Finite Group Databasebeta

← #11904680

Subgroups — #11904680

Order 1152.

3530 conjugacy classes of subgroups.

The subgroup lattice has 1697 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64312C211yesmaximal, characteristic, complemented
2C2×#64308C211yesmaximal, characteristic, complemented
3#10596080C211yesmaximal, characteristic, complemented
4C3×#5608C211yesmaximal, characteristic, complemented
5C3×#5599C211yesmaximal, characteristic, complemented
6#10595303C211yesmaximal, characteristic, complemented
7#10595299C212yesmaximal, complemented
8#10595298C212yesmaximal, complemented
9#10595297C211yesmaximal, characteristic, complemented
10#10595297C212yesmaximal, complemented
11#10595296C212yesmaximal, complemented
12#10595236C211yesmaximal, characteristic, complemented
13#10595060C211yesmaximal, characteristic, complemented
14#10595018C211yesmaximal, characteristic, complemented
15#10594830C211yesmaximal, characteristic, complemented
16#10594633C211yesmaximal, characteristic, complemented
17D3×#895C211yesmaximal, characteristic, complemented
18#10594329C211yesmaximal, characteristic, complemented
19#10594327C211yesmaximal, characteristic, complemented
20#10594284C212yesmaximal, complemented
21#10594283C212yesmaximal, complemented
22#10594069C212yesmaximal, complemented
23#10594066C212yesmaximal, complemented
24#86769—31nomaximal
25#86379—31nomaximal
26C2×D4×C3⋊D3C2211yescharacteristic, complemented
27C2×D4×C3⋊D3C2212yescomplemented
28C22×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
29C2×C3×#237C2211yescharacteristic, complemented
30C2×C3×#237C2211yescharacteristic, complemented
31C2×C3×#235C2211yescharacteristic, complemented
32C2×C3×#235C2211yescharacteristic, complemented
33C2×#3811C2212yescomplemented
34C2×#3811C2212yescomplemented
35C2×#3811C2212yescomplemented
36C2×#3811C2212yescomplemented
37C22×#624C2212yescomplemented
38C2×#3804C2212yescomplemented
39C2×#3804C2212yescomplemented
40#64312—28no—
41#64308—28no—
42C2×D3×D12C2211yescharacteristic, complemented
43C2×D3×D12C2211yescharacteristic, complemented
44C2×D3×D12C2212yescomplemented
45C2×D3×D12C2212yescomplemented
46C2×C4×D32C2211yescharacteristic, complemented
47C2×#3799C2211yescharacteristic
48C2×#3799C2212yescomplemented
49C2×#3799C2211yescharacteristic, complemented
50C2×#3799C2211yescharacteristic, complemented
51C2×#3797C2211yescharacteristic, complemented
52C32×#121C2211yescharacteristic, complemented
53#64149C2211yescharacteristic, complemented
54#64146C2212yescomplemented
55C4×#638C2211yescharacteristic, complemented
56#64104C2211yescharacteristic, complemented
57#64102C2211yescharacteristic, complemented
58#64093C2212yescomplemented
59#64091C2212yescomplemented
60C3×#940C2212yescomplemented
61C3×#940C2211yescharacteristic, complemented
62C3×#939C2212yescomplemented
63C3×#939C2212yescomplemented
64C3×#938C2211yescharacteristic, complemented
65C3×#938C2212yescomplemented
66C3×C4×#67C2211yescharacteristic, complemented
67C3×#924C2211yescharacteristic, complemented
68C3×#897C2211yescharacteristic, complemented
69C3×#895C2211yescharacteristic, complemented
70C3×D3×C4⋊C4C2211yescharacteristic, complemented
71C3×#887C2211yescharacteristic, complemented
72C3×#884C2212yescomplemented
73C3×#884C2212yescomplemented
74C3×#67⋊C4C2212yescomplemented
75C3×#878C2212yescomplemented
76#63983C2212yescomplemented
77#63983C2211yescharacteristic, complemented
78#63983C2212yescomplemented
79#63983C2212yescomplemented
80#63981C2212yescomplemented
81#63981C2212yescomplemented
82#63979C2212yescomplemented
83#63978C2212yescomplemented
84#63978C2212yescomplemented
85#63978C2212yescomplemented
86#63974C2212yescomplemented
87#63970C2211yescharacteristic, complemented
88#63969C2211yescharacteristic, complemented
89#63959C2212yescomplemented
90#63958C2212yescomplemented
91#63958C2212yescomplemented
92#63958C2212yescomplemented
93#63958C2211yescharacteristic, complemented
94#63952C2212yescomplemented
95#63922C2212yescomplemented
96#63922C2211yescharacteristic, complemented
97#63921C2212yescomplemented
98D3×(C2×D3)⋊C4C2212yescomplemented
99#63916C2211yescharacteristic, complemented
100#63916C2212yescomplemented
101#63910C2212yescomplemented
102#63910C2212yescomplemented
103#63910C2212yescomplemented
104#63909C2211yescharacteristic, complemented
105#63904C2212yescomplemented
106#63904C2212yescomplemented
107C4×#626C2212yescomplemented
108C4×#626C2211yescharacteristic, complemented
109C4×#625C2211yescharacteristic, complemented
110#63897C2212yescomplemented
111#63895C2212yescomplemented
112#63894C2212yescomplemented
113#63894C2211yescharacteristic, complemented
114#63888C2211yescharacteristic, complemented
115#63887C2211yescharacteristic, complemented
116#63886C2212yescomplemented
117#63884C2211yescharacteristic, complemented
