Finite Group Databasebeta

← #11904701

Subgroups — #11904701

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×D3×#239C211yesmaximal, characteristic, complemented
2C2×#64314C211yesmaximal, characteristic, complemented
3#10596147C211yesmaximal, characteristic, complemented
4C3×#5677C211yesmaximal, characteristic, complemented
5C3×#5674C211yesmaximal, characteristic, complemented
6#10595431C211yesmaximal, characteristic, complemented
7#10595401C211yesmaximal, characteristic, complemented
8#10595398C211yesmaximal, characteristic, complemented
9#10595297C211yesmaximal, characteristic, complemented
10D3×#938C211yesmaximal, characteristic, complemented
11#10595158C211yesmaximal, characteristic, complemented
12#10594287C212yesmaximal, complemented
13#10594286C212yesmaximal, complemented
14#10594281C212yesmaximal, complemented
15#10594277C212yesmaximal, complemented
16#10594275C212yesmaximal, complemented
17#10594265C212yesmaximal, complemented
18#10594069C212yesmaximal, complemented
19#10594063C212yesmaximal, complemented
20#10594004C211yesmaximal, characteristic, complemented
21#10593997C211yesmaximal, characteristic, complemented
22#10593900C211yesmaximal, characteristic, complemented
23#10593890C211yesmaximal, characteristic, complemented
24#86713—31nomaximal
25#86331—31nomaximal
26C2×#3832C2211yescharacteristic, complemented
27C2×D4×C3⋊D3C2211yescharacteristic, complemented
28C2×C3×#239C2211yescharacteristic, complemented
29C2×C3×D3×Q8C2211yescharacteristic, complemented
30C2×C3×#237C2211yescharacteristic, complemented
31C2×C3×D3×D4C2211yescharacteristic, complemented
32C2×#3811C2212yescomplemented
33C2×#3811C2212yescomplemented
34C2×D3×#67C2212yescomplemented
35C2×D3×#67C2212yescomplemented
36C22×#626C2212yescomplemented
37C2×#3804C2212yescomplemented
38D3×#239—28no—
39#64314—28no—
40C2×#3802C2212yescomplemented
41C2×D3×D12C2211yescharacteristic, complemented
42C2×D3×D12C2211yescharacteristic, complemented
43C2×D3×D12C2212yescomplemented
44C2×C4×D32C2211yescharacteristic, complemented
45C2×C4×D32C2212yescomplemented
46C2×#3799C2211yescharacteristic
47C2×#3799C2212yescomplemented
48C2×#3798C2211yescharacteristic, complemented
49C2×#3796C2212yescomplemented
50C2×#3796C2211yescharacteristic, complemented
51C2×#3796C2211yescharacteristic, complemented
52C32×#124C2211yescharacteristic, complemented
53#64155C2211yescharacteristic, complemented
54#64147C2211yescharacteristic, complemented
55#64093C2212yescomplemented
56#64092C2212yescomplemented
57#64091C2212yescomplemented
58C22⋊C4×C3⋊D3C2212yescomplemented
59C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
60C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
61C3×#947C2211yescharacteristic, complemented
62C3×#946C2211yescharacteristic, complemented
63C3×#940C2211yescharacteristic, complemented
64C3×#938C2211yescharacteristic, complemented
65C3×#885C2212yescomplemented
66C3×#884C2212yescomplemented
67C3×#884C2212yescomplemented
68C3×#884C2212yescomplemented
69C3×#882C2212yescomplemented
70C3×#882C2212yescomplemented
71C3×#67⋊C4C2212yescomplemented
72C3×#878C2212yescomplemented
73C3×#874C2211yescharacteristic, complemented
74C3×C4×D12C2211yescharacteristic, complemented
75C3×#872C2211yescharacteristic, complemented
76C3×C4×Dic6C2211yescharacteristic, complemented
77#63983C2212yescomplemented
78#63981C2212yescomplemented
79#63979C2212yescomplemented
80#63978C2212yescomplemented
81Dic3×#67C2212yescomplemented
82#63970C2212yescomplemented
83#63970C2212yescomplemented
84D3×#217C2212yescomplemented
85#63958C2212yescomplemented
86#63958C2212yescomplemented
87#63923C2212yescomplemented
88#63923C2211yescharacteristic, complemented
89#63922C2211yescharacteristic, complemented
90#63922C2212yescomplemented
91#63922C2212yescomplemented
92#63921C2212yescomplemented
93#63916C2212yescomplemented
94#63916C2211yescharacteristic, complemented
95#63916C2211yescharacteristic, complemented
96#63911C2212yescomplemented
97#63910C2212yescomplemented
98#63910C2211yescharacteristic, complemented
99#63908C2211yescharacteristic, complemented
100#63908C2211yescharacteristic, complemented
101#63907C2212yescomplemented
102#63906C2212yescomplemented
103#63906C2212yescomplemented
104C4×#626C2211yescharacteristic, complemented
105C4×#626C2211yescharacteristic, complemented
106#63895C2211yescharacteristic, complemented
107#63894C2211yescharacteristic, complemented
108#63893C2211yescharacteristic, complemented
109Dic3×D12C2212yescomplemented
110#63891C2211yescharacteristic, complemented
111#63890C2211yescharacteristic, complemented
112D3×C4⋊Dic3C2211yescharacteristic, complemented
113#63887C2212yescomplemented
114#63886C2212yescomplemented
115#63886C2212yescomplemented
116#63886C2212yescomplemented
117#63886C2211yescharacteristic, complemented
