Finite Group Databasebeta

← #11904674

Subgroups — #11904674

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
2C2×#64306C211yesmaximal, characteristic, complemented
3C3⋊D3×#121C211yesmaximal, characteristic, complemented
4C3×#5608C211yesmaximal, characteristic, complemented
5C3×#5607C211yesmaximal, characteristic, complemented
6#10595301C211yesmaximal, characteristic, complemented
7#10595297C212yesmaximal, complemented
8#10595292C212yesmaximal, complemented
9#10595290C212yesmaximal, complemented
10D3×#938C211yesmaximal, characteristic, complemented
11#10595241C211yesmaximal, characteristic, complemented
12#10595227C212yesmaximal, complemented
13#10595064C211yesmaximal, characteristic, complemented
14#10594922C211yesmaximal, characteristic, complemented
15#10594894C211yesmaximal, characteristic, complemented
16#10594627C211yesmaximal, characteristic, complemented
17D3×#895C211yesmaximal, characteristic, complemented
18#10594528C211yesmaximal, characteristic, complemented
19#10594510C211yesmaximal, characteristic, complemented
20#10594285C212yesmaximal, complemented
21#10594275C212yesmaximal, complemented
22#10594075C212yesmaximal, complemented
23#10594063C212yesmaximal, complemented
24#86379—31nomaximal
25#86331—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×#235C2211yescharacteristic, complemented
32C2×C3×#235C2211yescharacteristic, complemented
33C2×#3811C2211yescharacteristic, complemented
34C2×#3811C2211yescharacteristic, complemented
35C2×#3811C2212yescomplemented
36C2×D3×#67C2212yescomplemented
37C2×D3×#67C2212yescomplemented
38C22×#626C2212yescomplemented
39C2×#3805C2211yescharacteristic, complemented
40C2×#3805C2211yescharacteristic, complemented
41C2×#3804C2212yescomplemented
42#64314—28no—
43#64306—28no—
44C2×#3802C2211yescharacteristic, complemented
45C2×D3×D12C2211yescharacteristic, complemented
46C2×D3×D12C2212yescomplemented
47C2×C4×D32C2211yescharacteristic, complemented
48C2×C4×D32C2211yescharacteristic, complemented
49C2×#3799C2211yescharacteristic, complemented
50C2×#3798C2211yescharacteristic
51C2×#3798C2211yescharacteristic, complemented
52C2×#3797C2211yescharacteristic, complemented
53C2×#3796C2211yescharacteristic, complemented
54C2×#3796C2211yescharacteristic, 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×#940C2212yescomplemented
65C3×#939C2212yescomplemented
66C3×#938C2211yescharacteristic, complemented
67C3×#938C2211yescharacteristic, complemented
68C3×#938C2212yescomplemented
69C3×#937C2212yescomplemented
70C3×#930C2211yescharacteristic, complemented
71C3×#924C2211yescharacteristic, complemented
72C3×#897C2211yescharacteristic, complemented
73C3×#895C2211yescharacteristic, complemented
74C3×#892C2211yescharacteristic, complemented
75C3×D3×C4⋊C4C2211yescharacteristic, complemented
76C3×#885C2212yescomplemented
77C3×#884C2212yescomplemented
78C3×#882C2212yescomplemented
79C3×#878C2212yescomplemented
80#63983C2212yescomplemented
81#63983C2212yescomplemented
82#63981C2212yescomplemented
83#63981C2212yescomplemented
84#63981C2212yescomplemented
85#63979C2212yescomplemented
86#63979C2212yescomplemented
87#67⋊Dic3C2212yescomplemented
88Dic3×#67C2212yescomplemented
89#63971C2212yescomplemented
90#63970C2212yescomplemented
91#63969C2212yescomplemented
92D3×#217C2212yescomplemented
93#63958C2212yescomplemented
94#63958C2212yescomplemented
95#63953C2212yescomplemented
96#63952C2212yescomplemented
97#63923C2212yescomplemented
98#63922C2212yescomplemented
99D3×(C2×D3)⋊C4C2212yescomplemented
100#63916C2212yescomplemented
101#63916C2211yescharacteristic, complemented
102#63912C2212yescomplemented
103#63910C2212yescomplemented
104#63909C2211yescharacteristic, complemented
105#63909C2211yescharacteristic, complemented
106#63908C2211yescharacteristic, complemented
107#63907C2212yescomplemented
108C4×#626C2212yescomplemented
109#63899C2212yescomplemented
110#63894C2212yescomplemented
111#63890C2212yescomplemented
