Finite Group Databasebeta

← #11904673

Subgroups — #11904673

Order 1152.

3463 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64320C211yesmaximal, characteristic, complemented
2C2×D3×#235C211yesmaximal, characteristic, complemented
3#10596100C211yesmaximal, characteristic, complemented
4C3×#5629C211yesmaximal, characteristic, complemented
5C3×#5627C211yesmaximal, characteristic, complemented
6#10595430C211yesmaximal, characteristic, complemented
7#10595424C211yesmaximal, characteristic, complemented
8#10595398C211yesmaximal, characteristic, complemented
9#10595082C211yesmaximal, characteristic, complemented
10#10595064C211yesmaximal, characteristic, complemented
11D3×#930C211yesmaximal, characteristic, complemented
12#10594628C211yesmaximal, characteristic, complemented
13#10594621C212yesmaximal, complemented
14#10594620C212yesmaximal, complemented
15#10594617C212yesmaximal, complemented
16#10594612C211yesmaximal, characteristic, complemented
17D3×#895C211yesmaximal, characteristic, complemented
18#10594510C211yesmaximal, characteristic, complemented
19#10594375C212yesmaximal, complemented
20#10594283C212yesmaximal, complemented
21#10594275C212yesmaximal, complemented
22#10594275C212yesmaximal, complemented
23#10594246C212yesmaximal, complemented
24#86379—31nomaximal
25#86041—31nomaximal
26C2×#3832C2211yescharacteristic, complemented
27C2×#3828C2211yescharacteristic, complemented
28C2×C3×#239C2211yescharacteristic, complemented
29C2×C3×#239C2211yescharacteristic, complemented
30C2×C3×#235C2211yescharacteristic, complemented
31C22×C3×C4×D3C2211yescharacteristic, complemented
32C2×D3×#67C2211yescharacteristic, complemented
33C2×D3×#67C2211yescharacteristic, complemented
34C2×D3×#67C2212yescomplemented
35C2×#3804C2211yescharacteristic, complemented
36C2×#3804C2211yescharacteristic, complemented
37#64320—28no—
38D3×#235—28no—
39C2×#3802C2211yescharacteristic, complemented
40C2×#3802C2212yescomplemented
41C2×#3802C2212yescomplemented
42C2×D3×D12C2211yescharacteristic, complemented
43C2×D3×D12C2211yescharacteristic, complemented
44C2×D3×D12C2212yescomplemented
45C2×D3×D12C2212yescomplemented
46C2×D3×D12C2211yescharacteristic, complemented
47C2×D3×D12C2212yescomplemented
48C2×C4×D32C2211yescharacteristic, complemented
49C2×C4×D32C2211yescharacteristic, complemented
50C2×#3799C2211yescharacteristic, complemented
51C2×#3798C2211yescharacteristic
52C2×#3798C2211yescharacteristic, complemented
53C2×#3798C2212yescomplemented
54C2×#3795C2211yescharacteristic, complemented
55C2×D3×Dic6C2211yescharacteristic, complemented
56C32×C22⋊Q8C2211yescharacteristic, complemented
57#64155C2211yescharacteristic, complemented
58#64139C2211yescharacteristic, complemented
59#64105C2212yescomplemented
60#64104C2211yescharacteristic, complemented
61#64104C2212yescomplemented
62C4⋊C4×C3⋊D3C2211yescharacteristic, complemented
63#64093C2212yescomplemented
64#64093C2212yescomplemented
65C3×#946C2211yescharacteristic, complemented
66C3×#946C2211yescharacteristic, complemented
67C3×#930C2211yescharacteristic, complemented
68C3×#930C2211yescharacteristic, complemented
69C3×#896C2212yescomplemented
70C3×#895C2211yescharacteristic, complemented
71C3×#895C2211yescharacteristic, complemented
72C3×#895C2212yescomplemented
73C3×#894C2212yescomplemented
74C3×#893C2212yescomplemented
75C3×#892C2211yescharacteristic, complemented
76C3×D3×C4⋊C4C2211yescharacteristic, complemented
77C3×#884C2212yescomplemented
78C3×#884C2212yescomplemented
79C3×#882C2212yescomplemented
80C3×#67⋊C4C2212yescomplemented
81#63983C2212yescomplemented
82#63983C2212yescomplemented
83#63979C2212yescomplemented
84#63979C2212yescomplemented
85#63978C2212yescomplemented
86#63923C2212yescomplemented
87#63923C2212yescomplemented
88#63923C2212yescomplemented
89#63922C2212yescomplemented
90#63922C2212yescomplemented
91#63922C2212yescomplemented
92#63921C2212yescomplemented
93D3×(C2×D3)⋊C4C2212yescomplemented
94D3×(C2×D3)⋊C4C2212yescomplemented
95#63916C2211yescharacteristic, complemented
96#63916C2211yescharacteristic, complemented
97#63913C2212yescomplemented
98#63911C2212yescomplemented
99#63910C2212yescomplemented
100#63909C2211yescharacteristic, complemented
101#63909C2211yescharacteristic, complemented
102#63908C2211yescharacteristic, complemented
103#63908C2211yescharacteristic, complemented
104#63907C2212yescomplemented
105#63906C2212yescomplemented
106#63906C2212yescomplemented
107#63904C2212yescomplemented
108C4×#626C2212yescomplemented
109#63897C2212yescomplemented
110D3×C4⋊Dic3C2211yescharacteristic, complemented
111#63886C2212yescomplemented
112#63886C2212yescomplemented
113#63885C2212yescomplemented
114#63885C2212yescomplemented
115#63885C2212yescomplemented
116#63884C2212yescomplemented
117#63881C2212yescomplemented