118#63885C2212yescomplemented
119#63883C2212yescomplemented
120#63881C2212yescomplemented
121#63880C2212yescomplemented
122#63879C2212yescomplemented
123#63853C2212yescomplemented
124#63851C2212yescomplemented
125Dic3×Dic6C2211yescharacteristic, complemented
126#63836C2212yescomplemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C22×#239—31no—
130C2×#1004—31no—
131C3×#548—31no—
132C3×#535—31no—
133#5834—31no—
134#5833—31no—
135#5817—31no—
136C2×#938—31no—
137#5718—31no—
138#5718—31no—
139#5717—31no—
140#5717—31no—
141#5677—31no—
142#5677D311yescharacteristic, complemented
143#5676—31no—
144#5676—31no—
145#5676—31no—
146#5676—32no—
147#5676—61no—
148#5674—32no—
149#5674D311yescharacteristic, complemented
150#5630—31no—
151#5630—32no—
152#5629—31no—
153#5629—32no—
154#5609—31no—
155#5609—32no—
156#5608—32no—
157#5607—32no—
158#5606—32no—
159D3×#121—31no—
160D3×#121—32no—
161D3×#121—32no—
162#5591—32no—
163#5591—32no—
164#5590—32no—
165#5590—32no—
166#5577—31no—
167#5574—31no—
168D4×D12—32no—
169D4×D12—31no—
170#5547—32no—
171#5547—31no—
172#5524—31no—
173#5523—31no—
174C23×C3⋊D3C2312yes—
175C23×C3×D3C2312yes—
176C22×D32C2312yes—
177C22×D32C2311yescharacteristic
178C22×D32C2312yes—
179C2×C32×Q8C2311yescharacteristic
180C2×C32×D4C2311yescharacteristic
181C2×#638C2312yes—
182C2×#638C2312yes—
183#3832—24no—
184D4×C3⋊D3—24no—
185C2×C4⋊(C3⋊D3)C2312yes—
186C2×C4⋊(C3⋊D3)C2311yescharacteristic
187C2×C4⋊(C3⋊D3)C2311yescharacteristic
188C2×C4×C3⋊D3C2311yescharacteristic
189C2×C4×C3⋊D3C2311yescharacteristic
190C2×C4×C3⋊D3C2312yes—
191C2×C4×C3⋊D3C2312yes—
192C2×C3×#67C2312yes—
193C2×C3×#67C2312yes—
194C2×C3×#67C2312yes—
195C2×C3×#67C2312yes—
196C2×C3×#67C2312yes—
197C22×C3×Dic3C2312yes—
198C3×#239—24no—
199C3×D3×Q8—24no—
200C3×#237—24no—
201C3×D3×D4—24no—
202C2×C3×D12C2312yes—
203C2×C3×D12C2311yescharacteristic
204C2×C3×D12C2311yescharacteristic
205C2×C3×D12C2311yescharacteristic
206C2×C3×D12C2312yes—
207C2×C3×D12C2312yes—
208C2×C3×C4×D3C2312yes—
209C2×C3×C4×D3C2312yes—
210C2×C3×C4×D3C2311yescharacteristic
211C2×C3×C4×D3C2311yescharacteristic
212C2×C3×C4×D3C2311yescharacteristic
213C2×C3×Dic6C2312yes—
214C2×C3×Dic6C2311yescharacteristic
215#3811—28no—
216#3811—44no—
217D3×#67—28no—
218D3×#67—44no—
219C2×#627C2311yescharacteristic
220C2×#626—28no—
221C2×#626C2312yes—
222C2×#626C2312yes—
223C2×#626C2312yes—
224C2×#626C2311yescharacteristic
225C2×#626C2311yescharacteristic
226C2×#626C2312yes—
227C2×#626C2311yescharacteristic
228C2×#626C2312yes—
229C2×#626C2312yes—
230C2×#626C2311yescharacteristic
231C2×#626C2312yes—
232C2×#625C2311yescharacteristic
233C2×#625C2312yes—
234C2×#625C2312yes—
235C2×#624C2311yescharacteristic
236C2×#624C2312yes—
237C2×#624C2312yes—
238#3804—28no—
239C2×D3×Dic3C2312yes—
240C2×D3×Dic3C2311yescharacteristic
241C2×D3×Dic3C2312yes—
242C2×D3×Dic3C2311yescharacteristic
243C2×D3×Dic3C2312yes—
244#3802—44no—
245D3×D12—24no—
246D3×D12—24no—
247D3×D12—28no—
248C4×D32—24no—
249C4×D32—28no—
250#3799—28no—
251#3799D418yescomplemented
252#3798—24no—
253#3796—24no—
254#3796—24no—
255#3796—28no—
256C32×C22⋊C4C2312yes—
257C32×C22⋊C4C2312yes—
258C32×C42C2311yescharacteristic
259#3757C2312yes—
260#3752C2311yescharacteristic
261#3752C2312yes—
262#3752C2311yescharacteristic
263#3752C2312yes—
264C4⋊(C3⋊Dic3)C2311yescharacteristic
265C4⋊(C3⋊Dic3)C2311yescharacteristic
266#3750C2312yes—
267C3×#217C2312yes—
268C3×(C2×D3)⋊C4C2311yescharacteristic
269C3×(C2×D3)⋊C4C2311yescharacteristic
270C3×(C2×D3)⋊C4C2311yescharacteristic
271C3×(C2×D3)⋊C4C2312yes—
272C3×(C2×D3)⋊C4C2312yes—
273C3×(C2×D3)⋊C4C2312yes—
274C3×(C2×D3)⋊C4C2311yescharacteristic
275C3×C4⋊Dic3C2311yescharacteristic
276C3×C4⋊Dic3C2311yescharacteristic
277C3×Dic3⋊C4C2312yes—
278C3×Dic3⋊C4C2312yes—
279C3×Dic3⋊C4C2311yescharacteristic
280C3×Dic3⋊C4C2311yescharacteristic
281C3×C4×Dic3C2312yes—
282C3×C4×Dic3C2311yescharacteristic
283Dic3⋊Dic3C2312yes—
284Dic3⋊Dic3C2312yes—
285Dic3⋊Dic3C2311yescharacteristic
286Dic3⋊Dic3C2311yescharacteristic
287#3722C2312yes—
288#3722C2311yescharacteristic
289#3722C2311yescharacteristic
290(C2×D3)⋊Dic3C2312yes—
291(C2×D3)⋊Dic3C2312yes—
292(C2×D3)⋊Dic3C2312yes—
293(C2×D3)⋊Dic3C2311yescharacteristic
294(C2×D3)⋊Dic3C2311yescharacteristic
295(C2×D3)⋊Dic3C2312yes—
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—31no—
299C2×C3×#41—31no—
300C22×C3×Q8—31no—
301C22×C3×D4—31no—
302C22×#67—32no—
303C22×#67—32no—
304C22×#67—32no—
305#1009—68no—
306D3×#41—68no—
307C2×#239—31no—
308C2×#239—31no—
309C2×#239—32no—
310C2×#239—31no—
311C2×#239—31no—
312C2×#239—31no—
313C2×#239—32no—
314C2×#239—61no—
315C2×#239—68no—
316C2×#239C2×D311yescharacteristic, complemented
317C2×D3×Q8C2×D311yescharacteristic, complemented
318#1004—68no—
319C2×#237—32no—
320C2×#237—31no—
321C2×#237—31no—
322C2×#237—32no—
323C2×#237C2×D311yescharacteristic, complemented