112D3×C4⋊Dic3C2211yescharacteristic, complemented
113#63888C2212yescomplemented
114#63886C2212yescomplemented
115#63886C2212yescomplemented
116#63885C2212yescomplemented
117#63881C2212yescomplemented
118#63881C2212yescomplemented
119#63880C2212yescomplemented
120#63879C2212yescomplemented
121#63871C2211yescharacteristic, complemented
122#63856C2211yescharacteristic, complemented
123#63853C2212yescomplemented
124#63849C2211yescharacteristic, complemented
125#63841C2211yescharacteristic, complemented
126#63837C2212yescomplemented
127C2×#1009—31no—
128C2×D3×#41—31no—
129C2×D3×#41—31no—
130C2×#1004—31no—
131C3×#537—31no—
132C3×#535—31no—
133#5833—31no—
134#5830—31no—
135#5828—31no—
136C2×#938—31no—
137#5718—32no—
138#5717—32no—
139#5677—32no—
140#5676—32no—
141#5633—32no—
142#5630—32no—
143#5629—31no—
144#5629—31no—
145#5627—31no—
146#5627—31no—
147#5610—32no—
148#5610—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#5607D311yescharacteristic, complemented
158#5606—31no—
159#5606—31no—
160D3×#121—31no—
161D3×#121—31no—
162D3×#121—31no—
163D3×#121—31no—
164D3×#121—61no—
165#5599—32no—
166#5591—32no—
167#5591—32no—
168#5590—32no—
169#5590—32no—
170#5524—31no—
171#5523—31no—
172C2×#895—31no—
173#5504—31no—
174C23×C3⋊D3C2311yescharacteristic
175C23×C3⋊D3C2312yes—
176C23×C3×D3C2312yes—
177C22×D32C2311yescharacteristic
178C22×D32C2311yescharacteristic
179C22×D32C2312yes—
180C2×C32×D4C2311yescharacteristic
181C2×C32×D4C2312yes—
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×#67C2311yescharacteristic
200C2×C3×#67C2311yescharacteristic
201C2×C3×#67C2311yescharacteristic
202C2×C3×#67C2311yescharacteristic
203C2×C3×#67C2312yes—
204C2×C3×#67C2312yes—
205C2×C3×#67C2312yes—
206C22×C3×Dic3C2312yes—
207C3×#237—24no—
208C3×D3×D4—24no—
209C3×#235—24no—
210C3×#235—24no—
211C2×C3×D12C2311yescharacteristic
212C2×C3×D12C2311yescharacteristic
213C2×C3×D12C2311yescharacteristic
214C2×C3×D12C2312yes—
215C2×C3×C4×D3C2311yescharacteristic
216C2×C3×C4×D3C2311yescharacteristic
217C2×C3×C4×D3C2312yes—
218C2×C3×C4×D3C2311yescharacteristic
219C2×C3×C4×D3C2311yescharacteristic
220C2×C3×Dic6C2311yescharacteristic
221C2×C3×Dic6C2311yescharacteristic
222C2×C3×Dic6C2311yescharacteristic
223#3811—24no—
224#3811—24no—
225#3811—28no—
226D3×#67—28no—
227D3×#67—44no—
228C2×#627C2311yescharacteristic
229C2×#627C2311yescharacteristic
230C2×#626—28no—
231C2×#626C2311yescharacteristic
232C2×#626C2311yescharacteristic
233C2×#626C2312yes—
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—
247#3805—24no—
248#3805—24no—
249#3804—28no—
250C2×D3×Dic3C2311yescharacteristic
251C2×D3×Dic3C2311yescharacteristic
252C2×D3×Dic3C2311yescharacteristic
253C2×D3×Dic3C2311yescharacteristic
254C2×D3×Dic3C2312yes—
255C2×D3×Dic3C2312yes—
256#3802—24no—
257D3×D12—24no—
258D3×D12—44no—
259C4×D32—24no—
260C4×D32—24no—
261#3799—24no—
262#3798—24no—
263#3798D418yescomplemented
264#3797—24no—
265#3796—24no—
266#3796—24no—
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—
303C2×C3×#41—31no—
304C2×C3×#41—31no—
305C22×C3×D4—31no—
306C22×#67—32no—
307C22×#67—32no—
308C22×#67—32no—
309#1009—68no—
310D3×#41—68no—
311D3×#41—68no—
312C2×#239—31no—
313C2×#239—31no—
314C2×#239—31no—
315C2×#239—31no—
316C2×D3×Q8—31no—
317C2×D3×Q8—31no—
318#1004—68no—
319C2×#237—31no—
320C2×#237—31no—
321C2×#237—31no—
322C2×#237—31no—
323C2×#237—32no—
324C2×#237—31no—
325C2×#237—31no—
326C2×#237—31no—
327C2×#237C2×D311yescharacteristic, complemented
328C2×D3×D4—32no—
329C2×D3×D4—31no—
330C2×D3×D4—31no—
331C2×D3×D4—32no—
332C2×D3×D4—31no—
333C2×D3×D4—31no—
334C2×D3×D4—31no—
335C2×D3×D4—31no—
336C2×D3×D4—32no—
337C2×D3×D4—32no—
338C2×D3×D4—32no—
339C2×D3×D4—32no—
340C2×D3×D4—31no—
341C2×D3×D4—31no—
342C2×D3×D4—31no—
343C2×D3×D4—32no—
344C2×D3×D4—61no—
345C2×D3×D4—62no—
346C2×D3×D4C2×D311yescharacteristic, complemented
347C2×#235—32no—
348C2×#235—31no—
349C2×#235—31no—
350C2×#235—31no—
351C2×#235—31no—
352C2×#235—31no—
