Finite Group Databasebeta

← #11910460

Subgroups — #11910460

Order 1152.

1970 conjugacy classes of subgroups.

The subgroup lattice has 1946 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596118C211yesmaximal, characteristic, complemented
2C3×#5646C211yesmaximal, characteristic, complemented
3C3×#5622C211yesmaximal, characteristic, complemented
4#10595376C211yesmaximal, characteristic, complemented
5#10595374C211yesmaximal, characteristic, complemented
6#10595352C211yesmaximal, characteristic, complemented
7#10595345C211yesmaximal, characteristic, complemented
8#10594978C211yesmaximal, characteristic, complemented
9#10594955C211yesmaximal, characteristic, complemented
10#10594948C211yesmaximal, characteristic, complemented
11#10594811C211yesmaximal, characteristic, complemented
12#10594593C211yesmaximal, characteristic, complemented
13#10594504C211yesmaximal, characteristic, complemented
14#10594503C211yesmaximal, characteristic, complemented
15#10594464C211yesmaximal, characteristic, complemented
16#10594423C211yesmaximal, characteristic, complemented
17#10594423C211yesmaximal, characteristic, complemented
18#10594398C211yesmaximal, characteristic, complemented
19#10594397C211yesmaximal, characteristic, complemented
20#10594386C211yesmaximal, characteristic, complemented
21#10594353C211yesmaximal, characteristic, complemented
22#10594353C211yesmaximal, characteristic, complemented
23#10594326C211yesmaximal, characteristic, complemented
24#10594251C211yesmaximal, characteristic, complemented
25#10594178C211yesmaximal, characteristic, complemented
26#10594106C211yesmaximal, characteristic, complemented
27#10594106C211yesmaximal, characteristic, complemented
28#10594099C211yesmaximal, characteristic, complemented
29#10594088C211yesmaximal, characteristic, complemented
30#10594043C211yesmaximal, characteristic, complemented
31#10594034C211yesmaximal, characteristic, complemented
32#87116—31nomaximal
33#86286—31nomaximal
34C32×C22⋊Q8C2211yescharacteristic
35#64156C2211yescharacteristic
36#64155C2211yescharacteristic
37#64139C2211yescharacteristic
38#64138C2211yescharacteristic
39#64106C2211yescharacteristic
40#64105C2211yescharacteristic
41#64104C2211yescharacteristic
42#64103C2211yescharacteristic
43#64103C2211yescharacteristic
44#64098C2211yescharacteristic
45#64094C2211yescharacteristic
46#64093C2211yescharacteristic
47#64093C2211yescharacteristic
48#64092C2211yescharacteristic
49C3×#946C2211yescharacteristic
50C3×Q8×Dic3C2211yescharacteristic
51C3×#944C2211yescharacteristic
52C3×#944C2211yescharacteristic
53C3×#929C2211yescharacteristic
54C3×#924C2211yescharacteristic
55C3×#924C2211yescharacteristic
56C2×C3×C4×Dic3C2211yescharacteristic
57C3×#898C2211yescharacteristic
58C3×#898C2211yescharacteristic
59C3×#896C2211yescharacteristic
60C3×#890C2211yescharacteristic
61C3×#889C2211yescharacteristic
62C3×#889C2211yescharacteristic
63C3×#889C2211yescharacteristic
64C3×#888C2211yescharacteristic
65C3×#888C2211yescharacteristic
66C3×#887C2211yescharacteristic
67C3×#887C2211yescharacteristic
68C3×#887C2211yescharacteristic
69C3×#885C2211yescharacteristic
70C3×#883C2211yescharacteristic
71C3×#879C2211yescharacteristic
72C3×#879C2211yescharacteristic
73C3×#878C2211yescharacteristic
74C3×#878C2211yescharacteristic
75C3×#877C2211yescharacteristic
76C3×#877C2211yescharacteristic
77#63978C2211yescharacteristic
78#63975C2211yescharacteristic
79#63975C2211yescharacteristic
80Dic3×#67C2211yescharacteristic
81#63971C2211yescharacteristic
82#63966C2211yescharacteristic
83#63966C2211yescharacteristic
84#63964C2211yescharacteristic
85#63958C2211yescharacteristic
86#63956C2211yescharacteristic
87#63956C2211yescharacteristic
88#63953C2211yescharacteristic
89#63953C2211yescharacteristic
90#63952C2211yescharacteristic
91#63952C2211yescharacteristic
92#63952C2211yescharacteristic
93#63918C2211yescharacteristic
94#63910C2211yescharacteristic
95#63910C2211yescharacteristic
96#63909C2211yescharacteristic
97#63907C2211yescharacteristic
98#63907C2211yescharacteristic
99#63897C2211yescharacteristic
100#63897C2211yescharacteristic
101#63897C2211yescharacteristic
102#63897C2211yescharacteristic
103#63896C2211yescharacteristic
104#63895C2211yescharacteristic
105#63895C2211yescharacteristic
106#63895C2211yescharacteristic
107#63894C2211yescharacteristic
108#63894C2211yescharacteristic
109#63894C2211yescharacteristic
110#63893C2211yescharacteristic
111#63890C2211yescharacteristic
112#63890C2211yescharacteristic
113#63888C2211yescharacteristic
114#63888C2211yescharacteristic
115#63888C2211yescharacteristic
116#63888C2211yescharacteristic
117#63888C2211yescharacteristic
118#63888C2211yescharacteristic
119#63887C2211yescharacteristic
120C4×#624C2211yescharacteristic
121C4×#624C2211yescharacteristic
122C4×#624C2211yescharacteristic
123#63880C2211yescharacteristic
124#63880C2211yescharacteristic
125#63880C2211yescharacteristic
126#63877C2211yescharacteristic
127#63877C2211yescharacteristic
128C4×D3×Dic3C2211yescharacteristic
129#63872C2211yescharacteristic
130#63871C2211yescharacteristic
131#63871C2211yescharacteristic
132#63871C2211yescharacteristic
133#63870C2211yescharacteristic
134#63870C2211yescharacteristic
135#63869C2211yescharacteristic
136#63868C2211yescharacteristic
137#63868C2211yescharacteristic
138#63868C2211yescharacteristic
139#63868C2211yescharacteristic
140#63868C2211yescharacteristic
141#63868C2211yescharacteristic
