Finite Group Databasebeta

← #11910023

Subgroups — #11910023

Order 1152.

2178 conjugacy classes of subgroups.

The subgroup lattice has 2038 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596003C211yesmaximal, characteristic, complemented
2C3×#5531C211yesmaximal, characteristic, complemented
3C3×#5528C211yesmaximal, characteristic, complemented
4#10595028C211yesmaximal, characteristic, complemented
5#10595027C211yesmaximal, characteristic, complemented
6#10594957C211yesmaximal, characteristic, complemented
7#10594874C211yesmaximal, characteristic, complemented
8#10594521C211yesmaximal, characteristic, complemented
9#10594487C211yesmaximal, characteristic, complemented
10#10594468C211yesmaximal, characteristic, complemented
11#10594467C211yesmaximal, characteristic, complemented
12#10594465C211yesmaximal, characteristic, complemented
13#10594442C211yesmaximal, characteristic, complemented
14#10594334C211yesmaximal, characteristic, complemented
15#10594315C211yesmaximal, characteristic, complemented
16#10594246C211yesmaximal, characteristic, complemented
17#10594161C211yesmaximal, characteristic, complemented
18#10594143C211yesmaximal, characteristic, complemented
19#10594106C211yesmaximal, characteristic, complemented
20#10594104C211yesmaximal, characteristic, complemented
21#10594089C211yesmaximal, characteristic, complemented
22#10594075C211yesmaximal, characteristic, complemented
23#10594038C211yesmaximal, characteristic, complemented
24#10593978C211yesmaximal, characteristic, complemented
25#10593977C211yesmaximal, characteristic, complemented
26#10593976C211yesmaximal, characteristic, complemented
27#10593965C211yesmaximal, characteristic, complemented
28#10593936C211yesmaximal, characteristic, complemented
29#10593924C211yesmaximal, characteristic, complemented
30#10593918C211yesmaximal, characteristic, complemented
31#10593848C211yesmaximal, characteristic, complemented
32#86843—31nomaximal
33#86131—31nomaximal
34C2×#3804C2211yescharacteristic
35C2×#3798C2211yescharacteristic
36C2×#3797C2211yescharacteristic
37C32×#117C2211yescharacteristic
38#64139C2211yescharacteristic
39C4×#638C2211yescharacteristic
40#64104C2211yescharacteristic
41#64102C2211yescharacteristic
42#64101C2211yescharacteristic
43#64097C2211yescharacteristic
44#64094C2211yescharacteristic
45#64094C2211yescharacteristic
46#64093C2211yescharacteristic
47#64093C2211yescharacteristic
48#64084C2211yescharacteristic
49#64084C2211yescharacteristic
50#64081C2211yescharacteristic
51#64081C2211yescharacteristic
52C3×#929C2211yescharacteristic
53C3×C4×#67C2211yescharacteristic
54C3×C4×#67C2211yescharacteristic
55C2×C3×Dic3⋊C4C2211yescharacteristic
56C3×#898C2211yescharacteristic
57C3×#898C2211yescharacteristic
58C3×#896C2211yescharacteristic
59C3×#896C2211yescharacteristic
60C3×#894C2211yescharacteristic
61C3×#889C2211yescharacteristic
62C3×#889C2211yescharacteristic
63C3×#889C2211yescharacteristic
64C3×#886C2211yescharacteristic
65C3×#885C2211yescharacteristic
66C3×#884C2211yescharacteristic
67C3×#883C2211yescharacteristic
68C3×#67⋊C4C2211yescharacteristic
69C3×#879C2211yescharacteristic
70C3×#878C2211yescharacteristic
71C3×#877C2211yescharacteristic
72C3×#876C2211yescharacteristic
73C3×C4×D12C2211yescharacteristic
74C3×#872C2211yescharacteristic
75C3×#872C2211yescharacteristic
76C3×C42×D3C2211yescharacteristic
77C3×#870C2211yescharacteristic
78C3×C4×Dic6C2211yescharacteristic
79C3×C4×Dic6C2211yescharacteristic
80#63979C2211yescharacteristic
81#63979C2211yescharacteristic
82#63978C2211yescharacteristic
83#63978C2211yescharacteristic
84#63975C2211yescharacteristic
85Dic3×#67C2211yescharacteristic
86#63971C2211yescharacteristic
87#63969C2211yescharacteristic
88#63959C2211yescharacteristic
89#63958C2211yescharacteristic
90#63955C2211yescharacteristic
91#63953C2211yescharacteristic
92#63952C2211yescharacteristic
93#63952C2211yescharacteristic
94#63952C2211yescharacteristic
95#63915C2211yescharacteristic
96#63913C2211yescharacteristic
97#63912C2211yescharacteristic
98#63911C2211yescharacteristic
99#63910C2211yescharacteristic
100#63910C2211yescharacteristic
101#63910C2211yescharacteristic
102#63910C2211yescharacteristic
103#63910C2211yescharacteristic
104#63910C2211yescharacteristic
105#63909C2211yescharacteristic
106#63907C2211yescharacteristic
107#63907C2211yescharacteristic
108#63907C2211yescharacteristic
109#63906C2211yescharacteristic
110#63906C2211yescharacteristic
111#63904C2211yescharacteristic
112#63904C2211yescharacteristic
113#63904C2211yescharacteristic
114#63904C2211yescharacteristic
115#63904C2211yescharacteristic
116#63904C2211yescharacteristic
117#63902C2211yescharacteristic
118#63899C2211yescharacteristic
119#63897C2211yescharacteristic
120#63897C2211yescharacteristic
121#63896C2211yescharacteristic
122#63895C2211yescharacteristic
123#63894C2211yescharacteristic
124#63894C2211yescharacteristic
125#63891C2211yescharacteristic
126#63890C2211yescharacteristic
127#63890C2211yescharacteristic
128#63890C2211yescharacteristic
129#63888C2211yescharacteristic
130#63886C2211yescharacteristic
131#63885C2211yescharacteristic
132#63883C2211yescharacteristic
133C4×#624C2211yescharacteristic
134#63881C2211yescharacteristic
135#63881C2211yescharacteristic
136#63881C2211yescharacteristic
137#63881C2211yescharacteristic
138#63880C2211yescharacteristic
139#63880C2211yescharacteristic
140#63879C2211yescharacteristic
141#63879C2211yescharacteristic
142#63878C2211yescharacteristic
143#63878C2211yescharacteristic
144D3×Dic3⋊C4C2211yescharacteristic
145C4×D3×Dic3C2211yescharacteristic
146#63870C2211yescharacteristic
147#63868C2211yescharacteristic
148#63868C2211yescharacteristic
