Finite Group Databasebeta

← #11904671

Subgroups — #11904671

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×#5607C211yesmaximal, characteristic, complemented
5C3×#5606C211yesmaximal, characteristic, complemented
6#10595295C212yesmaximal, complemented
7#10595289C212yesmaximal, complemented
8#10595282C211yesmaximal, characteristic, complemented
9D3×#938C211yesmaximal, characteristic, complemented
10#10595232C211yesmaximal, characteristic, complemented
11#10595143C212yesmaximal, complemented
12#10595135C212yesmaximal, complemented
13D3×#930C211yesmaximal, characteristic, complemented
14#10594923C211yesmaximal, characteristic, complemented
15#10594894C211yesmaximal, characteristic, complemented
16#10594632C211yesmaximal, characteristic, complemented
17#10594628C211yesmaximal, characteristic, complemented
18#10594627C211yesmaximal, characteristic, complemented
19#10594511C211yesmaximal, characteristic, complemented
20#10594282C212yesmaximal, complemented
21#10594277C212yesmaximal, complemented
22#10594274C212yesmaximal, complemented
23#10594073C212yesmaximal, complemented
24#86331—31nomaximal
25#86041—31nomaximal
26C2×D4×C3⋊D3C2211yescharacteristic, complemented
27C2×#3828C2211yescharacteristic, complemented
28C2×C3×#237C2211yescharacteristic, complemented
29C2×C3×D3×D4C2211yescharacteristic, complemented
30C2×C3×#235C2211yescharacteristic, complemented
31C22×C3×C4×D3C2211yescharacteristic, complemented
32C2×#3811C2212yescomplemented
33C2×#3811C2212yescomplemented
34C2×D3×#67C2211yescharacteristic, complemented
35C2×D3×#67C2211yescharacteristic, complemented
36C2×D3×#67C2212yescomplemented
37C2×D3×#67C2212yescomplemented
38C2×D3×#67C2212yescomplemented
39C22×#626C2212yescomplemented
40C2×#3804C2212yescomplemented
41C2×#3804C2211yescharacteristic, complemented
42C2×#3804C2211yescharacteristic, complemented
43#64314—28no—
44D3×#235—28no—
45C2×D3×D12C2211yescharacteristic, complemented
46C2×D3×D12C2211yescharacteristic, complemented
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×#940C2212yescomplemented
66C3×#938C2211yescharacteristic, complemented
67C3×#938C2211yescharacteristic, complemented
68C3×#937C2212yescomplemented
69C3×#937C2212yescomplemented
70C3×D4×Dic3C2212yescomplemented
71C3×#930C2211yescharacteristic, complemented
72C3×#924C2211yescharacteristic, complemented
73C3×#897C2211yescharacteristic, complemented
74C3×#895C2211yescharacteristic, complemented
75C3×#892C2211yescharacteristic, complemented
76C3×#892C2211yescharacteristic, complemented
77C3×#885C2212yescomplemented
78C3×#883C2212yescomplemented
79C3×#882C2212yescomplemented
80C3×#67⋊C4C2212yescomplemented
81#63978C2212yescomplemented
82#63978C2212yescomplemented
83#63974C2212yescomplemented
84#63971C2212yescomplemented
85#63971C2212yescomplemented
86#63971C2212yescomplemented
87#63971C2212yescomplemented
88#63971C2212yescomplemented
89#63970C2212yescomplemented
90#63970C2212yescomplemented
91D3×#217C2212yescomplemented
92#63964C2212yescomplemented
93#63958C2212yescomplemented
94#63958C2212yescomplemented
95#63958C2212yescomplemented
96#63923C2212yescomplemented
97#63923C2212yescomplemented
98#63922C2212yescomplemented
99#63922C2212yescomplemented
100D3×(C2×D3)⋊C4C2212yescomplemented
101C4×#627C2212yescomplemented
