
972#127—92no—
973#124—91no—
974#124—92no—
975#124—92no—
976#124—91no—
977#123—31no—
978#123—31no—
979#123—92no—
980#123—92no—
981C22⋊Q8—31no—
982C22⋊Q8—31no—
983C22⋊Q8—92no—
984C22⋊Q8—92no—
985C22⋊Q8—91no—
986C22⋊Q8—91no—
987C22⋊Q8—92no—
988#121—31no—
989#121—31no—
990#121—31no—
991#121—32no—
992#121—31no—
993#121—92no—
994#121—92no—
995#121—92no—
996#121—92no—
997#121—92no—
998#121—92no—
999#121—92no—
1000#121—92no—
1001#121—91no—
1002#121—92no—
1003#121—92no—
1004#121—92no—
1005#121—92no—
1006#121—91no—
1007#121—91no—
1008#121—92no—
1009#121—92no—
1010#121—92no—
1011#121—92no—
1012#121—91no—
1013#120—31no—
1014#120—31no—
1015#120—32no—
1016#120—32no—
1017#120—92no—
1018#120—92no—
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—31no—
1028C4×D4—31no—
1029C4×D4—91no—
1030C4×D4—92no—
1031C4×D4—92no—
1032C4×D4—92no—
1033C4×D4—92no—
1034C4×D4—92no—
1035C4×D4—92no—
1036C4×D4D3211yescharacteristic, complemented
1037#117—31no—
1038#117—92no—
1039C2×C4⋊C4—92no—
1040C2×C4⋊C4—91no—
1041C2×C22⋊C4—92no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—32no—
1047C23×C3—31no—
1048C23×C3—32no—
1049C23×C3—31no—
1050C23×C3—32no—
1051C23×C3—31no—
1052C23×C3—64no—
1053C23×C3—62no—
1054C23×C3—64no—
1055C23×C3—62no—
1056C23×C3—64no—
1057C23×C3—122no—
1058C23×C3—121no—
1059C23×C3—122no—
1060C23×C3—122no—
1061C23×C3C23×D311yescharacteristic
1062C23×C3C23×D311yescharacteristic
1063C23×C3C23×D311yescharacteristic
1064C23×C3C23×D311yescharacteristic
1065C22×D3—24no—
1066C22×D3—22no—
1067C22×D3—22no—
1068C22×D3—24no—
1069C22×D3—24no—
1070C22×D3—32no—
1071C22×D3—32no—
1072C22×D3—41no—
1073C22×D3—42no—
1074C22×D3—42no—
1075C22×D3—42no—
1076C22×D3—62no—
1077C22×D3—64no—
1078C22×D3—64no—
1079C22×D3—64no—
1080C22×D3—64no—
1081C22×D3—122no—
1082C22×D3—122no—
1083C22×D3—122no—
1084C22×D3—122no—
1085C22×D3—122no—
1086C22×D3—122no—
1087C22×D3—122no—
1088C22×D3—122no—
1089C22×D3C23×D312yes—
1090C22×D3C23×D311yescharacteristic
1091C22×D3C23×D312yes—
1092C22×D3C23×D311yescharacteristic
1093C22×D3C23×D312yes—
1094C22×D3C23×D311yescharacteristic
1095C3×Q8—62no—
1096C3×D4—22no—
1097C3×D4—22no—
1098C3×D4—34no—
1099C3×D4—42no—
1100C3×D4—62no—
1101C3×D4—64no—
1102C3×D4—64no—
1103C3×D4—62no—
1104C3×D4—62no—
1105C3×D4—62no—
1106C3×D4—64no—
1107C3×D4—62no—
1108C3×D4—62no—
1109C3×D4—122no—
1110C3×D4—121no—
1111C3×D4—122no—
1112C3×D4—121no—
1113C3×D4—122no—
1114C2×C3×C4—22no—
1115C2×C3×C4—22no—
1116C2×C3×C4—22no—
1117C2×C3×C4—22no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—31no—
1124C2×C3×C4—34no—
1125C2×C3×C4—31no—
1126C2×C3×C4—32no—
1127C2×C3×C4—31no—
1128C2×C3×C4—31no—
1129C2×C3×C4—31no—
1130C2×C3×C4—42no—
1131C2×C3×C4—42no—
1132C2×C3×C4—62no—
1133C2×C3×C4—62no—
1134C2×C3×C4—62no—
1135C2×C3×C4—62no—
1136C2×C3×C4—62no—
1137C2×C3×C4—122no—