118#63881C2212yescomplemented
119#63881C2212yescomplemented
120#63879C2212yescomplemented
121#63879C2212yescomplemented
122#63852C2212yescomplemented
123#63851C2212yescomplemented
124#63849C2211yescharacteristic, complemented
125#63841C2211yescharacteristic, complemented
126#63837C2212yescomplemented
127C2×#1009—31no—
128C2×#1009—31no—
129C2×D3×#41—31no—
130C22×#235—31no—
131C3×#537—31no—
132C3×#525—31no—
133#5833—31no—
134#5830—31no—
135#5828—31no—
136C2×#930—31no—
137#5654—32no—
138#5654—32no—
139#5633—32no—
140#5630—32no—
141#5629—31no—
142#5629—31no—
143#5629—31no—
144#5629—61no—
145#5629D311yescharacteristic, complemented
146#5627—31no—
147#5627—31no—
148#5627—31no—
149#5627D311yescharacteristic, complemented
150#5610—32no—
151#5610—32no—
152#5609—32no—
153#5609—32no—
154#5609—32no—
155#5607—31no—
156#5607—31no—
157#5607—31no—
158#5607—31no—
159D3×#121—31no—
160D3×#121—31no—
161D3×#121—31no—
162D3×#121—31no—
163#5599—32no—
164#5590—32no—
165#5590—32no—
166#5553—32no—
167#5552—32no—
168#5550—32no—
169D4×D12—32no—
170#5525—31no—
171#5523—31no—
172C2×#895—31no—
173#5504—31no—
174C23×C3×D3C2311yescharacteristic
175C22×D32C2311yescharacteristic
176C22×D32C2311yescharacteristic
177C22×D32C2312yes—
178C22×D32C2312yes—
179C22×D32C2312yes—
180C2×C32×Q8C2311yescharacteristic
181C22×C32×C4C2311yescharacteristic
182C2×#638C2311yescharacteristic
183C2×#638C2311yescharacteristic
184C2×#638C2312yes—
185#3832—24no—
186#3828—24no—
187C2×C4⋊(C3⋊D3)C2311yescharacteristic
188C2×C4⋊(C3⋊D3)C2312yes—
189C2×C4⋊(C3⋊D3)C2311yescharacteristic
190C2×C4⋊(C3⋊D3)C2312yes—
191C2×C4×C3⋊D3C2311yescharacteristic
192C2×C4×C3⋊D3C2312yes—
193C2×C4×C3⋊D3C2312yes—
194C2×C4×C3⋊D3C2311yescharacteristic
195C2×#634C2311yescharacteristic
196C2×C3×#67C2311yescharacteristic
197C2×C3×#67C2311yescharacteristic
198C2×C3×#67C2312yes—
199C2×C3×#67C2312yes—
200C22×C3×Dic3C2311yescharacteristic
201C3×#239—24no—
202C3×#239—24no—
203C3×#235—24no—
204C2×C3×D12C2312yes—
205C2×C3×D12C2312yes—
206C2×C3×D12C2312yes—
207C2×C3×D12C2311yescharacteristic
208C2×C3×D12C2311yescharacteristic
209C2×C3×D12C2311yescharacteristic
210C2×C3×D12C2312yes—
211C2×C3×C4×D3—24no—
212C2×C3×C4×D3C2312yes—
213C2×C3×C4×D3C2312yes—
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
222D3×#67—24no—
223D3×#67—24no—
224D3×#67—44no—
225C2×#627C2311yescharacteristic
226C2×#627C2311yescharacteristic
227C2×#626C2311yescharacteristic
228C2×#626C2312yes—
229C2×#626C2312yes—
230C2×#626C2311yescharacteristic
231C2×#626C2312yes—
232C2×#626C2312yes—
233C2×#626C2312yes—
234C2×#626C2312yes—
235C2×#626C2311yescharacteristic
236C2×#626C2311yescharacteristic
237C2×#625C2311yescharacteristic
238C2×#625C2312yes—
239C2×#625C2312yes—
240C2×#625C2312yes—
241C2×#625C2311yescharacteristic
242C2×#624C2311yescharacteristic
243C2×#624C2311yescharacteristic
244#3804—24no—
245#3804—24no—
246C2×D3×Dic3C2311yescharacteristic
247C2×D3×Dic3C2311yescharacteristic
248C2×D3×Dic3C2311yescharacteristic
249C2×D3×Dic3C2311yescharacteristic
250C2×D3×Dic3C2312yes—
251#3802—24no—
252#3802—28no—
253#3802—44no—
254D3×D12—24no—
255D3×D12—24no—
256D3×D12—24no—
257D3×D12—28no—
258D3×D12—28no—
259D3×D12—44no—
260C4×D32—24no—
261C4×D32—24no—
262#3799—24no—
263#3798—24no—
264#3798—28no—
265#3798D418yescomplemented
266#3795—24no—
267D3×Dic6—24no—
268C32×C4⋊C4C2311yescharacteristic
269C32×C4⋊C4C2312yes—
270C32×C22⋊C4C2312yes—
271#3752C2312yes—
272#3752C2312yes—
273#3752C2312yes—
274C4⋊(C3⋊Dic3)C2311yescharacteristic
275#3750C2312yes—
276#3750C2312yes—
277C3×(C2×D3)⋊C4C2312yes—
278C3×(C2×D3)⋊C4C2312yes—
279C3×(C2×D3)⋊C4C2312yes—
280C3×(C2×D3)⋊C4C2312yes—
281C3×(C2×D3)⋊C4C2312yes—
282C3×(C2×D3)⋊C4C2312yes—
283C3×(C2×D3)⋊C4C2312yes—
284C3×C4⋊Dic3C2311yescharacteristic
285C3×C4⋊Dic3C2311yescharacteristic
286C3×Dic3⋊C4C2312yes—
287C3×Dic3⋊C4C2312yes—
288C3×Dic3⋊C4C2312yes—
289C3×C4×Dic3C2312yes—
290Dic3⋊Dic3C2312yes—
291#3722C2312yes—
292#3722C2312yes—
293#3722C2312yes—
294(C2×D3)⋊Dic3C2312yes—
295(C2×D3)⋊Dic3C2312yes—
296(C2×D3)⋊Dic3C2312yes—
297(C2×D3)⋊Dic3C2312yes—
298(C2×D3)⋊Dic3C2312yes—
299Dic32C2312yes—
300Dic32C2312yes—
301#3488—91noSylow
302C2×C3×#41—31no—
303C2×C3×#41—31no—
304C2×C3×#41—31no—
305C23×C3×C4—31no—
306C22×#67—31no—
307C22×#67—31no—
308C22×#67—32no—
309#1009—68no—
310#1009—68no—
311D3×#41—68no—
312C2×#239—31no—
313C2×#239—31no—
314C2×#239—31no—
315C2×#239—61no—
316C2×#239C2×D311yescharacteristic, complemented
317C2×#239C2×D311yescharacteristic, complemented
318C2×D3×Q8—31no—
319C2×#237—31no—
320C2×#237—31no—
321C2×#237—31no—
322C2×D3×D4—31no—
323C2×D3×D4—31no—
324C2×D3×D4—32no—
325C2×D3×D4—32no—
326C2×D3×D4—31no—
327C2×D3×D4—31no—
328C2×D3×D4—32no—
329C2×D3×D4—32no—
330C2×D3×D4—32no—
331C2×D3×D4—32no—
332C2×D3×D4—31no—
333C2×D3×D4—31no—
334C2×D3×D4—31no—
