Finite Group Databasebeta

← #11904700

Subgroups — #11904700

Order 1152.

3483 conjugacy classes of subgroups.

The subgroup lattice has 1688 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#10596145C211yesmaximal, characteristic, complemented
4C3×#5677C211yesmaximal, characteristic, complemented
5C3×#5676C211yesmaximal, characteristic, complemented
6#10595427C211yesmaximal, characteristic, complemented
7#10595404C211yesmaximal, characteristic, complemented
8#10595402C211yesmaximal, characteristic, complemented
9#10595288C211yesmaximal, characteristic, complemented
10#10595282C211yesmaximal, characteristic, complemented
11#10595236C211yesmaximal, characteristic, complemented
12#10594284C212yesmaximal, complemented
13#10594282C212yesmaximal, complemented
14#10594277C212yesmaximal, complemented
15#10594270C212yesmaximal, complemented
16#10594266C212yesmaximal, complemented
17D3×#884C212yesmaximal, complemented
18#10594187C212yesmaximal, complemented
19#10594059C212yesmaximal, complemented
20#10594006C211yesmaximal, characteristic, complemented
21D122C211yesmaximal, characteristic, complemented
22#10593902C211yesmaximal, characteristic, complemented
23#10593889C211yesmaximal, characteristic, complemented
24#86713—31nomaximal
25#86629—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×D3×D12C2211yescharacteristic, complemented
41C2×D3×D12C2211yescharacteristic, complemented
42C2×D3×D12C2212yescomplemented
43C2×D3×D12C2212yescomplemented
44C2×C4×D32C2211yescharacteristic, complemented
45C2×C4×D32C2212yescomplemented
46C2×#3799C2211yescharacteristic, complemented
47C2×#3799C2211yescharacteristic, complemented
48C2×#3799C2212yescomplemented
49C2×#3798C2211yescharacteristic, complemented
50C2×#3796C2211yescharacteristic
51C2×#3796C2212yescomplemented
52C32×#124C2211yescharacteristic, complemented
53#64156C2211yescharacteristic, complemented
54#64149C2211yescharacteristic, complemented
55#64093C2212yescomplemented
56#64093C2212yescomplemented
57#64091C2212yescomplemented
58#64091C2212yescomplemented
59#64083C2211yescharacteristic, complemented
60#64081C2211yescharacteristic, complemented
61C3×#946C2211yescharacteristic, complemented
62C3×#946C2211yescharacteristic, complemented
63C3×#938C2211yescharacteristic, complemented
64C3×#938C2211yescharacteristic, complemented
65C3×#885C2212yescomplemented
66C3×#884C2212yescomplemented
67C3×#884C2212yescomplemented
68C3×#883C2212yescomplemented
69C3×#882C2212yescomplemented
70C3×#67⋊C4C2212yescomplemented
71C3×D3×C22⋊C4C2212yescomplemented
72C3×#878C2212yescomplemented
73C3×C4×D12C2211yescharacteristic, complemented
74C3×C4×D12C2211yescharacteristic, complemented
75C3×C4×D12C2211yescharacteristic, complemented
76C3×C4×Dic6C2211yescharacteristic, complemented
77#63983C2212yescomplemented
78#63979C2212yescomplemented
79#63978C2212yescomplemented
80#63977C2212yescomplemented
81#63974C2212yescomplemented
82#63971C2212yescomplemented
83#63971C2212yescomplemented
84#63971C2212yescomplemented
85#63958C2212yescomplemented
86#63952C2212yescomplemented
87#63923C2212yescomplemented
88#63923C2212yescomplemented
89#63922C2212yescomplemented
90#63922C2211yescharacteristic, complemented
91#63922C2211yescharacteristic, complemented
92D3×(C2×D3)⋊C4C2212yescomplemented
93#63912C2212yescomplemented
94#63911C2212yescomplemented
95#63910C2212yescomplemented
96#63910C2212yescomplemented
97#63910C2212yescomplemented
98#63910C2212yescomplemented
99#63909C2212yescomplemented
100#63909C2211yescharacteristic, complemented
101#63909C2211yescharacteristic, complemented
102#63909C2211yescharacteristic, complemented
103#63909C2211yescharacteristic, complemented
104#63907C2212yescomplemented
105#63906C2212yescomplemented
106#63904C2212yescomplemented
107#63904C2212yescomplemented
108C4×#625C2211yescharacteristic, complemented
109C4×#625C2211yescharacteristic, complemented
110#63900C2211yescharacteristic, complemented
111#63899C2211yescharacteristic, complemented
112#63899C2211yescharacteristic, complemented
113#63898C2211yescharacteristic, complemented
114#63894C2212yescomplemented
115#63888C2212yescomplemented
116#63886C2212yescomplemented
117#63885C2211yescharacteristic, complemented
118#63885C2211yescharacteristic, complemented
119#63880C2212yescomplemented
120#63877C2212yescomplemented
121D3×Dic3⋊C4C2212yescomplemented
122#63865C2212yescomplemented
123#63854C2211yescharacteristic, complemented
124#63854C2211yescharacteristic, complemented
