Finite Group Databasebeta

← #11904686

Subgroups — #11904686

Order 1152.

3483 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64308C211yesmaximal, characteristic, complemented
2C2×D3×#235C211yesmaximal, characteristic, complemented
3#10596021C211yesmaximal, characteristic, complemented
4C3×#5553C211yesmaximal, characteristic, complemented
5C3×#5547C211yesmaximal, characteristic, complemented
6#10595299C212yesmaximal, complemented
7#10595295C212yesmaximal, complemented
8#10595078C211yesmaximal, characteristic, complemented
9#10595074C211yesmaximal, characteristic, complemented
10D3×#930C211yesmaximal, characteristic, complemented
11#10595007C211yesmaximal, characteristic, complemented
12#10595004C211yesmaximal, characteristic, complemented
13#10594899C211yesmaximal, characteristic, complemented
14#10594623C212yesmaximal, complemented
15#10594619C212yesmaximal, complemented
16#10594279C212yesmaximal, complemented
17#10594275C212yesmaximal, complemented
18#10594265C212yesmaximal, complemented
19#10594069C212yesmaximal, complemented
20#10594004C211yesmaximal, characteristic, complemented
21#10594000C211yesmaximal, characteristic, complemented
22#10593899C211yesmaximal, characteristic, complemented
23#10593890C211yesmaximal, characteristic, complemented
24#86769—31nomaximal
25#86041—31nomaximal
26C2×#3828C2211yescharacteristic, complemented
27C22×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
28C2×C3×#235C2211yescharacteristic, complemented
29C2×C3×#235C2211yescharacteristic, complemented
30C2×C3×#235C2211yescharacteristic, complemented
31C22×C3×C4×D3C2211yescharacteristic, complemented
32C2×#3811C2212yescomplemented
33C2×#3811C2212yescomplemented
34C2×#3811C2212yescomplemented
35C2×D3×#67C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C2×#3804C2212yescomplemented
38#64308—28no—
39D3×#235—28no—
40C2×#3802C2212yescomplemented
41C2×D3×D12C2211yescharacteristic, complemented
42C2×D3×D12C2211yescharacteristic, complemented
43C2×D3×D12C2212yescomplemented
44C2×D3×D12C2211yescharacteristic, complemented
45C2×C4×D32C2212yescomplemented
46C2×#3799C2211yescharacteristic
47C2×#3799C2212yescomplemented
48C2×#3799C2211yescharacteristic, complemented
49C2×#3798C2212yescomplemented
50C2×#3795C2211yescharacteristic, complemented
51C2×D3×Dic6C2211yescharacteristic, complemented
52C32×C4×D4C2211yescharacteristic, complemented
53#64146C2212yescomplemented
54#64139C2211yescharacteristic, complemented
55#64133C2211yescharacteristic, complemented
56#64103C2212yescomplemented
57#64093C2212yescomplemented
58C22⋊C4×C3⋊D3C2212yescomplemented
59#64084C2211yescharacteristic, complemented
60C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
61C3×#940C2212yescomplemented
62C3×#939C2211yescharacteristic, complemented
63C3×#937C2211yescharacteristic, complemented
64C3×#930C2211yescharacteristic, complemented
65C3×#930C2211yescharacteristic, complemented
66C3×C4×#67C2211yescharacteristic, complemented
67C3×C4×#67C2211yescharacteristic, complemented
68C3×#896C2211yescharacteristic, complemented
69C3×#894C2211yescharacteristic, complemented
70C3×#893C2212yescomplemented
71C3×#884C2212yescomplemented
72C3×#884C2211yescharacteristic, complemented
73C3×#884C2212yescomplemented
74C3×#883C2211yescharacteristic, complemented
75C3×#882C2211yescharacteristic, complemented
76C3×#878C2211yescharacteristic, complemented
77C3×#874C2211yescharacteristic, complemented
78C3×C4×D12C2211yescharacteristic, complemented
79C3×#872C2211yescharacteristic, complemented
80C3×C4×Dic6C2211yescharacteristic, complemented
81#63983C2212yescomplemented
82#63981C2212yescomplemented
83#63979C2212yescomplemented
84#63978C2212yescomplemented
85#63970C2212yescomplemented
86#63970C2212yescomplemented
87#63970C2212yescomplemented
88#63959C2212yescomplemented
89#63958C2212yescomplemented
90#63958C2212yescomplemented
91#63923C2212yescomplemented
92#63922C2212yescomplemented
93#63922C2212yescomplemented
94#63922C2212yescomplemented
95#63922C2212yescomplemented
96#63921C2212yescomplemented
97D3×(C2×D3)⋊C4C2212yescomplemented
98#63916C2212yescomplemented
99#63911C2211yescharacteristic, complemented
100#63910C2212yescomplemented
101#63909C2211yescharacteristic, complemented
102#63908C2211yescharacteristic, complemented
103#63908C2211yescharacteristic, complemented
104#63906C2212yescomplemented
105#63906C2212yescomplemented
106#63904C2212yescomplemented
107#63895C2212yescomplemented
108#63894C2211yescharacteristic, complemented
109D3×C4⋊Dic3C2211yescharacteristic, complemented
110#63887C2212yescomplemented
111#63886C2212yescomplemented
112#63886C2212yescomplemented
113#63886C2212yescomplemented
114#63885C2212yescomplemented
115#63883C2212yescomplemented