142#63868C2211yescharacteristic
143#63867C2211yescharacteristic
144#63867C2211yescharacteristic
145#63867C2211yescharacteristic
146#63866C2211yescharacteristic
147#63865C2211yescharacteristic
148#63865C2211yescharacteristic
149#63865C2211yescharacteristic
150#63864C2211yescharacteristic
151#63864C2211yescharacteristic
152#63861C2211yescharacteristic
153#63859C2211yescharacteristic
154#63853C2211yescharacteristic
155#63853C2211yescharacteristic
156#63853C2211yescharacteristic
157#63852C2211yescharacteristic
158#63851C2211yescharacteristic
159#63850C2211yescharacteristic
160#63848C2211yescharacteristic
161#63848C2211yescharacteristic
162#63848C2211yescharacteristic
163#63848C2211yescharacteristic
164#63848C2211yescharacteristic
165#63847C2211yescharacteristic
166#63847C2211yescharacteristic
167#63846C2211yescharacteristic
168#63846C2211yescharacteristic
169#63846C2211yescharacteristic
170#63846C2211yescharacteristic
171#63845C2211yescharacteristic
172#63845C2211yescharacteristic
173#63844C2211yescharacteristic
174Dic3×Dic6C2211yescharacteristic
175Dic3×Dic6C2211yescharacteristic
176#63840C2211yescharacteristic
177#63839C2211yescharacteristic
178#63839C2211yescharacteristic
179#63839C2211yescharacteristic
180#63837C2211yescharacteristic
181#63837C2211yescharacteristic
182#63837C2211yescharacteristic
183#63836C2211yescharacteristic
184#63836C2211yescharacteristic
185#63836C2211yescharacteristic
186#63836C2211yescharacteristic
187#63836C2211yescharacteristic
188#63836C2211yescharacteristic
189C3×#563—31no—
190C3×#533—31no—
191#5735—31no—
192#5735—31no—
193#5735—31no—
194#5735—31no—
195#5735—31no—
196#5735—31no—
197#5728—31no—
198#5728—31no—
199#5712—31no—
200#5712—31no—
201#5712—31no—
202#5712—31no—
203#5706—31no—
204#5706—31no—
205#5706—31no—
206#5706—31no—
207#5700—31no—
208#5699—31no—
209#5699—31no—
210#5699—31no—
211#5691—31no—
212#5688—31no—
213C3⋊#564—31no—
214C3⋊#564—31no—
215#5684—31no—
216#5680—31no—
217#5667—31no—
218#5667—31no—
219#5649—31no—
220#5649—31no—
221#5647—31no—
222#5647—31no—
223#5647—31no—
224#5647—31no—
225#5647—31no—
226#5647—31no—
227#5647—61no—
228#5646—31no—
229#5646—31no—
230#5646—31no—
231#5646—31no—
232#5646—31no—
233#5646D311yescharacteristic, complemented
234#5624—31no—
235#5624—31no—
236#5622—31no—
237#5622D311yescharacteristic, complemented
238#5580—31no—
239#5580—31no—
240#5580—31no—
241#5580—31no—
242#5578—31no—
243#5578—31no—
244#5578—31no—
245#5578—31no—
246#5528—31no—
247#5528—31no—
248#5528—31no—
249#5528—31no—
250#5479—31no—
251#5479—31no—
252C2×C32×Q8C2311yescharacteristic
253C22×C32×C4C2311yescharacteristic
254C2×#638C2311yescharacteristic
255C2×#638C2311yescharacteristic
256C2×#638C2311yescharacteristic
257C2×C4⋊(C3⋊D3)C2311yescharacteristic
258C2×C4⋊(C3⋊D3)C2311yescharacteristic
259C2×C4⋊(C3⋊D3)C2311yescharacteristic
260C2×C4×C3⋊D3C2311yescharacteristic
261C2×C4×C3⋊D3C2311yescharacteristic
262C2×C4×C3⋊D3C2311yescharacteristic
263C2×#634C2311yescharacteristic
264C2×C3×#67C2311yescharacteristic
265C22×C3×Dic3C2311yescharacteristic
266C22×C3×Dic3C2311yescharacteristic
267C2×C3×C4×D3C2311yescharacteristic
268C2×C3×Dic6C2311yescharacteristic
269C2×C3×Dic6C2311yescharacteristic
270C2×C3×Dic6C2311yescharacteristic
271C2×C3×Dic6C2311yescharacteristic
272C2×C3×Dic6C2311yescharacteristic
273C2×#627C2311yescharacteristic
274C2×#627C2311yescharacteristic
275C2×#627C2311yescharacteristic
276C2×#626C2311yescharacteristic
277C2×#626C2311yescharacteristic
278C2×#626C2311yescharacteristic
279C2×#624C2311yescharacteristic
280C2×#624C2311yescharacteristic
281C2×#624C2311yescharacteristic
282C2×#624C2311yescharacteristic
283C2×#624C2311yescharacteristic
284C2×#624C2311yescharacteristic
285C2×D3×Dic3C2311yescharacteristic
286C2×D3×Dic3C2311yescharacteristic
287C32×C4⋊C4C2311yescharacteristic
288C32×C4⋊C4C2311yescharacteristic
289C32×C4⋊C4C2311yescharacteristic
290C32×C22⋊C4C2311yescharacteristic
291C32×C22⋊C4C2311yescharacteristic
292#3757C2311yescharacteristic
293#3752C2311yescharacteristic
294#3752C2311yescharacteristic
295#3752C2311yescharacteristic
296#3752C2311yescharacteristic
297#3752C2311yescharacteristic
298#3752C2311yescharacteristic
299#3752C2311yescharacteristic
300#3752C2311yescharacteristic
301#3752C2311yescharacteristic
302C4⋊(C3⋊Dic3)C2311yescharacteristic
303C4⋊(C3⋊Dic3)C2311yescharacteristic
304#3750C2311yescharacteristic
305#3750C2311yescharacteristic
306#3750C2311yescharacteristic
307#3750C2311yescharacteristic
308#3750C2311yescharacteristic
309C4×C3⋊Dic3C2311yescharacteristic
310C3×#217C2311yescharacteristic
311C3×#217C2311yescharacteristic
312C3×#217C2311yescharacteristic
313C3×#217C2311yescharacteristic
314C3×#217C2311yescharacteristic
315C3×(C2×D3)⋊C4C2311yescharacteristic
316C3×(C2×D3)⋊C4C2311yescharacteristic
317C3×(C2×D3)⋊C4C2311yescharacteristic
318C3×(C2×D3)⋊C4C2311yescharacteristic
319C3×(C2×D3)⋊C4C2311yescharacteristic
320C3×C4⋊Dic3C2311yescharacteristic
321C3×C4⋊Dic3C2311yescharacteristic
322C3×C4⋊Dic3C2311yescharacteristic
323C3×C4⋊Dic3C2311yescharacteristic
324C3×C4⋊Dic3C2311yescharacteristic
325C3×C4⋊Dic3C2311yescharacteristic
326C3×C4⋊Dic3C2311yescharacteristic
327C3×Dic3⋊C4C2311yescharacteristic
328C3×Dic3⋊C4C2311yescharacteristic
329C3×Dic3⋊C4C2311yescharacteristic
330C3×Dic3⋊C4C2311yescharacteristic
331C3×Dic3⋊C4C2311yescharacteristic
332C3×Dic3⋊C4C2311yescharacteristic
333C3×Dic3⋊C4C2311yescharacteristic
334C3×Dic3⋊C4C2311yescharacteristic
335C3×Dic3⋊C4C2311yescharacteristic