102#63916C2211yescharacteristic, complemented
103#63911C2212yescomplemented
104#63910C2212yescomplemented
105#63909C2211yescharacteristic, complemented
106#63909C2211yescharacteristic, complemented
107#63908C2211yescharacteristic, complemented
108#63906C2212yescomplemented
109#63902C2212yescomplemented
110#63902C2212yescomplemented
111#63900C2211yescharacteristic, complemented
112#63898C2212yescomplemented
113#63896C2212yescomplemented
114#63894C2212yescomplemented
115#63890C2212yescomplemented
116D3×C4⋊Dic3C2211yescharacteristic, complemented
117D3×C4⋊Dic3C2211yescharacteristic, complemented
118#63888C2212yescomplemented
119#63886C2212yescomplemented
120#63880C2212yescomplemented
121#63880C2212yescomplemented
122#63880C2212yescomplemented
123#63871C2211yescharacteristic, complemented
124#63856C2211yescharacteristic, complemented
125#63854C2212yescomplemented
126#63852C2212yescomplemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C2×#1004—31no—
130C22×#235—31no—
131C3×#535—31no—
132C3×#525—31no—
133#5833—31no—
134#5833—31no—
135C2×#938—31no—
136C2×#930—31no—
137#5718—32no—
138#5717—32no—
139#5677—32no—
140#5676—32no—
141#5654—32no—
142#5654—32no—
143#5629—31no—
144#5629—31no—
145#5627—31no—
146#5627—31no—
147#5608—31no—
148#5608—31no—
149#5607—31no—
150#5607—31no—
151#5607—31no—
152#5607—61no—
153#5607D311yescharacteristic, complemented
154#5606—31no—
155#5606D311yescharacteristic, complemented
156D3×#121—31no—
157D3×#121—31no—
158D3×#121—31no—
159D3×#121—31no—
160#5591—32no—
161#5591—32no—
162#5590—32no—
163#5590—32no—
164#5590—32no—
165#5590—32no—
166#5553—32no—
167#5552—32no—
168#5550—32no—
169D4×D12—32no—
170#5525—31no—
171#5524—31no—
172#5523—31no—
173#5523—31no—
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×#235—24no—
208C2×C3×D12C2311yescharacteristic
209C2×C3×D12C2311yescharacteristic
210C2×C3×D12C2312yes—
211C2×C3×C4×D3—24no—
212C2×C3×C4×D3C2311yescharacteristic
213C2×C3×C4×D3C2311yescharacteristic
214C2×C3×C4×D3C2311yescharacteristic
215C2×C3×C4×D3C2311yescharacteristic
216C2×C3×C4×D3C2311yescharacteristic
217C2×C3×C4×D3C2311yescharacteristic
218C2×C3×Dic6C2311yescharacteristic
219C2×C3×Dic6C2311yescharacteristic
220#3811—28no—
221#3811—44no—
222D3×#67—24no—
223D3×#67—24no—
224D3×#67—28no—
225D3×#67—44no—
226D3×#67—44no—
227C2×#627C2311yescharacteristic
228C2×#627C2311yescharacteristic
229C2×#626—28no—
230C2×#626C2312yes—
231C2×#626C2311yescharacteristic
232C2×#626C2311yescharacteristic
233C2×#626C2312yes—
234C2×#626C2312yes—
235C2×#626C2312yes—
236C2×#626C2312yes—
237C2×#626C2312yes—
238C2×#626C2311yescharacteristic
239C2×#626C2311yescharacteristic
240C2×#625C2311yescharacteristic
241C2×#625C2312yes—
242C2×#625C2311yescharacteristic
243C2×#624C2311yescharacteristic
244C2×#624C2311yescharacteristic
245C2×#624C2312yes—
246C2×#624C2312yes—
247#3804—24no—
248#3804—28no—
249#3804—24no—
250C2×D3×Dic3C2311yescharacteristic
251C2×D3×Dic3C2311yescharacteristic
252C2×D3×Dic3C2311yescharacteristic
253C2×D3×Dic3C2311yescharacteristic
254C2×D3×Dic3C2312yes—
255C2×D3×Dic3C2312yes—
256C2×D3×Dic3C2312yes—
257D3×D12—24no—
258D3×D12—24no—
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×(C2×D3)⋊C4C2312yes—
283C3×(C2×D3)⋊C4C2312yes—
284C3×C4⋊Dic3C2312yes—
285C3×C4⋊Dic3C2311yescharacteristic
286C3×C4⋊Dic3C2311yescharacteristic