116#63881C2212yescomplemented
117#63880C2212yescomplemented
118#63880C2212yescomplemented
119#63879C2212yescomplemented
120#63860C2211yescharacteristic, complemented
121#63857C2211yescharacteristic, complemented
122#63853C2212yescomplemented
123#63852C2212yescomplemented
124#63851C2212yescomplemented
125Dic3×Dic6C2211yescharacteristic, complemented
126#63836C2212yescomplemented
127C2×#1009—31no—
128C2×#1009—31no—
129C2×D3×#41—31no—
130C22×#235—31no—
131C3×#550—31no—
132C3×#525—31no—
133#5834—31no—
134#5833—31no—
135#5831—31no—
136C2×#930—31no—
137#5717—32no—
138#5717—31no—
139#5715—32no—
140#5715—31no—
141#5654—32no—
142#5654—32no—
143#5629—32no—
144#5627—32no—
145#5612—31no—
146#5612—32no—
147#5609—31no—
148#5609—32no—
149#5608—31no—
150#5608—32no—
151#5607—32no—
152D3×#121—31no—
153D3×#121—32no—
154D3×#121—32no—
155#5590—32no—
156#5590—32no—
157#5576—31no—
158#5574—31no—
159#5553—31no—
160#5553D311yescharacteristic, complemented
161#5552—31no—
162#5552—31no—
163#5550—31no—
164#5550—31no—
165#5550—31no—
166#5550—32no—
167#5550—61no—
168D4×D12—31no—
169D4×D12—31no—
170#5547—32no—
171#5547D311yescharacteristic, complemented
172#5525—31no—
173#5523—31no—
174C23×C3⋊D3C2312yes—
175C23×C3×D3C2311yescharacteristic
176C22×D32C2312yes—
177C22×D32C2312yes—
178C22×D32C2312yes—
179C2×C32×D4C2311yescharacteristic
180C22×C32×C4C2311yescharacteristic
181C22×C32×C4C2311yescharacteristic
182C2×#638C2312yes—
183C2×#638C2312yes—
184#3828—24no—
185C2×C4⋊(C3⋊D3)—24no—
186C2×C4⋊(C3⋊D3)C2311yescharacteristic
187C2×C4⋊(C3⋊D3)C2312yes—
188C2×C4⋊(C3⋊D3)C2311yescharacteristic
189C2×C4×C3⋊D3C2312yes—
190C2×C4×C3⋊D3C2312yes—
191C2×#634C2311yescharacteristic
192C2×C3×#67C2311yescharacteristic
193C2×C3×#67C2311yescharacteristic
194C2×C3×#67C2311yescharacteristic
195C2×C3×#67C2312yes—
196C2×C3×#67C2312yes—
197C2×C3×#67C2311yescharacteristic
198C2×C3×#67C2312yes—
199C2×C3×#67C2312yes—
200C22×C3×Dic3C2311yescharacteristic
201C3×#235—24no—
202C3×#235—24no—
203C3×#235—24no—
204C2×C3×D12C2311yescharacteristic
205C2×C3×D12C2311yescharacteristic
206C2×C3×D12C2311yescharacteristic
207C2×C3×D12C2311yescharacteristic
208C2×C3×D12C2312yes—
209C2×C3×D12C2312yes—
210C2×C3×C4×D3—24no—
211C2×C3×C4×D3C2311yescharacteristic
212C2×C3×C4×D3C2312yes—
213C2×C3×C4×D3C2312yes—
214C2×C3×C4×D3C2311yescharacteristic
215C2×C3×C4×D3C2311yescharacteristic
216C2×C3×C4×D3C2311yescharacteristic
217C2×C3×C4×D3C2311yescharacteristic
218C2×C3×Dic6C2311yescharacteristic
219C2×C3×Dic6C2311yescharacteristic
220#3811—28no—
221#3811—28no—
222#3811—44no—
223D3×#67—28no—
224D3×#67—44no—
225C2×#627C2312yes—
226C2×#626C2312yes—
227C2×#626C2312yes—
228C2×#626C2312yes—
229C2×#626C2312yes—
230C2×#626C2312yes—
231C2×#626C2312yes—
232C2×#626C2312yes—
233C2×#626C2312yes—
234C2×#625C2312yes—
235C2×#625C2312yes—
236C2×#625C2312yes—
237C2×#624C2312yes—
238C2×#624C2312yes—
239C2×#624C2312yes—
240#3804—28no—
241C2×D3×Dic3C2312yes—
242C2×D3×Dic3C2312yes—
243C2×D3×Dic3C2312yes—
244#3802—44no—
245D3×D12—24no—
246D3×D12—24no—
247D3×D12—24no—
248D3×D12—28no—
249C4×D32—28no—
250#3799—24no—
251#3799—28no—
252#3799D418yescomplemented
253#3798—28no—
254#3795—24no—
255D3×Dic6—24no—
256C32×C4⋊C4C2311yescharacteristic
257C32×C22⋊C4C2311yescharacteristic
258C32×C22⋊C4C2311yescharacteristic
259C32×C42C2311yescharacteristic
260#3757C2312yes—
261#3752C2312yes—
262#3752C2312yes—
263#3752C2312yes—
264#3752C2312yes—
265C4⋊(C3⋊Dic3)C2311yescharacteristic
266#3750C2312yes—
267C3×#217C2311yescharacteristic
268C3×#217C2311yescharacteristic
269C3×(C2×D3)⋊C4C2311yescharacteristic
270C3×(C2×D3)⋊C4C2311yescharacteristic
271C3×(C2×D3)⋊C4C2312yes—
272C3×(C2×D3)⋊C4C2312yes—
273C3×(C2×D3)⋊C4C2311yescharacteristic
274C3×(C2×D3)⋊C4C2311yescharacteristic
275C3×(C2×D3)⋊C4C2311yescharacteristic
276C3×(C2×D3)⋊C4C2311yescharacteristic
277C3×C4⋊Dic3C2311yescharacteristic
278C3×C4⋊Dic3C2311yescharacteristic
279C3×Dic3⋊C4C2311yescharacteristic
280C3×Dic3⋊C4C2311yescharacteristic
281C3×Dic3⋊C4C2311yescharacteristic
282C3×Dic3⋊C4C2312yes—
283C3×Dic3⋊C4C2311yescharacteristic
284C3×C4×Dic3C2312yes—
285C3×C4×Dic3C2311yescharacteristic
286Dic3⋊Dic3C2312yes—
287Dic3⋊Dic3C2312yes—
288Dic3⋊Dic3C2312yes—
289#3722C2312yes—
290#3722C2312yes—
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—
299C2×C3×#41—31no—
300C2×C3×#41—31no—
301C23×C3×C4—31no—
302C22×#67—32no—
303C22×#67—32no—
304#1009—68no—
305#1009—68no—
306D3×#41—68no—
307C2×#239—31no—
308C2×#239—31no—
309C2×#239—32no—
310C2×D3×Q8—31no—
311C2×#237—32no—
312C2×#237—31no—
313C2×D3×D4—32no—
314C2×D3×D4—32no—
315C2×D3×D4—32no—
316C2×D3×D4—32no—
317C2×D3×D4—32no—
318C2×D3×D4—32no—
319C2×D3×D4—32no—
320C2×D3×D4—32no—
321C2×D3×D4—32no—
322C2×D3×D4—32no—