324C2×D3×D4—32no—
325C2×D3×D4—31no—
326C2×D3×D4—31no—
327C2×D3×D4—32no—
328C2×D3×D4—32no—
329C2×D3×D4—32no—
330C2×D3×D4—32no—
331C2×D3×D4—32no—
332C2×D3×D4—32no—
333C2×D3×D4—32no—
334C2×D3×D4—31no—
335C2×D3×D4—31no—
336C2×D3×D4—32no—
337C2×D3×D4—61no—
338C2×D3×D4C2×D311yescharacteristic, complemented
339C2×#235—32no—
340C2×#235—31no—
341C2×#235—31no—
342C2×#235—31no—
343C2×#235—32no—
344C22×D12—32no—
345C22×D12—32no—
346C22×D12—31no—
347C22×D12—31no—
348C22×C4×D3—32no—
349C22×C4×D3—31no—
350C22×C4×D3—31no—
351C22×C4×D3—32no—
352C3×#127—31no—
353C3×#127—31no—
354C3×#124—21no—
355C3×#124—31no—
356C3×#124—32no—
357C3×#124C2×D311yescharacteristic, complemented
358C3×#124C2×D311yescharacteristic, complemented
359C3×C22⋊Q8—31no—
360C3×C22⋊Q8—32no—
361C3×#121—31no—
362C3×#121—32no—
363C3×#121—32no—
364C3×#121—32no—
365C3×#120—32no—
366C3×#120—32no—
367C3×C4×Q8—31no—
368C3×C4×D4—32no—
369C3×C4×D4—31no—
370C3×#117—31no—
371C2×#217—32no—
372#947—32no—
373#947C2×D311yescharacteristic, complemented
374#946—31no—
375#946—31no—
376#946—32no—
377#946—61no—
378#946C2×D311yescharacteristic, complemented
379Q8×Dic3—31no—
380#940—32no—
381#940—32no—
382#940—32no—
383#940C2×D311yescharacteristic, complemented
384#939—32no—
385#939—32no—
386#939—32no—
387#939—32no—
388#939—32no—
389#939—32no—
390#939—31no—
391#939—32no—
392#938—31no—
393#938—31no—
394#938—32no—
395#938—32no—
396#938—31no—
397#938—31no—
398#938—32no—
399#938—32no—
400#938—31no—
401#938—31no—
402#938—32no—
403#938—61no—
404#938C2×D311yescharacteristic, complemented
405#937—32no—
406#937—32no—
407#937—32no—
408#937—32no—
409#937—32no—
410#937—31no—
411D4×Dic3—32no—
412D4×Dic3—32no—
413#930—32no—
414#930—31no—
415#930—31no—
416#930—32no—
417#930—32no—
418C4×#67—32no—
419C4×#67—32no—
420C4×#67—31no—
421C4×#67—31no—
422C2×C4⋊Dic3—31no—
423#924—32no—
424#897—31no—
425#897—31no—
426#896—32no—
427#896—31no—
428#895—31no—
429#895—32no—
430#895—32no—
431#895—32no—
432#895—32no—
433#895—31no—
434#895—31no—
435#895—31no—
436#895—32no—
437#894—32no—
438#894—31no—
439#893—32no—
440#893—31no—
441#892—32no—
442D3×C4⋊C4—31no—
443D3×C4⋊C4—32no—
444D3×C4⋊C4—32no—
445#886—31no—
446#886—31no—
447#885—32no—
448#885C2×D312yescomplemented
449#884—32no—
450#884—32no—
451#884—32no—
452#884—32no—
453#884—32no—
454#884—32no—
455#884—32no—
456#884—31no—
457#884—32no—
458#884—62no—
459#884C2×D312yescomplemented
460#884C2×D312yescomplemented
461#884C2×D312yescomplemented
462#883—32no—
463#883—32no—
464#883—31no—
465#883—32no—
466#883—62no—
467#882—32no—
468#882—32no—
469#882—31no—
470#882—32no—
471#882—32no—
472#882—32no—
473#882—32no—
474#882—32no—
475#882—31no—
476#882—31no—
477#882—62no—
478#882C2×D312yescomplemented
479#882C2×D312yescomplemented
480#67⋊C4—32no—
481#67⋊C4—32no—
482#67⋊C4—32no—
483#67⋊C4C2×D312yescomplemented
484D3×C22⋊C4—32no—
485D3×C22⋊C4—32no—
486D3×C22⋊C4—32no—
487D3×C22⋊C4—32no—
488D3×C22⋊C4—32no—
489D3×C22⋊C4—62no—
490#878—32no—
491#878—31no—
492#878C2×D312yescomplemented
493#874—32no—
494#874C2×D311yescharacteristic, complemented
495C4×D12—32no—
496C4×D12—31no—
497C4×D12—31no—
498C4×D12—31no—
499C4×D12—31no—
500C4×D12—31no—
501C4×D12—31no—
502C4×D12—32no—
503C4×D12—31no—
504C4×D12—61no—
505C4×D12—61no—
506C4×D12C2×D311yescharacteristic, complemented
507#872—32no—
508#872C2×D311yescharacteristic, complemented
509C4×Dic6—31no—
510C4×Dic6C2×D311yescharacteristic, complemented
511C23×C32C2412yes—
512C22×C3⋊D3—24no—
513C22×C3⋊D3—42no—
514C22×C3⋊D3—42no—
515C22×C3⋊D3C2411yescharacteristic
516C22×C3⋊D3C2411yescharacteristic
517C22×C3⋊D3C2412yes—
518C22×C3×D3—24no—
519C22×C3×D3—42no—
520C22×C3×D3—42no—
521C22×C3×D3C2411yescharacteristic
522C22×C3×D3C2412yes—
523C22×C3×D3C2412yes—
524C22×C3×D3C2411yescharacteristic
525C22×C3×D3C2411yescharacteristic
526C2×D32—24no—
527C2×D32—22no—
528C2×D32—24no—
529C2×D32—22no—
530C2×D32—24no—
531C2×D32—41no—
532C2×D32—42no—
533C2×D32—42no—
534C2×D32—42no—
535C32×Q8—22no—
536C32×D4—22no—
537C2×C32×C4C2411yescharacteristic
538C2×C32×C4C2411yescharacteristic
539C2×C32×C4C2412yes—
540C2×C32×C4C2411yescharacteristic
541#638—24no—
542#638—42no—
543C2×C3⋊Dic3C2412yes—
544C2×C3⋊Dic3C2411yescharacteristic
545C2×C3⋊Dic3C2411yescharacteristic
546C4⋊(C3⋊D3)—24no—
547C4⋊(C3⋊D3)—41no—
548C4⋊(C3⋊D3)C2×D414yescomplemented
549C4×C3⋊D3—24no—
550C4×C3⋊D3—22no—
551C4×C3⋊D3—22no—
552C4×C3⋊D3—42no—
553C3×#67—24no—
554C3×#67—24no—
555C3×#67—24no—
556C3×#67—42no—
557C3×#67—42no—
558C2×C3×Dic3—24no—
559C2×C3×Dic3C2411yescharacteristic
560C2×C3×Dic3C2412yes—
561C2×C3×Dic3C2411yescharacteristic
562C2×C3×Dic3C2411yescharacteristic
563C2×C3×Dic3C2411yescharacteristic
564C2×C3×Dic3C2412yes—
565C2×C3×Dic3C2411yescharacteristic
566C3×D12—24no—
567C3×D12—22no—
568C3×D12—22no—
569C3×D12—22no—
570C3×D12—42no—
571C3×D12—42no—