287C3×Dic3⋊C4C2312yes—
288C3×C4×Dic3C2312yes—
289C3×C4×Dic3C2312yes—
290#3724C2312yes—
291#3724C2312yes—
292Dic3⋊Dic3C2312yes—
293Dic3⋊Dic3C2312yes—
294Dic3⋊Dic3C2312yes—
295#3722C2312yes—
296#3722C2312yes—
297#3722C2312yes—
298(C2×D3)⋊Dic3C2312yes—
299(C2×D3)⋊Dic3C2312yes—
300(C2×D3)⋊Dic3C2312yes—
301#3488—91noSylow
302C2×C3×#41—31no—
303C2×C3×#41—31no—
304C22×C3×D4—31no—
305C23×C3×C4—31no—
306C22×#67—31no—
307C22×#67—31no—
308C22×#67—32no—
309C22×#67—32no—
310C22×#67—32no—
311C22×#67—32no—
312#1009—68no—
313D3×#41—68no—
314C2×#239—31no—
315C2×#239—31no—
316C2×#239—31no—
317C2×D3×Q8—31no—
318#1004—68no—
319C2×#237—32no—
320C2×#237—31no—
321C2×#237—31no—
322C2×#237—31no—
323C2×#237—31no—
324C2×#237C2×D311yescharacteristic, complemented
325C2×D3×D4—32no—
326C2×D3×D4—31no—
327C2×D3×D4—31no—
328C2×D3×D4—31no—
329C2×D3×D4—31no—
330C2×D3×D4—32no—
331C2×D3×D4—32no—
332C2×D3×D4—32no—
333C2×D3×D4—32no—
334C2×D3×D4—32no—
335C2×D3×D4—32no—
336C2×D3×D4—31no—
337C2×D3×D4—31no—
338C2×D3×D4—61no—
339C2×D3×D4C2×D311yescharacteristic, complemented
340C2×#235—31no—
341C2×#235—31no—
342C2×#235—31no—
343C2×#235—31no—
344C2×#235—32no—
345C2×#235—31no—
346C2×#235—31no—
347C2×#235—31no—
348C2×#235—31no—
349C2×#235—31no—
350C2×#235—31no—
351C2×#235—31no—
352C2×#235—61no—
353C2×#235—68no—
354C2×#235C2×D311yescharacteristic, complemented
355C22×D12—32no—
356C22×D12—31no—
357C22×D12—31no—
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×#127—32no—
365C3×#124—32no—
366C3×#123—32no—
367C3×C22⋊Q8—31no—
368C3×C22⋊Q8—31no—
369C3×#121—21no—
370C3×#121—31no—
371C3×#121—31no—
372C3×#121—31no—
373C3×#121—31no—
374C3×#121C2×D311yescharacteristic, complemented
375C3×#121C2×D311yescharacteristic, complemented
376C3×#120—32no—
377C3×#120—32no—
378C3×#120—32no—
379C3×C4×D4—32no—
380C3×C4×D4—32no—
381C3×#117—31no—
382C3×#117—31no—
383C2×#217—32no—
384#946—31no—
385#946—31no—
386#946—32no—
387#940—32no—
388#940—32no—
389#940—32no—
390#940—62no—
391#940C2×D312yescomplemented
392#939—32no—
393#939—32no—
394#939—32no—
395#939—32no—
396#939—32no—
397#939—32no—
398#939—32no—
399#939—32no—
400#939—32no—
401#939—32no—
402#938—31no—
403#938—31no—
404#938—32no—
405#938—32no—
406#938—31no—
407#938—32no—
408#938—32no—
409#938—32no—
410#938—31no—
411#938—61no—
412#938C2×D311yescharacteristic, complemented
413#938C2×D311yescharacteristic, complemented
414#937—32no—
415#937—32no—
416#937—32no—
417#937—32no—
418#937—62no—
419#937C2×D312yescomplemented
420#937C2×D312yescomplemented
421D4×Dic3—32no—
422D4×Dic3C2×D312yescomplemented
423#930—31no—
424#930—31no—
425#930—32no—
426#930—32no—
427#930—31no—
428#930—32no—
429#930—31no—
430#930—31no—
431#930—61no—
432#930C2×D311yescharacteristic, complemented
433C2×(C2×D3)⋊C4—32no—
434C2×C4⋊Dic3—31no—
435C2×C4⋊Dic3—31no—
436#924—31no—
437#924—32no—
438#924C2×D311yescharacteristic, complemented
439#897—31no—
440#897C2×D311yescharacteristic, complemented
441#896—32no—
442#896—32no—
443#895—32no—
444#895—31no—
445#895—31no—
446#895—31no—
447#895—31no—
448#895—31no—
449#895—32no—
450#895—61no—
451#895C2×D311yescharacteristic, complemented
452#894—32no—
453#894—32no—
454#893—32no—
455#893—32no—
456#892—31no—
457#892—31no—
458#892—61no—
459#892C2×D311yescharacteristic, complemented
460#892C2×D311yescharacteristic, complemented