149#63868C2211yescharacteristic
150#63865C2211yescharacteristic
151#63862C2211yescharacteristic
152#63861C2211yescharacteristic
153#63860C2211yescharacteristic
154#63857C2211yescharacteristic
155#63855C2211yescharacteristic
156#63854C2211yescharacteristic
157#63854C2211yescharacteristic
158#63853C2211yescharacteristic
159#63852C2211yescharacteristic
160#63852C2211yescharacteristic
161#63850C2211yescharacteristic
162#63850C2211yescharacteristic
163#63850C2211yescharacteristic
164#63849C2211yescharacteristic
165#63848C2211yescharacteristic
166#63847C2211yescharacteristic
167#63847C2211yescharacteristic
168#63845C2211yescharacteristic
169#63845C2211yescharacteristic
170#63844C2211yescharacteristic
171#63844C2211yescharacteristic
172#63843C2211yescharacteristic
173#63843C2211yescharacteristic
174#63840C2211yescharacteristic
175#63840C2211yescharacteristic
176#63838C2211yescharacteristic
177#63838C2211yescharacteristic
178#63837C2211yescharacteristic
179#63837C2211yescharacteristic
180#63837C2211yescharacteristic
181#63837C2211yescharacteristic
182#63837C2211yescharacteristic
183#63836C2211yescharacteristic
184#63836C2211yescharacteristic
185#63836C2211yescharacteristic
186#63836C2211yescharacteristic
187#63836C2211yescharacteristic
188#63836C2211yescharacteristic
189C3×#552—31no—
190C3×#529—31no—
191#5710—31no—
192#5710—31no—
193#5709—31no—
194#5709—31no—
195#5706—31no—
196#5706—31no—
197#5706—31no—
198#5706—31no—
199#5697—31no—
200#5695—31no—
201#5693—31no—
202#5693—31no—
203#5691—31no—
204#5691—31no—
205#5685—31no—
206#5685—31no—
207#5681—31no—
208#5677—31no—
209#5664—31no—
210#5664—31no—
211#5663—31no—
212#5663—31no—
213#5663—31no—
214#5663—31no—
215#5662—31no—
216#5662—31no—
217#5643—31no—
218#5639—31no—
219#5633—31no—
220#5633—31no—
221#5633—31no—
222#5624—31no—
223#5616—31no—
224#5599—31no—
225#5585—31no—
226#5582—31no—
227#5572—31no—
228#5572—31no—
229#5562—31no—
230#5559—31no—
231#5559—31no—
232#5553—31no—
233#5546—31no—
234#5540—31no—
235#5540—31no—
236#5538—31no—
237#5532—31no—
238#5532—31no—
239#5532—31no—
240#5532—31no—
241#5532—31no—
242#5532—61no—
243#5531—31no—
244#5531D311yescharacteristic, complemented
245#5528—31no—
246#5528D311yescharacteristic, complemented
247#5522—31no—
248#5514—31no—
249#5504—31no—
250#5479—31no—
251C4×#235—31no—
252C22×C32×C4C2311yescharacteristic
253C2×#638C2311yescharacteristic
254C2×#638C2311yescharacteristic
255C2×#638C2311yescharacteristic
256C2×C4⋊(C3⋊D3)C2311yescharacteristic
257C2×C4⋊(C3⋊D3)C2311yescharacteristic
258C2×C4⋊(C3⋊D3)C2311yescharacteristic
259C2×C4×C3⋊D3C2311yescharacteristic
260C2×C4×C3⋊D3C2311yescharacteristic
261C2×C4×C3⋊D3C2311yescharacteristic
262C2×#634C2311yescharacteristic
263C2×#634C2311yescharacteristic
264C2×C3×#67C2311yescharacteristic
265C2×C3×#67C2311yescharacteristic
266C2×C3×#67C2311yescharacteristic
267C22×C3×Dic3C2311yescharacteristic
268C22×C3×Dic3C2311yescharacteristic
269C2×C3×D12C2311yescharacteristic
270C2×C3×C4×D3C2311yescharacteristic
271C2×C3×C4×D3C2311yescharacteristic
272C2×C3×C4×D3C2311yescharacteristic
273C2×C3×C4×D3C2311yescharacteristic
274C2×C3×C4×D3C2311yescharacteristic
275C2×C3×Dic6C2311yescharacteristic
276C2×C3×Dic6C2311yescharacteristic
277C2×#627C2311yescharacteristic
278C2×#627C2311yescharacteristic
279C2×#627C2311yescharacteristic
280C2×#626C2311yescharacteristic
281C2×#626C2311yescharacteristic
282C2×#626C2311yescharacteristic
283C2×#626C2311yescharacteristic
284C2×#626C2311yescharacteristic
285C2×#626C2311yescharacteristic
286C2×#626C2311yescharacteristic
287C2×#626C2311yescharacteristic
288C2×#626C2311yescharacteristic
289C2×#625C2311yescharacteristic
290C2×#625C2311yescharacteristic
291C2×#624C2311yescharacteristic
292C2×#624C2311yescharacteristic
293C2×#624C2311yescharacteristic
294C2×#624C2311yescharacteristic
295C2×#624C2311yescharacteristic
296C2×#624C2311yescharacteristic
297#3804—24no—
298C2×D3×Dic3C2311yescharacteristic
299C2×D3×Dic3C2311yescharacteristic
300C2×D3×Dic3C2311yescharacteristic
301C2×D3×Dic3C2311yescharacteristic
302#3798—24no—
303#3797—24no—
304C32×C4⋊C4C2311yescharacteristic
305C32×C4⋊C4C2311yescharacteristic
306C32×C22⋊C4C2311yescharacteristic
307C32×C22⋊C4C2311yescharacteristic
308C32×C42C2311yescharacteristic
309C32×C42C2311yescharacteristic
310#3757C2311yescharacteristic
311#3752C2311yescharacteristic
312#3752C2311yescharacteristic
313#3752C2311yescharacteristic
314#3752C2311yescharacteristic
315#3752C2311yescharacteristic
316#3752C2311yescharacteristic
317#3752C2311yescharacteristic
318#3752C2311yescharacteristic
319#3752C2311yescharacteristic
320C4⋊(C3⋊Dic3)C2311yescharacteristic
321#3750C2311yescharacteristic
322#3750C2311yescharacteristic
323#3750C2311yescharacteristic
324C4×C3⋊Dic3C2311yescharacteristic
325C4×C3⋊Dic3C2311yescharacteristic
326C4×C3⋊Dic3C2311yescharacteristic
327C3×#217C2311yescharacteristic
328C3×#217C2311yescharacteristic
329C3×#217C2311yescharacteristic
330C3×(C2×D3)⋊C4C2311yescharacteristic
331C3×(C2×D3)⋊C4C2311yescharacteristic
332C3×(C2×D3)⋊C4C2311yescharacteristic
333C3×(C2×D3)⋊C4C2311yescharacteristic
334C3×(C2×D3)⋊C4C2311yescharacteristic
335C3×(C2×D3)⋊C4C2311yescharacteristic
336C3×(C2×D3)⋊C4C2311yescharacteristic
337C3×(C2×D3)⋊C4C2311yescharacteristic
338C3×(C2×D3)⋊C4C2311yescharacteristic
339C3×(C2×D3)⋊C4C2311yescharacteristic
340C3×(C2×D3)⋊C4C2311yescharacteristic
341C3×C4⋊Dic3C2311yescharacteristic
342C3×C4⋊Dic3C2311yescharacteristic
343C3×C4⋊Dic3C2311yescharacteristic
344C3×C4⋊Dic3C2311yescharacteristic
345C3×C4⋊Dic3C2311yescharacteristic
346C3×Dic3⋊C4C2311yescharacteristic
347C3×Dic3⋊C4C2311yescharacteristic
348C3×Dic3⋊C4C2311yescharacteristic