323C2×D3×D4—32no—
324C2×D3×D4—31no—
325C2×D3×D4—31no—
326C2×D3×D4—31no—
327C2×#235—31no—
328C2×#235—31no—
329C2×#235—32no—
330C2×#235—31no—
331C2×#235—32no—
332C2×#235—32no—
333C2×#235—31no—
334C2×#235—32no—
335C2×#235—31no—
336C2×#235—61no—
337C2×#235—68no—
338C2×#235C2×D311yescharacteristic, complemented
339C2×#235C2×D311yescharacteristic, complemented
340C2×#235C2×D311yescharacteristic, complemented
341C22×D12—31no—
342C22×D12—31no—
343C22×D12—31no—
344C22×D12—31no—
345C22×D12—31no—
346C22×D12—32no—
347C22×D12—61no—
348C22×C4×D3—32no—
349C22×C4×D3—32no—
350C22×C4×D3C2×D311yescharacteristic, complemented
351C22×Dic6—31no—
352C3×#127—32no—
353C3×#127—31no—
354C3×#123—31no—
355C3×#123—31no—
356C3×C22⋊Q8—31no—
357C3×C22⋊Q8—31no—
358C3×#121—31no—
359C3×#121—31no—
360C3×#121—31no—
361C3×#121—31no—
362C3×#121—32no—
363C3×#121—32no—
364C3×#120—31no—
365C3×#120—31no—
366C3×C4×Q8—31no—
367C3×C4×D4—21no—
368C3×C4×D4—31no—
369C3×C4×D4—31no—
370C3×C4×D4—32no—
371C3×C4×D4—31no—
372C3×C4×D4C2×D311yescharacteristic, complemented
373C3×C4×D4C2×D311yescharacteristic, complemented
374C3×#117—31no—
375#946—32no—
376Q8×Dic3—31no—
377#940—32no—
378#940—32no—
379#940—31no—
380#940C2×D312yescomplemented
381#939—32no—
382#939—32no—
383#939—32no—
384#939—32no—
385#939—32no—
386#939—32no—
387#939—32no—
388#939—32no—
389#939C2×D311yescharacteristic, complemented
390#938—32no—
391#938—32no—
392#938—32no—
393#938—31no—
394#938—31no—
395#938—32no—
396#938—32no—
397#938—32no—
398#937—32no—
399#937—32no—
400#937—32no—
401#937—32no—
402#937—32no—
403#937—32no—
404#937—32no—
405#937—32no—
406#937—32no—
407#937—62no—
408#937C2×D311yescharacteristic, complemented
409#936—32no—
410#936—31no—
411#930—31no—
412#930—31no—
413#930—32no—
414#930—31no—
415#930—31no—
416#930—32no—
417#930—32no—
418#930—31no—
419#930—61no—
420#930C2×D311yescharacteristic, complemented
421#930C2×D311yescharacteristic, complemented
422C4×#67—32no—
423C4×#67—32no—
424C4×#67C2×D311yescharacteristic, complemented
425C4×#67C2×D311yescharacteristic, complemented
426C2×(C2×D3)⋊C4—32no—
427C2×C4⋊Dic3—31no—
428#924—31no—
429#924—31no—
430#924—31no—
431#924—32no—
432#924—61no—
433#897—31no—
434#897—32no—
435#896—32no—
436#896—32no—
437#896C2×D311yescharacteristic, complemented
438#895—32no—
439#895—32no—
440#895—32no—
441#895—32no—
442#895—31no—
443#895—32no—
444#894—32no—
445#894—32no—
446#894—32no—
447#894—62no—
448#894C2×D311yescharacteristic, complemented
449#893—32no—
450#893—32no—
451#893—31no—
452#893C2×D312yescomplemented
453#892—32no—
454D3×C4⋊C4—31no—
455D3×C4⋊C4—32no—
456D3×C4⋊C4—32no—
457#885—32no—
458#885—32no—
459#884—32no—
460#884—32no—
461#884—32no—
462#884—32no—
463#884—32no—
464#884—32no—
465#884—32no—
466#884—32no—
467#884—62no—
468#884C2×D312yescomplemented
469#884C2×D311yescharacteristic, complemented
470#884C2×D312yescomplemented
471#883—32no—
472#883C2×D311yescharacteristic, complemented
473#882—32no—
474#882—32no—
475#882—32no—
476#882—32no—
477#882—32no—
478#882—32no—
479#882—32no—
480#882C2×D311yescharacteristic, complemented
481#67⋊C4—32no—
482#67⋊C4—32no—
483#67⋊C4—32no—
484#67⋊C4—32no—
485D3×C22⋊C4—32no—
486D3×C22⋊C4—32no—
487D3×C22⋊C4—32no—
488D3×C22⋊C4—32no—
489D3×C22⋊C4—32no—
490D3×C22⋊C4—62no—
491#878—32no—
492#878C2×D311yescharacteristic, complemented
493#875—31no—
494#875—31no—
495#875—31no—
496#875—32no—
497#875—61no—
498#874—31no—
499#874C2×D311yescharacteristic, complemented
500C4×D12—31no—
501C4×D12—31no—
502C4×D12—32no—
503C4×D12—32no—
504C4×D12—31no—
505C4×D12—61no—
506C4×D12C2×D311yescharacteristic, complemented
507#872—32no—
508#872C2×D311yescharacteristic, complemented
509C4×Dic6—31no—
510C4×Dic6C2×D311yescharacteristic, complemented
511C23×C32C2411yescharacteristic
512C23×C32C2411yescharacteristic
513C22×C3⋊D3—24no—
514C22×C3⋊D3—42no—
515C22×C3⋊D3—42no—
516C22×C3⋊D3C2412yes—
517C22×C3⋊D3C2412yes—
518C22×C3×D3—22no—
519C22×C3×D3—22no—
520C22×C3×D3—41no—
521C22×C3×D3C2412yes—
522C22×C3×D3C2411yescharacteristic
523C22×C3×D3C2412yes—
524C22×C3×D3C2411yescharacteristic
525C22×C3×D3C2411yescharacteristic
526C2×D32—24no—
527C2×D32—24no—
528C2×D32—24no—
529C2×D32—24no—
530C2×D32—42no—
531C2×D32—42no—
532C2×D32—42no—
533C2×D32—42no—
534C2×D32—42no—
535C32×D4—41no—
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—42no—
545C2×C3⋊Dic3C2412yes—
546C2×C3⋊Dic3C2412yes—
547C4⋊(C3⋊D3)—24no—
548C4⋊(C3⋊D3)—22no—
549C4⋊(C3⋊D3)C2×D414yescomplemented
550C4×C3⋊D3—24no—
551C4×C3⋊D3—42no—
552#634—22no—
553C3×#67—22no—
554C3×#67—22no—
555C3×#67—24no—
556C3×#67—22no—
557C3×#67—24no—
558C3×#67—42no—
559C3×#67—42no—
560C3×#67—41no—
561C2×C3×Dic3—22no—
562C2×C3×Dic3C2411yescharacteristic
563C2×C3×Dic3C2411yescharacteristic