353C2×#235C2×D311yescharacteristic, complemented
354C2×#235C2×D311yescharacteristic, complemented
355C22×D12—32no—
356C22×D12—31no—
357C22×D12—32no—
358C22×C4×D3—31no—
359C22×C4×D3—31no—
360C22×C4×D3—31no—
361C22×C4×D3—31no—
362C22×C4×D3—31no—
363C22×C4×D3—31no—
364C22×C4×D3—61no—
365C3×#127—32no—
366C3×#124—32no—
367C3×C22⋊Q8—31no—
368C3×C22⋊Q8—31no—
369C3×C22⋊Q8—32no—
370C3×#121—21no—
371C3×#121—31no—
372C3×#121—31no—
373C3×#121—32no—
374C3×#121—32no—
375C3×#121—31no—
376C3×#121—31no—
377C3×#121—32no—
378C3×#121C2×D311yescharacteristic, complemented
379C3×#121C2×D311yescharacteristic, complemented
380C3×#120—32no—
381C3×#120—32no—
382C3×#117—31no—
383C2×C3×C4⋊C4—31no—
384C2×#217—32no—
385#947—32no—
386#946—31no—
387#946—31no—
388#946—32no—
389#940—32no—
390#940—32no—
391#940—32no—
392#940—32no—
393#940C2×D312yescomplemented
394#939—32no—
395#939—32no—
396#939—32no—
397#939—32no—
398#939—32no—
399#939—32no—
400#939—32no—
401#939—62no—
402#939C2×D312yescomplemented
403#938—31no—
404#938—31no—
405#938—32no—
406#938—31no—
407#938—32no—
408#938—32no—
409#938—32no—
410#938—31no—
411#938—61no—
412#938C2×D312yescomplemented
413#938C2×D311yescharacteristic, complemented
414#938C2×D311yescharacteristic, complemented
415#937—32no—
416#937—32no—
417#937—32no—
418#937—32no—
419#937—32no—
420#937—32no—
421#937—32no—
422#937—32no—
423#937C2×D312yescomplemented
424#935—32no—
425D4×Dic3—32no—
426D4×Dic3—32no—
427#930—31no—
428#930—31no—
429#930—31no—
430#930—31no—
431#930—31no—
432#930—61no—
433#930C2×D311yescharacteristic, complemented
434C4×#67—32no—
435C4×#67—32no—
436C4×#67—32no—
437C4×#67—32no—
438C2×(C2×D3)⋊C4—32no—
439#926—31no—
440C2×C4⋊Dic3—31no—
441#924—31no—
442#924C2×D311yescharacteristic, complemented
443#897—31no—
444#897C2×D311yescharacteristic, complemented
445#896—32no—
446#896—32no—
447#895—32no—
448#895—31no—
449#895—32no—
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#886—32no—
474#885—32no—
475#885—32no—
476#885—32no—
477#885C2×D312yescomplemented
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—32no—
487#884—62no—
488#884C2×D312yescomplemented
489#883—32no—
490#883—32no—
491#882—32no—
492#882—32no—
493#882—32no—
494#882—32no—
495#882—32no—
496#882—32no—
497#882C2×D312yescomplemented
498#67⋊C4—32no—
499#67⋊C4—32no—
500#67⋊C4—32no—
501#67⋊C4—32no—
502#67⋊C4—32no—
503#67⋊C4—32no—
504D3×C22⋊C4—32no—
505D3×C22⋊C4—32no—
506D3×C22⋊C4—32no—
507D3×C22⋊C4—32no—
508D3×C22⋊C4—62no—
509#878—32no—
510#878C2×D312yescomplemented
511C4×D12—32no—
512C4×D12—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—24no—
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—24no—
550#638—24no—
551#638—42no—
552C2×C3⋊Dic3—22no—
553C2×C3⋊Dic3C2412yes—
554C2×C3⋊Dic3C2411yescharacteristic
555C2×C3⋊Dic3C2411yescharacteristic
556C4⋊(C3⋊D3)—24no—
557C4⋊(C3⋊D3)—22no—
558C4×C3⋊D3—22no—
559C4×C3⋊D3—22no—
560C4×C3⋊D3—22no—
561C4×C3⋊D3—42no—
562C4×C3⋊D3C2×D414yescomplemented
563C3×#67—22no—
564C3×#67—22no—
565C3×#67—24no—
566C3×#67—24no—
567C3×#67—22no—
568C3×#67—22no—
569C3×#67—42no—
570C3×#67—42no—
571C3×#67—42no—
572C2×C3×Dic3—24no—
573C2×C3×Dic3C2412yes—
574C2×C3×Dic3C2412yes—
575C2×C3×Dic3C2411yescharacteristic
576C2×C3×Dic3C2412yes—
577C2×C3×Dic3C2411yescharacteristic
578C2×C3×Dic3C2411yescharacteristic
579C2×C3×Dic3C2411yescharacteristic
580C3×D12—22no—
581C3×D12—22no—
582C3×D12—22no—
583C3×D12—42no—
584C3×C4×D3—22no—
585C3×C4×D3—22no—
586C3×C4×D3—42no—
587C3×C4×D3C2×D414yescomplemented
588C3×C4×D3C2×D414yescomplemented
589C3×Dic6—22no—
590C3×Dic6—22no—
591C3×Dic6—22no—
592#627—22no—
593#627C2×D414yescomplemented
594#626—22no—
595#626—22no—
596#626—24no—
597#626—24no—
598#626—24no—
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—
610D3×Dic3—22no—
611D3×Dic3—22no—
612D3×Dic3—24no—
613D3×Dic3—22no—
614D3×Dic3—22no—
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—31no—
627#537—91no—
628#537—91no—
629#535—31no—
630#535—91no—
631#535—91no—
632#525—91no—
633#525—91no—