349C3×Dic3⋊C4C2311yescharacteristic
350C3×Dic3⋊C4C2311yescharacteristic
351C3×Dic3⋊C4C2311yescharacteristic
352C3×Dic3⋊C4C2311yescharacteristic
353C3×Dic3⋊C4C2311yescharacteristic
354C3×Dic3⋊C4C2311yescharacteristic
355C3×Dic3⋊C4C2311yescharacteristic
356C3×Dic3⋊C4C2311yescharacteristic
357C3×Dic3⋊C4C2311yescharacteristic
358C3×Dic3⋊C4C2311yescharacteristic
359C3×Dic3⋊C4C2311yescharacteristic
360C3×Dic3⋊C4C2311yescharacteristic
361C3×Dic3⋊C4C2311yescharacteristic
362C3×Dic3⋊C4C2311yescharacteristic
363C3×C4×Dic3C2311yescharacteristic
364C3×C4×Dic3C2311yescharacteristic
365C3×C4×Dic3C2311yescharacteristic
366C3×C4×Dic3C2311yescharacteristic
367C3×C4×Dic3C2311yescharacteristic
368C3×C4×Dic3C2311yescharacteristic
369C3×C4×Dic3C2311yescharacteristic
370#3724C2311yescharacteristic
371#3724C2311yescharacteristic
372#3724C2311yescharacteristic
373#3724C2311yescharacteristic
374#3724C2311yescharacteristic
375Dic3⋊Dic3C2311yescharacteristic
376Dic3⋊Dic3C2311yescharacteristic
377Dic3⋊Dic3C2311yescharacteristic
378Dic3⋊Dic3C2311yescharacteristic
379Dic3⋊Dic3C2311yescharacteristic
380Dic3⋊Dic3C2311yescharacteristic
381Dic3⋊Dic3C2311yescharacteristic
382Dic3⋊Dic3C2311yescharacteristic
383Dic3⋊Dic3C2311yescharacteristic
384#3722C2311yescharacteristic
385#3722C2311yescharacteristic
386#3722C2311yescharacteristic
387#3722C2311yescharacteristic
388#3722C2311yescharacteristic
389#3722C2311yescharacteristic
390#3722C2311yescharacteristic
391#3722C2311yescharacteristic
392#3722C2311yescharacteristic
393(C2×D3)⋊Dic3C2311yescharacteristic
394(C2×D3)⋊Dic3C2311yescharacteristic
395(C2×D3)⋊Dic3C2311yescharacteristic
396(C2×D3)⋊Dic3C2311yescharacteristic
397(C2×D3)⋊Dic3C2311yescharacteristic
398(C2×D3)⋊Dic3C2311yescharacteristic
399(C2×D3)⋊Dic3C2311yescharacteristic
400Dic32C2311yescharacteristic
401Dic32C2311yescharacteristic
402Dic32C2311yescharacteristic
403Dic32C2311yescharacteristic
404Dic32C2311yescharacteristic
405Dic32C2311yescharacteristic
406Dic32C2311yescharacteristic
407Dic32C2311yescharacteristic
408Dic32C2311yescharacteristic
409Dic32C2311yescharacteristic
410#3524—91noSylow
411C2×D3×Q8—31no—
412C2×D3×Q8—31no—
413C2×#237—31no—
414C2×#235—31no—
415C2×#235—31no—
416C2×#235—31no—
417C3×#126—31no—
418C3×#126—31no—
419C3×#126—31no—
420C3×#126—31no—
421C3×#125—31no—
422C3×#125—31no—
423C3×#125—31no—
424C3×#125—31no—
425C3×#124—31no—
426C3×#123—31no—
427C3×#123—31no—
428C3×#123—31no—
429C3×#123—31no—
430C3×C22⋊Q8—31no—
431C3×C22⋊Q8—31no—
432C3×C22⋊Q8—31no—
433C3×#121—31no—
434C3×C4×Q8—31no—
435C3×C4×Q8—31no—
436C3×C4×D4—31no—
437C3×C4×D4—31no—
438C3×C4×D4—31no—
439C3×C4×D4—31no—
440C3×#117—21no—
441C3×#117—31no—
442C3×#117—31no—
443C3×#117—31no—
444C3×#117C2×D311yescharacteristic
445C3×#117C2×D311yescharacteristic
446C2×C3×C4⋊C4—31no—
447C2×C3×C42—31no—
448#947—31no—
449#947—31no—
450#947—31no—
451#946—31no—
452Q8×Dic3—31no—
453Q8×Dic3—31no—
454#940—31no—
455#940—31no—
456#940—31no—
457#940—31no—
458#940—31no—
459#939—31no—
460#939—31no—
461#939—31no—
462#939—31no—
463#939—31no—
464#938—31no—
465#936—31no—
466#936—31no—
467#935—31no—
468D4×Dic3—31no—
469#930—31no—
470#930—31no—
471#930—31no—
472#930—31no—
473#930—31no—
474#930—31no—
475#930—31no—
476#930—61no—
477#929—31no—
478#929—31no—
479#929—31no—
480#929C2×D311yescharacteristic
481C4×#67—31no—
482C4×#67—31no—
483C4×#67—31no—
484C4×#67—31no—
485C4×#67—31no—
486C4×#67—31no—
487C4×#67—31no—
488C4×#67—31no—
489C4×#67—31no—
490C4×#67—31no—
491C4×#67—31no—
492C4×#67—31no—
493C4×#67—31no—
494C4×#67—31no—
495C4×#67—61no—
496C4×#67C2×D311yescharacteristic
497C4×#67C2×D311yescharacteristic
498#926—31no—
499#926—31no—
500#924—31no—
501C2×Dic3⋊C4—31no—
502C2×Dic3⋊C4C2×D311yescharacteristic
503C2×C4×Dic3—31no—
504#898—31no—
505#898—31no—
506#898—31no—
507#898—31no—
508#898—31no—
509#898—31no—
510#898—31no—
511#898C2×D311yescharacteristic
512#898C2×D311yescharacteristic
513#897—31no—
514#897—31no—
515#896—31no—
516#896—31no—
517#896—31no—
518#896—31no—
519#896—31no—
520#896—31no—
521#896C2×D311yescharacteristic
522#896C2×D311yescharacteristic
523#895—31no—
524#895—31no—
525#895—31no—
526#895—31no—
527#895—31no—
528#895—31no—
529#895—31no—
530#895—31no—
531#895—31no—
532#895—31no—
533#895—61no—
534#894—31no—
535#894—31no—
536#894—31no—
537#894—31no—
538#894—31no—
539#894—31no—
540#894—31no—
541#894—31no—
542#894—31no—
543#894—31no—
544#894—31no—
545#894—31no—
546#894—31no—
547#894C2×D311yescharacteristic
548#893—31no—
549#893—31no—
550#893—31no—
551#893—31no—
552#893—31no—
553#893—31no—
554#893—31no—
555#893—31no—
556#893—31no—
557#893—31no—
558#893—31no—
559#893—31no—
560#893—31no—
561#893—31no—
562#893—61no—
563#892—31no—
564#892—31no—
565#892—31no—
566#892—31no—
567#892—31no—
568#892—31no—
569#892—31no—
570#892—31no—
571#892—31no—
572#892—31no—
573#892—31no—
574#892—31no—
575#892—61no—
576D3×C4⋊C4—31no—
577D3×C4⋊C4—31no—
578D3×C4⋊C4—31no—
579#890—31no—
580#890—31no—
581#889—31no—
582#889—31no—
583#889—31no—
584#889—31no—
585#889—31no—
586#889—31no—
587#889—31no—
588#889—31no—
589#889C2×D311yescharacteristic
590#889C2×D311yescharacteristic
591#889C2×D311yescharacteristic
592#888—31no—
593#888—31no—
594#888—31no—
595#888—31no—
596#888—31no—
597#888—31no—
598#888—61no—
599#887—31no—
600#887—31no—
601#887—31no—
602#887—31no—
603#887—31no—
604#887—31no—
605#887—31no—
606#887—31no—
607#887—31no—
608#887—31no—
609#887—31no—
610#887—31no—
611#887—31no—
612#886—31no—
613#886—31no—
614#886—31no—
615#886—31no—
616#886C2×D311yescharacteristic
617#885—31no—
618#885—31no—
619#885—31no—
620#885—31no—
621#885—31no—
622#885—31no—
623#885—31no—
624#885—31no—
625#885—31no—
626#885—31no—
627#885—31no—
628#885—31no—
629#885—31no—
