Finite Group Databasebeta

← #11904659

Subgroups — #11904659

Order 1152.

3529 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64314C211yesmaximal, characteristic, complemented
2C22×#3798C211yesmaximal, characteristic, complemented
3C3⋊D3×#121C211yesmaximal, characteristic, complemented
4C3×#5606C211yesmaximal, characteristic, complemented
5C3×D3×#121C211yesmaximal, characteristic, complemented
6#10595292C212yesmaximal, complemented
7#10595287C212yesmaximal, complemented
8#10595241C211yesmaximal, characteristic, complemented
9#10595232C211yesmaximal, characteristic, complemented
10#10595231C211yesmaximal, characteristic, complemented
11D4×#626C212yesmaximal, complemented
12#10595141C212yesmaximal, complemented
13D3×#930C211yesmaximal, characteristic, complemented
14#10595005C211yesmaximal, characteristic, complemented
15#10594922C211yesmaximal, characteristic, complemented
16#10594628C211yesmaximal, characteristic, complemented
17#10594528C211yesmaximal, characteristic, complemented
18#10594523C211yesmaximal, characteristic, complemented
19#10594510C211yesmaximal, characteristic, complemented
20#10594279C212yesmaximal, complemented
21#10594272C212yesmaximal, complemented
22#10594246C212yesmaximal, complemented
23#10594186C212yesmaximal, complemented
24#86041—31nomaximal
25#85949—31nomaximal
26C2×D4×C3⋊D3C2211yescharacteristic, complemented
27C2×D4×C3⋊D3C2212yescomplemented
28C22×C4×C3⋊D3C2211yescharacteristic, complemented
29C2×C3×#237C2211yescharacteristic, complemented
30C2×C3×D3×D4C2211yescharacteristic, complemented
31C2×C3×D3×D4C2212yescomplemented
32C22×C3×C4×D3C2211yescharacteristic, complemented
33C22×C3×C4×D3C2211yescharacteristic, complemented
34C2×#3811C2212yescomplemented
35C2×D3×#67C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C22×#627C2211yescharacteristic, complemented
38C22×#626C2211yescharacteristic, complemented
39C22×#626C2211yescharacteristic, complemented
40C22×#626C2212yescomplemented
41C22×#625C2211yescharacteristic, complemented
42C2×#3804C2212yescomplemented
43#64314—28no—
44C2×D3×D12C2211yescharacteristic, complemented
45C2×#3799C2211yescharacteristic, complemented
46C2×#3798—28no—
47C2×#3798C2211yescharacteristic
48C2×#3798C2211yescharacteristic, complemented
49C2×#3798C2211yescharacteristic, complemented
50C2×#3798C2211yescharacteristic, complemented
51C2×#3798C2211yescharacteristic, complemented
52C2×#3798C2211yescharacteristic, complemented
53C2×#3798C2211yescharacteristic, complemented
54C2×#3798C2211yescharacteristic, complemented
55C2×#3796C2211yescharacteristic, complemented
56C32×#121C2211yescharacteristic, complemented
57#64148C2212yescomplemented
58#64147C2211yescharacteristic, complemented
59#64139C2211yescharacteristic, complemented
60#64104C2211yescharacteristic, complemented
61C4⋊C4×C3⋊D3C2211yescharacteristic, complemented
62#64093C2212yescomplemented
63C22⋊C4×C3⋊D3C2212yescomplemented
64C3×#939C2212yescomplemented
65C3×#938C2211yescharacteristic, complemented
66C3×#938C2211yescharacteristic, complemented
67C3×#937C2212yescomplemented
68C3×D4×Dic3C2212yescomplemented
69C3×#930C2211yescharacteristic, complemented
70C3×#924C2211yescharacteristic, complemented
71C3×#897C2211yescharacteristic, complemented
72C3×#895C2211yescharacteristic, complemented
73C3×#892C2211yescharacteristic, complemented
74C3×D3×C4⋊C4C2211yescharacteristic, complemented
75C3×#884C2212yescomplemented
76C3×#883C2212yescomplemented
77C3×#67⋊C4C2212yescomplemented
78C3×D3×C22⋊C4C2212yescomplemented
79#63981C2212yescomplemented
80#63981C2212yescomplemented
81#63981C2212yescomplemented
82#63979C2212yescomplemented
83#63979C2212yescomplemented
84#63978C2212yescomplemented
85#63978C2212yescomplemented
86#63977C2212yescomplemented
87#63977C2212yescomplemented
88#63976C2212yescomplemented
89#67⋊Dic3C2212yescomplemented
90#63971C2212yescomplemented
91#63970C2212yescomplemented
92#63964C2212yescomplemented
93#63959C2212yescomplemented
94#63953C2212yescomplemented
95#63952C2212yescomplemented
96#63923C2212yescomplemented
97#63922C2212yescomplemented
98D3×(C2×D3)⋊C4C2212yescomplemented
99#63916C2211yescharacteristic, complemented
100#63916C2212yescomplemented
101#63912C2212yescomplemented
102#63911C2212yescomplemented
103#63910C2212yescomplemented
104#63909C2211yescharacteristic, complemented
105#63909C2212yescomplemented
106#63909C2211yescharacteristic, complemented
107#63908C2211yescharacteristic, complemented
108#63906C2212yescomplemented
109#63906C2212yescomplemented
110#63904C2212yescomplemented
111C4×#626C2212yescomplemented
112#63899C2212yescomplemented
113#63895C2212yescomplemented
114D3×C4⋊Dic3C2211yescharacteristic, complemented
115#63885C2212yescomplemented
116#63881C2212yescomplemented
117#63881C2212yescomplemented
118#63879C2212yescomplemented
119#63871C2211yescharacteristic, complemented