1138C2×C3×C4C23×D311yescharacteristic
1139C2×C3×C4C23×D311yescharacteristic
1140C2×C3×C4C23×D311yescharacteristic
1141C2×C3×C4C23×D311yescharacteristic
1142C2×C3×C4C23×D311yescharacteristic
1143C2×C3×C4C23×D311yescharacteristic
1144C2×C3×C4C23×D311yescharacteristic
1145C2×C3×C4C23×D311yescharacteristic
1146C2×C3×C4C23×D311yescharacteristic
1147C2×C3×C4C23×D311yescharacteristic
1148#67—24no—
1149#67—22no—
1150#67—22no—
1151#67—22no—
1152#67—38no—
1153#67—38no—
1154#67—42no—
1155#67—41no—
1156#67—64no—
1157#67—64no—
1158#67—64no—
1159#67—64no—
1160#67—64no—
1161#67—64no—
1162#67—64no—
1163#67—64no—
1164#67—64no—
1165#67—64no—
1166#67—64no—
1167#67—64no—
1168#67—64no—
1169#67—64no—
1170#67—124no—
1171#67—124no—
1172#67—122no—
1173#67—122no—
1174#67—122no—
1175#67—122no—
1176#67—122no—
1177#67—122no—
1178#67—122no—
1179C2×Dic3—22no—
1180C2×Dic3—32no—
1181C2×Dic3—32no—
1182C2×Dic3—38no—
1183C2×Dic3—32no—
1184C2×Dic3—32no—
1185C2×Dic3—32no—
1186C2×Dic3—32no—
1187C2×Dic3—62no—
1188C2×Dic3—62no—
1189C2×Dic3—62no—
1190C2×Dic3—64no—
1191C2×Dic3—64no—
1192C2×Dic3—64no—
1193C2×Dic3—64no—
1194C2×Dic3—64no—
1195C2×Dic3—64no—
1196C2×Dic3—124no—
1197C2×Dic3—122no—
1198C2×Dic3—122no—
1199C2×Dic3C23×D311yescharacteristic
1200C2×Dic3C23×D312yes—
1201C2×Dic3C23×D311yescharacteristic
1202C2×Dic3C23×D311yescharacteristic
1203C2×Dic3C23×D311yescharacteristic
1204C2×Dic3C23×D311yescharacteristic
1205D12—24no—
1206D12—24no—
1207D12—22no—
1208D12—22no—
1209D12—22no—
1210D12—41no—
1211D12—42no—
1212D12—42no—
1213D12—64no—
1214D12—64no—
1215D12—62no—
1216D12—62no—
1217D12—122no—
1218D12—122no—
1219D12—122no—
1220D12—122no—
1221D12D3×D414yescomplemented
1222C4×D3—22no—
1223C4×D3—22no—
1224C4×D3—22no—
1225C4×D3—22no—
1226C4×D3—38no—
1227C4×D3—42no—
1228C4×D3—64no—
1229C4×D3—64no—
1230C4×D3—64no—
1231C4×D3—64no—
1232C4×D3—64no—
1233C4×D3—64no—
1234C4×D3—124no—
1235C4×D3—122no—
1236C4×D3—122no—
1237C4×D3D3×D414yescomplemented
1238Dic6—22no—
1239Dic6—34no—
1240Dic6—34no—
1241Dic6—64no—
1242Dic6—64no—
1243Dic6—64no—
1244Dic6—62no—
1245Dic6—62no—
1246Dic6—124no—
1247Dic6—122no—
1248C2×C32—22no—
1249C2×C32—41no—
1250C2×C32C23×D411yescharacteristic
1251C2×C32C2×H(5,𝔽2)11yescharacteristic
1252C2×C32#58511yescharacteristic
1253C3⋊D3—42no—
1254C3×D3—22no—
1255C3×D3—24no—
1256C3×D3—41no—
1257C3×D3—42no—
1258C3×D3—41no—
1259C3×D3—42no—
1260C24—31no—
1261C24—32no—
1262C24—32no—
1263C24—92no—
1264C24—92no—
1265#41—64no—
1266#41—98no—
1267#41—184no—
1268#41—184no—
1269#41—188no—
1270#41—184no—
1271#41—188no—
1272#41—184no—
1273#41—184no—
1274#41—188no—
1275C2×Q8—31no—
1276C2×Q8—91no—
1277C2×Q8—92no—
1278C2×Q8—91no—
1279C2×Q8—184no—
1280C2×D4—31no—
1281C2×D4—32no—
1282C2×D4—31no—
1283C2×D4—31no—
1284C2×D4—31no—
1285C2×D4—32no—
1286C2×D4—31no—