634#525—91no—
635C2×#121—91no—
636C2×#121—91no—
637C2×#121—91no—
638#520—91no—
639C24×C3—32no—
640C23×D3—31no—
641C23×D3—31no—
642C23×D3—32no—
643C23×D3—32no—
644C23×D3—31no—
645C23×D3—31no—
646C23×D3—31no—
647C23×D3—31no—
648C23×D3—32no—
649C23×D3—32no—
650C23×D3—61no—
651C23×D3—62no—
652C23×D3C22×D312yes—
653C3×#41—64no—
654C3×#41—64no—
655C3×#41—64no—
656C2×C3×Q8—31no—
657C2×C3×Q8—31no—
658C2×C3×Q8—31no—
659C2×C3×D4—21no—
660C2×C3×D4—22no—
661C2×C3×D4—32no—
662C2×C3×D4—31no—
663C2×C3×D4—32no—
664C2×C3×D4—31no—
665C2×C3×D4—31no—
666C2×C3×D4—31no—
667C2×C3×D4—32no—
668C2×C3×D4—32no—
669C2×C3×D4—32no—
670C2×C3×D4—31no—
671C2×C3×D4—31no—
672C2×C3×D4—31no—
673C2×C3×D4—32no—
674C2×C3×D4—64no—
675C2×C3×D4C22×D311yescharacteristic
676C2×C3×D4C22×D311yescharacteristic
677C2×C3×D4C22×D312yes—
678C2×C3×D4C22×D312yes—
679C22×C3×C4—21no—
680C22×C3×C4—31no—
681C22×C3×C4—31no—
682C22×C3×C4—32no—
683C22×C3×C4—31no—
684C22×C3×C4—31no—
685C22×C3×C4—32no—
686C22×C3×C4C22×D311yescharacteristic
687C22×C3×C4C22×D311yescharacteristic
688C2×#67—31no—
689C2×#67—31no—
690C2×#67—32no—
691C2×#67—32no—
692C2×#67—32no—
693C2×#67—32no—
694C2×#67—31no—
695C2×#67—31no—
696C2×#67—32no—
697C2×#67—32no—
698C2×#67—32no—
699C2×#67—32no—
700C2×#67—31no—
701C2×#67—31no—
702C2×#67—32no—
703C2×#67—32no—
704C2×#67—32no—
705C2×#67—31no—
706C2×#67—32no—
707C2×#67—31no—
708C2×#67—32no—
709C2×#67—32no—
710C2×#67—62no—
711C2×#67—62no—
712C2×#67—62no—
713C2×#67—68no—
714C2×#67—68no—
715C2×#67—124no—
716C2×#67C22×D312yes—
717C2×#67C22×D311yescharacteristic
718C2×#67C22×D311yescharacteristic
719C2×#67C22×D312yes—
720C2×#67C22×D311yescharacteristic
721C2×#67C22×D311yescharacteristic
722C2×#67C22×D312yes—
723C2×#67C22×D312yes—
724C2×#67C22×D312yes—
725C22×Dic3—31no—
726C22×Dic3—31no—
727C22×Dic3—32no—
728C22×Dic3—31no—
729C22×Dic3—31no—
730C22×Dic3—31no—
731C22×Dic3—31no—
732C22×Dic3—32no—
733C22×Dic3—61no—
734C22×Dic3C22×D312yes—
735#239—64no—
736#239—64no—
737#239—64no—
738#239—64no—
739D3×Q8—64no—
740D3×Q8—64no—
741#237—24no—
742#237—64no—
743#237—64no—
744#237—64no—
745#237—68no—
746#237—64no—
747#237—64no—
748#237—64no—
749#237—64no—
750D3×D4—24no—
751D3×D4—64no—
752D3×D4—64no—
753D3×D4—64no—
754D3×D4—64no—
755D3×D4—68no—
756D3×D4—64no—
757D3×D4—64no—
758D3×D4—64no—
759D3×D4—64no—
760D3×D4—68no—
761D3×D4—68no—
762D3×D4—64no—
763D3×D4—124no—
764D3×D4—124no—
765D3×D4—124no—
766D3×D4—124no—
767D3×D4—124no—
768D3×D4—128no—
769#235—24no—
770#235—24no—
771#235—38no—
772#235—38no—
773#235—64no—
774#235—68no—
775#235—64no—
776#235—64no—
777C2×D12—31no—
778C2×D12—31no—
779C2×D12—31no—
780C2×D12—31no—
781C2×D12—32no—
782C2×D12—32no—
783C2×D12—32no—
784C2×D12—32no—
785C2×D12—32no—
786C2×D12—32no—
787C2×D12—31no—
788C2×D12—31no—
789C2×D12—32no—
790C2×D12—32no—
791C2×D12—62no—
792C2×D12—61no—
793C2×D12—64no—
794C2×D12—68no—
795C2×D12—124no—
796C2×D12C22×D311yescharacteristic
797C2×D12C22×D311yescharacteristic
798C2×D12C22×D311yescharacteristic
799C2×D12C22×D312yes—
800C2×C4×D3—31no—
801C2×C4×D3—31no—
802C2×C4×D3—31no—
803C2×C4×D3—31no—
804C2×C4×D3—31no—
805C2×C4×D3—32no—
806C2×C4×D3—31no—
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—31no—
814C2×C4×D3—32no—
815C2×C4×D3—31no—
816C2×C4×D3—32no—
817C2×C4×D3—31no—
818C2×C4×D3—31no—
819C2×C4×D3—32no—
820C2×C4×D3—32no—
821C2×C4×D3—32no—
822C2×C4×D3—61no—
823C2×C4×D3—61no—
824C2×C4×D3—62no—
825C2×C4×D3—61no—
826C2×C4×D3—61no—
827C2×C4×D3—64no—
828C2×C4×D3—64no—
829C2×C4×D3—64no—
830C2×C4×D3—64no—
831C2×C4×D3—64no—
832C2×C4×D3—64no—
833C2×C4×D3—124no—
834C2×C4×D3C22×D311yescharacteristic
835C2×C4×D3C22×D311yescharacteristic
836C2×C4×D3C22×D312yes—
837C2×C4×D3C22×D311yescharacteristic
838C2×C4×D3C22×D311yescharacteristic
839C2×Dic6—31no—
840C2×Dic6—31no—
841C2×Dic6—31no—
842C2×Dic6—31no—
843C2×Dic6C22×D311yescharacteristic
844C2×Dic6C22×D311yescharacteristic
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—22no—
921C22×C32—21no—
922C22×C32—22no—