125#63850C2212yescomplemented
126#63843C2211yescharacteristic, complemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C22×#239—31no—
130C2×#1004—31no—
131C3×#548—31no—
132C3×#546—31no—
133#5834—31no—
134#5829—31no—
135#5817—31no—
136D4×#67—31no—
137#5677D311yescharacteristic, complemented
138#5676—32no—
139#5676D311yescharacteristic, complemented
140#5674—31no—
141#5674—31no—
142#5674—32no—
143#5674—61no—
144#5656—32no—
145#5654—32no—
146#5633—31no—
147#5630—31no—
148#5630—32no—
149#5629—31no—
150#5629—31no—
151#5629—32no—
152#5609—31no—
153#5609—32no—
154#5609—32no—
155D3×#121—31no—
156D3×#121—31no—
157D3×#121—32no—
158#5599—31no—
159#5597—32no—
160#5592—32no—
161#5590—32no—
162#5577—31no—
163#5574—31no—
164#5553—31no—
165D4×D12—32no—
166D4×D12—31no—
167D4×D12—31no—
168#5547—32no—
169#5547—31no—
170#5547—31no—
171#5546—31no—
172#5490—32no—
173C2×#884—32no—
174C23×C3⋊D3C2312yes—
175C23×C3×D3C2312yes—
176C22×D32C2312yes—
177C22×D32C2311yescharacteristic
178C22×D32C2312yes—
179C2×C32×Q8C2311yescharacteristic
180C2×C32×D4C2311yescharacteristic
181C2×#638C2312yes—
182C2×#638C2312yes—
183C2×#638C2312yes—
184#3832—24no—
185D4×C3⋊D3—24no—
186C2×C4⋊(C3⋊D3)C2311yescharacteristic
187C2×C4⋊(C3⋊D3)C2311yescharacteristic
188C2×C4⋊(C3⋊D3)C2312yes—
189C2×C4⋊(C3⋊D3)C2312yes—
190C2×C4⋊(C3⋊D3)C2312yes—
191C2×C4×C3⋊D3C2312yes—
192C2×C4×C3⋊D3C2311yescharacteristic
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×C4×D3C2312yes—
207C2×C3×C4×D3C2312yes—
208C2×C3×C4×D3C2311yescharacteristic
209C2×C3×C4×D3C2311yescharacteristic
210C2×C3×C4×D3C2311yescharacteristic
211C2×C3×C4×D3C2311yescharacteristic
212C2×C3×C4×D3C2312yes—
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×#626C2311yescharacteristic
224C2×#626C2311yescharacteristic
225C2×#626C2312yes—
226C2×#626C2312yes—
227C2×#626C2312yes—
228C2×#626C2312yes—
229C2×#626C2312yes—
230C2×#626C2312yes—
231C2×#626C2312yes—
232C2×#625C2311yescharacteristic
233C2×#625C2311yescharacteristic
234C2×#625C2311yescharacteristic
235C2×#624C2311yescharacteristic
236C2×#624C2312yes—
237C2×#624C2312yes—
238C2×#624C2312yes—
239#3804—28no—
240C2×D3×Dic3C2311yescharacteristic
241C2×D3×Dic3C2311yescharacteristic
242C2×D3×Dic3C2312yes—
243C2×D3×Dic3C2312yes—
244D3×D12—24no—
245D3×D12—24no—
246D3×D12—28no—
247D3×D12—44no—
248C4×D32—24no—
249C4×D32—28no—
250#3799—24no—
251#3799—24no—
252#3799—28no—
253#3798—24no—
254#3796—28no—
255#3796D418yescomplemented
256C32×C22⋊C4C2312yes—
257C32×C22⋊C4C2312yes—
258C32×C42C2311yescharacteristic
259#3752C2311yescharacteristic
260#3752C2311yescharacteristic
261#3752C2312yes—
262#3752C2312yes—
263#3750C2311yescharacteristic
264#3750C2311yescharacteristic
265C4×C3⋊Dic3C2311yescharacteristic
266C3×#217C2312yes—
267C3×#217C2312yes—
268C3×(C2×D3)⋊C4C2311yescharacteristic
269C3×(C2×D3)⋊C4C2312yes—
270C3×(C2×D3)⋊C4C2311yescharacteristic
271C3×(C2×D3)⋊C4C2312yes—
272C3×(C2×D3)⋊C4C2311yescharacteristic
273C3×(C2×D3)⋊C4C2312yes—
274C3×(C2×D3)⋊C4C2311yescharacteristic
275C3×C4⋊Dic3C2311yescharacteristic
276C3×C4⋊Dic3C2311yescharacteristic
277C3×C4⋊Dic3C2311yescharacteristic
278C3×C4⋊Dic3C2311yescharacteristic
279C3×Dic3⋊C4C2312yes—
280C3×Dic3⋊C4C2312yes—
281C3×Dic3⋊C4C2312yes—
282C3×C4×Dic3C2312yes—
283#3724C2311yescharacteristic
284#3724C2311yescharacteristic
285#3724C2312yes—
286Dic3⋊Dic3C2312yes—
287#3722C2312yes—
288#3722C2312yes—
289#3722C2312yes—
290#3722C2312yes—
291(C2×D3)⋊Dic3C2312yes—
292(C2×D3)⋊Dic3C2311yescharacteristic
293(C2×D3)⋊Dic3C2311yescharacteristic
294(C2×D3)⋊Dic3C2311yescharacteristic
295(C2×D3)⋊Dic3C2311yescharacteristic
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—31no—
310C2×#239—32no—
311C2×#239—32no—
312C2×#239—31no—
313C2×#239—31no—
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—32no—
322C2×#237C2×D311yescharacteristic, complemented
323C2×D3×D4—32no—
324C2×D3×D4—31no—
325C2×D3×D4—31no—
326C2×D3×D4—32no—
327C2×D3×D4—32no—
328C2×D3×D4—32no—
329C2×D3×D4—32no—
330C2×D3×D4—32no—
331C2×D3×D4—31no—
332C2×D3×D4—31no—
333C2×D3×D4—32no—
334C2×D3×D4—32no—
335C2×D3×D4—61no—
336C2×D3×D4C2×D311yescharacteristic, complemented
337C2×#235—32no—
338C2×#235—31no—
339C2×#235—31no—
340C2×#235—31no—
341C2×#235—32no—
342C2×#235—31no—
343C22×D12—32no—
344C22×D12—32no—
345C22×D12—31no—
346C22×D12—31no—
347C22×D12—32no—
348C22×C4×D3—32no—
349C22×C4×D3—32no—
350C22×C4×D3—31no—
351C22×C4×D3—31no—
352C3×#124—21no—
353C3×#124—32no—
354C3×#124C2×D311yescharacteristic, complemented