630#885—31no—
631#885—31no—
632#885—31no—
633#885—61no—
634#885—61no—
635#885C2×D311yescharacteristic
636#884—31no—
637#884—31no—
638#884—31no—
639#884—31no—
640#884—31no—
641#884—31no—
642#884—31no—
643#884—31no—
644#884—31no—
645#884—31no—
646#884—31no—
647#884—31no—
648#884—31no—
649#884—31no—
650#884—31no—
651#884—31no—
652#884—31no—
653#884—61no—
654#884—61no—
655#884C2×D311yescharacteristic
656#883—31no—
657#883—31no—
658#883—31no—
659#883—31no—
660#883—31no—
661#883—31no—
662#883—31no—
663#883C2×D311yescharacteristic
664#67⋊C4—31no—
665#67⋊C4—31no—
666#67⋊C4—31no—
667#67⋊C4—31no—
668#67⋊C4—31no—
669#67⋊C4—31no—
670#67⋊C4—31no—
671#67⋊C4—31no—
672#67⋊C4—31no—
673#67⋊C4—31no—
674#67⋊C4—31no—
675#67⋊C4—31no—
676#67⋊C4—31no—
677#67⋊C4C2×D311yescharacteristic
678#879—31no—
679#879—31no—
680#879C2×D311yescharacteristic
681#878—31no—
682#878—31no—
683#878C2×D311yescharacteristic
684#877—31no—
685#877—31no—
686#877—31no—
687#877C2×D311yescharacteristic
688#876—31no—
689#876—31no—
690#876—31no—
691#876C2×D311yescharacteristic
692#875—31no—
693#875—31no—
694#875—31no—
695#875—31no—
696#875—31no—
697#875—31no—
698#875—31no—
699#875—61no—
700#875—61no—
701#874—31no—
702C4×D12—31no—
703C4×D12—31no—
704C4×D12—31no—
705C4×D12—31no—
706C4×D12C2×D311yescharacteristic
707#872—31no—
708#872—31no—
709#872—31no—
710#872—31no—
711#872—31no—
712#872—31no—
713#872—31no—
714#872—31no—
715#872—31no—
716#872—31no—
717#872—31no—
718#872—61no—
719#872—61no—
720#872C2×D311yescharacteristic
721#872C2×D311yescharacteristic
722C42×D3—31no—
723C42×D3—31no—
724C42×D3—31no—
725C42×D3C2×D311yescharacteristic
726#870C2×D311yescharacteristic
727C4×Dic6—31no—
728C4×Dic6—31no—
729C4×Dic6—31no—
730C4×Dic6—31no—
731C4×Dic6—31no—
732C4×Dic6—31no—
733C4×Dic6—31no—
734C4×Dic6C2×D311yescharacteristic
735C4×Dic6C2×D311yescharacteristic
736C23×C32C2411yescharacteristic
737C22×C3⋊D3C2411yescharacteristic
738C22×C3⋊D3C2411yescharacteristic
739C22×C3⋊D3C2411yescharacteristic
740C22×C3×D3C2411yescharacteristic
741C22×C3×D3C2411yescharacteristic
742C22×C3×D3C2411yescharacteristic
743C2×C32×C4—41no—
744C2×C32×C4C2411yescharacteristic
745C2×C32×C4C2411yescharacteristic
746C2×C32×C4C2411yescharacteristic
747C2×C32×C4C2411yescharacteristic
748C2×C32×C4C2411yescharacteristic
749C2×C32×C4C2411yescharacteristic
750#638—22no—
751#638—41no—
752#638—41no—
753C2×C3⋊Dic3C2411yescharacteristic
754C2×C3⋊Dic3C2411yescharacteristic
755C2×C3⋊Dic3C2411yescharacteristic
756C2×C3⋊Dic3C2411yescharacteristic
757C2×C3⋊Dic3C2411yescharacteristic
758C4⋊(C3⋊D3)—41no—
759C4⋊(C3⋊D3)—41no—
760C4⋊(C3⋊D3)—41no—
761C4×C3⋊D3—22no—
762C4×C3⋊D3—22no—
763C4×C3⋊D3—41no—
764#634—41no—
765#634—41no—
766C3×#67—22no—
767C3×#67—41no—
768C3×#67—41no—
769C2×C3×Dic3—22no—
770C2×C3×Dic3—41no—
771C2×C3×Dic3C2411yescharacteristic
772C2×C3×Dic3C2411yescharacteristic
773C2×C3×Dic3C2411yescharacteristic
774C2×C3×Dic3C2411yescharacteristic
775C2×C3×Dic3C2411yescharacteristic
776C2×C3×Dic3C2411yescharacteristic
777C2×C3×Dic3C2411yescharacteristic
778C2×C3×Dic3C2411yescharacteristic
779C2×C3×Dic3C2411yescharacteristic
780C2×C3×Dic3C2411yescharacteristic
781C2×C3×Dic3C2411yescharacteristic
782C2×C3×Dic3C2411yescharacteristic
783C2×C3×Dic3C2411yescharacteristic
784C3×D12—41no—
785C3×C4×D3—22no—
786C3×C4×D3—22no—
787C3×C4×D3—41no—
788C3×C4×D3—41no—
789C3×C4×D3—41no—
790C3×Dic6—22no—
791C3×Dic6—22no—
792#627—22no—
793#627—41no—
794#627#4114yes—
795#626—22no—
796#626—22no—
797#626—22no—
798#626—41no—
799#626—41no—
800#626—41no—
801#626—41no—
802#626—41no—
803#626—41no—
804#625—22no—
805#625—41no—
806#624—22no—
807#624—22no—
808#624—22no—
809#624—41no—
810#624—41no—
811#624—41no—
812D3×Dic3—22no—
813D3×Dic3—41no—
814D3×Dic3—41no—
815D3×Dic3—41no—
816#559—91no—
817#559—91no—
818#559—91no—
819#557—91no—
820#555—91no—
821#555—91no—
822#555—91no—
823#553—91no—
824#553—91no—
825#553—91no—
826#552—31no—
827#552—91no—
828#552—91no—
829#550—91no—
830#548—91no—
831#548—91no—
832#542—91no—
833#542—91no—
834#542—91no—
835#540—91no—
836#540—91no—
837#540—91no—
838#529—31no—
839#529—91no—
840#529—91no—
841#529—91no—
842#529—91no—
843#529—91no—
844#520—91no—
845#519—91no—
846C4×#41—91no—
847C2×C3×Q8—31no—
848C2×C3×Q8—31no—
849C2×C3×D4—31no—
850C2×C3×D4—31no—
851C2×C3×D4—31no—
852C2×C3×D4—31no—
853C22×C3×C4—21no—
854C22×C3×C4—31no—
855C22×C3×C4—31no—
856C22×C3×C4—31no—
857C22×C3×C4—31no—
858C22×C3×C4—31no—
859C22×C3×C4—31no—
860C22×C3×C4—31no—
861C22×C3×C4C22×D311yescharacteristic
862C22×C3×C4C22×D311yescharacteristic
863C2×#67—31no—
864C2×#67—31no—
865C2×#67—31no—
866C2×#67—31no—
867C2×#67—31no—
868C2×#67—31no—
869C2×#67—31no—
870C2×#67—31no—
871C2×#67—31no—
872C2×#67—31no—
873C2×#67—31no—
874C2×#67—31no—
875C2×#67—31no—
876C2×#67—31no—
877C2×#67—31no—
878C2×#67—31no—
879C2×#67—31no—
880C2×#67—31no—
881C2×#67—31no—
882C2×#67—61no—
883C2×#67—61no—
884C2×#67—61no—
885C2×#67C22×D311yescharacteristic
886C2×#67C22×D311yescharacteristic
887C2×#67C22×D311yescharacteristic
888C22×Dic3—31no—
889C22×Dic3—31no—
890C22×Dic3—31no—
891C22×Dic3—31no—
892C22×Dic3C22×D311yescharacteristic
893C22×Dic3C22×D311yescharacteristic
894D3×Q8—64no—
895D3×Q8—64no—
896#237—64no—
897#235—64no—
898#235—64no—
899#235—64no—
900C2×D12—31no—
901C2×D12—31no—
902C2×D12—31no—
903C2×D12—31no—
904C2×D12—31no—
905C2×D12—31no—
906C2×D12—31no—
907C2×D12—31no—
908C2×D12—31no—
909C2×D12—31no—
910C2×D12—31no—
911C2×D12—31no—
912C2×D12—31no—
913C2×D12—31no—
914C2×D12—31no—
915C2×D12—61no—
916C2×D12—61no—
917C2×D12—61no—
918C2×D12C22×D311yescharacteristic
919C2×C4×D3—31no—
920C2×C4×D3—31no—
921C2×C4×D3—31no—
922C2×C4×D3—31no—
923C2×C4×D3—31no—
924C2×C4×D3—31no—
925C2×C4×D3—31no—
926C2×C4×D3—31no—