923C22×C32—21no—
924C22×C32—22no—
925C22×C32C2511yescharacteristic
926C2×C3⋊D3—21no—
927C2×C3⋊D3—21no—
928C2×C3⋊D3—21no—
929C2×C3⋊D3—21no—
930C2×C3⋊D3—22no—
931C2×C3⋊D3—22no—
932C2×C3⋊D3—22no—
933C2×C3⋊D3—44no—
934C2×C3⋊D3—84no—
935C2×C3⋊D3C22×D412yes—
936C2×C3⋊D3H(5,𝔽2)12yescomplemented
937C2×C3×D3—21no—
938C2×C3×D3—21no—
939C2×C3×D3—21no—
940C2×C3×D3—21no—
941C2×C3×D3—21no—
942C2×C3×D3—21no—
943C2×C3×D3—22no—
944C2×C3×D3—21no—
945C2×C3×D3—22no—
946C2×C3×D3—21no—
947C2×C3×D3—21no—
948C2×C3×D3—21no—
949C2×C3×D3—22no—
950C2×C3×D3—84no—
951C2×C3×D3C22×D412yes—
952C2×C3×D3C22×D412yes—
953D32—44no—
954D32—44no—
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—31no—
972C2×#41—31no—
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—91no—
982C2×#41—188no—
983C22×Q8—91no—
984C22×D4—31no—
985C22×D4—91no—
986C22×D4—92no—
987C22×D4—92no—
988C22×D4—91no—
989C22×D4—91no—
990C22×D4—91no—
991C22×D4—92no—
992C22×D4—92no—
993C22×D4—92no—
994C22×D4—91no—
995C22×D4—92no—
996C23×C4—91no—
997C23×C4—91no—
998C23×C4—91no—
999#127—32no—
1000#127—92no—
1001#127—92no—
1002#124—32no—
1003#124—92no—
1004#124—92no—
1005#123—92no—
1006#123—92no—
1007#123—92no—
1008C22⋊Q8—31no—
1009C22⋊Q8—31no—
1010C22⋊Q8—32no—
1011C22⋊Q8—92no—
1012C22⋊Q8—91no—
1013C22⋊Q8—92no—
1014C22⋊Q8—91no—
1015#121—31no—
1016#121—31no—
1017#121—32no—
1018#121—32no—
1019#121—31no—
1020#121—31no—
1021#121—32no—
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—92no—
1033#121—92no—
1034#121—91no—
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—32no—
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—92no—
1053C4×D4—92no—
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—92no—
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—64no—
1078C23×C3—122no—
1079C23×C3—122no—
1080C23×C3C23×D312yes—
1081C23×C3C23×D312yes—
1082C23×C3C23×D311yescharacteristic
1083C23×C3C23×D311yescharacteristic
1084C22×D3—24no—
1085C22×D3—31no—
1086C22×D3—31no—
1087C22×D3—31no—
1088C22×D3—31no—
1089C22×D3—32no—
1090C22×D3—32no—
1091C22×D3—42no—
1092C22×D3—42no—
1093C22×D3—61no—
1094C22×D3—61no—
1095C22×D3—62no—
1096C22×D3—62no—
1097C22×D3—62no—
1098C22×D3—62no—
1099C22×D3—62no—
1100C22×D3—62no—
1101C22×D3—62no—
1102C22×D3—64no—
1103C22×D3—62no—
1104C22×D3—62no—
1105C22×D3—62no—
1106C22×D3—62no—
1107C22×D3—64no—
1108C22×D3—64no—
1109C22×D3—64no—
1110C22×D3—62no—
1111C22×D3—62no—
1112C22×D3—64no—
1113C22×D3—122no—
1114C22×D3—124no—
1115C22×D3—121no—
1116C22×D3—121no—
1117C22×D3—121no—
1118C22×D3—121no—
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×Q8—62no—
1139C3×Q8—62no—
1140C3×D4—22no—
1141C3×D4—22no—
1142C3×D4—42no—
1143C3×D4—42no—
1144C3×D4—42no—
1145C3×D4—44no—
1146C3×D4—62no—
1147C3×D4—62no—
1148C3×D4—64no—
1149C3×D4—62no—
1150C3×D4—62no—
1151C3×D4—64no—
1152C3×D4—62no—
1153C3×D4—62no—
1154C3×D4—62no—
1155C3×D4—122no—
1156C3×D4—122no—
1157C3×D4—122no—
1158C3×D4—122no—
1159C2×C3×C4—22no—
1160C2×C3×C4—22no—
1161C2×C3×C4—21no—
1162C2×C3×C4—22no—
1163C2×C3×C4—21no—
1164C2×C3×C4—31no—
1165C2×C3×C4—31no—
1166C2×C3×C4—34no—
1167C2×C3×C4—34no—
1168C2×C3×C4—32no—
1169C2×C3×C4—32no—
1170C2×C3×C4—31no—
1171C2×C3×C4—32no—
1172C2×C3×C4—31no—
1173C2×C3×C4—42no—
1174C2×C3×C4—64no—
1175C2×C3×C4—62no—
1176C2×C3×C4—62no—
1177C2×C3×C4—122no—
1178C2×C3×C4C23×D312yes—
1179C2×C3×C4C23×D312yes—
1180C2×C3×C4C23×D311yescharacteristic
1181C2×C3×C4C23×D311yescharacteristic
1182C2×C3×C4C23×D311yescharacteristic
1183C2×C3×C4C23×D311yescharacteristic
1184#67—22no—
1185#67—22no—
1186#67—24no—
1187#67—22no—
1188#67—22no—
1189#67—24no—
1190#67—34no—
1191#67—34no—
1192#67—34no—
1193#67—34no—
1194#67—42no—
1195#67—42no—
1196#67—42no—
1197#67—62no—
1198#67—62no—
1199#67—64no—
1200#67—64no—
1201#67—64no—
1202#67—62no—
1203#67—62no—
1204#67—64no—
1205#67—64no—
1206#67—64no—
1207#67—64no—
1208#67—64no—
1209#67—124no—
1210#67—124no—
1211#67—122no—
1212#67—122no—
1213#67—122no—
1214#67—122no—
1215#67—122no—
1216#67—122no—
1217#67—124no—