355C3×#124C2×D311yescharacteristic, complemented
356C3×#123—32no—
357C3×C22⋊Q8—31no—
358C3×C22⋊Q8—31no—
359C3×C22⋊Q8—32no—
360C3×#121—31no—
361C3×#121—31no—
362C3×#121—32no—
363C3×#121—32no—
364C3×#120—32no—
365C3×C4×Q8—31no—
366C3×C4×D4—32no—
367C3×C4×D4—31no—
368C3×C4×D4—31no—
369C3×C4×D4—31no—
370C2×C3×C22⋊C4—32no—
371#953—32no—
372#947—31no—
373#947—31no—
374#947—32no—
375#947—61no—
376#946—32no—
377#946C2×D311yescharacteristic, complemented
378#946C2×D311yescharacteristic, complemented
379Q8×Dic3—31no—
380#940—31no—
381#940—31no—
382#940—32no—
383#940—32no—
384#940—32no—
385#940—61no—
386#939—32no—
387#939—32no—
388#939—32no—
389#939—32no—
390#939—31no—
391#939—31no—
392#939—32no—
393#938—32no—
394#938C2×D311yescharacteristic, complemented
395#938C2×D311yescharacteristic, complemented
396#937—32no—
397#937—32no—
398#937—31no—
399#937—31no—
400#937—32no—
401D4×Dic3—31no—
402#930—32no—
403#930—32no—
404#930—32no—
405#930—31no—
406#930—31no—
407#930—31no—
408#930—31no—
409#929—32no—
410C4×#67—31no—
411C4×#67—31no—
412C4×#67—31no—
413C4×#67—31no—
414C4×#67—32no—
415C4×#67—32no—
416C4×#67—32no—
417C2×(C2×D3)⋊C4—32no—
418C2×Dic3⋊C4—32no—
419#896—32no—
420#896—31no—
421#896—31no—
422#896—32no—
423#896—32no—
424#895—32no—
425#895—31no—
426#895—31no—
427#895—32no—
428#895—31no—
429#895—31no—
430#895—32no—
431#895—32no—
432#895—32no—
433#895—32no—
434#894—32no—
435#894—31no—
436#894—31no—
437#893—31no—
438#893—32no—
439#893—32no—
440#893—32no—
441D3×C4⋊C4—32no—
442D3×C4⋊C4—31no—
443D3×C4⋊C4—31no—
444#887—31no—
445#885—32no—
446#885C2×D312yescomplemented
447#884—32no—
448#884—32no—
449#884—32no—
450#884—32no—
451#884—31no—
452#884—31no—
453#884—32no—
454#884—32no—
455#884—32no—
456#884—32no—
457#884—32no—
458#884—32no—
459#884—32no—
460#884—32no—
461#884—32no—
462#884—32no—
463#884—32no—
464#884—62no—
465#884—62no—
466#884C2×D312yescomplemented
467#884C2×D312yescomplemented
468#883—31no—
469#883—31no—
470#883C2×D312yescomplemented
471#882—32no—
472#882—32no—
473#882—31no—
474#882—31no—
475#882—32no—
476#882—32no—
477#882—32no—
478#882—32no—
479#882—32no—
480#882—32no—
481#882—32no—
482#882—32no—
483#882—62no—
484#882—62no—
485#882C2×D312yescomplemented
486#67⋊C4—32no—
487#67⋊C4—32no—
488#67⋊C4C2×D312yescomplemented
489D3×C22⋊C4—32no—
490D3×C22⋊C4—32no—
491D3×C22⋊C4—32no—
492D3×C22⋊C4C2×D312yescomplemented
493#878—31no—
494#878—31no—
495#878C2×D312yescomplemented
496#877—32no—
497#874—32no—
498#874—31no—
499#874—31no—
500#874—61no—
501C4×D12—32no—
502C4×D12—32no—
503C4×D12C2×D311yescharacteristic, complemented
504C4×D12C2×D311yescharacteristic, complemented
505C4×D12C2×D311yescharacteristic, complemented
506#872—31no—
507#872—31no—
508#872—32no—
509#872—61no—
510C4×Dic6C2×D311yescharacteristic, complemented
511C23×C32C2412yes—
512C22×C3⋊D3—24no—
513C22×C3⋊D3—42no—
514C22×C3⋊D3—42no—
515C22×C3⋊D3C2412yes—
516C22×C3⋊D3C2412yes—
517C22×C3⋊D3C2411yescharacteristic
518C22×C3×D3—24no—
519C22×C3×D3—42no—
520C22×C3×D3—42no—
521C22×C3×D3C2411yescharacteristic
522C22×C3×D3C2411yescharacteristic
523C22×C3×D3C2411yescharacteristic
524C22×C3×D3C2412yes—
525C22×C3×D3C2411yescharacteristic
526C2×D32—22no—
527C2×D32—24no—
528C2×D32—24no—
529C2×D32—22no—
530C2×D32—24no—
531C2×D32—42no—
532C2×D32—41no—
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—
543#638—42no—
544C2×C3⋊Dic3C2411yescharacteristic
545C2×C3⋊Dic3C2411yescharacteristic
546C2×C3⋊Dic3C2411yescharacteristic
547C4⋊(C3⋊D3)—24no—
548C4⋊(C3⋊D3)—22no—
549C4⋊(C3⋊D3)—22no—
550C4⋊(C3⋊D3)—42no—
551C4⋊(C3⋊D3)—42no—
552C4×C3⋊D3—24no—
553C4×C3⋊D3C2×D414yescomplemented
554C3×#67—24no—
555C3×#67—24no—
556C3×#67—24no—
557C3×#67—42no—
558C2×C3×Dic3—24no—
559C2×C3×Dic3C2412yes—
560C2×C3×Dic3C2412yes—
561C2×C3×Dic3C2411yescharacteristic
562C2×C3×Dic3C2411yescharacteristic
563C2×C3×Dic3C2411yescharacteristic
564C2×C3×Dic3C2411yescharacteristic
565C2×C3×Dic3C2412yes—
566C3×D12—24no—
567C3×D12—22no—
568C3×D12—41no—
569C3×D12C2×D414yescomplemented
570C3×C4×D3—24no—
571C3×C4×D3—22no—
572C3×C4×D3—22no—
573C3×C4×D3—22no—
574C3×C4×D3—22no—
575C3×C4×D3—24no—
576C3×C4×D3—42no—
577C3×Dic6—24no—
578C3×Dic6C2×D414yescomplemented
579#627—22no—
580#626—22no—
581#626—22no—
582#626—24no—
583#626—24no—
584#626—24no—
585#626—24no—
586#626—24no—
587#626—42no—
588#626—42no—
589#626—42no—
590#626C2×D418yescomplemented
591#625—22no—
592#625—22no—
593#625—41no—
594#624—22no—
595#624—24no—
596#624—24no—
597#624—42no—