336C3×Dic3⋊C4C2311yescharacteristic
337C3×Dic3⋊C4C2311yescharacteristic
338C3×Dic3⋊C4C2311yescharacteristic
339C3×Dic3⋊C4C2311yescharacteristic
340C3×Dic3⋊C4C2311yescharacteristic
341C3×Dic3⋊C4C2311yescharacteristic
342C3×Dic3⋊C4C2311yescharacteristic
343C3×Dic3⋊C4C2311yescharacteristic
344C3×Dic3⋊C4C2311yescharacteristic
345C3×Dic3⋊C4C2311yescharacteristic
346C3×C4×Dic3C2311yescharacteristic
347C3×C4×Dic3C2311yescharacteristic
348C3×C4×Dic3C2311yescharacteristic
349C3×C4×Dic3C2311yescharacteristic
350C3×C4×Dic3C2311yescharacteristic
351C3×C4×Dic3C2311yescharacteristic
352C3×C4×Dic3C2311yescharacteristic
353C3×C4×Dic3C2311yescharacteristic
354C3×C4×Dic3C2311yescharacteristic
355C3×C4×Dic3C2311yescharacteristic
356C3×C4×Dic3C2311yescharacteristic
357#3724C2311yescharacteristic
358#3724C2311yescharacteristic
359#3724C2311yescharacteristic
360#3724C2311yescharacteristic
361#3724C2311yescharacteristic
362#3724C2311yescharacteristic
363#3724C2311yescharacteristic
364Dic3⋊Dic3C2311yescharacteristic
365Dic3⋊Dic3C2311yescharacteristic
366Dic3⋊Dic3C2311yescharacteristic
367Dic3⋊Dic3C2311yescharacteristic
368Dic3⋊Dic3C2311yescharacteristic
369Dic3⋊Dic3C2311yescharacteristic
370Dic3⋊Dic3C2311yescharacteristic
371Dic3⋊Dic3C2311yescharacteristic
372Dic3⋊Dic3C2311yescharacteristic
373Dic3⋊Dic3C2311yescharacteristic
374Dic3⋊Dic3C2311yescharacteristic
375Dic3⋊Dic3C2311yescharacteristic
376Dic3⋊Dic3C2311yescharacteristic
377Dic3⋊Dic3C2311yescharacteristic
378Dic3⋊Dic3C2311yescharacteristic
379Dic3⋊Dic3C2311yescharacteristic
380Dic3⋊Dic3C2311yescharacteristic
381#3722C2311yescharacteristic
382#3722C2311yescharacteristic
383#3722C2311yescharacteristic
384#3722C2311yescharacteristic
385#3722C2311yescharacteristic
386#3722C2311yescharacteristic
387#3722C2311yescharacteristic
388#3722C2311yescharacteristic
389#3722C2311yescharacteristic
390#3722C2311yescharacteristic
391#3722C2311yescharacteristic
392#3722C2311yescharacteristic
393#3722C2311yescharacteristic
394#3722C2311yescharacteristic
395#3722C2311yescharacteristic
396(C2×D3)⋊Dic3C2311yescharacteristic
397(C2×D3)⋊Dic3C2311yescharacteristic
398(C2×D3)⋊Dic3C2311yescharacteristic
399Dic32C2311yescharacteristic
400Dic32C2311yescharacteristic
401Dic32C2311yescharacteristic
402Dic32C2311yescharacteristic
403Dic32C2311yescharacteristic
404Dic32C2311yescharacteristic
405Dic32C2311yescharacteristic
406Dic32C2311yescharacteristic
407#3531—91noSylow
408C3×C4⋊Q8—31no—
409C3×C4⋊Q8—31no—
410C3×C4⋊Q8—31no—
411C3×C4⋊Q8—31no—
412C3×#126—31no—
413C3×#126—31no—
414C3×#126—31no—
415C3×#126—31no—
416C3×#125—31no—
417C3×#125—31no—
418C3×#125—31no—
419C3×#125—31no—
420C3×#124—31no—
421C3×#123—31no—
422C3×#123—31no—
423C3×C22⋊Q8—21no—
424C3×C22⋊Q8—31no—
425C3×C22⋊Q8—31no—
426C3×C22⋊Q8—31no—
427C3×C22⋊Q8—31no—
428C3×C22⋊Q8—31no—
429C3×C22⋊Q8—31no—
430C3×C22⋊Q8C2×D311yescharacteristic
431C3×C22⋊Q8C2×D311yescharacteristic
432C3×C4×Q8—31no—
433C3×C4×Q8—31no—
434C3×C4×Q8—31no—
435C3×C4×Q8—31no—
436C3×#117—31no—
437C3×#117—31no—
438C2×C3×C42—31no—
439#947—31no—
440#947—31no—
441#947—31no—
442#947—31no—
443#947—31no—
444#947—31no—
445#947—61no—
446#946—31no—
447#946—31no—
448#946—31no—
449#946—31no—
450#946—31no—
451#946—31no—
452#946—31no—
453#946—31no—
454#946—31no—
455#946—31no—
456#946—31no—
457#946—31no—
458#946—61no—
459#946C2×D311yescharacteristic
460Q8×Dic3—31no—
461Q8×Dic3—31no—
462Q8×Dic3C2×D311yescharacteristic
463#944—31no—
464#944—31no—
465#944—31no—
466#944—31no—
467#944C2×D311yescharacteristic
468#944C2×D311yescharacteristic
469#939—31no—
470#939—31no—
471#938—31no—
472D4×Dic3—31no—
473#930—31no—
474#930—31no—
475#930—31no—
476#930—31no—
477#930—61no—
478#929—31no—
479#929—31no—
480#929—31no—
481#929—31no—
482#929—31no—
483#929—61no—
484#929C2×D311yescharacteristic
485C4×#67—31no—
486C4×#67—31no—
487C4×#67—31no—
488C4×#67—31no—
489#924—31no—
490#924—31no—
491#924C2×D311yescharacteristic
492#924C2×D311yescharacteristic
493C2×C4×Dic3—31no—
494C2×C4×Dic3C2×D311yescharacteristic
495#898—31no—
496#898—31no—
497#898—31no—
498#898—31no—
499#898—31no—
500#898—31no—
501#898—31no—
502#898—31no—
503#898—31no—
504#898—31no—
505#898—31no—
506#898—31no—
507#898—31no—
508#898—31no—
509#898—31no—
510#898—31no—
511#898—31no—
512#898—31no—
513#898C2×D311yescharacteristic
514#898C2×D311yescharacteristic
515#897—31no—
516#897—31no—
517#897—31no—
518#897—31no—
519#897—31no—
520#897—31no—
521#897—31no—
522#897—31no—
523#897—31no—
524#897—61no—
525#896—31no—
526#896—31no—
527#896—31no—
528#896—31no—
529#896—31no—
530#896—31no—
531#896—31no—
532#896—31no—
533#896—31no—
534#896—31no—
535#896—31no—
536#896—31no—
537#896—31no—
538#896—31no—
539#896—31no—
540#896—31no—
541#896—31no—
542#896—31no—
543#896—31no—
544#896—61no—
545#896C2×D311yescharacteristic
546#895—31no—
547#895—31no—
548#895—31no—
549#895—31no—
550#895—31no—
551#895—61no—
552#894—31no—
553#894—31no—
554#894—31no—
555#894—31no—
556#894—31no—
557#894—31no—
558#894—31no—
559#894—31no—
560#894—31no—
561#894—31no—
562#894—31no—
563#894—31no—
564#894—31no—
565#894—31no—
566#894—31no—
567#894—31no—
568#894—31no—
569#894—31no—
570#894—61no—
571#894—61no—
572#893—31no—
573#893—31no—
574#893—31no—
575#892—31no—
576#892—31no—
577#892—31no—
578#892—31no—
579#892—31no—
580#892—31no—
581#890—31no—
582#890—31no—
583#890—31no—
584#890—31no—
585#890—31no—
586#890—31no—
587#890—31no—
588#890—31no—
589#890—31no—
590#890C2×D311yescharacteristic
591#889—31no—