1218C2×Dic3—24no—
1219C2×Dic3—31no—
1220C2×Dic3—31no—
1221C2×Dic3—32no—
1222C2×Dic3—32no—
1223C2×Dic3—31no—
1224C2×Dic3—31no—
1225C2×Dic3—61no—
1226C2×Dic3—62no—
1227C2×Dic3—61no—
1228C2×Dic3—64no—
1229C2×Dic3—62no—
1230C2×Dic3—62no—
1231C2×Dic3—62no—
1232C2×Dic3—62no—
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—22no—
1246D12—22no—
1247D12—34no—
1248D12—34no—
1249D12—42no—
1250D12—64no—
1251D12—64no—
1252D12—64no—
1253D12—64no—
1254D12—64no—
1255D12—62no—
1256D12—62no—
1257D12—64no—
1258D12—62no—
1259D12—62no—
1260D12—122no—
1261D12—124no—
1262D12—122no—
1263D12—122no—
1264C4×D3—22no—
1265C4×D3—22no—
1266C4×D3—34no—
1267C4×D3—34no—
1268C4×D3—42no—
1269C4×D3—64no—
1270C4×D3—62no—
1271C4×D3—62no—
1272C4×D3—64no—
1273C4×D3—62no—
1274C4×D3—62no—
1275C4×D3—64no—
1276C4×D3—62no—
1277C4×D3—62no—
1278C4×D3—62no—
1279C4×D3—62no—
1280C4×D3—62no—
1281C4×D3—62no—
1282C4×D3—62no—
1283C4×D3—62no—
1284C4×D3—62no—
1285C4×D3—62no—
1286C4×D3—64no—
1287C4×D3—122no—
1288C4×D3—122no—
1289C4×D3—122no—
1290C4×D3—122no—
1291C4×D3—122no—
1292C4×D3—122no—
1293C4×D3—124no—
1294C4×D3D3×D414yescomplemented
1295C4×D3D3×D414yescomplemented
1296Dic6—22no—
1297Dic6—22no—
1298Dic6—22no—
1299Dic6—34no—
1300Dic6—34no—
1301Dic6—62no—
1302Dic6—62no—
1303C2×C32—41no—
1304C2×C32—42no—
1305C2×C32C23×D411yescharacteristic
1306C2×C32C2×H(5,𝔽2)11yescharacteristic
1307C2×C32#58511yescharacteristic
1308C3⋊D3—22no—
1309C3⋊D3—22no—
1310C3⋊D3—42no—
1311C3×D3—22no—
1312C3×D3—22no—
1313C3×D3—41no—
1314C3×D3—41no—
1315C3×D3—42no—
1316C24—32no—
1317C24—91no—
1318C24—91no—
1319C24—92no—
1320C24—91no—
1321C24—92no—
1322#41—64no—
1323#41—64no—
1324#41—64no—
1325#41—98no—
1326#41—184no—
1327#41—184no—
1328#41—188no—
1329#41—184no—
1330#41—184no—
1331#41—184no—
1332#41—184no—
1333#41—184no—
1334C2×Q8—31no—
1335C2×Q8—31no—
1336C2×Q8—31no—
1337C2×Q8—91no—
1338C2×Q8—91no—
1339C2×Q8—184no—
1340C2×D4—31no—
1341C2×D4—31no—
1342C2×D4—32no—
1343C2×D4—31no—
1344C2×D4—32no—
1345C2×D4—31no—
1346C2×D4—32no—
1347C2×D4—32no—
1348C2×D4—32no—
1349C2×D4—31no—
1350C2×D4—31no—
1351C2×D4—31no—
1352C2×D4—32no—
1353C2×D4—64no—
1354C2×D4—91no—
1355C2×D4—91no—
1356C2×D4—92no—
1357C2×D4—91no—
1358C2×D4—91no—
1359C2×D4—92no—
1360C2×D4—92no—
1361C2×D4—92no—
1362C2×D4—92no—
1363C2×D4—92no—
1364C2×D4—91no—
1365C2×D4—91no—
1366C2×D4—92no—
1367C2×D4—92no—
1368C2×D4—92no—
1369C2×D4—92no—
1370C2×D4—92no—
1371C2×D4—91no—
1372C2×D4—184no—
1373C2×D4—188no—
1374C2×D4—184no—
1375C2×D4—184no—
1376C2×D4—184no—
1377C2×D4—184no—
1378C2×D4—188no—
1379C2×D4—188no—
1380C2×D4—364no—
1381C2×D4—364no—
1382C2×D4—364no—
1383C2×D4C2×D3211yescharacteristic
1384C2×D4C2×D3212yes—
1385C22×C4—31no—
1386C22×C4—31no—
1387C22×C4—32no—
1388C22×C4—31no—
1389C22×C4—31no—
1390C22×C4—32no—
1391C22×C4—91no—
1392C22×C4—91no—
1393C22×C4—92no—
1394C22×C4—91no—
1395C22×C4—91no—
1396C22×C4—91no—
1397C22×C4—91no—
1398C22×C4—92no—
1399C22×C4—92no—
1400C22×C4—91no—
1401C22×C4—91no—
1402C22×C4—91no—
1403C22×C4—91no—
1404C22×C4—91no—
1405C22×C4—92no—
1406C22×C4—184no—
1407C22×C4—184no—
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—22no—
1444C22×C3—22no—
1445C22×C3—21no—
1446C22×C3—21no—
1447C22×C3—22no—
1448C22×C3—22no—
1449C22×C3—22no—
1450C22×C3—21no—
1451C22×C3—21no—
1452C22×C3—21no—
1453C22×C3—22no—
1454C22×C3—21no—
1455C22×C3—22no—
1456C22×C3—21no—
1457C22×C3—32no—
1458C22×C3—32no—
1459C22×C3—41no—
1460C22×C3—41no—
1461C22×C3—42no—
1462C22×C3—42no—
1463C22×C3—42no—
1464C22×C3—61no—
1465C22×C3—61no—
1466C22×C3—61no—
1467C22×C3—61no—
1468C22×C3—61no—
1469C22×C3—61no—
1470C22×C3—62no—
1471C22×C3—62no—
1472C22×C3—61no—
1473C22×C3—61no—
1474C22×C3—61no—
1475C22×C3—61no—
1476C22×C3—62no—
1477C22×C3—244no—
1478C22×C3C24×D311yescharacteristic
1479C22×C3C24×D311yescharacteristic
1480C2×D3—21no—
1481C2×D3—21no—
1482C2×D3—21no—
1483C2×D3—21no—
1484C2×D3—21no—
1485C2×D3—21no—
1486C2×D3—22no—
1487C2×D3—21no—
1488C2×D3—22no—
1489C2×D3—21no—
1490C2×D3—21no—
1491C2×D3—22no—