120#63856C2211yescharacteristic, complemented
121#63853C2212yescomplemented
122#63852C2212yescomplemented
123#63850C2212yescomplemented
124#63849C2211yescharacteristic, complemented
125#63841C2211yescharacteristic, complemented
126#63837C2212yescomplemented
127C2×#1009—31no—
128C2×#1004—31no—
129C22×#235—31no—
130C22×#235—31no—
131C3×#525—31no—
132C2×C3×#121—31no—
133#5833—31no—
134#5805—31no—
135D4×#67—32no—
136D4×#67—32no—
137#5791—31no—
138C2×#930—31no—
139#5654—32no—
140#5654—32no—
141#5629—31no—
142#5629—31no—
143#5627—31no—
144#5627—31no—
145#5612—32no—
146#5609—32no—
147#5608—31no—
148#5608—31no—
149#5607—31no—
150#5607—31no—
151#5607—31no—
152#5607—31no—
153#5606—31no—
154#5606D311yescharacteristic, complemented
155D3×#121—31no—
156D3×#121—31no—
157D3×#121—31no—
158D3×#121—61no—
159D3×#121D311yescharacteristic, complemented
160#5599—32no—
161#5598—32no—
162#5590—32no—
163#5590—32no—
164#5553—32no—
165#5552—32no—
166#5550—32no—
167D4×D12—32no—
168#5525—31no—
169#5523—31no—
170#5510—31no—
171#5504—31no—
172#5490—32no—
173#5490—32no—
174C23×C3⋊D3C2311yescharacteristic
175C23×C3⋊D3C2312yes—
176C23×C3×D3C2311yescharacteristic
177C23×C3×D3C2311yescharacteristic
178C23×C3×D3C2312yes—
179C22×D32C2312yes—
180C2×C32×D4C2312yes—
181C2×C32×D4C2311yescharacteristic
182C22×C32×C4C2311yescharacteristic
183C2×#638C2312yes—
184C2×#638C2312yes—
185C2×#638C2312yes—
186C22×C3⋊Dic3C2311yescharacteristic
187D4×C3⋊D3—24no—
188D4×C3⋊D3—44no—
189C2×C4⋊(C3⋊D3)C2311yescharacteristic
190C2×C4⋊(C3⋊D3)C2312yes—
191C2×C4×C3⋊D3—24no—
192C2×C4×C3⋊D3C2311yescharacteristic
193C2×C4×C3⋊D3C2311yescharacteristic
194C2×C4×C3⋊D3C2311yescharacteristic
195C2×C4×C3⋊D3C2312yes—
196C2×C4×C3⋊D3C2311yescharacteristic
197C2×C3×#67C2312yes—
198C2×C3×#67C2312yes—
199C2×C3×#67C2312yes—
200C2×C3×#67C2312yes—
201C2×C3×#67C2312yes—
202C22×C3×Dic3C2312yes—
203C22×C3×Dic3C2311yescharacteristic
204C22×C3×Dic3C2311yescharacteristic
205C3×#237—24no—
206C3×D3×D4—24no—
207C3×D3×D4—44no—
208C2×C3×D12C2311yescharacteristic
209C2×C3×D12C2312yes—
210C2×C3×C4×D3—24no—
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×C4×D3C2312yes—
219C2×C3×C4×D3C2311yescharacteristic
220C2×C3×C4×D3C2311yescharacteristic
221C2×C3×Dic6C2311yescharacteristic
222#3811—28no—
223D3×#67—28no—
224D3×#67—44no—
225C2×#627—24no—
226C2×#627C2311yescharacteristic
227C2×#627C2311yescharacteristic
228C2×#627C2311yescharacteristic
229C2×#627C2311yescharacteristic
230C2×#626—24no—
231C2×#626—24no—
232C2×#626—28no—
233C2×#626C2312yes—
234C2×#626C2311yescharacteristic
235C2×#626C2311yescharacteristic
236C2×#626C2311yescharacteristic
237C2×#626C2311yescharacteristic
238C2×#626C2311yescharacteristic
239C2×#626C2311yescharacteristic
240C2×#626C2312yes—
241C2×#626C2312yes—
242C2×#626C2312yes—
243C2×#626C2312yes—
244C2×#626C2312yes—
245C2×#626C2311yescharacteristic
246C2×#626C2311yescharacteristic
247C2×#625—24no—
248C2×#625C2311yescharacteristic
249C2×#625C2311yescharacteristic
250C2×#625C2311yescharacteristic
251C2×#625C2312yes—
252C2×#625C2311yescharacteristic
253C2×#624C2312yes—
254#3804—28no—
255C2×D3×Dic3C2312yes—
256C2×D3×Dic3C2312yes—
257D3×D12—24no—
258#3799—24no—
259#3798—24no—
260#3798—24no—
261#3798—24no—
262#3798—24no—
263#3798—24no—
264#3798—24no—
265#3798—24no—
266#3798D418yescomplemented
267#3796—24no—
268C32×C4⋊C4C2311yescharacteristic
269C32×C22⋊C4C2312yes—
270#3757C2312yes—
271#3752C2312yes—
272#3752C2312yes—
273C4⋊(C3⋊Dic3)C2311yescharacteristic
274#3750C2312yes—
275C3×#217C2312yes—
276C3×#217C2312yes—
277C3×#217C2312yes—
278C3×(C2×D3)⋊C4C2312yes—
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×C4×Dic3C2312yes—
288#3724C2312yes—
289Dic3⋊Dic3C2312yes—
290Dic3⋊Dic3C2312yes—
291#3722C2312yes—
292#3722C2312yes—
293#3722C2312yes—
294#3722C2312yes—
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—
303C22×C3×D4—31no—
304C22×C3×D4—32no—
305C23×C3×C4—31no—
306C23×C3×C4—31no—
307C22×#67—31no—
308C22×#67—31no—
309C22×#67—32no—
310C22×#67—32no—
311C22×#67—31no—
312C22×#67—31no—
313C22×#67—32no—
314#1009—68no—
315C2×#239—31no—
316C2×#239—31no—
317#1004—68no—
318C2×#237—32no—
319C2×#237—31no—
320C2×#237C2×D311yescharacteristic, complemented
321C2×D3×D4—32no—
322C2×D3×D4—31no—
323C2×D3×D4—31no—
324C2×D3×D4—32no—
325C2×D3×D4—32no—
326C2×D3×D4—32no—
327C2×D3×D4—32no—
328C2×D3×D4—32no—
329C2×D3×D4—31no—
330C2×D3×D4—61no—
331C2×D3×D4—62no—
332C2×D3×D4C2×D311yescharacteristic, complemented
333C2×D3×D4C2×D312yescomplemented
334C2×#235—32no—
335C2×#235—31no—
336C2×#235—31no—
337C2×#235—31no—
338C2×#235—31no—
339C2×#235—31no—
340C2×#235—31no—
341C2×#235—31no—
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—31no—
352C2×#235—68no—
353C2×#235—68no—
354C22×D12—31no—
355C22×D12—31no—
356C22×D12—32no—
357C22×D12—31no—
358C22×C4×D3—31no—
359C22×C4×D3—31no—
360C22×C4×D3—61no—