572C3×C4×D3—22no—
573C3×C4×D3—22no—
574C3×C4×D3—24no—
575C3×C4×D3—24no—
576C3×C4×D3C2×D414yescomplemented
577C3×Dic6—24no—
578C3×Dic6C2×D414yescomplemented
579#627—22no—
580#626—24no—
581#626—24no—
582#626—22no—
583#626—22no—
584#626—24no—
585#626—24no—
586#626—22no—
587#626—41no—
588#626—42no—
589#626—42no—
590#626C2×D418yescomplemented
591#625—22no—
592#625—24no—
593#625—42no—
594#624—22no—
595#624—42no—
596#624C2×D418yescomplemented
597D3×Dic3—22no—
598D3×Dic3—24no—
599D3×Dic3—24no—
600D3×Dic3—22no—
601D3×Dic3—42no—
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—91no—
605#550—91no—
606#548—31no—
607#548—91no—
608#546—92no—
609#546—92no—
610#546—91no—
611#546—91no—
612D42—92no—
613D42—91no—
614D42—92no—
615D42—91no—
616#537—92no—
617#537—91no—
618#535—31no—
619#535—92no—
620#525—91no—
621#525—92no—
622C2×#121—92no—
623C2×#121—91no—
624#520—91no—
625C24×C3—32no—
626C23×D3—32no—
627C23×D3—32no—
628C23×D3—31no—
629C23×D3—32no—
630C23×D3—31no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3—32no—
634C23×D3—62no—
635C23×D3C22×D312yes—
636C3×#41—64no—
637C3×#41—64no—
638C2×C3×Q8—21no—
639C2×C3×Q8—31no—
640C2×C3×Q8—32no—
641C2×C3×Q8—64no—
642C2×C3×Q8C22×D311yescharacteristic
643C2×C3×Q8C22×D311yescharacteristic
644C2×C3×D4—21no—
645C2×C3×D4—32no—
646C2×C3×D4—32no—
647C2×C3×D4—32no—
648C2×C3×D4—32no—
649C2×C3×D4—32no—
650C2×C3×D4—31no—
651C2×C3×D4—31no—
652C2×C3×D4—31no—
653C2×C3×D4—32no—
654C2×C3×D4—32no—
655C2×C3×D4—32no—
656C2×C3×D4—64no—
657C2×C3×D4C22×D311yescharacteristic
658C2×C3×D4C22×D311yescharacteristic
659C22×C3×C4—31no—
660C22×C3×C4—32no—
661C22×C3×C4—32no—
662C22×C3×C4—32no—
663C22×C3×C4—31no—
664C22×C3×C4—31no—
665C2×#67—32no—
666C2×#67—32no—
667C2×#67—32no—
668C2×#67—31no—
669C2×#67—32no—
670C2×#67—31no—
671C2×#67—32no—
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—32no—
675C2×#67—32no—
676C2×#67—31no—
677C2×#67—31no—
678C2×#67—32no—
679C2×#67—31no—
680C2×#67—32no—
681C2×#67—32no—
682C2×#67—32no—
683C2×#67—31no—
684C2×#67—32no—
685C2×#67—32no—
686C2×#67—62no—
687C2×#67—62no—
688C2×#67—68no—
689C2×#67—68no—
690C2×#67—124no—
691C2×#67C22×D312yes—
692C2×#67C22×D312yes—
693C2×#67C22×D312yes—
694C2×#67C22×D312yes—
695C2×#67C22×D312yes—
696C22×Dic3—32no—
697C22×Dic3—31no—
698C22×Dic3—31no—
699C22×Dic3—32no—
700C22×Dic3—32no—
701C22×Dic3C22×D312yes—
702#239—24no—
703#239—38no—
704#239—68no—
705#239—68no—
706#239—64no—
707#239—64no—
708#239—64no—
709#239—64no—
710#239—124no—
711D3×Q8—24no—
712#237—24no—
713#237—68no—
714#237—68no—
715#237—64no—
716#237—64no—
717D3×D4—24no—
718D3×D4—64no—
719D3×D4—64no—
720D3×D4—68no—
721D3×D4—68no—
722D3×D4—68no—
723D3×D4—64no—
724D3×D4—64no—
725D3×D4—68no—
726D3×D4—124no—
727D3×D4—124no—
728D3×D4—124no—
729D3×D4—124no—
730D3×D4—124no—
731D3×D4—124no—
732#235—38no—
733#235—68no—
734#235—64no—
735#235—68no—
736#235—64no—
737C2×D12—32no—
738C2×D12—31no—
739C2×D12—31no—
740C2×D12—31no—
741C2×D12—32no—
742C2×D12—32no—
743C2×D12—32no—
744C2×D12—32no—
745C2×D12—31no—
746C2×D12—31no—
747C2×D12—32no—
748C2×D12—32no—
749C2×D12—31no—
750C2×D12—32no—
751C2×D12—32no—
752C2×D12—31no—
753C2×D12—31no—
754C2×D12—61no—
755C2×D12—61no—
756C2×D12—62no—
757C2×D12—68no—
758C2×D12—64no—
759C2×D12—64no—
760C2×D12—68no—
761C2×D12C22×D311yescharacteristic
762C2×D12C22×D311yescharacteristic
763C2×D12C22×D311yescharacteristic
764C2×D12C22×D312yes—
765C2×D12C22×D312yes—
766C2×D12C22×D312yes—
767C2×C4×D3—32no—
768C2×C4×D3—32no—
769C2×C4×D3—32no—
770C2×C4×D3—32no—
771C2×C4×D3—31no—
772C2×C4×D3—31no—
773C2×C4×D3—31no—
774C2×C4×D3—31no—
775C2×C4×D3—31no—
776C2×C4×D3—31no—
777C2×C4×D3—32no—
778C2×C4×D3—32no—
779C2×C4×D3—31no—
780C2×C4×D3—31no—
781C2×C4×D3—32no—
782C2×C4×D3—32no—
783C2×C4×D3—32no—
784C2×C4×D3—32no—
785C2×C4×D3—32no—
786C2×C4×D3—61no—
787C2×C4×D3—61no—
788C2×C4×D3—62no—
789C2×C4×D3—62no—
790C2×C4×D3—68no—
791C2×C4×D3—68no—
792C2×C4×D3—64no—
793C2×C4×D3—64no—
794C2×C4×D3C22×D311yescharacteristic
795C2×C4×D3C22×D311yescharacteristic
796C2×C4×D3C22×D312yes—
797C2×C4×D3C22×D312yes—
798C2×C4×D3C22×D311yescharacteristic
799C2×Dic6—31no—
800C2×Dic6—31no—
801C2×Dic6C22×D312yes—
802C2×Dic6C22×D311yescharacteristic
803C3×C4⋊C4—31no—
804C3×C4⋊C4—32no—
805C3×C4⋊C4—31no—
806C3×C4⋊C4—31no—
807C3×C4⋊C4—32no—
808C3×C4⋊C4—31no—
809C3×C22⋊C4—22no—
810C3×C22⋊C4—22no—
811C3×C22⋊C4—32no—
812C3×C22⋊C4—32no—
813C3×C22⋊C4—31no—
814C3×C22⋊C4—32no—
815C3×C22⋊C4—31no—
816C3×C22⋊C4—31no—
817C3×C22⋊C4—32no—
818C3×C22⋊C4—31no—
819C3×C22⋊C4C22×D312yes—
820C3×C22⋊C4C22×D312yes—
821C3×C22⋊C4C22×D312yes—
822C3×C22⋊C4C22×D312yes—
823C3×C42—21no—
824C3×C42—31no—
825C3×C42—32no—
826C3×C42C22×D311yescharacteristic
827C3×C42C22×D311yescharacteristic
828#217—32no—
829#217—32no—
830#217—32no—
831#217—31no—
832#217—31no—
833#217—32no—
834#217—32no—
835#217—32no—
836#217—62no—
