Finite Group Databasebeta

← #11904675

Subgroups — #11904675

Order 1152.

3483 conjugacy classes of subgroups.

The subgroup lattice has 1765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64314C211yesmaximal, characteristic, complemented
2C2×D3×#235C211yesmaximal, characteristic, complemented
3#10596078C211yesmaximal, characteristic, complemented
4C3×#5608C211yesmaximal, characteristic, complemented
5C3×D3×#121C211yesmaximal, characteristic, complemented
6#10595301C211yesmaximal, characteristic, complemented
7#10595296C212yesmaximal, complemented
8#10595291C212yesmaximal, complemented
9#10595288C212yesmaximal, complemented
10#10595282C211yesmaximal, characteristic, complemented
11#10595269C212yesmaximal, complemented
12#10595231C211yesmaximal, characteristic, complemented
13#10595064C211yesmaximal, characteristic, complemented
14#10595005C211yesmaximal, characteristic, complemented
15#10594923C211yesmaximal, characteristic, complemented
16#10594632C211yesmaximal, characteristic, complemented
17D3×#895C211yesmaximal, characteristic, complemented
18#10594523C211yesmaximal, characteristic, complemented
19#10594509C211yesmaximal, characteristic, complemented
20#10594284C212yesmaximal, complemented
21#10594273C212yesmaximal, complemented
22#10594187C212yesmaximal, complemented
23#10594074C212yesmaximal, complemented
24#86379—31nomaximal
25#85949—31nomaximal
26C2×D4×C3⋊D3C2211yescharacteristic, complemented
27C2×#3828C2211yescharacteristic, complemented
28C2×C3×#237C2211yescharacteristic, complemented
29C2×C3×D3×D4C2211yescharacteristic, complemented
30C2×C3×D3×D4C2212yescomplemented
31C2×C3×#235C2211yescharacteristic, complemented
32C22×C3×C4×D3C2211yescharacteristic, complemented
33C2×#3811C2212yescomplemented
34C2×#3811C2212yescomplemented
35C2×D3×#67C2211yescharacteristic, complemented
36C2×D3×#67C2211yescharacteristic, complemented
37C2×D3×#67C2212yescomplemented
38C22×#626C2212yescomplemented
39C2×#3804C2212yescomplemented
40C2×#3804C2211yescharacteristic, complemented
41C2×#3804C2211yescharacteristic, complemented
42#64314—28no—
43D3×#235—28no—
44C2×D3×D12C2211yescharacteristic, complemented
45C2×D3×D12C2211yescharacteristic, complemented
46C2×D3×D12C2212yescomplemented
47C2×C4×D32C2211yescharacteristic, complemented
48C2×C4×D32C2211yescharacteristic, complemented
49C2×#3799C2211yescharacteristic, complemented
50C2×#3799C2211yescharacteristic, complemented
51C2×#3798C2211yescharacteristic
52C2×#3798C2211yescharacteristic, complemented
53C2×#3796C2211yescharacteristic, complemented
54C2×#3795C2211yescharacteristic, complemented
55C2×D3×Dic6C2211yescharacteristic, complemented
56C32×#121C2211yescharacteristic, complemented
57#64149C2212yescomplemented
58#64147C2211yescharacteristic, complemented
59#64146C2212yescomplemented
60#64139C2211yescharacteristic, complemented
61#64104C2211yescharacteristic, complemented
62#64101C2211yescharacteristic, complemented
63#64094C2212yescomplemented
64#64091C2212yescomplemented
65C3×#939C2212yescomplemented
66C3×#939C2212yescomplemented
67C3×#938C2211yescharacteristic, complemented
68C3×#938C2211yescharacteristic, complemented
69C3×#938C2212yescomplemented
70C3×#930C2211yescharacteristic, complemented
71C3×#924C2211yescharacteristic, complemented
72C3×#897C2211yescharacteristic, complemented
73C3×#895C2211yescharacteristic, complemented
74C3×D3×C4⋊C4C2211yescharacteristic, complemented
75C3×D3×C4⋊C4C2211yescharacteristic, complemented
76C3×#884C2212yescomplemented
77C3×#884C2212yescomplemented
78C3×D3×C22⋊C4C2212yescomplemented
79C3×#878C2212yescomplemented
80#63983C2212yescomplemented
81#63983C2212yescomplemented
82#63979C2212yescomplemented
83#63979C2212yescomplemented
84#63977C2212yescomplemented
85#63977C2212yescomplemented
86#63976C2212yescomplemented
87#63974C2212yescomplemented
88Dic3×#67C2212yescomplemented
89#63971C2212yescomplemented
90#63971C2212yescomplemented
91#63971C2212yescomplemented
92#63969C2212yescomplemented
93#63959C2212yescomplemented
94#63958C2212yescomplemented
95#63952C2212yescomplemented
96#63952C2212yescomplemented
97#63922C2212yescomplemented
98#63922C2212yescomplemented
99D3×(C2×D3)⋊C4C2212yescomplemented
100#63916C2211yescharacteristic, complemented
101#63910C2212yescomplemented
102#63910C2212yescomplemented
103#63910C2212yescomplemented
104#63909C2211yescharacteristic, complemented
105#63909C2212yescomplemented
106#63909C2211yescharacteristic, complemented
107#63908C2211yescharacteristic, complemented
108#63907C2212yescomplemented
109#63906C2212yescomplemented
110#63904C2212yescomplemented
111#63904C2212yescomplemented
112#63904C2212yescomplemented
113#63902C2212yescomplemented
114C4×#625C2212yescomplemented
115#63900C2211yescharacteristic, complemented
116#63898C2212yescomplemented
117#63896C2212yescomplemented
118#63895C2212yescomplemented
119#63886C2212yescomplemented
120#63871C2211yescharacteristic, complemented
121#63856C2211yescharacteristic, complemented
122#63854C2212yescomplemented
123#63850C2212yescomplemented