361C22×C4×D3C2×D311yescharacteristic, complemented
362C22×C4×D3C2×D311yescharacteristic, complemented
363C22×Dic6—31no—
364C22×Dic6—31no—
365C3×#123—32no—
366C3×C22⋊Q8—31no—
367C3×C22⋊Q8—31no—
368C3×#121—21no—
369C3×#121—31no—
370C3×#121—31no—
371C3×#121—32no—
372C3×#121—31no—
373C3×#121—31no—
374C3×#121—32no—
375C3×#121C2×D311yescharacteristic, complemented
376C3×#121C2×D311yescharacteristic, complemented
377C3×#120—32no—
378C3×C4×D4—32no—
379C3×C4×D4—32no—
380C3×#117—31no—
381C2×C3×C4⋊C4—31no—
382C2×C3×C22⋊C4—32no—
383#953—32no—
384#953—32no—
385#953—32no—
386#946—31no—
387#946—31no—
388#940—32no—
389#940—32no—
390#940—32no—
391#940—32no—
392#940—32no—
393#939—32no—
394#939—32no—
395#939—32no—
396#939—32no—
397#939—32no—
398#939—32no—
399#939—32no—
400#939—62no—
401#939C2×D312yescomplemented
402#938—31no—
403#938—31no—
404#938—32no—
405#938—31no—
406#938—32no—
407#938—31no—
408#938—61no—
409#938C2×D311yescharacteristic, complemented
410#938C2×D311yescharacteristic, complemented
411#937—32no—
412#937—32no—
413#937—32no—
414#937—32no—
415#937—32no—
416#937C2×D312yescomplemented
417#936—32no—
418D4×Dic3—32no—
419D4×Dic3C2×D312yescomplemented
420#930—31no—
421#930—31no—
422#930—32no—
423#930—32no—
424#930—31no—
425#930—32no—
426#930—32no—
427#930—32no—
428#930—31no—
429#930—31no—
430#930—61no—
431#930C2×D311yescharacteristic, complemented
432#929—32no—
433C4×#67—32no—
434C4×#67—32no—
435C4×#67—32no—
436C4×#67—32no—
437C2×(C2×D3)⋊C4—32no—
438#926—31no—
439C2×C4⋊Dic3—31no—
440#924—31no—
441#924—32no—
442#924C2×D311yescharacteristic, complemented
443#897—31no—
444#897—32no—
445#897C2×D311yescharacteristic, complemented
446#896—32no—
447#896—32no—
448#895—32no—
449#895—31no—
450#895—32no—
451#895—31no—
452#895—31no—
453#895—31no—
454#895—31no—
455#895—32no—
456#895—61no—
457#895C2×D311yescharacteristic, complemented
458#894—32no—
459#894—32no—
460#893—32no—
461#893—32no—
462#893—32no—
463#892—31no—
464#892—31no—
465#892—31no—
466#892C2×D311yescharacteristic, complemented
467D3×C4⋊C4—31no—
468D3×C4⋊C4—31no—
469D3×C4⋊C4—31no—
470D3×C4⋊C4—61no—
471D3×C4⋊C4C2×D311yescharacteristic, complemented
472#887—32no—
473#885—32no—
474#885—32no—
475#885—32no—
476#885—32no—
477#884—32no—
478#884—32no—
479#884—32no—
480#884—32no—
481#884—32no—
482#884—32no—
483#884—32no—
484#884—32no—
485#884—32no—
486#884—62no—
487#884C2×D312yescomplemented
488#883—32no—
489#883C2×D312yescomplemented
490#882—32no—
491#882—32no—
492#882—32no—
493#882—32no—
494#882—32no—
495#882—32no—
496#882—32no—
497#882—32no—
498#67⋊C4—32no—
499#67⋊C4—32no—
500#67⋊C4—32no—
501#67⋊C4—32no—
502#67⋊C4—32no—
503#67⋊C4C2×D312yescomplemented
504D3×C22⋊C4—32no—
505D3×C22⋊C4—32no—
506D3×C22⋊C4—32no—
507D3×C22⋊C4—62no—
508D3×C22⋊C4C2×D312yescomplemented
509#878—32no—
510#878—32no—
511#875—32no—
512#874—32no—
513C4×D12—32no—
514C4×Dic6—32no—
515C23×C32C2412yes—
516C23×C32C2411yescharacteristic
517C22×C3⋊D3—22no—
518C22×C3⋊D3—22no—
519C22×C3⋊D3—24no—
520C22×C3⋊D3—41no—
521C22×C3⋊D3—42no—
522C22×C3⋊D3—42no—
523C22×C3⋊D3C2412yes—
524C22×C3⋊D3C2411yescharacteristic
525C22×C3⋊D3C2411yescharacteristic
526C22×C3×D3—22no—
527C22×C3×D3—22no—
528C22×C3×D3—22no—
529C22×C3×D3—22no—
530C22×C3×D3—24no—
531C22×C3×D3—41no—
532C22×C3×D3—41no—
533C22×C3×D3—42no—
534C22×C3×D3—42no—
535C22×C3×D3C2412yes—
536C22×C3×D3C2411yescharacteristic
537C22×C3×D3C2411yescharacteristic
538C22×C3×D3C2411yescharacteristic
539C22×C3×D3C2411yescharacteristic
540C2×D32—24no—
541C2×D32—42no—
542C2×D32—42no—
543C32×D4—24no—
544C32×D4—22no—
545C2×C32×C4—22no—
546C2×C32×C4C2412yes—
547C2×C32×C4C2411yescharacteristic
548C2×C32×C4C2411yescharacteristic
549#638—24no—
550#638—24no—
551#638—42no—
552C2×C3⋊Dic3—22no—
553C2×C3⋊Dic3C2412yes—
554C2×C3⋊Dic3C2411yescharacteristic
555C2×C3⋊Dic3C2411yescharacteristic
556C4⋊(C3⋊D3)—22no—
557C4⋊(C3⋊D3)—42no—
558C4×C3⋊D3—22no—
559C4×C3⋊D3—22no—
560C4×C3⋊D3—22no—
561C4×C3⋊D3—42no—
562C4×C3⋊D3C2×D414yescomplemented
563C3×#67—24no—
564C3×#67—24no—
565C3×#67—24no—
566C3×#67—42no—
567C3×#67—42no—
568C2×C3×Dic3—24no—
569C2×C3×Dic3—22no—
570C2×C3×Dic3—22no—
571C2×C3×Dic3C2412yes—
572C2×C3×Dic3C2412yes—
573C2×C3×Dic3C2411yescharacteristic
574C2×C3×Dic3C2412yes—
575C2×C3×Dic3C2411yescharacteristic
576C2×C3×Dic3C2411yescharacteristic
577C2×C3×Dic3C2411yescharacteristic
578C3×D12—22no—
579C3×D12—42no—
580C3×C4×D3—22no—
581C3×C4×D3—22no—
582C3×C4×D3—22no—
583C3×C4×D3—22no—
584C3×C4×D3—22no—
585C3×C4×D3—22no—
586C3×C4×D3—42no—
587C3×C4×D3C2×D414yescomplemented
588C3×C4×D3C2×D414yescomplemented
589C3×Dic6—22no—
590#627—22no—
591#627—22no—
592#627—22no—
593#627C2×D414yescomplemented
594#626—24no—
595#626—22no—
596#626—22no—
597#626—22no—
598#626—22no—
599#626—24no—
600#626—22no—
601#626—22no—
602#626—24no—
603#626—42no—
604#626—42no—
605#626—42no—
606#626C2×D414yescomplemented
