Finite Group Databasebeta

← #11904642

Subgroups — #11904642

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×C3×D3×#41C211yesmaximal, characteristic, complemented
2C2×#64314C211yesmaximal, characteristic, complemented
3#10596300C211yesmaximal, characteristic, complemented
4C3×#5829C211yesmaximal, characteristic, complemented
5#10595426C211yesmaximal, characteristic, complemented
6#10595402C211yesmaximal, characteristic, complemented
7#10595401C211yesmaximal, characteristic, complemented
8#10595398C211yesmaximal, characteristic, complemented
9#10595291C212yesmaximal, complemented
10#10595287C212yesmaximal, complemented
11#10595238C212yesmaximal, complemented
12D4×#626C211yesmaximal, characteristic, complemented
13D4×#625C211yesmaximal, characteristic, complemented
14#10595222C211yesmaximal, characteristic, complemented
15#10595156C212yesmaximal, complemented
16#10595068C212yesmaximal, complemented
17#10595065C212yesmaximal, complemented
18D3×#930C211yesmaximal, characteristic, complemented
19C2×#63906C212yesmaximal, complemented
20#10595007C211yesmaximal, characteristic, complemented
21#10595006C211yesmaximal, characteristic, complemented
22#10595002C211yesmaximal, characteristic, complemented
23#10594896C212yesmaximal, complemented
24#87275—31nomaximal
25#86629—31nomaximal
26C2×C32×#41C2211yescharacteristic, complemented
27C2×D4×C3⋊D3C2211yescharacteristic, complemented
28C3×D3×#41—28no—
29C2×C3×#239C2211yescharacteristic, complemented
30C2×C3×D3×Q8C2211yescharacteristic, complemented
31C2×C3×#237C2211yescharacteristic
32C2×C3×#237C2212yescomplemented
33C2×C3×D3×D4C2211yescharacteristic, complemented
34C2×C3×D3×D4C2211yescharacteristic, complemented
35C2×C3×D3×D4C2212yescomplemented
36C2×C3×#235C2211yescharacteristic, complemented
37C2×C3×#235C2212yescomplemented
38C22×C3×C4×D3C2212yescomplemented
39C22×C3×C4×D3C2211yescharacteristic, complemented
40C2×#3811C2212yescomplemented
41C2×D3×#67C2212yescomplemented
42C2×D3×#67C2212yescomplemented
43C22×#626C2212yescomplemented
44C22×#626C2212yescomplemented
45C22×#625C2212yescomplemented
46C2×#3804C2212yescomplemented
47#64314—28no—
48C2×D3×D12C2211yescharacteristic, complemented
49C2×#3799C2211yescharacteristic, complemented
50C2×#3798C2211yescharacteristic, complemented
51C2×#3796C2211yescharacteristic, complemented
52#64156C2211yescharacteristic, complemented
53#64155C2211yescharacteristic, complemented
54#64148C2212yescomplemented
55#64146C2212yescomplemented
56D4×C3⋊Dic3C2211yescharacteristic, complemented
57#64139C2211yescharacteristic, complemented
58#64138C2212yescomplemented
59C4×#638C2211yescharacteristic, complemented
60C2×#3752C2212yescomplemented
61C3×#947C2211yescharacteristic, complemented
62C3×#946C2211yescharacteristic, complemented
63C3×#939C2212yescomplemented
64C3×#937C2212yescomplemented
65C3×D4×Dic3C2211yescharacteristic, complemented
66C3×#930C2211yescharacteristic, complemented
67C3×#929C2212yescomplemented
68C3×C4×#67C2211yescharacteristic, complemented
69C2×C3×(C2×D3)⋊C4C2212yescomplemented
70#63981C2212yescomplemented
71#63980C2212yescomplemented
72#63979C2212yescomplemented
73#63979C2212yescomplemented
74#63978C2212yescomplemented
75#63978C2212yescomplemented
76#63978C2211yescharacteristic, complemented
77#63977C2212yescomplemented
78#63977C2211yescharacteristic, complemented
79#63976C2212yescomplemented
80#63976C2212yescomplemented
81#63976C2211yescharacteristic, complemented
82#67⋊Dic3C2212yescomplemented
83Dic3×#67C2212yescomplemented
84#63970C2212yescomplemented
85C2×Dic3⋊Dic3C2212yescomplemented
86#63964C2211yescharacteristic, complemented
87#63958C2212yescomplemented
88#63955C2212yescomplemented
89#63922C2212yescomplemented
90#63922C2212yescomplemented
91D3×(C2×D3)⋊C4C2212yescomplemented
92#63916C2211yescharacteristic, complemented
93#63914C2211yescharacteristic, complemented
94#63911C2211yescharacteristic, complemented
95#63909C2211yescharacteristic, complemented
96#63908C2211yescharacteristic, complemented
97#63908C2211yescharacteristic, complemented
98#63907C2212yescomplemented
99#63907C2212yescomplemented
100#63906C2212yescomplemented
101#63906C2212yescomplemented
102#63906C2212yescomplemented
103#63906C2212yescomplemented
104#63906C2212yescomplemented
105#63906C2212yescomplemented
106#63906C2211yescharacteristic, complemented
107#63906C2212yescomplemented
108#63906C2212yescomplemented
109#63905C2211yescharacteristic, complemented
110#63904C2212yescomplemented
111#63904C2212yescomplemented
112C4×#626C2211yescharacteristic, complemented
113C4×#625C2211yescharacteristic, complemented
114D3×C4⋊Dic3C2211yescharacteristic, complemented
115#63888C2212yescomplemented
116#63887C2212yescomplemented
117#63886C2212yescomplemented
118#63885C2212yescomplemented