1492C2×D3—21no—
1493C2×D3—32no—
1494C2×D3—32no—
1495C2×D3—32no—
1496C2×D3—32no—
1497C2×D3—62no—
1498C2×D3—62no—
1499C2×D3—62no—
1500C2×D3—62no—
1501C2×D3—61no—
1502C2×D3—61no—
1503C2×D3—61no—
1504C2×D3—61no—
1505C2×D3—61no—
1506C2×D3—61no—
1507C2×D3—61no—
1508C2×D3—61no—
1509C2×D3—62no—
1510C2×D3—62no—
1511C2×D3—62no—
1512C2×D3—62no—
1513C2×D3—62no—
1514C2×D3—62no—
1515C2×D3—84no—
1516C2×D3—121no—
1517C2×D3—121no—
1518C2×D3—122no—
1519C2×D3—122no—
1520C2×D3—122no—
1521C2×D3—124no—
1522C2×D3—124no—
1523C2×D3—124no—
1524C2×D3—124no—
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—21no—
1552Dic3—21no—
1553Dic3—22no—
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—64no—
1574C23—91no—
1575C23—91no—
1576C23—92no—
1577C23—122no—
1578C23—122no—
1579C23—182no—
1580C23—182no—
1581C23—184no—
1582C23—182no—
1583C23—182no—
1584C23—184no—
1585C23—182no—
1586C23—182no—
1587C23—361no—
1588C23—362no—
1589C23—362no—
1590C23—361no—
1591C23—361no—
1592C23—362no—
1593C23—362no—
1594C23C22×D3212yes—
1595C23C22×D3211yescharacteristic
1596Q8—62no—
1597Q8—62no—
1598Q8—62no—
1599Q8—94no—
1600Q8—182no—
1601D4—22no—
1602D4—42no—
1603D4—62no—
1604D4—62no—
1605D4—64no—
1606D4—62no—
1607D4—62no—
1608D4—64no—
1609D4—62no—
1610D4—62no—
1611D4—62no—
1612D4—94no—
1613D4—94no—
1614D4—94no—
1615D4—122no—
1616D4—122no—
1617D4—122no—
1618D4—122no—
1619D4—184no—
1620D4—184no—
1621D4—184no—
1622D4—184no—
1623D4—182no—
1624D4—182no—
1625D4—184no—
1626D4—184no—
1627D4—182no—
1628D4—184no—
1629D4—182no—
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—64no—
1645C2×C4—62no—
1646C2×C4—62no—
1647C2×C4—91no—
1648C2×C4—94no—
1649C2×C4—92no—
1650C2×C4—91no—
1651C2×C4—122no—
1652C2×C4—182no—
1653C2×C4—182no—
1654C2×C4—182no—
1655C2×C4—182no—
1656C2×C4—184no—
1657C2×C4—182no—
1658C2×C4—182no—
1659C2×C4—184no—
1660C2×C4—182no—
1661C2×C4—182no—
1662C2×C4—182no—
1663C2×C4—182no—
1664C2×C4—362no—
1665C2×C4—362no—
1666C2×C4C22×D3212yes—
1667C2×C4C22×D3211yescharacteristic
1668C2×C4C22×D3211yescharacteristic
1669C2×C3—21no—
1670C2×C3—21no—
1671C2×C3—21no—
1672C2×C3—42no—
1673C2×C3—42no—
1674C2×C3—41no—
1675C2×C3—41no—
1676C2×C3—42no—
1677C2×C3—62no—
1678C2×C3—62no—
1679C2×C3—82no—
1680C2×C3—121no—
1681C2×C3—121no—
1682C2×C3—122no—
1683C2×C3C22×D3×D411yescharacteristic
1684C2×C3C22×D3×D411yescharacteristic
1685C2×C3D3×H(5,𝔽2)11yescharacteristic
1686C2×C3D3×H(5,𝔽2)11yescharacteristic
1687C2×C3#596611yescharacteristic
1688C2×C3#596811yescharacteristic
1689D3—22no—
1690D3—22no—
1691D3—42no—
1692D3—41no—
1693D3—41no—
1694D3—64no—
1695D3—62no—
1696D3—62no—
1697D3—62no—
1698D3—62no—
1699D3—122no—
1700D3—122no—
1701D3—122no—
1702D3—242no—
1703C22—21no—
1704C22—22no—
1705C22—21no—
1706C22—22no—
1707C22—21no—
1708C22—22no—
1709C22—32no—
1710C22—32no—
1711C22—61no—
1712C22—61no—
1713C22—61no—
1714C22—61no—
1715C22—61no—
1716C22—61no—
1717C22—62no—
1718C22—61no—
1719C22—61no—
1720C22—62no—
1721C22—61no—
1722C22—62no—
1723C22—61no—
1724C22—92no—
1725C22—92no—
1726C22—181no—
1727C22—181no—
1728C22—181no—
1729C22—181no—
1730C22—182no—
1731C22—182no—
1732C22—182no—
1733C22—244no—
1734C22—364no—
1735C22—364no—
1736C22—364no—
1737C22—724no—
1738C22—724no—
1739C22C23×D3211yescharacteristic
1740C4—21no—
1741C4—22no—
1742C4—32no—
1743C4—32no—
1744C4—62no—
1745C4—61no—
1746C4—61no—
1747C4—62no—
1748C4—62no—
1749C4—92no—
1750C4—181no—
1751C4—182no—
1752C4D32×D412yes—
1753C3—21no—
1754C3#8633111yescharacteristic, complemented
1755C3#8637911yescharacteristic, complemented
1756C2—42no—
1757C2—41no—
1758C2—62no—
1759C2—62no—
1760C2—122no—
1761C2—121no—
1762C2—121no—
1763C2—182no—
1764C2—182no—
1765C2—362no—
1766C2C2×D32×D411yescharacteristic
1767C2#1059667511yescharacteristic
1768C2#1059669811yescharacteristic
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×#64306C2semidirect
3. C3⋊D3×#121C2semidirect
4. C3×#5608C2semidirect
5. C3×#5607C2semidirect
6. #10595301C2semidirect
7. #10595297C2semidirect