598D3×Dic3—22no—
599D3×Dic3—22no—
600D3×Dic3—42no—
601D3×Dic3C2×D418yescomplemented
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—91no—
605#550—91no—
606#548—31no—
607#548—91no—
608#546—31no—
609#546—92no—
610#546—91no—
611#546—92no—
612D42—91no—
613D42—92no—
614D42—92no—
615D42—91no—
616#537—92no—
617#537—91no—
618#535—92no—
619#535—91no—
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—32no—
631C23×D3—31no—
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—31no—
650C2×C3×D4—31no—
651C2×C3×D4—32no—
652C2×C3×D4—31no—
653C2×C3×D4—64no—
654C2×C3×D4C22×D311yescharacteristic
655C2×C3×D4C22×D311yescharacteristic
656C22×C3×C4—32no—
657C22×C3×C4—32no—
658C22×C3×C4—32no—
659C22×C3×C4—31no—
660C22×C3×C4—31no—
661C22×C3×C4—31no—
662C22×C3×C4—31no—
663C22×C3×C4—32no—
664C2×#67—32no—
665C2×#67—32no—
666C2×#67—31no—
667C2×#67—31no—
668C2×#67—31no—
669C2×#67—31no—
670C2×#67—32no—
671C2×#67—32no—
672C2×#67—32no—
673C2×#67—32no—
674C2×#67—31no—
675C2×#67—31no—
676C2×#67—32no—
677C2×#67—32no—
678C2×#67—32no—
679C2×#67—32no—
680C2×#67—31no—
681C2×#67—31no—
682C2×#67—32no—
683C2×#67—32no—
684C2×#67—32no—
685C2×#67—32no—
686C2×#67—32no—
687C2×#67—62no—
688C2×#67—62no—
689C2×#67—62no—
690C2×#67—68no—
691C2×#67—68no—
692C2×#67—124no—
693C2×#67C22×D312yes—
694C2×#67C22×D312yes—
695C2×#67C22×D312yes—
696C2×#67C22×D312yes—
697C22×Dic3—32no—
698C22×Dic3—31no—
699C22×Dic3—31no—
700C22×Dic3—32no—
701C22×Dic3C22×D312yes—
702#239—24no—
703#239—38no—
704#239—68no—
705#239—64no—
706#239—64no—
707#239—68no—
708#239—64no—
709#239—64no—
710#239—124no—
711D3×Q8—24no—
712#237—24no—
713#237—38no—
714#237—68no—
715#237—68no—
716D3×D4—24no—
717D3×D4—68no—
718D3×D4—64no—
719D3×D4—64no—
720D3×D4—64no—
721D3×D4—64no—
722D3×D4—68no—
723D3×D4—68no—
724D3×D4—68no—
725D3×D4—124no—
726D3×D4—124no—
727D3×D4—124no—
728D3×D4—124no—
729D3×D4—124no—
730#235—68no—
731#235—64no—
732#235—64no—
733#235—68no—
734#235—64no—
735#235—64no—
736C2×D12—32no—
737C2×D12—32no—
738C2×D12—32no—
739C2×D12—32no—
740C2×D12—32no—
741C2×D12—31no—
742C2×D12—32no—
743C2×D12—31no—
744C2×D12—31no—
745C2×D12—31no—
746C2×D12—31no—
747C2×D12—31no—
748C2×D12—32no—
749C2×D12—32no—
750C2×D12—32no—
751C2×D12—32no—
752C2×D12—32no—
753C2×D12—32no—
754C2×D12—32no—
755C2×D12—32no—
756C2×D12—32no—
757C2×D12—61no—
758C2×D12—61no—
759C2×D12—62no—
760C2×D12—62no—
761C2×D12—62no—
762C2×D12—68no—
763C2×D12—68no—
764C2×D12—64no—
765C2×D12—64no—
766C2×D12—124no—
767C2×D12C22×D311yescharacteristic
768C2×D12C22×D312yes—
769C2×D12C22×D311yescharacteristic
770C2×D12C22×D311yescharacteristic
771C2×C4×D3—32no—
772C2×C4×D3—31no—
773C2×C4×D3—31no—
774C2×C4×D3—31no—
775C2×C4×D3—31no—
776C2×C4×D3—32no—
777C2×C4×D3—32no—
778C2×C4×D3—32no—
779C2×C4×D3—32no—
780C2×C4×D3—31no—
781C2×C4×D3—31no—
782C2×C4×D3—32no—
783C2×C4×D3—32no—
784C2×C4×D3—32no—
785C2×C4×D3—32no—
786C2×C4×D3—32no—
787C2×C4×D3—61no—
788C2×C4×D3—62no—
789C2×C4×D3—68no—
790C2×C4×D3—64no—
791C2×C4×D3—64no—
792C2×C4×D3—68no—
793C2×C4×D3C22×D311yescharacteristic
794C2×C4×D3C22×D311yescharacteristic
795C2×C4×D3C22×D311yescharacteristic
796C2×C4×D3C22×D311yescharacteristic
797C2×C4×D3C22×D312yes—
798C2×C4×D3C22×D312yes—
799C2×C4×D3C22×D312yes—
800C2×Dic6—31no—
801C2×Dic6—31no—
802C2×Dic6C22×D312yes—
803C2×Dic6C22×D311yescharacteristic
804C3×C4⋊C4—31no—
805C3×C4⋊C4—32no—
806C3×C4⋊C4—31no—
807C3×C4⋊C4—31no—
808C3×C4⋊C4—32no—
809C3×C4⋊C4—32no—
810C3×C4⋊C4—31no—
811C3×C22⋊C4—22no—
812C3×C22⋊C4—22no—
813C3×C22⋊C4—32no—
814C3×C22⋊C4—32no—
815C3×C22⋊C4—32no—
816C3×C22⋊C4—31no—
817C3×C22⋊C4—31no—
818C3×C22⋊C4—32no—
819C3×C22⋊C4—31no—
820C3×C22⋊C4—31no—
821C3×C22⋊C4—32no—
822C3×C22⋊C4C22×D312yes—
823C3×C22⋊C4C22×D312yes—
824C3×C22⋊C4C22×D312yes—
825C3×C22⋊C4C22×D312yes—
826C3×C42—21no—
827C3×C42—32no—
828C3×C42C22×D311yescharacteristic
829C3×C42C22×D311yescharacteristic
830#217—32no—
831#217—31no—
832#217—31no—
833#217—31no—
834#217—31no—
835#217C22×D312yes—
836#217C22×D312yes—
837(C2×D3)⋊C4—32no—
838(C2×D3)⋊C4—31no—
839(C2×D3)⋊C4—31no—
840(C2×D3)⋊C4—31no—
841(C2×D3)⋊C4—31no—
842(C2×D3)⋊C4—31no—
843(C2×D3)⋊C4—31no—
844(C2×D3)⋊C4—31no—
845(C2×D3)⋊C4—31no—
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—61no—
859(C2×D3)⋊C4—61no—
860(C2×D3)⋊C4—62no—
861(C2×D3)⋊C4—62no—
862(C2×D3)⋊C4C22×D312yes—
863(C2×D3)⋊C4C22×D311yescharacteristic
864(C2×D3)⋊C4C22×D311yescharacteristic
865(C2×D3)⋊C4C22×D311yescharacteristic
866(C2×D3)⋊C4C22×D311yescharacteristic
867(C2×D3)⋊C4C22×D312yes—