592#889—31no—
593#889—31no—
594#889—31no—
595#889—31no—
596#889—31no—
597#889—31no—
598#889—31no—
599#889—31no—
600#889—31no—
601#889—31no—
602#889—31no—
603#889—31no—
604#889—31no—
605#889—31no—
606#889—31no—
607#889—31no—
608#889—31no—
609#889—31no—
610#889—61no—
611#889C2×D311yescharacteristic
612#889C2×D311yescharacteristic
613#889C2×D311yescharacteristic
614#888—31no—
615#888—31no—
616#888—31no—
617#888—31no—
618#888—31no—
619#888—31no—
620#888C2×D311yescharacteristic
621#888C2×D311yescharacteristic
622#887—31no—
623#887—31no—
624#887—31no—
625#887—31no—
626#887C2×D311yescharacteristic
627#887C2×D311yescharacteristic
628#887C2×D311yescharacteristic
629#886—31no—
630#886—31no—
631#886—31no—
632#886—31no—
633#885—31no—
634#885—31no—
635#885—31no—
636#885—31no—
637#885—31no—
638#885—31no—
639#885—31no—
640#885—31no—
641#885—31no—
642#885—61no—
643#885C2×D311yescharacteristic
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—61no—
653#884—61no—
654#883—31no—
655#883—31no—
656#883—31no—
657#883—31no—
658#883—31no—
659#883—31no—
660#883—31no—
661#883—31no—
662#883—31no—
663#883—61no—
664#883C2×D311yescharacteristic
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#879—31no—
672#879—31no—
673#879—31no—
674#879—31no—
675#879—31no—
676#879—31no—
677#879C2×D311yescharacteristic
678#879C2×D311yescharacteristic
679#878—31no—
680#878—31no—
681#878—31no—
682#878—31no—
683#878C2×D311yescharacteristic
684#878C2×D311yescharacteristic
685#877—31no—
686#877—31no—
687#877C2×D311yescharacteristic
688#877C2×D311yescharacteristic
689#876—31no—
690#876—31no—
691#876—31no—
692#876—31no—
693#876—31no—
694#876—31no—
695#876—31no—
696#876—31no—
697#875—31no—
698#875—31no—
699#875—31no—
700C4×D12—31no—
701C4×D12—31no—
702C4×D12—31no—
703C4×D12—31no—
704C4×D12—31no—
705C4×D12—31no—
706#872—31no—
707#872—31no—
708#872—31no—
709#872—31no—
710#872—31no—
711#872—31no—
712#872—31no—
713#872—31no—
714C42×D3—31no—
715C42×D3—31no—
716C42×D3—31no—
717C42×D3—31no—
718C42×D3—31no—
719C42×D3—31no—
720C42×D3—31no—
721#870—31no—
722#870—31no—
723#870—31no—
724#870—31no—
725#869—31no—
726#869—31no—
727C4×Dic6—31no—
728C4×Dic6—31no—
729C4×Dic6—31no—
730C4×Dic6—31no—
731C4×Dic6—31no—
732C4×Dic6—31no—
733C23×C32C2411yescharacteristic
734C22×C3⋊D3C2411yescharacteristic
735C22×C3⋊D3C2411yescharacteristic
736C22×C3⋊D3C2411yescharacteristic
737C22×C3×D3C2411yescharacteristic
738C32×Q8—41no—
739C2×C32×C4—41no—
740C2×C32×C4C2411yescharacteristic
741C2×C32×C4C2411yescharacteristic
742C2×C32×C4C2411yescharacteristic
743C2×C32×C4C2411yescharacteristic
744C2×C32×C4C2411yescharacteristic
745C2×C32×C4C2411yescharacteristic
746#638—41no—
747#638—41no—
748#638—41no—
749C2×C3⋊Dic3C2411yescharacteristic
750C2×C3⋊Dic3C2411yescharacteristic
751C2×C3⋊Dic3C2411yescharacteristic
752C2×C3⋊Dic3C2411yescharacteristic
753C2×C3⋊Dic3C2411yescharacteristic
754C4⋊(C3⋊D3)—41no—
755C4⋊(C3⋊D3)—41no—
756C4⋊(C3⋊D3)—41no—
757C4×C3⋊D3—41no—
758C4×C3⋊D3—41no—
759C4×C3⋊D3—41no—
760#634—41no—
761C3×#67—41no—
762C2×C3×Dic3—22no—
763C2×C3×Dic3—41no—
764C2×C3×Dic3C2411yescharacteristic
765C2×C3×Dic3C2411yescharacteristic
766C2×C3×Dic3C2411yescharacteristic
767C2×C3×Dic3C2411yescharacteristic
768C2×C3×Dic3C2411yescharacteristic
769C2×C3×Dic3C2411yescharacteristic
770C2×C3×Dic3C2411yescharacteristic
771C2×C3×Dic3C2411yescharacteristic
772C2×C3×Dic3C2411yescharacteristic
773C2×C3×Dic3C2411yescharacteristic
774C2×C3×Dic3C2411yescharacteristic
775C2×C3×Dic3C2411yescharacteristic
776C2×C3×Dic3C2411yescharacteristic
777C2×C3×Dic3C2411yescharacteristic
778C2×C3×Dic3C2411yescharacteristic
779C3×C4×D3—41no—
780C3×Dic6—41no—
781C3×Dic6—41no—
782C3×Dic6—41no—
783C3×Dic6—41no—
784C3×Dic6—41no—
785#627—41no—
786#627—41no—
787#627—41no—
788#626—41no—
789#626—41no—
790#626—41no—
791#624—22no—
792#624—22no—
793#624—22no—
794#624—41no—
795#624—41no—
796#624—41no—
797D3×Dic3—22no—
798D3×Dic3—41no—
799#564—91no—
800#563—31no—
801#563—91no—
802#563—91no—
803#563—91no—
804#563—91no—
805#563—91no—
806#563—91no—
807#563—91no—
808#563—91no—
809#563—91no—
810#562—91no—
811#562—91no—
812#562—91no—
813#562—91no—
814#562—91no—
815#533—31no—
816#533—91no—
817#533—91no—
818#533—91no—
819#533—91no—
820#529—91no—
821#529—91no—
822#529—91no—
823#529—91no—
824#529—91no—
825#529—91no—
826#529—91no—
827#529—91no—
828#529—91no—
829#529—91no—
830C2×C3×Q8—21no—
831C2×C3×Q8—31no—
832C2×C3×Q8—31no—
833C2×C3×Q8—31no—
834C2×C3×Q8—31no—
835C2×C3×Q8—31no—
836C2×C3×Q8C22×D311yescharacteristic
837C2×C3×Q8C22×D311yescharacteristic
838C2×C3×D4—31no—
839C22×C3×C4—21no—
840C22×C3×C4—31no—
841C22×C3×C4—31no—
842C22×C3×C4—31no—
843C22×C3×C4C22×D311yescharacteristic
844C22×C3×C4C22×D311yescharacteristic
845C2×#67—31no—
846C2×#67—31no—
847C2×#67—31no—
848C2×#67—31no—
849C2×#67—31no—
850C2×#67—31no—
851C2×#67—31no—
852C2×#67—31no—
853C2×#67—31no—
854C2×#67—61no—
855C2×#67—61no—
856C2×#67—61no—
857C2×#67C22×D311yescharacteristic
858C22×Dic3—31no—
859C22×Dic3—31no—
860C22×Dic3C22×D311yescharacteristic
861C22×Dic3C22×D311yescharacteristic
862C2×D12—31no—
863C2×D12—31no—
864C2×D12—31no—
865C2×D12—31no—
866C2×D12—31no—
867C2×D12—31no—
868C2×D12—31no—
869C2×D12—31no—
870C2×D12—31no—
871C2×D12—61no—
872C2×D12—61no—
873C2×D12—61no—
874C2×C4×D3—31no—
875C2×C4×D3—31no—
876C2×C4×D3—31no—
877C2×C4×D3—31no—
878C2×C4×D3—31no—
879C2×C4×D3—31no—
880C2×C4×D3—31no—
881C2×C4×D3—31no—
882C2×C4×D3—31no—
883C2×C4×D3—31no—
884C2×C4×D3—31no—
885C2×C4×D3—31no—