124#63841C2211yescharacteristic, complemented
125#63841C2211yescharacteristic, complemented
126#63838C2212yescomplemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C2×#1004—31no—
130C22×#235—31no—
131C3×#537—31no—
132C2×C3×#121—31no—
133#5830—31no—
134#5828—31no—
135#5805—31no—
136D4×#67—32no—
137D4×#67—32no—
138#5791—31no—
139#5633—32no—
140#5630—32no—
141#5629—31no—
142#5629—31no—
143#5627—31no—
144#5627—31no—
145#5612—32no—
146#5610—32no—
147#5610—32no—
148#5609—32no—
149#5609—32no—
150#5609—32no—
151#5609—32no—
152#5608—31no—
153#5608D311yescharacteristic, complemented
154#5607—31no—
155#5607—31no—
156#5607—31no—
157#5607—31no—
158#5607—61no—
159#5606—31no—
160#5606—31no—
161D3×#121—31no—
162D3×#121—31no—
163D3×#121—31no—
164D3×#121D311yescharacteristic, complemented
165#5599—32no—
166#5599—32no—
167#5598—32no—
168#5510—31no—
169C2×#895—31no—
170#5504—31no—
171#5504—31no—
172#5490—32no—
173#5490—32no—
174C23×C3⋊D3C2312yes—
175C23×C3×D3C2311yescharacteristic
176C23×C3×D3C2312yes—
177C22×D32C2311yescharacteristic
178C22×D32C2311yescharacteristic
179C22×D32C2312yes—
180C2×C32×D4C2311yescharacteristic
181C2×C32×D4C2312yes—
182C22×C32×C4C2311yescharacteristic
183C2×#638C2312yes—
184C2×#638C2311yescharacteristic
185C2×#638C2311yescharacteristic
186C2×#638C2312yes—
187C2×#638C2312yes—
188D4×C3⋊D3—24no—
189#3828—24no—
190C2×C4⋊(C3⋊D3)C2311yescharacteristic
191C2×C4⋊(C3⋊D3)C2311yescharacteristic
192C2×C4⋊(C3⋊D3)C2312yes—
193C2×C4×C3⋊D3C2311yescharacteristic
194C2×C4×C3⋊D3C2311yescharacteristic
195C2×#634C2311yescharacteristic
196C2×C3×#67C2312yes—
197C2×C3×#67C2312yes—
198C2×C3×#67C2312yes—
199C2×C3×#67C2311yescharacteristic
200C2×C3×#67C2311yescharacteristic
201C2×C3×#67C2312yes—
202C2×C3×#67C2312yes—
203C22×C3×Dic3C2312yes—
204C22×C3×Dic3C2311yescharacteristic
205C3×#237—24no—
206C3×D3×D4—24no—
207C3×D3×D4—44no—
208C3×#235—24no—
209C2×C3×D12C2311yescharacteristic
210C2×C3×D12C2312yes—
211C2×C3×D12C2311yescharacteristic
212C2×C3×C4×D3—24no—
213C2×C3×C4×D3C2311yescharacteristic
214C2×C3×C4×D3C2311yescharacteristic
215C2×C3×C4×D3C2311yescharacteristic
216C2×C3×C4×D3C2311yescharacteristic
217C2×C3×C4×D3C2312yes—
218C2×C3×C4×D3C2312yes—
219C2×C3×C4×D3C2311yescharacteristic
220C2×C3×C4×D3C2311yescharacteristic
221C2×C3×Dic6C2311yescharacteristic
222C2×C3×Dic6C2311yescharacteristic
223#3811—28no—
224#3811—44no—
225D3×#67—24no—
226D3×#67—24no—
227D3×#67—28no—
228C2×#627C2311yescharacteristic
229C2×#627C2311yescharacteristic
230C2×#626—28no—
231C2×#626C2312yes—
232C2×#626C2311yescharacteristic
233C2×#626C2311yescharacteristic
234C2×#626C2312yes—
235C2×#626C2312yes—
236C2×#626C2312yes—
237C2×#626C2312yes—
238C2×#626C2312yes—
239C2×#626C2311yescharacteristic
240C2×#626C2311yescharacteristic
241C2×#625C2311yescharacteristic
242C2×#625C2312yes—
243C2×#625C2311yescharacteristic
244C2×#624C2311yescharacteristic
245C2×#624C2311yescharacteristic
246C2×#624C2312yes—
247C2×#624C2312yes—
248#3804—24no—
249#3804—28no—
250#3804—24no—
251C2×D3×Dic3C2311yescharacteristic
252C2×D3×Dic3C2311yescharacteristic
253C2×D3×Dic3C2311yescharacteristic
254C2×D3×Dic3C2311yescharacteristic
255C2×D3×Dic3C2312yes—
256D3×D12—24no—
257D3×D12—24no—
258D3×D12—44no—
259C4×D32—24no—
260C4×D32—24no—
261#3799—24no—
262#3799—24no—
263#3798—24no—
264#3798D418yescomplemented
265#3796—24no—
266#3795—24no—
267D3×Dic6—24no—
268C32×C4⋊C4C2311yescharacteristic
269C32×C22⋊C4C2312yes—
270#3757C2312yes—
271#3752C2312yes—
272#3752C2312yes—
273#3752C2312yes—
274C4⋊(C3⋊Dic3)C2311yescharacteristic
275C4×C3⋊Dic3C2312yes—
276C3×#217C2312yes—
277C3×#217C2312yes—
278C3×#217C2312yes—
279C3×(C2×D3)⋊C4C2312yes—
280C3×(C2×D3)⋊C4C2312yes—
281C3×(C2×D3)⋊C4C2312yes—
282C3×C4⋊Dic3C2312yes—
283C3×C4⋊Dic3C2311yescharacteristic
284C3×C4⋊Dic3C2311yescharacteristic
285C3×Dic3⋊C4C2312yes—
286C3×Dic3⋊C4C2312yes—
287C3×Dic3⋊C4C2312yes—
288#3724C2312yes—
289#3724C2312yes—
290Dic3⋊Dic3C2312yes—
291#3722C2312yes—
292#3722C2312yes—
293#3722C2312yes—
294(C2×D3)⋊Dic3C2312yes—
295(C2×D3)⋊Dic3C2312yes—
296(C2×D3)⋊Dic3C2312yes—
297(C2×D3)⋊Dic3C2312yes—
298(C2×D3)⋊Dic3C2312yes—
299Dic32C2312yes—
300Dic32C2312yes—
301#3488—91noSylow
302C2×C3×#41—31no—
303C2×C3×#41—31no—
304C22×C3×D4—31no—
305C22×C3×D4—32no—
306C23×C3×C4—31no—
307C22×#67—31no—
308C22×#67—31no—
309C22×#67—32no—
310C22×#67—32no—
311#1009—68no—
312D3×#41—68no—
313C2×#239—31no—
314C2×#239—31no—
315C2×#239—31no—
316C2×D3×Q8—31no—
317#1004—68no—
318C2×#237—32no—
319C2×#237—31no—
320C2×#237—31no—
321C2×#237—31no—
322C2×#237—31no—
323C2×#237C2×D311yescharacteristic, complemented
324C2×D3×D4—31no—
325C2×D3×D4—31no—
326C2×D3×D4—32no—
327C2×D3×D4—31no—
328C2×D3×D4—31no—
329C2×D3×D4—32no—
330C2×D3×D4—32no—
331C2×D3×D4—32no—
332C2×D3×D4—32no—
333C2×D3×D4—31no—
334C2×D3×D4—31no—
335C2×D3×D4—32no—
336C2×D3×D4—61no—
337C2×D3×D4C2×D311yescharacteristic, complemented
338C2×D3×D4C2×D312yescomplemented
339C2×#235—31no—
340C2×#235—31no—
341C2×#235—32no—
342C2×#235—31no—
343C2×#235—31no—
344C2×#235—31no—
345C2×#235—31no—