868(C2×D3)⋊C4C22×D312yes—
869C4⋊Dic3—32no—
870C4⋊Dic3C22×D311yescharacteristic
871C4⋊Dic3C22×D311yescharacteristic
872C4⋊Dic3C22×D311yescharacteristic
873C4⋊Dic3C22×D311yescharacteristic
874Dic3⋊C4—31no—
875Dic3⋊C4—31no—
876Dic3⋊C4—31no—
877Dic3⋊C4—31no—
878Dic3⋊C4—32no—
879Dic3⋊C4—32no—
880Dic3⋊C4—31no—
881Dic3⋊C4—31no—
882Dic3⋊C4—31no—
883Dic3⋊C4—32no—
884Dic3⋊C4—31no—
885Dic3⋊C4—61no—
886Dic3⋊C4—61no—
887Dic3⋊C4C22×D312yes—
888Dic3⋊C4C22×D312yes—
889Dic3⋊C4C22×D312yes—
890C4×Dic3—31no—
891C4×Dic3—31no—
892C4×Dic3—32no—
893C4×Dic3—32no—
894C4×Dic3—61no—
895C4×Dic3C22×D312yes—
896C22×C32—22no—
897C22×C32—22no—
898C22×C32—22no—
899C22×C32C2511yescharacteristic
900C2×C3⋊D3—21no—
901C2×C3⋊D3—21no—
902C2×C3⋊D3—22no—
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×D412yes—
910C2×C3×D3—21no—
911C2×C3×D3—22no—
912C2×C3×D3—21no—
913C2×C3×D3—22no—
914C2×C3×D3—21no—
915C2×C3×D3—21no—
916C2×C3×D3—21no—
917C2×C3×D3—21no—
918C2×C3×D3—21no—
919C2×C3×D3—21no—
920C2×C3×D3—21no—
921C2×C3×D3—21no—
922C2×C3×D3—21no—
923C2×C3×D3—84no—
924C2×C3×D3C22×D414yes—
925C2×C3×D3H(5,𝔽2)12yescomplemented
926D32—48no—
927D32—44no—
928D32—84no—
929C32×C4—22no—
930C32×C4—21no—
931C32×C4—21no—
932C32×C4C22×D412yes—
933C3⋊Dic3—21no—
934C3⋊Dic3—21no—
935C3⋊Dic3C22×D412yes—
936C3×Dic3—21no—
937C3×Dic3—21no—
938C3×Dic3—21no—
939C3×Dic3—21no—
940C3×Dic3—22no—
941C3×Dic3—22no—
942C3×Dic3C22×D414yes—
943H(5,𝔽2)—188no—
944C2×#41—31no—
945C2×#41—31no—
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—31no—
956C22×D4—31no—
957C22×D4—91no—
958C22×D4—92no—
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—92no—
968C23×C4—91no—
969#127—92no—
970#127—92no—
971#127—91no—
972#127—91no—
973#124—32no—
974#124—92no—
975#124—91no—
976#124D3211yescharacteristic, complemented
977#123—32no—
978#123—91no—
979#123—91no—
980#123—92no—
981C22⋊Q8—31no—
982C22⋊Q8—31no—
983C22⋊Q8—32no—
984C22⋊Q8—91no—
985C22⋊Q8—91no—
986C22⋊Q8—92no—
987C22⋊Q8—92no—
988#121—31no—
989#121—31no—
990#121—32no—
991#121—32no—
992#121—92no—
993#121—92no—
994#121—92no—
995#121—92no—
996#121—92no—
997#121—92no—
998#121—92no—
999#121—91no—
1000#121—92no—
1001#121—92no—
1002#121—91no—
1003#121—92no—
1004#121—91no—
1005#121—91no—
1006#121—92no—
1007#121—91no—
1008#121—91no—
1009#121—92no—
1010#121—92no—
1011#121—92no—
1012#121—92no—
1013#120—32no—
1014#120—92no—
1015#120—92no—
1016#120—91no—
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—31no—
1028C4×D4—31no—
1029C4×D4—92no—
1030C4×D4—92no—
1031C4×D4—92no—
1032C4×D4—92no—
1033C4×D4—92no—
1034C4×D4—91no—
1035C4×D4—91no—
1036C4×D4—91no—
1037#117—92no—
1038#117—91no—
1039C2×C4⋊C4—91no—
1040C2×C4⋊C4—92no—
1041C2×C22⋊C4—32no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C23×C3—22no—
1045C23×C3—32no—
1046C23×C3—31no—
1047C23×C3—31no—
1048C23×C3—31no—
1049C23×C3—31no—
1050C23×C3—64no—
1051C23×C3—122no—
1052C23×C3—122no—
1053C23×C3C23×D312yes—
1054C23×C3C23×D312yes—
1055C22×D3—24no—
1056C22×D3—31no—
1057C22×D3—31no—
1058C22×D3—32no—
1059C22×D3—32no—
1060C22×D3—32no—
1061C22×D3—32no—
1062C22×D3—42no—
1063C22×D3—42no—
1064C22×D3—61no—
1065C22×D3—62no—
1066C22×D3—62no—
1067C22×D3—62no—
1068C22×D3—62no—
1069C22×D3—64no—
1070C22×D3—64no—
1071C22×D3—62no—
1072C22×D3—64no—
1073C22×D3—64no—
1074C22×D3—64no—
1075C22×D3—64no—
1076C22×D3—64no—
1077C22×D3—62no—
1078C22×D3—64no—
1079C22×D3—124no—
1080C22×D3—122no—
1081C22×D3—121no—
1082C22×D3—122no—
1083C22×D3—121no—
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—242no—
1093C22×D3—242no—
1094C22×D3C23×D311yescharacteristic
1095C22×D3C23×D311yescharacteristic
1096C22×D3C23×D311yescharacteristic
1097C22×D3C23×D312yes—
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—34no—
1107C3×D4—42no—
1108C3×D4—64no—
1109C3×D4—62no—
1110C3×D4—64no—
1111C3×D4—64no—
1112C3×D4—64no—
1113C3×D4—121no—
1114C3×D4—122no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—22no—
1119C2×C3×C4—32no—
1120C2×C3×C4—32no—
1121C2×C3×C4—32no—
1122C2×C3×C4—31no—
1123C2×C3×C4—31no—
1124C2×C3×C4—31no—
1125C2×C3×C4—31no—
1126C2×C3×C4—64no—
1127C2×C3×C4—64no—
1128C2×C3×C4—64no—
1129C2×C3×C4—62no—
1130C2×C3×C4—62no—
1131C2×C3×C4—62no—
1132C2×C3×C4—62no—
1133C2×C3×C4—122no—
1134C2×C3×C4C23×D311yescharacteristic
1135C2×C3×C4C23×D311yescharacteristic
1136C2×C3×C4C23×D311yescharacteristic
1137C2×C3×C4C23×D311yescharacteristic
1138C2×C3×C4C23×D312yes—
1139C2×C3×C4C23×D312yes—
1140C2×C3×C4C23×D311yescharacteristic
1141C2×C3×C4C23×D311yescharacteristic
1142#67—24no—