886C2×C4×D3—31no—
887C2×C4×D3—31no—
888C2×C4×D3—31no—
889C2×C4×D3—31no—
890C2×C4×D3—31no—
891C2×C4×D3—31no—
892C2×C4×D3—31no—
893C2×C4×D3—31no—
894C2×C4×D3—61no—
895C2×C4×D3—61no—
896C2×C4×D3—61no—
897C2×C4×D3C22×D311yescharacteristic
898C2×Dic6—31no—
899C2×Dic6—31no—
900C2×Dic6—31no—
901C2×Dic6—31no—
902C2×Dic6—31no—
903C2×Dic6—31no—
904C2×Dic6—31no—
905C2×Dic6—31no—
906C2×Dic6—61no—
907C2×Dic6C22×D311yescharacteristic
908C2×Dic6C22×D311yescharacteristic
909C2×Dic6C22×D311yescharacteristic
910C2×Dic6C22×D311yescharacteristic
911C2×Dic6C22×D311yescharacteristic
912C3×C4⋊C4—21no—
913C3×C4⋊C4—21no—
914C3×C4⋊C4—21no—
915C3×C4⋊C4—31no—
916C3×C4⋊C4—31no—
917C3×C4⋊C4—31no—
918C3×C4⋊C4—31no—
919C3×C4⋊C4—31no—
920C3×C4⋊C4—31no—
921C3×C4⋊C4—31no—
922C3×C4⋊C4—31no—
923C3×C4⋊C4—31no—
924C3×C4⋊C4—31no—
925C3×C4⋊C4—31no—
926C3×C4⋊C4—31no—
927C3×C4⋊C4—31no—
928C3×C4⋊C4—31no—
929C3×C4⋊C4—31no—
930C3×C4⋊C4—31no—
931C3×C4⋊C4—31no—
932C3×C4⋊C4—31no—
933C3×C4⋊C4—31no—
934C3×C4⋊C4—31no—
935C3×C4⋊C4—31no—
936C3×C4⋊C4—31no—
937C3×C4⋊C4—31no—
938C3×C4⋊C4—31no—
939C3×C4⋊C4—31no—
940C3×C4⋊C4—31no—
941C3×C4⋊C4C22×D311yescharacteristic
942C3×C4⋊C4C22×D311yescharacteristic
943C3×C4⋊C4C22×D311yescharacteristic
944C3×C4⋊C4C22×D311yescharacteristic
945C3×C4⋊C4C22×D311yescharacteristic
946C3×C4⋊C4C22×D311yescharacteristic
947C3×C22⋊C4—21no—
948C3×C22⋊C4—21no—
949C3×C22⋊C4—31no—
950C3×C22⋊C4—31no—
951C3×C22⋊C4—31no—
952C3×C22⋊C4—31no—
953C3×C22⋊C4—31no—
954C3×C22⋊C4—31no—
955C3×C22⋊C4—31no—
956C3×C22⋊C4—31no—
957C3×C22⋊C4—31no—
958C3×C22⋊C4—31no—
959C3×C22⋊C4C22×D311yescharacteristic
960C3×C22⋊C4C22×D311yescharacteristic
961C3×C22⋊C4C22×D311yescharacteristic
962C3×C22⋊C4C22×D311yescharacteristic
963C3×C42—31no—
964C3×C42—31no—
965C3×C42—31no—
966C3×C42—31no—
967C3×C42—31no—
968C3×C42—31no—
969C3×C42—31no—
970C3×C42—31no—
971C3×C42—31no—
972C3×C42—31no—
973C3×C42—31no—
974#217—31no—
975#217—31no—
976#217—31no—
977#217—31no—
978#217—31no—
979#217—61no—
980#217C22×D311yescharacteristic
981#217C22×D311yescharacteristic
982#217C22×D311yescharacteristic
983#217C22×D311yescharacteristic
984#217C22×D311yescharacteristic
985(C2×D3)⋊C4—31no—
986(C2×D3)⋊C4—31no—
987(C2×D3)⋊C4—31no—
988(C2×D3)⋊C4—31no—
989(C2×D3)⋊C4—31no—
990(C2×D3)⋊C4—31no—
991(C2×D3)⋊C4—31no—
992(C2×D3)⋊C4—31no—
993(C2×D3)⋊C4—31no—
994(C2×D3)⋊C4—31no—
995(C2×D3)⋊C4—31no—
996(C2×D3)⋊C4—31no—
997(C2×D3)⋊C4—31no—
998(C2×D3)⋊C4—31no—
999(C2×D3)⋊C4—31no—
1000(C2×D3)⋊C4—31no—
1001(C2×D3)⋊C4—31no—
1002(C2×D3)⋊C4—31no—
1003(C2×D3)⋊C4—31no—
1004(C2×D3)⋊C4—31no—
1005(C2×D3)⋊C4—31no—
1006(C2×D3)⋊C4—31no—
1007(C2×D3)⋊C4—31no—
1008(C2×D3)⋊C4—31no—
1009(C2×D3)⋊C4—31no—
1010(C2×D3)⋊C4—31no—
1011(C2×D3)⋊C4—31no—
1012(C2×D3)⋊C4—31no—
1013(C2×D3)⋊C4—31no—
1014(C2×D3)⋊C4—31no—
1015(C2×D3)⋊C4—31no—
1016(C2×D3)⋊C4—31no—
1017(C2×D3)⋊C4—31no—
1018(C2×D3)⋊C4—31no—
1019(C2×D3)⋊C4—31no—
1020(C2×D3)⋊C4—31no—
1021(C2×D3)⋊C4—31no—
1022(C2×D3)⋊C4—31no—
1023(C2×D3)⋊C4—31no—
1024(C2×D3)⋊C4—31no—
1025(C2×D3)⋊C4—31no—
1026(C2×D3)⋊C4—31no—
1027(C2×D3)⋊C4—31no—
1028(C2×D3)⋊C4—31no—
1029(C2×D3)⋊C4—31no—
1030(C2×D3)⋊C4—31no—
1031(C2×D3)⋊C4—31no—
1032(C2×D3)⋊C4—31no—
1033(C2×D3)⋊C4—31no—
1034(C2×D3)⋊C4—31no—
1035(C2×D3)⋊C4—31no—
1036(C2×D3)⋊C4—61no—
1037(C2×D3)⋊C4—61no—
1038(C2×D3)⋊C4—61no—
1039(C2×D3)⋊C4—61no—
1040(C2×D3)⋊C4—61no—
1041(C2×D3)⋊C4—61no—
1042(C2×D3)⋊C4—61no—
1043(C2×D3)⋊C4—61no—
1044(C2×D3)⋊C4—61no—
1045(C2×D3)⋊C4C22×D311yescharacteristic
1046(C2×D3)⋊C4C22×D311yescharacteristic
1047(C2×D3)⋊C4C22×D311yescharacteristic
1048(C2×D3)⋊C4C22×D311yescharacteristic
1049(C2×D3)⋊C4C22×D311yescharacteristic
1050C4⋊Dic3—31no—
1051C4⋊Dic3—31no—
1052C4⋊Dic3—31no—
1053C4⋊Dic3—31no—
1054C4⋊Dic3—31no—
1055C4⋊Dic3—31no—
1056C4⋊Dic3—31no—
1057C4⋊Dic3—31no—
1058C4⋊Dic3—31no—
1059C4⋊Dic3—31no—
1060C4⋊Dic3—31no—
1061C4⋊Dic3—31no—
1062C4⋊Dic3—31no—
1063C4⋊Dic3—31no—
1064C4⋊Dic3—31no—
1065C4⋊Dic3—31no—
1066C4⋊Dic3—31no—
1067C4⋊Dic3—31no—
1068C4⋊Dic3—31no—
1069C4⋊Dic3—31no—
1070C4⋊Dic3—31no—
1071C4⋊Dic3—61no—
1072C4⋊Dic3—61no—
1073C4⋊Dic3C22×D311yescharacteristic
1074C4⋊Dic3C22×D311yescharacteristic
1075C4⋊Dic3C22×D311yescharacteristic
1076C4⋊Dic3C22×D311yescharacteristic
1077C4⋊Dic3C22×D311yescharacteristic
1078C4⋊Dic3C22×D311yescharacteristic
1079C4⋊Dic3C22×D311yescharacteristic
1080Dic3⋊C4—31no—
1081Dic3⋊C4—31no—
1082Dic3⋊C4—31no—
1083Dic3⋊C4—31no—
1084Dic3⋊C4—31no—
1085Dic3⋊C4—31no—
1086Dic3⋊C4—31no—
1087Dic3⋊C4—31no—
1088Dic3⋊C4—31no—
1089Dic3⋊C4—31no—
1090Dic3⋊C4—31no—
1091Dic3⋊C4—31no—
1092Dic3⋊C4—31no—
1093Dic3⋊C4—31no—
1094Dic3⋊C4—31no—
1095Dic3⋊C4—31no—
1096Dic3⋊C4—31no—
1097Dic3⋊C4—31no—
1098Dic3⋊C4—31no—
1099Dic3⋊C4—31no—
1100Dic3⋊C4—31no—
1101Dic3⋊C4—31no—
1102Dic3⋊C4—31no—
1103Dic3⋊C4—31no—
1104Dic3⋊C4—31no—
1105Dic3⋊C4—31no—
1106Dic3⋊C4—31no—
1107Dic3⋊C4—31no—
1108Dic3⋊C4—31no—
1109Dic3⋊C4—31no—
1110Dic3⋊C4—31no—
1111Dic3⋊C4—31no—
1112Dic3⋊C4—31no—
1113Dic3⋊C4—31no—
1114Dic3⋊C4—31no—
1115Dic3⋊C4—31no—
1116Dic3⋊C4—31no—
1117Dic3⋊C4—31no—
1118Dic3⋊C4—31no—
1119Dic3⋊C4—31no—
1120Dic3⋊C4—31no—
1121Dic3⋊C4—61no—
1122Dic3⋊C4—61no—
1123Dic3⋊C4—61no—
1124Dic3⋊C4—61no—
1125Dic3⋊C4—61no—
1126Dic3⋊C4C22×D311yescharacteristic
1127Dic3⋊C4C22×D311yescharacteristic
1128Dic3⋊C4C22×D311yescharacteristic
1129Dic3⋊C4C22×D311yescharacteristic
1130Dic3⋊C4C22×D311yescharacteristic
1131Dic3⋊C4C22×D311yescharacteristic
1132Dic3⋊C4C22×D311yescharacteristic
1133Dic3⋊C4C22×D311yescharacteristic
1134Dic3⋊C4C22×D311yescharacteristic