335C2×D3×D4—32no—
336C2×D3×D4—32no—
337C2×#235—31no—
338C2×#235—31no—
339C2×#235—31no—
340C2×#235—31no—
341C2×#235—31no—
342C2×#235—31no—
343C2×#235—31no—
344C2×#235—32no—
345C2×#235—31no—
346C2×#235—31no—
347C2×#235—32no—
348C2×#235—31no—
349C2×#235—61no—
350C2×#235—68no—
351C2×#235C2×D311yescharacteristic, complemented
352C22×D12—31no—
353C22×D12—31no—
354C22×D12—31no—
355C22×D12—32no—
356C22×D12—32no—
357C22×D12—32no—
358C22×C4×D3—31no—
359C22×C4×D3—31no—
360C22×C4×D3—31no—
361C22×C4×D3—31no—
362C22×C4×D3C2×D311yescharacteristic, complemented
363C22×Dic6—31no—
364C3×#123—32no—
365C3×C22⋊Q8—21no—
366C3×C22⋊Q8—31no—
367C3×C22⋊Q8—31no—
368C3×C22⋊Q8—32no—
369C3×C22⋊Q8C2×D311yescharacteristic, complemented
370C3×C22⋊Q8C2×D311yescharacteristic, complemented
371C3×#121—31no—
372C3×#121—31no—
373C3×#121—31no—
374C3×#121—31no—
375C3×#121—32no—
376C3×#121—32no—
377C3×#121—32no—
378C3×#120—32no—
379C3×C4×D4—32no—
380C3×C4×D4—32no—
381C3×#117—31no—
382C2×C3×C4⋊C4—31no—
383#947—32no—
384#946—31no—
385#946—31no—
386#946—61no—
387#946C2×D311yescharacteristic, complemented
388#946C2×D311yescharacteristic, complemented
389#940—32no—
390#940—32no—
391#940—32no—
392#940—32no—
393#940—32no—
394#939—32no—
395#939—32no—
396#939—32no—
397#939—32no—
398#939—32no—
399#939—32no—
400#938—31no—
401#938—31no—
402#938—31no—
403#938—31no—
404#937—32no—
405#937—32no—
406#937—32no—
407#937—32no—
408#937—32no—
409#937—32no—
410#937—32no—
411#935—32no—
412#930—31no—
413#930—31no—
414#930—32no—
415#930—31no—
416#930—31no—
417#930—32no—
418#930—32no—
419#930—31no—
420#930—31no—
421#930—61no—
422#930C2×D311yescharacteristic, complemented
423#930C2×D311yescharacteristic, complemented
424C4×#67—32no—
425C4×#67—32no—
426C4×#67—32no—
427C4×#67—32no—
428C2×(C2×D3)⋊C4—32no—
429C2×(C2×D3)⋊C4—32no—
430#926—31no—
431C2×C4⋊Dic3—31no—
432#924—32no—
433#896—32no—
434#896—32no—
435#896—32no—
436#896—62no—
437#896C2×D312yescomplemented
438#895—32no—
439#895—31no—
440#895—32no—
441#895—31no—
442#895—31no—
443#895—31no—
444#895—32no—
445#895—31no—
446#895—31no—
447#895—32no—
448#895—32no—
449#895—61no—
450#895—62no—
451#895C2×D312yescomplemented
452#895C2×D311yescharacteristic, complemented
453#895C2×D311yescharacteristic, complemented
454#894—32no—
455#894—32no—
456#894—32no—
457#894C2×D312yescomplemented
458#893—32no—
459#893—32no—
460#893—32no—
461#893—32no—
462#893C2×D312yescomplemented
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—32no—
487#884—62no—
488#884—62no—
489#884C2×D312yescomplemented
490#884C2×D312yescomplemented
491#882—32no—
492#882—32no—
493#882—32no—
494#882—32no—
495#882—32no—
496#882—32no—
497#882—32no—
498#882—32no—
499#882—32no—
500#882C2×D312yescomplemented
501#67⋊C4—32no—
502#67⋊C4—32no—
503#67⋊C4—32no—
504#67⋊C4—32no—
505#67⋊C4—32no—
506#67⋊C4C2×D312yescomplemented
507D3×C22⋊C4—32no—
508D3×C22⋊C4—32no—
509D3×C22⋊C4—32no—
510D3×C22⋊C4—32no—
511#875—32no—
512#874—32no—
513C4×D12—32no—
514C4×Dic6—32no—
515C23×C32C2411yescharacteristic
516C22×C3⋊D3C2412yes—
517C22×C3⋊D3C2411yescharacteristic
518C22×C3⋊D3C2411yescharacteristic
519C22×C3×D3—22no—
520C22×C3×D3—22no—
521C22×C3×D3—41no—
522C22×C3×D3C2412yes—
523C22×C3×D3C2412yes—
524C22×C3×D3C2411yescharacteristic
525C22×C3×D3C2411yescharacteristic
526C22×C3×D3C2411yescharacteristic
527C22×C3×D3C2411yescharacteristic
528C2×D32—22no—
529C2×D32—22no—
530C2×D32—22no—
531C2×D32—22no—
532C2×D32—24no—
533C2×D32—24no—
534C2×D32—24no—
535C2×D32—41no—
536C2×D32—41no—
537C2×D32—42no—
538C2×D32—42no—
539C2×D32—42no—
540C2×D32—42no—
541C2×D32—42no—
542C2×D32—42no—
543C32×Q8—22no—
544C2×C32×C4—22no—
545C2×C32×C4C2412yes—
546C2×C32×C4C2412yes—
547C2×C32×C4C2411yescharacteristic
548C2×C32×C4C2411yescharacteristic
549#638—22no—
550#638—22no—
551#638—42no—
552C2×C3⋊Dic3C2412yes—
553C2×C3⋊Dic3C2411yescharacteristic
554C2×C3⋊Dic3C2411yescharacteristic
555C4⋊(C3⋊D3)—22no—
556C4⋊(C3⋊D3)—24no—
557C4⋊(C3⋊D3)—22no—
558C4⋊(C3⋊D3)—42no—
559C4×C3⋊D3—22no—
560C4×C3⋊D3—24no—
561C4×C3⋊D3—42no—
562C4×C3⋊D3C2×D414yescomplemented
563#634—22no—
564C3×#67—22no—
565C3×#67—22no—
566C3×#67—42no—
567C3×#67—42no—
568C2×C3×Dic3—22no—
569C2×C3×Dic3C2412yes—
570C2×C3×Dic3C2412yes—
571C2×C3×Dic3C2411yescharacteristic
572C2×C3×Dic3C2411yescharacteristic
573C2×C3×Dic3C2411yescharacteristic
574C2×C3×Dic3C2411yescharacteristic
575C3×D12—22no—
576C3×D12—24no—
577C3×D12—24no—
578C3×D12—24no—
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×D3—24no—
587C3×C4×D3—24no—
588C3×C4×D3—42no—
589C3×C4×D3C2×D414yescomplemented
590C3×C4×D3C2×D414yescomplemented
591C3×Dic6—22no—
592#627—22no—
593#627C2×D414yescomplemented
594#626—22no—
595#626—24no—
596#626—24no—
597#626—24no—
598#626—22no—
599#626—42no—
600#626—42no—
601#626—42no—
602#626C2×D414yescomplemented
603#626C2×D414yescomplemented