461D3×C4⋊C4—31no—
462D3×C4⋊C4—31no—
463D3×C4⋊C4—31no—
464D3×C4⋊C4—31no—
465#886—32no—
466#885—32no—
467#885—32no—
468#885—32no—
469#885—62no—
470#885C2×D312yescomplemented
471#884—32no—
472#884—32no—
473#884—32no—
474#884—32no—
475#884—32no—
476#884—32no—
477#884—32no—
478#884—32no—
479#884—32no—
480#884—32no—
481#883—32no—
482#883C2×D312yescomplemented
483#882—32no—
484#882—32no—
485#882—32no—
486#882—32no—
487#882—32no—
488#882—32no—
489#882—32no—
490#882—32no—
491#882—62no—
492#882C2×D312yescomplemented
493#67⋊C4—32no—
494#67⋊C4—32no—
495#67⋊C4—32no—
496#67⋊C4—32no—
497#67⋊C4—32no—
498#67⋊C4—32no—
499#67⋊C4—32no—
500#67⋊C4C2×D312yescomplemented
501D3×C22⋊C4—32no—
502D3×C22⋊C4—32no—
503D3×C22⋊C4—32no—
504D3×C22⋊C4—32no—
505#878—32no—
506#878—32no—
507#875—32no—
508#874—32no—
509C4×D12—32no—
510C4×D12—32no—
511C4×D12—32no—
512C4×D12—32no—
513C4×Dic6—32no—
514C4×Dic6—32no—
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×Dic3C2411yescharacteristic
573C2×C3×Dic3C2412yes—
574C2×C3×Dic3C2412yes—
575C2×C3×Dic3C2412yes—
576C2×C3×Dic3C2411yescharacteristic
577C2×C3×Dic3C2411yescharacteristic
578C2×C3×Dic3C2411yescharacteristic
579C3×D12—22no—
580C3×D12—22no—
581C3×D12—42no—
582C3×C4×D3—22no—
583C3×C4×D3—22no—
584C3×C4×D3—22no—
585C3×C4×D3—22no—
586C3×C4×D3C2×D414yescomplemented
587C3×C4×D3C2×D414yescomplemented
588C3×Dic6—22no—
589C3×Dic6—22no—
590#627—22no—
591#627C2×D414yescomplemented
592#626—24no—
593#626—22no—
594#626—24no—
595#626—24no—
596#626—22no—
597#626—24no—
598#626—42no—
599#626—42no—
600#626C2×D414yescomplemented
601#626C2×D414yescomplemented
602#625—22no—
603#625—24no—
604#625C2×D414yescomplemented
605#624—22no—
606#624—22no—
607#624—24no—
608#624—42no—
609D3×Dic3—22no—
610D3×Dic3—22no—
611D3×Dic3—22no—
612D3×Dic3—24no—
613D3×Dic3—22no—
614D3×Dic3—42no—
615D3×Dic3—42no—
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—91no—
627#537—91no—
628#537—91no—
629#535—31no—
630#535—91no—
631#535—91no—
632#525—31no—
633#525—91no—
634#525—91no—
635C2×#121—91no—
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—31no—
660C2×C3×D4—32no—
661C2×C3×D4—31no—
662C2×C3×D4—32no—
663C2×C3×D4—32no—
664C2×C3×D4—32no—
665C2×C3×D4—31no—
666C2×C3×D4—31no—
667C2×C3×D4—32no—
668C2×C3×D4—64no—
669C2×C3×D4C22×D311yescharacteristic
670C2×C3×D4C22×D311yescharacteristic
671C2×C3×D4C22×D312yes—
672C2×C3×D4C22×D312yes—
673C22×C3×C4—21no—
674C22×C3×C4—31no—
675C22×C3×C4—31no—
676C22×C3×C4—32no—
677C22×C3×C4—31no—
678C22×C3×C4—31no—
679C22×C3×C4—31no—
680C22×C3×C4—31no—
681C22×C3×C4—31no—
682C22×C3×C4—64no—
683C22×C3×C4C22×D311yescharacteristic
684C22×C3×C4C22×D311yescharacteristic
685C2×#67—31no—
686C2×#67—31no—
687C2×#67—31no—
688C2×#67—31no—
689C2×#67—32no—
690C2×#67—32no—
691C2×#67—31no—
692C2×#67—31no—
693C2×#67—32no—
694C2×#67—32no—
695C2×#67—31no—
696C2×#67—31no—
697C2×#67—32no—
698C2×#67—32no—
699C2×#67—32no—
700C2×#67—32no—
701C2×#67—31no—
702C2×#67—31no—
703C2×#67—32no—
704C2×#67—31no—
705C2×#67—32no—
706C2×#67—32no—
707C2×#67—32no—
708C2×#67—31no—
709C2×#67—32no—
710C2×#67—32no—
711C2×#67—62no—
712C2×#67—61no—
713C2×#67—61no—
714C2×#67—62no—
715C2×#67—62no—
716C2×#67—68no—
717C2×#67—64no—
718C2×#67—64no—
719C2×#67—68no—
720C2×#67—124no—
721C2×#67—124no—
722C2×#67C22×D312yes—
723C2×#67C22×D312yes—