346C2×#235—31no—
347C2×#235—31no—
348C2×#235—31no—
349C2×#235—31no—
350C2×#235—31no—
351C2×#235—61no—
352C2×#235—68no—
353C2×#235C2×D311yescharacteristic, complemented
354C22×D12—32no—
355C22×D12—31no—
356C22×D12—31no—
357C22×D12—32no—
358C22×C4×D3—31no—
359C22×C4×D3—31no—
360C22×C4×D3—31no—
361C22×C4×D3—31no—
362C22×C4×D3C2×D311yescharacteristic, complemented
363C22×Dic6—31no—
364C3×C22⋊Q8—31no—
365C3×C22⋊Q8—31no—
366C3×C22⋊Q8—32no—
367C3×#121—21no—
368C3×#121—31no—
369C3×#121—31no—
370C3×#121—32no—
371C3×#121—32no—
372C3×#121—32no—
373C3×#121—31no—
374C3×#121—31no—
375C3×#121—32no—
376C3×#121—32no—
377C3×#121C2×D311yescharacteristic, complemented
378C3×#121C2×D311yescharacteristic, complemented
379C2×C3×C4⋊C4—31no—
380C2×C3×C4⋊C4—31no—
381C2×C3×C22⋊C4—32no—
382#953—32no—
383#953—32no—
384#953—32no—
385#947—32no—
386#946—31no—
387#946—31no—
388#940—32no—
389#940—32no—
390#940—32no—
391#940—32no—
392#940—32no—
393#940—32no—
394#940—62no—
395#939—32no—
396#939—32no—
397#939—32no—
398#939—32no—
399#939C2×D312yescomplemented
400#939C2×D312yescomplemented
401#938—31no—
402#938—31no—
403#938—31no—
404#938—32no—
405#938—31no—
406#938—61no—
407#938C2×D312yescomplemented
408#938C2×D311yescharacteristic, complemented
409#938C2×D311yescharacteristic, complemented
410#937—32no—
411#937—32no—
412#937—32no—
413#937—32no—
414#937—32no—
415#937—32no—
416#937—32no—
417#937—32no—
418#937—32no—
419#937—62no—
420#936—32no—
421#935—32no—
422D4×Dic3—32no—
423D4×Dic3—32no—
424#930—31no—
425#930—31no—
426#930—31no—
427#930—32no—
428#930—32no—
429#930—31no—
430#930—31no—
431#930—61no—
432#930C2×D311yescharacteristic, complemented
433#929—32no—
434C4×#67—32no—
435C4×#67—32no—
436C4×#67—32no—
437C4×#67—32no—
438C4×#67—32no—
439C4×#67—32no—
440C4×#67—32no—
441C4×#67—32no—
442C2×(C2×D3)⋊C4—32no—
443#926—31no—
444#926—31no—
445#924—31no—
446#924C2×D311yescharacteristic, complemented
447#897—31no—
448#897—32no—
449#897C2×D311yescharacteristic, complemented
450#896—32no—
451#896—32no—
452#895—32no—
453#895—31no—
454#895—31no—
455#895—31no—
456#895—32no—
457#895—31no—
458#895—31no—
459#895—32no—
460#895—32no—
461#895—32no—
462#895—61no—
463#895C2×D311yescharacteristic, complemented
464#894—32no—
465#894—32no—
466#893—32no—
467#893—32no—
468#893—32no—
469#893—32no—
470#892—31no—
471#892—31no—
472#892—31no—
473#892—31no—
474#892—61no—
475D3×C4⋊C4—31no—
476D3×C4⋊C4—31no—
477D3×C4⋊C4C2×D311yescharacteristic, complemented
478D3×C4⋊C4C2×D311yescharacteristic, complemented
479#887—32no—
480#887—32no—
481#885—32no—
482#885—32no—
483#885—32no—
484#885—32no—
485#885—62no—
486#884—32no—
487#884—32no—
488#884—32no—
489#884—32no—
490#884—32no—
491#884—32no—
492#884—32no—
493#884—32no—
494#884C2×D312yescomplemented
495#884C2×D312yescomplemented
496#883—32no—
497#883—32no—
498#882—32no—
499#882—32no—
500#882—32no—
501#882—32no—
502#882—32no—
503#882—32no—
504#882—62no—
505#67⋊C4—32no—
506#67⋊C4—32no—
507#67⋊C4—32no—
508#67⋊C4—32no—
509D3×C22⋊C4—32no—
510D3×C22⋊C4—32no—
511D3×C22⋊C4—32no—
512D3×C22⋊C4C2×D312yescomplemented
513#878—32no—
514#878C2×D312yescomplemented
515C23×C32C2412yes—
516C23×C32C2411yescharacteristic
517C22×C3⋊D3—24no—
518C22×C3⋊D3—42no—
519C22×C3⋊D3—42no—
520C22×C3⋊D3C2412yes—
521C22×C3⋊D3C2411yescharacteristic
522C22×C3⋊D3C2411yescharacteristic
523C22×C3×D3—22no—
524C22×C3×D3—22no—
525C22×C3×D3—24no—
526C22×C3×D3—41no—
527C22×C3×D3—42no—
528C22×C3×D3—42no—
529C22×C3×D3C2412yes—
530C22×C3×D3C2411yescharacteristic
531C22×C3×D3C2411yescharacteristic
532C22×C3×D3C2411yescharacteristic
533C22×C3×D3C2411yescharacteristic
534C2×D32—22no—
535C2×D32—22no—
536C2×D32—22no—
537C2×D32—22no—
538C2×D32—24no—
539C2×D32—41no—
540C2×D32—41no—
541C2×D32—42no—
542C2×D32—42no—
543C32×D4—22no—
544C32×D4—42no—
545C2×C32×C4—22no—
546C2×C32×C4C2412yes—
547C2×C32×C4C2411yescharacteristic
548C2×C32×C4C2411yescharacteristic
549#638—22no—
550#638—22no—
551#638—24no—
552#638—42no—
553#638—42no—
554C2×C3⋊Dic3C2412yes—
555C2×C3⋊Dic3C2411yescharacteristic
556C2×C3⋊Dic3C2411yescharacteristic
557C4⋊(C3⋊D3)—22no—
558C4⋊(C3⋊D3)—22no—
559C4⋊(C3⋊D3)—42no—
560C4×C3⋊D3—22no—
561C4×C3⋊D3C2×D414yescomplemented
562#634—22no—
563C3×#67—22no—
564C3×#67—24no—
565C3×#67—24no—
566C3×#67—22no—
567C3×#67—24no—
568C3×#67—42no—
569C3×#67—42no—
570C2×C3×Dic3—22no—
571C2×C3×Dic3—24no—
572C2×C3×Dic3C2412yes—
573C2×C3×Dic3C2412yes—
574C2×C3×Dic3C2411yescharacteristic
575C2×C3×Dic3C2412yes—
576C2×C3×Dic3C2411yescharacteristic
577C2×C3×Dic3C2411yescharacteristic
578C2×C3×Dic3C2411yescharacteristic
579C3×D12—22no—
580C3×D12—24no—
581C3×D12—22no—
582C3×C4×D3—22no—
583C3×C4×D3—22no—
584C3×C4×D3—22no—
585C3×C4×D3—22no—
586C3×C4×D3—42no—
587C3×C4×D3—42no—
588C3×C4×D3C2×D414yescomplemented
589C3×C4×D3C2×D414yescomplemented
590C3×Dic6—22no—
591C3×Dic6—22no—
592#627—22no—
593#627C2×D414yescomplemented
594#626—24no—
595#626—22no—
596#626—24no—
597#626—24no—
598#626—22no—
599#626—24no—
600#626—42no—
601#626—42no—
602#626C2×D414yescomplemented
603#626C2×D414yescomplemented