119#63879C2212yescomplemented
120#63879C2212yescomplemented
121#63855C2211yescharacteristic, complemented
122#63851C2212yescomplemented
123#63851C2211yescharacteristic, complemented
124#63850C2211yescharacteristic, complemented
125#63843C2211yescharacteristic, complemented
126Dic3×Dic6C2211yescharacteristic, complemented
127C22×C3×#41—31no—
128C2×#1009—31no—
129C2×D3×#41D311yescharacteristic, complemented
130C2×#1004—31no—
131C3×#546—31no—
132#5834—31no—
133#5834—31no—
134#5833—31no—
135#5833—32no—
136#5830—31no—
137#5830—32no—
138#5829—31no—
139#5829—31no—
140#5829—32no—
141#5829—32no—
142#5829—61no—
143#5829D311yescharacteristic, complemented
144#5827—31no—
145#5817—31no—
146#5817—31no—
147D4×#67—31no—
148D4×#67—31no—
149D4×#67—32no—
150D4×#67—32no—
151D4×#67—31no—
152#5791—32no—
153#5791—31no—
154C2×#930—31no—
155C2×#930—32no—
156#5677—31no—
157#5674—31no—
158#5656—32no—
159#5654—32no—
160#5633—31no—
161#5629—31no—
162#5609—32no—
163D3×#121—31no—
164#5599—31no—
165#5597—32no—
166#5592—32no—
167#5590—32no—
168#5553—31no—
169D4×D12—31no—
170#5547—31no—
171#5546—31no—
172#5490—32no—
173C2×#884—32no—
174C23×C3⋊D3C2312yes—
175C23×C3×D3C2312yes—
176C23×C3×D3C2311yescharacteristic
177C23×C3×D3C2312yes—
178C22×D32C2312yes—
179C32×#41—24no—
180C2×C32×Q8C2311yescharacteristic
181C2×C32×D4C2312yes—
182C2×C32×D4C2311yescharacteristic
183C22×C32×C4C2312yes—
184C22×C32×C4C2311yescharacteristic
185C2×#638C2312yes—
186C2×#638C2312yes—
187C2×#638C2311yescharacteristic
188C22×C3⋊Dic3C2312yes—
189D4×C3⋊D3—24no—
190C2×C4⋊(C3⋊D3)C2311yescharacteristic
191C2×C4×C3⋊D3C2311yescharacteristic
192C2×C3×#67C2312yes—
193C2×C3×#67C2312yes—
194C2×C3×#67C2312yes—
195C2×C3×#67C2311yescharacteristic
196C2×C3×#67C2312yes—
197C2×C3×#67C2312yes—
198C22×C3×Dic3C2311yescharacteristic
199C22×C3×Dic3C2312yes—
200C22×C3×Dic3C2312yes—
201C3×#239—24no—
202C3×D3×Q8—24no—
203C3×#237—28no—
204C3×#237D418yescomplemented
205C3×D3×D4—24no—
206C3×D3×D4—24no—
207C3×D3×D4—28no—
208C3×#235—28no—
209C3×#235—24no—
210C2×C3×D12C2311yescharacteristic
211C2×C3×D12C2312yes—
212C2×C3×D12C2311yescharacteristic
213C2×C3×C4×D3—28no—
214C2×C3×C4×D3—24no—
215C2×C3×C4×D3C2311yescharacteristic
216C2×C3×C4×D3C2311yescharacteristic
217C2×C3×C4×D3C2311yescharacteristic
218C2×C3×C4×D3C2312yes—
219C2×C3×C4×D3C2312yes—
220C2×C3×C4×D3C2311yescharacteristic
221C2×C3×C4×D3C2312yes—
222C2×C3×C4×D3C2311yescharacteristic
223C2×C3×Dic6C2312yes—
224C2×C3×Dic6C2311yescharacteristic
225#3811—28no—
226D3×#67—28no—
227D3×#67—44no—
228C2×#627C2311yescharacteristic
229C2×#626—28no—
230C2×#626—44no—
231C2×#626C2312yes—
232C2×#626C2311yescharacteristic
233C2×#626C2311yescharacteristic
234C2×#626C2312yes—
235C2×#626C2312yes—
236C2×#626C2311yescharacteristic
237C2×#626C2312yes—
238C2×#626C2312yes—
239C2×#626C2312yes—
240C2×#626C2312yes—
241C2×#625—44no—
242C2×#625C2311yescharacteristic
243C2×#625C2311yescharacteristic
244C2×#625C2312yes—
245C2×#625C2312yes—
246C2×#625C2312yes—
247C2×#625C2312yes—
248C2×#624C2312yes—
249#3804—28no—
250C2×D3×Dic3C2312yes—
251C2×D3×Dic3C2312yes—
252D3×D12—24no—
253#3799—24no—
254#3798—24no—
255#3796—24no—
256#3757C2311yescharacteristic
257#3757C2312yes—
258#3752C2311yescharacteristic
259#3752C2312yes—
260#3752C2312yes—
261#3752C2312yes—
262#3752C2312yes—
263C4⋊(C3⋊Dic3)C2311yescharacteristic
264#3750C2311yescharacteristic
265#3750C2312yes—
266C4×C3⋊Dic3C2311yescharacteristic
267C3×#217C2311yescharacteristic
268C3×#217C2312yes—
269C3×(C2×D3)⋊C4C2311yescharacteristic
270C3×(C2×D3)⋊C4C2312yes—
271C3×(C2×D3)⋊C4C2312yes—
272C3×(C2×D3)⋊C4C2312yes—
273C3×(C2×D3)⋊C4C2312yes—
274C3×C4⋊Dic3C2311yescharacteristic
275C3×Dic3⋊C4C2311yescharacteristic
276C3×Dic3⋊C4C2312yes—
277C3×C4×Dic3C2311yescharacteristic
278#3724C2311yescharacteristic
279Dic3⋊Dic3C2312yes—
280Dic3⋊Dic3C2312yes—
281Dic3⋊Dic3C2311yescharacteristic
282Dic3⋊Dic3C2312yes—
283Dic3⋊Dic3C2311yescharacteristic
284Dic3⋊Dic3C2311yescharacteristic
285#3722C2311yescharacteristic
286#3722C2312yes—
287(C2×D3)⋊Dic3C2311yescharacteristic
288(C2×D3)⋊Dic3C2311yescharacteristic
289(C2×D3)⋊Dic3C2312yes—
290(C2×D3)⋊Dic3C2312yes—
291(C2×D3)⋊Dic3C2311yescharacteristic
292(C2×D3)⋊Dic3C2311yescharacteristic
293(C2×D3)⋊Dic3C2312yes—
294(C2×D3)⋊Dic3C2311yescharacteristic
295Dic32C2312yes—
296Dic32C2312yes—
297#3488—91noSylow
298C2×C3×#41—21no—
299C2×C3×#41—31no—
300C2×C3×#41—31no—
301C2×C3×#41—32no—
302C2×C3×#41—32no—
303C2×C3×#41—31no—
304C2×C3×#41—68no—
305C2×C3×#41C2×D311yescharacteristic, complemented
306C2×C3×#41C2×D311yescharacteristic, complemented
307C22×C3×Q8—31no—
308C22×C3×D4—31no—
309C22×C3×D4—32no—
310C22×C3×D4—31no—
311C23×C3×C4—32no—
312C23×C3×C4—31no—
313C22×#67—32no—
314C22×#67—32no—
315C22×#67—32no—
316C22×#67—32no—
