Finite Group Databasebeta

← #11692239

Subgroups — #11692239

Order 768.

1684 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86943C211yesmaximal, characteristic, complemented
2#86722C211yesmaximal, characteristic
3C3×#3316C211yesmaximal, characteristic, complemented
4#83622C211yesmaximal, characteristic, complemented
5#83534C211yesmaximal, characteristic, complemented
6#81695C211yesmaximal, characteristic, complemented
7#81673C211yesmaximal, characteristic, complemented
8#81437C211yesmaximal, characteristic, complemented
9#81423C211yesmaximal, characteristic, complemented
10#81320C211yesmaximal, characteristic, complemented
11#81319C211yesmaximal, characteristic, complemented
12#81043C211yesmaximal, characteristic, complemented
13#81014C211yesmaximal, characteristic, complemented
14#80919C211yesmaximal, characteristic, complemented
15#80897C211yesmaximal, characteristic, complemented
16#80651C211yesmaximal, characteristic, complemented
17#80640C211yesmaximal, characteristic, complemented
18#80583C211yesmaximal, characteristic, complemented
19#80579C211yesmaximal, characteristic, complemented
20#80256C211yesmaximal, characteristic, complemented
21#80217C211yesmaximal, characteristic, complemented
22#80194C211yesmaximal, characteristic, complemented
23#80174C211yesmaximal, characteristic, complemented
24#79849C211yesmaximal, characteristic, complemented
25#79819C211yesmaximal, characteristic, complemented
26#79469C211yesmaximal, characteristic, complemented
27#79463C211yesmaximal, characteristic, complemented
28#78901C211yesmaximal, characteristic, complemented
29#78873C211yesmaximal, characteristic, complemented
30#78811C211yesmaximal, characteristic, complemented
31C2×#4796C211yesmaximal, characteristic, complemented
32#62169—31nomaximal, Sylow
33C3×#554C2211yescharacteristic
34C3×#548C2211yescharacteristic
35#5834C2211yescharacteristic
36#5827C2211yescharacteristic
37#5817C2211yescharacteristic
38C2×Q8×Dic3C2211yescharacteristic
39#5729C2211yescharacteristic
40#5721C2211yescharacteristic
41#5696—21no—
42C3⋊#564—21no—
43#5682—21no—
44#5682C2211yescharacteristic
45#5681—21no—
46#5681C2211yescharacteristic
47#5646—21no—
48#5643—21no—
49#5643C2211yescharacteristic
50#5642—21no—
51#5642C2211yescharacteristic
52#5639C2211yescharacteristic
53#5635—21no—
54#5635C2211yescharacteristic
55#5625—21no—
56#5625C2211yescharacteristic
57#5623—21no—
58#5622C2211yescharacteristic
59#5611—21no—
60#5611C2211yescharacteristic
61#5596—21no—
62#5596C2211yescharacteristic
63#5583C2211yescharacteristic
64#5574C2211yescharacteristic
65#5569C2211yescharacteristic
66Q8×Dic6C2211yescharacteristic
67#5564—21no—
68#5555—21no—
69#5555C2211yescharacteristic
70#5541—21no—
71#5541C2211yescharacteristic
72#5538—21no—
73#5538C2211yescharacteristic
74#5513C2211yescharacteristic
75#5511C2211yescharacteristic
76#5500C2211yescharacteristic
77C2×#890C2211yescharacteristic
78C3×#489C2211yescharacteristic
79C3×#483C2211yescharacteristic
80C3×#481C2211yescharacteristic
81C3×#475C2211yescharacteristic
82C3×#470C2211yescharacteristic
83C3×#465C2211yescharacteristic
84C3×#464C2211yescharacteristic
85C3×#452C2211yescharacteristic
86C3×#451C2211yescharacteristic
87C3×#441C2211yescharacteristic
88C3×#435C2211yescharacteristic
89C3×#417C2211yescharacteristic
90C2×C3×#103C2211yescharacteristic
91#5239C2211yescharacteristic
92#5233C2211yescharacteristic
93#5228C2211yescharacteristic
94C2×#835C2211yescharacteristic
95#5188C2211yescharacteristic
96#5187C2211yescharacteristic
97#5185C2211yescharacteristic
98#5184C2211yescharacteristic
99#5184C2211yescharacteristic
100#5182C2211yescharacteristic
101#5182C2211yescharacteristic