118#63883C2212yescomplemented
119#63864C2211yescharacteristic, complemented
120#63863C2211yescharacteristic, complemented
121#63855C2211yescharacteristic, complemented
122#63854C2212yescomplemented
123#63852C2212yescomplemented
124#63851C2212yescomplemented
125#63843C2211yescharacteristic, complemented
126#63836C2212yescomplemented
127C2×#1009—31no—
128C2×#1009—31no—
129C2×D3×#41—31no—
130C2×D3×#41—31no—
131C3×#550—31no—
132C3×#537—31no—
133#5834—31no—
134#5831—31no—
135#5830—31no—
136#5828—31no—
137#5717—31no—
138#5717—32no—
139#5715—31no—
140#5715—32no—
141#5633—31no—
142#5633—31no—
143#5630—31no—
144#5630—31no—
145#5629—32no—
146#5627—32no—
147#5612—32no—
148#5612—31no—
149#5610—32no—
150#5610—32no—
151#5609—31no—
152#5609—31no—
153#5609—32no—
154#5609—31no—
155#5609—32no—
156#5609—32no—
157#5609—61no—
158#5608—32no—
159#5608D311yescharacteristic, complemented
160#5607—32no—
161D3×#121—32no—
162D3×#121—32no—
163D3×#121—31no—
164#5599—31no—
165#5599D311yescharacteristic, complemented
166#5576—31no—
167#5574—31no—
168#5550—31no—
169#5550—32no—
170#5547—31no—
171#5547—32no—
172C2×#895—31no—
173#5504—31no—
174C23×C3⋊D3C2312yes—
175C23×C3⋊D3C2312yes—
176C22×D32C2311yescharacteristic
177C22×D32C2312yes—
178C22×D32C2312yes—
179C2×C32×D4C2311yescharacteristic
180C2×C32×D4C2312yes—
181C22×C32×C4C2311yescharacteristic
182C2×#638C2312yes—
183C2×#638C2311yescharacteristic
184C2×#638C2312yes—
185C2×#638C2312yes—
186D4×C3⋊D3—24no—
187D4×C3⋊D3—44no—
188C2×C4⋊(C3⋊D3)—24no—
189C2×C4⋊(C3⋊D3)C2312yes—
190C2×C4⋊(C3⋊D3)C2311yescharacteristic
191C2×C4⋊(C3⋊D3)C2312yes—
192C2×C4⋊(C3⋊D3)C2311yescharacteristic
193C2×C4×C3⋊D3C2311yescharacteristic
194C2×C4×C3⋊D3C2312yes—
195C2×C3×#67C2312yes—
196C2×C3×#67C2312yes—
197C2×C3×#67C2311yescharacteristic
198C2×C3×#67C2311yescharacteristic
199C2×C3×#67C2312yes—
200C2×C3×#67C2312yes—
201C2×C3×#67C2312yes—
202C2×C3×#67C2312yes—
203C2×C3×#67C2311yescharacteristic
204C22×C3×Dic3C2312yes—
205C22×C3×Dic3C2312yes—
206C3×#237—24no—
207C3×#237—24no—
208C3×#235—24no—
209C3×#235—24no—
210C2×C3×D12C2311yescharacteristic
211C2×C3×D12C2311yescharacteristic
212C2×C3×D12C2312yes—
213C2×C3×C4×D3C2312yes—
214C2×C3×C4×D3C2311yescharacteristic
215C2×C3×C4×D3C2311yescharacteristic
216C2×C3×C4×D3C2312yes—
217C2×C3×C4×D3C2311yescharacteristic
218C2×C3×Dic6C2311yescharacteristic
219C2×C3×Dic6C2311yescharacteristic
220C2×C3×Dic6C2311yescharacteristic
221#3811—28no—
222#3811—28no—
223#3811—28no—
224#3811—44no—
225C2×#627C2312yes—
226C2×#626C2312yes—
227C2×#626C2312yes—
228C2×#626C2312yes—
229C2×#626C2312yes—
230C2×#626C2312yes—
231C2×#626C2311yescharacteristic
232C2×#626C2312yes—
233C2×#626C2312yes—
234C2×#625C2311yescharacteristic
235C2×#624—28no—
236C2×#624C2312yes—
237C2×#624C2312yes—
238C2×#624C2312yes—
239C2×#624C2311yescharacteristic
240C2×#624C2312yes—
241C2×#624C2312yes—
242#3804—28no—
243#3804—28no—
244C2×D3×Dic3C2311yescharacteristic
245C2×D3×Dic3C2311yescharacteristic
246D3×D12—24no—
247D3×D12—24no—
248D3×D12—28no—
249D3×D12—44no—
250C4×D32—24no—
251#3799—24no—
252#3799—24no—
253#3799—28no—
254#3799D418yescomplemented
255#3797—24no—
256C32×C4⋊C4C2311yescharacteristic
257C32×C22⋊C4C2312yes—
258#3757C2311yescharacteristic
259#3752C2311yescharacteristic
260#3752C2312yes—
261#3752C2312yes—
262#3750C2311yescharacteristic
263C4×C3⋊Dic3C2311yescharacteristic
264C3×#217C2312yes—
265C3×#217C2312yes—
266C3×#217C2311yescharacteristic
267C3×(C2×D3)⋊C4C2312yes—
268C3×(C2×D3)⋊C4C2311yescharacteristic
269C3×(C2×D3)⋊C4C2312yes—
270C3×C4⋊Dic3C2312yes—
271C3×C4⋊Dic3C2311yescharacteristic
272C3×Dic3⋊C4C2312yes—
273C3×Dic3⋊C4C2312yes—
274C3×Dic3⋊C4C2311yescharacteristic
275C3×Dic3⋊C4C2312yes—
276C3×C4×Dic3C2312yes—
277C3×C4×Dic3C2311yescharacteristic
278#3724C2311yescharacteristic
279Dic3⋊Dic3C2311yescharacteristic
280Dic3⋊Dic3C2312yes—
281Dic3⋊Dic3C2311yescharacteristic
282Dic3⋊Dic3C2311yescharacteristic
283#3722C2312yes—
284#3722C2312yes—
285#3722C2312yes—
286#3722C2311yescharacteristic
287#3722C2312yes—
288(C2×D3)⋊Dic3C2312yes—
289(C2×D3)⋊Dic3C2312yes—
290(C2×D3)⋊Dic3C2311yescharacteristic
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—
300C2×C3×#41—31no—
301C2×C3×#41—31no—
302#1009—68no—
303#1009—68no—
304D3×#41—68no—
305D3×#41—68no—
306C2×#239—31no—
307C2×#239—31no—
308C2×#239—31no—
309C2×#239—32no—
310C2×D3×Q8—31no—
311C2×D3×Q8—31no—
312C2×#237—32no—
313C2×#237—32no—
314C2×#237C2×D311yescharacteristic, complemented
315C2×#237C2×D311yescharacteristic, complemented
316C2×D3×D4—31no—
317C2×D3×D4—31no—
318C2×D3×D4—32no—
319C2×D3×D4—32no—
320C2×D3×D4—32no—
321C2×D3×D4—32no—
322C2×D3×D4—32no—
323C2×D3×D4—32no—
324C2×D3×D4—32no—
325C2×D3×D4—32no—
326C2×D3×D4—32no—
327C2×D3×D4—32no—
328C2×D3×D4—31no—
329C2×D3×D4—31no—
330C2×D3×D4—32no—
331C2×D3×D4—32no—
332C2×D3×D4—61no—
333C2×D3×D4—62no—
334C2×#235—32no—