564C2×C3×Dic3C2411yescharacteristic
565C2×C3×Dic3C2411yescharacteristic
566C2×C3×Dic3C2412yes—
567C2×C3×Dic3C2412yes—
568C2×C3×Dic3C2411yescharacteristic
569C3×D12—22no—
570C3×D12—22no—
571C3×D12—22no—
572C3×D12—22no—
573C3×D12—42no—
574C3×D12—42no—
575C3×C4×D3—22no—
576C3×C4×D3—22no—
577C3×C4×D3—22no—
578C3×C4×D3—24no—
579C3×C4×D3—24no—
580C3×C4×D3—22no—
581C3×C4×D3C2×D414yescomplemented
582C3×Dic6—22no—
583C3×Dic6C2×D414yescomplemented
584#627—24no—
585#626—24no—
586#626—24no—
587#626—24no—
588#626—24no—
589#626—24no—
590#626—42no—
591#626—42no—
592#626C2×D418yescomplemented
593#625—24no—
594#625—24no—
595#625—42no—
596#624—24no—
597#624—42no—
598#624C2×D418yescomplemented
599D3×Dic3—24no—
600D3×Dic3—24no—
601D3×Dic3—42no—
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—31no—
605#550—91no—
606#548—91no—
607#548—91no—
608#546—91no—
609#546—92no—
610#546—92no—
611#546—91no—
612D42—91no—
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—92no—
623C2×#121—91no—
624#520—91no—
625C24×C3—31no—
626C23×D3—32no—
627C23×D3—32no—
628C23×D3—32no—
629C23×D3—32no—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3—32no—
634C23×D3—62no—
635C23×D3C22×D311yescharacteristic
636C3×#41—64no—
637C3×#41—64no—
638C3×#41—64no—
639C2×C3×Q8—31no—
640C2×C3×Q8—31no—
641C2×C3×D4—21no—
642C2×C3×D4—32no—
643C2×C3×D4—31no—
644C2×C3×D4—32no—
645C2×C3×D4—31no—
646C2×C3×D4—31no—
647C2×C3×D4—31no—
648C2×C3×D4—32no—
649C2×C3×D4—32no—
650C2×C3×D4—31no—
651C2×C3×D4—31no—
652C2×C3×D4—31no—
653C2×C3×D4—31no—
654C2×C3×D4—32no—
655C2×C3×D4—32no—
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—32no—
663C22×C3×C4—31no—
664C22×C3×C4—31no—
665C22×C3×C4—32no—
666C22×C3×C4—31no—
667C22×C3×C4—31no—
668C22×C3×C4—64no—
669C22×C3×C4C22×D311yescharacteristic
670C22×C3×C4C22×D311yescharacteristic
671C22×C3×C4C22×D311yescharacteristic
672C22×C3×C4C22×D311yescharacteristic
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—62no—
692C2×#67—62no—
693C2×#67—68no—
694C2×#67—124no—
695C2×#67C22×D311yescharacteristic
696C2×#67C22×D312yes—
697C2×#67C22×D312yes—
698C2×#67C22×D311yescharacteristic
699C2×#67C22×D311yescharacteristic
700C2×#67C22×D312yes—
701C2×#67C22×D311yescharacteristic
702C2×#67C22×D312yes—
703C22×Dic3—32no—
704C22×Dic3—32no—
705C22×Dic3—32no—
706C22×Dic3C22×D311yescharacteristic
707#239—38no—
708#239—68no—
709#239—64no—
710D3×Q8—64no—
711#237—68no—
712#237—64no—
713D3×D4—64no—
714D3×D4—64no—
715D3×D4—68no—
716D3×D4—68no—
717D3×D4—68no—
718D3×D4—68no—
719D3×D4—68no—
720D3×D4—68no—
721D3×D4—64no—
722D3×D4—124no—
723D3×D4—124no—
724D3×D4—124no—
725D3×D4—124no—
726D3×D4—124no—
727#235—24no—
728#235—24no—
729#235—24no—
730#235—38no—
731#235—68no—
732#235—68no—
733#235—68no—
734#235—68no—
735#235—64no—
736#235—64no—
737#235—64no—
738#235—64no—
739#235—124no—
740C2×D12—32no—
741C2×D12—31no—
742C2×D12—31no—
743C2×D12—32no—
744C2×D12—32no—
745C2×D12—32no—
746C2×D12—32no—
747C2×D12—32no—
748C2×D12—31no—
749C2×D12—31no—
750C2×D12—32no—
751C2×D12—32no—
752C2×D12—32no—
753C2×D12—32no—
754C2×D12—61no—
755C2×D12—61no—
756C2×D12—62no—
757C2×D12—64no—
758C2×D12—68no—
759C2×D12—64no—
760C2×D12—64no—
761C2×D12—64no—
762C2×D12—64no—
763C2×D12—124no—
764C2×D12C22×D311yescharacteristic
765C2×D12C22×D311yescharacteristic
766C2×D12C22×D311yescharacteristic
767C2×D12C22×D311yescharacteristic
768C2×D12C22×D312yes—
769C2×D12C22×D312yes—
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—32no—
777C2×C4×D3—32no—
778C2×C4×D3—32no—
779C2×C4×D3—32no—
780C2×C4×D3—32no—
781C2×C4×D3—32no—
782C2×C4×D3—32no—
783C2×C4×D3—32no—
784C2×C4×D3—62no—
785C2×C4×D3—62no—
786C2×C4×D3—68no—
787C2×C4×D3—68no—
788C2×C4×D3C22×D311yescharacteristic
789C2×C4×D3C22×D311yescharacteristic
790C2×C4×D3C22×D311yescharacteristic
791C2×C4×D3C22×D312yes—
792C2×C4×D3C22×D311yescharacteristic
793C2×C4×D3C22×D312yes—
794C2×C4×D3C22×D311yescharacteristic
795C2×Dic6—31no—
796C2×Dic6—31no—
797C2×Dic6—32no—
798C2×Dic6—32no—
799C2×Dic6—61no—
800C2×Dic6—64no—
801C2×Dic6C22×D311yescharacteristic
802C2×Dic6C22×D311yescharacteristic
803C3×C4⋊C4—21no—
804C3×C4⋊C4—31no—
805C3×C4⋊C4—32no—
806C3×C4⋊C4—31no—
807C3×C4⋊C4—31no—
808C3×C4⋊C4—31no—
809C3×C4⋊C4—31no—
810C3×C4⋊C4—31no—
811C3×C4⋊C4C22×D311yescharacteristic
812C3×C4⋊C4C22×D311yescharacteristic
813C3×C22⋊C4—21no—
814C3×C22⋊C4—21no—
815C3×C22⋊C4—31no—
816C3×C22⋊C4—31no—
817C3×C22⋊C4—32no—
818C3×C22⋊C4—32no—
819C3×C22⋊C4—31no—
820C3×C22⋊C4—31no—
821C3×C22⋊C4—31no—
822C3×C22⋊C4—31no—
823C3×C22⋊C4—31no—
824C3×C22⋊C4—31no—
825C3×C22⋊C4C22×D311yescharacteristic
826C3×C22⋊C4C22×D311yescharacteristic
827C3×C22⋊C4C22×D311yescharacteristic
828C3×C22⋊C4C22×D311yescharacteristic
829C3×C42—21no—
830C3×C42—31no—
831C3×C42—32no—
832C3×C42C22×D311yescharacteristic