724C2×#67C22×D311yescharacteristic
725C2×#67C22×D311yescharacteristic
726C2×#67C22×D312yes—
727C2×#67C22×D312yes—
728C2×#67C22×D312yes—
729C22×Dic3—32no—
730C22×Dic3—31no—
731C22×Dic3—31no—
732C22×Dic3—31no—
733C22×Dic3—31no—
734C22×Dic3—32no—
735C22×Dic3—32no—
736C22×Dic3C22×D312yes—
737C22×Dic3C22×D311yescharacteristic
738#239—64no—
739#239—64no—
740#239—64no—
741D3×Q8—64no—
742#237—24no—
743#237—64no—
744#237—68no—
745#237—64no—
746#237—64no—
747#237—64no—
748D3×D4—24no—
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—
762D3×D4—124no—
763#235—24no—
764#235—38no—
765#235—38no—
766#235—64no—
767#235—64no—
768#235—64no—
769#235—68no—
770#235—64no—
771#235—64no—
772#235—64no—
773#235—64no—
774#235—64no—
775#235—64no—
776#235—124no—
777C2×D12—31no—
778C2×D12—31no—
779C2×D12—32no—
780C2×D12—31no—
781C2×D12—32no—
782C2×D12—31no—
783C2×D12—32no—
784C2×D12—32no—
785C2×D12—31no—
786C2×D12—31no—
787C2×D12—31no—
788C2×D12—31no—
789C2×D12—32no—
790C2×D12—32no—
791C2×D12—32no—
792C2×D12—32no—
793C2×D12—61no—
794C2×D12—61no—
795C2×D12—62no—
796C2×D12—64no—
797C2×D12—64no—
798C2×D12—68no—
799C2×D12C22×D311yescharacteristic
800C2×D12C22×D311yescharacteristic
801C2×D12C22×D312yes—
802C2×C4×D3—24no—
803C2×C4×D3—31no—
804C2×C4×D3—31no—
805C2×C4×D3—31no—
806C2×C4×D3—31no—
807C2×C4×D3—31no—
808C2×C4×D3—32no—
809C2×C4×D3—31no—
810C2×C4×D3—31no—
811C2×C4×D3—31no—
812C2×C4×D3—31no—
813C2×C4×D3—32no—
814C2×C4×D3—31no—
815C2×C4×D3—31no—
816C2×C4×D3—32no—
817C2×C4×D3—31no—
818C2×C4×D3—32no—
819C2×C4×D3—32no—
820C2×C4×D3—32no—
821C2×C4×D3—32no—
822C2×C4×D3—61no—
823C2×C4×D3—61no—
824C2×C4×D3—64no—
825C2×C4×D3—64no—
826C2×C4×D3—64no—
827C2×C4×D3—64no—
828C2×C4×D3C22×D311yescharacteristic
829C2×C4×D3C22×D311yescharacteristic
830C2×C4×D3C22×D311yescharacteristic
831C2×C4×D3C22×D311yescharacteristic
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—31no—
846C3×C4⋊C4—31no—
847C3×C4⋊C4—32no—
848C3×C4⋊C4—32no—
849C3×C4⋊C4C22×D311yescharacteristic
850C3×C4⋊C4C22×D311yescharacteristic
851C3×C22⋊C4—22no—
852C3×C22⋊C4—32no—
853C3×C22⋊C4—32no—
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—
862C3×C42—32no—
863C3×C42—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—62no—
889(C2×D3)⋊C4—62no—
890(C2×D3)⋊C4—62no—
891(C2×D3)⋊C4C22×D312yes—
892(C2×D3)⋊C4C22×D312yes—
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—32no—
900C4⋊Dic3—32no—
901C4⋊Dic3—61no—
902C4⋊Dic3C22×D312yes—
903C4⋊Dic3C22×D311yescharacteristic
904C4⋊Dic3C22×D311yescharacteristic
905Dic3⋊C4—32no—
906Dic3⋊C4—32no—
907Dic3⋊C4—32no—
908Dic3⋊C4—32no—
909Dic3⋊C4—32no—
910Dic3⋊C4—32no—
911Dic3⋊C4—32no—
912Dic3⋊C4C22×D312yes—
913C4×Dic3—32no—
914C4×Dic3—32no—
915C4×Dic3—62no—
916C4×Dic3C22×D312yes—
917C4×Dic3C22×D312yes—
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—22no—
944C2×C3×D3—21no—
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—91no—
985C22×D4—91no—
986C22×D4—92no—
987C22×D4—92no—
988C22×D4—92no—
989C22×D4—91no—
990C22×D4—91no—
991C22×D4—92no—
992C22×D4—92no—
993C22×D4—92no—
994C22×D4—91no—
995C23×C4—31no—
996C23×C4—91no—
997C23×C4—91no—
998#127—32no—
999#127—92no—
1000#127—92no—
1001#124—32no—
1002#124—92no—
1003#124—92no—
1004#123—32no—
1005#123—92no—
1006#123—92no—
1007C22⋊Q8—31no—
1008C22⋊Q8—31no—
1009C22⋊Q8—92no—
1010C22⋊Q8—92no—