604#625—22no—
605#625—24no—
606#625—24no—
607#625—42no—
608#625C2×D414yescomplemented
609#624—22no—
610#624—22no—
611D3×Dic3—22no—
612D3×Dic3—22no—
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—91no—
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—
640C23×D3—31no—
641C23×D3—31no—
642C23×D3—31no—
643C23×D3—31no—
644C23×D3—32no—
645C23×D3—32no—
646C23×D3—32no—
647C23×D3—32no—
648C23×D3—32no—
649C23×D3—32no—
650C23×D3C22×D311yescharacteristic
651C3×#41—64no—
652C3×#41—64no—
653C3×#41—64no—
654C2×C3×Q8—21no—
655C2×C3×Q8—31no—
656C2×C3×Q8C22×D311yescharacteristic
657C2×C3×Q8C22×D311yescharacteristic
658C2×C3×D4—31no—
659C2×C3×D4—31no—
660C2×C3×D4—32no—
661C2×C3×D4—32no—
662C2×C3×D4—32no—
663C2×C3×D4—31no—
664C2×C3×D4—31no—
665C2×C3×D4—31no—
666C2×C3×D4—32no—
667C2×C3×D4—32no—
668C2×C3×D4—32no—
669C22×C3×C4—21no—
670C22×C3×C4—31no—
671C22×C3×C4—31no—
672C22×C3×C4—31no—
673C22×C3×C4—32no—
674C22×C3×C4—31no—
675C22×C3×C4—32no—
676C22×C3×C4—31no—
677C22×C3×C4—31no—
678C22×C3×C4—31no—
679C22×C3×C4—32no—
680C22×C3×C4—64no—
681C22×C3×C4C22×D311yescharacteristic
682C22×C3×C4C22×D311yescharacteristic
683C2×#67—31no—
684C2×#67—31no—
685C2×#67—31no—
686C2×#67—31no—
687C2×#67—31no—
688C2×#67—31no—
689C2×#67—32no—
690C2×#67—31no—
691C2×#67—32no—
692C2×#67—31no—
693C2×#67—32no—
694C2×#67—32no—
695C2×#67—32no—
696C2×#67—32no—
697C2×#67—32no—
698C2×#67—32no—
699C2×#67—31no—
700C2×#67—31no—
701C2×#67—32no—
702C2×#67—31no—
703C2×#67—31no—
704C2×#67—32no—
705C2×#67—32no—
706C2×#67—32no—
707C2×#67—32no—
708C2×#67—32no—
709C2×#67—61no—
710C2×#67—61no—
711C2×#67—62no—
712C2×#67—64no—
713C2×#67—64no—
714C2×#67—124no—
715C2×#67C22×D311yescharacteristic
716C2×#67C22×D311yescharacteristic
717C2×#67C22×D312yes—
718C2×#67C22×D312yes—
719C22×Dic3—31no—
720C22×Dic3—31no—
721C22×Dic3—31no—
722C22×Dic3—31no—
723C22×Dic3—32no—
724C22×Dic3C22×D311yescharacteristic
725#239—24no—
726#239—24no—
727#239—64no—
728#239—64no—
729#239—64no—
730#239—124no—
731D3×Q8—64no—
732#237—64no—
733#237—64no—
734#237—64no—
735D3×D4—64no—
736D3×D4—68no—
737D3×D4—68no—
738D3×D4—64no—
739D3×D4—64no—
740D3×D4—68no—
741D3×D4—68no—
742D3×D4—64no—
743D3×D4—64no—
744D3×D4—64no—
745D3×D4—64no—
746D3×D4—124no—
747D3×D4—124no—
748D3×D4—124no—
749D3×D4—124no—
750#235—24no—
751#235—38no—
752#235—38no—
753#235—64no—
754#235—68no—
755#235—68no—
756#235—64no—
757#235—64no—
758#235—64no—
759#235—64no—
760#235—64no—
761#235—64no—
762#235—64no—
763#235—124no—
764C2×D12—31no—
765C2×D12—31no—
766C2×D12—31no—
767C2×D12—32no—
768C2×D12—31no—
769C2×D12—32no—
770C2×D12—32no—
771C2×D12—31no—
772C2×D12—31no—
773C2×D12—32no—
774C2×D12—32no—
775C2×D12—31no—
776C2×D12—31no—
777C2×D12—32no—
778C2×D12—32no—
779C2×D12—32no—
780C2×D12—32no—
781C2×D12—32no—
782C2×D12—62no—
783C2×D12—61no—
784C2×D12—61no—
785C2×D12—62no—
786C2×D12—64no—
787C2×D12—68no—
788C2×D12—68no—
789C2×D12—64no—
790C2×D12—64no—
791C2×D12—124no—
792C2×D12C22×D311yescharacteristic
793C2×D12C22×D312yes—
794C2×D12C22×D312yes—
795C2×D12C22×D312yes—
796C2×D12C22×D311yescharacteristic
797C2×D12C22×D311yescharacteristic
798C2×D12C22×D312yes—
799C2×C4×D3—24no—
800C2×C4×D3—31no—
801C2×C4×D3—31no—
802C2×C4×D3—31no—
803C2×C4×D3—31no—
804C2×C4×D3—31no—
805C2×C4×D3—31no—
806C2×C4×D3—32no—
807C2×C4×D3—32no—
808C2×C4×D3—31no—
809C2×C4×D3—31no—
810C2×C4×D3—31no—
811C2×C4×D3—31no—
812C2×C4×D3—31no—
813C2×C4×D3—31no—
814C2×C4×D3—32no—
815C2×C4×D3—32no—
816C2×C4×D3—32no—
817C2×C4×D3—61no—
818C2×C4×D3—62no—
819C2×C4×D3—61no—
820C2×C4×D3—62no—
821C2×C4×D3—64no—
822C2×C4×D3—64no—
823C2×C4×D3—64no—
824C2×C4×D3—64no—
825C2×C4×D3C22×D311yescharacteristic
826C2×C4×D3C22×D312yes—
827C2×C4×D3C22×D312yes—
828C2×C4×D3C22×D311yescharacteristic
829C2×C4×D3C22×D311yescharacteristic
830C2×C4×D3C22×D311yescharacteristic
831C2×C4×D3C22×D312yes—
832C2×C4×D3C22×D311yescharacteristic
833C2×C4×D3C22×D311yescharacteristic
834C2×Dic6—31no—
835C2×Dic6—31no—
836C2×Dic6—31no—
837C2×Dic6—31no—
838C2×Dic6—31no—
839C2×Dic6—31no—
840C2×Dic6—61no—
841C2×Dic6—64no—
842C2×Dic6C22×D311yescharacteristic
843C3×C4⋊C4—21no—
844C3×C4⋊C4—22no—
845C3×C4⋊C4—32no—
846C3×C4⋊C4—31no—
847C3×C4⋊C4—31no—
848C3×C4⋊C4—32no—
849C3×C4⋊C4—32no—
850C3×C4⋊C4C22×D311yescharacteristic
851C3×C4⋊C4C22×D311yescharacteristic
852C3×C4⋊C4C22×D312yes—
853C3×C4⋊C4C22×D312yes—
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(C2×D3)⋊C4—32no—
871(C2×D3)⋊C4—32no—
872(C2×D3)⋊C4—32no—
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—62no—
888(C2×D3)⋊C4—62no—
889(C2×D3)⋊C4—62no—
890(C2×D3)⋊C4C22×D312yes—
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—
896(C2×D3)⋊C4C22×D312yes—
897C4⋊Dic3—31no—
898C4⋊Dic3—31no—
899C4⋊Dic3—32no—
900C4⋊Dic3—61no—
901C4⋊Dic3C22×D311yescharacteristic
902C4⋊Dic3C22×D311yescharacteristic
903Dic3⋊C4—32no—