833C3×C42C22×D311yescharacteristic
834#217—32no—
835#217—32no—
836#217—32no—
837#217—32no—
838#217—32no—
839#217—32no—
840#217—32no—
841#217—62no—
842#217C22×D311yescharacteristic
843#217C22×D311yescharacteristic
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—32no—
858(C2×D3)⋊C4—32no—
859(C2×D3)⋊C4—32no—
860(C2×D3)⋊C4—32no—
861(C2×D3)⋊C4—62no—
862(C2×D3)⋊C4—62no—
863(C2×D3)⋊C4—62no—
864(C2×D3)⋊C4—62no—
865(C2×D3)⋊C4C22×D311yescharacteristic
866(C2×D3)⋊C4C22×D311yescharacteristic
867(C2×D3)⋊C4C22×D311yescharacteristic
868(C2×D3)⋊C4C22×D311yescharacteristic
869(C2×D3)⋊C4C22×D311yescharacteristic
870(C2×D3)⋊C4C22×D312yes—
871(C2×D3)⋊C4C22×D311yescharacteristic
872(C2×D3)⋊C4C22×D312yes—
873C4⋊Dic3—31no—
874C4⋊Dic3—31no—
875C4⋊Dic3—32no—
876C4⋊Dic3—32no—
877C4⋊Dic3—32no—
878C4⋊Dic3—61no—
879C4⋊Dic3C22×D311yescharacteristic
880C4⋊Dic3C22×D311yescharacteristic
881Dic3⋊C4—32no—
882Dic3⋊C4—32no—
883Dic3⋊C4—32no—
884Dic3⋊C4—32no—
885Dic3⋊C4—32no—
886Dic3⋊C4—62no—
887Dic3⋊C4C22×D312yes—
888Dic3⋊C4C22×D311yescharacteristic
889Dic3⋊C4C22×D311yescharacteristic
890Dic3⋊C4C22×D311yescharacteristic
891Dic3⋊C4C22×D311yescharacteristic
892C4×Dic3—32no—
893C4×Dic3—32no—
894C4×Dic3C22×D312yes—
895C4×Dic3C22×D311yescharacteristic
896C22×C32—21no—
897C22×C32—21no—
898C22×C32—21no—
899C22×C32—21no—
900C22×C32—21no—
901C22×C32—21no—
902C22×C32C2511yescharacteristic
903C2×C3⋊D3—22no—
904C2×C3⋊D3—22no—
905C2×C3⋊D3—22no—
906C2×C3⋊D3—22no—
907C2×C3⋊D3—22no—
908C2×C3⋊D3—84no—
909C2×C3⋊D3C22×D414yes—
910C2×C3×D3—21no—
911C2×C3×D3—21no—
912C2×C3×D3—21no—
913C2×C3×D3—21no—
914C2×C3×D3—22no—
915C2×C3×D3—22no—
916C2×C3×D3—21no—
917C2×C3×D3—22no—
918C2×C3×D3—21no—
919C2×C3×D3—22no—
920C2×C3×D3—22no—
921C2×C3×D3—22no—
922C2×C3×D3—21no—
923C2×C3×D3—44no—
924C2×C3×D3C22×D412yes—
925C2×C3×D3H(5,𝔽2)12yescomplemented
926D32—48no—
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×Dic3—21no—
937C3×Dic3—21no—
938C3×Dic3—22no—
939C3×Dic3—21no—
940C3×Dic3—21no—
941C3×Dic3C22×D412yes—
942C3×Dic3C22×D414yes—
943H(5,𝔽2)—188no—
944C2×#41—31no—
945C2×#41—31no—
946C2×#41—31no—
947C2×#41—92no—
948C2×#41—91no—
949C2×#41—92no—
950C2×#41—91no—
951C2×#41—92no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41—188no—
955C22×Q8—91no—
956C22×D4—91no—
957C22×D4—91no—
958C22×D4—91no—
959C22×D4—92no—
960C22×D4—92no—
961C22×D4—92no—
962C22×D4—92no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—92no—
966C22×D4—91no—
967C23×C4—31no—
968C23×C4—92no—
969#127—32no—
970#127—31no—
971#127—91no—
972#127—92no—
973#124—92no—
974#124—91no—
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—92no—
986C22⋊Q8—91no—
987C22⋊Q8—91no—
988#121—31no—
989#121—31no—
990#121—31no—
991#121—31no—
992#121—32no—
993#121—32no—
994#121—92no—
995#121—92no—
996#121—92no—
997#121—92no—
998#121—92no—
999#121—92no—
1000#121—91no—
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—92no—
1011#121—91no—
1012#121—92no—
1013#120—31no—
1014#120—31no—
1015#120—92no—
1016#120—92no—
1017#120—92no—
1018#120—92no—
1019#120—92no—
1020#120—92no—
1021#120—92no—
1022#120—92no—
1023C4×Q8—31no—
1024C4×Q8—91no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—32no—
1028C4×D4—31no—
1029C4×D4—92no—
1030C4×D4—92no—
1031C4×D4—91no—
1032C4×D4—92no—
1033C4×D4—92no—
1034C4×D4—92no—
1035C4×D4—91no—
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—31no—
1047C23×C3—31no—
1048C23×C3—32no—
1049C23×C3—31no—
1050C23×C3—32no—
1051C23×C3—62no—
1052C23×C3—62no—
1053C23×C3—121no—
1054C23×C3C23×D311yescharacteristic
1055C23×C3C23×D311yescharacteristic
1056C23×C3C23×D311yescharacteristic
1057C23×C3C23×D311yescharacteristic
1058C22×D3—22no—
1059C22×D3—22no—
1060C22×D3—32no—
1061C22×D3—32no—
1062C22×D3—32no—
1063C22×D3—32no—
1064C22×D3—41no—
1065C22×D3—62no—
1066C22×D3—62no—
1067C22×D3—64no—
1068C22×D3—64no—
1069C22×D3—64no—
1070C22×D3—64no—
1071C22×D3—64no—
1072C22×D3—64no—
1073C22×D3—64no—
1074C22×D3—64no—
1075C22×D3—64no—
1076C22×D3—64no—
1077C22×D3—124no—
1078C22×D3—122no—
1079C22×D3—122no—
1080C22×D3—122no—
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×D3—122no—
1090C22×D3—122no—
1091C22×D3—122no—
1092C22×D3—124no—
1093C22×D3—242no—
1094C22×D3C23×D312yes—
1095C22×D3C23×D311yescharacteristic
1096C22×D3C23×D312yes—
1097C22×D3C23×D311yescharacteristic
1098C22×D3C23×D311yescharacteristic
1099C3×Q8—34no—
1100C3×Q8—62no—
1101C3×D4—41no—
1102C3×D4—41no—
1103C3×D4—42no—
1104C3×D4—62no—
1105C3×D4—62no—
1106C3×D4—64no—
1107C3×D4—62no—
1108C3×D4—64no—
1109C3×D4—62no—
1110C3×D4—62no—
1111C3×D4—62no—
1112C3×D4—62no—
1113C3×D4—122no—
1114C3×D4—122no—
1115C3×D4—122no—
1116C3×D4—122no—
1117C3×D4—121no—
1118C2×C3×C4—22no—
1119C2×C3×C4—22no—
1120C2×C3×C4—22no—