927C2×C4×D3—31no—
928C2×C4×D3—31no—
929C2×C4×D3—31no—
930C2×C4×D3—31no—
931C2×C4×D3—31no—
932C2×C4×D3—31no—
933C2×C4×D3—31no—
934C2×C4×D3—31no—
935C2×C4×D3—31no—
936C2×C4×D3—31no—
937C2×C4×D3—31no—
938C2×C4×D3—31no—
939C2×C4×D3—31no—
940C2×C4×D3—31no—
941C2×C4×D3—61no—
942C2×C4×D3—61no—
943C2×C4×D3—61no—
944C2×C4×D3C22×D311yescharacteristic
945C2×C4×D3C22×D311yescharacteristic
946C2×C4×D3C22×D311yescharacteristic
947C2×C4×D3C22×D311yescharacteristic
948C2×C4×D3C22×D311yescharacteristic
949C2×Dic6—31no—
950C2×Dic6—31no—
951C2×Dic6—31no—
952C2×Dic6—31no—
953C2×Dic6—31no—
954C2×Dic6—31no—
955C2×Dic6—31no—
956C2×Dic6—31no—
957C2×Dic6—31no—
958C2×Dic6—31no—
959C2×Dic6—61no—
960C2×Dic6—61no—
961C2×Dic6C22×D311yescharacteristic
962C2×Dic6C22×D311yescharacteristic
963C3×C4⋊C4—21no—
964C3×C4⋊C4—21no—
965C3×C4⋊C4—31no—
966C3×C4⋊C4—31no—
967C3×C4⋊C4—31no—
968C3×C4⋊C4—31no—
969C3×C4⋊C4—31no—
970C3×C4⋊C4—31no—
971C3×C4⋊C4—31no—
972C3×C4⋊C4—31no—
973C3×C4⋊C4—31no—
974C3×C4⋊C4—31no—
975C3×C4⋊C4—31no—
976C3×C4⋊C4—31no—
977C3×C4⋊C4—31no—
978C3×C4⋊C4—31no—
979C3×C4⋊C4—31no—
980C3×C4⋊C4—31no—
981C3×C4⋊C4—31no—
982C3×C4⋊C4—31no—
983C3×C4⋊C4—31no—
984C3×C4⋊C4—31no—
985C3×C4⋊C4—31no—
986C3×C4⋊C4—31no—
987C3×C4⋊C4C22×D311yescharacteristic
988C3×C4⋊C4C22×D311yescharacteristic
989C3×C4⋊C4C22×D311yescharacteristic
990C3×C4⋊C4C22×D311yescharacteristic
991C3×C22⋊C4—21no—
992C3×C22⋊C4—21no—
993C3×C22⋊C4—31no—
994C3×C22⋊C4—31no—
995C3×C22⋊C4—31no—
996C3×C22⋊C4—31no—
997C3×C22⋊C4—31no—
998C3×C22⋊C4—31no—
999C3×C22⋊C4—31no—
1000C3×C22⋊C4—31no—
1001C3×C22⋊C4—31no—
1002C3×C22⋊C4—31no—
1003C3×C22⋊C4—31no—
1004C3×C22⋊C4—31no—
1005C3×C22⋊C4—31no—
1006C3×C22⋊C4—31no—
1007C3×C22⋊C4C22×D311yescharacteristic
1008C3×C22⋊C4C22×D311yescharacteristic
1009C3×C22⋊C4C22×D311yescharacteristic
1010C3×C22⋊C4C22×D311yescharacteristic
1011C3×C42—21no—
1012C3×C42—21no—
1013C3×C42—31no—
1014C3×C42—31no—
1015C3×C42—31no—
1016C3×C42—31no—
1017C3×C42—31no—
1018C3×C42—31no—
1019C3×C42—31no—
1020C3×C42C22×D311yescharacteristic
1021C3×C42C22×D311yescharacteristic
1022C3×C42C22×D311yescharacteristic
1023C3×C42C22×D311yescharacteristic
1024#217—31no—
1025#217—31no—
1026#217—31no—
1027#217—31no—
1028#217—31no—
1029#217—31no—
1030#217—31no—
1031#217—31no—
1032#217—31no—
1033#217—61no—
1034#217C22×D311yescharacteristic
1035#217C22×D311yescharacteristic
1036#217C22×D311yescharacteristic
1037(C2×D3)⋊C4—31no—
1038(C2×D3)⋊C4—31no—
1039(C2×D3)⋊C4—31no—
1040(C2×D3)⋊C4—31no—
1041(C2×D3)⋊C4—31no—
1042(C2×D3)⋊C4—31no—
1043(C2×D3)⋊C4—31no—
1044(C2×D3)⋊C4—31no—
1045(C2×D3)⋊C4—31no—
1046(C2×D3)⋊C4—31no—
1047(C2×D3)⋊C4—31no—
1048(C2×D3)⋊C4—31no—
1049(C2×D3)⋊C4—31no—
1050(C2×D3)⋊C4—31no—
1051(C2×D3)⋊C4—31no—
1052(C2×D3)⋊C4—31no—
1053(C2×D3)⋊C4—31no—
1054(C2×D3)⋊C4—31no—
1055(C2×D3)⋊C4—31no—
1056(C2×D3)⋊C4—31no—
1057(C2×D3)⋊C4—31no—
1058(C2×D3)⋊C4—31no—
1059(C2×D3)⋊C4—31no—
1060(C2×D3)⋊C4—31no—
1061(C2×D3)⋊C4—31no—
1062(C2×D3)⋊C4—31no—
1063(C2×D3)⋊C4—31no—
1064(C2×D3)⋊C4—31no—
1065(C2×D3)⋊C4—31no—
1066(C2×D3)⋊C4—31no—
1067(C2×D3)⋊C4—31no—
1068(C2×D3)⋊C4—31no—
1069(C2×D3)⋊C4—31no—
1070(C2×D3)⋊C4—31no—
1071(C2×D3)⋊C4—31no—
1072(C2×D3)⋊C4—31no—
1073(C2×D3)⋊C4—31no—
1074(C2×D3)⋊C4—31no—
1075(C2×D3)⋊C4—31no—
1076(C2×D3)⋊C4—31no—
1077(C2×D3)⋊C4—31no—
1078(C2×D3)⋊C4—31no—
1079(C2×D3)⋊C4—31no—
1080(C2×D3)⋊C4—61no—
1081(C2×D3)⋊C4—61no—
1082(C2×D3)⋊C4—61no—
1083(C2×D3)⋊C4—61no—
1084(C2×D3)⋊C4—61no—
1085(C2×D3)⋊C4—61no—
1086(C2×D3)⋊C4—61no—
1087(C2×D3)⋊C4—61no—
1088(C2×D3)⋊C4—61no—
1089(C2×D3)⋊C4C22×D311yescharacteristic
1090(C2×D3)⋊C4C22×D311yescharacteristic
1091(C2×D3)⋊C4C22×D311yescharacteristic
1092(C2×D3)⋊C4C22×D311yescharacteristic
1093(C2×D3)⋊C4C22×D311yescharacteristic
1094(C2×D3)⋊C4C22×D311yescharacteristic
1095(C2×D3)⋊C4C22×D311yescharacteristic
1096(C2×D3)⋊C4C22×D311yescharacteristic
1097(C2×D3)⋊C4C22×D311yescharacteristic
1098(C2×D3)⋊C4C22×D311yescharacteristic
1099(C2×D3)⋊C4C22×D311yescharacteristic
1100C4⋊Dic3—31no—
1101C4⋊Dic3—31no—
1102C4⋊Dic3—31no—
1103C4⋊Dic3—31no—
1104C4⋊Dic3—31no—
1105C4⋊Dic3—31no—
1106C4⋊Dic3—31no—
1107C4⋊Dic3—31no—
1108C4⋊Dic3—31no—
1109C4⋊Dic3—31no—
1110C4⋊Dic3—31no—
1111C4⋊Dic3—61no—
1112C4⋊Dic3C22×D311yescharacteristic
1113C4⋊Dic3C22×D311yescharacteristic
1114C4⋊Dic3C22×D311yescharacteristic
1115C4⋊Dic3C22×D311yescharacteristic
1116C4⋊Dic3C22×D311yescharacteristic
1117Dic3⋊C4—31no—
1118Dic3⋊C4—31no—
1119Dic3⋊C4—31no—
1120Dic3⋊C4—31no—
1121Dic3⋊C4—31no—
1122Dic3⋊C4—31no—
1123Dic3⋊C4—31no—
1124Dic3⋊C4—31no—
1125Dic3⋊C4—31no—
1126Dic3⋊C4—31no—
1127Dic3⋊C4—31no—
1128Dic3⋊C4—31no—
1129Dic3⋊C4—31no—
1130Dic3⋊C4—31no—
1131Dic3⋊C4—31no—
1132Dic3⋊C4—31no—
1133Dic3⋊C4—31no—
1134Dic3⋊C4—31no—
1135Dic3⋊C4—31no—
1136Dic3⋊C4—31no—
1137Dic3⋊C4—31no—
1138Dic3⋊C4—31no—
1139Dic3⋊C4—31no—
1140Dic3⋊C4—31no—
1141Dic3⋊C4—31no—
1142Dic3⋊C4—61no—
1143Dic3⋊C4—61no—
1144Dic3⋊C4—61no—
1145Dic3⋊C4C22×D311yescharacteristic
1146Dic3⋊C4C22×D311yescharacteristic
1147Dic3⋊C4C22×D311yescharacteristic
1148Dic3⋊C4C22×D311yescharacteristic
1149Dic3⋊C4C22×D311yescharacteristic
1150Dic3⋊C4C22×D311yescharacteristic
1151Dic3⋊C4C22×D311yescharacteristic
1152Dic3⋊C4C22×D311yescharacteristic
1153Dic3⋊C4C22×D311yescharacteristic
1154Dic3⋊C4C22×D311yescharacteristic
1155Dic3⋊C4C22×D311yescharacteristic
1156Dic3⋊C4C22×D311yescharacteristic
1157Dic3⋊C4C22×D311yescharacteristic
1158Dic3⋊C4C22×D311yescharacteristic
1159Dic3⋊C4C22×D311yescharacteristic
1160Dic3⋊C4C22×D311yescharacteristic
1161Dic3⋊C4C22×D311yescharacteristic
1162C4×Dic3—31no—
1163C4×Dic3—31no—
1164C4×Dic3—31no—
1165C4×Dic3—31no—
1166C4×Dic3—31no—
1167C4×Dic3—31no—
1168C4×Dic3—31no—
1169C4×Dic3—31no—
1170C4×Dic3—31no—
1171C4×Dic3—31no—
1172C4×Dic3—31no—