607#626C2×D414yescomplemented
608#625—22no—
609#625—22no—
610#625—22no—
611#625—42no—
612#625C2×D414yescomplemented
613#624—24no—
614D3×Dic3—24no—
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—91no—
630#535—91no—
631#535—91no—
632#525—31no—
633#525—91no—
634#525—91no—
635C2×#121—31no—
636C2×#121—91no—
637C2×#121—91no—
638#520—91no—
639C24×C3—31no—
640C24×C3—31no—
641C24×C3—32no—
642C23×D3—31no—
643C23×D3—31no—
644C23×D3—32no—
645C23×D3—32no—
646C23×D3—32no—
647C23×D3—32no—
648C23×D3—61no—
649C23×D3—62no—
650C23×D3C22×D311yescharacteristic
651C23×D3C22×D311yescharacteristic
652C23×D3C22×D312yes—
653C3×#41—64no—
654C2×C3×Q8—31no—
655C2×C3×D4—21no—
656C2×C3×D4—22no—
657C2×C3×D4—32no—
658C2×C3×D4—32no—
659C2×C3×D4—32no—
660C2×C3×D4—32no—
661C2×C3×D4—32no—
662C2×C3×D4—31no—
663C2×C3×D4—32no—
664C2×C3×D4—64no—
665C2×C3×D4—124no—
666C2×C3×D4C22×D312yes—
667C2×C3×D4C22×D311yescharacteristic
668C2×C3×D4C22×D311yescharacteristic
669C2×C3×D4C22×D312yes—
670C22×C3×C4—21no—
671C22×C3×C4—31no—
672C22×C3×C4—31no—
673C22×C3×C4—32no—
674C22×C3×C4—31no—
675C22×C3×C4—31no—
676C22×C3×C4—31no—
677C22×C3×C4—31no—
678C22×C3×C4—31no—
679C22×C3×C4—31no—
680C22×C3×C4—31no—
681C22×C3×C4—31no—
682C22×C3×C4—32no—
683C22×C3×C4—64no—
684C22×C3×C4—64no—
685C22×C3×C4C22×D311yescharacteristic
686C22×C3×C4C22×D311yescharacteristic
687C2×#67—31no—
688C2×#67—31no—
689C2×#67—32no—
690C2×#67—32no—
691C2×#67—32no—
692C2×#67—32no—
693C2×#67—31no—
694C2×#67—31no—
695C2×#67—31no—
696C2×#67—31no—
697C2×#67—31no—
698C2×#67—31no—
699C2×#67—32no—
700C2×#67—32no—
701C2×#67—32no—
702C2×#67—32no—
703C2×#67—31no—
704C2×#67—31no—
705C2×#67—31no—
706C2×#67—32no—
707C2×#67—31no—
708C2×#67—31no—
709C2×#67—32no—
710C2×#67—32no—
711C2×#67—31no—
712C2×#67—31no—
713C2×#67—31no—
714C2×#67—32no—
715C2×#67—32no—
716C2×#67—32no—
717C2×#67—62no—
718C2×#67—62no—
719C2×#67—62no—
720C2×#67—64no—
721C2×#67—64no—
722C2×#67—68no—
723C2×#67—68no—
724C2×#67—64no—
725C2×#67—64no—
726C2×#67—124no—
727C2×#67C22×D312yes—
728C2×#67C22×D312yes—
729C2×#67C22×D312yes—
730C2×#67C22×D312yes—
731C2×#67C22×D312yes—
732C22×Dic3—31no—
733C22×Dic3—31no—
734C22×Dic3—32no—
735C22×Dic3—32no—
736C22×Dic3—61no—
737C22×Dic3C22×D312yes—
738C22×Dic3C22×D311yescharacteristic
739C22×Dic3C22×D311yescharacteristic
740#239—64no—
741#239—64no—
742#237—24no—
743#237—64no—
744#237—68no—
745D3×D4—24no—
746D3×D4—44no—
747D3×D4—64no—
748D3×D4—64no—
749D3×D4—68no—
750D3×D4—68no—
751D3×D4—68no—
752D3×D4—64no—
753D3×D4—124no—
754D3×D4—124no—
755D3×D4—124no—
756D3×D4—124no—
757D3×D4—128no—
758#235—38no—
759#235—38no—
760#235—64no—
761#235—64no—
762#235—64no—
763#235—68no—
764#235—64no—
765#235—64no—
766#235—64no—
767#235—64no—
768#235—64no—
769#235—64no—
770#235—64no—
771#235—64no—
772#235—64no—
773#235—64no—
774#235—64no—
775#235—64no—
776C2×D12—31no—
777C2×D12—31no—
778C2×D12—31no—
779C2×D12—32no—
780C2×D12—31no—
781C2×D12—31no—
782C2×D12—31no—
783C2×D12—31no—
784C2×D12—32no—
785C2×D12—32no—
786C2×D12—31no—
787C2×D12—31no—
788C2×D12—31no—
789C2×D12—32no—
790C2×D12—32no—
791C2×D12—32no—
792C2×D12—32no—
793C2×D12—32no—
794C2×D12—62no—
795C2×D12—61no—
796C2×D12—64no—
797C2×D12—64no—
798C2×D12—64no—
799C2×D12—68no—
800C2×D12C22×D311yescharacteristic
801C2×D12C22×D312yes—
802C2×C4×D3—24no—
803C2×C4×D3—24no—
804C2×C4×D3—31no—
805C2×C4×D3—31no—
806C2×C4×D3—32no—
807C2×C4×D3—31no—
808C2×C4×D3—31no—
809C2×C4×D3—31no—
810C2×C4×D3—31no—
811C2×C4×D3—31no—
812C2×C4×D3—31no—
813C2×C4×D3—32no—
814C2×C4×D3—32no—
815C2×C4×D3—32no—
816C2×C4×D3—32no—
817C2×C4×D3—32no—
818C2×C4×D3—61no—
819C2×C4×D3—61no—
820C2×C4×D3—62no—
821C2×C4×D3—61no—
822C2×C4×D3—61no—
823C2×C4×D3—64no—
824C2×C4×D3—64no—
825C2×C4×D3—124no—
826C2×C4×D3C22×D311yescharacteristic
827C2×C4×D3C22×D311yescharacteristic
828C2×C4×D3C22×D311yescharacteristic
829C2×C4×D3C22×D311yescharacteristic
830C2×C4×D3C22×D311yescharacteristic
831C2×C4×D3C22×D311yescharacteristic
832C2×C4×D3C22×D312yes—
833C2×C4×D3C22×D311yescharacteristic
834C2×C4×D3C22×D311yescharacteristic
835C2×Dic6—31no—
836C2×Dic6—31no—
837C2×Dic6—31no—
838C2×Dic6—31no—
839C2×Dic6—31no—
840C2×Dic6—31no—
841C2×Dic6—31no—
842C2×Dic6—31no—
843C2×Dic6—64no—
844C2×Dic6—64no—
845C2×Dic6C22×D311yescharacteristic
846C3×C4⋊C4—21no—
847C3×C4⋊C4—32no—
848C3×C4⋊C4—31no—
849C3×C4⋊C4—31no—
850C3×C4⋊C4—32no—
851C3×C4⋊C4—32no—
852C3×C4⋊C4C22×D311yescharacteristic
853C3×C4⋊C4C22×D311yescharacteristic
854C3×C22⋊C4—22no—
855C3×C22⋊C4—32no—
856C3×C22⋊C4—32no—
857C3×C22⋊C4—32no—
858C3×C22⋊C4—32no—
859C3×C22⋊C4—32no—
860C3×C22⋊C4—32no—
861C3×C22⋊C4—32no—
862C3×C22⋊C4C22×D312yes—
863C3×C22⋊C4C22×D312yes—
864C3×C42—32no—
865#217—32no—
866#217—32no—
867#217—32no—
868#217—32no—
869#217—32no—
870#217—32no—
871#217—62no—
872#217C22×D312yes—
873#217C22×D312yes—
874#217C22×D312yes—
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—32no—