335C2×#235—32no—
336C2×#235—31no—
337C2×#235—31no—
338C2×#235—31no—
339C2×#235—32no—
340C2×#235C2×D311yescharacteristic, complemented
341C2×#235C2×D311yescharacteristic, complemented
342C22×D12—31no—
343C22×D12—31no—
344C22×D12—31no—
345C22×D12—32no—
346C22×D12—31no—
347C22×D12—32no—
348C22×D12—61no—
349C22×C4×D3—32no—
350C22×C4×D3—32no—
351C22×C4×D3—31no—
352C22×C4×D3—31no—
353C3×#127—32no—
354C3×#127—31no—
355C3×C22⋊Q8—31no—
356C3×C22⋊Q8—31no—
357C3×C22⋊Q8—32no—
358C3×#121—21no—
359C3×#121—31no—
360C3×#121—32no—
361C3×#121—32no—
362C3×#121—32no—
363C3×#121—31no—
364C3×#121—32no—
365C3×#121—32no—
366C3×#121C2×D311yescharacteristic, complemented
367C3×#121C2×D311yescharacteristic, complemented
368C3×C4×Q8—31no—
369C3×C4×D4—31no—
370C3×C4×D4—32no—
371C2×C3×C4⋊C4—31no—
372#947—31no—
373#947—31no—
374#946—31no—
375#946—31no—
376Q8×Dic3—31no—
377#940—31no—
378#940—31no—
379#940—32no—
380#940—32no—
381#940—61no—
382#940C2×D311yescharacteristic, complemented
383#940C2×D312yescomplemented
384#939—31no—
385#939—32no—
386#939—32no—
387#939—32no—
388#939—32no—
389#939C2×D312yescomplemented
390#939C2×D312yescomplemented
391#938—31no—
392#938—32no—
393#938—32no—
394#938—32no—
395#938—31no—
396#938—31no—
397#938—32no—
398#938C2×D311yescharacteristic, complemented
399#938C2×D312yescomplemented
400#937—32no—
401#937—32no—
402#937—32no—
403#937—32no—
404#937—32no—
405#937—31no—
406#937—31no—
407#937—32no—
408#937—32no—
409#937—32no—
410#937—32no—
411#937—32no—
412#937—32no—
413#937—31no—
414#937—62no—
415#936—31no—
416#936—32no—
417#935—31no—
418#935—31no—
419#930—32no—
420#930—32no—
421#930—32no—
422#930—31no—
423C4×#67—31no—
424C4×#67—31no—
425C4×#67—31no—
426C4×#67—31no—
427C4×#67—32no—
428C4×#67—32no—
429C4×#67—32no—
430C4×#67—31no—
431C4×#67—32no—
432C4×#67—61no—
433C4×#67C2×D311yescharacteristic, complemented
434C2×(C2×D3)⋊C4—32no—
435#926—31no—
436#924—32no—
437#924C2×D311yescharacteristic, complemented
438#897—32no—
439#897C2×D311yescharacteristic, complemented
440#896—32no—
441#896—31no—
442#896—32no—
443#895—31no—
444#895—32no—
445#895—32no—
446#895—31no—
447#895—31no—
448#895—31no—
449#895—32no—
450#895—32no—
451#895—32no—
452#895—61no—
453#895C2×D311yescharacteristic, complemented
454#894—31no—
455#894—32no—
456#894—32no—
457#894—32no—
458#893—32no—
459#893—32no—
460#893—31no—
461#893—31no—
462#893—32no—
463#893—31no—
464#893—61no—
465#892—32no—
466D3×C4⋊C4—32no—
467D3×C4⋊C4—32no—
468D3×C4⋊C4C2×D311yescharacteristic, complemented
469#887—31no—
470#887C2×D311yescharacteristic, complemented
471#885—32no—
472#885—32no—
473#884—32no—
474#884—31no—
475#884—32no—
476#884—32no—
477#884—32no—
478#884—32no—
479#884—32no—
480#884—32no—
481#884—32no—
482#884—62no—
483#884C2×D312yescomplemented
484#884C2×D312yescomplemented
485#883—31no—
486#883—32no—
487#882—32no—
488#882—32no—
489#882—31no—
490#882—32no—
491#882—32no—
492#882—32no—
493#882—62no—
494#67⋊C4—32no—
495#67⋊C4C2×D312yescomplemented
496D3×C22⋊C4—32no—
497D3×C22⋊C4—32no—
498D3×C22⋊C4—32no—
499D3×C22⋊C4—32no—
500D3×C22⋊C4—32no—
501#878—31no—
502#878C2×D312yescomplemented
503#875—31no—
504#875—32no—
505C4×D12—31no—
506C4×D12—32no—
507C4×D12—32no—
508C4×D12—31no—
509#872—31no—
510#872—32no—
511C23×C32C2411yescharacteristic
512C23×C32C2412yes—
513C22×C3⋊D3—24no—
514C22×C3⋊D3—24no—
515C22×C3⋊D3—24no—
516C22×C3⋊D3—42no—
517C22×C3⋊D3—42no—
518C22×C3⋊D3—42no—
519C22×C3⋊D3C2412yes—
520C22×C3⋊D3C2412yes—
521C22×C3⋊D3C2411yescharacteristic
522C22×C3×D3C2412yes—
523C22×C3×D3C2411yescharacteristic
524C22×C3×D3C2411yescharacteristic
525C22×C3×D3C2411yescharacteristic
526C2×D32—22no—
527C2×D32—22no—
528C2×D32—24no—
529C2×D32—24no—
530C2×D32—41no—
531C2×D32—42no—
532C2×D32—42no—
533C2×D32—42no—
534C2×D32—42no—
535C32×D4—22no—
536C32×D4—42no—
537C2×C32×C4—22no—
538C2×C32×C4C2412yes—
539C2×C32×C4C2411yescharacteristic
540C2×C32×C4C2411yescharacteristic
541#638—22no—
542#638—24no—
543#638—42no—
544#638—42no—
545C2×C3⋊Dic3C2411yescharacteristic
546C2×C3⋊Dic3C2411yescharacteristic
547C2×C3⋊Dic3C2411yescharacteristic
548C4⋊(C3⋊D3)—24no—
549C4⋊(C3⋊D3)—24no—
550C4⋊(C3⋊D3)—22no—
551C4⋊(C3⋊D3)C2×D414yescomplemented
552C4×C3⋊D3—22no—
553C4×C3⋊D3—42no—
554C3×#67—24no—
555C3×#67—22no—
556C3×#67—24no—
557C3×#67—22no—
558C3×#67—24no—
559C3×#67—42no—
560C3×#67—42no—
561C3×#67—41no—
562C3×#67—42no—
563C2×C3×Dic3—24no—
564C2×C3×Dic3—24no—
565C2×C3×Dic3C2412yes—
566C2×C3×Dic3C2411yescharacteristic
567C2×C3×Dic3C2412yes—
568C2×C3×Dic3C2411yescharacteristic
569C2×C3×Dic3C2411yescharacteristic
570C2×C3×Dic3C2411yescharacteristic
571C2×C3×Dic3C2412yes—
572C2×C3×Dic3C2411yescharacteristic
573C3×D12—22no—
574C3×D12—22no—
575C3×D12—42no—
576C3×C4×D3—22no—
577C3×C4×D3—22no—
578C3×C4×D3—24no—
579C3×C4×D3—42no—
580C3×C4×D3C2×D414yescomplemented
581C3×Dic6—22no—
582C3×Dic6—22no—