904Dic3⋊C4—32no—
905Dic3⋊C4—32no—
906Dic3⋊C4—32no—
907Dic3⋊C4—32no—
908Dic3⋊C4—62no—
909Dic3⋊C4—62no—
910Dic3⋊C4C22×D312yes—
911Dic3⋊C4C22×D312yes—
912Dic3⋊C4C22×D312yes—
913C4×Dic3—32no—
914C4×Dic3—32no—
915C4×Dic3—32no—
916C4×Dic3—32no—
917C4×Dic3C22×D312yes—
918C22×C32—21no—
919C22×C32—21no—
920C22×C32—21no—
921C22×C32C2511yescharacteristic
922C2×C3⋊D3—21no—
923C2×C3⋊D3—21no—
924C2×C3⋊D3—21no—
925C2×C3⋊D3—22no—
926C2×C3⋊D3—22no—
927C2×C3⋊D3—21no—
928C2×C3⋊D3—21no—
929C2×C3⋊D3—22no—
930C2×C3⋊D3C22×D412yes—
931C2×C3×D3—21no—
932C2×C3×D3—21no—
933C2×C3×D3—21no—
934C2×C3×D3—21no—
935C2×C3×D3—21no—
936C2×C3×D3—21no—
937C2×C3×D3—21no—
938C2×C3×D3—22no—
939C2×C3×D3—22no—
940C2×C3×D3—22no—
941C2×C3×D3—21no—
942C2×C3×D3—22no—
943C2×C3×D3—21no—
944C2×C3×D3—22no—
945C2×C3×D3—22no—
946C2×C3×D3—44no—
947C2×C3×D3C22×D412yes—
948C2×C3×D3C22×D412yes—
949C2×C3×D3H(5,𝔽2)12yescomplemented
950D32—44no—
951D32—44no—
952D32—84no—
953D32—84no—
954D32—84no—
955C32×C4—21no—
956C32×C4—22no—
957C32×C4—22no—
958C32×C4C22×D412yes—
959C3⋊Dic3—21no—
960C3⋊Dic3—22no—
961C3⋊Dic3C22×D412yes—
962C3×Dic3—21no—
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—31no—
972C2×#41—91no—
973C2×#41—91no—
974C2×#41—92no—
975C2×#41—91no—
976C2×#41—91no—
977C2×#41—91no—
978C2×#41—91no—
979C2×#41—91no—
980C2×#41—91no—
981C2×#41—188no—
982C22×Q8—91no—
983C22×D4—91no—
984C22×D4—91no—
985C22×D4—91no—
986C22×D4—92no—
987C22×D4—92no—
988C22×D4—92no—
989C22×D4—91no—
990C22×D4—92no—
991C22×D4—92no—
992C22×D4—91no—
993C22×D4—91no—
994C22×D4—92no—
995C23×C4—31no—
996C23×C4—91no—
997C23×C4—91no—
998#127—92no—
999#127—92no—
1000#127—92no—
1001#124—92no—
1002#124—92no—
1003#124—92no—
1004#123—32no—
1005#123—92no—
1006#123—92no—
1007C22⋊Q8—31no—
1008C22⋊Q8—31no—
1009C22⋊Q8—32no—
1010C22⋊Q8—92no—
1011C22⋊Q8—91no—
1012C22⋊Q8—92no—
1013C22⋊Q8D3211yescharacteristic, complemented
1014#121—31no—
1015#121—31no—
1016#121—31no—
1017#121—31no—
1018#121—32no—
1019#121—32no—
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—91no—
1030#121—92no—
1031#121—91no—
1032#121—92no—
1033#121—91no—
1034#121—91no—
1035#121—92no—
1036#121—91no—
1037#121—91no—
1038#121—92no—
1039#121—92no—
1040#121—92no—
1041#120—32no—
1042#120—92no—
1043#120—92no—
1044#120—92no—
1045#120—92no—
1046#120—92no—
1047#120—92no—
1048#120—92no—
1049#120—92no—
1050C4×Q8—92no—
1051C4×D4—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—91no—
1062#117—91no—
1063C2×C4⋊C4—31no—
1064C2×C4⋊C4—91no—
1065C2×C4⋊C4—91no—
1066C2×C22⋊C4—92no—
1067C2×C22⋊C4—92no—
1068C2×C22⋊C4—92no—
1069C23×C3—21no—
1070C23×C3—31no—
1071C23×C3—31no—
1072C23×C3—31no—
1073C23×C3—32no—
1074C23×C3—32no—
1075C23×C3—31no—
1076C23×C3—62no—
1077C23×C3—62no—
1078C23×C3—121no—
1079C23×C3C23×D311yescharacteristic
1080C23×C3C23×D311yescharacteristic
1081C22×D3—22no—
1082C22×D3—22no—
1083C22×D3—31no—
1084C22×D3—31no—
1085C22×D3—32no—
1086C22×D3—32no—
1087C22×D3—31no—
1088C22×D3—31no—
1089C22×D3—41no—
1090C22×D3—61no—
1091C22×D3—62no—
1092C22×D3—61no—
1093C22×D3—62no—
1094C22×D3—62no—
1095C22×D3—64no—
1096C22×D3—64no—
1097C22×D3—62no—
1098C22×D3—62no—
1099C22×D3—62no—
1100C22×D3—64no—
1101C22×D3—64no—
1102C22×D3—62no—
1103C22×D3—62no—
1104C22×D3—62no—
1105C22×D3—64no—
1106C22×D3—64no—
1107C22×D3—121no—
1108C22×D3—121no—
1109C22×D3—121no—
1110C22×D3—121no—
1111C22×D3—122no—
1112C22×D3—122no—
1113C22×D3—122no—
1114C22×D3—122no—
1115C22×D3—122no—
1116C22×D3—122no—
1117C22×D3—122no—
1118C22×D3—122no—
1119C22×D3—122no—
1120C22×D3—122no—
1121C22×D3—122no—
1122C22×D3—122no—
1123C22×D3C23×D312yes—
1124C22×D3C23×D312yes—
1125C22×D3C23×D311yescharacteristic
1126C22×D3C23×D311yescharacteristic
1127C22×D3C23×D311yescharacteristic
1128C22×D3C23×D311yescharacteristic
1129C3×Q8—22no—
1130C3×Q8—22no—
1131C3×Q8—42no—
1132C3×Q8—62no—
1133C3×D4—64no—
1134C3×D4—64no—
1135C3×D4—62no—
1136C3×D4—64no—
1137C3×D4—62no—
1138C3×D4—62no—
1139C3×D4—62no—
1140C3×D4—62no—
1141C3×D4—122no—
1142C3×D4—122no—
1143C3×D4—122no—
1144C2×C3×C4—22no—
1145C2×C3×C4—22no—
1146C2×C3×C4—21no—
1147C2×C3×C4—22no—
1148C2×C3×C4—22no—
1149C2×C3×C4—21no—
1150C2×C3×C4—31no—
1151C2×C3×C4—31no—
1152C2×C3×C4—34no—
1153C2×C3×C4—34no—
1154C2×C3×C4—32no—
1155C2×C3×C4—32no—
1156C2×C3×C4—31no—
1157C2×C3×C4—31no—
1158C2×C3×C4—42no—
1159C2×C3×C4—62no—
1160C2×C3×C4—64no—
1161C2×C3×C4—64no—
1162C2×C3×C4—62no—
1163C2×C3×C4—62no—
1164C2×C3×C4—62no—
1165C2×C3×C4—62no—
1166C2×C3×C4—122no—
1167C2×C3×C4C23×D312yes—
1168C2×C3×C4C23×D312yes—
1169C2×C3×C4C23×D312yes—
1170C2×C3×C4C23×D312yes—
1171C2×C3×C4C23×D311yescharacteristic
1172C2×C3×C4C23×D311yescharacteristic
1173C2×C3×C4C23×D311yescharacteristic
1174C2×C3×C4C23×D311yescharacteristic
1175#67—22no—
1176#67—22no—
1177#67—34no—
1178#67—34no—
1179#67—34no—
1180#67—34no—
1181#67—42no—
1182#67—42no—
1183#67—62no—