1121C2×C3×C4—22no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—32no—
1128C2×C3×C4—31no—
1129C2×C3×C4—34no—
1130C2×C3×C4—31no—
1131C2×C3×C4—31no—
1132C2×C3×C4—31no—
1133C2×C3×C4—32no—
1134C2×C3×C4—31no—
1135C2×C3×C4—42no—
1136C2×C3×C4—42no—
1137C2×C3×C4—62no—
1138C2×C3×C4—64no—
1139C2×C3×C4—64no—
1140C2×C3×C4—62no—
1141C2×C3×C4—62no—
1142C2×C3×C4—62no—
1143C2×C3×C4—62no—
1144C2×C3×C4C23×D311yescharacteristic
1145C2×C3×C4C23×D311yescharacteristic
1146C2×C3×C4C23×D311yescharacteristic
1147C2×C3×C4C23×D311yescharacteristic
1148C2×C3×C4C23×D311yescharacteristic
1149C2×C3×C4C23×D311yescharacteristic
1150C2×C3×C4C23×D311yescharacteristic
1151C2×C3×C4C23×D311yescharacteristic
1152C2×C3×C4C23×D311yescharacteristic
1153C2×C3×C4C23×D311yescharacteristic
1154#67—22no—
1155#67—22no—
1156#67—24no—
1157#67—22no—
1158#67—24no—
1159#67—38no—
1160#67—42no—
1161#67—42no—
1162#67—41no—
1163#67—64no—
1164#67—64no—
1165#67—64no—
1166#67—64no—
1167#67—64no—
1168#67—64no—
1169#67—64no—
1170#67—64no—
1171#67—64no—
1172#67—64no—
1173#67—64no—
1174#67—124no—
1175#67—122no—
1176#67—122no—
1177#67—122no—
1178#67—122no—
1179#67—122no—
1180#67—122no—
1181#67—242no—
1182C2×Dic3—22no—
1183C2×Dic3—32no—
1184C2×Dic3—32no—
1185C2×Dic3—32no—
1186C2×Dic3—32no—
1187C2×Dic3—62no—
1188C2×Dic3—62no—
1189C2×Dic3—64no—
1190C2×Dic3—64no—
1191C2×Dic3—122no—
1192C2×Dic3C23×D311yescharacteristic
1193C2×Dic3C23×D312yes—
1194C2×Dic3C23×D311yescharacteristic
1195C2×Dic3C23×D311yescharacteristic
1196C2×Dic3C23×D311yescharacteristic
1197C2×Dic3C23×D312yes—
1198C2×Dic3C23×D311yescharacteristic
1199D12—22no—
1200D12—22no—
1201D12—22no—
1202D12—22no—
1203D12—38no—
1204D12—34no—
1205D12—34no—
1206D12—42no—
1207D12—42no—
1208D12—64no—
1209D12—64no—
1210D12—64no—
1211D12—64no—
1212D12—64no—
1213D12—64no—
1214D12—64no—
1215D12—64no—
1216D12—62no—
1217D12—62no—
1218D12—122no—
1219D12—124no—
1220D12—122no—
1221D12—122no—
1222C4×D3—22no—
1223C4×D3—22no—
1224C4×D3—22no—
1225C4×D3—22no—
1226C4×D3—24no—
1227C4×D3—24no—
1228C4×D3—38no—
1229C4×D3—38no—
1230C4×D3—64no—
1231C4×D3—64no—
1232C4×D3—64no—
1233C4×D3—64no—
1234C4×D3—64no—
1235C4×D3—64no—
1236C4×D3—124no—
1237C4×D3—122no—
1238C4×D3—122no—
1239C4×D3—122no—
1240C4×D3—122no—
1241C4×D3—122no—
1242C4×D3—242no—
1243C4×D3D3×D414yescomplemented
1244Dic6—22no—
1245Dic6—64no—
1246Dic6—62no—
1247Dic6—62no—
1248Dic6—64no—
1249Dic6—122no—
1250Dic6D3×D414yescomplemented
1251C2×C32—41no—
1252C2×C32—41no—
1253C2×C32C23×D411yescharacteristic
1254C2×C32C2×H(5,𝔽2)11yescharacteristic
1255C2×C32#58511yescharacteristic
1256C3⋊D3—24no—
1257C3⋊D3—42no—
1258C3×D3—22no—
1259C3×D3—22no—
1260C3×D3—42no—
1261C3×D3—41no—
1262C3×D3—42no—
1263C24—31no—
1264C24—92no—
1265C24—92no—
1266C24—92no—
1267C24—92no—
1268#41—64no—
1269#41—64no—
1270#41—64no—
1271#41—98no—
1272#41—184no—
1273#41—184no—
1274#41—188no—
1275#41—188no—
1276#41—188no—
1277#41—184no—
1278C2×Q8—31no—
1279C2×Q8—31no—
1280C2×Q8—92no—
1281C2×Q8—91no—
1282C2×Q8—184no—
1283C2×D4—31no—
1284C2×D4—31no—
1285C2×D4—31no—
1286C2×D4—32no—
1287C2×D4—32no—
1288C2×D4—31no—
1289C2×D4—32no—
1290C2×D4—32no—
1291C2×D4—31no—
1292C2×D4—31no—
1293C2×D4—31no—
1294C2×D4—31no—
1295C2×D4—32no—
1296C2×D4—32no—
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—91no—
1311C2×D4—92no—
1312C2×D4—91no—
1313C2×D4—184no—
1314C2×D4—184no—
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×D4—364no—
1324C2×D4C2×D3211yescharacteristic
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—32no—
1331C22×C4—32no—
1332C22×C4—31no—
1333C22×C4—64no—
1334C22×C4—92no—
1335C22×C4—92no—
1336C22×C4—92no—
1337C22×C4—92no—
1338C22×C4—92no—
1339C22×C4—92no—
1340C22×C4—92no—
1341C22×C4—92no—
1342C22×C4—188no—
1343C22×C4C2×D3211yescharacteristic
1344C22×C4C2×D3211yescharacteristic
1345C4⋊C4—31no—
1346C4⋊C4—32no—
1347C4⋊C4—31no—
1348C4⋊C4—31no—
1349C4⋊C4—31no—
1350C4⋊C4—31no—
1351C4⋊C4—31no—
1352C4⋊C4—92no—
1353C4⋊C4—92no—
1354C4⋊C4—92no—
1355C4⋊C4—91no—
1356C4⋊C4—92no—
1357C4⋊C4C2×D3211yescharacteristic
1358C22⋊C4—31no—
1359C22⋊C4—31no—
1360C22⋊C4—32no—
1361C22⋊C4—31no—
1362C22⋊C4—31no—
1363C22⋊C4—31no—
1364C22⋊C4—31no—
1365C22⋊C4—31no—
1366C22⋊C4—31no—
1367C22⋊C4—32no—
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⋊C4—92no—
1378C22⋊C4—92no—
1379C22⋊C4—92no—
1380C22⋊C4C2×D3211yescharacteristic
1381C22⋊C4C2×D3211yescharacteristic
1382C42—31no—
1383C42—32no—
1384C42—92no—
1385C42C2×D3211yescharacteristic
1386C22×C3—22no—
1387C22×C3—21no—
1388C22×C3—21no—
1389C22×C3—21no—
1390C22×C3—21no—
1391C22×C3—21no—
1392C22×C3—21no—
1393C22×C3—21no—
1394C22×C3—21no—
1395C22×C3—21no—
1396C22×C3—21no—
1397C22×C3—21no—
1398C22×C3—21no—
1399C22×C3—21no—
1400C22×C3—32no—
1401C22×C3—32no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—41no—