583C3×Dic6C2×D414yescomplemented
584#627—24no—
585#626—24no—
586#626—24no—
587#626—24no—
588#626—22no—
589#626—24no—
590#626—24no—
591#626—42no—
592#626C2×D418yescomplemented
593#625—41no—
594#624—24no—
595#624—24no—
596#624—24no—
597#624—22no—
598#624—42no—
599#624C2×D418yescomplemented
600D3×Dic3—22no—
601D3×Dic3—22no—
602C2×H(5,𝔽2)—91no—
603C22×#41—91no—
604#550—31no—
605#550—91no—
606#548—91no—
607#548—91no—
608#546—92no—
609#546—91no—
610#546—92no—
611#546—91no—
612D42—92no—
613D42—91no—
614D42—92no—
615D42—91no—
616#537—31no—
617#537—92no—
618#535—92no—
619#535—91no—
620#525—92no—
621#525—91no—
622C2×#121—91no—
623C2×#121—92no—
624#520—91no—
625C23×D3—32no—
626C23×D3—32no—
627C23×D3—32no—
628C23×D3—32no—
629C23×D3—31no—
630C23×D3—31no—
631C23×D3—32no—
632C23×D3—32no—
633C23×D3—32no—
634C23×D3—32no—
635C23×D3—62no—
636C23×D3—62no—
637C3×#41—64no—
638C3×#41—64no—
639C3×#41—64no—
640C3×#41—64no—
641C2×C3×Q8—31no—
642C2×C3×Q8—31no—
643C2×C3×Q8—31no—
644C2×C3×D4—22no—
645C2×C3×D4—21no—
646C2×C3×D4—31no—
647C2×C3×D4—32no—
648C2×C3×D4—32no—
649C2×C3×D4—31no—
650C2×C3×D4—32no—
651C2×C3×D4—32no—
652C2×C3×D4—31no—
653C2×C3×D4—32no—
654C2×C3×D4—32no—
655C2×C3×D4—31no—
656C2×C3×D4—31no—
657C2×C3×D4—32no—
658C2×C3×D4C22×D311yescharacteristic
659C2×C3×D4C22×D311yescharacteristic
660C2×C3×D4C22×D312yes—
661C2×C3×D4C22×D312yes—
662C22×C3×C4—21no—
663C22×C3×C4—31no—
664C22×C3×C4—32no—
665C22×C3×C4—32no—
666C22×C3×C4—32no—
667C22×C3×C4—31no—
668C22×C3×C4—31no—
669C22×C3×C4—32no—
670C22×C3×C4C22×D311yescharacteristic
671C22×C3×C4C22×D311yescharacteristic
672C2×#67—31no—
673C2×#67—32no—
674C2×#67—31no—
675C2×#67—32no—
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—31no—
685C2×#67—32no—
686C2×#67—32no—
687C2×#67—32no—
688C2×#67—32no—
689C2×#67—32no—
690C2×#67—61no—
691C2×#67—62no—
692C2×#67—62no—
693C2×#67—62no—
694C2×#67C22×D311yescharacteristic
695C2×#67C22×D312yes—
696C2×#67C22×D312yes—
697C2×#67C22×D311yescharacteristic
698C2×#67C22×D312yes—
699C2×#67C22×D312yes—
700C2×#67C22×D311yescharacteristic
701C2×#67C22×D312yes—
702C2×#67C22×D312yes—
703C22×Dic3—31no—
704C22×Dic3—31no—
705C22×Dic3C22×D312yes—
706C22×Dic3C22×D312yes—
707#239—38no—
708#239—68no—
709#239—64no—
710#239—64no—
711D3×Q8—64no—
712D3×Q8—64no—
713#237—24no—
714#237—24no—
715#237—68no—
716#237—68no—
717D3×D4—64no—
718D3×D4—68no—
719D3×D4—68no—
720D3×D4—68no—
721D3×D4—68no—
722D3×D4—68no—
723D3×D4—64no—
724D3×D4—64no—
725D3×D4—68no—
726D3×D4—68no—
727D3×D4—64no—
728D3×D4—124no—
729D3×D4—124no—
730D3×D4—124no—
731D3×D4—124no—
732D3×D4—124no—
733D3×D4—124no—
734D3×D4—128no—
735#235—24no—
736#235—24no—
737#235—38no—
738#235—68no—
739#235—64no—
740#235—68no—
741#235—68no—
742#235—64no—
743C2×D12—32no—
744C2×D12—31no—
745C2×D12—31no—
746C2×D12—31no—
747C2×D12—32no—
748C2×D12—32no—
749C2×D12—32no—
750C2×D12—32no—
751C2×D12—32no—
752C2×D12—32no—
753C2×D12—31no—
754C2×D12—32no—
755C2×D12—32no—
756C2×D12—32no—
757C2×D12—31no—
758C2×D12—32no—
759C2×D12—61no—
760C2×D12—62no—
761C2×D12—62no—
762C2×D12—61no—
763C2×D12—68no—
764C2×D12—64no—
765C2×D12—64no—
766C2×D12—64no—
767C2×D12—64no—
768C2×D12—124no—
769C2×D12—124no—
770C2×D12C22×D311yescharacteristic
771C2×D12C22×D311yescharacteristic
772C2×D12C22×D312yes—
773C2×C4×D3—32no—
774C2×C4×D3—32no—
775C2×C4×D3—31no—
776C2×C4×D3—31no—
777C2×C4×D3—31no—
778C2×C4×D3—31no—
779C2×C4×D3—32no—
780C2×C4×D3—32no—
781C2×C4×D3—32no—
782C2×C4×D3—32no—
783C2×C4×D3—32no—
784C2×C4×D3—31no—
785C2×C4×D3—32no—
786C2×C4×D3—31no—
787C2×C4×D3—32no—
788C2×C4×D3—32no—
789C2×C4×D3—32no—
790C2×C4×D3—32no—
791C2×C4×D3—62no—
792C2×C4×D3—61no—
793C2×C4×D3—64no—
794C2×C4×D3—68no—
795C2×C4×D3—68no—
796C2×C4×D3—64no—
797C2×C4×D3C22×D311yescharacteristic
798C2×C4×D3C22×D312yes—
799C2×C4×D3C22×D311yescharacteristic
800C2×C4×D3C22×D312yes—
801C2×C4×D3C22×D311yescharacteristic
802C2×Dic6—32no—
803C2×Dic6—32no—
804C2×Dic6C22×D311yescharacteristic
805C2×Dic6C22×D311yescharacteristic
806C2×Dic6C22×D311yescharacteristic
807C3×C4⋊C4—21no—
808C3×C4⋊C4—31no—
809C3×C4⋊C4—32no—
810C3×C4⋊C4—32no—
811C3×C4⋊C4—32no—
812C3×C4⋊C4—32no—
813C3×C4⋊C4—31no—
814C3×C4⋊C4C22×D311yescharacteristic
815C3×C4⋊C4C22×D311yescharacteristic
816C3×C22⋊C4—22no—
817C3×C22⋊C4—31no—
818C3×C22⋊C4—32no—
819C3×C22⋊C4—32no—
820C3×C22⋊C4—31no—
821C3×C22⋊C4—32no—
822C3×C22⋊C4—32no—
823C3×C22⋊C4C22×D312yes—
824C3×C22⋊C4C22×D312yes—
825C3×C42—32no—
826C3×C42—31no—
827#217—31no—
828#217—31no—
829#217—31no—
830#217—31no—
831#217—32no—
832#217—32no—
833#217—32no—
834#217—31no—
835#217—31no—
836#217—31no—
837#217—61no—
838#217C22×D312yes—
839#217C22×D311yescharacteristic
840#217C22×D312yes—
841(C2×D3)⋊C4—31no—
842(C2×D3)⋊C4—31no—
843(C2×D3)⋊C4—31no—
844(C2×D3)⋊C4—31no—
845(C2×D3)⋊C4—32no—
846(C2×D3)⋊C4—32no—
847(C2×D3)⋊C4—31no—
848(C2×D3)⋊C4—32no—
849(C2×D3)⋊C4—32no—