102Dic3×Q16C2211yescharacteristic
103#5174C2211yescharacteristic
104#5164C2211yescharacteristic
105#5163C2211yescharacteristic
106#5162C2211yescharacteristic
107#5134C2211yescharacteristic
108#5127C2211yescharacteristic
109#5121C2211yescharacteristic
110#5119C2211yescharacteristic
111#5114C2211yescharacteristic
112#5111C2211yescharacteristic
113C2×#818C2211yescharacteristic
114C2×Dic3⋊C8C2211yescharacteristic
115#5084C2211yescharacteristic
116#5080C2211yescharacteristic
117#5056C2211yescharacteristic
118#5054C2211yescharacteristic
119#5051C2211yescharacteristic
120#5048C2211yescharacteristic
121#5048C2211yescharacteristic
122#5045C2211yescharacteristic
123#5043C2211yescharacteristic
124#5043C2211yescharacteristic
125#5041C2211yescharacteristic
126#5033C2211yescharacteristic
127C4×#216C2211yescharacteristic
128C4×#215C2211yescharacteristic
129#5022C2211yescharacteristic
130#5020C2211yescharacteristic
131D4×C3⋊C8C2211yescharacteristic
132#4968C2211yescharacteristic
133#4968C2211yescharacteristic
134C2×#808C2211yescharacteristic
135C2×#808C2211yescharacteristic
136#4871C2211yescharacteristic
137#4871C2211yescharacteristic
138#4870C2211yescharacteristic
139#4862C2211yescharacteristic
140#4861C2211yescharacteristic
141D3×#106C2211yescharacteristic
142#4856C2211yescharacteristic
143#4856C2211yescharacteristic
144#4856C2211yescharacteristic
145#4855C2211yescharacteristic
146#4854C2211yescharacteristic
147#4854C2211yescharacteristic
148#4850C2211yescharacteristic
149#4847C2211yescharacteristic
150#4839C2211yescharacteristic
151#4831C2211yescharacteristic
152#4818C2211yescharacteristic
153#4816C2211yescharacteristic
154#4814C2211yescharacteristic
155#4811C2211yescharacteristic
156#4808C2211yescharacteristic
157#4805C2211yescharacteristic
158#4804C2211yescharacteristic
159#4803C2211yescharacteristic
160#4800C2211yescharacteristic
161#4798C2211yescharacteristic
162#4796C2211yescharacteristic
163#4796C2211yescharacteristic
164#4796C2211yescharacteristic
165#4796C2211yescharacteristic
166#4796C2211yescharacteristic
167#4796C2211yescharacteristic
168#4796C2211yescharacteristic
169#4796C2211yescharacteristic
170#4796C2211yescharacteristic
171#4794C2211yescharacteristic
172#4793C2211yescharacteristic
173#4791C2211yescharacteristic
174#4791C2211yescharacteristic
175#4791C2211yescharacteristic
176#4791C2211yescharacteristic
177#4789C2211yescharacteristic
178#4789C2211yescharacteristic
179#4789C2211yescharacteristic
180#4784C2211yescharacteristic
181#4778C2211yescharacteristic
182#4777C2211yescharacteristic
183#4766C2211yescharacteristic
184#4766C2211yescharacteristic
185#4766C2211yescharacteristic
186#4764C2211yescharacteristic
187#4764C2211yescharacteristic
188#4762C2211yescharacteristic
189#4761C2211yescharacteristic
190#4761C2211yescharacteristic
191#4758C2211yescharacteristic
192#4737C2211yescharacteristic
193#4736C2211yescharacteristic
194#4730C2211yescharacteristic
195#67⋊C8C2211yescharacteristic
196#4722C2211yescharacteristic
197#4721C2211yescharacteristic
198#4720C2211yescharacteristic
199#4719C2211yescharacteristic
200#4710C2211yescharacteristic
201#4709C2211yescharacteristic
202#4702C2211yescharacteristic
203#4701C2211yescharacteristic
204#3563—31no—
205#3522—31no—
206#3387—31no—
207#3387—31no—
208#3371—31no—
209#3371—31no—
210#3344—31no—
211#3344—31no—
212#3343—31no—
213#3343—31no—
214#3335—31no—
215#3335—31no—
216#3317—31no—
217#3317—31no—
218#3316—31no—
219#3316D311yescharacteristic, complemented
220#3300—31no—
221#3300—31no—
222#3258—31no—
223#3258—31no—
224#3246—31no—
225#3244—31no—
226#3244—31no—
227#3234—31no—
228#3120—31no—
229#3120—31no—
230#3113—31no—
231#3084—31no—