1407C22×C3—61no—
1408C22×C3—61no—
1409C22×C3—61no—
1410C22×C3—61no—
1411C22×C3—62no—
1412C22×C3—62no—
1413C22×C3—61no—
1414C22×C3—62no—
1415C22×C3—62no—
1416C22×C3—62no—
1417C22×C3—62no—
1418C22×C3—61no—
1419C22×C3—61no—
1420C22×C3—124no—
1421C22×C3C24×D311yescharacteristic
1422C22×C3C24×D311yescharacteristic
1423C2×D3—21no—
1424C2×D3—21no—
1425C2×D3—21no—
1426C2×D3—21no—
1427C2×D3—22no—
1428C2×D3—21no—
1429C2×D3—22no—
1430C2×D3—21no—
1431C2×D3—22no—
1432C2×D3—22no—
1433C2×D3—21no—
1434C2×D3—22no—
1435C2×D3—22no—
1436C2×D3—34no—
1437C2×D3—34no—
1438C2×D3—44no—
1439C2×D3—64no—
1440C2×D3—62no—
1441C2×D3—62no—
1442C2×D3—62no—
1443C2×D3—62no—
1444C2×D3—62no—
1445C2×D3—62no—
1446C2×D3—62no—
1447C2×D3—62no—
1448C2×D3—62no—
1449C2×D3—62no—
1450C2×D3—122no—
1451C2×D3—122no—
1452C2×D3—122no—
1453C2×D3—122no—
1454C2×D3—122no—
1455C2×D3—128no—
1456C2×D3—128no—
1457C2×D3—244no—
1458C2×D3—244no—
1459C2×D3—244no—
1460C2×D3—244no—
1461C2×D3—244no—
1462C2×D3—244no—
1463C2×D3—248no—
1464C2×D3C2×D3×D412yes—
1465C2×D3#100912yescomplemented
1466C3×C4—21no—
1467C3×C4—21no—
1468C3×C4—21no—
1469C3×C4—21no—
1470C3×C4—21no—
1471C3×C4—21no—
1472C3×C4—21no—
1473C3×C4—21no—
1474C3×C4—22no—
1475C3×C4—34no—
1476C3×C4—32no—
1477C3×C4—41no—
1478C3×C4—41no—
1479C3×C4—41no—
1480C3×C4—41no—
1481C3×C4—61no—
1482C3×C4—61no—
1483C3×C4—62no—
1484C3×C4—61no—
1485C3×C4—61no—
1486C3×C4C2×D3×D412yes—
1487C3×C4C2×D3×D412yes—
1488Dic3—21no—
1489Dic3—21no—
1490Dic3—21no—
1491Dic3—21no—
1492Dic3—22no—
1493Dic3—62no—
1494Dic3—62no—
1495Dic3—62no—
1496Dic3—62no—
1497Dic3—122no—
1498Dic3—122no—
1499Dic3C2×D3×D412yes—
1500Dic3C2×D3×D414yes—
1501C32#348811yescharacteristic, complemented, Sylow
1502C23—31no—
1503C23—31no—
1504C23—31no—
1505C23—32no—
1506C23—32no—
1507C23—62no—
1508C23—62no—
1509C23—92no—
1510C23—92no—
1511C23—121no—
1512C23—184no—
1513C23—184no—
1514C23—184no—
1515C23—184no—
1516C23—184no—
1517C23—362no—
1518C23—362no—
1519C23—362no—
1520C23—362no—
1521C23—362no—
1522C23—362no—
1523C23—362no—
1524C23C22×D3211yescharacteristic
1525C23C22×D3211yescharacteristic
1526Q8—34no—
1527Q8—62no—
1528Q8—184no—
1529Q8—182no—
1530D4—41no—
1531D4—62no—
1532D4—62no—
1533D4—62no—
1534D4—64no—
1535D4—64no—
1536D4—62no—
1537D4—62no—
1538D4—62no—
1539D4—62no—
1540D4—98no—
1541D4—94no—
1542D4—122no—
1543D4—122no—
1544D4—122no—
1545D4—122no—
1546D4—121no—
1547D4—184no—
1548D4—184no—
1549D4—184no—
1550D4—184no—
1551D4—184no—
1552D4—184no—
1553D4—184no—
1554D4—184no—
1555D4—184no—
1556D4—182no—
1557D4—362no—
1558D4—362no—
1559D4—362no—
1560D4—362no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—32no—
1564C2×C4—31no—
1565C2×C4—34no—
1566C2×C4—31no—
1567C2×C4—31no—
1568C2×C4—32no—
1569C2×C4—31no—
1570C2×C4—31no—
1571C2×C4—62no—
1572C2×C4—64no—
1573C2×C4—64no—
1574C2×C4—62no—
1575C2×C4—62no—
1576C2×C4—62no—
1577C2×C4—62no—
1578C2×C4—98no—
1579C2×C4—92no—
1580C2×C4—92no—
1581C2×C4—184no—
1582C2×C4—184no—
1583C2×C4—184no—
1584C2×C4—184no—
1585C2×C4—362no—
1586C2×C4—362no—
1587C2×C4—362no—
1588C2×C4C22×D3211yescharacteristic
1589C2×C4C22×D3211yescharacteristic
1590C2×C4C22×D3211yescharacteristic
1591C2×C4C22×D3211yescharacteristic
1592C2×C4C22×D3211yescharacteristic
1593C2×C3—21no—
1594C2×C3—21no—
1595C2×C3—21no—
1596C2×C3—42no—
1597C2×C3—41no—
1598C2×C3—41no—
1599C2×C3—41no—
1600C2×C3—41no—
1601C2×C3—62no—
1602C2×C3—62no—
1603C2×C3—81no—
1604C2×C3—122no—
1605C2×C3—122no—
1606C2×C3—121no—
1607C2×C3C22×D3×D411yescharacteristic
1608C2×C3C22×D3×D411yescharacteristic
1609C2×C3C2×#100911yescharacteristic
1610C2×C3#596411yescharacteristic
1611C2×C3#596411yescharacteristic
1612C2×C3D3×H(5,𝔽2)11yescharacteristic
1613D3—22no—
1614D3—22no—
1615D3—41no—
1616D3—42no—
1617D3—42no—
1618D3—64no—
1619D3—64no—
1620D3—124no—
1621D3—122no—
1622D3—122no—
1623D3—242no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—32no—
1631C22—32no—
1632C22—61no—
1633C22—61no—
1634C22—61no—
1635C22—61no—
1636C22—62no—
1637C22—62no—
1638C22—61no—
1639C22—62no—
1640C22—62no—
1641C22—61no—
1642C22—61no—
1643C22—62no—
1644C22—62no—
1645C22—94no—
1646C22—124no—
1647C22—182no—
1648C22—182no—
1649C22—182no—
1650C22—182no—
1651C22—182no—
1652C22—368no—
1653C22—724no—
1654C22—724no—
1655C22—724no—
1656C22C23×D3211yescharacteristic
1657C4—21no—
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—32no—
1662C4—34no—
1663C4—61no—
1664C4—61no—
1665C4—61no—
1666C4—61no—
1667C4—62no—
1668C4—182no—
1669C4—182no—
1670C4D32×D412yes—
1671C3—21no—
1672C3#8604111yescharacteristic, complemented
1673C3#8676911yescharacteristic, complemented
1674C2—41no—
1675C2—41no—
1676C2—62no—
1677C2—62no—
1678C2—122no—
1679C2—121no—
1680C2—122no—
1681C2—184no—
1682C2—362no—
1683C2#1059666911yescharacteristic