850(C2×D3)⋊C4—32no—
851(C2×D3)⋊C4—31no—
852(C2×D3)⋊C4—32no—
853(C2×D3)⋊C4—31no—
854(C2×D3)⋊C4—32no—
855(C2×D3)⋊C4—32no—
856(C2×D3)⋊C4—31no—
857(C2×D3)⋊C4—32no—
858(C2×D3)⋊C4—32no—
859(C2×D3)⋊C4—32no—
860(C2×D3)⋊C4—32no—
861(C2×D3)⋊C4—32no—
862(C2×D3)⋊C4—32no—
863(C2×D3)⋊C4—31no—
864(C2×D3)⋊C4—32no—
865(C2×D3)⋊C4—61no—
866(C2×D3)⋊C4—62no—
867(C2×D3)⋊C4—62no—
868(C2×D3)⋊C4C22×D312yes—
869(C2×D3)⋊C4C22×D312yes—
870(C2×D3)⋊C4C22×D311yescharacteristic
871C4⋊Dic3—31no—
872C4⋊Dic3—32no—
873C4⋊Dic3—31no—
874C4⋊Dic3—31no—
875C4⋊Dic3C22×D312yes—
876C4⋊Dic3C22×D311yescharacteristic
877Dic3⋊C4—31no—
878Dic3⋊C4—31no—
879Dic3⋊C4—31no—
880Dic3⋊C4—31no—
881Dic3⋊C4—31no—
882Dic3⋊C4—31no—
883Dic3⋊C4—32no—
884Dic3⋊C4—31no—
885Dic3⋊C4—61no—
886Dic3⋊C4C22×D312yes—
887Dic3⋊C4C22×D312yes—
888Dic3⋊C4C22×D311yescharacteristic
889Dic3⋊C4C22×D312yes—
890C4×Dic3—31no—
891C4×Dic3—31no—
892C4×Dic3—32no—
893C4×Dic3—32no—
894C4×Dic3—61no—
895C4×Dic3C22×D312yes—
896C4×Dic3C22×D311yescharacteristic
897C22×C32—21no—
898C22×C32—22no—
899C22×C32—21no—
900C22×C32—22no—
901C22×C32—22no—
902C22×C32—21no—
903C22×C32C2511yescharacteristic
904C2×C3⋊D3—21no—
905C2×C3⋊D3—22no—
906C2×C3⋊D3—21no—
907C2×C3⋊D3—22no—
908C2×C3⋊D3—22no—
909C2×C3⋊D3—22no—
910C2×C3⋊D3—22no—
911C2×C3⋊D3—48no—
912C2×C3⋊D3—84no—
913C2×C3⋊D3C22×D414yes—
914C2×C3⋊D3H(5,𝔽2)12yescomplemented
915C2×C3×D3—21no—
916C2×C3×D3—21no—
917C2×C3×D3—21no—
918C2×C3×D3—22no—
919C2×C3×D3—21no—
920C2×C3×D3—22no—
921C2×C3×D3—21no—
922C2×C3×D3—21no—
923C2×C3×D3—21no—
924C2×C3×D3—21no—
925C2×C3×D3—22no—
926C2×C3×D3C22×D412yes—
927D32—44no—
928D32—84no—
929D32—84no—
930C32×C4—21no—
931C32×C4—22no—
932C32×C4C22×D412yes—
933C3⋊Dic3—21no—
934C3⋊Dic3—21no—
935C3⋊Dic3—21no—
936C3×Dic3—21no—
937C3×Dic3—21no—
938C3×Dic3—22no—
939C3×Dic3—21no—
940C3×Dic3—22no—
941C3×Dic3—21no—
942C3×Dic3C22×D412yes—
943C3×Dic3C22×D414yes—
944H(5,𝔽2)—188no—
945C2×#41—31no—
946C2×#41—31no—
947C2×#41—31no—
948C2×#41—31no—
949C2×#41—92no—
950C2×#41—92no—
951C2×#41—91no—
952C2×#41—92no—
953C2×#41—91no—
954C2×#41—91no—
955C2×#41—188no—
956C22×Q8—91no—
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—91no—
966C22×D4—92no—
967C22×D4—91no—
968C23×C4—91no—
969C23×C4—92no—
970#127—32no—
971#127—31no—
972#127—92no—
973#127—91no—
974#124—92no—
975#124—91no—
976#124—92no—
977#124—91no—
978#123—92no—
979#123—91no—
980#123—92no—
981#123—91no—
982C22⋊Q8—31no—
983C22⋊Q8—31no—
984C22⋊Q8—32no—
985C22⋊Q8—91no—
986C22⋊Q8—92no—
987C22⋊Q8—92no—
988C22⋊Q8—91no—
989#121—32no—
990#121—32no—
991#121—32no—
992#121—31no—
993#121—31no—
994#121—32no—
995#121—32no—
996#121—92no—
997#121—92no—
998#121—92no—
999#121—91no—
1000#121—92no—
1001#121—92no—
1002#121—92no—
1003#121—91no—
1004#121—92no—
1005#121—91no—
1006#121—92no—
1007#121—92no—
1008#121—92no—
1009#121—92no—
1010#121—91no—
1011#121—91no—
1012#121—92no—
1013#121D3211yescharacteristic, complemented
1014#120—92no—
1015#120—91no—
1016#120—92no—
1017#120—92no—
1018#120—91no—
1019#120—92no—
1020#120—92no—
1021#120—92no—
1022#120—92no—
1023#120—92no—
1024C4×Q8—31no—
1025C4×Q8—91no—
1026C4×D4—31no—
1027C4×D4—32no—
1028C4×D4—91no—
1029C4×D4—92no—
1030C4×D4—92no—
1031C4×D4—91no—
1032C4×D4—92no—
1033C4×D4—92no—
1034C4×D4—92no—
1035C4×D4—91no—
1036C4×D4—91no—
1037C4×D4—91no—
1038#117—92no—
1039#117—91no—
1040C2×C4⋊C4—31no—
1041C2×C4⋊C4—92no—
1042C2×C22⋊C4—92no—
1043C2×C22⋊C4—92no—
1044C2×C22⋊C4—92no—
1045C23×C3—21no—
1046C23×C3—22no—
1047C23×C3—31no—
1048C23×C3—32no—
1049C23×C3—31no—
1050C23×C3—31no—
1051C23×C3C23×D311yescharacteristic
1052C23×C3C23×D311yescharacteristic
1053C23×C3C23×D312yes—
1054C23×C3C23×D312yes—
1055C22×D3—32no—
1056C22×D3—31no—
1057C22×D3—32no—
1058C22×D3—31no—
1059C22×D3—32no—
1060C22×D3—32no—
1061C22×D3—62no—
1062C22×D3—61no—
1063C22×D3—62no—
1064C22×D3—62no—
1065C22×D3—62no—
1066C22×D3—64no—
1067C22×D3—64no—
1068C22×D3—62no—
1069C22×D3—64no—
1070C22×D3—64no—
1071C22×D3—64no—
1072C22×D3—64no—
1073C22×D3—64no—
1074C22×D3—64no—
1075C22×D3—64no—
1076C22×D3—62no—
1077C22×D3—64no—
1078C22×D3—124no—
1079C22×D3—124no—
1080C22×D3—124no—
1081C22×D3—121no—
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—122no—
1093C22×D3—122no—
1094C22×D3—122no—
1095C22×D3—122no—
1096C22×D3—122no—
1097C22×D3—124no—
1098C22×D3—242no—
1099C22×D3—242no—
1100C22×D3C23×D312yes—
1101C22×D3C23×D311yescharacteristic
1102C22×D3C23×D311yescharacteristic
1103C22×D3C23×D311yescharacteristic
1104C3×Q8—34no—
1105C3×Q8—62no—
1106C3×Q8—62no—
1107C3×D4—22no—
1108C3×D4—22no—
1109C3×D4—42no—
1110C3×D4—42no—
1111C3×D4—42no—
1112C3×D4—44no—
1113C3×D4—62no—
1114C3×D4—64no—
1115C3×D4—62no—
1116C3×D4—64no—
1117C3×D4—62no—
1118C3×D4—64no—
1119C3×D4—62no—
1120C3×D4—122no—
1121C3×D4—122no—
1122C3×D4—122no—
1123C3×D4—122no—
1124C3×D4—121no—
1125C2×C3×C4—22no—
1126C2×C3×C4—22no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—22no—