1135Dic3⋊C4C22×D311yescharacteristic
1136Dic3⋊C4C22×D311yescharacteristic
1137Dic3⋊C4C22×D311yescharacteristic
1138Dic3⋊C4C22×D311yescharacteristic
1139Dic3⋊C4C22×D311yescharacteristic
1140Dic3⋊C4C22×D311yescharacteristic
1141Dic3⋊C4C22×D311yescharacteristic
1142Dic3⋊C4C22×D311yescharacteristic
1143Dic3⋊C4C22×D311yescharacteristic
1144Dic3⋊C4C22×D311yescharacteristic
1145C4×Dic3—31no—
1146C4×Dic3—31no—
1147C4×Dic3—31no—
1148C4×Dic3—31no—
1149C4×Dic3—31no—
1150C4×Dic3—31no—
1151C4×Dic3—31no—
1152C4×Dic3—31no—
1153C4×Dic3—31no—
1154C4×Dic3—31no—
1155C4×Dic3—31no—
1156C4×Dic3—31no—
1157C4×Dic3—31no—
1158C4×Dic3—31no—
1159C4×Dic3—31no—
1160C4×Dic3—31no—
1161C4×Dic3—31no—
1162C4×Dic3—31no—
1163C4×Dic3—61no—
1164C4×Dic3C22×D311yescharacteristic
1165C4×Dic3C22×D311yescharacteristic
1166C4×Dic3C22×D311yescharacteristic
1167C4×Dic3C22×D311yescharacteristic
1168C4×Dic3C22×D311yescharacteristic
1169C4×Dic3C22×D311yescharacteristic
1170C4×Dic3C22×D311yescharacteristic
1171C4×Dic3C22×D311yescharacteristic
1172C4×Dic3C22×D311yescharacteristic
1173C4×Dic3C22×D311yescharacteristic
1174C4×Dic3C22×D311yescharacteristic
1175C22×C32—21no—
1176C22×C32—21no—
1177C22×C32—21no—
1178C22×C32C2511yescharacteristic
1179C2×C3⋊D3—21no—
1180C2×C3⋊D3—21no—
1181C2×C3⋊D3—21no—
1182C2×C3⋊D3—21no—
1183C2×C3⋊D3—21no—
1184C2×C3⋊D3—21no—
1185C2×C3⋊D3—21no—
1186C2×C3⋊D3—21no—
1187C2×C3⋊D3—21no—
1188C2×C3×D3—21no—
1189C2×C3×D3—21no—
1190C2×C3×D3—21no—
1191C32×C4—21no—
1192C32×C4—21no—
1193C32×C4—21no—
1194C32×C4—21no—
1195C32×C4—21no—
1196C32×C4—21no—
1197C3⋊Dic3—21no—
1198C3⋊Dic3—21no—
1199C3⋊Dic3—21no—
1200C3⋊Dic3—21no—
1201C3⋊Dic3—21no—
1202C3×Dic3—21no—
1203C3×Dic3—21no—
1204C3×Dic3—21no—
1205C3×Dic3—21no—
1206C3×Dic3—21no—
1207C3×Dic3—21no—
1208C3×Dic3—21no—
1209C3×Dic3—21no—
1210C3×Dic3—21no—
1211C3×Dic3—21no—
1212C3×Dic3—21no—
1213C3×Dic3—21no—
1214C3×Dic3—21no—
1215C3×Dic3—21no—
1216C3×Dic32−1+412yes—
1217C4⋊Q8—31no—
1218C4⋊Q8—31no—
1219C4⋊Q8—31no—
1220C4⋊Q8—31no—
1221C4⋊Q8—91no—
1222C4⋊Q8—91no—
1223C4⋊Q8—91no—
1224C4⋊Q8—91no—
1225C4⋊Q8—91no—
1226C4⋊Q8—91no—
1227#126—31no—
1228#126—31no—
1229#126—31no—
1230#126—31no—
1231#126—91no—
1232#126—91no—
1233#126—91no—
1234#126—91no—
1235#126—91no—
1236#126—91no—
1237#126—91no—
1238#126—91no—
1239#126—91no—
1240#126—91no—
1241#126—91no—
1242#126—91no—
1243#126—91no—
1244#126—91no—
1245#126—91no—
1246#126—91no—
1247#125—31no—
1248#125—31no—
1249#125—31no—
1250#125—31no—
1251#125—91no—
1252#125—91no—
1253#125—91no—
1254#125—91no—
1255#125—91no—
1256#125—91no—
1257#125—91no—
1258#125—91no—
1259#125—91no—
1260#125—91no—
1261#125—91no—
1262#125—91no—
1263#125—91no—
1264#125—91no—
1265#125—91no—
1266#125—91no—
1267#124—31no—
1268#124—91no—
1269#124—91no—
1270#124—91no—
1271#124—91no—
1272#124—91no—
1273#124—91no—
1274#124—91no—
1275#124—91no—
1276#124—91no—
1277#123—31no—
1278#123—31no—
1279#123—91no—
1280#123—91no—
1281#123—91no—
1282#123—91no—
1283#123—91no—
1284#123—91no—
1285#123—91no—
1286#123—91no—
1287#123—91no—
1288#123—91no—
1289#123—91no—
1290#123—91no—
1291#123—91no—
1292#123—91no—
1293#123—91no—
1294#123—91no—
1295#123—91no—
1296#123—91no—
1297C22⋊Q8—31no—
1298C22⋊Q8—31no—
1299C22⋊Q8—31no—
1300C22⋊Q8—31no—
1301C22⋊Q8—31no—
1302C22⋊Q8—31no—
1303C22⋊Q8—91no—
1304C22⋊Q8—91no—
1305C22⋊Q8—91no—
1306C22⋊Q8—91no—
1307C22⋊Q8—91no—
1308C22⋊Q8—91no—
1309C22⋊Q8—91no—
1310C22⋊Q8—91no—
1311C22⋊Q8—91no—
1312C22⋊Q8—91no—
1313C22⋊Q8—91no—
1314C22⋊Q8—91no—
1315C22⋊Q8—91no—
1316C22⋊Q8—91no—
1317C22⋊Q8—91no—
1318C22⋊Q8—91no—
1319C22⋊Q8—91no—
1320C22⋊Q8—91no—
1321C22⋊Q8—91no—
1322C22⋊Q8—91no—
1323C22⋊Q8—91no—
1324C22⋊Q8—91no—
1325C22⋊Q8—91no—
1326C22⋊Q8D3211yescharacteristic
1327#121—91no—
1328#121—91no—
1329#121—91no—
1330#121—91no—
1331#121—91no—
1332#121—91no—
1333#121—91no—
1334#121—91no—
1335#121—91no—
1336#121—91no—
1337C4×Q8—31no—
1338C4×Q8—31no—
1339C4×Q8—31no—
1340C4×Q8—31no—
1341C4×Q8—91no—
1342C4×Q8—91no—
1343C4×Q8—91no—
1344C4×Q8—91no—
1345C4×Q8—91no—
1346C4×Q8—91no—
1347C4×D4—91no—
1348C4×D4—91no—
1349C4×D4—91no—
1350C4×D4—91no—
1351C4×D4—91no—
1352C4×D4—91no—
1353C4×D4—91no—
1354C4×D4—91no—
1355C4×D4—91no—
1356C4×D4—91no—
1357#117—31no—
1358#117—31no—
1359#117—91no—
1360#117—91no—
1361#117—91no—
1362#117—91no—
1363#117—91no—
1364#117—91no—
1365#117—91no—
1366#117—91no—
1367C2×C42—31no—
1368C2×C42—91no—
1369C2×C42—91no—
1370C2×C42—91no—
1371C2×C42—91no—
1372C23×C3—21no—
1373C23×C3—31no—
1374C23×C3C23×D311yescharacteristic
1375C23×C3C23×D311yescharacteristic
1376C22×D3—31no—
1377C22×D3—31no—
1378C22×D3—31no—
1379C22×D3—31no—
1380C22×D3—31no—
1381C22×D3—31no—
1382C22×D3—61no—
1383C22×D3—61no—
1384C22×D3—61no—
1385C22×D3C23×D311yescharacteristic
1386C3×Q8—41no—
1387C3×Q8—41no—
1388C3×Q8—81no—
1389C3×Q8—121no—
1390C3×Q8—121no—
1391C3×Q8—121no—
1392C3×Q8—121no—
1393C3×Q8—121no—
1394C3×D4—121no—
1395C2×C3×C4—21no—
1396C2×C3×C4—21no—
1397C2×C3×C4—21no—
1398C2×C3×C4—21no—
1399C2×C3×C4—21no—
1400C2×C3×C4—21no—
1401C2×C3×C4—31no—
1402C2×C3×C4—31no—
1403C2×C3×C4—31no—
1404C2×C3×C4—31no—
1405C2×C3×C4—31no—
1406C2×C3×C4—31no—
1407C2×C3×C4—31no—
1408C2×C3×C4—31no—
1409C2×C3×C4—31no—
1410C2×C3×C4—31no—
1411C2×C3×C4—31no—
1412C2×C3×C4—31no—
1413C2×C3×C4—31no—
1414C2×C3×C4—31no—
1415C2×C3×C4—31no—
1416C2×C3×C4—41no—
1417C2×C3×C4—41no—
1418C2×C3×C4—62no—
1419C2×C3×C4—81no—
1420C2×C3×C4—121no—
1421C2×C3×C4—121no—
1422C2×C3×C4C23×D311yescharacteristic
1423C2×C3×C4C23×D311yescharacteristic
1424C2×C3×C4C23×D311yescharacteristic