604#625—22no—
605#625—42no—
606#625C2×D414yescomplemented
607#624—22no—
608#624—22no—
609#624—24no—
610#624—42no—
611D3×Dic3—22no—
612D3×Dic3—22no—
613D3×Dic3—22no—
614D3×Dic3—24no—
615D3×Dic3—22no—
616C2×H(5,𝔽2)—91no—
617C22×#41—91no—
618#550—92no—
619#548—92no—
620#546—92no—
621#546—92no—
622#546—92no—
623D42—92no—
624D42—92no—
625D42—92no—
626#537—31no—
627#537—91no—
628#537—91no—
629#535—91no—
630#535—91no—
631#535—91no—
632#525—91no—
633#525—91no—
634#525—91no—
635C2×#121—31no—
636C2×#121—91no—
637C2×#121—91no—
638#520—91no—
639C24×C3—31no—
640C24×C3—32no—
641C23×D3—32no—
642C23×D3—32no—
643C23×D3—31no—
644C23×D3—31no—
645C23×D3—31no—
646C23×D3—31no—
647C23×D3—32no—
648C23×D3—32no—
649C23×D3—62no—
650C23×D3C22×D311yescharacteristic
651C23×D3C22×D312yes—
652C3×#41—64no—
653C3×#41—64no—
654C2×C3×Q8—31no—
655C2×C3×Q8—31no—
656C2×C3×D4—21no—
657C2×C3×D4—22no—
658C2×C3×D4—32no—
659C2×C3×D4—32no—
660C2×C3×D4—32no—
661C2×C3×D4—31no—
662C2×C3×D4—31no—
663C2×C3×D4—32no—
664C2×C3×D4—32no—
665C2×C3×D4—32no—
666C2×C3×D4—31no—
667C2×C3×D4—31no—
668C2×C3×D4—64no—
669C2×C3×D4—124no—
670C2×C3×D4C22×D311yescharacteristic
671C2×C3×D4C22×D311yescharacteristic
672C2×C3×D4C22×D312yes—
673C2×C3×D4C22×D312yes—
674C22×C3×C4—21no—
675C22×C3×C4—31no—
676C22×C3×C4—31no—
677C22×C3×C4—31no—
678C22×C3×C4—32no—
679C22×C3×C4—31no—
680C22×C3×C4—31no—
681C22×C3×C4—31no—
682C22×C3×C4—31no—
683C22×C3×C4—32no—
684C22×C3×C4—32no—
685C22×C3×C4—64no—
686C22×C3×C4C22×D311yescharacteristic
687C22×C3×C4C22×D311yescharacteristic
688C2×#67—31no—
689C2×#67—31no—
690C2×#67—31no—
691C2×#67—31no—
692C2×#67—32no—
693C2×#67—32no—
694C2×#67—31no—
695C2×#67—31no—
696C2×#67—31no—
697C2×#67—31no—
698C2×#67—32no—
699C2×#67—32no—
700C2×#67—32no—
701C2×#67—32no—
702C2×#67—32no—
703C2×#67—32no—
704C2×#67—31no—
705C2×#67—31no—
706C2×#67—32no—
707C2×#67—31no—
708C2×#67—32no—
709C2×#67—32no—
710C2×#67—32no—
711C2×#67—31no—
712C2×#67—32no—
713C2×#67—32no—
714C2×#67—62no—
715C2×#67—61no—
716C2×#67—61no—
717C2×#67—62no—
718C2×#67—62no—
719C2×#67—68no—
720C2×#67—64no—
721C2×#67—64no—
722C2×#67—68no—
723C2×#67C22×D312yes—
724C2×#67C22×D312yes—
725C2×#67C22×D312yes—
726C2×#67C22×D311yescharacteristic
727C2×#67C22×D311yescharacteristic
728C2×#67C22×D312yes—
729C2×#67C22×D312yes—
730C22×Dic3—32no—
731C22×Dic3—31no—
732C22×Dic3—31no—
733C22×Dic3—31no—
734C22×Dic3—31no—
735C22×Dic3C22×D312yes—
736C22×Dic3C22×D311yescharacteristic
737#239—64no—
738#239—64no—
739#239—64no—
740D3×Q8—64no—
741#237—24no—
742#237—64no—
743#237—68no—
744#237—64no—
745#237—64no—
746#237—64no—
747D3×D4—24no—
748D3×D4—44no—
749D3×D4—64no—
750D3×D4—64no—
751D3×D4—64no—
752D3×D4—68no—
753D3×D4—64no—
754D3×D4—68no—
755D3×D4—64no—
756D3×D4—68no—
757D3×D4—64no—
758D3×D4—124no—
759D3×D4—124no—
760D3×D4—124no—
761D3×D4—124no—
762#235—24no—
763#235—38no—
764#235—38no—
765#235—64no—
766#235—64no—
767#235—64no—
768#235—68no—
769#235—64no—
770#235—64no—
771#235—64no—
772#235—64no—
773#235—64no—
774#235—64no—
775#235—124no—
776C2×D12—31no—
777C2×D12—31no—
778C2×D12—31no—
779C2×D12—32no—
780C2×D12—32no—
781C2×D12—32no—
782C2×D12—31no—
783C2×D12—32no—
784C2×D12—31no—
785C2×D12—31no—
786C2×D12—31no—
787C2×D12—31no—
788C2×D12—32no—
789C2×D12—32no—
790C2×D12—32no—
791C2×D12—32no—
792C2×D12—61no—
793C2×D12—61no—
794C2×D12—62no—
795C2×D12—64no—
796C2×D12—64no—
797C2×D12—68no—
798C2×D12—124no—
799C2×D12C22×D311yescharacteristic
800C2×D12C22×D312yes—
801C2×D12C22×D311yescharacteristic
802C2×C4×D3—24no—
803C2×C4×D3—31no—
804C2×C4×D3—31no—
805C2×C4×D3—31no—
806C2×C4×D3—31no—
807C2×C4×D3—32no—
808C2×C4×D3—31no—
809C2×C4×D3—31no—
810C2×C4×D3—31no—
811C2×C4×D3—31no—
812C2×C4×D3—31no—
813C2×C4×D3—31no—
814C2×C4×D3—31no—
815C2×C4×D3—32no—
816C2×C4×D3—31no—
817C2×C4×D3—32no—
818C2×C4×D3—32no—
819C2×C4×D3—32no—
820C2×C4×D3—61no—
821C2×C4×D3—61no—
822C2×C4×D3—64no—
823C2×C4×D3—64no—
824C2×C4×D3—64no—
825C2×C4×D3—64no—
826C2×C4×D3C22×D311yescharacteristic
827C2×C4×D3C22×D311yescharacteristic
828C2×C4×D3C22×D311yescharacteristic
829C2×C4×D3C22×D311yescharacteristic
830C2×C4×D3C22×D312yes—
831C2×C4×D3C22×D312yes—
832C2×C4×D3C22×D311yescharacteristic
833C2×C4×D3C22×D311yescharacteristic
834C2×Dic6—31no—
835C2×Dic6—31no—
836C2×Dic6—31no—
837C2×Dic6—31no—
838C2×Dic6—31no—
839C2×Dic6—31no—
840C2×Dic6—61no—
841C2×Dic6—64no—
842C2×Dic6C22×D311yescharacteristic
843C2×Dic6C22×D311yescharacteristic
844C3×C4⋊C4—21no—
845C3×C4⋊C4—32no—
846C3×C4⋊C4—32no—
847C3×C4⋊C4—31no—
848C3×C4⋊C4—31no—
849C3×C4⋊C4—32no—
850C3×C4⋊C4—32no—
851C3×C4⋊C4C22×D311yescharacteristic
852C3×C4⋊C4C22×D311yescharacteristic
853C3×C22⋊C4—22no—
854C3×C22⋊C4—32no—
855C3×C22⋊C4—32no—
856C3×C22⋊C4—32no—
857C3×C22⋊C4—32no—
858C3×C22⋊C4—32no—
859C3×C22⋊C4—32no—
860C3×C22⋊C4C22×D312yes—
861C3×C22⋊C4C22×D312yes—
862#217—32no—
863#217—32no—
864#217—32no—
865#217—32no—
866#217—32no—
867#217—32no—
868#217—32no—
869#217—62no—
870#217C22×D312yes—
871#217C22×D312yes—
872#217C22×D312yes—
873(C2×D3)⋊C4—32no—
874(C2×D3)⋊C4—32no—
875(C2×D3)⋊C4—32no—
876(C2×D3)⋊C4—32no—