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—
896(C2×D3)⋊C4C22×D312yes—
897C4⋊Dic3—31no—
898C4⋊Dic3—31no—
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—62no—
912Dic3⋊C4C22×D312yes—
913Dic3⋊C4C22×D312yes—
914C4×Dic3—32no—
915C4×Dic3—32no—
916C4×Dic3—32no—
917C4×Dic3—32no—
918C4×Dic3C22×D312yes—
919C22×C32—21no—
920C22×C32—21no—
921C22×C32—22no—
922C22×C32—22no—
923C22×C32—22no—
924C22×C32H(5,𝔽2)12yescomplemented
925C22×C32C2511yescharacteristic
926C2×C3⋊D3—21no—
927C2×C3⋊D3—21no—
928C2×C3⋊D3—21no—
929C2×C3⋊D3—22no—
930C2×C3⋊D3—21no—
931C2×C3⋊D3—22no—
932C2×C3⋊D3—21no—
933C2×C3⋊D3—22no—
934C2×C3⋊D3—44no—
935C2×C3⋊D3—84no—
936C2×C3⋊D3C22×D412yes—
937C2×C3×D3—21no—
938C2×C3×D3—21no—
939C2×C3×D3—21no—
940C2×C3×D3—21no—
941C2×C3×D3—22no—
942C2×C3×D3—21no—
943C2×C3×D3—21no—
944C2×C3×D3—21no—
945C2×C3×D3—22no—
946C2×C3×D3—21no—
947C2×C3×D3—21no—
948C2×C3×D3—22no—
949C2×C3×D3—21no—
950C2×C3×D3—44no—
951C2×C3×D3—44no—
952C2×C3×D3—84no—
953C2×C3×D3C22×D412yes—
954C2×C3×D3C22×D412yes—
955D32—84no—
956C32×C4—21no—
957C32×C4—22no—
958C32×C4C22×D412yes—
959C3⋊Dic3—21no—
960C3⋊Dic3—22no—
961C3⋊Dic3C22×D412yes—
962C3×Dic3—22no—
963C3×Dic3—21no—
964C3×Dic3—21no—
965C3×Dic3—22no—
966C3×Dic3—22no—
967C3×Dic3C22×D412yes—
968C3×Dic3C22×D412yes—
969H(5,𝔽2)—188no—
970C2×#41—31no—
971C2×#41—91no—
972C2×#41—91no—
973C2×#41—91no—
974C2×#41—91no—
975C2×#41—91no—
976C2×#41—91no—
977C2×#41—91no—
978C2×#41—91no—
979C2×#41—92no—
980C2×#41—91no—
981C2×#41—91no—
982C2×#41—188no—
983C22×Q8—91no—
984C22×D4—31no—
985C22×D4—32no—
986C22×D4—91no—
987C22×D4—91no—
988C22×D4—91no—
989C22×D4—92no—
990C22×D4—92no—
991C22×D4—92no—
992C22×D4—92no—
993C22×D4—91no—
994C22×D4—91no—
995C22×D4—92no—
996C23×C4—31no—
997C23×C4—31no—
998C23×C4—91no—
999#127—92no—
1000#127—92no—
1001#127—92no—
1002#124—92no—
1003#124—92no—
1004#124—92no—
1005#123—32no—
1006#123—92no—
1007#123—92no—
1008C22⋊Q8—31no—
1009C22⋊Q8—31no—
1010C22⋊Q8—92no—
1011C22⋊Q8—92no—
1012C22⋊Q8—92no—
1013C22⋊Q8—91no—
1014C22⋊Q8—91no—
1015#121—31no—
1016#121—32no—
1017#121—31no—
1018#121—31no—
1019#121—31no—
1020#121—32no—
1021#121—92no—
1022#121—92no—
1023#121—92no—
1024#121—92no—
1025#121—92no—
1026#121—92no—
1027#121—91no—
1028#121—91no—
1029#121—92no—
1030#121—91no—
1031#121—92no—
1032#121—91no—
1033#121—92no—
1034#121—92no—
1035#121—92no—
1036#121—91no—
1037#121—92no—
1038#121—91no—
1039#121—91no—
1040#121—92no—
1041#121D3211yescharacteristic, complemented
1042#120—32no—
1043#120—92no—
1044#120—92no—
1045#120—92no—
1046#120—92no—
1047#120—92no—
1048#120—92no—
1049#120—92no—
1050#120—92no—
1051C4×Q8—92no—
1052C4×D4—32no—
1053C4×D4—32no—
1054C4×D4—92no—
1055C4×D4—92no—
1056C4×D4—92no—
1057C4×D4—92no—
1058C4×D4—92no—
1059C4×D4—92no—
1060C4×D4—92no—
1061#117—31no—
1062#117—91no—
1063#117—91no—
1064C2×C4⋊C4—31no—
1065C2×C4⋊C4—91no—
1066C2×C4⋊C4—91no—
1067C2×C22⋊C4—32no—
1068C2×C22⋊C4—92no—
1069C2×C22⋊C4—92no—
1070C23×C3—21no—
1071C23×C3—22no—
1072C23×C3—31no—
1073C23×C3—31no—
1074C23×C3—32no—
1075C23×C3—31no—
1076C23×C3—31no—
1077C23×C3—62no—
1078C23×C3—62no—
1079C23×C3—64no—
1080C23×C3—62no—
1081C23×C3—62no—
1082C23×C3—121no—
1083C23×C3—121no—
1084C23×C3—122no—
1085C23×C3—122no—
1086C23×C3C23×D312yes—
1087C23×C3C23×D312yes—
1088C23×C3C23×D311yescharacteristic
1089C23×C3C23×D311yescharacteristic
1090C22×D3—22no—
1091C22×D3—22no—
1092C22×D3—22no—
1093C22×D3—22no—
1094C22×D3—24no—
1095C22×D3—31no—
1096C22×D3—31no—
1097C22×D3—32no—
1098C22×D3—32no—
1099C22×D3—31no—
1100C22×D3—31no—
1101C22×D3—41no—
1102C22×D3—41no—
1103C22×D3—42no—
1104C22×D3—42no—
1105C22×D3—61no—
1106C22×D3—61no—
1107C22×D3—62no—
1108C22×D3—64no—
1109C22×D3—62no—
1110C22×D3—62no—
1111C22×D3—64no—
1112C22×D3—64no—
1113C22×D3—64no—
1114C22×D3—62no—
1115C22×D3—62no—
1116C22×D3—64no—
1117C22×D3—122no—
1118C22×D3—124no—
1119C22×D3—122no—
1120C22×D3—122no—
1121C22×D3—122no—
1122C22×D3—122no—
1123C22×D3—121no—
1124C22×D3—121no—
1125C22×D3—122no—
1126C22×D3—122no—
1127C22×D3—122no—
1128C22×D3—122no—
1129C22×D3—122no—
1130C22×D3—124no—
1131C22×D3—124no—
1132C22×D3C23×D312yes—
1133C22×D3C23×D311yescharacteristic
1134C22×D3C23×D311yescharacteristic
1135C22×D3C23×D311yescharacteristic
1136C22×D3C23×D311yescharacteristic
1137C3×Q8—62no—
1138C3×D4—24no—
1139C3×D4—24no—
1140C3×D4—22no—
1141C3×D4—22no—
1142C3×D4—42no—
1143C3×D4—44no—
1144C3×D4—64no—
1145C3×D4—64no—
1146C3×D4—64no—
1147C3×D4—62no—
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—62no—
1169C2×C3×C4—62no—
1170C2×C3×C4—62no—
1171C2×C3×C4—62no—
1172C2×C3×C4—64no—
1173C2×C3×C4—62no—
1174C2×C3×C4—62no—
1175C2×C3×C4—122no—
1176C2×C3×C4C23×D312yes—
1177C2×C3×C4C23×D312yes—
1178C2×C3×C4C23×D311yescharacteristic
1179C2×C3×C4C23×D311yescharacteristic
1180C2×C3×C4C23×D311yescharacteristic
1181C2×C3×C4C23×D311yescharacteristic
1182#67—24no—
1183#67—24no—
1184#67—24no—