232#3084—31no—
233C2×#479—31no—
234#2992—31no—
235C2×C3×#41C2311yescharacteristic
236C22×C3×Q8C2311yescharacteristic
237C2×#239C2311yescharacteristic
238C2×#237—21no—
239C2×#237—21no—
240C2×#237—21no—
241C2×C3×Q16C2311yescharacteristic
242C2×C3×Q16C2311yescharacteristic
243C2×C3×SD16C2311yescharacteristic
244C2×C3×M16C2311yescharacteristic
245C22×C3×C8C2311yescharacteristic
246C3×C4⋊Q8C2311yescharacteristic
247C3×#125—21no—
248C3×#124—21no—
249C3×#124C2311yescharacteristic
250C3×C22⋊Q8—21no—
251C3×C22⋊Q8—21no—
252C3×C22⋊Q8—21no—
253C3×C22⋊Q8C2311yescharacteristic
254C3×C22⋊Q8C2311yescharacteristic
255C3×C22⋊Q8C2311yescharacteristic
256C3×#121—21no—
257C3×#121C2311yescharacteristic
258C3×C4×Q8C2311yescharacteristic
259C3×C4×Q8C2311yescharacteristic
260C3×C4×D4—21no—
261C3×C4×D4—21no—
262C3×C4×D4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265#947—21no—
266#947C2311yescharacteristic
267#946—21no—
268#946—21no—
269#946C2311yescharacteristic
270#946C2311yescharacteristic
271Q8×Dic3—21no—
272Q8×Dic3—21no—
273Q8×Dic3—21no—
274Q8×Dic3C2311yescharacteristic
275Q8×Dic3C2311yescharacteristic
276Q8×Dic3C2311yescharacteristic
277Q8×Dic3C2311yescharacteristic
278Q8×Dic3C2311yescharacteristic
279Q8×Dic3C2311yescharacteristic
280Q8×Dic3C2311yescharacteristic
281#944—21no—
282#944—21no—
283#944C2311yescharacteristic
284C2×#216C2311yescharacteristic
285C2×#216C2311yescharacteristic
286C2×#215C2311yescharacteristic
287#940—21no—
288#940C2311yescharacteristic
289#939—21no—
290#939D411yescharacteristic
291#938—21no—
292#938C2311yescharacteristic
293#935—21no—
294#935—21no—
295#935D411yescharacteristic
296D4×Dic3—21no—
297D4×Dic3—21no—
298D4×Dic3C2311yescharacteristic
299D4×Dic3C2311yescharacteristic
300C2×#214C2311yescharacteristic
301#930—21no—
302#930—21no—
303#930C2311yescharacteristic
304#930C2311yescharacteristic
305#929—21no—
306C4×#67—21no—
307C4×#67—21no—
308C4×#67—21no—
309C4×#67C2311yescharacteristic
310C4×#67C2311yescharacteristic
311#926—21no—
312#926—21no—
313#926C2311yescharacteristic
314#926C2311yescharacteristic
315C2×C4⋊Dic3—21no—
316C2×C4⋊Dic3—21no—
317C2×C4⋊Dic3—21no—
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321#924—21no—
322#924—21no—
323#924—21no—
324#924C2311yescharacteristic
325#924C2311yescharacteristic
326C2×Dic3⋊C4—21no—
327C2×C4×Dic3—21no—
328C2×C4×Dic3C2311yescharacteristic
329C22×C3⋊C8C2311yescharacteristic
330C22×C3⋊C8C2311yescharacteristic
331C2×#204C2311yescharacteristic
332C2×ΓL(1,𝔽25)C2311yescharacteristic
333C2×D3×C8C2311yescharacteristic
334#898—21no—
335#898—21no—
336#898—21no—
337#898—21no—
338#898D411yescharacteristic
339#897—21no—
340#897—21no—
341#897—21no—
342#897C2311yescharacteristic
343#896—21no—
344#896—21no—
345#893—21no—
346#893C2311yescharacteristic
347#892—21no—
348#892C2311yescharacteristic
349D3×C4⋊C4—21no—
350D3×C4⋊C4C2311yescharacteristic
351D3×C4⋊C4C2311yescharacteristic
352#890—21no—
353#890—21no—
354#890—21no—
355#890—21no—
356#890—21no—
357#890—21no—
358#890C2311yescharacteristic
359#890C2311yescharacteristic
360#890C2311yescharacteristic
361#890C2311yescharacteristic
362#890C2311yescharacteristic
363#889—21no—
364#889—21no—
365#889—21no—
366#889—21no—
367#889—21no—
368#889—21no—
369#889—21no—
370#889—21no—
371#889—21no—
372#889—21no—
373#889—21no—
374#889D411yescharacteristic
375#888—21no—
376#888—21no—
377#888—21no—
378#888—21no—
379#888C2311yescharacteristic
380#888C2311yescharacteristic
381#888C2311yescharacteristic
382#888C2311yescharacteristic
383#887—21no—
384#887C2311yescharacteristic
385#887C2311yescharacteristic
386#886—21no—
387#886—21no—
388#886—21no—
389#886—21no—
390#886—21no—
391#886D411yescharacteristic