837#217C22×D312yes—
838(C2×D3)⋊C4—31no—
839(C2×D3)⋊C4—32no—
840(C2×D3)⋊C4—31no—
841(C2×D3)⋊C4—32no—
842(C2×D3)⋊C4—32no—
843(C2×D3)⋊C4—32no—
844(C2×D3)⋊C4—32no—
845(C2×D3)⋊C4—31no—
846(C2×D3)⋊C4—31no—
847(C2×D3)⋊C4—32no—
848(C2×D3)⋊C4—31no—
849(C2×D3)⋊C4—31no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—32no—
852(C2×D3)⋊C4—32no—
853(C2×D3)⋊C4—32no—
854(C2×D3)⋊C4—31no—
855(C2×D3)⋊C4—31no—
856(C2×D3)⋊C4—31no—
857(C2×D3)⋊C4—31no—
858(C2×D3)⋊C4—61no—
859(C2×D3)⋊C4—62no—
860(C2×D3)⋊C4—61no—
861(C2×D3)⋊C4—62no—
862(C2×D3)⋊C4C22×D311yescharacteristic
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×D312yes—
869C4⋊Dic3—31no—
870C4⋊Dic3—31no—
871C4⋊Dic3—31no—
872C4⋊Dic3—31no—
873C4⋊Dic3—31no—
874C4⋊Dic3—31no—
875C4⋊Dic3—32no—
876C4⋊Dic3—32no—
877C4⋊Dic3—61no—
878C4⋊Dic3—61no—
879C4⋊Dic3C22×D311yescharacteristic
880C4⋊Dic3C22×D311yescharacteristic
881Dic3⋊C4—32no—
882Dic3⋊C4—32no—
883Dic3⋊C4—32no—
884Dic3⋊C4—32no—
885Dic3⋊C4—31no—
886Dic3⋊C4—31no—
887Dic3⋊C4—62no—
888Dic3⋊C4C22×D312yes—
889Dic3⋊C4C22×D311yescharacteristic
890Dic3⋊C4C22×D311yescharacteristic
891Dic3⋊C4C22×D312yes—
892C4×Dic3—32no—
893C4×Dic3—32no—
894C4×Dic3C22×D312yes—
895C4×Dic3C22×D311yescharacteristic
896C22×C32—22no—
897C22×C32—22no—
898C22×C32—22no—
899C22×C32C2511yescharacteristic
900C2×C3⋊D3—21no—
901C2×C3⋊D3—22no—
902C2×C3⋊D3—22no—
903C2×C3⋊D3—21no—
904C2×C3⋊D3—21no—
905C2×C3⋊D3—21no—
906C2×C3⋊D3—21no—
907C2×C3⋊D3—21no—
908C2×C3⋊D3—84no—
909C2×C3⋊D3C22×D414yes—
910C2×C3×D3—21no—
911C2×C3×D3—21no—
912C2×C3×D3—21no—
913C2×C3×D3—21no—
914C2×C3×D3—22no—
915C2×C3×D3—22no—
916C2×C3×D3—21no—
917C2×C3×D3—22no—
918C2×C3×D3—21no—
919C2×C3×D3—22no—
920C2×C3×D3—21no—
921C2×C3×D3—22no—
922C2×C3×D3—22no—
923C2×C3×D3—84no—
924C2×C3×D3C22×D412yes—
925C2×C3×D3H(5,𝔽2)12yescomplemented
926D32—44no—
927D32—48no—
928D32—84no—
929C32×C4—22no—
930C32×C4—21no—
931C32×C4—21no—
932C32×C4C22×D412yes—
933C3⋊Dic3—21no—
934C3⋊Dic3—21no—
935C3⋊Dic3—22no—
936C3×Dic3—21no—
937C3×Dic3—21no—
938C3×Dic3—22no—
939C3×Dic3—21no—
940C3×Dic3—21no—
941C3×Dic3C22×D414yes—
942C3×Dic3C22×D412yes—
943H(5,𝔽2)—188no—
944C2×#41—31no—
945C2×#41—31no—
946C2×#41—91no—
947C2×#41—92no—
948C2×#41—91no—
949C2×#41—92no—
950C2×#41—92no—
951C2×#41—91no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41—188no—
955C22×Q8—31no—
956C22×D4—31no—
957C22×D4—92no—
958C22×D4—91no—
959C22×D4—91no—
960C22×D4—92no—
961C22×D4—92no—
962C22×D4—92no—
963C22×D4—92no—
964C22×D4—92no—
965C22×D4—92no—
966C22×D4—91no—
967C23×C4—91no—
968C23×C4—92no—
969#127—31no—
970#127—31no—
971#127—92no—
972#127—92no—
973#124—31no—
974#124—32no—
975#124—92no—
976#124D3211yescharacteristic, complemented
977#123—91no—
978#123—92no—
979#123—91no—
980#123—92no—
981C22⋊Q8—31no—
982C22⋊Q8—32no—
983C22⋊Q8—91no—
984C22⋊Q8—92no—
985C22⋊Q8—91no—
986C22⋊Q8—92no—
987C22⋊Q8—91no—
988#121—31no—
989#121—32no—
990#121—32no—
991#121—32no—
992#121—91no—
993#121—92no—
994#121—92no—
995#121—92no—
996#121—92no—
997#121—92no—
998#121—92no—
999#121—91no—
1000#121—91no—
1001#121—92no—
1002#121—92no—
1003#121—92no—
1004#121—91no—
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—32no—
1014#120—32no—
1015#120—91no—
1016#120—92no—
1017#120—91no—
1018#120—92no—
1019#120—92no—
1020#120—92no—
1021#120—92no—
1022#120—92no—
1023C4×Q8—31no—
1024C4×Q8—91no—
1025C4×D4—32no—
1026C4×D4—31no—
1027C4×D4—92no—
1028C4×D4—91no—
1029C4×D4—91no—
1030C4×D4—91no—
1031C4×D4—92no—
1032C4×D4—92no—
1033C4×D4—92no—
1034C4×D4—92no—
1035C4×D4—91no—
1036C4×D4—91no—
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—22no—
1045C23×C3—31no—
1046C23×C3—31no—
1047C23×C3—32no—
1048C23×C3—32no—
1049C23×C3—31no—
1050C23×C3—64no—
1051C23×C3—122no—
1052C23×C3—122no—
1053C23×C3C23×D312yes—
1054C23×C3C23×D312yes—
1055C22×D3—24no—
1056C22×D3—32no—
1057C22×D3—32no—
1058C22×D3—31no—
1059C22×D3—31no—
1060C22×D3—31no—
1061C22×D3—31no—
1062C22×D3—42no—
1063C22×D3—42no—
1064C22×D3—61no—
1065C22×D3—62no—
1066C22×D3—61no—
1067C22×D3—64no—
1068C22×D3—64no—
1069C22×D3—64no—
1070C22×D3—64no—
1071C22×D3—62no—
1072C22×D3—62no—
1073C22×D3—64no—
1074C22×D3—64no—
1075C22×D3—64no—
1076C22×D3—62no—
1077C22×D3—64no—
1078C22×D3—62no—
1079C22×D3—124no—
1080C22×D3—121no—
1081C22×D3—122no—
1082C22×D3—121no—
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×D312yes—
1096C22×D3C23×D311yescharacteristic
1097C22×D3C23×D311yescharacteristic
1098C22×D3C23×D311yescharacteristic
1099C3×Q8—22no—
1100C3×Q8—22no—
1101C3×Q8—34no—
1102C3×Q8—42no—
1103C3×Q8—64no—
1104C3×D4—22no—
1105C3×D4—22no—
1106C3×D4—42no—
1107C3×D4—64no—
1108C3×D4—62no—
1109C3×D4—64no—
1110C3×D4—64no—
1111C3×D4—64no—
1112C3×D4—62no—
1113C3×D4—62no—
1114C3×D4—122no—
1115C3×D4—122no—
1116C3×D4—122no—
1117C3×D4—122no—
1118C2×C3×C4—21no—
1119C2×C3×C4—22no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—32no—