1185#67—34no—
1186#67—34no—
1187#67—34no—
1188#67—34no—
1189#67—42no—
1190#67—42no—
1191#67—62no—
1192#67—62no—
1193#67—64no—
1194#67—62no—
1195#67—62no—
1196#67—64no—
1197#67—62no—
1198#67—62no—
1199#67—64no—
1200#67—64no—
1201#67—62no—
1202#67—62no—
1203#67—64no—
1204#67—64no—
1205#67—62no—
1206#67—62no—
1207#67—62no—
1208#67—62no—
1209#67—64no—
1210#67—124no—
1211#67—124no—
1212#67—122no—
1213#67—122no—
1214#67—122no—
1215#67—122no—
1216#67—122no—
1217#67—122no—
1218#67—122no—
1219#67—124no—
1220C2×Dic3—22no—
1221C2×Dic3—22no—
1222C2×Dic3—24no—
1223C2×Dic3—31no—
1224C2×Dic3—31no—
1225C2×Dic3—32no—
1226C2×Dic3—32no—
1227C2×Dic3—31no—
1228C2×Dic3—31no—
1229C2×Dic3—61no—
1230C2×Dic3—62no—
1231C2×Dic3—61no—
1232C2×Dic3—64no—
1233C2×Dic3—62no—
1234C2×Dic3—62no—
1235C2×Dic3—122no—
1236C2×Dic3—122no—
1237C2×Dic3C23×D312yes—
1238C2×Dic3C23×D312yes—
1239C2×Dic3C23×D311yescharacteristic
1240C2×Dic3C23×D312yes—
1241C2×Dic3C23×D311yescharacteristic
1242C2×Dic3C23×D311yescharacteristic
1243C2×Dic3C23×D311yescharacteristic
1244D12—22no—
1245D12—34no—
1246D12—34no—
1247D12—42no—
1248D12—64no—
1249D12—62no—
1250D12—62no—
1251D12—62no—
1252D12—62no—
1253D12—64no—
1254D12—62no—
1255D12—62no—
1256D12—64no—
1257D12—62no—
1258D12—62no—
1259D12—122no—
1260D12—122no—
1261D12—122no—
1262D12—124no—
1263D12—122no—
1264D12—122no—
1265D12—122no—
1266C4×D3—22no—
1267C4×D3—22no—
1268C4×D3—22no—
1269C4×D3—22no—
1270C4×D3—22no—
1271C4×D3—22no—
1272C4×D3—34no—
1273C4×D3—34no—
1274C4×D3—42no—
1275C4×D3—64no—
1276C4×D3—64no—
1277C4×D3—62no—
1278C4×D3—62no—
1279C4×D3—64no—
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×D3—122no—
1289C4×D3—122no—
1290C4×D3—122no—
1291C4×D3—124no—
1292C4×D3D3×D414yescomplemented
1293C4×D3D3×D414yescomplemented
1294Dic6—22no—
1295Dic6—34no—
1296Dic6—34no—
1297Dic6—62no—
1298Dic6—62no—
1299Dic6—62no—
1300Dic6—62no—
1301Dic6—62no—
1302Dic6—62no—
1303C2×C32—22no—
1304C2×C32—42no—
1305C2×C32C23×D411yescharacteristic
1306C2×C32C2×H(5,𝔽2)11yescharacteristic
1307C2×C32#58511yescharacteristic
1308C3⋊D3—22no—
1309C3⋊D3—41no—
1310C3⋊D3—42no—
1311C3×D3—22no—
1312C3×D3—22no—
1313C3×D3—42no—
1314C3×D3—41no—
1315C3×D3—41no—
1316C24—31no—
1317C24—31no—
1318C24—32no—
1319C24—92no—
1320C24—91no—
1321C24—92no—
1322#41—64no—
1323#41—98no—
1324#41—184no—
1325#41—184no—
1326#41—184no—
1327#41—184no—
1328#41—184no—
1329#41—184no—
1330#41—184no—
1331#41—184no—
1332#41—188no—
1333#41—184no—
1334C2×Q8—31no—
1335C2×Q8—91no—
1336C2×Q8—91no—
1337C2×Q8—91no—
1338C2×Q8—91no—
1339C2×Q8—184no—
1340C2×D4—32no—
1341C2×D4—32no—
1342C2×D4—32no—
1343C2×D4—32no—
1344C2×D4—32no—
1345C2×D4—31no—
1346C2×D4—32no—
1347C2×D4—64no—
1348C2×D4—91no—
1349C2×D4—91no—
1350C2×D4—91no—
1351C2×D4—91no—
1352C2×D4—91no—
1353C2×D4—91no—
1354C2×D4—92no—
1355C2×D4—92no—
1356C2×D4—92no—
1357C2×D4—91no—
1358C2×D4—91no—
1359C2×D4—92no—
1360C2×D4—92no—
1361C2×D4—92no—
1362C2×D4—91no—
1363C2×D4—91no—
1364C2×D4—91no—
1365C2×D4—91no—
1366C2×D4—92no—
1367C2×D4—92no—
1368C2×D4—92no—
1369C2×D4—92no—
1370C2×D4—91no—
1371C2×D4—92no—
1372C2×D4—124no—
1373C2×D4—184no—
1374C2×D4—184no—
1375C2×D4—184no—
1376C2×D4—188no—
1377C2×D4—184no—
1378C2×D4—188no—
1379C2×D4—188no—
1380C2×D4—184no—
1381C2×D4—364no—
1382C2×D4—364no—
1383C2×D4C2×D3212yes—
1384C2×D4C2×D3211yescharacteristic
1385C22×C4—31no—
1386C22×C4—31no—
1387C22×C4—31no—
1388C22×C4—32no—
1389C22×C4—31no—
1390C22×C4—31no—
1391C22×C4—31no—
1392C22×C4—31no—
1393C22×C4—31no—
1394C22×C4—31no—
1395C22×C4—31no—
1396C22×C4—32no—
1397C22×C4—64no—
1398C22×C4—64no—
1399C22×C4—92no—
1400C22×C4—92no—
1401C22×C4—92no—
1402C22×C4—91no—
1403C22×C4—91no—
1404C22×C4—91no—
1405C22×C4—91no—
1406C22×C4—91no—
1407C22×C4—92no—
1408C22×C4—184no—
1409C22×C4C2×D3211yescharacteristic
1410C4⋊C4—31no—
1411C4⋊C4—32no—
1412C4⋊C4—31no—
1413C4⋊C4—32no—
1414C4⋊C4—32no—
1415C4⋊C4—92no—
1416C4⋊C4—92no—
1417C4⋊C4—92no—
1418C4⋊C4—91no—
1419C4⋊C4—92no—
1420C4⋊C4C2×D3211yescharacteristic
1421C22⋊C4—32no—
1422C22⋊C4—32no—
1423C22⋊C4—32no—
1424C22⋊C4—32no—
1425C22⋊C4—32no—
1426C22⋊C4—32no—
1427C22⋊C4—32no—
1428C22⋊C4—92no—
1429C22⋊C4—92no—
1430C22⋊C4—92no—
1431C22⋊C4—92no—
1432C22⋊C4—92no—
1433C22⋊C4—92no—
1434C22⋊C4—92no—
1435C22⋊C4—92no—
1436C22⋊C4—92no—
1437C22⋊C4—92no—
1438C22⋊C4—92no—
1439C22⋊C4C2×D3212yes—
1440C42—32no—
1441C42—92no—
1442C42—92no—
1443C22×C3—21no—
1444C22×C3—21no—
1445C22×C3—21no—
1446C22×C3—21no—
1447C22×C3—22no—
1448C22×C3—22no—
1449C22×C3—22no—
1450C22×C3—22no—
1451C22×C3—22no—
1452C22×C3—22no—
1453C22×C3—22no—
1454C22×C3—21no—
1455C22×C3—32no—
1456C22×C3—32no—
1457C22×C3—41no—
1458C22×C3—41no—
1459C22×C3—42no—
1460C22×C3—42no—
1461C22×C3—42no—
1462C22×C3—61no—
1463C22×C3—61no—
1464C22×C3—61no—
1465C22×C3—61no—
1466C22×C3—62no—
1467C22×C3—61no—
1468C22×C3—61no—
1469C22×C3—61no—
1470C22×C3—62no—
1471C22×C3—61no—
1472C22×C3—61no—