392#885—21no—
393#885—21no—
394#885—21no—
395#885—21no—
396#885D411yescharacteristic
397#883—21no—
398#883—21no—
399#883—21no—
400#883—21no—
401#67⋊C4—21no—
402#67⋊C4—21no—
403#67⋊C4—21no—
404#879—21no—
405#879—21no—
406#879—21no—
407#879—21no—
408#879—21no—
409#879D411yescharacteristic
410#878—21no—
411#878—21no—
412#878—21no—
413#878—21no—
414#878D411yescharacteristic
415#877—21no—
416#877—21no—
417#877—21no—
418#876—21no—
419C4×D12—21no—
420C4×D12C2311yescharacteristic
421#872—21no—
422#872C2311yescharacteristic
423#870—21no—
424#870—21no—
425#870C2311yescharacteristic
426#869—21no—
427#869C2311yescharacteristic
428C4×Dic6—21no—
429C4×Dic6—21no—
430C4×Dic6C2311yescharacteristic
431C4×Dic6C2311yescharacteristic
432C3×#106C2311yescharacteristic
433C3×#106C2311yescharacteristic
434C3×#106C2311yescharacteristic
435C3×C4⋊C8C2311yescharacteristic
436C3×#103C2311yescharacteristic
437C3×#103C2311yescharacteristic
438C3×#103C2311yescharacteristic
439C3×#103C2311yescharacteristic
440C3×#103C2311yescharacteristic
441C3×#103C2311yescharacteristic
442C3×#103C2311yescharacteristic
443C3×#102C2311yescharacteristic
444C3×#102C2311yescharacteristic
445C3×#102C2311yescharacteristic
446C3×C22⋊C8C2311yescharacteristic
447C3×C22⋊C8C2311yescharacteristic
448C3×#97C2311yescharacteristic
449#835C2311yescharacteristic
450#835C2311yescharacteristic
451#835C2311yescharacteristic
452#835C2311yescharacteristic
453#835C2311yescharacteristic
454#835C2311yescharacteristic
455#835C2311yescharacteristic
456#835C2311yescharacteristic
457#835C2311yescharacteristic
458#832C2311yescharacteristic
459#832C2311yescharacteristic
460#832C2311yescharacteristic
461#830C2311yescharacteristic
462#830C2311yescharacteristic
463#821C2311yescharacteristic
464#821C2311yescharacteristic
465#821C2311yescharacteristic
466(C2×D3)⋊C8C2311yescharacteristic
467(C2×D3)⋊C8C2311yescharacteristic
468#818C2311yescharacteristic
469#818C2311yescharacteristic
470#818C2311yescharacteristic
471#818C2311yescharacteristic
472#818C2311yescharacteristic
473#818C2311yescharacteristic
474#817C2311yescharacteristic
475#817C2311yescharacteristic
476#817C2311yescharacteristic
477#816C2311yescharacteristic
478#816C2311yescharacteristic
479#816C2311yescharacteristic
480#815C2311yescharacteristic
481#815C2311yescharacteristic
482#815C2311yescharacteristic
483Dic3⋊C8C2311yescharacteristic
484Dic3⋊C8C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487Dic3⋊C8C2311yescharacteristic
488Dic3⋊C8C2311yescharacteristic
489Dic3⋊C8C2311yescharacteristic
490Dic3⋊C8C2311yescharacteristic
491C8×Dic3C2311yescharacteristic
492#810C2311yescharacteristic
493#809C2311yescharacteristic
494#809C2311yescharacteristic
495#809C2311yescharacteristic
496#808C2311yescharacteristic
497#808C2311yescharacteristic
498#808C2311yescharacteristic
499#808C2311yescharacteristic
500#808C2311yescharacteristic
501#808C2311yescharacteristic
502#808C2311yescharacteristic
503#808C2311yescharacteristic
504#808C2311yescharacteristic
505#808C2311yescharacteristic
506#807C2311yescharacteristic
507#807C2311yescharacteristic
508C4⋊(C3⋊C8)C2311yescharacteristic
509C4×C3⋊C8C2311yescharacteristic
510#564—61no—
511#563—61no—
512#559—31no—
513#559—61no—
514Q82—31no—
515#557—31no—
516#557—31no—
517#554—31no—
518#554—31no—
519#554—61no—
520#554C2×D311yescharacteristic
521#552—31no—
522#552—31no—
523#552—31no—
524#552—31no—
525#552—61no—
526#552—61no—
527#550—31no—
528#548—31no—
529#548C2×D311yescharacteristic
530#547—31no—
531#547—31no—
532#547—61no—
533#547—61no—
534#544—31no—
535#544—31no—
536#544—61no—
537#542—31no—
538#542—31no—
539#542—61no—
540#542—61no—
541#541—31no—
542#541—31no—