877(C2×D3)⋊C4—32no—
878(C2×D3)⋊C4—32no—
879(C2×D3)⋊C4—32no—
880(C2×D3)⋊C4—32no—
881(C2×D3)⋊C4—32no—
882(C2×D3)⋊C4—32no—
883(C2×D3)⋊C4—32no—
884(C2×D3)⋊C4—32no—
885(C2×D3)⋊C4—32no—
886(C2×D3)⋊C4—32no—
887(C2×D3)⋊C4—32no—
888(C2×D3)⋊C4—32no—
889(C2×D3)⋊C4—32no—
890(C2×D3)⋊C4—62no—
891(C2×D3)⋊C4—62no—
892(C2×D3)⋊C4—62no—
893(C2×D3)⋊C4C22×D312yes—
894(C2×D3)⋊C4C22×D312yes—
895(C2×D3)⋊C4C22×D312yes—
896C4⋊Dic3—31no—
897C4⋊Dic3—31no—
898C4⋊Dic3—32no—
899C4⋊Dic3—61no—
900C4⋊Dic3C22×D312yes—
901C4⋊Dic3C22×D311yescharacteristic
902C4⋊Dic3C22×D311yescharacteristic
903Dic3⋊C4—32no—
904Dic3⋊C4—32no—
905Dic3⋊C4—32no—
906Dic3⋊C4—32no—
907Dic3⋊C4—32no—
908Dic3⋊C4C22×D312yes—
909Dic3⋊C4C22×D312yes—
910Dic3⋊C4C22×D312yes—
911C4×Dic3—32no—
912C4×Dic3—32no—
913C4×Dic3—32no—
914C4×Dic3—32no—
915C4×Dic3—32no—
916C4×Dic3—32no—
917C4×Dic3—62no—
918C22×C32—21no—
919C22×C32—22no—
920C22×C32—22no—
921C22×C32—21no—
922C22×C32—21no—
923C22×C32—22no—
924C22×C32C2511yescharacteristic
925C2×C3⋊D3—21no—
926C2×C3⋊D3—21no—
927C2×C3⋊D3—21no—
928C2×C3⋊D3—22no—
929C2×C3⋊D3—22no—
930C2×C3⋊D3—21no—
931C2×C3⋊D3—21no—
932C2×C3⋊D3—22no—
933C2×C3⋊D3—84no—
934C2×C3⋊D3C22×D412yes—
935C2×C3×D3—21no—
936C2×C3×D3—21no—
937C2×C3×D3—21no—
938C2×C3×D3—21no—
939C2×C3×D3—21no—
940C2×C3×D3—21no—
941C2×C3×D3—21no—
942C2×C3×D3—22no—
943C2×C3×D3—21no—
944C2×C3×D3—22no—
945C2×C3×D3—21no—
946C2×C3×D3—22no—
947C2×C3×D3—44no—
948C2×C3×D3—84no—
949C2×C3×D3C22×D412yes—
950C2×C3×D3C22×D412yes—
951C2×C3×D3H(5,𝔽2)12yescomplemented
952D32—44no—
953D32—44no—
954D32—84no—
955C32×C4—21no—
956C32×C4—22no—
957C32×C4C22×D412yes—
958C3⋊Dic3—21no—
959C3⋊Dic3—22no—
960C3⋊Dic3C22×D412yes—
961C3×Dic3—21no—
962C3×Dic3—22no—
963C3×Dic3—21no—
964C3×Dic3—22no—
965C3×Dic3—22no—
966C3×Dic3C22×D412yes—
967C3×Dic3C22×D412yes—
968H(5,𝔽2)—188no—
969C2×#41—31no—
970C2×#41—31no—
971C2×#41—91no—
972C2×#41—91no—
973C2×#41—91no—
974C2×#41—91no—
975C2×#41—92no—
976C2×#41—91no—
977C2×#41—91no—
978C2×#41—91no—
979C2×#41—91no—
980C2×#41—91no—
981C2×#41—188no—
982C22×Q8—91no—
983C22×D4—31no—
984C22×D4—32no—
985C22×D4—91no—
986C22×D4—91no—
987C22×D4—92no—
988C22×D4—92no—
989C22×D4—92no—
990C22×D4—92no—
991C22×D4—91no—
992C22×D4—91no—
993C22×D4—92no—
994C22×D4—91no—
995C23×C4—31no—
996C23×C4—91no—
997C23×C4—91no—
998#127—92no—
999#127—92no—
1000#127—92no—
1001#124—92no—
1002#124—92no—
1003#124—92no—
1004#123—92no—
1005#123—92no—
1006#123—92no—
1007C22⋊Q8—31no—
1008C22⋊Q8—31no—
1009C22⋊Q8—32no—
1010C22⋊Q8—92no—
1011C22⋊Q8—92no—
1012C22⋊Q8—91no—
1013C22⋊Q8—91no—
1014#121—31no—
1015#121—32no—
1016#121—31no—
1017#121—32no—
1018#121—32no—
1019#121—31no—
1020#121—31no—
1021#121—32no—
1022#121—32no—
1023#121—92no—
1024#121—92no—
1025#121—92no—
1026#121—92no—
1027#121—92no—
1028#121—92no—
1029#121—92no—
1030#121—92no—
1031#121—91no—
1032#121—91no—
1033#121—92no—
1034#121—91no—
1035#121—92no—
1036#121—91no—
1037#121—91no—
1038#121—91no—
1039#121—91no—
1040#121D3211yescharacteristic, complemented
1041#120—92no—
1042#120—92no—
1043#120—92no—
1044#120—92no—
1045#120—92no—
1046#120—92no—
1047#120—92no—
1048#120—92no—
1049#120—92no—
1050C4×Q8—92no—
1051C4×D4—92no—
1052C4×D4—92no—
1053C4×D4—92no—
1054C4×D4—92no—
1055C4×D4—92no—
1056C4×D4—92no—
1057C4×D4—92no—
1058C4×D4—92no—
1059C4×D4—92no—
1060#117—91no—
1061#117—91no—
1062#117—91no—
1063C2×C4⋊C4—31no—
1064C2×C4⋊C4—31no—
1065C2×C4⋊C4—91no—
1066C2×C22⋊C4—32no—
1067C2×C22⋊C4—92no—
1068C2×C22⋊C4—92no—
1069C23×C3—22no—
1070C23×C3—21no—
1071C23×C3—31no—
1072C23×C3—31no—
1073C23×C3—31no—
1074C23×C3—32no—
1075C23×C3—31no—
1076C23×C3—62no—
1077C23×C3—62no—
1078C23×C3—64no—
1079C23×C3—121no—
1080C23×C3—122no—
1081C23×C3—122no—
1082C23×C3C23×D312yes—
1083C23×C3C23×D312yes—
1084C23×C3C23×D311yescharacteristic
1085C23×C3C23×D311yescharacteristic
1086C22×D3—22no—
1087C22×D3—22no—
1088C22×D3—24no—
1089C22×D3—31no—
1090C22×D3—31no—
1091C22×D3—32no—
1092C22×D3—32no—
1093C22×D3—31no—
1094C22×D3—31no—
1095C22×D3—41no—
1096C22×D3—42no—
1097C22×D3—42no—
1098C22×D3—61no—
1099C22×D3—62no—
1100C22×D3—61no—
1101C22×D3—62no—
1102C22×D3—62no—
1103C22×D3—62no—
1104C22×D3—62no—
1105C22×D3—62no—
1106C22×D3—64no—
1107C22×D3—64no—
1108C22×D3—64no—
1109C22×D3—62no—
1110C22×D3—62no—
1111C22×D3—62no—
1112C22×D3—64no—
1113C22×D3—124no—
1114C22×D3—121no—
1115C22×D3—121no—
1116C22×D3—121no—
1117C22×D3—121no—
1118C22×D3—122no—
1119C22×D3—122no—
1120C22×D3—122no—
1121C22×D3—122no—
1122C22×D3—122no—
1123C22×D3—122no—
1124C22×D3—122no—
1125C22×D3—122no—
1126C22×D3—242no—
1127C22×D3—242no—
1128C22×D3C23×D312yes—
1129C22×D3C23×D311yescharacteristic
1130C22×D3C23×D311yescharacteristic
1131C22×D3C23×D311yescharacteristic
1132C22×D3C23×D311yescharacteristic
1133C3×Q8—62no—
1134C3×Q8—62no—
1135C3×D4—22no—
1136C3×D4—22no—
1137C3×D4—42no—
1138C3×D4—42no—
1139C3×D4—42no—
1140C3×D4—62no—
1141C3×D4—64no—
1142C3×D4—64no—
1143C3×D4—62no—
1144C3×D4—64no—
1145C3×D4—62no—
1146C3×D4—64no—
1147C3×D4—62no—
1148C3×D4—82no—
1149C3×D4—122no—
1150C3×D4—122no—
1151C2×C3×C4—22no—
1152C2×C3×C4—22no—