1173C4×Dic3—31no—
1174C4×Dic3—31no—
1175C4×Dic3—31no—
1176C4×Dic3—31no—
1177C4×Dic3—31no—
1178C4×Dic3—31no—
1179C4×Dic3—31no—
1180C4×Dic3—31no—
1181C4×Dic3—31no—
1182C4×Dic3—31no—
1183C4×Dic3—31no—
1184C4×Dic3—31no—
1185C4×Dic3—31no—
1186C4×Dic3—31no—
1187C4×Dic3—31no—
1188C4×Dic3—61no—
1189C4×Dic3—61no—
1190C4×Dic3—61no—
1191C4×Dic3C22×D311yescharacteristic
1192C4×Dic3C22×D311yescharacteristic
1193C4×Dic3C22×D311yescharacteristic
1194C4×Dic3C22×D311yescharacteristic
1195C4×Dic3C22×D311yescharacteristic
1196C4×Dic3C22×D311yescharacteristic
1197C4×Dic3C22×D311yescharacteristic
1198C22×C32—21no—
1199C22×C32—21no—
1200C22×C32—21no—
1201C22×C32C2511yescharacteristic
1202C2×C3⋊D3—21no—
1203C2×C3⋊D3—21no—
1204C2×C3⋊D3—21no—
1205C2×C3⋊D3—21no—
1206C2×C3⋊D3—21no—
1207C2×C3⋊D3—21no—
1208C2×C3⋊D3—21no—
1209C2×C3⋊D3—21no—
1210C2×C3⋊D3—21no—
1211C2×C3×D3—21no—
1212C2×C3×D3—21no—
1213C2×C3×D3—21no—
1214C2×C3×D3—21no—
1215C2×C3×D3—21no—
1216C2×C3×D3—21no—
1217C2×C3×D3—21no—
1218C2×C3×D3—21no—
1219C2×C3×D3—21no—
1220C32×C4—21no—
1221C32×C4—21no—
1222C32×C4—21no—
1223C32×C4—21no—
1224C32×C4—21no—
1225C32×C4—21no—
1226C3⋊Dic3—21no—
1227C3⋊Dic3—21no—
1228C3⋊Dic3—21no—
1229C3⋊Dic3—21no—
1230C3⋊Dic3C2×#4112yes—
1231C3×Dic3—21no—
1232C3×Dic3—21no—
1233C3×Dic3—21no—
1234C3×Dic3—21no—
1235C3×Dic3—21no—
1236C3×Dic3—21no—
1237C3×Dic3—21no—
1238C3×Dic3—21no—
1239C3×Dic3—21no—
1240C3×Dic3—21no—
1241C3×Dic3—21no—
1242C3×Dic3C2×#4112yes—
1243C3×Dic3C2×#4112yes—
1244C2×#41—91no—
1245C2×#41—91no—
1246C22×Q8—91no—
1247C4⋊Q8—91no—
1248C4⋊Q8—91no—
1249C4⋊Q8—91no—
1250#127—91no—
1251#127—91no—
1252#127—91no—
1253#126—31no—
1254#126—31no—
1255#126—31no—
1256#126—31no—
1257#126—91no—
1258#126—91no—
1259#126—91no—
1260#126—91no—
1261#126—91no—
1262#126—91no—
1263#125—31no—
1264#125—31no—
1265#125—31no—
1266#125—31no—
1267#125—91no—
1268#125—91no—
1269#125—91no—
1270#125—91no—
1271#125—91no—
1272#124—31no—
1273#124—91no—
1274#124—91no—
1275#124—91no—
1276#124—91no—
1277#124—91no—
1278#124—91no—
1279#124—91no—
1280#124—91no—
1281#124—91no—
1282#124—91no—
1283#124—91no—
1284#124—91no—
1285#124—91no—
1286#124—91no—
1287#123—31no—
1288#123—31no—
1289#123—31no—
1290#123—31no—
1291#123—91no—
1292#123—91no—
1293#123—91no—
1294#123—91no—
1295#123—91no—
1296#123—91no—
1297#123—91no—
1298#123—91no—
1299#123—91no—
1300#123—91no—
1301#123—91no—
1302#123—91no—
1303#123—91no—
1304#123—91no—
1305C22⋊Q8—31no—
1306C22⋊Q8—31no—
1307C22⋊Q8—31no—
1308C22⋊Q8—91no—
1309C22⋊Q8—91no—
1310C22⋊Q8—91no—
1311C22⋊Q8—91no—
1312C22⋊Q8—91no—
1313C22⋊Q8—91no—
1314#121—31no—
1315#121—91no—
1316#121—91no—
1317#121—91no—
1318#121—91no—
1319#121—91no—
1320#121—91no—
1321#121—91no—
1322#121—91no—
1323#121—91no—
1324#121—91no—
1325#121—91no—
1326#121—91no—
1327#121—91no—
1328#121—91no—
1329#121—91no—
1330#121—91no—
1331#121—91no—
1332#121—91no—
1333#121—91no—
1334#121—91no—
1335C4×Q8—31no—
1336C4×Q8—31no—
1337C4×Q8—91no—
1338C4×Q8—91no—
1339C4×Q8—91no—
1340C4×Q8—91no—
1341C4×Q8—91no—
1342C4×Q8—91no—
1343C4×Q8—91no—
1344C4×Q8—91no—
1345C4×Q8—91no—
1346C4×Q8—91no—
1347C4×Q8—91no—
1348C4×D4—31no—
1349C4×D4—31no—
1350C4×D4—31no—
1351C4×D4—31no—
1352C4×D4—91no—
1353C4×D4—91no—
1354C4×D4—91no—
1355C4×D4—91no—
1356C4×D4—91no—
1357C4×D4—91no—
1358C4×D4—91no—
1359C4×D4—91no—
1360C4×D4—91no—
1361C4×D4—91no—
1362C4×D4—91no—
1363C4×D4—91no—
1364C4×D4—91no—
1365C4×D4—91no—
1366C4×D4—91no—
1367C4×D4—91no—
1368C4×D4—91no—
1369C4×D4—91no—
1370C4×D4—91no—
1371C4×D4—91no—
1372C4×D4—91no—
1373C4×D4—91no—
1374C4×D4—91no—
1375#117—31no—
1376#117—31no—
1377#117—31no—
1378#117—91no—
1379#117—91no—
1380#117—91no—
1381#117—91no—
1382#117—91no—
1383#117—91no—
1384#117—91no—
1385#117—91no—
1386#117—91no—
1387#117—91no—
1388#117—91no—
1389#117—91no—
1390#117—91no—
1391#117—91no—
1392#117D3211yescharacteristic
1393C2×C4⋊C4—31no—
1394C2×C4⋊C4—91no—
1395C2×C4⋊C4—91no—
1396C2×C42—31no—
1397C2×C42—91no—
1398C2×C42—91no—
1399C23×C3—21no—
1400C23×C3—31no—
1401C23×C3—31no—
1402C23×C3—31no—
1403C23×C3C23×D311yescharacteristic
1404C23×C3C23×D311yescharacteristic
1405C22×D3—31no—
1406C22×D3—31no—
1407C22×D3—31no—
1408C22×D3—31no—
1409C22×D3—31no—
1410C22×D3—31no—
1411C22×D3—61no—
1412C22×D3—61no—
1413C22×D3—61no—
1414C22×D3C23×D311yescharacteristic
1415C22×D3C23×D311yescharacteristic
1416C22×D3C23×D311yescharacteristic
1417C3×Q8—62no—
1418C3×Q8—62no—
1419C3×D4—62no—
1420C3×D4—121no—
1421C3×D4—121no—
1422C3×D4—121no—
1423C2×C3×C4—21no—
1424C2×C3×C4—21no—
1425C2×C3×C4—21no—
1426C2×C3×C4—21no—
1427C2×C3×C4—21no—
1428C2×C3×C4—21no—
1429C2×C3×C4—31no—
1430C2×C3×C4—31no—
1431C2×C3×C4—31no—
1432C2×C3×C4—31no—
1433C2×C3×C4—31no—
1434C2×C3×C4—31no—
1435C2×C3×C4—31no—
1436C2×C3×C4—31no—
1437C2×C3×C4—31no—
1438C2×C3×C4—31no—
1439C2×C3×C4—31no—
1440C2×C3×C4—31no—
1441C2×C3×C4—31no—
1442C2×C3×C4—41no—
1443C2×C3×C4—41no—
1444C2×C3×C4—42no—
1445C2×C3×C4—62no—
1446C2×C3×C4—62no—
1447C2×C3×C4—62no—
1448C2×C3×C4—121no—
1449C2×C3×C4—121no—
1450C2×C3×C4—121no—
1451C2×C3×C4—121no—
1452C2×C3×C4C23×D311yescharacteristic
1453C2×C3×C4C23×D311yescharacteristic
1454C2×C3×C4C23×D311yescharacteristic
1455C2×C3×C4C23×D311yescharacteristic
1456C2×C3×C4C23×D311yescharacteristic
1457C2×C3×C4C23×D311yescharacteristic
1458C2×C3×C4C23×D311yescharacteristic
1459C2×C3×C4C23×D311yescharacteristic
1460C2×C3×C4C23×D311yescharacteristic
1461C2×C3×C4C23×D311yescharacteristic
1462C2×C3×C4C23×D311yescharacteristic
1463C2×C3×C4C23×D311yescharacteristic
1464#67—22no—
1465#67—41no—
1466#67—41no—
1467#67—62no—
1468#67—62no—
1469#67—62no—
1470#67—62no—
1471#67—62no—
1472#67—62no—
1473#67—62no—
1474#67—122no—
1475#67—121no—
1476#67—121no—
1477#67—121no—
1478#67—121no—
1479#67—121no—
1480#67—121no—