1123C2×C3×C4—31no—
1124C2×C3×C4—34no—
1125C2×C3×C4—31no—
1126C2×C3×C4—31no—
1127C2×C3×C4—32no—
1128C2×C3×C4—31no—
1129C2×C3×C4—31no—
1130C2×C3×C4—64no—
1131C2×C3×C4—64no—
1132C2×C3×C4—64no—
1133C2×C3×C4—62no—
1134C2×C3×C4—62no—
1135C2×C3×C4C23×D311yescharacteristic
1136C2×C3×C4C23×D312yes—
1137C2×C3×C4C23×D312yes—
1138C2×C3×C4C23×D311yescharacteristic
1139C2×C3×C4C23×D311yescharacteristic
1140C2×C3×C4C23×D311yescharacteristic
1141C2×C3×C4C23×D311yescharacteristic
1142C2×C3×C4C23×D311yescharacteristic
1143#67—24no—
1144#67—24no—
1145#67—24no—
1146#67—38no—
1147#67—42no—
1148#67—42no—
1149#67—64no—
1150#67—64no—
1151#67—62no—
1152#67—62no—
1153#67—62no—
1154#67—64no—
1155#67—64no—
1156#67—64no—
1157#67—62no—
1158#67—64no—
1159#67—62no—
1160#67—64no—
1161#67—64no—
1162#67—124no—
1163#67—122no—
1164#67—121no—
1165#67—122no—
1166#67—122no—
1167#67—122no—
1168#67—122no—
1169#67—122no—
1170#67—242no—
1171C2×Dic3—24no—
1172C2×Dic3—32no—
1173C2×Dic3—32no—
1174C2×Dic3—31no—
1175C2×Dic3—31no—
1176C2×Dic3—31no—
1177C2×Dic3—31no—
1178C2×Dic3—61no—
1179C2×Dic3—62no—
1180C2×Dic3—61no—
1181C2×Dic3—62no—
1182C2×Dic3—62no—
1183C2×Dic3—64no—
1184C2×Dic3—64no—
1185C2×Dic3—122no—
1186C2×Dic3C23×D311yescharacteristic
1187C2×Dic3C23×D311yescharacteristic
1188C2×Dic3C23×D312yes—
1189C2×Dic3C23×D311yescharacteristic
1190C2×Dic3C23×D311yescharacteristic
1191C2×Dic3C23×D312yes—
1192C2×Dic3C23×D311yescharacteristic
1193D12—24no—
1194D12—22no—
1195D12—22no—
1196D12—22no—
1197D12—38no—
1198D12—34no—
1199D12—34no—
1200D12—42no—
1201D12—42no—
1202D12—64no—
1203D12—64no—
1204D12—64no—
1205D12—64no—
1206D12—64no—
1207D12—62no—
1208D12—64no—
1209D12—64no—
1210D12—62no—
1211D12—62no—
1212D12—124no—
1213D12—121no—
1214D12—121no—
1215D12—122no—
1216D12—121no—
1217D12—122no—
1218D12—122no—
1219C4×D3—22no—
1220C4×D3—22no—
1221C4×D3—24no—
1222C4×D3—24no—
1223C4×D3—38no—
1224C4×D3—38no—
1225C4×D3—62no—
1226C4×D3—64no—
1227C4×D3—64no—
1228C4×D3—62no—
1229C4×D3—64no—
1230C4×D3—64no—
1231C4×D3—62no—
1232C4×D3—62no—
1233C4×D3—62no—
1234C4×D3—62no—
1235C4×D3—62no—
1236C4×D3—62no—
1237C4×D3—122no—
1238C4×D3—122no—
1239C4×D3—124no—
1240C4×D3—122no—
1241C4×D3—122no—
1242C4×D3—122no—
1243C4×D3—122no—
1244C4×D3—122no—
1245C4×D3—242no—
1246C4×D3D3×D414yescomplemented
1247Dic6—24no—
1248Dic6—62no—
1249Dic6—62no—
1250Dic6D3×D414yescomplemented
1251C2×C32—42no—
1252C2×C32C23×D411yescharacteristic
1253C2×C32C2×H(5,𝔽2)11yescharacteristic
1254C2×C32#58511yescharacteristic
1255C3⋊D3—24no—
1256C3⋊D3—41no—
1257C3⋊D3—41no—
1258C3×D3—22no—
1259C3×D3—22no—
1260C3×D3—42no—
1261C3×D3—41no—
1262C3×D3—42no—
1263C24—32no—
1264C24—91no—
1265C24—92no—
1266C24—92no—
1267C24—92no—
1268#41—64no—
1269#41—64no—
1270#41—98no—
1271#41—184no—
1272#41—188no—
1273#41—188no—
1274#41—188no—
1275#41—184no—
1276#41—184no—
1277#41—184no—
1278C2×Q8—31no—
1279C2×Q8—32no—
1280C2×Q8—64no—
1281C2×Q8—91no—
1282C2×Q8C2×D3211yescharacteristic
1283C2×D4—32no—
1284C2×D4—32no—
1285C2×D4—32no—
1286C2×D4—32no—
1287C2×D4—32no—
1288C2×D4—31no—
1289C2×D4—32no—
1290C2×D4—31no—
1291C2×D4—31no—
1292C2×D4—32no—
1293C2×D4—32no—
1294C2×D4—64no—
1295C2×D4—92no—
1296C2×D4—91no—
1297C2×D4—92no—
1298C2×D4—91no—
1299C2×D4—92no—
1300C2×D4—91no—
1301C2×D4—92no—
1302C2×D4—92no—
1303C2×D4—91no—
1304C2×D4—92no—
1305C2×D4—92no—
1306C2×D4—92no—
1307C2×D4—91no—
1308C2×D4—92no—
1309C2×D4—92no—
1310C2×D4—92no—
1311C2×D4—91no—
1312C2×D4—92no—
1313C2×D4—91no—
1314C2×D4—188no—
1315C2×D4—184no—
1316C2×D4—184no—
1317C2×D4—188no—
1318C2×D4—188no—
1319C2×D4—184no—
1320C2×D4—188no—
1321C2×D4—364no—
1322C2×D4—364no—
1323C2×D4—364no—
1324C2×D4C2×D3211yescharacteristic
1325C22×C4—31no—
1326C22×C4—32no—
1327C22×C4—32no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—32no—
1331C22×C4—92no—
1332C22×C4—91no—
1333C22×C4—92no—
1334C22×C4—91no—
1335C22×C4—92no—
1336C22×C4—92no—
1337C22×C4—91no—
1338C22×C4—92no—
1339C22×C4—92no—
1340C22×C4—91no—
1341C22×C4—91no—
1342C22×C4—92no—
1343C22×C4—184no—
1344C22×C4—188no—
1345C4⋊C4—31no—
1346C4⋊C4—32no—
1347C4⋊C4—31no—
1348C4⋊C4—31no—
1349C4⋊C4—32no—
1350C4⋊C4—31no—
1351C4⋊C4—92no—
1352C4⋊C4—92no—
1353C4⋊C4—91no—
1354C4⋊C4—91no—
1355C4⋊C4—91no—
1356C4⋊C4—91no—
1357C4⋊C4—92no—
1358C22⋊C4—32no—
1359C22⋊C4—32no—
1360C22⋊C4—32no—
1361C22⋊C4—31no—
1362C22⋊C4—31no—
1363C22⋊C4—31no—
1364C22⋊C4—31no—
1365C22⋊C4—32no—
1366C22⋊C4—92no—
1367C22⋊C4—91no—
1368C22⋊C4—91no—
1369C22⋊C4—91no—
1370C22⋊C4—92no—
1371C22⋊C4—92no—
1372C22⋊C4—91no—
1373C22⋊C4—92no—
1374C22⋊C4—92no—
1375C22⋊C4—92no—
1376C22⋊C4—91no—
1377C22⋊C4—92no—
1378C22⋊C4—92no—
1379C22⋊C4—91no—
1380C22⋊C4C2×D3212yes—
1381C22⋊C4C2×D3212yes—
1382C42—31no—
1383C42—32no—
1384C42—92no—
1385C42C2×D3211yescharacteristic
1386C22×C3—22no—
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—22no—
1390C22×C3—22no—
1391C22×C3—22no—