1011C22⋊Q8—91no—
1012C22⋊Q8—92no—
1013C22⋊Q8—91no—
1014#121—31no—
1015#121—31no—
1016#121—31no—
1017#121—31no—
1018#121—92no—
1019#121—92no—
1020#121—92no—
1021#121—92no—
1022#121—92no—
1023#121—92no—
1024#121—92no—
1025#121—92no—
1026#121—92no—
1027#121—92no—
1028#121—91no—
1029#121—91no—
1030#121—91no—
1031#121—92no—
1032#121—91no—
1033#121—92no—
1034#121—92no—
1035#121—92no—
1036#121—92no—
1037#121—91no—
1038#121—91no—
1039#121—91no—
1040#121D3211yescharacteristic, complemented
1041#120—32no—
1042#120—32no—
1043#120—32no—
1044#120—92no—
1045#120—92no—
1046#120—92no—
1047#120—92no—
1048#120—92no—
1049#120—92no—
1050C4×Q8—92no—
1051C4×D4—32no—
1052C4×D4—32no—
1053C4×D4—92no—
1054C4×D4—92no—
1055C4×D4—92no—
1056C4×D4—92no—
1057C4×D4—92no—
1058C4×D4—92no—
1059C4×D4—92no—
1060#117—31no—
1061#117—31no—
1062#117—91no—
1063C2×C4⋊C4—91no—
1064C2×C4⋊C4—91no—
1065C2×C4⋊C4—91no—
1066C2×C22⋊C4—92no—
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—62no—
1143C3×D4—64no—
1144C3×D4—62no—
1145C3×D4—64no—
1146C3×D4—62no—
1147C3×D4—82no—
1148C3×D4—122no—
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×C4C23×D312yes—
1173C2×C3×C4C23×D312yes—
1174C2×C3×C4C23×D311yescharacteristic
1175C2×C3×C4C23×D311yescharacteristic
1176C2×C3×C4C23×D311yescharacteristic
1177C2×C3×C4C23×D311yescharacteristic
1178#67—22no—
1179#67—24no—
1180#67—24no—
1181#67—22no—
1182#67—24no—
1183#67—34no—
1184#67—34no—
1185#67—34no—
1186#67—34no—
1187#67—42no—
1188#67—42no—
1189#67—64no—
1190#67—62no—
1191#67—64no—
1192#67—64no—
1193#67—62no—
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—64no—
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—242no—
1215#67—242no—
1216C2×Dic3—22no—
1217C2×Dic3—24no—
1218C2×Dic3—31no—
1219C2×Dic3—31no—
1220C2×Dic3—32no—
1221C2×Dic3—32no—
1222C2×Dic3—31no—
1223C2×Dic3—31no—
1224C2×Dic3—61no—
1225C2×Dic3—62no—
1226C2×Dic3—61no—
1227C2×Dic3—62no—
1228C2×Dic3—62no—
1229C2×Dic3—64no—
1230C2×Dic3—62no—
1231C2×Dic3—62no—
1232C2×Dic3—122no—
1233C2×Dic3—122no—
1234C2×Dic3C23×D312yes—
1235C2×Dic3C23×D312yes—
1236C2×Dic3C23×D311yescharacteristic
1237C2×Dic3C23×D312yes—
1238C2×Dic3C23×D311yescharacteristic
1239C2×Dic3C23×D311yescharacteristic
1240C2×Dic3C23×D311yescharacteristic
1241D12—22no—
1242D12—22no—
1243D12—34no—
1244D12—34no—
1245D12—42no—
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—64no—
1270C4×D3—62no—
1271C4×D3—64no—
1272C4×D3—62no—
1273C4×D3—62no—
1274C4×D3—62no—
1275C4×D3—62no—
1276C4×D3—64no—
1277C4×D3—62no—
1278C4×D3—62no—
1279C4×D3—62no—
1280C4×D3—62no—
1281C4×D3—62no—
1282C4×D3—64no—
1283C4×D3—122no—
1284C4×D3—122no—
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—31no—
1344C2×D4—31no—
1345C2×D4—32no—
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—92no—
1359C2×D4—91no—
1360C2×D4—91no—
1361C2×D4—92no—
1362C2×D4—91no—
1363C2×D4—92no—
1364C2×D4—92no—
1365C2×D4—91no—
1366C2×D4—91no—
1367C2×D4—92no—
1368C2×D4—184no—
1369C2×D4—184no—
1370C2×D4—188no—
1371C2×D4—184no—
1372C2×D4—188no—
1373C2×D4—184no—
1374C2×D4—184no—
1375C2×D4—188no—
1376C2×D4—364no—
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—64no—
1390C22×C4—91no—
1391C22×C4—91no—
1392C22×C4—92no—
1393C22×C4—92no—
1394C22×C4—91no—
1395C22×C4—91no—
1396C22×C4—91no—
1397C22×C4—91no—
1398C22×C4—92no—
1399C22×C4—92no—