1184#67—64no—
1185#67—64no—
1186#67—64no—
1187#67—62no—
1188#67—62no—
1189#67—62no—
1190#67—64no—
1191#67—62no—
1192#67—62no—
1193#67—62no—
1194#67—64no—
1195#67—64no—
1196#67—64no—
1197#67—62no—
1198#67—122no—
1199#67—122no—
1200#67—122no—
1201#67—122no—
1202#67—122no—
1203#67—122no—
1204#67—122no—
1205#67—122no—
1206#67—122no—
1207#67—242no—
1208C2×Dic3—22no—
1209C2×Dic3—31no—
1210C2×Dic3—31no—
1211C2×Dic3—32no—
1212C2×Dic3—32no—
1213C2×Dic3—31no—
1214C2×Dic3—31no—
1215C2×Dic3—61no—
1216C2×Dic3—62no—
1217C2×Dic3—61no—
1218C2×Dic3—62no—
1219C2×Dic3—62no—
1220C2×Dic3—62no—
1221C2×Dic3—62no—
1222C2×Dic3—122no—
1223C2×Dic3C23×D312yes—
1224C2×Dic3C23×D312yes—
1225C2×Dic3C23×D311yescharacteristic
1226C2×Dic3C23×D311yescharacteristic
1227C2×Dic3C23×D311yescharacteristic
1228C2×Dic3C23×D311yescharacteristic
1229D12—22no—
1230D12—24no—
1231D12—24no—
1232D12—24no—
1233D12—22no—
1234D12—22no—
1235D12—34no—
1236D12—34no—
1237D12—42no—
1238D12—62no—
1239D12—64no—
1240D12—64no—
1241D12—62no—
1242D12—64no—
1243D12—64no—
1244D12—62no—
1245D12—62no—
1246D12—64no—
1247D12—62no—
1248D12—62no—
1249D12—122no—
1250D12—122no—
1251D12—124no—
1252D12—122no—
1253D12—122no—
1254D12—122no—
1255D12—122no—
1256D12—122no—
1257D12—242no—
1258C4×D3—22no—
1259C4×D3—22no—
1260C4×D3—22no—
1261C4×D3—22no—
1262C4×D3—24no—
1263C4×D3—24no—
1264C4×D3—34no—
1265C4×D3—34no—
1266C4×D3—42no—
1267C4×D3—64no—
1268C4×D3—62no—
1269C4×D3—62no—
1270C4×D3—62no—
1271C4×D3—64no—
1272C4×D3—64no—
1273C4×D3—62no—
1274C4×D3—62no—
1275C4×D3—62no—
1276C4×D3—62no—
1277C4×D3—62no—
1278C4×D3—62no—
1279C4×D3—62no—
1280C4×D3—124no—
1281C4×D3—122no—
1282C4×D3—122no—
1283C4×D3—122no—
1284C4×D3—122no—
1285C4×D3—242no—
1286C4×D3D3×D414yescomplemented
1287C4×D3D3×D414yescomplemented
1288Dic6—22no—
1289Dic6—34no—
1290Dic6—34no—
1291Dic6—62no—
1292Dic6—62no—
1293Dic6—62no—
1294Dic6—62no—
1295Dic6—122no—
1296C2×C32—41no—
1297C2×C32C23×D411yescharacteristic
1298C2×C32C2×H(5,𝔽2)11yescharacteristic
1299C2×C32#58511yescharacteristic
1300C3⋊D3—22no—
1301C3⋊D3—41no—
1302C3⋊D3—42no—
1303C3×D3—22no—
1304C3×D3—22no—
1305C3×D3—22no—
1306C3×D3—41no—
1307C3×D3—42no—
1308C3×D3—42no—
1309C24—31no—
1310C24—91no—
1311C24—91no—
1312C24—92no—
1313C24—92no—
1314C24—92no—
1315#41—64no—
1316#41—64no—
1317#41—64no—
1318#41—98no—
1319#41—184no—
1320#41—184no—
1321#41—188no—
1322#41—184no—
1323#41—184no—
1324#41—184no—
1325#41—184no—
1326#41—184no—
1327C2×Q8—31no—
1328C2×Q8—91no—
1329C2×Q8—91no—
1330C2×Q8—91no—
1331C2×Q8—184no—
1332C2×Q8C2×D3211yescharacteristic
1333C2×D4—31no—
1334C2×D4—31no—
1335C2×D4—32no—
1336C2×D4—32no—
1337C2×D4—32no—
1338C2×D4—32no—
1339C2×D4—31no—
1340C2×D4—32no—
1341C2×D4—31no—
1342C2×D4—31no—
1343C2×D4—32no—
1344C2×D4—91no—
1345C2×D4—91no—
1346C2×D4—92no—
1347C2×D4—91no—
1348C2×D4—92no—
1349C2×D4—92no—
1350C2×D4—91no—
1351C2×D4—92no—
1352C2×D4—92no—
1353C2×D4—92no—
1354C2×D4—91no—
1355C2×D4—92no—
1356C2×D4—91no—
1357C2×D4—92no—
1358C2×D4—91no—
1359C2×D4—91no—
1360C2×D4—92no—
1361C2×D4—92no—
1362C2×D4—91no—
1363C2×D4—92no—
1364C2×D4—91no—
1365C2×D4—92no—
1366C2×D4—184no—
1367C2×D4—184no—
1368C2×D4—184no—
1369C2×D4—188no—
1370C2×D4—188no—
1371C2×D4—184no—
1372C2×D4—188no—
1373C2×D4—184no—
1374C2×D4—184no—
1375C2×D4—364no—
1376C2×D4—364no—
1377C2×D4—364no—
1378C22×C4—31no—
1379C22×C4—31no—
1380C22×C4—31no—
1381C22×C4—31no—
1382C22×C4—31no—
1383C22×C4—32no—
1384C22×C4—32no—
1385C22×C4—31no—
1386C22×C4—31no—
1387C22×C4—32no—
1388C22×C4—64no—
1389C22×C4—91no—
1390C22×C4—91no—
1391C22×C4—91no—
1392C22×C4—91no—
1393C22×C4—91no—
1394C22×C4—91no—
1395C22×C4—92no—
1396C22×C4—91no—
1397C22×C4—92no—
1398C22×C4—91no—
1399C22×C4—92no—
1400C22×C4—184no—
1401C22×C4—184no—
1402C22×C4C2×D3211yescharacteristic
1403C4⋊C4—31no—
1404C4⋊C4—32no—
1405C4⋊C4—31no—
1406C4⋊C4—32no—
1407C4⋊C4—32no—
1408C4⋊C4—92no—
1409C4⋊C4—91no—
1410C4⋊C4—92no—
1411C4⋊C4—92no—
1412C4⋊C4C2×D3211yescharacteristic
1413C4⋊C4C2×D3212yes—
1414C22⋊C4—32no—
1415C22⋊C4—32no—
1416C22⋊C4—32no—
1417C22⋊C4—32no—
1418C22⋊C4—32no—
1419C22⋊C4—32no—
1420C22⋊C4—32no—
1421C22⋊C4—92no—
1422C22⋊C4—92no—
1423C22⋊C4—92no—
1424C22⋊C4—92no—
1425C22⋊C4—92no—
1426C22⋊C4—92no—
1427C22⋊C4—92no—
1428C22⋊C4—92no—
1429C22⋊C4—92no—
1430C22⋊C4—92no—
1431C22⋊C4—92no—
1432C22⋊C4C2×D3212yes—
1433C42—32no—
1434C42—92no—
1435C42—92no—
1436C22×C3—21no—
1437C22×C3—21no—
1438C22×C3—21no—
1439C22×C3—21no—
1440C22×C3—21no—
1441C22×C3—21no—
1442C22×C3—21no—
1443C22×C3—32no—
1444C22×C3—32no—
1445C22×C3—32no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—61no—
1450C22×C3—61no—
1451C22×C3—61no—
1452C22×C3—61no—
1453C22×C3—61no—
1454C22×C3—61no—
1455C22×C3—61no—
1456C22×C3—62no—
1457C22×C3—62no—
1458C22×C3—62no—
1459C22×C3—61no—
1460C22×C3—61no—
1461C22×C3—62no—
1462C22×C3—62no—
1463C22×C3—62no—