1130C2×C3×C4—32no—
1131C2×C3×C4—31no—
1132C2×C3×C4—34no—
1133C2×C3×C4—32no—
1134C2×C3×C4—31no—
1135C2×C3×C4—31no—
1136C2×C3×C4—31no—
1137C2×C3×C4—31no—
1138C2×C3×C4—32no—
1139C2×C3×C4—42no—
1140C2×C3×C4—64no—
1141C2×C3×C4—64no—
1142C2×C3×C4—64no—
1143C2×C3×C4—62no—
1144C2×C3×C4—62no—
1145C2×C3×C4—122no—
1146C2×C3×C4C23×D312yes—
1147C2×C3×C4C23×D311yescharacteristic
1148C2×C3×C4C23×D311yescharacteristic
1149C2×C3×C4C23×D312yes—
1150C2×C3×C4C23×D311yescharacteristic
1151C2×C3×C4C23×D311yescharacteristic
1152#67—22no—
1153#67—24no—
1154#67—22no—
1155#67—24no—
1156#67—24no—
1157#67—38no—
1158#67—42no—
1159#67—42no—
1160#67—41no—
1161#67—42no—
1162#67—64no—
1163#67—64no—
1164#67—64no—
1165#67—62no—
1166#67—64no—
1167#67—64no—
1168#67—62no—
1169#67—62no—
1170#67—64no—
1171#67—64no—
1172#67—64no—
1173#67—124no—
1174#67—122no—
1175#67—121no—
1176#67—121no—
1177#67—122no—
1178#67—122no—
1179#67—122no—
1180#67—122no—
1181#67—124no—
1182#67—242no—
1183C2×Dic3—24no—
1184C2×Dic3—24no—
1185C2×Dic3—31no—
1186C2×Dic3—31no—
1187C2×Dic3—31no—
1188C2×Dic3—31no—
1189C2×Dic3—31no—
1190C2×Dic3—31no—
1191C2×Dic3—61no—
1192C2×Dic3—61no—
1193C2×Dic3—61no—
1194C2×Dic3—62no—
1195C2×Dic3—62no—
1196C2×Dic3C23×D312yes—
1197C2×Dic3C23×D311yescharacteristic
1198C2×Dic3C23×D311yescharacteristic
1199C2×Dic3C23×D311yescharacteristic
1200C2×Dic3C23×D311yescharacteristic
1201C2×Dic3C23×D312yes—
1202C2×Dic3C23×D312yes—
1203C2×Dic3C23×D311yescharacteristic
1204D12—22no—
1205D12—22no—
1206D12—38no—
1207D12—34no—
1208D12—34no—
1209D12—42no—
1210D12—64no—
1211D12—64no—
1212D12—64no—
1213D12—64no—
1214D12—64no—
1215D12—64no—
1216D12—64no—
1217D12—64no—
1218D12—64no—
1219D12—64no—
1220D12—62no—
1221D12—62no—
1222D12—62no—
1223D12—122no—
1224D12—124no—
1225D12—124no—
1226D12—122no—
1227C4×D3—22no—
1228C4×D3—22no—
1229C4×D3—24no—
1230C4×D3—38no—
1231C4×D3—38no—
1232C4×D3—42no—
1233C4×D3—62no—
1234C4×D3—64no—
1235C4×D3—64no—
1236C4×D3—64no—
1237C4×D3—64no—
1238C4×D3—62no—
1239C4×D3—62no—
1240C4×D3—62no—
1241C4×D3—62no—
1242C4×D3—62no—
1243C4×D3—64no—
1244C4×D3—64no—
1245C4×D3—122no—
1246C4×D3—122no—
1247C4×D3—122no—
1248C4×D3—122no—
1249C4×D3—122no—
1250C4×D3—124no—
1251C4×D3D3×D414yescomplemented
1252Dic6—22no—
1253Dic6—22no—
1254Dic6—64no—
1255Dic6—64no—
1256Dic6D3×D414yescomplemented
1257C2×C32—41no—
1258C2×C32—42no—
1259C2×C32C23×D411yescharacteristic
1260C2×C32C2×H(5,𝔽2)11yescharacteristic
1261C2×C32#58511yescharacteristic
1262C3⋊D3—22no—
1263C3⋊D3—24no—
1264C3⋊D3—42no—
1265C3×D3—22no—
1266C3×D3—41no—
1267C3×D3—41no—
1268C3×D3—42no—
1269C24—91no—
1270C24—92no—
1271C24—92no—
1272C24—92no—
1273C24—92no—
1274#41—64no—
1275#41—64no—
1276#41—64no—
1277#41—64no—
1278#41—98no—
1279#41—188no—
1280#41—188no—
1281#41—188no—
1282#41—184no—
1283#41—184no—
1284C2×Q8—31no—
1285C2×Q8—31no—
1286C2×Q8—31no—
1287C2×Q8—92no—
1288C2×Q8—184no—
1289C2×D4—32no—
1290C2×D4—31no—
1291C2×D4—31no—
1292C2×D4—32no—
1293C2×D4—32no—
1294C2×D4—32no—
1295C2×D4—31no—
1296C2×D4—32no—
1297C2×D4—32no—
1298C2×D4—31no—
1299C2×D4—31no—
1300C2×D4—32no—
1301C2×D4—92no—
1302C2×D4—91no—
1303C2×D4—92no—
1304C2×D4—92no—
1305C2×D4—92no—
1306C2×D4—92no—
1307C2×D4—92no—
1308C2×D4—92no—
1309C2×D4—91no—
1310C2×D4—92no—
1311C2×D4—91no—
1312C2×D4—92no—
1313C2×D4—92no—
1314C2×D4—91no—
1315C2×D4—92no—
1316C2×D4—92no—
1317C2×D4—91no—
1318C2×D4—184no—
1319C2×D4—184no—
1320C2×D4—188no—
1321C2×D4—184no—
1322C2×D4—188no—
1323C2×D4—184no—
1324C2×D4—188no—
1325C2×D4—188no—
1326C2×D4—364no—
1327C2×D4—364no—
1328C2×D4—364no—
1329C2×D4C2×D3211yescharacteristic
1330C2×D4C2×D3212yes—
1331C22×C4—31no—
1332C22×C4—32no—
1333C22×C4—32no—
1334C22×C4—31no—
1335C22×C4—32no—
1336C22×C4—31no—
1337C22×C4—32no—
1338C22×C4—92no—
1339C22×C4—92no—
1340C22×C4—92no—
1341C22×C4—92no—
1342C22×C4—91no—
1343C22×C4—92no—
1344C22×C4—91no—
1345C22×C4—91no—
1346C22×C4—91no—
1347C22×C4—92no—
1348C22×C4—184no—
1349C22×C4—188no—
1350C22×C4C2×D3211yescharacteristic
1351C4⋊C4—32no—
1352C4⋊C4—31no—
1353C4⋊C4—32no—
1354C4⋊C4—31no—
1355C4⋊C4—32no—
1356C4⋊C4—32no—
1357C4⋊C4—91no—
1358C4⋊C4—92no—
1359C4⋊C4—91no—
1360C4⋊C4—91no—
1361C4⋊C4—91no—
1362C4⋊C4—91no—
1363C4⋊C4C2×D3211yescharacteristic
1364C22⋊C4—31no—
1365C22⋊C4—32no—
1366C22⋊C4—32no—
1367C22⋊C4—32no—
1368C22⋊C4—32no—
1369C22⋊C4—31no—
1370C22⋊C4—92no—
1371C22⋊C4—92no—
1372C22⋊C4—92no—
1373C22⋊C4—91no—
1374C22⋊C4—92no—
1375C22⋊C4—91no—
1376C22⋊C4—92no—
1377C22⋊C4—92no—
1378C22⋊C4—91no—
1379C22⋊C4—91no—
1380C22⋊C4—91no—
1381C22⋊C4—92no—
1382C22⋊C4—91no—
1383C22⋊C4—91no—
1384C22⋊C4—92no—
1385C22⋊C4—92no—
1386C22⋊C4—91no—
1387C22⋊C4C2×D3212yes—
1388C42—32no—
1389C42—31no—
1390C42—92no—
1391C42—91no—
1392C22×C3—22no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—21no—
1396C22×C3—21no—
1397C22×C3—22no—
1398C22×C3—21no—
1399C22×C3—22no—