317C22×#67—32no—
318C22×#67—32no—
319#1009—68no—
320D3×#41—28no—
321C2×#239—31no—
322C2×#239—31no—
323C2×#239C2×D311yescharacteristic, complemented
324C2×D3×Q8C2×D311yescharacteristic, complemented
325#1004—68no—
326C2×#237—32no—
327C2×#237—31no—
328C2×#237C2×D311yescharacteristic
329C2×#237C2×D312yescomplemented
330C2×D3×D4—32no—
331C2×D3×D4—31no—
332C2×D3×D4—31no—
333C2×D3×D4—32no—
334C2×D3×D4—32no—
335C2×D3×D4—32no—
336C2×D3×D4—31no—
337C2×D3×D4—61no—
338C2×D3×D4C2×D311yescharacteristic, complemented
339C2×D3×D4C2×D312yescomplemented
340C2×D3×D4C2×D311yescharacteristic, complemented
341C2×#235—32no—
342C2×#235—31no—
343C2×#235—31no—
344C2×#235—31no—
345C2×#235C2×D312yescomplemented
346C2×#235C2×D311yescharacteristic, complemented
347C22×D12—32no—
348C22×D12—32no—
349C22×D12—31no—
350C22×C4×D3C2×D312yescomplemented
351C22×C4×D3C2×D311yescharacteristic, complemented
352C3×#124—31no—
353C3×#123—32no—
354C3×C22⋊Q8—31no—
355C3×#121—32no—
356C3×#121—31no—
357C3×#120—32no—
358C3×C4×D4—31no—
359C3×C4×D4—31no—
360C2×C3×C22⋊C4—32no—
361#953—32no—
362#953—31no—
363#953—32no—
364#953—32no—
365#953—31no—
366#947—31no—
367#947—31no—
368#947—32no—
369#947—32no—
370#947—61no—
371#947C2×D311yescharacteristic, complemented
372#946—31no—
373#946—31no—
374#946—32no—
375#946—32no—
376#946—61no—
377#946C2×D311yescharacteristic, complemented
378Q8×Dic3—31no—
379Q8×Dic3—31no—
380#940—32no—
381#940—32no—
382#940—32no—
383#940—32no—
384#940—31no—
385#940—31no—
386#940—31no—
387#939—32no—
388#939—32no—
389#939—32no—
390#939—32no—
391#939—32no—
392#939—32no—
393#939—31no—
394#939—32no—
395#939—32no—
396#939—32no—
397#939—62no—
398#939C2×D312yescomplemented
399#938—32no—
400#938—31no—
401#938—31no—
402#938—32no—
403#938—31no—
404#937—32no—
405#937—32no—
406#937—31no—
407#937—32no—
408#937—32no—
409#937—32no—
410#937—32no—
411#937—32no—
412#937—62no—
413#937C2×D312yescomplemented
414D4×Dic3—31no—
415D4×Dic3—31no—
416D4×Dic3—32no—
417D4×Dic3—32no—
418D4×Dic3—61no—
419D4×Dic3C2×D311yescharacteristic, complemented
420#930—31no—
421#930—31no—
422#930—32no—
423#930—32no—
424#930—31no—
425#930—31no—
426#930—31no—
427#930—32no—
428#930—31no—
429#930—32no—
430#930—32no—
431#930—32no—
432#930—32no—
433#930—32no—
434#930—32no—
435#930—32no—
436#930—31no—
437#930—61no—
438#930C2×D311yescharacteristic, complemented
439#929—32no—
440#929—32no—
441#929—31no—
442#929—31no—
443#929—62no—
444#929C2×D312yescomplemented
445C4×#67—31no—
446C4×#67—31no—
447C4×#67—32no—
448C4×#67—31no—
449C4×#67—31no—
450C4×#67—32no—
451C4×#67—32no—
452C4×#67—32no—
453C4×#67—32no—
454C4×#67—31no—
455C4×#67—61no—
456C4×#67C2×D311yescharacteristic, complemented
457C2×(C2×D3)⋊C4—32no—
458C2×(C2×D3)⋊C4—32no—
459C2×(C2×D3)⋊C4—32no—
460C2×(C2×D3)⋊C4—62no—
461C2×(C2×D3)⋊C4C2×D312yescomplemented
462#926—32no—
463#926—31no—
464C2×C4⋊Dic3—32no—
465C2×C4⋊Dic3—31no—
466#924—31no—
467#924—31no—
468#924—32no—
469C2×Dic3⋊C4—32no—
470#896—31no—
471#896—32no—
472#896—32no—
473#895—32no—
474#895—31no—
475#895—31no—
476#894—31no—
477#893—32no—
478#893—32no—
479D3×C4⋊C4—31no—
480#887—31no—
481#885—32no—
482#885—32no—
483#884—32no—
484#884—32no—
485#884—32no—
486#884—32no—
487#884—32no—
488#884—32no—
489#884—32no—
490#884—32no—
491#884—31no—
492#884—32no—
493#884—32no—
494#883—31no—
495#882—32no—
496#882—31no—
497#882—32no—
498#882—32no—
499#882—32no—
500#67⋊C4—32no—
501#67⋊C4—32no—
502#67⋊C4—32no—
503D3×C22⋊C4—32no—
504#878—31no—
505#878—32no—
506#877—32no—
507#874—31no—
508C4×D12—31no—
509#872—31no—
510C4×Dic6—31no—
511C23×C32C2411yescharacteristic
512C23×C32C2412yes—
513C22×C3⋊D3—24no—
514C22×C3⋊D3—42no—
515C22×C3⋊D3—42no—
516C22×C3⋊D3C2412yes—
517C22×C3⋊D3C2411yescharacteristic
518C22×C3×D3—24no—
519C22×C3×D3—24no—
520C22×C3×D3—22no—
521C22×C3×D3—24no—
522C22×C3×D3—22no—
523C22×C3×D3—41no—
524C22×C3×D3—42no—
525C22×C3×D3—42no—
526C22×C3×D3—42no—
527C22×C3×D3C2412yes—
528C22×C3×D3C2411yescharacteristic
529C22×C3×D3C2412yes—
530C22×C3×D3C2411yescharacteristic
531C22×C3×D3C2411yescharacteristic
532C2×D32—24no—
533C2×D32—42no—
534C2×D32—42no—
535C32×Q8—22no—
536C32×D4—24no—
537C32×D4C2×D414yescomplemented
538C2×C32×C4—24no—
539C2×C32×C4—22no—
540C2×C32×C4C2412yes—
541C2×C32×C4C2411yescharacteristic
542C2×C32×C4C2411yescharacteristic
543#638—24no—
544#638—41no—
545#638—42no—
546C2×C3⋊Dic3—42no—
547C2×C3⋊Dic3C2411yescharacteristic
548C2×C3⋊Dic3C2412yes—
549C2×C3⋊Dic3C2411yescharacteristic
550C2×C3⋊Dic3C2411yescharacteristic
551C4⋊(C3⋊D3)—22no—
552C4×C3⋊D3—22no—
553C3×#67—24no—
554C3×#67—24no—
555C3×#67—24no—
556C3×#67—42no—
557C3×#67—41no—
558C3×#67C2×D418yescomplemented
559C2×C3×Dic3—22no—
560C2×C3×Dic3—42no—
561C2×C3×Dic3C2×D418yescomplemented
562C2×C3×Dic3C2411yescharacteristic
563C2×C3×Dic3C2412yes—