1392C22×C3—21no—
1393C22×C3—32no—
1394C22×C3—32no—
1395C22×C3—42no—
1396C22×C3—42no—
1397C22×C3—42no—
1398C22×C3—61no—
1399C22×C3—61no—
1400C22×C3—61no—
1401C22×C3—61no—
1402C22×C3—62no—
1403C22×C3—62no—
1404C22×C3—61no—
1405C22×C3—62no—
1406C22×C3—62no—
1407C22×C3—61no—
1408C22×C3—61no—
1409C22×C3—62no—
1410C22×C3—62no—
1411C22×C3—244no—
1412C22×C3C24×D311yescharacteristic
1413C22×C3C24×D311yescharacteristic
1414C2×D3—21no—
1415C2×D3—21no—
1416C2×D3—21no—
1417C2×D3—21no—
1418C2×D3—22no—
1419C2×D3—21no—
1420C2×D3—22no—
1421C2×D3—21no—
1422C2×D3—22no—
1423C2×D3—22no—
1424C2×D3—22no—
1425C2×D3—22no—
1426C2×D3—21no—
1427C2×D3—34no—
1428C2×D3—34no—
1429C2×D3—64no—
1430C2×D3—62no—
1431C2×D3—62no—
1432C2×D3—62no—
1433C2×D3—62no—
1434C2×D3—62no—
1435C2×D3—61no—
1436C2×D3—61no—
1437C2×D3—61no—
1438C2×D3—61no—
1439C2×D3—61no—
1440C2×D3—61no—
1441C2×D3—61no—
1442C2×D3—61no—
1443C2×D3—61no—
1444C2×D3—61no—
1445C2×D3—61no—
1446C2×D3—61no—
1447C2×D3—84no—
1448C2×D3—121no—
1449C2×D3—122no—
1450C2×D3—122no—
1451C2×D3—121no—
1452C2×D3—121no—
1453C2×D3—121no—
1454C2×D3—121no—
1455C2×D3—128no—
1456C2×D3—124no—
1457C2×D3—124no—
1458C2×D3—128no—
1459C2×D3—244no—
1460C2×D3—244no—
1461C2×D3—244no—
1462C2×D3—244no—
1463C2×D3—248no—
1464C2×D3C2×D3×D412yes—
1465C2×D3#100912yescomplemented
1466C3×C4—22no—
1467C3×C4—22no—
1468C3×C4—21no—
1469C3×C4—21no—
1470C3×C4—21no—
1471C3×C4—21no—
1472C3×C4—22no—
1473C3×C4—32no—
1474C3×C4—34no—
1475C3×C4—42no—
1476C3×C4—41no—
1477C3×C4—41no—
1478C3×C4—61no—
1479C3×C4—61no—
1480C3×C4—61no—
1481C3×C4—62no—
1482C3×C4—61no—
1483C3×C4C2×D3×D412yes—
1484C3×C4C2×D3×D412yes—
1485Dic3—21no—
1486Dic3—21no—
1487Dic3—22no—
1488Dic3—21no—
1489Dic3—21no—
1490Dic3—61no—
1491Dic3—61no—
1492Dic3—61no—
1493Dic3—61no—
1494Dic3—62no—
1495Dic3—62no—
1496Dic3—121no—
1497Dic3—121no—
1498Dic3—122no—
1499Dic3C2×D3×D414yes—
1500Dic3C2×D3×D412yes—
1501C32#348811yescharacteristic, complemented, Sylow
1502C23—31no—
1503C23—31no—
1504C23—31no—
1505C23—32no—
1506C23—32no—
1507C23—64no—
1508C23—92no—
1509C23—91no—
1510C23—91no—
1511C23—122no—
1512C23—122no—
1513C23—184no—
1514C23—182no—
1515C23—182no—
1516C23—184no—
1517C23—184no—
1518C23—184no—
1519C23—362no—
1520C23—362no—
1521C23—361no—
1522C23—362no—
1523C23—362no—
1524C23—362no—
1525C23C22×D3212yes—
1526Q8—22no—
1527Q8—34no—
1528Q8—64no—
1529Q8—182no—
1530D4—22no—
1531D4—64no—
1532D4—62no—
1533D4—64no—
1534D4—64no—
1535D4—64no—
1536D4—62no—
1537D4—62no—
1538D4—98no—
1539D4—94no—
1540D4—122no—
1541D4—122no—
1542D4—122no—
1543D4—122no—
1544D4—184no—
1545D4—182no—
1546D4—184no—
1547D4—184no—
1548D4—182no—
1549D4—182no—
1550D4—184no—
1551D4—184no—
1552D4—184no—
1553D4—182no—
1554D4—184no—
1555D4—361no—
1556D4—362no—
1557D4—362no—
1558D4—361no—
1559D4—362no—
1560D4—362no—
1561C2×C4—32no—
1562C2×C4—31no—
1563C2×C4—34no—
1564C2×C4—31no—
1565C2×C4—31no—
1566C2×C4—32no—
1567C2×C4—31no—
1568C2×C4—31no—
1569C2×C4—64no—
1570C2×C4—64no—
1571C2×C4—64no—
1572C2×C4—62no—
1573C2×C4—62no—
1574C2×C4—98no—
1575C2×C4—92no—
1576C2×C4—91no—
1577C2×C4—91no—
1578C2×C4—184no—
1579C2×C4—182no—
1580C2×C4—182no—
1581C2×C4—184no—
1582C2×C4—184no—
1583C2×C4—182no—
1584C2×C4—182no—
1585C2×C4—182no—
1586C2×C4—362no—
1587C2×C4—362no—
1588C2×C4—362no—
1589C2×C4C22×D3211yescharacteristic
1590C2×C4C22×D3211yescharacteristic
1591C2×C4C22×D3212yes—
1592C2×C4C22×D3211yescharacteristic
1593C2×C3—21no—
1594C2×C3—21no—
1595C2×C3—21no—
1596C2×C3—42no—
1597C2×C3—42no—
1598C2×C3—62no—
1599C2×C3—62no—
1600C2×C3—82no—
1601C2×C3—121no—
1602C2×C3—122no—
1603C2×C3—122no—
1604C2×C3C22×D3×D411yescharacteristic
1605C2×C3C22×D3×D411yescharacteristic
1606C2×C3C2×#100911yescharacteristic
1607C2×C3D3×H(5,𝔽2)11yescharacteristic
1608C2×C3#596611yescharacteristic
1609C2×C3#596811yescharacteristic
1610D3—22no—
1611D3—22no—
1612D3—42no—
1613D3—42no—
1614D3—41no—
1615D3—64no—
1616D3—64no—
1617D3—124no—
1618D3—122no—
1619D3—121no—
1620D3—121no—
1621D3—121no—
1622D3—121no—
1623D3—241no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—32no—
1628C22—32no—
1629C22—61no—
1630C22—61no—
1631C22—61no—
1632C22—61no—
1633C22—62no—
1634C22—61no—
1635C22—62no—
1636C22—61no—
1637C22—62no—
1638C22—62no—
1639C22—62no—
1640C22—62no—
1641C22—61no—
1642C22—94no—
1643C22—182no—
1644C22—182no—
1645C22—181no—
1646C22—181no—
1647C22—181no—
1648C22—181no—
1649C22—181no—
1650C22—181no—
1651C22—244no—
1652C22—364no—
1653C22—368no—
1654C22—724no—
1655C22—724no—
1656C22C23×D3211yescharacteristic
1657C4—22no—
1658C4—21no—
1659C4—21no—
1660C4—32no—
1661C4—34no—
1662C4—61no—
1663C4—61no—
1664C4—62no—
1665C4—61no—
1666C4—61no—
1667C4—181no—
1668C4—181no—
1669C4—182no—
1670C4D32×D412yes—
1671C3—21no—
1672C3#8633111yescharacteristic, complemented
1673C3#8671311yescharacteristic, complemented
1674C2—42no—
1675C2—62no—
1676C2—62no—
1677C2—122no—