1400C22×C3—22no—
1401C22×C3—21no—
1402C22×C3—21no—
1403C22×C3—22no—
1404C22×C3—21no—
1405C22×C3—21no—
1406C22×C3—32no—
1407C22×C3—41no—
1408C22×C3—41no—
1409C22×C3—42no—
1410C22×C3—42no—
1411C22×C3—42no—
1412C22×C3—61no—
1413C22×C3—61no—
1414C22×C3—61no—
1415C22×C3—62no—
1416C22×C3—61no—
1417C22×C3—61no—
1418C22×C3—62no—
1419C22×C3—61no—
1420C22×C3—61no—
1421C22×C3—61no—
1422C22×C3—62no—
1423C22×C3C24×D311yescharacteristic
1424C22×C3C24×D311yescharacteristic
1425C2×D3—21no—
1426C2×D3—21no—
1427C2×D3—21no—
1428C2×D3—21no—
1429C2×D3—22no—
1430C2×D3—21no—
1431C2×D3—22no—
1432C2×D3—21no—
1433C2×D3—22no—
1434C2×D3—21no—
1435C2×D3—21no—
1436C2×D3—34no—
1437C2×D3—34no—
1438C2×D3—32no—
1439C2×D3—32no—
1440C2×D3—64no—
1441C2×D3—62no—
1442C2×D3—61no—
1443C2×D3—61no—
1444C2×D3—61no—
1445C2×D3—62no—
1446C2×D3—62no—
1447C2×D3—62no—
1448C2×D3—61no—
1449C2×D3—62no—
1450C2×D3—62no—
1451C2×D3—62no—
1452C2×D3—62no—
1453C2×D3—62no—
1454C2×D3—62no—
1455C2×D3—62no—
1456C2×D3—121no—
1457C2×D3—122no—
1458C2×D3—121no—
1459C2×D3—122no—
1460C2×D3—122no—
1461C2×D3—122no—
1462C2×D3—122no—
1463C2×D3—124no—
1464C2×D3—124no—
1465C2×D3—128no—
1466C2×D3—128no—
1467C2×D3—248no—
1468C2×D3—244no—
1469C2×D3—244no—
1470C2×D3—244no—
1471C2×D3—244no—
1472C2×D3—244no—
1473C2×D3—244no—
1474C2×D3—248no—
1475C2×D3C2×D3×D412yes—
1476C3×C4—21no—
1477C3×C4—21no—
1478C3×C4—22no—
1479C3×C4—22no—
1480C3×C4—22no—
1481C3×C4—34no—
1482C3×C4—32no—
1483C3×C4—42no—
1484C3×C4—41no—
1485C3×C4—62no—
1486C3×C4—61no—
1487C3×C4—61no—
1488C3×C4—61no—
1489C3×C4—62no—
1490C3×C4—61no—
1491C3×C4C2×D3×D412yes—
1492C3×C4C2×D3×D412yes—
1493Dic3—22no—
1494Dic3—21no—
1495Dic3—21no—
1496Dic3—21no—
1497Dic3—22no—
1498Dic3—21no—
1499Dic3—62no—
1500Dic3—61no—
1501Dic3—61no—
1502Dic3—61no—
1503Dic3—61no—
1504Dic3—61no—
1505Dic3—61no—
1506Dic3—121no—
1507Dic3—121no—
1508Dic3C2×D3×D412yes—
1509Dic3C2×D3×D414yes—
1510C32#348811yescharacteristic, complemented, Sylow
1511C23—31no—
1512C23—31no—
1513C23—32no—
1514C23—31no—
1515C23—92no—
1516C23—91no—
1517C23—92no—
1518C23—184no—
1519C23—184no—
1520C23—184no—
1521C23—182no—
1522C23—184no—
1523C23—182no—
1524C23—184no—
1525C23—362no—
1526C23—362no—
1527C23—362no—
1528C23—361no—
1529C23—362no—
1530C23—362no—
1531C23—362no—
1532C23—362no—
1533C23C22×D3211yescharacteristic
1534C23C22×D3212yes—
1535Q8—34no—
1536Q8—62no—
1537Q8—62no—
1538Q8—184no—
1539D4—22no—
1540D4—42no—
1541D4—62no—
1542D4—62no—
1543D4—64no—
1544D4—64no—
1545D4—62no—
1546D4—64no—
1547D4—62no—
1548D4—98no—
1549D4—94no—
1550D4—122no—
1551D4—122no—
1552D4—122no—
1553D4—122no—
1554D4—121no—
1555D4—184no—
1556D4—184no—
1557D4—184no—
1558D4—184no—
1559D4—184no—
1560D4—184no—
1561D4—184no—
1562D4—182no—
1563D4—184no—
1564D4—182no—
1565D4—182no—
1566D4—362no—
1567D4—362no—
1568D4—362no—
1569D4—361no—
1570C2×C4—22no—
1571C2×C4—32no—
1572C2×C4—31no—
1573C2×C4—34no—
1574C2×C4—31no—
1575C2×C4—31no—
1576C2×C4—32no—
1577C2×C4—31no—
1578C2×C4—32no—
1579C2×C4—31no—
1580C2×C4—64no—
1581C2×C4—64no—
1582C2×C4—64no—
1583C2×C4—62no—
1584C2×C4—62no—
1585C2×C4—98no—
1586C2×C4—91no—
1587C2×C4—91no—
1588C2×C4—91no—
1589C2×C4—122no—
1590C2×C4—182no—
1591C2×C4—184no—
1592C2×C4—184no—
1593C2×C4—182no—
1594C2×C4—184no—
1595C2×C4—182no—
1596C2×C4—182no—
1597C2×C4—362no—
1598C2×C4—362no—
1599C2×C4C22×D3212yes—
1600C2×C4C22×D3211yescharacteristic
1601C2×C4C22×D3211yescharacteristic
1602C2×C3—21no—
1603C2×C3—21no—
1604C2×C3—21no—
1605C2×C3—42no—
1606C2×C3—42no—
1607C2×C3—41no—
1608C2×C3—42no—
1609C2×C3—41no—
1610C2×C3—62no—
1611C2×C3—82no—
1612C2×C3—121no—
1613C2×C3—122no—
1614C2×C3—121no—
1615C2×C3C22×D3×D411yescharacteristic
1616C2×C3C22×D3×D411yescharacteristic
1617C2×C3#596411yescharacteristic
1618C2×C3D3×H(5,𝔽2)11yescharacteristic
1619C2×C3D3×H(5,𝔽2)11yescharacteristic
1620C2×C3#596811yescharacteristic
1621D3—22no—
1622D3—41no—
1623D3—41no—
1624D3—42no—
1625D3—62no—
1626D3—64no—
1627D3—62no—
1628D3—64no—
1629D3—122no—
1630D3—124no—
1631D3—122no—
1632D3—122no—
1633D3—242no—
1634C22—21no—
1635C22—22no—
1636C22—21no—
1637C22—22no—
1638C22—22no—
1639C22—21no—
1640C22—32no—
1641C22—61no—
1642C22—61no—
1643C22—61no—
1644C22—62no—
1645C22—61no—
1646C22—62no—
1647C22—61no—
1648C22—61no—
1649C22—61no—
1650C22—62no—
1651C22—61no—
1652C22—94no—
1653C22—92no—
1654C22—181no—
1655C22—182no—
1656C22—181no—
1657C22—182no—
1658C22—182no—
1659C22—182no—
1660C22—182no—
1661C22—368no—
1662C22—364no—
1663C22—724no—
1664C22—724no—
1665C22—724no—
1666C22C23×D3211yescharacteristic
1667C4—21no—
1668C4—22no—
1669C4—32no—
1670C4—34no—
1671C4—61no—
1672C4—61no—
1673C4—62no—
1674C4—62no—
1675C4—61no—
1676C4—61no—
1677C4—181no—
1678C4—181no—
1679C4—181no—
1680C4D32×D412yes—
1681C3—21no—
1682C3#8637911yescharacteristic, complemented
1683C3#8676911yescharacteristic, complemented
1684C2—42no—
1685C2—41no—
1686C2—62no—