1143#67—24no—
1144#67—24no—
1145#67—38no—
1146#67—42no—
1147#67—62no—
1148#67—62no—
1149#67—64no—
1150#67—64no—
1151#67—64no—
1152#67—62no—
1153#67—62no—
1154#67—64no—
1155#67—64no—
1156#67—62no—
1157#67—62no—
1158#67—64no—
1159#67—64no—
1160#67—124no—
1161#67—122no—
1162#67—122no—
1163#67—122no—
1164#67—121no—
1165#67—121no—
1166#67—122no—
1167#67—122no—
1168#67—122no—
1169#67—122no—
1170#67—242no—
1171#67—242no—
1172C2×Dic3—24no—
1173C2×Dic3—31no—
1174C2×Dic3—31no—
1175C2×Dic3—38no—
1176C2×Dic3—31no—
1177C2×Dic3—31no—
1178C2×Dic3—31no—
1179C2×Dic3—31no—
1180C2×Dic3—61no—
1181C2×Dic3—61no—
1182C2×Dic3—61no—
1183C2×Dic3—62no—
1184C2×Dic3—62no—
1185C2×Dic3—122no—
1186C2×Dic3C23×D312yes—
1187C2×Dic3C23×D312yes—
1188C2×Dic3C23×D311yescharacteristic
1189C2×Dic3C23×D311yescharacteristic
1190C2×Dic3C23×D311yescharacteristic
1191C2×Dic3C23×D311yescharacteristic
1192C2×Dic3C23×D312yes—
1193D12—24no—
1194D12—22no—
1195D12—38no—
1196D12—41no—
1197D12—64no—
1198D12—64no—
1199D12—64no—
1200D12—64no—
1201D12—62no—
1202D12—62no—
1203D12—64no—
1204D12—64no—
1205D12—64no—
1206D12—62no—
1207D12—62no—
1208D12—62no—
1209D12—62no—
1210D12—122no—
1211D12—122no—
1212D12—124no—
1213D12—122no—
1214D12—122no—
1215D12—122no—
1216D12—122no—
1217D12—122no—
1218D12—122no—
1219D12—122no—
1220D12—242no—
1221D12—242no—
1222D12D3×D414yescomplemented
1223C4×D3—24no—
1224C4×D3—22no—
1225C4×D3—22no—
1226C4×D3—22no—
1227C4×D3—22no—
1228C4×D3—24no—
1229C4×D3—38no—
1230C4×D3—34no—
1231C4×D3—34no—
1232C4×D3—42no—
1233C4×D3—64no—
1234C4×D3—64no—
1235C4×D3—64no—
1236C4×D3—62no—
1237C4×D3—62no—
1238C4×D3—64no—
1239C4×D3—64no—
1240C4×D3—62no—
1241C4×D3—62no—
1242C4×D3—64no—
1243C4×D3—64no—
1244C4×D3—124no—
1245C4×D3—122no—
1246C4×D3—122no—
1247C4×D3—122no—
1248Dic6—24no—
1249Dic6—62no—
1250Dic6—62no—
1251Dic6D3×D414yescomplemented
1252C2×C32—42no—
1253C2×C32C23×D411yescharacteristic
1254C2×C32C2×H(5,𝔽2)11yescharacteristic
1255C2×C32#58511yescharacteristic
1256C3⋊D3—22no—
1257C3⋊D3—42no—
1258C3⋊D3—42no—
1259C3×D3—22no—
1260C3×D3—24no—
1261C3×D3—41no—
1262C3×D3—41no—
1263C3×D3—41no—
1264C24—32no—
1265C24—92no—
1266C24—91no—
1267C24—92no—
1268C24—92no—
1269#41—64no—
1270#41—64no—
1271#41—98no—
1272#41—184no—
1273#41—188no—
1274#41—188no—
1275#41—184no—
1276#41—184no—
1277#41—188no—
1278#41—184no—
1279C2×Q8—31no—
1280C2×Q8—32no—
1281C2×Q8—64no—
1282C2×Q8—91no—
1283C2×Q8C2×D3211yescharacteristic
1284C2×D4—32no—
1285C2×D4—32no—
1286C2×D4—32no—
1287C2×D4—32no—
1288C2×D4—31no—
1289C2×D4—31no—
1290C2×D4—32no—
1291C2×D4—31no—
1292C2×D4—64no—
1293C2×D4—92no—
1294C2×D4—92no—
1295C2×D4—92no—
1296C2×D4—92no—
1297C2×D4—91no—
1298C2×D4—91no—
1299C2×D4—92no—
1300C2×D4—92no—
1301C2×D4—92no—
1302C2×D4—92no—
1303C2×D4—92no—
1304C2×D4—91no—
1305C2×D4—91no—
1306C2×D4—92no—
1307C2×D4—91no—
1308C2×D4—92no—
1309C2×D4—92no—
1310C2×D4—92no—
1311C2×D4—91no—
1312C2×D4—91no—
1313C2×D4—92no—
1314C2×D4—92no—
1315C2×D4—184no—
1316C2×D4—184no—
1317C2×D4—188no—
1318C2×D4—188no—
1319C2×D4—184no—
1320C2×D4—188no—
1321C2×D4—188no—
1322C2×D4—364no—
1323C2×D4—364no—
1324C2×D4—364no—
1325C2×D4C2×D3211yescharacteristic
1326C22×C4—32no—
1327C22×C4—32no—
1328C22×C4—32no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—31no—
1332C22×C4—31no—
1333C22×C4—32no—
1334C22×C4—91no—
1335C22×C4—92no—
1336C22×C4—92no—
1337C22×C4—92no—
1338C22×C4—92no—
1339C22×C4—91no—
1340C22×C4—91no—
1341C22×C4—92no—
1342C22×C4—91no—
1343C22×C4—92no—
1344C22×C4—188no—
1345C22×C4—184no—
1346C4⋊C4—31no—
1347C4⋊C4—32no—
1348C4⋊C4—31no—
1349C4⋊C4—31no—
1350C4⋊C4—32no—
1351C4⋊C4—31no—
1352C4⋊C4—32no—
1353C4⋊C4—92no—
1354C4⋊C4—92no—
1355C4⋊C4—91no—
1356C4⋊C4—91no—
1357C4⋊C4—91no—
1358C4⋊C4—91no—
1359C22⋊C4—32no—
1360C22⋊C4—32no—
1361C22⋊C4—31no—
1362C22⋊C4—32no—
1363C22⋊C4—32no—
1364C22⋊C4—32no—
1365C22⋊C4—31no—
1366C22⋊C4—31no—
1367C22⋊C4—31no—
1368C22⋊C4—92no—
1369C22⋊C4—92no—
1370C22⋊C4—92no—
1371C22⋊C4—92no—
1372C22⋊C4—91no—
1373C22⋊C4—92no—
1374C22⋊C4—91no—
1375C22⋊C4—91no—
1376C22⋊C4—91no—
1377C22⋊C4—92no—
1378C22⋊C4—91no—
1379C22⋊C4—91no—
1380C22⋊C4—92no—
1381C22⋊C4C2×D3212yes—
1382C22⋊C4C2×D3212yes—
1383C42—32no—
1384C42—92no—
1385C42—91no—
1386C42C2×D3211yescharacteristic
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—22no—
1390C22×C3—22no—
1391C22×C3—22no—
1392C22×C3—22no—
1393C22×C3—21no—
1394C22×C3—34no—
1395C22×C3—32no—
1396C22×C3—42no—
1397C22×C3—42no—
1398C22×C3—42no—
1399C22×C3—61no—
1400C22×C3—62no—
1401C22×C3—61no—
1402C22×C3—62no—