1425C2×C3×C4C23×D311yescharacteristic
1426C2×C3×C4C23×D311yescharacteristic
1427C2×C3×C4C23×D311yescharacteristic
1428C2×C3×C4C23×D311yescharacteristic
1429C2×C3×C4C23×D311yescharacteristic
1430C2×C3×C4C23×D311yescharacteristic
1431C2×C3×C4C23×D311yescharacteristic
1432C2×C3×C4C23×D311yescharacteristic
1433C2×C3×C4C23×D311yescharacteristic
1434#67—41no—
1435#67—121no—
1436#67—121no—
1437#67—121no—
1438#67—121no—
1439#67—121no—
1440#67—121no—
1441#67—121no—
1442#67—121no—
1443#67—121no—
1444#67—241no—
1445#67—241no—
1446#67—241no—
1447C2×Dic3—22no—
1448C2×Dic3—31no—
1449C2×Dic3—31no—
1450C2×Dic3—31no—
1451C2×Dic3—31no—
1452C2×Dic3—31no—
1453C2×Dic3—31no—
1454C2×Dic3—31no—
1455C2×Dic3—31no—
1456C2×Dic3—31no—
1457C2×Dic3—31no—
1458C2×Dic3—41no—
1459C2×Dic3—61no—
1460C2×Dic3—61no—
1461C2×Dic3—61no—
1462C2×Dic3—61no—
1463C2×Dic3—61no—
1464C2×Dic3—62no—
1465C2×Dic3—121no—
1466C2×Dic3C23×D311yescharacteristic
1467C2×Dic3C23×D311yescharacteristic
1468C2×Dic3C23×D311yescharacteristic
1469C2×Dic3C23×D311yescharacteristic
1470C2×Dic3C23×D311yescharacteristic
1471C2×Dic3C23×D311yescharacteristic
1472C2×Dic3C23×D311yescharacteristic
1473C2×Dic3C23×D311yescharacteristic
1474C2×Dic3C23×D311yescharacteristic
1475C2×Dic3C23×D311yescharacteristic
1476C2×Dic3C23×D311yescharacteristic
1477C2×Dic3C23×D311yescharacteristic
1478C2×Dic3C23×D311yescharacteristic
1479C2×Dic3C23×D311yescharacteristic
1480C2×Dic3C23×D311yescharacteristic
1481D12—121no—
1482D12—121no—
1483D12—121no—
1484D12—121no—
1485D12—121no—
1486D12—121no—
1487D12—121no—
1488D12—121no—
1489D12—121no—
1490D12—241no—
1491D12—241no—
1492D12—241no—
1493C4×D3—41no—
1494C4×D3—62no—
1495C4×D3—62no—
1496C4×D3—62no—
1497C4×D3—62no—
1498C4×D3—62no—
1499C4×D3—62no—
1500C4×D3—62no—
1501C4×D3—121no—
1502C4×D3—121no—
1503C4×D3—121no—
1504C4×D3—121no—
1505C4×D3—121no—
1506C4×D3—121no—
1507C4×D3—121no—
1508C4×D3—121no—
1509C4×D3—121no—
1510C4×D3—121no—
1511C4×D3—121no—
1512C4×D3—121no—
1513C4×D3—121no—
1514C4×D3—241no—
1515C4×D3—241no—
1516C4×D3—241no—
1517Dic6—41no—
1518Dic6—41no—
1519Dic6—41no—
1520Dic6—41no—
1521Dic6—41no—
1522Dic6—121no—
1523Dic6—121no—
1524Dic6—121no—
1525Dic6—121no—
1526Dic6—121no—
1527Dic6—121no—
1528Dic6—121no—
1529Dic6—121no—
1530Dic6—241no—
1531C2×C32—41no—
1532C2×C32C2×2−1+411yescharacteristic
1533C2×C32#58511yescharacteristic
1534C2×C32#58511yescharacteristic
1535C3⋊D3—41no—
1536C3⋊D3—41no—
1537C3⋊D3—41no—
1538C3×D3—41no—
1539C2×Q8—31no—
1540C2×Q8—31no—
1541C2×Q8—31no—
1542C2×Q8—31no—
1543C2×Q8—31no—
1544C2×Q8—91no—
1545C2×Q8—91no—
1546C2×Q8—91no—
1547C2×Q8—91no—
1548C2×Q8C2×D3211yescharacteristic
1549C2×D4—31no—
1550C2×D4—91no—
1551C2×D4—91no—
1552C2×D4—91no—
1553C2×D4—91no—
1554C2×D4—91no—
1555C2×D4—91no—
1556C2×D4—91no—
1557C2×D4—91no—
1558C2×D4—91no—
1559C22×C4—31no—
1560C22×C4—31no—
1561C22×C4—31no—
1562C22×C4—91no—
1563C22×C4—91no—
1564C22×C4—91no—
1565C22×C4—91no—
1566C22×C4—91no—
1567C22×C4—91no—
1568C22×C4—91no—
1569C22×C4—91no—
1570C22×C4—91no—
1571C22×C4—91no—
1572C22×C4—91no—
1573C22×C4C2×D3211yescharacteristic
1574C4⋊C4—31no—
1575C4⋊C4—31no—
1576C4⋊C4—31no—
1577C4⋊C4—31no—
1578C4⋊C4—31no—
1579C4⋊C4—31no—
1580C4⋊C4—31no—
1581C4⋊C4—31no—
1582C4⋊C4—31no—
1583C4⋊C4—31no—
1584C4⋊C4—31no—
1585C4⋊C4—31no—
1586C4⋊C4—31no—
1587C4⋊C4—31no—
1588C4⋊C4—31no—
1589C4⋊C4—31no—
1590C4⋊C4—31no—
1591C4⋊C4—31no—
1592C4⋊C4—31no—
1593C4⋊C4—31no—
1594C4⋊C4—31no—
1595C4⋊C4—31no—
1596C4⋊C4—31no—
1597C4⋊C4—31no—
1598C4⋊C4—31no—
1599C4⋊C4—31no—
1600C4⋊C4—91no—
1601C4⋊C4—91no—
1602C4⋊C4—91no—
1603C4⋊C4—91no—
1604C4⋊C4—91no—
1605C4⋊C4—91no—
1606C4⋊C4—91no—
1607C4⋊C4—91no—
1608C4⋊C4—91no—
1609C4⋊C4—91no—
1610C4⋊C4—91no—
1611C4⋊C4—91no—
1612C4⋊C4—91no—
1613C4⋊C4—91no—
1614C4⋊C4—91no—
1615C4⋊C4—91no—
1616C4⋊C4—91no—
1617C4⋊C4—91no—
1618C4⋊C4—91no—
1619C4⋊C4—91no—
1620C4⋊C4—91no—
1621C4⋊C4—91no—
1622C4⋊C4—91no—
1623C4⋊C4—91no—
1624C4⋊C4—91no—
1625C4⋊C4—91no—
1626C4⋊C4—91no—
1627C4⋊C4—91no—
1628C4⋊C4—91no—
1629C4⋊C4—91no—
1630C4⋊C4—91no—
1631C4⋊C4C2×D3211yescharacteristic
1632C4⋊C4C2×D3211yescharacteristic
1633C4⋊C4C2×D3211yescharacteristic
1634C22⋊C4—31no—
1635C22⋊C4—31no—
1636C22⋊C4—31no—
1637C22⋊C4—31no—
1638C22⋊C4—31no—
1639C22⋊C4—31no—
1640C22⋊C4—31no—
1641C22⋊C4—31no—
1642C22⋊C4—31no—
1643C22⋊C4—31no—
1644C22⋊C4—91no—
1645C22⋊C4—91no—
1646C22⋊C4—91no—
1647C22⋊C4—91no—
1648C22⋊C4—91no—
1649C22⋊C4—91no—
1650C22⋊C4—91no—
1651C22⋊C4—91no—
1652C22⋊C4—91no—
1653C22⋊C4—91no—
1654C22⋊C4—91no—
1655C22⋊C4—91no—
1656C22⋊C4—91no—
1657C22⋊C4—91no—
1658C22⋊C4—91no—
1659C22⋊C4—91no—
1660C22⋊C4—91no—
1661C22⋊C4—91no—
1662C22⋊C4—91no—
1663C22⋊C4—91no—
1664C22⋊C4—91no—
1665C22⋊C4—91no—
1666C22⋊C4—91no—
1667C22⋊C4—91no—
1668C22⋊C4—91no—
1669C22⋊C4—91no—
1670C22⋊C4—91no—
1671C22⋊C4—91no—
1672C22⋊C4C2×D3211yescharacteristic
1673C22⋊C4C2×D3211yescharacteristic
1674C42—31no—
1675C42—31no—
1676C42—31no—
1677C42—31no—
1678C42—31no—
1679C42—31no—
1680C42—31no—
1681C42—31no—
1682C42—31no—
1683C42—31no—
1684C42—31no—
1685C42—91no—
1686C42—91no—
1687C42—91no—
1688C42—91no—
1689C42—91no—
1690C42—91no—
1691C42—91no—
1692C42—91no—
1693C42—91no—
1694C22×C3—21no—
1695C22×C3—21no—
1696C22×C3—21no—
1697C22×C3—21no—
1698C22×C3—21no—
1699C22×C3—21no—
1700C22×C3—21no—
1701C22×C3—41no—
1702C22×C3—41no—
1703C22×C3—41no—
1704C22×C3—61no—
1705C22×C3—61no—
1706C22×C3—61no—
1707C22×C3C24×D311yescharacteristic
1708C22×C3C24×D311yescharacteristic
1709C2×D3—21no—
1710C2×D3—21no—
1711C2×D3—21no—
1712C2×D3—61no—
1713C2×D3—61no—