1287C2×D4—32no—
1288C2×D4—32no—
1289C2×D4—31no—
1290C2×D4—31no—
1291C2×D4—31no—
1292C2×D4—31no—
1293C2×D4—32no—
1294C2×D4—32no—
1295C2×D4—64no—
1296C2×D4—64no—
1297C2×D4—92no—
1298C2×D4—92no—
1299C2×D4—92no—
1300C2×D4—92no—
1301C2×D4—92no—
1302C2×D4—92no—
1303C2×D4—92no—
1304C2×D4—92no—
1305C2×D4—92no—
1306C2×D4—92no—
1307C2×D4—92no—
1308C2×D4—92no—
1309C2×D4—92no—
1310C2×D4—92no—
1311C2×D4—91no—
1312C2×D4—124no—
1313C2×D4—184no—
1314C2×D4—184no—
1315C2×D4—188no—
1316C2×D4—188no—
1317C2×D4—188no—
1318C2×D4—188no—
1319C2×D4—364no—
1320C2×D4—364no—
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—64no—
1330C22×C4—92no—
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—188no—
1340C22×C4C2×D3211yescharacteristic
1341C22×C4C2×D3211yescharacteristic
1342C4⋊C4—31no—
1343C4⋊C4—31no—
1344C4⋊C4—31no—
1345C4⋊C4—31no—
1346C4⋊C4—31no—
1347C4⋊C4—31no—
1348C4⋊C4—92no—
1349C4⋊C4—92no—
1350C4⋊C4—92no—
1351C4⋊C4—92no—
1352C4⋊C4—91no—
1353C4⋊C4—92no—
1354C4⋊C4C2×D3211yescharacteristic
1355C22⋊C4—31no—
1356C22⋊C4—31no—
1357C22⋊C4—31no—
1358C22⋊C4—32no—
1359C22⋊C4—31no—
1360C22⋊C4—31no—
1361C22⋊C4—32no—
1362C22⋊C4—31no—
1363C22⋊C4—31no—
1364C22⋊C4—31no—
1365C22⋊C4—32no—
1366C22⋊C4—92no—
1367C22⋊C4—92no—
1368C22⋊C4—92no—
1369C22⋊C4—92no—
1370C22⋊C4—92no—
1371C22⋊C4—92no—
1372C22⋊C4—92no—
1373C22⋊C4—92no—
1374C22⋊C4—92no—
1375C22⋊C4—92no—
1376C22⋊C4—92no—
1377C22⋊C4C2×D3211yescharacteristic
1378C22⋊C4C2×D3211yescharacteristic
1379C42—31no—
1380C42—92no—
1381C42—92no—
1382C42C2×D3211yescharacteristic
1383C22×C3—21no—
1384C22×C3—21no—
1385C22×C3—21no—
1386C22×C3—21no—
1387C22×C3—21no—
1388C22×C3—21no—
1389C22×C3—21no—
1390C22×C3—21no—
1391C22×C3—21no—
1392C22×C3—21no—
1393C22×C3—22no—
1394C22×C3—21no—
1395C22×C3—34no—
1396C22×C3—32no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—61no—
1403C22×C3—62no—
1404C22×C3—62no—
1405C22×C3—61no—
1406C22×C3—62no—
1407C22×C3—62no—
1408C22×C3—61no—
1409C22×C3—61no—
1410C22×C3—61no—
1411C22×C3—61no—
1412C22×C3—62no—
1413C22×C3—62no—
1414C22×C3—62no—
1415C22×C3—62no—
1416C22×C3—61no—
1417C22×C3—61no—
1418C22×C3—128no—
1419C22×C3—124no—
1420C22×C3—244no—
1421C22×C3#100412yescomplemented
1422C22×C3#100912yescomplemented
1423C22×C3C24×D311yescharacteristic
1424C22×C3C24×D311yescharacteristic
1425C2×D3—22no—
1426C2×D3—21no—
1427C2×D3—21no—
1428C2×D3—22no—
1429C2×D3—21no—
1430C2×D3—21no—
1431C2×D3—22no—
1432C2×D3—22no—
1433C2×D3—22no—
1434C2×D3—22no—
1435C2×D3—21no—
1436C2×D3—21no—
1437C2×D3—21no—
1438C2×D3—21no—
1439C2×D3—22no—
1440C2×D3—22no—
1441C2×D3—44no—
1442C2×D3—48no—
1443C2×D3—62no—
1444C2×D3—62no—
1445C2×D3—62no—
1446C2×D3—62no—
1447C2×D3—62no—
1448C2×D3—62no—
1449C2×D3—84no—
1450C2×D3—122no—
1451C2×D3—122no—
1452C2×D3—122no—
1453C2×D3—244no—
1454C2×D3—244no—
1455C2×D3—244no—