564C2×C3×Dic3C2411yescharacteristic
565C2×C3×Dic3C2411yescharacteristic
566C2×C3×Dic3C2411yescharacteristic
567C2×C3×Dic3C2412yes—
568C2×C3×Dic3C2411yescharacteristic
569C3×D12—24no—
570C3×D12—22no—
571C3×D12—22no—
572C3×C4×D3—22no—
573C3×C4×D3—22no—
574C3×C4×D3—22no—
575C3×C4×D3—22no—
576C3×C4×D3—24no—
577C3×C4×D3—24no—
578C3×C4×D3—24no—
579C3×C4×D3C2×D414yescomplemented
580C3×Dic6—24no—
581C3×Dic6C2×D414yescomplemented
582#627—22no—
583#626—22no—
584#626—22no—
585#626—24no—
586#626—24no—
587#626—22no—
588#626—24no—
589#626—24no—
590#626—42no—
591#626—42no—
592#626—42no—
593#625—22no—
594#625—22no—
595#625—24no—
596#625—42no—
597#625—42no—
598#625—42no—
599#624—24no—
600D3×Dic3—24no—
601D3×Dic3—42no—
602C2×H(5,𝔽2)—91no—
603C22×#41—31no—
604#550—91no—
605#550—91no—
606#548—91no—
607#548—91no—
608#546—31no—
609#546—92no—
610#546—92no—
611#546—91no—
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—31no—
626C24×C3—32no—
627C24×C3—32no—
628C23×D3—32no—
629C23×D3—32no—
630C23×D3—32no—
631C23×D3—32no—
632C23×D3—62no—
633C23×D3C22×D312yes—
634C23×D3C22×D311yescharacteristic
635C23×D3C22×D312yes—
636C3×#41—24no—
637C3×#41—24no—
638C3×#41—38no—
639C3×#41—44no—
640C3×#41—68no—
641C3×#41—64no—
642C3×#41—68no—
643C3×#41—64no—
644C2×C3×Q8—21no—
645C2×C3×Q8—31no—
646C2×C3×Q8—32no—
647C2×C3×Q8—64no—
648C2×C3×Q8C22×D311yescharacteristic
649C2×C3×Q8C22×D311yescharacteristic
650C2×C3×D4—21no—
651C2×C3×D4—22no—
652C2×C3×D4—32no—
653C2×C3×D4—32no—
654C2×C3×D4—32no—
655C2×C3×D4—32no—
656C2×C3×D4—31no—
657C2×C3×D4—32no—
658C2×C3×D4—32no—
659C2×C3×D4—31no—
660C2×C3×D4—31no—
661C2×C3×D4—68no—
662C2×C3×D4—64no—
663C2×C3×D4—64no—
664C2×C3×D4C22×D312yes—
665C2×C3×D4C22×D312yes—
666C2×C3×D4C22×D311yescharacteristic
667C2×C3×D4C22×D311yescharacteristic
668C22×C3×C4—22no—
669C22×C3×C4—21no—
670C22×C3×C4—32no—
671C22×C3×C4—31no—
672C22×C3×C4—31no—
673C22×C3×C4—32no—
674C22×C3×C4—31no—
675C22×C3×C4—32no—
676C22×C3×C4—31no—
677C22×C3×C4—32no—
678C22×C3×C4—31no—
679C22×C3×C4—32no—
680C22×C3×C4—31no—
681C22×C3×C4—68no—
682C22×C3×C4—64no—
683C22×C3×C4C22×D312yes—
684C22×C3×C4C22×D312yes—
685C22×C3×C4C22×D311yescharacteristic
686C22×C3×C4C22×D311yescharacteristic
687C2×#67—32no—
688C2×#67—32no—
689C2×#67—32no—
690C2×#67—31no—
691C2×#67—31no—
692C2×#67—32no—
693C2×#67—31no—
694C2×#67—31no—
695C2×#67—31no—
696C2×#67—32no—
697C2×#67—31no—
698C2×#67—32no—
699C2×#67—32no—
700C2×#67—32no—
701C2×#67—32no—
702C2×#67—32no—
703C2×#67—32no—
704C2×#67—32no—
705C2×#67—31no—
706C2×#67—32no—
707C2×#67—32no—
708C2×#67—32no—
709C2×#67—32no—
710C2×#67—31no—
711C2×#67—31no—
712C2×#67—32no—
713C2×#67—32no—
714C2×#67—32no—
715C2×#67—61no—
716C2×#67—62no—
717C2×#67—62no—
718C2×#67—68no—
719C2×#67—68no—
720C2×#67—124no—
721C2×#67—124no—
722C2×#67—124no—
723C2×#67—124no—
724C2×#67C22×D312yes—
725C2×#67C22×D312yes—
726C2×#67C22×D312yes—
727C2×#67C22×D311yescharacteristic
728C2×#67C22×D312yes—
729C2×#67C22×D312yes—
730C22×Dic3—32no—
731C22×Dic3—32no—
732C22×Dic3—32no—
733C22×Dic3—32no—
734C22×Dic3—62no—
735C22×Dic3C22×D311yescharacteristic
736C22×Dic3C22×D312yes—
737C22×Dic3C22×D312yes—
738#239—24no—
739#239—64no—
740#239—64no—
741D3×Q8—24no—
742#237—28no—
743#237—68no—
744#237—64no—
745#237#6718yescomplemented
746D3×D4—24no—
747D3×D4—24no—
748D3×D4—28no—
749D3×D4—68no—
750D3×D4—68no—
751D3×D4—64no—
752D3×D4—64no—
753D3×D4—68no—
754D3×D4—64no—
755D3×D4—124no—
756D3×D4—124no—
757#235—28no—
758#235—24no—
759#235—64no—
760#235—68no—
761#235—64no—
762#235—64no—
763C2×D12—31no—
764C2×D12—32no—
765C2×D12—31no—
766C2×D12—32no—
767C2×D12—31no—
768C2×D12—32no—
769C2×D12—32no—
770C2×D12—31no—
771C2×D12—31no—
772C2×D12—32no—
773C2×D12—32no—
774C2×D12—32no—
775C2×D12—61no—
776C2×D12—64no—
777C2×D12—68no—
778C2×D12—124no—
779C2×D12C22×D311yescharacteristic
780C2×D12C22×D312yes—
781C2×D12C22×D311yescharacteristic
782C2×C4×D3—28no—
783C2×C4×D3—24no—
784C2×C4×D3—32no—
785C2×C4×D3—31no—
786C2×C4×D3—31no—
787C2×C4×D3—32no—
788C2×C4×D3—32no—
789C2×C4×D3—32no—
790C2×C4×D3—61no—
791C2×C4×D3C22×D311yescharacteristic
792C2×C4×D3C22×D311yescharacteristic
793C2×C4×D3C22×D312yes—
794C2×C4×D3C22×D312yes—
795C2×C4×D3C22×D311yescharacteristic
796C2×C4×D3C22×D312yes—
797C2×C4×D3C22×D311yescharacteristic
798C2×C4×D3C22×D311yescharacteristic
799C2×Dic6—31no—
800C2×Dic6—31no—
801C2×Dic6C22×D312yes—
802C2×Dic6C22×D311yescharacteristic
803C3×C4⋊C4—31no—
804C3×C4⋊C4—31no—
805C3×C4⋊C4—32no—
806C3×C22⋊C4—32no—
807C3×C22⋊C4—31no—
808C3×C22⋊C4—32no—
809C3×C22⋊C4—32no—
810C3×C22⋊C4—32no—
811C3×C22⋊C4—31no—
812C3×C22⋊C4—32no—
813C3×C42—31no—
814#217—32no—
815#217—31no—
816#217—31no—
817#217—32no—
818#217—32no—
819#217—31no—
820#217—31no—
821#217—31no—
822#217—32no—
823#217—32no—
824#217—31no—
825#217—31no—
826#217—61no—
827#217—62no—