1684C2C2×D32×D411yescharacteristic
1685C2D3×#100911yescharacteristic
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×#64308C2semidirect
2. C2×D3×#235C2semidirect
3. #10596021C2semidirect
4. C3×#5553C2semidirect
5. C3×#5547C2semidirect
6. #10595299C2semidirect
7. #10595295C2semidirect
8. #10595078C2semidirect
9. #10595074C2semidirect
10. D3×#930C2semidirect
11. #10595007C2semidirect
12. #10595004C2semidirect
13. #10594899C2semidirect
14. #10594623C2semidirect
15. #10594619C2semidirect
16. #10594279C2semidirect
17. #10594275C2semidirect
18. #10594265C2semidirect
19. #10594069C2semidirect
20. #10594004C2semidirect
21. #10594000C2semidirect
22. #10593899C2semidirect
23. #10593890C2semidirect
26. C2×#3828C22semidirect
27. C22×C4⋊(C3⋊D3)C22semidirect
28. C2×C3×#235C22semidirect
29. C2×C3×#235C22semidirect
30. C2×C3×#235C22semidirect
31. C22×C3×C4×D3C22semidirect
32. C2×#3811C22semidirect
33. C2×#3811C22semidirect
34. C2×#3811C22semidirect
35. C2×D3×#67C22semidirect
36. C2×D3×#67C22semidirect
37. C2×#3804C22semidirect
40. C2×#3802C22semidirect
41. C2×D3×D12C22semidirect
42. C2×D3×D12C22semidirect
43. C2×D3×D12C22semidirect
44. C2×D3×D12C22semidirect
45. C2×C4×D32C22semidirect
47. C2×#3799C22semidirect
48. C2×#3799C22semidirect
49. C2×#3798C22semidirect
50. C2×#3795C22semidirect
51. C2×D3×Dic6C22semidirect
52. C32×C4×D4C22semidirect
53. #64146C22semidirect
54. #64139C22semidirect
55. #64133C22semidirect
56. #64103C22semidirect
57. #64093C22semidirect
58. C22⋊C4×C3⋊D3C22semidirect
59. #64084C22semidirect
60. C4×C4⋊(C3⋊D3)C22semidirect
61. C3×#940C22semidirect
62. C3×#939C22semidirect
63. C3×#937C22semidirect
64. C3×#930C22semidirect
65. C3×#930C22semidirect
66. C3×C4×#67C22semidirect
67. C3×C4×#67C22semidirect
68. C3×#896C22semidirect
69. C3×#894C22semidirect
70. C3×#893C22semidirect
71. C3×#884C22semidirect
72. C3×#884C22semidirect
73. C3×#884C22semidirect
74. C3×#883C22semidirect
75. C3×#882C22semidirect
76. C3×#878C22semidirect
77. C3×#874C22semidirect
78. C3×C4×D12C22semidirect
79. C3×#872C22semidirect
80. C3×C4×Dic6C22semidirect
81. #63983C22semidirect
82. #63981C22semidirect
83. #63979C22semidirect
84. #63978C22semidirect
85. #63970C22semidirect
86. #63970C22semidirect
87. #63970C22semidirect
88. #63959C22semidirect
89. #63958C22semidirect
90. #63958C22semidirect
91. #63923C22semidirect
92. #63922C22semidirect
93. #63922C22semidirect
94. #63922C22semidirect
95. #63922C22semidirect
96. #63921C22semidirect
97. D3×(C2×D3)⋊C4C22semidirect
98. #63916C22semidirect
99. #63911C22semidirect
100. #63910C22semidirect
101. #63909C22semidirect
102. #63908C22semidirect
103. #63908C22semidirect
104. #63906C22semidirect
105. #63906C22semidirect
106. #63904C22semidirect
107. #63895C22semidirect
108. #63894C22semidirect
109. D3×C4⋊Dic3C22semidirect
110. #63887C22semidirect
111. #63886C22semidirect
112. #63886C22semidirect
113. #63886C22semidirect
114. #63885C22semidirect
115. #63883C22semidirect
116. #63881C22semidirect
117. #63880C22semidirect
118. #63880C22semidirect
119. #63879C22semidirect
120. #63860C22semidirect
121. #63857C22semidirect
122. #63853C22semidirect
123. #63852C22semidirect
124. #63851C22semidirect
125. Dic3×Dic6C22semidirect
126. #63836C22semidirect
160. #5553D3semidirect
171. #5547D3semidirect
252. #3799D4semidirect
338. C2×#235C2×D3semidirect
339. C2×#235C2×D3semidirect
340. C2×#235C2×D3semidirect
350. C22×C4×D3C2×D3semidirect
372. C3×C4×D4C2×D3semidirect
373. C3×C4×D4C2×D3semidirect
380. #940C2×D3semidirect
389. #939C2×D3semidirect
408. #937C2×D3semidirect
420. #930C2×D3semidirect
421. #930C2×D3semidirect
424. C4×#67C2×D3semidirect
425. C4×#67C2×D3semidirect
437. #896C2×D3semidirect
448. #894C2×D3semidirect
452. #893C2×D3semidirect
468. #884C2×D3semidirect
469. #884C2×D3semidirect
470. #884C2×D3semidirect
472. #883C2×D3semidirect
480. #882C2×D3semidirect
492. #878C2×D3semidirect
499. #874C2×D3semidirect
506. C4×D12C2×D3semidirect
508. #872C2×D3semidirect
510. C4×Dic6C2×D3semidirect
549. C4⋊(C3⋊D3)C2×D4semidirect
581. C3×C4×D3C2×D4semidirect
583. C3×Dic6C2×D4semidirect
592. #626C2×D4semidirect
598. #624C2×D4semidirect
925. C2×C3×D3H(5,𝔽2)semidirect
1036. C4×D4D32semidirect
1243. C4×D3D3×D4semidirect
1250. Dic6D3×D4semidirect
1465. C2×D3#1009semidirect
1501. C32#3488semidirect
1672. C3#86041semidirect
1673. C3#86769semidirect

Maximal subgroups

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

subgroupindex
C2×#643082
C2×D3×#2352
#105960212
C3×#55532
C3×#55472
#105952992
#105952952
#105950782
#105950742
D3×#9302
#105950072
#105950042
#105948992
#105946232
#105946192
#105942792
#105942752
#105942652
#105940692
#105940042
#105940002
#105938992
#105938902
#867693
#860413