1456C2×D3—244no—
1457C2×D3C2×D3×D412yes—
1458C2×D3C2×D3×D414yes—
1459C3×C4—21no—
1460C3×C4—21no—
1461C3×C4—21no—
1462C3×C4—21no—
1463C3×C4—21no—
1464C3×C4—21no—
1465C3×C4—21no—
1466C3×C4—21no—
1467C3×C4—22no—
1468C3×C4—32no—
1469C3×C4—41no—
1470C3×C4—41no—
1471C3×C4—41no—
1472C3×C4—41no—
1473C3×C4—61no—
1474C3×C4—61no—
1475C3×C4—61no—
1476C3×C4—62no—
1477C3×C4—61no—
1478C3×C4C2×D3×D412yes—
1479C3×C4C2×D3×D412yes—
1480Dic3—21no—
1481Dic3—21no—
1482Dic3—22no—
1483Dic3—21no—
1484Dic3—21no—
1485Dic3—34no—
1486Dic3—34no—
1487Dic3—64no—
1488Dic3—62no—
1489Dic3—62no—
1490Dic3—62no—
1491Dic3—62no—
1492Dic3—122no—
1493Dic3—122no—
1494Dic3C2×D3×D412yes—
1495C32#348811yescharacteristic, complemented, Sylow
1496C23—31no—
1497C23—32no—
1498C23—31no—
1499C23—31no—
1500C23—32no—
1501C23—32no—
1502C23—62no—
1503C23—64no—
1504C23—64no—
1505C23—64no—
1506C23—62no—
1507C23—92no—
1508C23—122no—
1509C23—121no—
1510C23—122no—
1511C23—122no—
1512C23—184no—
1513C23—184no—
1514C23—362no—
1515C23—362no—
1516C23—362no—
1517C23—362no—
1518C23C22×D3211yescharacteristic
1519C23C22×D3211yescharacteristic
1520Q8—62no—
1521Q8—94no—
1522Q8—184no—
1523Q8—182no—
1524D4—22no—
1525D4—34no—
1526D4—64no—
1527D4—64no—
1528D4—62no—
1529D4—62no—
1530D4—62no—
1531D4—64no—
1532D4—62no—
1533D4—62no—
1534D4—62no—
1535D4—98no—
1536D4—122no—
1537D4—121no—
1538D4—122no—
1539D4—122no—
1540D4—121no—
1541D4—184no—
1542D4—184no—
1543D4—184no—
1544D4—184no—
1545D4—184no—
1546D4—184no—
1547D4—184no—
1548D4—184no—
1549D4—182no—
1550D4—362no—
1551D4—362no—
1552D4—362no—
1553D4—362no—
1554D4—362no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—31no—
1558C2×C4—34no—
1559C2×C4—31no—
1560C2×C4—31no—
1561C2×C4—32no—
1562C2×C4—31no—
1563C2×C4—31no—
1564C2×C4—62no—
1565C2×C4—62no—
1566C2×C4—62no—
1567C2×C4—62no—
1568C2×C4—62no—
1569C2×C4—98no—
1570C2×C4—92no—
1571C2×C4—92no—
1572C2×C4—92no—
1573C2×C4—122no—
1574C2×C4—184no—
1575C2×C4—184no—
1576C2×C4—184no—
1577C2×C4—184no—
1578C2×C4—184no—
1579C2×C4—184no—
1580C2×C4—362no—
1581C2×C4—362no—
1582C2×C4C22×D3211yescharacteristic
1583C2×C4C22×D3211yescharacteristic
1584C2×C4C22×D3211yescharacteristic
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—41no—
1594C2×C3—41no—
1595C2×C3—64no—
1596C2×C3—62no—
1597C2×C3—81no—
1598C2×C3—122no—
1599C2×C3—122no—
1600C2×C3—121no—
1601C2×C3—121no—
1602C2×C3C22×D3×D411yescharacteristic
1603C2×C3C22×D3×D411yescharacteristic
1604C2×C3C2×#100411yescharacteristic
1605C2×C3C2×#100911yescharacteristic
1606C2×C3#596411yescharacteristic
1607C2×C3#596611yescharacteristic
1608D3—22no—
1609D3—24no—
1610D3—41no—
1611D3—41no—
1612D3—42no—
1613D3—42no—
1614D3—122no—
1615D3—122no—
1616D3—242no—
1617C22—21no—
1618C22—21no—
1619C22—21no—
1620C22—21no—
1621C22—21no—
1622C22—32no—
1623C22—34no—