8. #10595292C2semidirect
9. #10595290C2semidirect
10. D3×#938C2semidirect
11. #10595241C2semidirect
12. #10595227C2semidirect
13. #10595064C2semidirect
14. #10594922C2semidirect
15. #10594894C2semidirect
16. #10594627C2semidirect
17. D3×#895C2semidirect
18. #10594528C2semidirect
19. #10594510C2semidirect
20. #10594285C2semidirect
21. #10594275C2semidirect
22. #10594075C2semidirect
23. #10594063C2semidirect
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×#235C22semidirect
32. C2×C3×#235C22semidirect
33. C2×#3811C22semidirect
34. C2×#3811C22semidirect
35. C2×#3811C22semidirect
36. C2×D3×#67C22semidirect
37. C2×D3×#67C22semidirect
38. C22×#626C22semidirect
39. C2×#3805C22semidirect
40. C2×#3805C22semidirect
41. C2×#3804C22semidirect
44. C2×#3802C22semidirect
45. C2×D3×D12C22semidirect
46. C2×D3×D12C22semidirect
47. C2×C4×D32C22semidirect
48. C2×C4×D32C22semidirect
49. C2×#3799C22semidirect
51. C2×#3798C22semidirect
52. C2×#3797C22semidirect
53. C2×#3796C22semidirect
54. C2×#3796C22semidirect
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×#940C22semidirect
65. C3×#939C22semidirect
66. C3×#938C22semidirect
67. C3×#938C22semidirect
68. C3×#938C22semidirect
69. C3×#937C22semidirect
70. C3×#930C22semidirect
71. C3×#924C22semidirect
72. C3×#897C22semidirect
73. C3×#895C22semidirect
74. C3×#892C22semidirect
75. C3×D3×C4⋊C4C22semidirect
76. C3×#885C22semidirect
77. C3×#884C22semidirect
78. C3×#882C22semidirect
79. C3×#878C22semidirect
80. #63983C22semidirect
81. #63983C22semidirect
82. #63981C22semidirect
83. #63981C22semidirect
84. #63981C22semidirect
85. #63979C22semidirect
86. #63979C22semidirect
87. #67⋊Dic3C22semidirect
88. Dic3×#67C22semidirect
89. #63971C22semidirect
90. #63970C22semidirect
91. #63969C22semidirect
92. D3×#217C22semidirect
93. #63958C22semidirect
94. #63958C22semidirect
95. #63953C22semidirect
96. #63952C22semidirect
97. #63923C22semidirect
98. #63922C22semidirect
99. D3×(C2×D3)⋊C4C22semidirect
100. #63916C22semidirect
101. #63916C22semidirect
102. #63912C22semidirect
103. #63910C22semidirect
104. #63909C22semidirect
105. #63909C22semidirect
106. #63908C22semidirect
107. #63907C22semidirect
108. C4×#626C22semidirect
109. #63899C22semidirect
110. #63894C22semidirect
111. #63890C22semidirect
112. D3×C4⋊Dic3C22semidirect
113. #63888C22semidirect
114. #63886C22semidirect
115. #63886C22semidirect
116. #63885C22semidirect
117. #63881C22semidirect
118. #63881C22semidirect
119. #63880C22semidirect
120. #63879C22semidirect
121. #63871C22semidirect
122. #63856C22semidirect
123. #63853C22semidirect
124. #63849C22semidirect
125. #63841C22semidirect
126. #63837C22semidirect
153. #5608D3semidirect
157. #5607D3semidirect
263. #3798D4semidirect
327. C2×#237C2×D3semidirect
346. C2×D3×D4C2×D3semidirect
353. C2×#235C2×D3semidirect
354. C2×#235C2×D3semidirect
378. C3×#121C2×D3semidirect
379. C3×#121C2×D3semidirect
393. #940C2×D3semidirect
402. #939C2×D3semidirect
412. #938C2×D3semidirect
413. #938C2×D3semidirect
414. #938C2×D3semidirect
423. #937C2×D3semidirect
433. #930C2×D3semidirect
442. #924C2×D3semidirect
444. #897C2×D3semidirect
457. #895C2×D3semidirect
466. #892C2×D3semidirect
471. D3×C4⋊C4C2×D3semidirect
477. #885C2×D3semidirect
488. #884C2×D3semidirect
497. #882C2×D3semidirect
510. #878C2×D3semidirect
562. C4×C3⋊D3C2×D4semidirect
587. C3×C4×D3C2×D4semidirect
588. C3×C4×D3C2×D4semidirect
593. #627C2×D4semidirect
602. #626C2×D4semidirect
603. #626C2×D4semidirect
606. #625C2×D4semidirect
936. C2×C3⋊D3H(5,𝔽2)semidirect
1041. #121D32semidirect
1294. C4×D3D3×D4semidirect
1295. C4×D3D3×D4semidirect
1567. C32#3488semidirect
1754. C3#86331semidirect
1755. 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×#643062
C3⋊D3×#1212
C3×#56082
C3×#56072
#105953012
#105952972
#105952922
#105952902
D3×#9382
#105952412
#105952272
#105950642
#105949222
#105948942
#105946272
D3×#8952
#105945282
#105945102
#105942852
#105942752
#105940752
#105940632
#863793
#863313