828#217C22×D311yescharacteristic
829#217C22×D312yes—
830(C2×D3)⋊C4—31no—
831(C2×D3)⋊C4—31no—
832(C2×D3)⋊C4—31no—
833(C2×D3)⋊C4—32no—
834(C2×D3)⋊C4—31no—
835(C2×D3)⋊C4—32no—
836(C2×D3)⋊C4—32no—
837(C2×D3)⋊C4—31no—
838(C2×D3)⋊C4—32no—
839(C2×D3)⋊C4—32no—
840(C2×D3)⋊C4—32no—
841(C2×D3)⋊C4—31no—
842(C2×D3)⋊C4—32no—
843(C2×D3)⋊C4—31no—
844(C2×D3)⋊C4—32no—
845(C2×D3)⋊C4—32no—
846(C2×D3)⋊C4—32no—
847(C2×D3)⋊C4—32no—
848(C2×D3)⋊C4—31no—
849(C2×D3)⋊C4—32no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—31no—
852(C2×D3)⋊C4—61no—
853(C2×D3)⋊C4—62no—
854(C2×D3)⋊C4—62no—
855(C2×D3)⋊C4—62no—
856(C2×D3)⋊C4—62no—
857(C2×D3)⋊C4C22×D312yes—
858(C2×D3)⋊C4C22×D311yescharacteristic
859(C2×D3)⋊C4C22×D312yes—
860(C2×D3)⋊C4C22×D312yes—
861(C2×D3)⋊C4C22×D312yes—
862C4⋊Dic3—31no—
863C4⋊Dic3—31no—
864C4⋊Dic3—31no—
865C4⋊Dic3—32no—
866C4⋊Dic3—31no—
867C4⋊Dic3—31no—
868C4⋊Dic3—32no—
869C4⋊Dic3—32no—
870C4⋊Dic3—61no—
871C4⋊Dic3C22×D311yescharacteristic
872Dic3⋊C4—32no—
873Dic3⋊C4—31no—
874Dic3⋊C4—31no—
875Dic3⋊C4—32no—
876Dic3⋊C4—32no—
877Dic3⋊C4—31no—
878Dic3⋊C4—31no—
879Dic3⋊C4—32no—
880Dic3⋊C4—31no—
881Dic3⋊C4—32no—
882Dic3⋊C4—31no—
883Dic3⋊C4—31no—
884Dic3⋊C4—61no—
885Dic3⋊C4—62no—
886Dic3⋊C4C22×D311yescharacteristic
887Dic3⋊C4C22×D312yes—
888C4×Dic3—31no—
889C4×Dic3—31no—
890C4×Dic3—32no—
891C4×Dic3—32no—
892C4×Dic3—32no—
893C4×Dic3—32no—
894C4×Dic3—61no—
895C4×Dic3C22×D311yescharacteristic
896C22×C32—22no—
897C22×C32—22no—
898C22×C32—21no—
899C22×C32—21no—
900C22×C32—21no—
901C22×C32C22×D414yes—
902C22×C32C2511yescharacteristic
903C2×C3⋊D3—21no—
904C2×C3⋊D3—22no—
905C2×C3⋊D3—21no—
906C2×C3⋊D3—21no—
907C2×C3⋊D3—22no—
908C2×C3⋊D3—22no—
909C2×C3⋊D3—84no—
910C2×C3×D3—21no—
911C2×C3×D3—21no—
912C2×C3×D3—21no—
913C2×C3×D3—21no—
914C2×C3×D3—22no—
915C2×C3×D3—21no—
916C2×C3×D3—22no—
917C2×C3×D3—21no—
918C2×C3×D3—22no—
919C2×C3×D3—22no—
920C2×C3×D3—22no—
921C2×C3×D3—22no—
922C2×C3×D3—21no—
923C2×C3×D3—44no—
924C2×C3×D3—48no—
925C2×C3×D3—84no—
926C2×C3×D3C22×D412yes—
927C2×C3×D3H(5,𝔽2)12yescomplemented
928D32—84no—
929C32×C4—22no—
930C32×C4—21no—
931C32×C4C22×D412yes—
932C3⋊Dic3—21no—
933C3⋊Dic3—22no—
934C3⋊Dic3—21no—
935C3⋊Dic3—21no—
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—32no—
947C2×#41—32no—
948C2×#41—31no—
949C2×#41—68no—
950C2×#41—91no—
951C2×#41—92no—
952C2×#41—91no—
953C2×#41—91no—
954C2×#41D3211yescharacteristic, complemented
955C22×Q8—31no—
956C22×D4—32no—
957C22×D4—31no—
958C22×D4—31no—
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—32no—
968C23×C4—31no—
969#127—91no—
970#127—92no—
971#127—92no—
972#127—91no—
973#124—31no—
974#124—92no—
975#124—92no—
976#124—91no—
977#123—32no—
978#123—91no—
979#123—91no—
980#123—92no—
981C22⋊Q8—31no—
982C22⋊Q8—91no—
983C22⋊Q8—92no—
984C22⋊Q8—91no—
985C22⋊Q8—92no—
986C22⋊Q8—92no—
987C22⋊Q8—91no—
988#121—32no—
989#121—31no—
990#121—91no—
991#121—92no—
992#121—92no—
993#121—92no—
994#121—92no—
995#121—92no—
996#121—92no—
997#121—92no—
998#121—92no—
999#121—92no—
1000#121—92no—
1001#121—91no—
1002#121—92no—
1003#121—91no—
1004#121—92no—
1005#121—91no—
1006#121—91no—
1007#121—92no—
1008#121—91no—
1009#121—92no—
1010#121—92no—
1011#121—92no—
1012#121—91no—
1013#120—32no—
1014#120—92no—
1015#120—92no—
1016#120—92no—
1017#120—92no—
1018#120—91no—
1019#120—91no—
1020#120—92no—
1021#120—92no—
1022#120—92no—
1023C4×Q8—91no—
1024C4×Q8—91no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—91no—
1028C4×D4—92no—
1029C4×D4—92no—
1030C4×D4—92no—
1031C4×D4—92no—
1032C4×D4—92no—
1033C4×D4—91no—
1034C4×D4—92no—
1035C4×D4—91no—
1036C4×D4—91no—
1037#117—91no—
1038#117—92no—
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—21no—
1046C23×C3—31no—
1047C23×C3—31no—
1048C23×C3—32no—
1049C23×C3—32no—
1050C23×C3—31no—
1051C23×C3—64no—
1052C23×C3—62no—
1053C23×C3—62no—
1054C23×C3—64no—
1055C23×C3—64no—
1056C23×C3—122no—
1057C23×C3—121no—
1058C23×C3—122no—
1059C23×C3—122no—
1060C23×C3C23×D311yescharacteristic
1061C23×C3C23×D311yescharacteristic
1062C23×C3C23×D312yes—
1063C23×C3C23×D312yes—
1064C22×D3—24no—
1065C22×D3—24no—
1066C22×D3—24no—
1067C22×D3—22no—
1068C22×D3—22no—
1069C22×D3—31no—
1070C22×D3—32no—
1071C22×D3—32no—
1072C22×D3—31no—
1073C22×D3—41no—
1074C22×D3—42no—
1075C22×D3—42no—
1076C22×D3—42no—
1077C22×D3—61no—
1078C22×D3—62no—
1079C22×D3—64no—
1080C22×D3—64no—
1081C22×D3—64no—
1082C22×D3—64no—
1083C22×D3—124no—
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—24no—
1105C3×D4—24no—
1106C3×D4—24no—
1107C3×D4—38no—
1108C3×D4—44no—
1109C3×D4—64no—
1110C3×D4—64no—
1111C3×D4—64no—
1112C3×D4—64no—
1113C3×D4—62no—
1114C3×D4—62no—
1115C3×D4—122no—
1116C3×D4—121no—
1117C3×D4D3×D414yescomplemented
1118C3×D4C2×#6714yescomplemented
1119C2×C3×C4—24no—
1120C2×C3×C4—24no—
1121C2×C3×C4—22no—