1624C22—62no—
1625C22—61no—
1626C22—62no—
1627C22—61no—
1628C22—62no—
1629C22—61no—
1630C22—62no—
1631C22—61no—
1632C22—61no—
1633C22—61no—
1634C22—62no—
1635C22—62no—
1636C22—61no—
1637C22—62no—
1638C22—62no—
1639C22—61no—
1640C22—128no—
1641C22—124no—
1642C22—182no—
1643C22—182no—
1644C22—182no—
1645C22—244no—
1646C22—724no—
1647C22—724no—
1648C22#6430712yescomplemented
1649C22C23×D3211yescharacteristic
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—32no—
1655C4—62no—
1656C4—61no—
1657C4—61no—
1658C4—61no—
1659C4—61no—
1660C4—94no—
1661C4—182no—
1662C4—182no—
1663C4D32×D412yes—
1664C3—21no—
1665C3#8604111yescharacteristic, complemented
1666C3#8660711yescharacteristic, complemented
1667C2—22no—
1668C2—41no—
1669C2—64no—
1670C2—62no—
1671C2—122no—
1672C2—121no—
1673C2—122no—
1674C2—121no—
1675C2—362no—
1676C2C2×#6430711yescharacteristic
1677C2C2×D32×D411yescharacteristic
1678C2#1059669611yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4×D4C22
hypercenterC4×D4D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#64307C2semidirect
2. C22×#3795C2semidirect
3. #10596023C2semidirect
4. C3×D4×D12C2semidirect
5. C3×#5547C2semidirect
6. #10595287C2semidirect
7. D3×#939C2semidirect
8. D12×#67C2semidirect
9. D3×#930C2semidirect
10. #10595004C2semidirect
11. #10594919C2semidirect
12. #10594918C2semidirect
13. #10594886C2semidirect
14. #10594617C2semidirect
15. #10594368C2semidirect
16. #10594274C2semidirect
17. #10594271C2semidirect
18. #10594269C2semidirect
19. #10594055C2semidirect
20. #10594003C2semidirect
21. #10594000C2semidirect
22. #10593906C2semidirect
23. #10593887C2semidirect
26. C2×#3828C22semidirect
27. C22×#634C22semidirect
28. C2×C3×D3×D4C22semidirect
29. C2×C3×#235C22semidirect
30. C22×C3×D12C22semidirect
31. C22×C3×D12C22semidirect
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. C22×D3×Dic3C22semidirect
40. C2×#3802C22semidirect
41. C2×D3×D12C22semidirect
42. C2×D3×D12C22semidirect
43. C2×#3796C22semidirect
46. C2×#3795C22semidirect
47. C2×#3795C22semidirect
48. C2×#3795C22semidirect
49. C2×#3795C22semidirect
50. C2×#3795C22semidirect
51. C2×#3795C22semidirect
52. C32×C4×D4C22semidirect
53. #64148C22semidirect
54. #64139C22semidirect
55. #64133C22semidirect
56. #64105C22semidirect
57. #64094C22semidirect
58. #64090C22semidirect
59. #64084C22semidirect
60. C4×#634C22semidirect
61. C3×#939C22semidirect
62. C3×#937C22semidirect
63. C3×#930C22semidirect
64. C3×#930C22semidirect
65. C3×C4×#67C22semidirect
66. C3×C4×#67C22semidirect
67. C3×#896C22semidirect
68. C3×#895C22semidirect
69. C3×#894C22semidirect
70. C3×#884C22semidirect
71. C3×#883C22semidirect
72. C3×#882C22semidirect
73. C3×#882C22semidirect
74. C3×#882C22semidirect
75. C3×#878C22semidirect
76. C3×#874C22semidirect