1403C22×C3—61no—
1404C22×C3—61no—
1405C22×C3—61no—
1406C22×C3—61no—
1407C22×C3—61no—
1408C22×C3—61no—
1409C22×C3—61no—
1410C22×C3—61no—
1411C22×C3—61no—
1412C22×C3—244no—
1413C22×C3C24×D311yescharacteristic
1414C22×C3C24×D311yescharacteristic
1415C2×D3—21no—
1416C2×D3—22no—
1417C2×D3—22no—
1418C2×D3—21no—
1419C2×D3—21no—
1420C2×D3—21no—
1421C2×D3—21no—
1422C2×D3—21no—
1423C2×D3—21no—
1424C2×D3—21no—
1425C2×D3—21no—
1426C2×D3—21no—
1427C2×D3—21no—
1428C2×D3—32no—
1429C2×D3—32no—
1430C2×D3—62no—
1431C2×D3—61no—
1432C2×D3—61no—
1433C2×D3—61no—
1434C2×D3—61no—
1435C2×D3—62no—
1436C2×D3—62no—
1437C2×D3—62no—
1438C2×D3—62no—
1439C2×D3—62no—
1440C2×D3—62no—
1441C2×D3—62no—
1442C2×D3—62no—
1443C2×D3—62no—
1444C2×D3—62no—
1445C2×D3—62no—
1446C2×D3—62no—
1447C2×D3—84no—
1448C2×D3—121no—
1449C2×D3—121no—
1450C2×D3—122no—
1451C2×D3—122no—
1452C2×D3—122no—
1453C2×D3—122no—
1454C2×D3—122no—
1455C2×D3—122no—
1456C2×D3—124no—
1457C2×D3—128no—
1458C2×D3—128no—
1459C2×D3—124no—
1460C2×D3—244no—
1461C2×D3—244no—
1462C2×D3—244no—
1463C2×D3—244no—
1464C2×D3—248no—
1465C2×D3C2×D3×D414yes—
1466C2×D3#100912yescomplemented
1467C3×C4—22no—
1468C3×C4—22no—
1469C3×C4—21no—
1470C3×C4—21no—
1471C3×C4—21no—
1472C3×C4—21no—
1473C3×C4—22no—
1474C3×C4—34no—
1475C3×C4—42no—
1476C3×C4—41no—
1477C3×C4—41no—
1478C3×C4—61no—
1479C3×C4—61no—
1480C3×C4—61no—
1481C3×C4—61no—
1482C3×C4—62no—
1483C3×C4—62no—
1484C3×C4C2×D3×D412yes—
1485C3×C4C2×D3×D412yes—
1486Dic3—21no—
1487Dic3—21no—
1488Dic3—21no—
1489Dic3—21no—
1490Dic3—22no—
1491Dic3—22no—
1492Dic3—32no—
1493Dic3—32no—
1494Dic3—62no—
1495Dic3—61no—
1496Dic3—61no—
1497Dic3—61no—
1498Dic3—61no—
1499Dic3—121no—
1500Dic3—121no—
1501Dic3C2×D3×D414yes—
1502C32#348811yescharacteristic, complemented, Sylow
1503C23—31no—
1504C23—32no—
1505C23—31no—
1506C23—31no—
1507C23—31no—
1508C23—64no—
1509C23—91no—
1510C23—92no—
1511C23—92no—
1512C23—122no—
1513C23—122no—
1514C23—184no—
1515C23—184no—
1516C23—184no—
1517C23—182no—
1518C23—184no—
1519C23—182no—
1520C23—362no—
1521C23—362no—
1522C23—362no—
1523C23—361no—
1524C23—362no—
1525C23—362no—
1526C23C22×D3212yes—
1527Q8—22no—
1528Q8—34no—
1529Q8—64no—
1530Q8—182no—
1531D4—22no—
1532D4—34no—
1533D4—64no—
1534D4—62no—
1535D4—64no—
1536D4—64no—
1537D4—64no—
1538D4—98no—
1539D4—121no—
1540D4—122no—
1541D4—184no—
1542D4—184no—
1543D4—184no—
1544D4—184no—
1545D4—184no—
1546D4—184no—
1547D4—182no—
1548D4—182no—
1549D4—184no—
1550D4—182no—
1551D4—182no—
1552D4—182no—
1553D4—182no—
1554D4—362no—
1555D4—362no—
1556D4—362no—
1557D4—362no—
1558D4—362no—
1559D4—362no—
1560D4—362no—
1561D4—361no—
1562C2×C4—32no—
1563C2×C4—32no—
1564C2×C4—32no—
1565C2×C4—31no—
1566C2×C4—31no—
1567C2×C4—31no—
1568C2×C4—31no—
1569C2×C4—64no—
1570C2×C4—64no—
1571C2×C4—64no—
1572C2×C4—62no—
1573C2×C4—62no—
1574C2×C4—62no—
1575C2×C4—62no—
1576C2×C4—98no—
1577C2×C4—91no—
1578C2×C4—94no—
1579C2×C4—91no—
1580C2×C4—91no—
1581C2×C4—122no—
1582C2×C4—184no—
1583C2×C4—184no—
1584C2×C4—184no—
1585C2×C4—182no—
1586C2×C4—182no—
1587C2×C4—182no—
1588C2×C4—362no—
1589C2×C4—362no—
1590C2×C4C22×D3211yescharacteristic
1591C2×C4C22×D3211yescharacteristic
1592C2×C4C22×D3212yes—
1593C2×C4C22×D3211yescharacteristic
1594C2×C3—21no—
1595C2×C3—21no—
1596C2×C3—21no—
1597C2×C3—42no—
1598C2×C3—42no—
1599C2×C3—62no—
1600C2×C3—64no—
1601C2×C3—82no—
1602C2×C3—121no—
1603C2×C3—121no—
1604C2×C3—121no—
1605C2×C3C22×D3×D411yescharacteristic
1606C2×C3C22×D3×D411yescharacteristic
1607C2×C3C2×#100911yescharacteristic
1608C2×C3#596411yescharacteristic
1609C2×C3D3×H(5,𝔽2)11yescharacteristic
1610C2×C3#596811yescharacteristic
1611D3—24no—
1612D3—22no—
1613D3—41no—
1614D3—41no—
1615D3—41no—
1616D3—62no—
1617D3—62no—
1618D3—122no—
1619D3—122no—
1620D3—122no—
1621D3—122no—
1622D3—122no—
1623D3—242no—
1624D3—242no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—34no—
1629C22—32no—
1630C22—61no—
1631C22—62no—
1632C22—62no—
1633C22—61no—
1634C22—61no—
1635C22—61no—
1636C22—61no—
1637C22—61no—
1638C22—61no—
1639C22—61no—
1640C22—61no—
1641C22—61no—
1642C22—61no—
1643C22—92no—
1644C22—181no—
1645C22—181no—
1646C22—182no—
1647C22—182no—
1648C22—182no—
1649C22—182no—
1650C22—182no—
1651C22—182no—
1652C22—244no—
1653C22—368no—
1654C22—364no—
1655C22—724no—
1656C22—724no—
1657C22C23×D3211yescharacteristic
1658C4—22no—
1659C4—21no—
1660C4—21no—
1661C4—34no—
1662C4—61no—
1663C4—61no—
1664C4—61no—
1665C4—61no—
1666C4—62no—
1667C4—62no—
1668C4—92no—
1669C4—181no—
1670C4—181no—