1153C2×C3×C4—21no—
1154C2×C3×C4—22no—
1155C2×C3×C4—21no—
1156C2×C3×C4—31no—
1157C2×C3×C4—31no—
1158C2×C3×C4—34no—
1159C2×C3×C4—34no—
1160C2×C3×C4—32no—
1161C2×C3×C4—32no—
1162C2×C3×C4—31no—
1163C2×C3×C4—32no—
1164C2×C3×C4—31no—
1165C2×C3×C4—42no—
1166C2×C3×C4—62no—
1167C2×C3×C4—62no—
1168C2×C3×C4—64no—
1169C2×C3×C4—62no—
1170C2×C3×C4—62no—
1171C2×C3×C4—62no—
1172C2×C3×C4—122no—
1173C2×C3×C4—122no—
1174C2×C3×C4C23×D312yes—
1175C2×C3×C4C23×D312yes—
1176C2×C3×C4C23×D311yescharacteristic
1177C2×C3×C4C23×D311yescharacteristic
1178C2×C3×C4C23×D311yescharacteristic
1179C2×C3×C4C23×D311yescharacteristic
1180#67—22no—
1181#67—24no—
1182#67—24no—
1183#67—22no—
1184#67—24no—
1185#67—34no—
1186#67—34no—
1187#67—34no—
1188#67—34no—
1189#67—42no—
1190#67—42no—
1191#67—64no—
1192#67—62no—
1193#67—64no—
1194#67—64no—
1195#67—62no—
1196#67—64no—
1197#67—62no—
1198#67—64no—
1199#67—62no—
1200#67—62no—
1201#67—62no—
1202#67—62no—
1203#67—62no—
1204#67—64no—
1205#67—122no—
1206#67—124no—
1207#67—122no—
1208#67—122no—
1209#67—122no—
1210#67—122no—
1211#67—122no—
1212#67—122no—
1213#67—122no—
1214#67—122no—
1215#67—122no—
1216#67—242no—
1217#67—242no—
1218C2×Dic3—22no—
1219C2×Dic3—24no—
1220C2×Dic3—31no—
1221C2×Dic3—31no—
1222C2×Dic3—32no—
1223C2×Dic3—32no—
1224C2×Dic3—31no—
1225C2×Dic3—31no—
1226C2×Dic3—61no—
1227C2×Dic3—62no—
1228C2×Dic3—61no—
1229C2×Dic3—62no—
1230C2×Dic3—62no—
1231C2×Dic3—64no—
1232C2×Dic3—62no—
1233C2×Dic3—62no—
1234C2×Dic3C23×D312yes—
1235C2×Dic3C23×D312yes—
1236C2×Dic3C23×D311yescharacteristic
1237C2×Dic3C23×D312yes—
1238C2×Dic3C23×D311yescharacteristic
1239C2×Dic3C23×D311yescharacteristic
1240C2×Dic3C23×D311yescharacteristic
1241D12—22no—
1242D12—24no—
1243D12—22no—
1244D12—34no—
1245D12—34no—
1246D12—62no—
1247D12—62no—
1248D12—64no—
1249D12—62no—
1250D12—64no—
1251D12—64no—
1252D12—62no—
1253D12—64no—
1254D12—62no—
1255D12—62no—
1256D12—122no—
1257D12—122no—
1258D12—122no—
1259D12—122no—
1260D12—122no—
1261D12—122no—
1262D12—242no—
1263C4×D3—22no—
1264C4×D3—22no—
1265C4×D3—22no—
1266C4×D3—22no—
1267C4×D3—34no—
1268C4×D3—34no—
1269C4×D3—42no—
1270C4×D3—42no—
1271C4×D3—64no—
1272C4×D3—62no—
1273C4×D3—64no—
1274C4×D3—62no—
1275C4×D3—62no—
1276C4×D3—62no—
1277C4×D3—62no—
1278C4×D3—64no—
1279C4×D3—62no—
1280C4×D3—62no—
1281C4×D3—62no—
1282C4×D3—62no—
1283C4×D3—62no—
1284C4×D3—64no—
1285C4×D3—122no—
1286C4×D3—122no—
1287C4×D3—122no—
1288C4×D3D3×D414yescomplemented
1289C4×D3D3×D414yescomplemented
1290Dic6—22no—
1291Dic6—22no—
1292Dic6—34no—
1293Dic6—34no—
1294Dic6—62no—
1295Dic6—62no—
1296Dic6—62no—
1297Dic6—62no—
1298Dic6—122no—
1299C2×C32—41no—
1300C2×C32—42no—
1301C2×C32C23×D411yescharacteristic
1302C2×C32C2×H(5,𝔽2)11yescharacteristic
1303C2×C32#58511yescharacteristic
1304C3⋊D3—22no—
1305C3⋊D3—41no—
1306C3⋊D3—42no—
1307C3×D3—22no—
1308C3×D3—22no—
1309C3×D3—22no—
1310C3×D3—41no—
1311C3×D3—42no—
1312C24—31no—
1313C24—32no—
1314C24—91no—
1315C24—91no—
1316C24—92no—
1317C24—92no—
1318#41—64no—
1319#41—64no—
1320#41—98no—
1321#41—184no—
1322#41—184no—
1323#41—184no—
1324#41—184no—
1325#41—184no—
1326#41—184no—
1327#41—188no—
1328#41—184no—
1329#41—184no—
1330C2×Q8—31no—
1331C2×Q8—31no—
1332C2×Q8—91no—
1333C2×Q8—91no—
1334C2×Q8—91no—
1335C2×Q8—184no—
1336C2×D4—32no—
1337C2×D4—31no—
1338C2×D4—32no—
1339C2×D4—32no—
1340C2×D4—31no—
1341C2×D4—32no—
1342C2×D4—32no—
1343C2×D4—32no—
1344C2×D4—31no—
1345C2×D4—31no—
1346C2×D4—64no—
1347C2×D4—91no—
1348C2×D4—91no—
1349C2×D4—92no—
1350C2×D4—91no—
1351C2×D4—92no—
1352C2×D4—92no—
1353C2×D4—92no—
1354C2×D4—91no—
1355C2×D4—92no—
1356C2×D4—92no—
1357C2×D4—91no—
1358C2×D4—91no—
1359C2×D4—91no—
1360C2×D4—92no—
1361C2×D4—91no—
1362C2×D4—92no—
1363C2×D4—92no—
1364C2×D4—92no—
1365C2×D4—91no—
1366C2×D4—91no—
1367C2×D4—92no—
1368C2×D4—124no—
1369C2×D4—184no—
1370C2×D4—184no—
1371C2×D4—188no—
1372C2×D4—184no—
1373C2×D4—188no—
1374C2×D4—184no—
1375C2×D4—184no—
1376C2×D4—188no—
1377C2×D4—364no—
1378C2×D4—364no—
1379C2×D4C2×D3211yescharacteristic
1380C2×D4C2×D3212yes—
1381C22×C4—31no—
1382C22×C4—31no—
1383C22×C4—31no—
1384C22×C4—32no—
1385C22×C4—31no—
1386C22×C4—31no—
1387C22×C4—31no—
1388C22×C4—31no—
1389C22×C4—32no—
1390C22×C4—32no—
1391C22×C4—64no—
1392C22×C4—91no—
1393C22×C4—91no—
1394C22×C4—92no—
1395C22×C4—92no—
1396C22×C4—91no—
1397C22×C4—91no—
1398C22×C4—91no—
1399C22×C4—91no—
1400C22×C4—92no—
1401C22×C4—91no—
1402C22×C4—91no—
1403C22×C4—184no—
1404C22×C4—184no—
1405C22×C4C2×D3211yescharacteristic
1406C4⋊C4—31no—
1407C4⋊C4—31no—
1408C4⋊C4—32no—
1409C4⋊C4—32no—
1410C4⋊C4—32no—
1411C4⋊C4—32no—
1412C4⋊C4—92no—
1413C4⋊C4—92no—
1414C4⋊C4—92no—
1415C4⋊C4—91no—
1416C4⋊C4C2×D3211yescharacteristic
1417C22⋊C4—32no—
1418C22⋊C4—32no—
1419C22⋊C4—32no—
1420C22⋊C4—32no—
1421C22⋊C4—32no—
1422C22⋊C4—32no—
1423C22⋊C4—92no—
1424C22⋊C4—92no—
1425C22⋊C4—92no—
1426C22⋊C4—92no—
1427C22⋊C4—92no—
1428C22⋊C4—92no—
1429C22⋊C4—92no—
1430C22⋊C4—92no—
1431C22⋊C4—92no—
1432C22⋊C4—92no—
1433C22⋊C4—92no—
1434C22⋊C4—92no—
1435C22⋊C4C2×D3212yes—
1436C42—92no—
1437C42—92no—
1438C42—92no—
1439C22×C3—22no—