77. C3×C4×D12C22semidirect
78. C3×C4×D12C22semidirect
79. C3×#872C22semidirect
80. #63980C22semidirect
81. #63979C22semidirect
82. #63978C22semidirect
83. #63977C22semidirect
84. #63976C22semidirect
85. #67⋊Dic3C22semidirect
86. #63971C22semidirect
87. #63970C22semidirect
88. #63970C22semidirect
89. D3×#217C22semidirect
90. #63922C22semidirect
91. #63922C22semidirect
92. #63922C22semidirect
93. #63922C22semidirect
94. D3×(C2×D3)⋊C4C22semidirect
95. D3×(C2×D3)⋊C4C22semidirect
96. #63914C22semidirect
97. #63913C22semidirect
98. #63912C22semidirect
99. #63911C22semidirect
100. #63909C22semidirect
101. #63908C22semidirect
102. #63908C22semidirect
103. #63906C22semidirect
104. #63906C22semidirect
105. #63902C22semidirect
106. #63898C22semidirect
107. #63896C22semidirect
108. Dic3×D12C22semidirect
109. #63890C22semidirect
110. D3×C4⋊Dic3C22semidirect
111. #63887C22semidirect
112. #63886C22semidirect
113. #63886C22semidirect
114. #63886C22semidirect
115. #63885C22semidirect
116. #63885C22semidirect
117. #63885C22semidirect
118. #63885C22semidirect
119. #63884C22semidirect
120. #63881C22semidirect
121. #63879C22semidirect
122. #63878C22semidirect
123. D3×Dic3⋊C4C22semidirect
124. #63860C22semidirect
125. #63857C22semidirect
126. #63844C22semidirect
169. D4×D12D3semidirect
170. #5547D3semidirect
255. #3795D4semidirect
330. C2×D3×D4C2×D3semidirect
342. C2×#235C2×D3semidirect
345. C22×D12C2×D3semidirect
346. C22×D12C2×D3semidirect
348. C22×C4×D3C2×D3semidirect
371. C3×C4×D4C2×D3semidirect
372. C3×C4×D4C2×D3semidirect
399. #939C2×D3semidirect
409. #937C2×D3semidirect
424. #930C2×D3semidirect
425. #930C2×D3semidirect
427. C4×#67C2×D3semidirect
428. C4×#67C2×D3semidirect
442. #896C2×D3semidirect
447. #895C2×D3semidirect
450. #894C2×D3semidirect
472. #884C2×D3semidirect
473. #883C2×D3semidirect
479. #882C2×D3semidirect
480. #882C2×D3semidirect
481. #882C2×D3semidirect
495. #878C2×D3semidirect
502. #874C2×D3semidirect
504. C4×D12C2×D3semidirect
505. C4×D12C2×D3semidirect
506. #872C2×D3semidirect
553. #634C2×D4semidirect
575. C3×D12C2×D4semidirect
581. C3×C4×D3C2×D4semidirect
594. #625C2×D4semidirect
601. D3×Dic3C2×D4semidirect
901. C22×C32H(5,𝔽2)semidirect
1036. C4×D4D32semidirect
1221. D12D3×D4semidirect
1237. C4×D3D3×D4semidirect
1421. C22×C3#1004semidirect
1422. C22×C3#1009semidirect
1495. C32#3488semidirect
1648. C22#64307semidirect
1665. C3#86041semidirect
1666. C3#86607semidirect

Maximal subgroups

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

subgroupindex
C2×#643072
C22×#37952
#105960232
C3×D4×D122
C3×#55472
#105952872
D3×#9392
D12×#672
D3×#9302
#105950042
#105949192
#105949182
#105948862
#105946172
#105943682
#105942742
#105942712
#105942692
#105940552
#105940032
#105940002
#105939062
#105938872
#866073
#860413