1481#67—121no—
1482#67—121no—
1483#67—121no—
1484#67—121no—
1485#67—121no—
1486#67—121no—
1487#67—241no—
1488#67—241no—
1489C2×Dic3—22no—
1490C2×Dic3—31no—
1491C2×Dic3—31no—
1492C2×Dic3—31no—
1493C2×Dic3—31no—
1494C2×Dic3—31no—
1495C2×Dic3—31no—
1496C2×Dic3—31no—
1497C2×Dic3—31no—
1498C2×Dic3—31no—
1499C2×Dic3—31no—
1500C2×Dic3—41no—
1501C2×Dic3—61no—
1502C2×Dic3—61no—
1503C2×Dic3—61no—
1504C2×Dic3—61no—
1505C2×Dic3—61no—
1506C2×Dic3—62no—
1507C2×Dic3—121no—
1508C2×Dic3—121no—
1509C2×Dic3—121no—
1510C2×Dic3C23×D311yescharacteristic
1511C2×Dic3C23×D311yescharacteristic
1512C2×Dic3C23×D311yescharacteristic
1513C2×Dic3C23×D311yescharacteristic
1514C2×Dic3C23×D311yescharacteristic
1515C2×Dic3C23×D311yescharacteristic
1516C2×Dic3C23×D311yescharacteristic
1517C2×Dic3C23×D311yescharacteristic
1518C2×Dic3C23×D311yescharacteristic
1519C2×Dic3C23×D311yescharacteristic
1520C2×Dic3C23×D311yescharacteristic
1521C2×Dic3C23×D311yescharacteristic
1522C2×Dic3C23×D311yescharacteristic
1523D12—41no—
1524D12—62no—
1525D12—62no—
1526D12—62no—
1527D12—121no—
1528D12—121no—
1529D12—121no—
1530D12—121no—
1531D12—121no—
1532D12—121no—
1533D12—122no—
1534D12—121no—
1535D12—121no—
1536D12—121no—
1537D12—121no—
1538D12—121no—
1539D12—121no—
1540D12—241no—
1541D12—241no—
1542C4×D3—22no—
1543C4×D3—22no—
1544C4×D3—41no—
1545C4×D3—41no—
1546C4×D3—41no—
1547C4×D3—62no—
1548C4×D3—62no—
1549C4×D3—62no—
1550C4×D3—62no—
1551C4×D3—62no—
1552C4×D3—62no—
1553C4×D3—62no—
1554C4×D3—62no—
1555C4×D3—62no—
1556C4×D3—62no—
1557C4×D3—62no—
1558C4×D3—122no—
1559C4×D3—122no—
1560C4×D3—121no—
1561C4×D3—121no—
1562C4×D3—121no—
1563C4×D3—121no—
1564C4×D3—121no—
1565C4×D3—121no—
1566C4×D3—121no—
1567C4×D3—121no—
1568C4×D3—121no—
1569C4×D3—121no—
1570C4×D3—121no—
1571C4×D3—122no—
1572Dic6—22no—
1573Dic6—22no—
1574Dic6—34no—
1575Dic6—34no—
1576Dic6—62no—
1577Dic6—62no—
1578Dic6—121no—
1579Dic6—121no—
1580Dic6—121no—
1581Dic6—121no—
1582Dic6—121no—
1583Dic6—121no—
1584Dic6—241no—
1585Dic6—241no—
1586C2×C32—41no—
1587C2×C32C22×#4111yescharacteristic
1588C2×C32#58511yescharacteristic
1589C2×C32#58511yescharacteristic
1590C3⋊D3—41no—
1591C3⋊D3—41no—
1592C3⋊D3—41no—
1593C3×D3—41no—
1594C3×D3—41no—
1595C3×D3—41no—
1596#41—184no—
1597#41—184no—
1598C2×Q8—31no—
1599C2×Q8—31no—
1600C2×Q8—91no—
1601C2×Q8—91no—
1602C2×Q8—91no—
1603C2×Q8—91no—
1604C2×Q8—91no—
1605C2×Q8—184no—
1606C2×D4—31no—
1607C2×D4—31no—
1608C2×D4—31no—
1609C2×D4—31no—
1610C2×D4—91no—
1611C2×D4—91no—
1612C2×D4—91no—
1613C2×D4—91no—
1614C2×D4—91no—
1615C2×D4—91no—
1616C2×D4—91no—
1617C2×D4—91no—
1618C2×D4—91no—
1619C2×D4—91no—
1620C2×D4—91no—
1621C2×D4—91no—
1622C2×D4—91no—
1623C2×D4—91no—
1624C2×D4—91no—
1625C2×D4—91no—
1626C2×D4—91no—
1627C22×C4—31no—
1628C22×C4—31no—
1629C22×C4—31no—
1630C22×C4—31no—
1631C22×C4—31no—
1632C22×C4—31no—
1633C22×C4—31no—
1634C22×C4—91no—
1635C22×C4—91no—
1636C22×C4—91no—
1637C22×C4—91no—
1638C22×C4—91no—
1639C22×C4—91no—
1640C22×C4—91no—
1641C22×C4—91no—
1642C22×C4—91no—
1643C22×C4—91no—
1644C22×C4—91no—
1645C22×C4—91no—
1646C22×C4—91no—
1647C22×C4C2×D3211yescharacteristic
1648C4⋊C4—31no—
1649C4⋊C4—31no—
1650C4⋊C4—31no—
1651C4⋊C4—31no—
1652C4⋊C4—31no—
1653C4⋊C4—31no—
1654C4⋊C4—31no—
1655C4⋊C4—31no—
1656C4⋊C4—31no—
1657C4⋊C4—31no—
1658C4⋊C4—31no—
1659C4⋊C4—31no—
1660C4⋊C4—31no—
1661C4⋊C4—31no—
1662C4⋊C4—31no—
1663C4⋊C4—31no—
1664C4⋊C4—31no—
1665C4⋊C4—31no—
1666C4⋊C4—31no—
1667C4⋊C4—31no—
1668C4⋊C4—31no—
1669C4⋊C4—31no—
1670C4⋊C4—91no—
1671C4⋊C4—91no—
1672C4⋊C4—91no—
1673C4⋊C4—91no—
1674C4⋊C4—91no—
1675C4⋊C4—91no—
1676C4⋊C4—91no—
1677C4⋊C4—91no—
1678C4⋊C4—91no—
1679C4⋊C4—91no—
1680C4⋊C4—91no—
1681C4⋊C4—91no—
1682C4⋊C4—91no—
1683C4⋊C4—91no—
1684C4⋊C4—91no—
1685C4⋊C4—91no—
1686C4⋊C4—91no—
1687C4⋊C4—91no—
1688C4⋊C4C2×D3211yescharacteristic
1689C4⋊C4C2×D3211yescharacteristic
1690C22⋊C4—31no—
1691C22⋊C4—31no—
1692C22⋊C4—31no—
1693C22⋊C4—31no—
1694C22⋊C4—31no—
1695C22⋊C4—31no—
1696C22⋊C4—31no—
1697C22⋊C4—31no—
1698C22⋊C4—31no—
1699C22⋊C4—31no—
1700C22⋊C4—31no—
1701C22⋊C4—31no—
1702C22⋊C4—31no—
1703C22⋊C4—31no—
1704C22⋊C4—91no—
1705C22⋊C4—91no—
1706C22⋊C4—91no—
1707C22⋊C4—91no—
1708C22⋊C4—91no—
1709C22⋊C4—91no—
1710C22⋊C4—91no—
1711C22⋊C4—91no—
1712C22⋊C4—91no—
1713C22⋊C4—91no—
1714C22⋊C4—91no—
1715C22⋊C4—91no—
1716C22⋊C4—91no—
1717C22⋊C4—91no—
1718C22⋊C4—91no—
1719C22⋊C4—91no—
1720C22⋊C4—91no—
1721C22⋊C4—91no—
1722C22⋊C4—91no—
1723C22⋊C4—91no—
1724C22⋊C4—91no—
1725C22⋊C4—91no—
1726C22⋊C4—91no—
1727C22⋊C4—91no—
1728C22⋊C4—91no—
1729C22⋊C4—91no—
1730C22⋊C4C2×D3211yescharacteristic
1731C22⋊C4C2×D3211yescharacteristic
1732C42—31no—
1733C42—31no—
1734C42—31no—
1735C42—31no—
1736C42—31no—
1737C42—31no—
1738C42—31no—
1739C42—91no—
1740C42—91no—
1741C42—91no—
1742C42—91no—
1743C42—91no—
1744C42—91no—
1745C42—91no—
1746C42—91no—
1747C42—91no—
1748C42—91no—
1749C42—91no—
1750C42—91no—
1751C42—91no—
1752C42C2×D3211yescharacteristic
1753C42C2×D3211yescharacteristic
1754C22×C3—21no—
1755C22×C3—21no—
1756C22×C3—21no—
1757C22×C3—21no—
1758C22×C3—21no—
1759C22×C3—21no—
1760C22×C3—21no—
1761C22×C3—41no—
1762C22×C3—41no—
1763C22×C3—41no—
1764C22×C3—61no—
1765C22×C3—61no—
1766C22×C3—61no—
1767C22×C3—61no—
1768C22×C3—61no—
1769C22×C3—61no—
1770C22×C3—61no—
1771C22×C3—61no—
1772C22×C3—61no—
1773C22×C3C24×D311yescharacteristic
1774C22×C3C24×D311yescharacteristic
1775C2×D3—21no—
1776C2×D3—21no—
1777C2×D3—21no—
1778C2×D3—21no—
1779C2×D3—21no—
1780C2×D3—21no—
1781C2×D3—21no—
1782C2×D3—21no—
1783C2×D3—21no—
1784C2×D3—61no—
1785C2×D3—61no—
1786C2×D3—61no—
1787C2×D3—61no—
1788C2×D3—61no—
1789C2×D3—61no—
1790C2×D3—61no—
1791C2×D3—61no—
1792C2×D3—61no—
1793C2×D3—61no—
1794C2×D3—61no—
1795C2×D3—61no—
1796C2×D3—61no—
1797C2×D3—61no—