1440C22×C3—21no—
1441C22×C3—21no—
1442C22×C3—22no—
1443C22×C3—22no—
1444C22×C3—21no—
1445C22×C3—21no—
1446C22×C3—22no—
1447C22×C3—22no—
1448C22×C3—21no—
1449C22×C3—21no—
1450C22×C3—22no—
1451C22×C3—21no—
1452C22×C3—32no—
1453C22×C3—32no—
1454C22×C3—32no—
1455C22×C3—41no—
1456C22×C3—42no—
1457C22×C3—41no—
1458C22×C3—42no—
1459C22×C3—41no—
1460C22×C3—42no—
1461C22×C3—61no—
1462C22×C3—61no—
1463C22×C3—61no—
1464C22×C3—61no—
1465C22×C3—61no—
1466C22×C3—61no—
1467C22×C3—61no—
1468C22×C3—62no—
1469C22×C3—61no—
1470C22×C3—61no—
1471C22×C3—62no—
1472C22×C3—62no—
1473C22×C3—124no—
1474C22×C3—244no—
1475C22×C3C24×D311yescharacteristic
1476C22×C3C24×D311yescharacteristic
1477C2×D3—21no—
1478C2×D3—21no—
1479C2×D3—21no—
1480C2×D3—21no—
1481C2×D3—21no—
1482C2×D3—21no—
1483C2×D3—21no—
1484C2×D3—22no—
1485C2×D3—22no—
1486C2×D3—22no—
1487C2×D3—21no—
1488C2×D3—21no—
1489C2×D3—32no—
1490C2×D3—32no—
1491C2×D3—44no—
1492C2×D3—62no—
1493C2×D3—61no—
1494C2×D3—61no—
1495C2×D3—61no—
1496C2×D3—61no—
1497C2×D3—61no—
1498C2×D3—61no—
1499C2×D3—62no—
1500C2×D3—62no—
1501C2×D3—62no—
1502C2×D3—61no—
1503C2×D3—61no—
1504C2×D3—62no—
1505C2×D3—62no—
1506C2×D3—61no—
1507C2×D3—61no—
1508C2×D3—62no—
1509C2×D3—84no—
1510C2×D3—121no—
1511C2×D3—121no—
1512C2×D3—121no—
1513C2×D3—122no—
1514C2×D3—121no—
1515C2×D3—122no—
1516C2×D3—121no—
1517C2×D3—122no—
1518C2×D3—124no—
1519C2×D3—124no—
1520C2×D3—124no—
1521C2×D3—124no—
1522C2×D3—244no—
1523C2×D3—244no—
1524C2×D3—244no—
1525C2×D3—244no—
1526C2×D3—248no—
1527C2×D3C2×D3×D412yes—
1528C2×D3C2×D3×D412yes—
1529C2×D3#100412yescomplemented
1530C3×C4—21no—
1531C3×C4—21no—
1532C3×C4—22no—
1533C3×C4—22no—
1534C3×C4—22no—
1535C3×C4—32no—
1536C3×C4—32no—
1537C3×C4—41no—
1538C3×C4—42no—
1539C3×C4—61no—
1540C3×C4—61no—
1541C3×C4—62no—
1542C3×C4—62no—
1543C3×C4—62no—
1544C3×C4C2×D3×D412yes—
1545C3×C4C2×D3×D412yes—
1546Dic3—21no—
1547Dic3—22no—
1548Dic3—21no—
1549Dic3—22no—
1550Dic3—22no—
1551Dic3—32no—
1552Dic3—32no—
1553Dic3—62no—
1554Dic3—61no—
1555Dic3—61no—
1556Dic3—62no—
1557Dic3—62no—
1558Dic3—121no—
1559Dic3—122no—
1560Dic3C2×D3×D412yes—
1561Dic3C2×D3×D412yes—
1562C32#348811yescharacteristic, complemented, Sylow
1563C23—31no—
1564C23—31no—
1565C23—31no—
1566C23—32no—
1567C23—31no—
1568C23—62no—
1569C23—62no—
1570C23—64no—
1571C23—91no—
1572C23—92no—
1573C23—91no—
1574C23—121no—
1575C23—122no—
1576C23—122no—
1577C23—184no—
1578C23—182no—
1579C23—182no—
1580C23—182no—
1581C23—184no—
1582C23—182no—
1583C23—362no—
1584C23—362no—
1585C23—361no—
1586C23—361no—
1587C23—362no—
1588C23—362no—
1589C23C22×D3212yes—
1590C23C22×D3211yescharacteristic
1591Q8—62no—
1592Q8—62no—
1593Q8—94no—
1594Q8—182no—
1595Q8—182no—
1596D4—22no—
1597D4—42no—
1598D4—64no—
1599D4—62no—
1600D4—64no—
1601D4—62no—
1602D4—64no—
1603D4—64no—
1604D4—62no—
1605D4—62no—
1606D4—94no—
1607D4—94no—
1608D4—94no—
1609D4—122no—
1610D4—122no—
1611D4—182no—
1612D4—184no—
1613D4—182no—
1614D4—184no—
1615D4—182no—
1616D4—184no—
1617D4—184no—
1618D4—184no—
1619D4—182no—
1620D4—182no—
1621D4—182no—
1622D4—182no—
1623D4—362no—
1624D4—362no—
1625D4—362no—
1626D4—362no—
1627D4—362no—
1628D4—362no—
1629C2×C4—22no—
1630C2×C4—31no—
1631C2×C4—31no—
1632C2×C4—34no—
1633C2×C4—34no—
1634C2×C4—32no—
1635C2×C4—32no—
1636C2×C4—31no—
1637C2×C4—31no—
1638C2×C4—32no—
1639C2×C4—62no—
1640C2×C4—62no—
1641C2×C4—62no—
1642C2×C4—64no—
1643C2×C4—62no—
1644C2×C4—62no—
1645C2×C4—91no—
1646C2×C4—94no—
1647C2×C4—92no—
1648C2×C4—91no—
1649C2×C4—122no—
1650C2×C4—122no—
1651C2×C4—182no—
1652C2×C4—184no—
1653C2×C4—182no—
1654C2×C4—182no—
1655C2×C4—182no—
1656C2×C4—182no—
1657C2×C4—184no—
1658C2×C4—182no—
1659C2×C4—182no—
1660C2×C4—362no—
1661C2×C4C22×D3212yes—
1662C2×C4C22×D3211yescharacteristic
1663C2×C4C22×D3211yescharacteristic
1664C2×C3—21no—
1665C2×C3—21no—
1666C2×C3—21no—
1667C2×C3—42no—
1668C2×C3—41no—
1669C2×C3—41no—
1670C2×C3—42no—
1671C2×C3—62no—
1672C2×C3—62no—
1673C2×C3—62no—
1674C2×C3—82no—
1675C2×C3—81no—
1676C2×C3—122no—
1677C2×C3—121no—
1678C2×C3C22×D3×D411yescharacteristic
1679C2×C3C22×D3×D411yescharacteristic
1680C2×C3C2×#100411yescharacteristic
1681C2×C3#596411yescharacteristic
1682C2×C3D3×H(5,𝔽2)11yescharacteristic
1683C2×C3#596811yescharacteristic
1684D3—22no—
1685D3—22no—
1686D3—22no—
1687D3—41no—
1688D3—42no—
1689D3—62no—
1690D3—62no—
1691D3—122no—
1692D3—121no—
1693D3—122no—
1694D3—121no—
1695D3—122no—
1696D3—242no—
1697D3—241no—
1698C22—21no—
1699C22—22no—
1700C22—21no—
1701C22—22no—
1702C22—21no—
1703C22—22no—
1704C22—32no—
1705C22—32no—
1706C22—32no—
1707C22—61no—
1708C22—61no—
1709C22—61no—
1710C22—61no—
1711C22—61no—
1712C22—61no—
1713C22—61no—
1714C22—62no—
1715C22—62no—
1716C22—61no—
1717C22—61no—
1718C22—62no—
1719C22—92no—
1720C22—124no—
1721C22—181no—
1722C22—181no—
1723C22—181no—
1724C22—182no—
1725C22—182no—
1726C22—181no—
1727C22—181no—
1728C22—182no—
1729C22—244no—
1730C22—364no—
1731C22—364no—
1732C22—724no—
1733C22—724no—
1734C22C23×D3211yescharacteristic
1735C4—21no—
1736C4—22no—
1737C4—32no—
1738C4—32no—
1739C4—61no—