1678C2—122no—
1679C2—121no—
1680C2—184no—
1681C2—361no—
1682C2—361no—
1683C2C2×D32×D411yescharacteristic
1684C2D3×#100911yescharacteristic
1685C2#1059669811yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×#124C22
hypercenter#124D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #124

Complements

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

NH ≅ G/Ntype
1. C2×D3×#239C2semidirect
2. C2×#64314C2semidirect
3. #10596147C2semidirect
4. C3×#5677C2semidirect
5. C3×#5674C2semidirect
6. #10595431C2semidirect
7. #10595401C2semidirect
8. #10595398C2semidirect
9. #10595297C2semidirect
10. D3×#938C2semidirect
11. #10595158C2semidirect
12. #10594287C2semidirect
13. #10594286C2semidirect
14. #10594281C2semidirect
15. #10594277C2semidirect
16. #10594275C2semidirect
17. #10594265C2semidirect
18. #10594069C2semidirect
19. #10594063C2semidirect
20. #10594004C2semidirect
21. #10593997C2semidirect
22. #10593900C2semidirect
23. #10593890C2semidirect
26. C2×#3832C22semidirect
27. C2×D4×C3⋊D3C22semidirect
28. C2×C3×#239C22semidirect
29. C2×C3×D3×Q8C22semidirect
30. C2×C3×#237C22semidirect
31. C2×C3×D3×D4C22semidirect
32. C2×#3811C22semidirect
33. C2×#3811C22semidirect
34. C2×D3×#67C22semidirect
35. C2×D3×#67C22semidirect
36. C22×#626C22semidirect
37. C2×#3804C22semidirect
40. C2×#3802C22semidirect
41. C2×D3×D12C22semidirect
42. C2×D3×D12C22semidirect
43. C2×D3×D12C22semidirect
44. C2×C4×D32C22semidirect
45. C2×C4×D32C22semidirect
47. C2×#3799C22semidirect
48. C2×#3798C22semidirect
49. C2×#3796C22semidirect
50. C2×#3796C22semidirect
51. C2×#3796C22semidirect
52. C32×#124C22semidirect
53. #64155C22semidirect
54. #64147C22semidirect
55. #64093C22semidirect
56. #64092C22semidirect
57. #64091C22semidirect
58. C22⋊C4×C3⋊D3C22semidirect
59. C4×C4⋊(C3⋊D3)C22semidirect
60. C4×C4⋊(C3⋊D3)C22semidirect
61. C3×#947C22semidirect
62. C3×#946C22semidirect
63. C3×#940C22semidirect
64. C3×#938C22semidirect
65. C3×#885C22semidirect
66. C3×#884C22semidirect
67. C3×#884C22semidirect
68. C3×#884C22semidirect
69. C3×#882C22semidirect
70. C3×#882C22semidirect
71. C3×#67⋊C4C22semidirect
72. C3×#878C22semidirect
73. C3×#874C22semidirect
74. C3×C4×D12C22semidirect
75. C3×#872C22semidirect
76. C3×C4×Dic6C22semidirect
77. #63983C22semidirect
78. #63981C22semidirect
79. #63979C22semidirect
80. #63978C22semidirect
81. Dic3×#67C22semidirect
82. #63970C22semidirect
83. #63970C22semidirect
84. D3×#217C22semidirect
85. #63958C22semidirect
86. #63958C22semidirect
87. #63923C22semidirect
88. #63923C22semidirect
89. #63922C22semidirect
90. #63922C22semidirect
91. #63922C22semidirect
92. #63921C22semidirect
93. #63916C22semidirect
94. #63916C22semidirect
95. #63916C22semidirect
96. #63911C22semidirect
97. #63910C22semidirect
98. #63910C22semidirect
99. #63908C22semidirect
100. #63908C22semidirect
101. #63907C22semidirect
102. #63906C22semidirect
103. #63906C22semidirect
104. C4×#626C22semidirect
105. C4×#626C22semidirect
106. #63895C22semidirect
107. #63894C22semidirect
108. #63893C22semidirect
109. Dic3×D12C22semidirect
110. #63891C22semidirect
111. #63890C22semidirect
112. D3×C4⋊Dic3C22semidirect
113. #63887C22semidirect
114. #63886C22semidirect
115. #63886C22semidirect
116. #63886C22semidirect
117. #63886C22semidirect
118. #63885C22semidirect
119. #63883C22semidirect
120. #63881C22semidirect
121. #63880C22semidirect
122. #63879C22semidirect
123. #63853C22semidirect
124. #63851C22semidirect
125. Dic3×Dic6C22semidirect
126. #63836C22semidirect
142. #5677D3semidirect
149. #5674D3semidirect
251. #3799D4semidirect
316. C2×#239C2×D3semidirect
317. C2×D3×Q8C2×D3semidirect
323. C2×#237C2×D3semidirect
338. C2×D3×D4C2×D3semidirect
357. C3×#124C2×D3semidirect
358. C3×#124C2×D3semidirect
373. #947C2×D3semidirect
378. #946C2×D3semidirect
383. #940C2×D3semidirect
404. #938C2×D3semidirect
448. #885C2×D3semidirect
459. #884C2×D3semidirect
460. #884C2×D3semidirect
461. #884C2×D3semidirect
478. #882C2×D3semidirect
479. #882C2×D3semidirect
483. #67⋊C4C2×D3semidirect
492. #878C2×D3semidirect
494. #874C2×D3semidirect
506. C4×D12C2×D3semidirect
508. #872C2×D3semidirect
510. C4×Dic6C2×D3semidirect
548. C4⋊(C3⋊D3)C2×D4semidirect
576. C3×C4×D3C2×D4semidirect
578. C3×Dic6C2×D4semidirect
590. #626C2×D4semidirect
596. #624C2×D4semidirect
925. C2×C3×D3H(5,𝔽2)semidirect
976. #124D32semidirect
1246. C4×D3D3×D4semidirect
1250. Dic6D3×D4semidirect
1465. C2×D3#1009semidirect
1501. C32#3488semidirect
1672. C3#86331semidirect
1673. C3#86713semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#2392
C2×#643142
#105961472
C3×#56772
C3×#56742
#105954312
#105954012
#105953982
#105952972
D3×#9382
#105951582
#105942872
#105942862
#105942812
#105942772
#105942752
#105942652
#105940692
#105940632
#105940042
#105939972
#105939002
#105938902
#867133
#863313