1464C22×C3—124no—
1465C22×C3C24×D311yescharacteristic
1466C22×C3C24×D311yescharacteristic
1467C2×D3—21no—
1468C2×D3—21no—
1469C2×D3—21no—
1470C2×D3—21no—
1471C2×D3—21no—
1472C2×D3—21no—
1473C2×D3—21no—
1474C2×D3—22no—
1475C2×D3—22no—
1476C2×D3—22no—
1477C2×D3—22no—
1478C2×D3—21no—
1479C2×D3—22no—
1480C2×D3—21no—
1481C2×D3—22no—
1482C2×D3—32no—
1483C2×D3—32no—
1484C2×D3—44no—
1485C2×D3—62no—
1486C2×D3—61no—
1487C2×D3—61no—
1488C2×D3—61no—
1489C2×D3—61no—
1490C2×D3—61no—
1491C2×D3—61no—
1492C2×D3—62no—
1493C2×D3—62no—
1494C2×D3—62no—
1495C2×D3—61no—
1496C2×D3—61no—
1497C2×D3—62no—
1498C2×D3—61no—
1499C2×D3—62no—
1500C2×D3—61no—
1501C2×D3—62no—
1502C2×D3—121no—
1503C2×D3—121no—
1504C2×D3—122no—
1505C2×D3—121no—
1506C2×D3—121no—
1507C2×D3—122no—
1508C2×D3—121no—
1509C2×D3—122no—
1510C2×D3—124no—
1511C2×D3—124no—
1512C2×D3—124no—
1513C2×D3—124no—
1514C2×D3—244no—
1515C2×D3—244no—
1516C2×D3—244no—
1517C2×D3—244no—
1518C2×D3—244no—
1519C2×D3—244no—
1520C2×D3C2×D3×D412yes—
1521C2×D3C2×D3×D412yes—
1522C2×D3#100912yescomplemented
1523C3×C4—21no—
1524C3×C4—21no—
1525C3×C4—22no—
1526C3×C4—22no—
1527C3×C4—22no—
1528C3×C4—22no—
1529C3×C4—22no—
1530C3×C4—32no—
1531C3×C4—32no—
1532C3×C4—41no—
1533C3×C4—42no—
1534C3×C4—42no—
1535C3×C4—61no—
1536C3×C4—61no—
1537C3×C4—62no—
1538C3×C4—62no—
1539C3×C4C2×D3×D412yes—
1540C3×C4C2×D3×D412yes—
1541Dic3—21no—
1542Dic3—21no—
1543Dic3—22no—
1544Dic3—22no—
1545Dic3—32no—
1546Dic3—32no—
1547Dic3—62no—
1548Dic3—61no—
1549Dic3—61no—
1550Dic3—62no—
1551Dic3—62no—
1552Dic3—121no—
1553Dic3—122no—
1554Dic3C2×D3×D412yes—
1555Dic3C2×D3×D412yes—
1556C32#348811yescharacteristic, complemented, Sylow
1557C23—31no—
1558C23—31no—
1559C23—31no—
1560C23—32no—
1561C23—32no—
1562C23—31no—
1563C23—62no—
1564C23—62no—
1565C23—91no—
1566C23—92no—
1567C23—91no—
1568C23—121no—
1569C23—182no—
1570C23—182no—
1571C23—182no—
1572C23—184no—
1573C23—184no—
1574C23—182no—
1575C23—184no—
1576C23—361no—
1577C23—361no—
1578C23—362no—
1579C23—362no—
1580C23—362no—
1581C23—362no—
1582C23—362no—
1583C23—362no—
1584C23C22×D3211yescharacteristic
1585Q8—22no—
1586Q8—62no—
1587Q8—94no—
1588Q8—182no—
1589Q8—182no—
1590D4—64no—
1591D4—64no—
1592D4—62no—
1593D4—64no—
1594D4—62no—
1595D4—62no—
1596D4—62no—
1597D4—62no—
1598D4—94no—
1599D4—94no—
1600D4—94no—
1601D4—122no—
1602D4—122no—
1603D4—122no—
1604D4—184no—
1605D4—182no—
1606D4—184no—
1607D4—184no—
1608D4—182no—
1609D4—182no—
1610D4—184no—
1611D4—182no—
1612D4—184no—
1613D4—182no—
1614D4—182no—
1615D4—184no—
1616D4—182no—
1617D4—362no—
1618D4—362no—
1619D4—362no—
1620D4—362no—
1621D4—362no—
1622D4—362no—
1623C2×C4—22no—
1624C2×C4—31no—
1625C2×C4—31no—
1626C2×C4—34no—
1627C2×C4—34no—
1628C2×C4—32no—
1629C2×C4—32no—
1630C2×C4—31no—
1631C2×C4—31no—
1632C2×C4—62no—
1633C2×C4—64no—
1634C2×C4—64no—
1635C2×C4—62no—
1636C2×C4—62no—
1637C2×C4—62no—
1638C2×C4—62no—
1639C2×C4—91no—
1640C2×C4—94no—
1641C2×C4—92no—
1642C2×C4—91no—
1643C2×C4—122no—
1644C2×C4—184no—
1645C2×C4—182no—
1646C2×C4—182no—
1647C2×C4—182no—
1648C2×C4—182no—
1649C2×C4—182no—
1650C2×C4—182no—
1651C2×C4—182no—
1652C2×C4—362no—
1653C2×C4—362no—
1654C2×C4C22×D3212yes—
1655C2×C4C22×D3211yescharacteristic
1656C2×C4C22×D3212yes—
1657C2×C4C22×D3211yescharacteristic
1658C2×C3—21no—
1659C2×C3—21no—
1660C2×C3—21no—
1661C2×C3—41no—
1662C2×C3—41no—
1663C2×C3—62no—
1664C2×C3—62no—
1665C2×C3—62no—
1666C2×C3—81no—
1667C2×C3—121no—
1668C2×C3—122no—
1669C2×C3—122no—
1670C2×C3C22×D3×D411yescharacteristic
1671C2×C3C22×D3×D411yescharacteristic
1672C2×C3C2×#100911yescharacteristic
1673C2×C3#596411yescharacteristic
1674C2×C3D3×H(5,𝔽2)11yescharacteristic
1675C2×C3#596811yescharacteristic
1676D3—22no—
1677D3—22no—
1678D3—22no—
1679D3—42no—
1680D3—41no—
1681D3—42no—
1682D3—62no—
1683D3—62no—
1684D3—122no—
1685D3—121no—
1686D3—122no—
1687D3—121no—
1688D3—122no—
1689D3—241no—
1690D3—242no—
1691C22—21no—
1692C22—21no—
1693C22—21no—
1694C22—32no—
1695C22—32no—
1696C22—32no—
1697C22—61no—
1698C22—61no—
1699C22—61no—
1700C22—61no—
1701C22—61no—
1702C22—61no—
1703C22—61no—
1704C22—62no—
1705C22—62no—
1706C22—62no—
1707C22—61no—
1708C22—62no—
1709C22—62no—
1710C22—62no—
1711C22—61no—
1712C22—92no—
1713C22—124no—
1714C22—181no—
1715C22—181no—
1716C22—181no—
1717C22—182no—
1718C22—181no—
1719C22—182no—
1720C22—182no—
1721C22—181no—
1722C22—364no—
1723C22—364no—
1724C22—724no—
1725C22—724no—
1726C22—724no—
1727C22C23×D3211yescharacteristic
1728C4—21no—
1729C4—22no—
1730C4—22no—
1731C4—32no—
1732C4—32no—
1733C4—61no—
1734C4—61no—
1735C4—62no—
1736C4—62no—
1737C4—92no—
1738C4—181no—
1739C4—182no—
1740C4D32×D412yes—
1741C3—21no—
1742C3#8604111yescharacteristic, complemented
1743C3#8637911yescharacteristic, complemented
1744C2—41no—
1745C2—62no—
1746C2—62no—
1747C2—62no—
1748C2—121no—
1749C2—122no—
1750C2—122no—