1687C2—121no—
1688C2—122no—
1689C2—121no—
1690C2—182no—
1691C2—184no—
1692C2—362no—
1693C2C2×D32×D411yescharacteristic
1694C2#1059667511yescharacteristic
1695C2#1059669711yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×#121C22
hypercenter#121D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #121

Complements

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

NH ≅ G/Ntype
1. C2×#64312C2semidirect
2. C2×#64308C2semidirect
3. #10596080C2semidirect
4. C3×#5608C2semidirect
5. C3×#5599C2semidirect
6. #10595303C2semidirect
7. #10595299C2semidirect
8. #10595298C2semidirect
9. #10595297C2semidirect
10. #10595297C2semidirect
11. #10595296C2semidirect
12. #10595236C2semidirect
13. #10595060C2semidirect
14. #10595018C2semidirect
15. #10594830C2semidirect
16. #10594633C2semidirect
17. D3×#895C2semidirect
18. #10594329C2semidirect
19. #10594327C2semidirect
20. #10594284C2semidirect
21. #10594283C2semidirect
22. #10594069C2semidirect
23. #10594066C2semidirect
26. C2×D4×C3⋊D3C22semidirect
27. C2×D4×C3⋊D3C22semidirect
28. C22×C4⋊(C3⋊D3)C22semidirect
29. C2×C3×#237C22semidirect
30. C2×C3×#237C22semidirect
31. C2×C3×#235C22semidirect
32. C2×C3×#235C22semidirect
33. C2×#3811C22semidirect
34. C2×#3811C22semidirect
35. C2×#3811C22semidirect
36. C2×#3811C22semidirect
37. C22×#624C22semidirect
38. C2×#3804C22semidirect
39. C2×#3804C22semidirect
42. C2×D3×D12C22semidirect
43. C2×D3×D12C22semidirect
44. C2×D3×D12C22semidirect
45. C2×D3×D12C22semidirect
46. C2×C4×D32C22semidirect
48. C2×#3799C22semidirect
49. C2×#3799C22semidirect
50. C2×#3799C22semidirect
51. C2×#3797C22semidirect
52. C32×#121C22semidirect
53. #64149C22semidirect
54. #64146C22semidirect
55. C4×#638C22semidirect
56. #64104C22semidirect
57. #64102C22semidirect
58. #64093C22semidirect
59. #64091C22semidirect
60. C3×#940C22semidirect
61. C3×#940C22semidirect
62. C3×#939C22semidirect
63. C3×#939C22semidirect
64. C3×#938C22semidirect
65. C3×#938C22semidirect
66. C3×C4×#67C22semidirect
67. C3×#924C22semidirect
68. C3×#897C22semidirect
69. C3×#895C22semidirect
70. C3×D3×C4⋊C4C22semidirect
71. C3×#887C22semidirect
72. C3×#884C22semidirect
73. C3×#884C22semidirect
74. C3×#67⋊C4C22semidirect
75. C3×#878C22semidirect
76. #63983C22semidirect
77. #63983C22semidirect
78. #63983C22semidirect
79. #63983C22semidirect
80. #63981C22semidirect
81. #63981C22semidirect
82. #63979C22semidirect
83. #63978C22semidirect
84. #63978C22semidirect
85. #63978C22semidirect
86. #63974C22semidirect
87. #63970C22semidirect
88. #63969C22semidirect
89. #63959C22semidirect
90. #63958C22semidirect
91. #63958C22semidirect
92. #63958C22semidirect
93. #63958C22semidirect
94. #63952C22semidirect
95. #63922C22semidirect
96. #63922C22semidirect
97. #63921C22semidirect
98. D3×(C2×D3)⋊C4C22semidirect
99. #63916C22semidirect
100. #63916C22semidirect
101. #63910C22semidirect
102. #63910C22semidirect
103. #63910C22semidirect
104. #63909C22semidirect
105. #63904C22semidirect
106. #63904C22semidirect
107. C4×#626C22semidirect
108. C4×#626C22semidirect
109. C4×#625C22semidirect
110. #63897C22semidirect
111. #63895C22semidirect
112. #63894C22semidirect
113. #63894C22semidirect
114. #63888C22semidirect
115. #63887C22semidirect
116. #63886C22semidirect
117. #63884C22semidirect
118. #63883C22semidirect
119. #63864C22semidirect
120. #63863C22semidirect
121. #63855C22semidirect
122. #63854C22semidirect
123. #63852C22semidirect
124. #63851C22semidirect
125. #63843C22semidirect
126. #63836C22semidirect
159. #5608D3semidirect
165. #5599D3semidirect
254. #3799D4semidirect
314. C2×#237C2×D3semidirect
315. C2×#237C2×D3semidirect
340. C2×#235C2×D3semidirect
341. C2×#235C2×D3semidirect
366. C3×#121C2×D3semidirect
367. C3×#121C2×D3semidirect
382. #940C2×D3semidirect
383. #940C2×D3semidirect
389. #939C2×D3semidirect
390. #939C2×D3semidirect
398. #938C2×D3semidirect
399. #938C2×D3semidirect
433. C4×#67C2×D3semidirect
437. #924C2×D3semidirect
439. #897C2×D3semidirect
453. #895C2×D3semidirect
468. D3×C4⋊C4C2×D3semidirect
470. #887C2×D3semidirect
483. #884C2×D3semidirect
484. #884C2×D3semidirect
495. #67⋊C4C2×D3semidirect
502. #878C2×D3semidirect
551. C4⋊(C3⋊D3)C2×D4semidirect
580. C3×C4×D3C2×D4semidirect
583. C3×Dic6C2×D4semidirect
592. #626C2×D4semidirect
599. #624C2×D4semidirect
914. C2×C3⋊D3H(5,𝔽2)semidirect
1013. #121D32semidirect
1251. C4×D3D3×D4semidirect
1256. Dic6D3×D4semidirect
1510. C32#3488semidirect
1682. C3#86379semidirect
1683. C3#86769semidirect

Maximal subgroups

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

subgroupindex
C2×#643122
C2×#643082
#105960802
C3×#56082
C3×#55992
#105953032
#105952992
#105952982
#105952972
#105952962
#105952362
#105950602
#105950182
#105948302
#105946332
D3×#8952
#105943292
#105943272
#105942842
#105942832
#105940692
#105940662
#867693
#863793