1740C4—62no—
1741C4—61no—
1742C4—62no—
1743C4—62no—
1744C4—92no—
1745C4—181no—
1746C4—182no—
1747C4D32×D412yes—
1748C3—21no—
1749C3#8594911yescharacteristic, complemented
1750C3#8637911yescharacteristic, complemented
1751C2—41no—
1752C2—42no—
1753C2—62no—
1754C2—62no—
1755C2—62no—
1756C2—122no—
1757C2—121no—
1758C2—182no—
1759C2—361no—
1760C2—362no—
1761C2C2×D32×D411yescharacteristic
1762C2D3×#100411yescharacteristic
1763C2#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×#64314C2semidirect
2. C2×D3×#235C2semidirect
3. #10596078C2semidirect
4. C3×#5608C2semidirect
5. C3×D3×#121C2semidirect
6. #10595301C2semidirect
7. #10595296C2semidirect
8. #10595291C2semidirect
9. #10595288C2semidirect
10. #10595282C2semidirect
11. #10595269C2semidirect
12. #10595231C2semidirect
13. #10595064C2semidirect
14. #10595005C2semidirect
15. #10594923C2semidirect
16. #10594632C2semidirect
17. D3×#895C2semidirect
18. #10594523C2semidirect
19. #10594509C2semidirect
20. #10594284C2semidirect
21. #10594273C2semidirect
22. #10594187C2semidirect
23. #10594074C2semidirect
26. C2×D4×C3⋊D3C22semidirect
27. C2×#3828C22semidirect
28. C2×C3×#237C22semidirect
29. C2×C3×D3×D4C22semidirect
30. C2×C3×D3×D4C22semidirect
31. C2×C3×#235C22semidirect
32. C22×C3×C4×D3C22semidirect
33. C2×#3811C22semidirect
34. C2×#3811C22semidirect
35. C2×D3×#67C22semidirect
36. C2×D3×#67C22semidirect
37. C2×D3×#67C22semidirect
38. C22×#626C22semidirect
39. C2×#3804C22semidirect
40. C2×#3804C22semidirect
41. C2×#3804C22semidirect
44. C2×D3×D12C22semidirect
45. C2×D3×D12C22semidirect
46. C2×D3×D12C22semidirect
47. C2×C4×D32C22semidirect
48. C2×C4×D32C22semidirect
49. C2×#3799C22semidirect
50. C2×#3799C22semidirect
52. C2×#3798C22semidirect
53. C2×#3796C22semidirect
54. C2×#3795C22semidirect
55. C2×D3×Dic6C22semidirect
56. C32×#121C22semidirect
57. #64149C22semidirect
58. #64147C22semidirect
59. #64146C22semidirect
60. #64139C22semidirect
61. #64104C22semidirect
62. #64101C22semidirect
63. #64094C22semidirect
64. #64091C22semidirect
65. C3×#939C22semidirect
66. C3×#939C22semidirect
67. C3×#938C22semidirect
68. C3×#938C22semidirect
69. C3×#938C22semidirect
70. C3×#930C22semidirect
71. C3×#924C22semidirect
72. C3×#897C22semidirect
73. C3×#895C22semidirect
74. C3×D3×C4⋊C4C22semidirect
75. C3×D3×C4⋊C4C22semidirect
76. C3×#884C22semidirect
77. C3×#884C22semidirect
78. C3×D3×C22⋊C4C22semidirect
79. C3×#878C22semidirect
80. #63983C22semidirect
81. #63983C22semidirect
82. #63979C22semidirect
83. #63979C22semidirect
84. #63977C22semidirect
85. #63977C22semidirect
86. #63976C22semidirect
87. #63974C22semidirect
88. Dic3×#67C22semidirect
89. #63971C22semidirect
90. #63971C22semidirect
91. #63971C22semidirect
92. #63969C22semidirect
93. #63959C22semidirect
94. #63958C22semidirect
95. #63952C22semidirect
96. #63952C22semidirect
97. #63922C22semidirect
98. #63922C22semidirect
99. D3×(C2×D3)⋊C4C22semidirect
100. #63916C22semidirect
101. #63910C22semidirect
102. #63910C22semidirect
103. #63910C22semidirect
104. #63909C22semidirect
105. #63909C22semidirect
106. #63909C22semidirect
107. #63908C22semidirect
108. #63907C22semidirect
109. #63906C22semidirect
110. #63904C22semidirect
111. #63904C22semidirect
112. #63904C22semidirect
113. #63902C22semidirect
114. C4×#625C22semidirect
115. #63900C22semidirect
116. #63898C22semidirect
117. #63896C22semidirect
118. #63895C22semidirect
119. #63886C22semidirect
120. #63871C22semidirect
121. #63856C22semidirect
122. #63854C22semidirect
123. #63850C22semidirect
124. #63841C22semidirect
125. #63841C22semidirect
126. #63838C22semidirect
153. #5608D3semidirect
164. D3×#121D3semidirect
264. #3798D4semidirect
323. C2×#237C2×D3semidirect
337. C2×D3×D4C2×D3semidirect
338. C2×D3×D4C2×D3semidirect
353. C2×#235C2×D3semidirect
362. C22×C4×D3C2×D3semidirect
377. C3×#121C2×D3semidirect
378. C3×#121C2×D3semidirect
399. #939C2×D3semidirect
400. #939C2×D3semidirect
407. #938C2×D3semidirect
408. #938C2×D3semidirect
409. #938C2×D3semidirect
432. #930C2×D3semidirect
446. #924C2×D3semidirect
449. #897C2×D3semidirect
463. #895C2×D3semidirect
477. D3×C4⋊C4C2×D3semidirect
478. D3×C4⋊C4C2×D3semidirect
494. #884C2×D3semidirect
495. #884C2×D3semidirect
512. D3×C22⋊C4C2×D3semidirect
514. #878C2×D3semidirect
561. C4×C3⋊D3C2×D4semidirect
588. C3×C4×D3C2×D4semidirect
589. C3×C4×D3C2×D4semidirect
593. #627C2×D4semidirect
602. #626C2×D4semidirect
603. #626C2×D4semidirect
606. #625C2×D4semidirect
951. C2×C3×D3H(5,𝔽2)semidirect
1040. #121D32semidirect
1288. C4×D3D3×D4semidirect
1289. C4×D3D3×D4semidirect
1529. C2×D3#1004semidirect
1562. C32#3488semidirect
1749. C3#85949semidirect
1750. C3#86379semidirect

Maximal subgroups

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

subgroupindex
C2×#643142
C2×D3×#2352
#105960782
C3×#56082
C3×D3×#1212
#105953012
#105952962
#105952912
#105952882
#105952822
#105952692
#105952312
#105950642
#105950052
#105949232
#105946322
D3×#8952
#105945232
#105945092
#105942842
#105942732
#105941872
#105940742
#863793
#859493