1751C2—182no—
1752C2—361no—
1753C2—362no—
1754C2C2×D32×D411yescharacteristic
1755C2#1059668811yescharacteristic
1756C2D3×#100911yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C22⋊Q8C22
hypercenterC22⋊Q8D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×#64320C2semidirect
2. C2×D3×#235C2semidirect
3. #10596100C2semidirect
4. C3×#5629C2semidirect
5. C3×#5627C2semidirect
6. #10595430C2semidirect
7. #10595424C2semidirect
8. #10595398C2semidirect
9. #10595082C2semidirect
10. #10595064C2semidirect
11. D3×#930C2semidirect
12. #10594628C2semidirect
13. #10594621C2semidirect
14. #10594620C2semidirect
15. #10594617C2semidirect
16. #10594612C2semidirect
17. D3×#895C2semidirect
18. #10594510C2semidirect
19. #10594375C2semidirect
20. #10594283C2semidirect
21. #10594275C2semidirect
22. #10594275C2semidirect
23. #10594246C2semidirect
26. C2×#3832C22semidirect
27. C2×#3828C22semidirect
28. C2×C3×#239C22semidirect
29. C2×C3×#239C22semidirect
30. C2×C3×#235C22semidirect
31. C22×C3×C4×D3C22semidirect
32. C2×D3×#67C22semidirect
33. C2×D3×#67C22semidirect
34. C2×D3×#67C22semidirect
35. C2×#3804C22semidirect
36. C2×#3804C22semidirect
39. C2×#3802C22semidirect
40. C2×#3802C22semidirect
41. C2×#3802C22semidirect
42. C2×D3×D12C22semidirect
43. C2×D3×D12C22semidirect
44. C2×D3×D12C22semidirect
45. C2×D3×D12C22semidirect
46. C2×D3×D12C22semidirect
47. C2×D3×D12C22semidirect
48. C2×C4×D32C22semidirect
49. C2×C4×D32C22semidirect
50. C2×#3799C22semidirect
52. C2×#3798C22semidirect
53. C2×#3798C22semidirect
54. C2×#3795C22semidirect
55. C2×D3×Dic6C22semidirect
56. C32×C22⋊Q8C22semidirect
57. #64155C22semidirect
58. #64139C22semidirect
59. #64105C22semidirect
60. #64104C22semidirect
61. #64104C22semidirect
62. C4⋊C4×C3⋊D3C22semidirect
63. #64093C22semidirect
64. #64093C22semidirect
65. C3×#946C22semidirect
66. C3×#946C22semidirect
67. C3×#930C22semidirect
68. C3×#930C22semidirect
69. C3×#896C22semidirect
70. C3×#895C22semidirect
71. C3×#895C22semidirect
72. C3×#895C22semidirect
73. C3×#894C22semidirect
74. C3×#893C22semidirect
75. C3×#892C22semidirect
76. C3×D3×C4⋊C4C22semidirect
77. C3×#884C22semidirect
78. C3×#884C22semidirect
79. C3×#882C22semidirect
80. C3×#67⋊C4C22semidirect
81. #63983C22semidirect
82. #63983C22semidirect
83. #63979C22semidirect
84. #63979C22semidirect
85. #63978C22semidirect
86. #63923C22semidirect
87. #63923C22semidirect
88. #63923C22semidirect
89. #63922C22semidirect
90. #63922C22semidirect
91. #63922C22semidirect
92. #63921C22semidirect
93. D3×(C2×D3)⋊C4C22semidirect
94. D3×(C2×D3)⋊C4C22semidirect
95. #63916C22semidirect
96. #63916C22semidirect
97. #63913C22semidirect
98. #63911C22semidirect
99. #63910C22semidirect
100. #63909C22semidirect
101. #63909C22semidirect
102. #63908C22semidirect
103. #63908C22semidirect
104. #63907C22semidirect
105. #63906C22semidirect
106. #63906C22semidirect
107. #63904C22semidirect
108. C4×#626C22semidirect
109. #63897C22semidirect
110. D3×C4⋊Dic3C22semidirect
111. #63886C22semidirect
112. #63886C22semidirect
113. #63885C22semidirect
114. #63885C22semidirect
115. #63885C22semidirect
116. #63884C22semidirect
117. #63881C22semidirect
118. #63881C22semidirect
119. #63881C22semidirect
120. #63879C22semidirect
121. #63879C22semidirect
122. #63852C22semidirect
123. #63851C22semidirect
124. #63849C22semidirect
125. #63841C22semidirect
126. #63837C22semidirect
145. #5629D3semidirect
149. #5627D3semidirect
265. #3798D4semidirect
316. C2×#239C2×D3semidirect
317. C2×#239C2×D3semidirect
351. C2×#235C2×D3semidirect
362. C22×C4×D3C2×D3semidirect
369. C3×C22⋊Q8C2×D3semidirect
370. C3×C22⋊Q8C2×D3semidirect
387. #946C2×D3semidirect
388. #946C2×D3semidirect
422. #930C2×D3semidirect
423. #930C2×D3semidirect
437. #896C2×D3semidirect
451. #895C2×D3semidirect
452. #895C2×D3semidirect
453. #895C2×D3semidirect
457. #894C2×D3semidirect
462. #893C2×D3semidirect
466. #892C2×D3semidirect
471. D3×C4⋊C4C2×D3semidirect
489. #884C2×D3semidirect
490. #884C2×D3semidirect
500. #882C2×D3semidirect
506. #67⋊C4C2×D3semidirect
562. C4×C3⋊D3C2×D4semidirect
589. C3×C4×D3C2×D4semidirect
590. C3×C4×D3C2×D4semidirect
593. #627C2×D4semidirect
602. #626C2×D4semidirect
603. #626C2×D4semidirect
608. #625C2×D4semidirect
949. C2×C3×D3H(5,𝔽2)semidirect
1013. C22⋊Q8D32semidirect
1286. C4×D3D3×D4semidirect
1287. C4×D3D3×D4semidirect
1522. C2×D3#1009semidirect
1556. C32#3488semidirect
1742. C3#86041semidirect
1743. C3#86379semidirect

Maximal subgroups

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

subgroupindex
C2×#643202
C2×D3×#2352
#105961002
C3×#56292
C3×#56272
#105954302
#105954242
#105953982
#105950822
#105950642
D3×#9302
#105946282
#105946212
#105946202
#105946172
#105946122
D3×#8952
#105945102
#105943752
#105942832
#105942752
#105942462
#863793
#860413