543#541—61no—
544#541—61no—
545#539—61no—
546#533—31no—
547#532—31no—
548#532—61no—
549#529—31no—
550#529—61no—
551C2×#125—31no—
552#520—31no—
553#520—31no—
554C2×C4×Q8—31no—
555#501—31no—
556#501—31no—
557#501—31no—
558#501—31no—
559#498—31no—
560#498—31no—
561#490—31no—
562#490—31no—
563#489—31no—
564#489C2×D311yescharacteristic
565#488—31no—
566#488—31no—
567#485—31no—
568#485—31no—
569#484—31no—
570#484—31no—
571#483—31no—
572#483—31no—
573#483—31no—
574#483—31no—
575#483—31no—
576#483C2×D311yescharacteristic
577#482—31no—
578#482—31no—
579#481—31no—
580#481—31no—
581#481—31no—
582#481C2×D311yescharacteristic
583#480—31no—
584#480—31no—
585#479—31no—
586#479—31no—
587#479—31no—
588#479—31no—
589#479—31no—
590#479—31no—
591#479—31no—
592#479—31no—
593#479—31no—
594#479—31no—
595#478—31no—
596#478—31no—
597#478—31no—
598#478—31no—
599#478—31no—
600#478—31no—
601#477—31no—
602#477—31no—
603#476—31no—
604#476—31no—
605#476—31no—
606#476—31no—
607#475—31no—
608#475—31no—
609#475—31no—
610#475—31no—
611#475—31no—
612#475—31no—
613#475—31no—
614#475C2×D311yescharacteristic
615#470—31no—
616#470C2×D311yescharacteristic
617#468—31no—
618#468—31no—
619#467—31no—
620#467—31no—
621#465—31no—
622#465—31no—
623#465—31no—
624#465—31no—
625#465—31no—
626#465C2×D311yescharacteristic
627#464—31no—
628#464—31no—
629#464—31no—
630#464C2×D311yescharacteristic
631#462—31no—
632#462—31no—
633#461—31no—
634#461—31no—
635#460—31no—
636#460—31no—
637#452—31no—
638#452—31no—
639#452—31no—
640#452C2×D311yescharacteristic
641#451—31no—
642#451C2×D311yescharacteristic
643#446—31no—
644#446—31no—
645#441—31no—
646#441—31no—
647#441—31no—
648#441—31no—
649#441—31no—
650#441C2×D311yescharacteristic
651#440—31no—
652#440—31no—
653C4×Q16—31no—
654C4×Q16—31no—
655C4×SD16—31no—
656C4×SD16—31no—
657#435—31no—
658#435—31no—
659#435—31no—
660#435C2×D311yescharacteristic
661C8×D4—31no—
662C8×D4—31no—
663#433—31no—
664#433—31no—
665#432—31no—
666#428—31no—
667#428—31no—
668C2×#107—31no—
669C2×#106—31no—
670C2×#106—31no—
671C2×#106—31no—
672#424—31no—
673#424—31no—
674C2×C4⋊C8—31no—
675#417—31no—
676#417C2×D311yescharacteristic
677#416—31no—
678#416—31no—
679C2×#103—31no—
680C2×#103C2×D311yescharacteristic
681C3×#41—22no—
682C3×#41—41no—
683C2×C3×Q8—21no—
684C2×C3×Q8—21no—
685C2×C3×Q8—22no—
686C2×C3×Q8—41no—
687C2×C3×Q8C2411yescharacteristic
688C2×C3×Q8C2411yescharacteristic
689C2×C3×Q8C2411yescharacteristic
690C2×C3×D4—21no—
691C2×C3×D4—21no—
692C2×C3×D4C2×D411yescharacteristic
693C2×C3×D4C2411yescharacteristic
694C22×C3×C4—21no—
695C22×C3×C4—21no—
696C22×C3×C4—21no—
697C22×C3×C4—21no—
698C22×C3×C4C2411yescharacteristic
699C22×C3×C4C2411yescharacteristic
700C2×#67—21no—
701C2×#67—21no—
702C2×#67—21no—
703C2×#67—21no—
704C2×#67—21no—
705C2×#67C2×D411yescharacteristic
706C2×#67C2×D411yescharacteristic
707C22×Dic3—21no—
708C22×Dic3—21no—
709C22×Dic3—21no—
710C22×Dic3—21no—
711C22×Dic3—21no—
712C22×Dic3C2×D411yescharacteristic
713C22×Dic3C2×D411yescharacteristic
714#239—22no—
715#239—41no—
716#237—82no—
717#237—82no—
718#237—82no—
719C2×D12—21no—
720C2×D12C2411yescharacteristic
721C2×C4×D3—21no—
722C2×C4×D3—21no—
723C2×C4×D3—21no—
724C2×C4×D3—21no—
725C2×C4×D3—21no—
726C2×C4×D3C2411yescharacteristic
727C2×Dic6—21no—
728C2×Dic6—21no—
729C2×Dic6—21no—
730C2×Dic6—21no—
731C2×Dic6—21no—
732C2×Dic6C2×D411yescharacteristic
733C2×Dic6C2411yescharacteristic
734C3×Q16—22no—
735C3×Q16—41no—
736C3×SD16—41no—
737C3×M16—41no—
738C2×C3×C8—41no—
739C2×C3×C8C2411yescharacteristic
740C2×C3×C8C2411yescharacteristic
741C2×C3×C8C2411yescharacteristic
742C2×C3×C8C2411yescharacteristic
743C3×C4⋊C4—21no—
744C3×C4⋊C4—21no—
745C3×C4⋊C4—21no—