1122C2×C3×C4—22no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—22no—
1126C2×C3×C4—38no—
1127C2×C3×C4—32no—
1128C2×C3×C4—31no—
1129C2×C3×C4—34no—
1130C2×C3×C4—31no—
1131C2×C3×C4—32no—
1132C2×C3×C4—31no—
1133C2×C3×C4—31no—
1134C2×C3×C4—31no—
1135C2×C3×C4—42no—
1136C2×C3×C4—44no—
1137C2×C3×C4—62no—
1138C2×C3×C4—64no—
1139C2×C3×C4—64no—
1140C2×C3×C4—64no—
1141C2×C3×C4—62no—
1142C2×C3×C4—62no—
1143C2×C3×C4—62no—
1144C2×C3×C4—62no—
1145C2×C3×C4—122no—
1146C2×C3×C4C23×D311yescharacteristic
1147C2×C3×C4C23×D312yes—
1148C2×C3×C4C23×D312yes—
1149C2×C3×C4C23×D311yescharacteristic
1150C2×C3×C4C23×D311yescharacteristic
1151C2×C3×C4C23×D311yescharacteristic
1152#67—24no—
1153#67—24no—
1154#67—24no—
1155#67—42no—
1156#67—41no—
1157#67—62no—
1158#67—62no—
1159#67—64no—
1160#67—62no—
1161#67—64no—
1162#67—62no—
1163#67—64no—
1164#67—64no—
1165#67—64no—
1166#67—62no—
1167#67—62no—
1168#67—64no—
1169#67—62no—
1170#67—64no—
1171#67—64no—
1172#67—124no—
1173#67—122no—
1174#67—122no—
1175#67—122no—
1176#67—122no—
1177#67—122no—
1178#67—122no—
1179#67—122no—
1180#67—122no—
1181#67—122no—
1182#67—122no—
1183#67—121no—
1184#67—121no—
1185#67—122no—
1186#67—122no—
1187#67—242no—
1188#67C2×#6718yescomplemented
1189C2×Dic3—22no—
1190C2×Dic3—31no—
1191C2×Dic3—31no—
1192C2×Dic3—31no—
1193C2×Dic3—32no—
1194C2×Dic3—32no—
1195C2×Dic3—31no—
1196C2×Dic3—31no—
1197C2×Dic3—31no—
1198C2×Dic3—42no—
1199C2×Dic3—61no—
1200C2×Dic3—61no—
1201C2×Dic3—61no—
1202C2×Dic3—62no—
1203C2×Dic3—64no—
1204C2×Dic3—122no—
1205C2×Dic3—122no—
1206C2×Dic3—122no—
1207C2×Dic3—242no—
1208C2×Dic3C2×#6718yescomplemented
1209C2×Dic3C23×D311yescharacteristic
1210C2×Dic3C23×D312yes—
1211C2×Dic3C23×D311yescharacteristic
1212C2×Dic3C23×D311yescharacteristic
1213C2×Dic3C23×D311yescharacteristic
1214C2×Dic3C23×D312yes—
1215C2×Dic3C23×D311yescharacteristic
1216D12—24no—
1217D12—22no—
1218D12—22no—
1219D12—62no—
1220D12—64no—
1221D12—64no—
1222D12—64no—
1223D12—62no—
1224D12—64no—
1225D12—62no—
1226D12—62no—
1227D12—62no—
1228D12—122no—
1229D12—122no—
1230D12—122no—
1231D12—122no—
1232C4×D3—22no—
1233C4×D3—22no—
1234C4×D3—22no—
1235C4×D3—22no—
1236C4×D3—24no—
1237C4×D3—24no—
1238C4×D3—24no—
1239C4×D3—64no—
1240C4×D3—64no—
1241C4×D3—62no—
1242C4×D3—62no—
1243C4×D3—64no—
1244C4×D3—122no—
1245C4×D3—122no—
1246C4×D3C2×#6714yescomplemented
1247Dic6—24no—
1248Dic6—62no—
1249Dic6—62no—
1250Dic6C2×#6714yescomplemented
1251C2×C32—24no—
1252C2×C32—41no—
1253C2×C32C23×D411yescharacteristic
1254C2×C32C2×H(5,𝔽2)11yescharacteristic
1255C2×C32#58511yescharacteristic
1256C3⋊D3—41no—
1257C3⋊D3—42no—
1258C3×D3—22no—
1259C3×D3—22no—
1260C3×D3—42no—
1261C3×D3—42no—
1262C3×D3—41no—
1263C24—31no—
1264C24—32no—
1265C24—32no—
1266C24—92no—
1267C24—92no—
1268#41—24no—
1269#41—38no—
1270#41—68no—
1271#41—64no—
1272#41—68no—
1273#41—64no—
1274#41—184no—
1275#41—188no—
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—31no—
1288C2×D4—32no—
1289C2×D4—32no—
1290C2×D4—31no—
1291C2×D4—31no—
1292C2×D4—68no—
1293C2×D4—64no—
1294C2×D4—64no—
1295C2×D4—91no—
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—92no—
1305C2×D4—91no—
1306C2×D4—92no—
1307C2×D4—91no—
1308C2×D4—92no—
1309C2×D4—92no—
1310C2×D4—92no—
1311C2×D4—92no—
1312C2×D4—91no—
1313C2×D4—92no—
1314C2×D4—91no—
1315C2×D4—184no—
1316C2×D4—188no—
1317C2×D4—188no—
1318C2×D4—188no—
1319C2×D4—184no—
1320C2×D4—364no—
1321C2×D4—364no—
1322C2×D4—364no—
1323C2×D4C2×D3212yes—
1324C2×D4C2×D3211yescharacteristic
1325C22×C4—32no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—32no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—32no—
1332C22×C4—31no—
1333C22×C4—32no—
1334C22×C4—31no—
1335C22×C4—32no—
1336C22×C4—68no—
1337C22×C4—64no—
1338C22×C4—92no—
1339C22×C4—92no—
1340C22×C4—92no—
1341C22×C4—92no—
1342C22×C4—91no—
1343C22×C4C2×D3212yes—
1344C22×C4C2×D3211yescharacteristic
1345C4⋊C4—31no—
1346C4⋊C4—31no—
1347C4⋊C4—32no—
1348C4⋊C4—91no—
1349C4⋊C4—92no—
1350C4⋊C4—92no—
1351C4⋊C4—92no—
1352C4⋊C4—91no—
1353C4⋊C4—91no—
1354C4⋊C4—91no—
1355C4⋊C4—91no—
1356C4⋊C4—91no—
1357C4⋊C4—92no—
1358C22⋊C4—32no—
1359C22⋊C4—31no—
1360C22⋊C4—31no—
1361C22⋊C4—32no—
1362C22⋊C4—32no—
1363C22⋊C4—32no—
1364C22⋊C4—32no—
1365C22⋊C4—92no—
1366C22⋊C4—91no—
1367C22⋊C4—92no—
1368C22⋊C4—91no—
1369C22⋊C4—91no—
1370C22⋊C4—91no—
1371C22⋊C4—91no—
1372C22⋊C4—91no—
1373C22⋊C4—92no—
1374C22⋊C4—92no—
1375C22⋊C4—92no—
1376C22⋊C4—91no—
1377C22⋊C4—92no—
1378C22⋊C4—91no—
1379C22⋊C4—92no—
1380C22⋊C4—92no—
1381C22⋊C4—92no—
1382C42—31no—
1383C42—92no—
1384C42—92no—
1385C42—91no—
1386C22×C3—22no—
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—22no—
1390C22×C3—21no—
1391C22×C3—21no—
1392C22×C3—21no—
1393C22×C3—21no—
1394C22×C3—21no—
1395C22×C3—21no—
1396C22×C3—24no—
1397C22×C3—21no—
1398C22×C3—32no—
1399C22×C3—32no—