1798C2×D3—61no—
1799C2×D3—61no—
1800C2×D3—61no—
1801C2×D3—61no—
1802C2×D3—121no—
1803C2×D3—121no—
1804C2×D3—121no—
1805C2×D3—121no—
1806C2×D3—121no—
1807C2×D3—121no—
1808C2×D3—121no—
1809C2×D3—121no—
1810C2×D3—121no—
1811C3×C4—22no—
1812C3×C4—21no—
1813C3×C4—21no—
1814C3×C4—21no—
1815C3×C4—21no—
1816C3×C4—21no—
1817C3×C4—21no—
1818C3×C4—21no—
1819C3×C4—21no—
1820C3×C4—21no—
1821C3×C4—21no—
1822C3×C4—21no—
1823C3×C4—21no—
1824C3×C4—32no—
1825C3×C4—32no—
1826C3×C4—41no—
1827C3×C4—41no—
1828C3×C4—41no—
1829C3×C4—41no—
1830C3×C4—41no—
1831C3×C4—61no—
1832C3×C4—61no—
1833C3×C4—61no—
1834C3×C4—61no—
1835C3×C4—61no—
1836C3×C4—61no—
1837C3×C4—61no—
1838C3×C4—61no—
1839C3×C4—61no—
1840C3×C4—61no—
1841C3×C4—61no—
1842Dic3—21no—
1843Dic3—21no—
1844Dic3—21no—
1845Dic3—21no—
1846Dic3—21no—
1847Dic3—21no—
1848Dic3—21no—
1849Dic3—21no—
1850Dic3—21no—
1851Dic3—21no—
1852Dic3—21no—
1853Dic3—32no—
1854Dic3—32no—
1855Dic3—62no—
1856Dic3—61no—
1857Dic3—61no—
1858Dic3—61no—
1859Dic3—61no—
1860Dic3—61no—
1861Dic3—61no—
1862Dic3—61no—
1863Dic3—61no—
1864Dic3—121no—
1865Dic3—121no—
1866Dic3—121no—
1867Dic3—121no—
1868Dic3D3×#4112yes—
1869Dic3D3×#4112yes—
1870C32#352411yescharacteristic, complemented, Sylow
1871C23—31no—
1872C23—31no—
1873C23—31no—
1874C23—91no—
1875C23—91no—
1876C23—91no—
1877C23C22×D3211yescharacteristic
1878Q8—62no—
1879Q8—62no—
1880Q8—94no—
1881Q8—182no—
1882Q8—361no—
1883Q8—361no—
1884Q8—361no—
1885D4—62no—
1886D4—121no—
1887D4—121no—
1888D4—121no—
1889D4—182no—
1890D4—182no—
1891D4—182no—
1892D4—182no—
1893D4—182no—
1894D4—361no—
1895D4—361no—
1896D4—361no—
1897D4—361no—
1898D4—361no—
1899D4—361no—
1900D4—361no—
1901D4—361no—
1902D4—361no—
1903D4—361no—
1904D4—361no—
1905D4—361no—
1906C2×C4—31no—
1907C2×C4—31no—
1908C2×C4—31no—
1909C2×C4—31no—
1910C2×C4—31no—
1911C2×C4—31no—
1912C2×C4—31no—
1913C2×C4—31no—
1914C2×C4—31no—
1915C2×C4—31no—
1916C2×C4—31no—
1917C2×C4—31no—
1918C2×C4—31no—
1919C2×C4—41no—
1920C2×C4—62no—
1921C2×C4—62no—
1922C2×C4—62no—
1923C2×C4—91no—
1924C2×C4—91no—
1925C2×C4—91no—
1926C2×C4—91no—
1927C2×C4—91no—
1928C2×C4—121no—
1929C2×C4—121no—
1930C2×C4—121no—
1931C2×C4—121no—
1932C2×C4—182no—
1933C2×C4—182no—
1934C2×C4—182no—
1935C2×C4—182no—
1936C2×C4—182no—
1937C2×C4—182no—
1938C2×C4—361no—
1939C2×C4—361no—
1940C2×C4—361no—
1941C2×C4—361no—
1942C2×C4—361no—
1943C2×C4—361no—
1944C2×C4—361no—
1945C2×C4C22×D3211yescharacteristic
1946C2×C4C22×D3211yescharacteristic
1947C2×C4C22×D3211yescharacteristic
1948C2×C4C22×D3211yescharacteristic
1949C2×C4C22×D3211yescharacteristic
1950C2×C4C22×D3211yescharacteristic
1951C2×C3—21no—
1952C2×C3—21no—
1953C2×C3—21no—
1954C2×C3—41no—
1955C2×C3—41no—
1956C2×C3—81no—
1957C2×C3—121no—
1958C2×C3—121no—
1959C2×C3—121no—
1960C2×C3C2×D3×#4111yescharacteristic
1961C2×C3C2×D3×#4111yescharacteristic
1962C2×C3#596411yescharacteristic
1963C2×C3#596411yescharacteristic
1964C2×C3#596411yescharacteristic
1965C2×C3#596811yescharacteristic
1966D3—41no—
1967D3—41no—
1968D3—41no—
1969D3—121no—
1970D3—121no—
1971D3—121no—
1972D3—121no—
1973D3—121no—
1974D3—121no—
1975D3—241no—
1976D3—241no—
1977D3—241no—
1978C22—21no—
1979C22—21no—
1980C22—21no—
1981C22—61no—
1982C22—61no—
1983C22—61no—
1984C22—61no—
1985C22—61no—
1986C22—61no—
1987C22—61no—
1988C22—61no—
1989C22—61no—
1990C22—181no—
1991C22—181no—
1992C22—181no—
1993C22—181no—
1994C22—181no—
1995C22—181no—
1996C22—181no—
1997C22—181no—
1998C22—181no—
1999C22C23×D3211yescharacteristic
2000C4—21no—
2001C4—21no—
2002C4—21no—
2003C4—21no—
2004C4—21no—
2005C4—21no—
2006C4—32no—
2007C4—32no—
2008C4—61no—
2009C4—61no—
2010C4—61no—
2011C4—61no—
2012C4—61no—
2013C4—61no—
2014C4—61no—
2015C4—61no—
2016C4—61no—
2017C4—61no—
2018C4—61no—
2019C4—92no—
2020C4—181no—
2021C4—181no—
2022C4—181no—
2023C4—181no—
2024C3—21no—
2025C3#8613111yescharacteristic, complemented
2026C3#8684311yescharacteristic, complemented
2027C2—41no—
2028C2—121no—
2029C2—121no—
2030C2—121no—
2031C2—361no—
2032C2—361no—
2033C2—361no—
2034C2#1059666911yescharacteristic
2035C2D32×#4111yescharacteristic
2036C2#1059669711yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×#117C22
hypercenter#117D32
hypocenterC32#3524
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #117

Complements

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

NH ≅ G/Ntype
1. #10596003C2semidirect
2. C3×#5531C2semidirect
3. C3×#5528C2semidirect
4. #10595028C2semidirect
5. #10595027C2semidirect
6. #10594957C2semidirect
7. #10594874C2semidirect
8. #10594521C2semidirect
9. #10594487C2semidirect
10. #10594468C2semidirect
11. #10594467C2semidirect
12. #10594465C2semidirect
13. #10594442C2semidirect
14. #10594334C2semidirect
15. #10594315C2semidirect
16. #10594246C2semidirect
17. #10594161C2semidirect
18. #10594143C2semidirect
19. #10594106C2semidirect
20. #10594104C2semidirect
21. #10594089C2semidirect
22. #10594075C2semidirect
23. #10594038C2semidirect
24. #10593978C2semidirect
25. #10593977C2semidirect
26. #10593976C2semidirect
27. #10593965C2semidirect
28. #10593936C2semidirect
29. #10593924C2semidirect
30. #10593918C2semidirect
31. #10593848C2semidirect
244. #5531D3semidirect
246. #5528D3semidirect
1870. C32#3524semidirect
2025. C3#86131semidirect
2026. C3#86843semidirect

Maximal subgroups

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

subgroupindex
#105960032
C3×#55312
C3×#55282
#105950282
#105950272
#105949572
#105948742
#105945212
#105944872
#105944682
#105944672
#105944652
#105944422
#105943342
#105943152
#105942462
#105941612
#105941432
#105941062
#105941042
#105940892
#105940752
#105940382
#105939782
#105939772
#105939762
#105939652
#105939362
#105939242
#105939182
#105938482
#868433
#861313