1714C2×D3—61no—
1715C2×D3—61no—
1716C2×D3—61no—
1717C2×D3—61no—
1718C2×D3—61no—
1719C2×D3—61no—
1720C2×D3—61no—
1721C2×D3—61no—
1722C2×D3—61no—
1723C2×D3—61no—
1724C2×D3—61no—
1725C2×D3—61no—
1726C2×D3—61no—
1727C2×D3—61no—
1728C2×D3—61no—
1729C2×D3—61no—
1730C2×D3—121no—
1731C2×D3—121no—
1732C2×D3—121no—
1733C2×D3—121no—
1734C2×D3—121no—
1735C2×D3—121no—
1736C2×D3—121no—
1737C2×D3—121no—
1738C2×D3—121no—
1739C3×C4—21no—
1740C3×C4—21no—
1741C3×C4—21no—
1742C3×C4—21no—
1743C3×C4—21no—
1744C3×C4—21no—
1745C3×C4—21no—
1746C3×C4—21no—
1747C3×C4—21no—
1748C3×C4—21no—
1749C3×C4—21no—
1750C3×C4—21no—
1751C3×C4—32no—
1752C3×C4—41no—
1753C3×C4—41no—
1754C3×C4—41no—
1755C3×C4—41no—
1756C3×C4—41no—
1757C3×C4—41no—
1758C3×C4—61no—
1759C3×C4—61no—
1760C3×C4—61no—
1761C3×C4—61no—
1762C3×C4—61no—
1763C3×C4—61no—
1764C3×C4—61no—
1765C3×C4—61no—
1766C3×C4—61no—
1767C3×C4—61no—
1768C3×C4—61no—
1769C3×C4—61no—
1770C3×C4—61no—
1771C3×C4—61no—
1772Dic3—21no—
1773Dic3—21no—
1774Dic3—21no—
1775Dic3—21no—
1776Dic3—21no—
1777Dic3—21no—
1778Dic3—21no—
1779Dic3—21no—
1780Dic3—21no—
1781Dic3—21no—
1782Dic3—21no—
1783Dic3—21no—
1784Dic3—21no—
1785Dic3—21no—
1786Dic3—61no—
1787Dic3—61no—
1788Dic3—61no—
1789Dic3—61no—
1790Dic3—61no—
1791Dic3—61no—
1792Dic3—61no—
1793Dic3—61no—
1794Dic3—61no—
1795Dic3—61no—
1796Dic3—121no—
1797Dic3—121no—
1798Dic3—121no—
1799Dic3—121no—
1800Dic3—121no—
1801Dic3#100712yes—
1802C32#353111yescharacteristic, complemented, Sylow
1803C23—31no—
1804C23—91no—
1805C23—91no—
1806C23—91no—
1807C23C22×D3211yescharacteristic
1808Q8—41no—
1809Q8—121no—
1810Q8—121no—
1811Q8—121no—
1812Q8—121no—
1813Q8—121no—
1814Q8—361no—
1815Q8—361no—
1816Q8—361no—
1817Q8—361no—
1818D4—121no—
1819D4—361no—
1820D4—361no—
1821D4—361no—
1822D4—361no—
1823D4—361no—
1824D4—361no—
1825D4—361no—
1826D4—361no—
1827D4—361no—
1828C2×C4—31no—
1829C2×C4—31no—
1830C2×C4—31no—
1831C2×C4—31no—
1832C2×C4—31no—
1833C2×C4—31no—
1834C2×C4—31no—
1835C2×C4—31no—
1836C2×C4—31no—
1837C2×C4—31no—
1838C2×C4—31no—
1839C2×C4—31no—
1840C2×C4—31no—
1841C2×C4—31no—
1842C2×C4—31no—
1843C2×C4—41no—
1844C2×C4—62no—
1845C2×C4—91no—
1846C2×C4—91no—
1847C2×C4—91no—
1848C2×C4—91no—
1849C2×C4—91no—
1850C2×C4—121no—
1851C2×C4—121no—
1852C2×C4—182no—
1853C2×C4—182no—
1854C2×C4—182no—
1855C2×C4—182no—
1856C2×C4—361no—
1857C2×C4—361no—
1858C2×C4—361no—
1859C2×C4—361no—
1860C2×C4—361no—
1861C2×C4—361no—
1862C2×C4—361no—
1863C2×C4C22×D3211yescharacteristic
1864C2×C4C22×D3211yescharacteristic
1865C2×C4C22×D3211yescharacteristic
1866C2×C4C22×D3211yescharacteristic
1867C2×C4C22×D3211yescharacteristic
1868C2×C4C22×D3211yescharacteristic
1869C2×C3—21no—
1870C2×C3—21no—
1871C2×C3—21no—
1872C2×C3—41no—
1873C2×C3—41no—
1874C2×C3—81no—
1875C2×C3—121no—
1876C2×C3C2×#100711yescharacteristic
1877C2×C3#596411yescharacteristic
1878C2×C3#596411yescharacteristic
1879C2×C3#596611yescharacteristic
1880C2×C3D3×2−1+411yescharacteristic
1881C2×C3#596811yescharacteristic
1882D3—41no—
1883D3—121no—
1884D3—121no—
1885D3—121no—
1886D3—121no—
1887D3—121no—
1888D3—121no—
1889D3—241no—
1890D3—241no—
1891D3—241no—
1892C22—21no—
1893C22—21no—
1894C22—21no—
1895C22—61no—
1896C22—61no—
1897C22—61no—
1898C22—181no—
1899C22—181no—
1900C22—181no—
1901C22—181no—
1902C22—181no—
1903C22—181no—
1904C22—181no—
1905C22—181no—
1906C22—181no—
1907C22C23×D3211yescharacteristic
1908C4—21no—
1909C4—21no—
1910C4—21no—
1911C4—21no—
1912C4—21no—
1913C4—21no—
1914C4—32no—
1915C4—61no—
1916C4—61no—
1917C4—61no—
1918C4—61no—
1919C4—61no—
1920C4—61no—
1921C4—61no—
1922C4—61no—
1923C4—61no—
1924C4—61no—
1925C4—61no—
1926C4—61no—
1927C4—61no—
1928C4—61no—
1929C4—181no—
1930C4—181no—
1931C4—181no—
1932C4—181no—
1933C4—181no—
1934C3—21no—
1935C3#8628611yescharacteristic, complemented
1936C3#8711611yescharacteristic, complemented
1937C2—41no—
1938C2—121no—
1939C2—361no—
1940C2—361no—
1941C2—361no—
1942C2#1059667811yescharacteristic
1943C2D3×#100711yescharacteristic
1944C2#1059669711yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C22⋊Q8C22
hypercenterC22⋊Q8D32
hypocenterC32#3531
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. #10596118C2semidirect
2. C3×#5646C2semidirect
3. C3×#5622C2semidirect
4. #10595376C2semidirect
5. #10595374C2semidirect
6. #10595352C2semidirect
7. #10595345C2semidirect
8. #10594978C2semidirect
9. #10594955C2semidirect
10. #10594948C2semidirect
11. #10594811C2semidirect
12. #10594593C2semidirect
13. #10594504C2semidirect
14. #10594503C2semidirect
15. #10594464C2semidirect
16. #10594423C2semidirect
17. #10594423C2semidirect
18. #10594398C2semidirect
19. #10594397C2semidirect
20. #10594386C2semidirect
21. #10594353C2semidirect
22. #10594353C2semidirect
23. #10594326C2semidirect
24. #10594251C2semidirect
25. #10594178C2semidirect
26. #10594106C2semidirect
27. #10594106C2semidirect
28. #10594099C2semidirect
29. #10594088C2semidirect
30. #10594043C2semidirect
31. #10594034C2semidirect
233. #5646D3semidirect
237. #5622D3semidirect
1802. C32#3531semidirect
1935. C3#86286semidirect
1936. C3#87116semidirect

Maximal subgroups

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

subgroupindex
#105961182
C3×#56462
C3×#56222
#105953762
#105953742
#105953522
#105953452
#105949782
#105949552
#105949482
#105948112
#105945932
#105945042
#105945032
#105944642
#105944232
#105943982
#105943972
#105943862
#105943532
#105943262
#105942512
#105941782
#105941062
#105940992
#105940882
#105940432
#105940342
#871163
#862863