1473C22×C3—62no—
1474C22×C3—61no—
1475C22×C3—124no—
1476C22×C3—124no—
1477C22×C3—244no—
1478C22×C3#100412yescomplemented
1479C22×C3#100912yescomplemented
1480C22×C3C24×D311yescharacteristic
1481C22×C3C24×D311yescharacteristic
1482C2×D3—21no—
1483C2×D3—21no—
1484C2×D3—21no—
1485C2×D3—21no—
1486C2×D3—21no—
1487C2×D3—21no—
1488C2×D3—22no—
1489C2×D3—21no—
1490C2×D3—22no—
1491C2×D3—21no—
1492C2×D3—21no—
1493C2×D3—22no—
1494C2×D3—21no—
1495C2×D3—32no—
1496C2×D3—32no—
1497C2×D3—44no—
1498C2×D3—44no—
1499C2×D3—62no—
1500C2×D3—62no—
1501C2×D3—62no—
1502C2×D3—61no—
1503C2×D3—61no—
1504C2×D3—61no—
1505C2×D3—61no—
1506C2×D3—62no—
1507C2×D3—61no—
1508C2×D3—61no—
1509C2×D3—62no—
1510C2×D3—62no—
1511C2×D3—61no—
1512C2×D3—62no—
1513C2×D3—62no—
1514C2×D3—61no—
1515C2×D3—61no—
1516C2×D3—62no—
1517C2×D3—61no—
1518C2×D3—62no—
1519C2×D3—84no—
1520C2×D3—121no—
1521C2×D3—121no—
1522C2×D3—122no—
1523C2×D3—122no—
1524C2×D3—122no—
1525C2×D3—124no—
1526C2×D3—124no—
1527C2×D3—128no—
1528C2×D3—244no—
1529C2×D3—244no—
1530C2×D3—244no—
1531C2×D3—244no—
1532C2×D3—248no—
1533C2×D3C2×D3×D412yes—
1534C2×D3C2×D3×D412yes—
1535C3×C4—21no—
1536C3×C4—21no—
1537C3×C4—22no—
1538C3×C4—22no—
1539C3×C4—22no—
1540C3×C4—32no—
1541C3×C4—32no—
1542C3×C4—41no—
1543C3×C4—42no—
1544C3×C4—61no—
1545C3×C4—61no—
1546C3×C4—62no—
1547C3×C4—62no—
1548C3×C4—62no—
1549C3×C4C2×D3×D412yes—
1550C3×C4C2×D3×D412yes—
1551Dic3—22no—
1552Dic3—21no—
1553Dic3—21no—
1554Dic3—22no—
1555Dic3—22no—
1556Dic3—32no—
1557Dic3—32no—
1558Dic3—62no—
1559Dic3—61no—
1560Dic3—61no—
1561Dic3—62no—
1562Dic3—62no—
1563Dic3—121no—
1564Dic3—122no—
1565Dic3C2×D3×D412yes—
1566Dic3C2×D3×D412yes—
1567C32#348811yescharacteristic, complemented, Sylow
1568C23—31no—
1569C23—31no—
1570C23—32no—
1571C23—31no—
1572C23—31no—
1573C23—62no—
1574C23—62no—
1575C23—64no—
1576C23—62no—
1577C23—62no—
1578C23—91no—
1579C23—92no—
1580C23—91no—
1581C23—121no—
1582C23—121no—
1583C23—122no—
1584C23—122no—
1585C23—182no—
1586C23—184no—
1587C23—184no—
1588C23—182no—
1589C23—361no—
1590C23—362no—
1591C23—362no—
1592C23—362no—
1593C23—362no—
1594C23C22×D3212yes—
1595C23C22×D3211yescharacteristic
1596Q8—62no—
1597Q8—94no—
1598Q8—182no—
1599Q8—182no—
1600Q8—182no—
1601D4—24no—
1602D4—22no—
1603D4—64no—
1604D4—64no—
1605D4—64no—
1606D4—62no—
1607D4—94no—
1608D4—94no—
1609D4—94no—
1610D4—122no—
1611D4—122no—
1612D4—122no—
1613D4—184no—
1614D4—182no—
1615D4—182no—
1616D4—184no—
1617D4—182no—
1618D4—182no—
1619D4—184no—
1620D4—182no—
1621D4—182no—
1622D4—184no—
1623D4—182no—
1624D4—182no—
1625D4—182no—
1626D4—184no—
1627D4—182no—
1628D4—362no—
1629D4—362no—
1630D4—362no—
1631D4—362no—
1632D4—362no—
1633D4—362no—
1634C2×C4—22no—
1635C2×C4—31no—
1636C2×C4—31no—
1637C2×C4—34no—
1638C2×C4—34no—
1639C2×C4—32no—
1640C2×C4—32no—
1641C2×C4—31no—
1642C2×C4—31no—
1643C2×C4—32no—
1644C2×C4—62no—
1645C2×C4—62no—
1646C2×C4—62no—
1647C2×C4—62no—
1648C2×C4—62no—
1649C2×C4—62no—
1650C2×C4—64no—
1651C2×C4—62no—
1652C2×C4—62no—
1653C2×C4—91no—
1654C2×C4—94no—
1655C2×C4—92no—
1656C2×C4—91no—
1657C2×C4—122no—
1658C2×C4—182no—
1659C2×C4—182no—
1660C2×C4—184no—
1661C2×C4—184no—
1662C2×C4—182no—
1663C2×C4—182no—
1664C2×C4—362no—
1665C2×C4—362no—
1666C2×C4C22×D3212yes—
1667C2×C4C22×D3211yescharacteristic
1668C2×C4C22×D3211yescharacteristic
1669C2×C3—22no—
1670C2×C3—22no—
1671C2×C3—21no—
1672C2×C3—21no—
1673C2×C3—21no—
1674C2×C3—42no—
1675C2×C3—42no—
1676C2×C3—42no—
1677C2×C3—62no—
1678C2×C3—62no—
1679C2×C3—82no—
1680C2×C3—122no—
1681C2×C3—121no—
1682C2×C3—121no—
1683C2×C3C22×D3×D411yescharacteristic
1684C2×C3C22×D3×D411yescharacteristic
1685C2×C3C2×#100411yescharacteristic
1686C2×C3C2×#100911yescharacteristic
1687C2×C3#596411yescharacteristic
1688C2×C3#596411yescharacteristic
1689D3—22no—
1690D3—22no—
1691D3—41no—
1692D3—41no—
1693D3—42no—
1694D3—64no—
1695D3—62no—
1696D3—62no—
1697D3—122no—
1698D3—121no—
1699D3—122no—
1700D3—121no—
1701D3—122no—
1702D3—242no—
1703C22—21no—
1704C22—21no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—32no—
1709C22—32no—
1710C22—61no—
1711C22—61no—
1712C22—61no—
1713C22—61no—
1714C22—61no—
1715C22—61no—
1716C22—62no—
1717C22—62no—
1718C22—61no—
1719C22—61no—
1720C22—61no—
1721C22—61no—
1722C22—62no—
1723C22—92no—
1724C22—124no—
1725C22—124no—
1726C22—181no—
1727C22—181no—
1728C22—181no—
1729C22—182no—
1730C22—182no—
1731C22—181no—
1732C22—181no—
1733C22—182no—
1734C22—244no—
1735C22—364no—
1736C22—724no—
1737C22—724no—
1738C22#6431412yescomplemented
1739C22C23×D3211yescharacteristic
1740C4—21no—
1741C4—22no—
1742C4—32no—
1743C4—32no—
1744C4—61no—
1745C4—61no—
1746C4—62no—
1747C4—62no—
1748C4—62no—
1749C4—92no—
1750C4—181no—
1751C4—182no—
1752C4D32×D412yes—
1753C3—21no—
1754C3#8594911yescharacteristic, complemented
1755C3#8604111yescharacteristic, complemented
1756C2—22no—
1757C2—42no—
1758C2—62no—
1759C2—62no—