1671C4D32×D412yes—
1672C3—21no—
1673C3#8662911yescharacteristic, complemented
1674C3#8671311yescharacteristic, complemented
1675C2—42no—
1676C2—64no—
1677C2—62no—
1678C2—121no—
1679C2—121no—
1680C2—121no—
1681C2—182no—
1682C2—362no—
1683C2—362no—
1684C2C2×D32×D411yescharacteristic
1685C2D3×#100911yescharacteristic
1686C2#1059669711yescharacteristic
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. #10596145C2semidirect
4. C3×#5677C2semidirect
5. C3×#5676C2semidirect
6. #10595427C2semidirect
7. #10595404C2semidirect
8. #10595402C2semidirect
9. #10595288C2semidirect
10. #10595282C2semidirect
11. #10595236C2semidirect
12. #10594284C2semidirect
13. #10594282C2semidirect
14. #10594277C2semidirect
15. #10594270C2semidirect
16. #10594266C2semidirect
17. D3×#884C2semidirect
18. #10594187C2semidirect
19. #10594059C2semidirect
20. #10594006C2semidirect
21. D122C2semidirect
22. #10593902C2semidirect
23. #10593889C2semidirect
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×D3×D12C22semidirect
41. C2×D3×D12C22semidirect
42. C2×D3×D12C22semidirect
43. C2×D3×D12C22semidirect
44. C2×C4×D32C22semidirect
45. C2×C4×D32C22semidirect
46. C2×#3799C22semidirect
47. C2×#3799C22semidirect
48. C2×#3799C22semidirect
49. C2×#3798C22semidirect
51. C2×#3796C22semidirect
52. C32×#124C22semidirect
53. #64156C22semidirect
54. #64149C22semidirect
55. #64093C22semidirect
56. #64093C22semidirect
57. #64091C22semidirect
58. #64091C22semidirect
59. #64083C22semidirect
60. #64081C22semidirect
61. C3×#946C22semidirect
62. C3×#946C22semidirect
63. C3×#938C22semidirect
64. C3×#938C22semidirect
65. C3×#885C22semidirect
66. C3×#884C22semidirect
67. C3×#884C22semidirect
68. C3×#883C22semidirect
69. C3×#882C22semidirect
70. C3×#67⋊C4C22semidirect
71. C3×D3×C22⋊C4C22semidirect
72. C3×#878C22semidirect
73. C3×C4×D12C22semidirect
74. C3×C4×D12C22semidirect
75. C3×C4×D12C22semidirect
76. C3×C4×Dic6C22semidirect
77. #63983C22semidirect
78. #63979C22semidirect
79. #63978C22semidirect
80. #63977C22semidirect
81. #63974C22semidirect
82. #63971C22semidirect
83. #63971C22semidirect
84. #63971C22semidirect
85. #63958C22semidirect
86. #63952C22semidirect
87. #63923C22semidirect
88. #63923C22semidirect
89. #63922C22semidirect
90. #63922C22semidirect
91. #63922C22semidirect
92. D3×(C2×D3)⋊C4C22semidirect
93. #63912C22semidirect
94. #63911C22semidirect
95. #63910C22semidirect
96. #63910C22semidirect
97. #63910C22semidirect
98. #63910C22semidirect
99. #63909C22semidirect
100. #63909C22semidirect
101. #63909C22semidirect
102. #63909C22semidirect
103. #63909C22semidirect
104. #63907C22semidirect
105. #63906C22semidirect
106. #63904C22semidirect
107. #63904C22semidirect
108. C4×#625C22semidirect
109. C4×#625C22semidirect
110. #63900C22semidirect
111. #63899C22semidirect
112. #63899C22semidirect
113. #63898C22semidirect
114. #63894C22semidirect
115. #63888C22semidirect
116. #63886C22semidirect
117. #63885C22semidirect
118. #63885C22semidirect
119. #63880C22semidirect
120. #63877C22semidirect
121. D3×Dic3⋊C4C22semidirect
122. #63865C22semidirect
123. #63854C22semidirect
124. #63854C22semidirect
125. #63850C22semidirect
126. #63843C22semidirect
137. #5677D3semidirect
139. #5676D3semidirect
255. #3796D4semidirect
316. C2×#239C2×D3semidirect
317. C2×D3×Q8C2×D3semidirect
322. C2×#237C2×D3semidirect
336. C2×D3×D4C2×D3semidirect
354. C3×#124C2×D3semidirect
355. C3×#124C2×D3semidirect
377. #946C2×D3semidirect
378. #946C2×D3semidirect
394. #938C2×D3semidirect
395. #938C2×D3semidirect
446. #885C2×D3semidirect
466. #884C2×D3semidirect
467. #884C2×D3semidirect
470. #883C2×D3semidirect
485. #882C2×D3semidirect
488. #67⋊C4C2×D3semidirect
492. D3×C22⋊C4C2×D3semidirect
495. #878C2×D3semidirect
503. C4×D12C2×D3semidirect
504. C4×D12C2×D3semidirect
505. C4×D12C2×D3semidirect
510. C4×Dic6C2×D3semidirect
553. C4×C3⋊D3C2×D4semidirect
569. C3×D12C2×D4semidirect
578. C3×Dic6C2×D4semidirect
590. #626C2×D4semidirect
601. D3×Dic3C2×D4semidirect
925. C2×C3×D3H(5,𝔽2)semidirect
976. #124D32semidirect
1222. D12D3×D4semidirect
1251. Dic6D3×D4semidirect
1466. C2×D3#1009semidirect
1502. C32#3488semidirect
1673. C3#86629semidirect
1674. 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
#105961452
C3×#56772
C3×#56762
#105954272
#105954042
#105954022
#105952882
#105952822
#105952362
#105942842
#105942822
#105942772
#105942702
#105942662
D3×#8842
#105941872
#105940592
#105940062
D1222
#105939022
#105938892
#867133
#866293