1400C22×C3—42no—
1401C22×C3—42no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—61no—
1406C22×C3—61no—
1407C22×C3—61no—
1408C22×C3—61no—
1409C22×C3—62no—
1410C22×C3—61no—
1411C22×C3—62no—
1412C22×C3—62no—
1413C22×C3—62no—
1414C22×C3—61no—
1415C22×C3—62no—
1416C22×C3—62no—
1417C22×C3—61no—
1418C22×C3—128no—
1419C22×C3—124no—
1420C22×C3—244no—
1421C22×C3C2×D3×D414yes—
1422C22×C3C22×#6714yes—
1423C22×C3C24×D311yescharacteristic
1424C22×C3C24×D311yescharacteristic
1425C2×D3—21no—
1426C2×D3—21no—
1427C2×D3—21no—
1428C2×D3—21no—
1429C2×D3—21no—
1430C2×D3—22no—
1431C2×D3—22no—
1432C2×D3—22no—
1433C2×D3—21no—
1434C2×D3—22no—
1435C2×D3—22no—
1436C2×D3—21no—
1437C2×D3—22no—
1438C2×D3—44no—
1439C2×D3—48no—
1440C2×D3—62no—
1441C2×D3—62no—
1442C2×D3—61no—
1443C2×D3—61no—
1444C2×D3—62no—
1445C2×D3—62no—
1446C2×D3—61no—
1447C2×D3—61no—
1448C2×D3—62no—
1449C2×D3—61no—
1450C2×D3—62no—
1451C2×D3—61no—
1452C2×D3—62no—
1453C2×D3—84no—
1454C2×D3—121no—
1455C2×D3—121no—
1456C2×D3—122no—
1457C2×D3—122no—
1458C2×D3—122no—
1459C2×D3—244no—
1460C2×D3—244no—
1461C2×D3—244no—
1462C2×D3—244no—
1463C2×D3—248no—
1464C2×D3#100912yescomplemented
1465C2×D3C22×#6712yes—
1466C3×C4—21no—
1467C3×C4—22no—
1468C3×C4—22no—
1469C3×C4—21no—
1470C3×C4—22no—
1471C3×C4—32no—
1472C3×C4—34no—
1473C3×C4—41no—
1474C3×C4—42no—
1475C3×C4—61no—
1476C3×C4—62no—
1477C3×C4—61no—
1478C3×C4—61no—
1479C3×C4—61no—
1480C3×C4C2×D3×D412yes—
1481C3×C4C22×#6712yes—
1482Dic3—21no—
1483Dic3—21no—
1484Dic3—21no—
1485Dic3—22no—
1486Dic3—21no—
1487Dic3—61no—
1488Dic3—62no—
1489Dic3—61no—
1490Dic3—61no—
1491Dic3—61no—
1492Dic3—62no—
1493Dic3—61no—
1494Dic3—61no—
1495Dic3—121no—
1496Dic3—121no—
1497Dic3—122no—
1498Dic3—121no—
1499Dic3C22×#6714yes—
1500Dic3C22×#6712yes—
1501C32#348811yescharacteristic, complemented, Sylow
1502C23—31no—
1503C23—31no—
1504C23—31no—
1505C23—32no—
1506C23—32no—
1507C23—62no—
1508C23—64no—
1509C23—62no—
1510C23—64no—
1511C23—64no—
1512C23—91no—
1513C23—92no—
1514C23—122no—
1515C23—121no—
1516C23—122no—
1517C23—122no—
1518C23—184no—
1519C23—184no—
1520C23—362no—
1521C23—362no—
1522C23—362no—
1523C23—362no—
1524C23C22×D3211yescharacteristic
1525C23C22×D3212yes—
1526Q8—22no—
1527Q8—34no—
1528Q8—64no—
1529Q8—182no—
1530D4—24no—
1531D4—38no—
1532D4—64no—
1533D4—64no—
1534D4—64no—
1535D4—64no—
1536D4—62no—
1537D4—62no—
1538D4—122no—
1539D4—121no—
1540D4—182no—
1541D4—184no—
1542D4—184no—
1543D4—184no—
1544D4—182no—
1545D4—182no—
1546D4—184no—
1547D4—182no—
1548D4—184no—
1549D4—182no—
1550D4—184no—
1551D4—182no—
1552D4—362no—
1553D4—362no—
1554D4—362no—
1555D4—362no—
1556D4—361no—
1557D4—362no—
1558D4—362no—
1559D4—362no—
1560D4D3×#6714yescomplemented
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—38no—
1564C2×C4—32no—
1565C2×C4—31no—
1566C2×C4—34no—
1567C2×C4—31no—
1568C2×C4—31no—
1569C2×C4—32no—
1570C2×C4—31no—
1571C2×C4—31no—
1572C2×C4—62no—
1573C2×C4—64no—
1574C2×C4—64no—
1575C2×C4—64no—
1576C2×C4—62no—
1577C2×C4—62no—
1578C2×C4—62no—
1579C2×C4—62no—
1580C2×C4—91no—
1581C2×C4—92no—
1582C2×C4—91no—
1583C2×C4—91no—
1584C2×C4—122no—
1585C2×C4—184no—
1586C2×C4—184no—
1587C2×C4—182no—
1588C2×C4—362no—
1589C2×C4—362no—
1590C2×C4C22×D3211yescharacteristic
1591C2×C4C22×D3212yes—
1592C2×C4C22×D3211yescharacteristic
1593C2×C3—24no—
1594C2×C3—24no—
1595C2×C3—21no—
1596C2×C3—21no—
1597C2×C3—21no—
1598C2×C3—44no—
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×C3C2×#100911yescharacteristic
1609C2×C3#596411yescharacteristic
1610C2×C3#596411yescharacteristic
1611C2×C3D3×H(5,𝔽2)11yescharacteristic
1612C2×C3C23×#6711yescharacteristic
1613D3—22no—
1614D3—22no—
1615D3—41no—
1616D3—42no—
1617D3—42no—
1618D3—122no—
1619D3—121no—
1620D3—122no—
1621D3—121no—
1622D3—122no—
1623D3—242no—
1624C22—22no—
1625C22—22no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—32no—
1630C22—32no—
1631C22—61no—
1632C22—61no—
1633C22—61no—
1634C22—61no—
1635C22—62no—
1636C22—61no—
1637C22—62no—
1638C22—61no—
1639C22—62no—
1640C22—62no—
1641C22—62no—
1642C22—61no—
1643C22—62no—
1644C22—128no—
1645C22—124no—
1646C22—181no—
1647C22—182no—
1648C22—181no—
1649C22—182no—
1650C22—181no—
1651C22—182no—
1652C22—244no—
1653C22—724no—
1654C22—724no—
1655C22C2×D3×#6714yes—
1656C22C23×D3211yescharacteristic
1657C4—21no—
1658C4—22no—
1659C4—32no—
1660C4—34no—
1661C4—61no—
1662C4—62no—
1663C4—61no—
1664C4—61no—
1665C4—61no—
1666C4—182no—
1667C4—181no—
1668C4—181no—
1669C4—181no—
1670C4C2×D3×#6712yes—
1671C3—21no—
1672C3#8662911yescharacteristic, complemented
1673C3#8727511yescharacteristic, complemented
1674C2—24no—
1675C2—41no—
1676C2—62no—
1677C2—62no—
1678C2—122no—
1679C2—121no—
1680C2—122no—
1681C2—361no—
1682C2—362no—
1683C2D3×#100911yescharacteristic
1684C2#1059669511yescharacteristic