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—92no—
1411C4⋊C4—92no—
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—32no—
1424C22⋊C4—32no—
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—32no—
1437C42—32no—
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—21no—
1448C22×C3—22no—
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—62no—
1470C22×C3—61no—
1471C22×C3—61no—
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—21no—
1486C2×D3—22no—
1487C2×D3—21no—
1488C2×D3—22no—
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—61no—
1506C2×D3—62no—
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#100912yescomplemented
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—62no—
1599D4—64no—
1600D4—62no—
1601D4—64no—
1602D4—62no—
1603D4—64no—
1604D4—62no—
1605D4—94no—
1606D4—94no—
1607D4—94no—
1608D4—122no—
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—184no—
1623D4—182no—
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—182no—
1650C2×C4—184no—
1651C2×C4—182no—
1652C2×C4—182no—
1653C2×C4—182no—
1654C2×C4—182no—
1655C2×C4—184no—
1656C2×C4—182no—
1657C2×C4—182no—
1658C2×C4—362no—
1659C2×C4—362no—
1660C2×C4—362no—
1661C2×C4C22×D3212yes—
1662C2×C4C22×D3211yescharacteristic
1663C2×C4C22×D3211yescharacteristic
1664C2×C3—21no—
1665C2×C3—21no—
1666C2×C3—21no—
1667C2×C3—41no—
1668C2×C3—42no—
1669C2×C3—42no—
1670C2×C3—41no—
1671C2×C3—62no—
1672C2×C3—62no—
1673C2×C3—62no—
1674C2×C3—82no—
1675C2×C3—81no—
1676C2×C3—121no—
1677C2×C3—122no—
1678C2×C3C22×D3×D411yescharacteristic
1679C2×C3C22×D3×D411yescharacteristic
1680C2×C3C2×#100911yescharacteristic
1681C2×C3#596411yescharacteristic
1682C2×C3D3×H(5,𝔽2)11yescharacteristic
1683C2×C3#596611yescharacteristic
1684D3—22no—
1685D3—22no—
1686D3—22no—
1687D3—42no—
1688D3—41no—
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—22no—
1703C22—21no—
1704C22—32no—
1705C22—32no—
1706C22—32no—
1707C22—61no—
1708C22—61no—
1709C22—61no—
1710C22—61no—
1711C22—61no—
1712C22—61no—
1713C22—61no—
1714C22—62no—
1715C22—61no—
1716C22—62no—
1717C22—61no—
1718C22—62no—
1719C22—92no—
1720C22—124no—
1721C22—181no—
1722C22—181no—
1723C22—181no—
1724C22—182no—
1725C22—181no—
1726C22—182no—
1727C22—182no—
1728C22—181no—
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#8604111yescharacteristic, complemented
1750C3#8633111yescharacteristic, complemented
1751C2—41no—
1752C2—42no—
1753C2—62no—
1754C2—62no—
1755C2—62no—
1756C2—122no—
1757C2—121no—
1758C2—182no—
1759C2—361no—
1760C2—362no—
1761C2C2×D32×D411yescharacteristic
1762C2#1059667811yescharacteristic
1763C2D3×#100911yescharacteristic
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×#5607C2semidirect
5. C3×#5606C2semidirect
6. #10595295C2semidirect
7. #10595289C2semidirect
8. #10595282C2semidirect
9. D3×#938C2semidirect
10. #10595232C2semidirect
11. #10595143C2semidirect
12. #10595135C2semidirect
13. D3×#930C2semidirect
14. #10594923C2semidirect
15. #10594894C2semidirect
16. #10594632C2semidirect
17. #10594628C2semidirect
18. #10594627C2semidirect
19. #10594511C2semidirect
20. #10594282C2semidirect
21. #10594277C2semidirect
22. #10594274C2semidirect
23. #10594073C2semidirect
26. C2×D4×C3⋊D3C22semidirect
27. C2×#3828C22semidirect
28. C2×C3×#237C22semidirect
29. C2×C3×D3×D4C22semidirect