746C3×C4⋊C4—21no—
747C3×C4⋊C4—21no—
748C3×C4⋊C4—21no—
749C3×C4⋊C4—21no—
750C3×C4⋊C4—21no—
751C3×C4⋊C4C2×D411yescharacteristic
752C3×C4⋊C4C2411yescharacteristic
753C3×C4⋊C4C2411yescharacteristic
754C3×C4⋊C4C2411yescharacteristic
755C3×C4⋊C4C2411yescharacteristic
756C3×C22⋊C4—21no—
757C3×C22⋊C4—21no—
758C3×C22⋊C4—21no—
759C3×C22⋊C4—21no—
760C3×C22⋊C4—21no—
761C3×C22⋊C4—21no—
762C3×C22⋊C4C2×D411yescharacteristic
763C3×C22⋊C4C2×D411yescharacteristic
764C3×C42—21no—
765C3×C42—21no—
766C3×C42C2411yescharacteristic
767#217—21no—
768#217—21no—
769#217—21no—
770#217—21no—
771#217—21no—
772#217—21no—
773#217C2×D411yescharacteristic
774#217C2×D411yescharacteristic
775#217C2×D411yescharacteristic
776#217C2×D411yescharacteristic
777#216—22no—
778#216—41no—
779#215—41no—
780#214—41no—
781(C2×D3)⋊C4—21no—
782(C2×D3)⋊C4—21no—
783(C2×D3)⋊C4—21no—
784(C2×D3)⋊C4—21no—
785(C2×D3)⋊C4—21no—
786(C2×D3)⋊C4—21no—
787(C2×D3)⋊C4—21no—
788(C2×D3)⋊C4—21no—
789(C2×D3)⋊C4—21no—
790(C2×D3)⋊C4—21no—
791(C2×D3)⋊C4C2×D411yescharacteristic
792(C2×D3)⋊C4C2×D411yescharacteristic
793(C2×D3)⋊C4C2×D411yescharacteristic
794(C2×D3)⋊C4C2×D411yescharacteristic
795C4⋊Dic3—21no—
796C4⋊Dic3—21no—
797C4⋊Dic3—21no—
798C4⋊Dic3—21no—
799C4⋊Dic3—21no—
800C4⋊Dic3—21no—
801C4⋊Dic3—21no—
802C4⋊Dic3—21no—
803C4⋊Dic3—21no—
804C4⋊Dic3—21no—
805C4⋊Dic3—21no—
806C4⋊Dic3—21no—
807C4⋊Dic3—21no—
808C4⋊Dic3—21no—
809C4⋊Dic3—21no—
810C4⋊Dic3—21no—
811C4⋊Dic3—21no—
812C4⋊Dic3C2×D411yescharacteristic
813C4⋊Dic3C2×D411yescharacteristic
814C4⋊Dic3C2×D411yescharacteristic
815C4⋊Dic3C2411yescharacteristic
816C4⋊Dic3C2411yescharacteristic
817C4⋊Dic3C2411yescharacteristic
818C4⋊Dic3C2411yescharacteristic
819C4⋊Dic3C2411yescharacteristic
820C4⋊Dic3C2411yescharacteristic
821Dic3⋊C4—21no—
822Dic3⋊C4—21no—
823Dic3⋊C4—21no—
824Dic3⋊C4—21no—
825Dic3⋊C4—21no—
826Dic3⋊C4—21no—
827Dic3⋊C4—21no—
828Dic3⋊C4—21no—
829Dic3⋊C4—21no—
830Dic3⋊C4—21no—
831Dic3⋊C4—21no—
832Dic3⋊C4—21no—
833Dic3⋊C4—21no—
834Dic3⋊C4—21no—
835Dic3⋊C4—21no—
836Dic3⋊C4—21no—
837Dic3⋊C4—21no—
838Dic3⋊C4—21no—
839Dic3⋊C4—21no—
840Dic3⋊C4—21no—
841Dic3⋊C4—21no—
842Dic3⋊C4—21no—
843Dic3⋊C4C2×D411yescharacteristic
844Dic3⋊C4C2×D411yescharacteristic
845Dic3⋊C4C2×D411yescharacteristic
846Dic3⋊C4C2×D411yescharacteristic
847Dic3⋊C4C2×D411yescharacteristic
848Dic3⋊C4C2×D411yescharacteristic
849C4×Dic3—21no—
850C4×Dic3—21no—
851C4×Dic3—21no—
852C4×Dic3—21no—
853C4×Dic3—21no—
854C4×Dic3—21no—
855C4×Dic3—21no—
856C4×Dic3—21no—
857C4×Dic3—21no—
858C4×Dic3—21no—
859C4×Dic3—21no—
860C4×Dic3—21no—
861C4×Dic3C2×D411yescharacteristic
862C4×Dic3C2×D411yescharacteristic
863C4×Dic3C2411yescharacteristic
864C4×Dic3C2411yescharacteristic
865C4×Dic3C2411yescharacteristic
866C2×C3⋊C8—41no—
867C2×C3⋊C8—41no—
868C2×C3⋊C8C2411yescharacteristic
869C2×C3⋊C8C2411yescharacteristic
870C2×C3⋊C8C2411yescharacteristic
871C2×C3⋊C8C2411yescharacteristic
872#204—41no—
873ΓL(1,𝔽25)—41no—
874D3×C8—41no—
875C2×#41—31no—
876C2×#41—61no—
877C2×#41—61no—
878C2×#41—61no—
879C2×#41C22×D311yescharacteristic
880C22×Q8C22×D311yescharacteristic
881C2×Q16—31no—
882C2×Q16—31no—
883C2×Q16C22×D311yescharacteristic
884C2×Q16C22×D311yescharacteristic
885C2×SD16—31no—
886C2×SD16—31no—
887C2×SD16—31no—
888C2×SD16C22×D311yescharacteristic
889C2×M16—31no—
890C2×M16C22×D311yescharacteristic
891C22×C8—31no—
892C22×C8—31no—
893C22×C8—31no—
894C22×C8C22×D311yescharacteristic
895C4⋊Q8—31no—
896C4⋊Q8—31no—
897C4⋊Q8—31no—
898C4⋊Q8—31no—
899C4⋊Q8—31no—
900C4⋊Q8—31no—
901C4⋊Q8—61no—
902C4⋊Q8—61no—
903C4⋊Q8—61no—
904C4⋊Q8—61no—
905C4⋊Q8—61no—
906C4⋊Q8—61no—
907C4⋊Q8—61no—
908C4⋊Q8C22×D311yescharacteristic
909#127—31no—
910#127—61no—
911#126—31no—