1685C2C22×D3×#6711yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC2×C32×#41C22
hypercenterC2×#41D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×C3×D3×#41C2semidirect
2. C2×#64314C2semidirect
3. #10596300C2semidirect
4. C3×#5829C2semidirect
5. #10595426C2semidirect
6. #10595402C2semidirect
7. #10595401C2semidirect
8. #10595398C2semidirect
9. #10595291C2semidirect
10. #10595287C2semidirect
11. #10595238C2semidirect
12. D4×#626C2semidirect
13. D4×#625C2semidirect
14. #10595222C2semidirect
15. #10595156C2semidirect
16. #10595068C2semidirect
17. #10595065C2semidirect
18. D3×#930C2semidirect
19. C2×#63906C2semidirect
20. #10595007C2semidirect
21. #10595006C2semidirect
22. #10595002C2semidirect
23. #10594896C2semidirect
26. C2×C32×#41C22semidirect
27. C2×D4×C3⋊D3C22semidirect
29. C2×C3×#239C22semidirect
30. C2×C3×D3×Q8C22semidirect
32. C2×C3×#237C22semidirect
33. C2×C3×D3×D4C22semidirect
34. C2×C3×D3×D4C22semidirect
35. C2×C3×D3×D4C22semidirect
36. C2×C3×#235C22semidirect
37. C2×C3×#235C22semidirect
38. C22×C3×C4×D3C22semidirect
39. C22×C3×C4×D3C22semidirect
40. C2×#3811C22semidirect
41. C2×D3×#67C22semidirect
42. C2×D3×#67C22semidirect
43. C22×#626C22semidirect
44. C22×#626C22semidirect
45. C22×#625C22semidirect
46. C2×#3804C22semidirect
48. C2×D3×D12C22semidirect
49. C2×#3799C22semidirect
50. C2×#3798C22semidirect
51. C2×#3796C22semidirect
52. #64156C22semidirect
53. #64155C22semidirect
54. #64148C22semidirect
55. #64146C22semidirect
56. D4×C3⋊Dic3C22semidirect
57. #64139C22semidirect
58. #64138C22semidirect
59. C4×#638C22semidirect
60. C2×#3752C22semidirect
61. C3×#947C22semidirect
62. C3×#946C22semidirect
63. C3×#939C22semidirect
64. C3×#937C22semidirect
65. C3×D4×Dic3C22semidirect
66. C3×#930C22semidirect
67. C3×#929C22semidirect
68. C3×C4×#67C22semidirect
69. C2×C3×(C2×D3)⋊C4C22semidirect
70. #63981C22semidirect
71. #63980C22semidirect
72. #63979C22semidirect
73. #63979C22semidirect
74. #63978C22semidirect
75. #63978C22semidirect
76. #63978C22semidirect
77. #63977C22semidirect
78. #63977C22semidirect
79. #63976C22semidirect
80. #63976C22semidirect
81. #63976C22semidirect
82. #67⋊Dic3C22semidirect
83. Dic3×#67C22semidirect
84. #63970C22semidirect
85. C2×Dic3⋊Dic3C22semidirect
86. #63964C22semidirect
87. #63958C22semidirect
88. #63955C22semidirect
89. #63922C22semidirect
90. #63922C22semidirect
91. D3×(C2×D3)⋊C4C22semidirect
92. #63916C22semidirect
93. #63914C22semidirect
94. #63911C22semidirect
95. #63909C22semidirect
96. #63908C22semidirect
97. #63908C22semidirect
98. #63907C22semidirect
99. #63907C22semidirect
100. #63906C22semidirect
101. #63906C22semidirect
102. #63906C22semidirect
103. #63906C22semidirect
104. #63906C22semidirect
105. #63906C22semidirect
106. #63906C22semidirect
107. #63906C22semidirect
108. #63906C22semidirect
109. #63905C22semidirect
110. #63904C22semidirect
111. #63904C22semidirect
112. C4×#626C22semidirect
113. C4×#625C22semidirect
114. D3×C4⋊Dic3C22semidirect
115. #63888C22semidirect
116. #63887C22semidirect
117. #63886C22semidirect
118. #63885C22semidirect
119. #63879C22semidirect
120. #63879C22semidirect
121. #63855C22semidirect
122. #63851C22semidirect
123. #63851C22semidirect
124. #63850C22semidirect
125. #63843C22semidirect
126. Dic3×Dic6C22semidirect
129. C2×D3×#41D3semidirect
143. #5829D3semidirect
204. C3×#237D4semidirect
305. C2×C3×#41C2×D3semidirect
306. C2×C3×#41C2×D3semidirect
323. C2×#239C2×D3semidirect
324. C2×D3×Q8C2×D3semidirect
329. C2×#237C2×D3semidirect
338. C2×D3×D4C2×D3semidirect
339. C2×D3×D4C2×D3semidirect
340. C2×D3×D4C2×D3semidirect
345. C2×#235C2×D3semidirect
346. C2×#235C2×D3semidirect
350. C22×C4×D3C2×D3semidirect
351. C22×C4×D3C2×D3semidirect
371. #947C2×D3semidirect
377. #946C2×D3semidirect
398. #939C2×D3semidirect
413. #937C2×D3semidirect
419. D4×Dic3C2×D3semidirect
438. #930C2×D3semidirect
444. #929C2×D3semidirect
456. C4×#67C2×D3semidirect
461. C2×(C2×D3)⋊C4C2×D3semidirect
537. C32×D4C2×D4semidirect
558. C3×#67C2×D4semidirect
561. C2×C3×Dic3C2×D4semidirect
579. C3×C4×D3C2×D4semidirect
581. C3×Dic6C2×D4semidirect
745. #237#67semidirect
927. C2×C3×D3H(5,𝔽2)semidirect
954. C2×#41D32semidirect
1117. C3×D4D3×D4semidirect
1118. C3×D4C2×#67semidirect
1188. #67C2×#67semidirect
1208. C2×Dic3C2×#67semidirect
1246. C4×D3C2×#67semidirect
1250. Dic6C2×#67semidirect
1464. C2×D3#1009semidirect
1501. C32#3488semidirect
1560. D4D3×#67semidirect
1672. C3#86629semidirect
1673. C3#87275semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×#412
C2×#643142
#105963002
C3×#58292
#105954262
#105954022
#105954012
#105953982
#105952912
#105952872
#105952382
D4×#6262
D4×#6252
#105952222
#105951562
#105950682
#105950652
D3×#9302
C2×#639062
#105950072
#105950062
#105950022
#105948962
#872753
#866293