30. C2×C3×#235C22semidirect
31. C22×C3×C4×D3C22semidirect
32. C2×#3811C22semidirect
33. C2×#3811C22semidirect
34. C2×D3×#67C22semidirect
35. C2×D3×#67C22semidirect
36. C2×D3×#67C22semidirect
37. C2×D3×#67C22semidirect
38. C2×D3×#67C22semidirect
39. C22×#626C22semidirect
40. C2×#3804C22semidirect
41. C2×#3804C22semidirect
42. C2×#3804C22semidirect
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×#940C22semidirect
66. C3×#938C22semidirect
67. C3×#938C22semidirect
68. C3×#937C22semidirect
69. C3×#937C22semidirect
70. C3×D4×Dic3C22semidirect
71. C3×#930C22semidirect
72. C3×#924C22semidirect
73. C3×#897C22semidirect
74. C3×#895C22semidirect
75. C3×#892C22semidirect
76. C3×#892C22semidirect
77. C3×#885C22semidirect
78. C3×#883C22semidirect
79. C3×#882C22semidirect
80. C3×#67⋊C4C22semidirect
81. #63978C22semidirect
82. #63978C22semidirect
83. #63974C22semidirect
84. #63971C22semidirect
85. #63971C22semidirect
86. #63971C22semidirect
87. #63971C22semidirect
88. #63971C22semidirect
89. #63970C22semidirect
90. #63970C22semidirect
91. D3×#217C22semidirect
92. #63964C22semidirect
93. #63958C22semidirect
94. #63958C22semidirect
95. #63958C22semidirect
96. #63923C22semidirect
97. #63923C22semidirect
98. #63922C22semidirect
99. #63922C22semidirect
100. D3×(C2×D3)⋊C4C22semidirect
101. C4×#627C22semidirect
102. #63916C22semidirect
103. #63911C22semidirect
104. #63910C22semidirect
105. #63909C22semidirect
106. #63909C22semidirect
107. #63908C22semidirect
108. #63906C22semidirect
109. #63902C22semidirect
110. #63902C22semidirect
111. #63900C22semidirect
112. #63898C22semidirect
113. #63896C22semidirect
114. #63894C22semidirect
115. #63890C22semidirect
116. D3×C4⋊Dic3C22semidirect
117. D3×C4⋊Dic3C22semidirect
118. #63888C22semidirect
119. #63886C22semidirect
120. #63880C22semidirect
121. #63880C22semidirect
122. #63880C22semidirect
123. #63871C22semidirect
124. #63856C22semidirect
125. #63854C22semidirect
126. #63852C22semidirect
153. #5607D3semidirect
155. #5606D3semidirect
264. #3798D4semidirect
324. C2×#237C2×D3semidirect
339. C2×D3×D4C2×D3semidirect
354. C2×#235C2×D3semidirect
362. C22×C4×D3C2×D3semidirect
374. C3×#121C2×D3semidirect
375. C3×#121C2×D3semidirect
391. #940C2×D3semidirect
412. #938C2×D3semidirect
413. #938C2×D3semidirect
419. #937C2×D3semidirect
420. #937C2×D3semidirect
422. D4×Dic3C2×D3semidirect
432. #930C2×D3semidirect
438. #924C2×D3semidirect
440. #897C2×D3semidirect
451. #895C2×D3semidirect
459. #892C2×D3semidirect
460. #892C2×D3semidirect
470. #885C2×D3semidirect
482. #883C2×D3semidirect
492. #882C2×D3semidirect
500. #67⋊C4C2×D3semidirect
561. C4×C3⋊D3C2×D4semidirect
586. C3×C4×D3C2×D4semidirect
587. C3×C4×D3C2×D4semidirect
591. #627C2×D4semidirect
600. #626C2×D4semidirect
601. #626C2×D4semidirect
604. #625C2×D4semidirect
951. C2×C3×D3H(5,𝔽2)semidirect
1040. #121D32semidirect
1288. C4×D3D3×D4semidirect
1289. C4×D3D3×D4semidirect
1529. C2×D3#1009semidirect
1562. C32#3488semidirect
1749. C3#86041semidirect
1750. C3#86331semidirect

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×#56072
C3×#56062
#105952952
#105952892
#105952822
D3×#9382
#105952322
#105951432
#105951352
D3×#9302
#105949232
#105948942
#105946322
#105946282
#105946272
#105945112
#105942822
#105942772
#105942742
#105940732
#863313
#860413