912#126—31no—
913#126—61no—
914#126—61no—
915#126—61no—
916#126—61no—
917#126—61no—
918#126—61no—
919#126—61no—
920#126—61no—
921#126—61no—
922#126—61no—
923#125—21no—
924#125—31no—
925#125—31no—
926#125—31no—
927#125—31no—
928#125—31no—
929#125—31no—
930#125—31no—
931#125—61no—
932#125—61no—
933#125—61no—
934#125—61no—
935#125—61no—
936#125—61no—
937#125—61no—
938#125—61no—
939#125—61no—
940#125—61no—
941#125—61no—
942#125—61no—
943#125—61no—
944#125—61no—
945#125—61no—
946#125—61no—
947#125—61no—
948#125—61no—
949#125—61no—
950#124—21no—
951#124—31no—
952#124—31no—
953#124—61no—
954#124—61no—
955#124—61no—
956#124—61no—
957#124—61no—
958#124C22×D311yescharacteristic
959#123—31no—
960#123—31no—
961#123—61no—
962#123—61no—
963#123—61no—
964#123—61no—
965#123—61no—
966#123—61no—
967#123—61no—
968#123—61no—
969#123—61no—
970#123—61no—
971#123—61no—
972#123—61no—
973C22⋊Q8—21no—
974C22⋊Q8—21no—
975C22⋊Q8—21no—
976C22⋊Q8—31no—
977C22⋊Q8—31no—
978C22⋊Q8—31no—
979C22⋊Q8—31no—
980C22⋊Q8—31no—
981C22⋊Q8—31no—
982C22⋊Q8—61no—
983C22⋊Q8—61no—
984C22⋊Q8—61no—
985C22⋊Q8—61no—
986C22⋊Q8—61no—
987C22⋊Q8—61no—
988C22⋊Q8—61no—
989C22⋊Q8—61no—
990C22⋊Q8—61no—
991C22⋊Q8—61no—
992C22⋊Q8—61no—
993C22⋊Q8—61no—
994C22⋊Q8—61no—
995C22⋊Q8—61no—
996C22⋊Q8C22×D311yescharacteristic
997C22⋊Q8C22×D311yescharacteristic
998C22⋊Q8C22×D311yescharacteristic
999#121—21no—
1000#121—31no—
1001#121—31no—
1002#121—31no—
1003#121—31no—
1004#121—61no—
1005#121—61no—
1006#121—61no—
1007#121—61no—
1008#121C22×D311yescharacteristic
1009C4×Q8—31no—
1010C4×Q8—31no—
1011C4×Q8—31no—
1012C4×Q8—31no—
1013C4×Q8—31no—
1014C4×Q8—31no—
1015C4×Q8—31no—
1016C4×Q8—31no—
1017C4×Q8—31no—
1018C4×Q8—31no—
1019C4×Q8—31no—
1020C4×Q8—61no—
1021C4×Q8—61no—
1022C4×Q8—61no—
1023C4×Q8—61no—
1024C4×Q8—61no—
1025C4×Q8—61no—
1026C4×Q8C22×D311yescharacteristic
1027C4×Q8C22×D311yescharacteristic
1028C4×D4—21no—
1029C4×D4—21no—
1030C4×D4—31no—
1031C4×D4—31no—
1032C4×D4—31no—
1033C4×D4—31no—
1034C4×D4—31no—
1035C4×D4—31no—
1036C4×D4—61no—
1037C4×D4—61no—
1038C4×D4—61no—
1039C4×D4—61no—
1040C4×D4—61no—
1041C4×D4—61no—
1042C4×D4—61no—
1043C4×D4—61no—
1044C4×D4—61no—
1045C4×D4—61no—
1046C4×D4C22×D311yescharacteristic
1047#117—31no—
1048#117—31no—
1049#117—31no—
1050#117—31no—
1051#117—61no—
1052#117—61no—
1053#117—61no—
1054#117—61no—
1055#117—61no—
1056#117—61no—
1057#117—61no—
1058C2×C4⋊C4—31no—
1059C2×C4⋊C4—31no—
1060C2×C4⋊C4—31no—
1061C2×C4⋊C4—31no—
1062C2×C4⋊C4—31no—
1063C2×C4⋊C4—61no—
1064C2×C4⋊C4—61no—
1065C2×C4⋊C4—61no—
1066C2×C4⋊C4—61no—
1067C2×C4⋊C4—61no—
1068C2×C4⋊C4C22×D311yescharacteristic
1069C2×C4⋊C4C22×D311yescharacteristic
1070C2×C42—31no—
1071C2×C42—61no—
1072#107—31no—
1073#107—31no—
1074#107—31no—
1075#107—31no—
1076#107—31no—
1077#107—31no—
1078#107—31no—
1079#107—31no—
1080#106—31no—
1081#106—31no—
1082#106—31no—
1083#106—31no—
1084#106—31no—
1085#106—31no—
1086#106—31no—
1087#106—31no—
1088#106—31no—
1089#106—31no—
1090#106—31no—
1091#106—31no—
1092#106—31no—
1093#106C22×D311yescharacteristic
1094#106C22×D311yescharacteristic
1095#106C22×D311yescharacteristic
1096C4⋊C8—31no—
1097C4⋊C8—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8—31no—
1103C4⋊C8—31no—
1104C4⋊C8—31no—
1105C4⋊C8C22×D311yescharacteristic
1106#103—31no—
1107#103—31no—
1108#103—31no—
1109#103—31no—
1110#103—31no—
1111#103—31no—
1112#103—31no—
1113#103—31no—
1114#103—31no—
1115#103—31no—
1116#103—31no—
1117#103—31no—
1118#103—31no—
1119#103C22×D311yescharacteristic
1120#103C22×D311yescharacteristic
1121#103C22×D311yescharacteristic
1122#103C22×D311yescharacteristic
1123#103C22×D311yescharacteristic
1124#103C22×D311yescharacteristic
1125#103C22×D311yescharacteristic