1760C2—121no—
1761C2—121no—
1762C2—122no—
1763C2—182no—
1764C2—361no—
1765C2—362no—
1766C2C2×D32×D411yescharacteristic
1767C2C2×#6431411yescharacteristic
1768C2#1059669511yescharacteristic
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. C22×#3798C2semidirect
3. C3⋊D3×#121C2semidirect
4. C3×#5606C2semidirect
5. C3×D3×#121C2semidirect
6. #10595292C2semidirect
7. #10595287C2semidirect
8. #10595241C2semidirect
9. #10595232C2semidirect
10. #10595231C2semidirect
11. D4×#626C2semidirect
12. #10595141C2semidirect
13. D3×#930C2semidirect
14. #10595005C2semidirect
15. #10594922C2semidirect
16. #10594628C2semidirect
17. #10594528C2semidirect
18. #10594523C2semidirect
19. #10594510C2semidirect
20. #10594279C2semidirect
21. #10594272C2semidirect
22. #10594246C2semidirect
23. #10594186C2semidirect
26. C2×D4×C3⋊D3C22semidirect
27. C2×D4×C3⋊D3C22semidirect
28. C22×C4×C3⋊D3C22semidirect
29. C2×C3×#237C22semidirect
30. C2×C3×D3×D4C22semidirect
31. C2×C3×D3×D4C22semidirect
32. C22×C3×C4×D3C22semidirect
33. C22×C3×C4×D3C22semidirect
34. C2×#3811C22semidirect
35. C2×D3×#67C22semidirect
36. C2×D3×#67C22semidirect
37. C22×#627C22semidirect
38. C22×#626C22semidirect
39. C22×#626C22semidirect
40. C22×#626C22semidirect
41. C22×#625C22semidirect
42. C2×#3804C22semidirect
44. C2×D3×D12C22semidirect
45. C2×#3799C22semidirect
48. C2×#3798C22semidirect
49. C2×#3798C22semidirect
50. C2×#3798C22semidirect
51. C2×#3798C22semidirect
52. C2×#3798C22semidirect
53. C2×#3798C22semidirect
54. C2×#3798C22semidirect
55. C2×#3796C22semidirect
56. C32×#121C22semidirect
57. #64148C22semidirect
58. #64147C22semidirect
59. #64139C22semidirect
60. #64104C22semidirect
61. C4⋊C4×C3⋊D3C22semidirect
62. #64093C22semidirect
63. C22⋊C4×C3⋊D3C22semidirect
64. C3×#939C22semidirect
65. C3×#938C22semidirect
66. C3×#938C22semidirect
67. C3×#937C22semidirect
68. C3×D4×Dic3C22semidirect
69. C3×#930C22semidirect
70. C3×#924C22semidirect
71. C3×#897C22semidirect
72. C3×#895C22semidirect
73. C3×#892C22semidirect
74. C3×D3×C4⋊C4C22semidirect
75. C3×#884C22semidirect
76. C3×#883C22semidirect
77. C3×#67⋊C4C22semidirect
78. C3×D3×C22⋊C4C22semidirect
79. #63981C22semidirect
80. #63981C22semidirect
81. #63981C22semidirect
82. #63979C22semidirect
83. #63979C22semidirect
84. #63978C22semidirect
85. #63978C22semidirect
86. #63977C22semidirect
87. #63977C22semidirect
88. #63976C22semidirect
89. #67⋊Dic3C22semidirect
90. #63971C22semidirect
91. #63970C22semidirect
92. #63964C22semidirect
93. #63959C22semidirect
94. #63953C22semidirect
95. #63952C22semidirect
96. #63923C22semidirect
97. #63922C22semidirect
98. D3×(C2×D3)⋊C4C22semidirect
99. #63916C22semidirect
100. #63916C22semidirect
101. #63912C22semidirect
102. #63911C22semidirect
103. #63910C22semidirect
104. #63909C22semidirect
105. #63909C22semidirect
106. #63909C22semidirect
107. #63908C22semidirect
108. #63906C22semidirect
109. #63906C22semidirect
110. #63904C22semidirect
111. C4×#626C22semidirect
112. #63899C22semidirect
113. #63895C22semidirect
114. D3×C4⋊Dic3C22semidirect
115. #63885C22semidirect
116. #63881C22semidirect
117. #63881C22semidirect
118. #63879C22semidirect
119. #63871C22semidirect
120. #63856C22semidirect
121. #63853C22semidirect
122. #63852C22semidirect
123. #63850C22semidirect
124. #63849C22semidirect
125. #63841C22semidirect
126. #63837C22semidirect
154. #5606D3semidirect
159. D3×#121D3semidirect
266. #3798D4semidirect
320. C2×#237C2×D3semidirect
332. C2×D3×D4C2×D3semidirect
333. C2×D3×D4C2×D3semidirect
361. C22×C4×D3C2×D3semidirect
362. C22×C4×D3C2×D3semidirect
375. C3×#121C2×D3semidirect
376. C3×#121C2×D3semidirect
401. #939C2×D3semidirect
409. #938C2×D3semidirect
410. #938C2×D3semidirect
416. #937C2×D3semidirect
419. D4×Dic3C2×D3semidirect
431. #930C2×D3semidirect
442. #924C2×D3semidirect
445. #897C2×D3semidirect
457. #895C2×D3semidirect
466. #892C2×D3semidirect
471. D3×C4⋊C4C2×D3semidirect
487. #884C2×D3semidirect
489. #883C2×D3semidirect
503. #67⋊C4C2×D3semidirect
508. D3×C22⋊C4C2×D3semidirect
562. C4×C3⋊D3C2×D4semidirect
587. C3×C4×D3C2×D4semidirect
588. C3×C4×D3C2×D4semidirect
593. #627C2×D4semidirect
606. #626C2×D4semidirect
607. #626C2×D4semidirect
612. #625C2×D4semidirect
924. C22×C32H(5,𝔽2)semidirect
1041. #121D32semidirect
1292. C4×D3D3×D4semidirect
1293. C4×D3D3×D4semidirect
1478. C22×C3#1004semidirect
1479. C22×C3#1009semidirect
1567. C32#3488semidirect
1738. C22#64314semidirect
1754. C3#85949semidirect
1755. C3#86041semidirect

Maximal subgroups

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

subgroupindex
C2×#643142
C22×#37982
C3⋊D3×#1212
C3×#56062
C3×D3×#1212
#105952922
#105952872
#105952412
#105952322
#105952312
D4×#6262
#105951412
D3×#9302
#105950052
#105949222
#105946282
#105945282
#105945232
#105945102
#105942792
#105942722
#105942462
#105941862
#860413
#859493