1126#102—31no—
1127#102—31no—
1128#102—31no—
1129#102—31no—
1130#102—31no—
1131#102—31no—
1132#102—31no—
1133#102—31no—
1134#102—31no—
1135#102C22×D311yescharacteristic
1136#102C22×D311yescharacteristic
1137#102C22×D311yescharacteristic
1138C22⋊C8—31no—
1139C22⋊C8—31no—
1140C22⋊C8—31no—
1141C22⋊C8—31no—
1142C22⋊C8C22×D311yescharacteristic
1143C22⋊C8C22×D311yescharacteristic
1144#97—31no—
1145#97—31no—
1146#97—31no—
1147#97C22×D311yescharacteristic
1148C4×C8—31no—
1149C4×C8—31no—
1150C23×C3—21no—
1151C23×C3C22×D411yescharacteristic
1152C23×C3C22×D411yescharacteristic
1153C22×D3—21no—
1154C22×D3C22×D411yescharacteristic
1155C3×Q8—21no—
1156C3×Q8—21no—
1157C3×Q8—21no—
1158C3×Q8—21no—
1159C3×Q8—21no—
1160C3×Q8—42no—
1161C3×Q8—81no—
1162C3×Q82−1+412yes—
1163C3×D4—22no—
1164C3×D4—21no—
1165C3×D4—21no—
1166C3×D4—42no—
1167C3×D4—42no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—42no—
1180C2×C3×C4—42no—
1181C2×C3×C4—81no—
1182C2×C3×C4—81no—
1183C2×C3×C4C22×D411yescharacteristic
1184C2×C3×C4C22×D411yescharacteristic
1185C2×C3×C4C22×D411yescharacteristic
1186C2×C3×C4C22×D411yescharacteristic
1187C2×C3×C4C2511yescharacteristic
1188#67—22no—
1189#67—41no—
1190#67—42no—
1191#67—42no—
1192#67—81no—
1193#67—81no—
1194#67—81no—
1195C2×Dic3—22no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—41no—
1204C2×Dic3—42no—
1205C2×Dic3—42no—
1206C2×Dic3—81no—
1207C2×Dic3—81no—
1208C2×Dic3—81no—
1209C2×Dic3C22×D411yescharacteristic
1210C2×Dic3C22×D411yescharacteristic
1211C2×Dic3C22×D411yescharacteristic
1212C2×Dic3C22×D411yescharacteristic
1213C2×Dic3C22×D411yescharacteristic
1214C2×Dic3C22×D411yescharacteristic
1215C2×Dic3C22×D411yescharacteristic
1216D12—21no—
1217D12—21no—
1218D12—42no—
1219C4×D3—21no—
1220C4×D3—21no—
1221C4×D3—42no—
1222C4×D3—81no—
1223C4×D3—81no—
1224C4×D3—81no—
1225C4×D3—81no—
1226Dic6—21no—
1227Dic6—21no—
1228Dic6—41no—
1229Dic6—81no—
1230Dic6—81no—
1231Dic6—81no—
1232Dic6—81no—
1233Dic6—81no—
1234C3×C8—21no—
1235C3×C8—21no—
1236C3×C8—21no—
1237C3×C8—21no—
1238C3⋊C8—21no—
1239C3⋊C8—21no—
1240C3⋊C8—21no—
1241C3⋊C8—21no—
1242#41—22no—
1243#41—41no—
1244#41—62no—
1245#41—121no—
1246#41—242no—
1247#41—242no—
1248#41—242no—
1249C2×Q8—21no—
1250C2×Q8—21no—
1251C2×Q8—22no—
1252C2×Q8—31no—
1253C2×Q8—31no—
1254C2×Q8—41no—
1255C2×Q8—61no—
1256C2×Q8—61no—
1257C2×Q8—61no—
1258C2×Q8—61no—
1259C2×Q8—61no—
1260C2×Q8C23×D311yescharacteristic
1261C2×Q8C23×D311yescharacteristic
1262C2×Q8C23×D311yescharacteristic
1263C2×D4—21no—
1264C2×D4—21no—
1265C2×D4—31no—
1266C2×D4—31no—
1267C2×D4—31no—
1268C2×D4—61no—
1269C2×D4—61no—
1270C2×D4—61no—
1271C2×D4—61no—
1272C2×D4—61no—
1273C2×D4—61no—
1274C2×D4D3×D411yescharacteristic
1275C2×D4C23×D311yescharacteristic
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—31no—
1281C22×C4—31no—
1282C22×C4—31no—
1283C22×C4—61no—
1284C22×C4—61no—
1285C22×C4—61no—
1286C22×C4—61no—
1287C22×C4—61no—
1288C22×C4—61no—
1289C22×C4—61no—
1290C22×C4—61no—
1291C22×C4—61no—
1292C22×C4—61no—
1293C22×C4C23×D311yescharacteristic
1294C22×C4C23×D311yescharacteristic
1295Q16—22no—
1296Q16—41no—
1297Q16—62no—
1298Q16—121no—
1299SD16—41no—
1300SD16—121no—
1301SD16—121no—
1302SD16—121no—
1303M16—41no—
1304M16—121no—
1305C2×C8—31no—
1306C2×C8—31no—
1307C2×C8—31no—
1308C2×C8—31no—
1309C2×C8—41no—
1310C2×C8—121no—
1311C2×C8—121no—
1312C2×C8—121no—
1313C2×C8C23×D311yescharacteristic
1314C2×C8C23×D311yescharacteristic
1315C2×C8C23×D311yescharacteristic
1316C2×C8C23×D311yescharacteristic
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—31no—
1326C4⋊C4—31no—
1327C4⋊C4—31no—
1328C4⋊C4—31no—
1329C4⋊C4—31no—
1330C4⋊C4—31no—
1331C4⋊C4—31no—
1332C4⋊C4—31no—
1333C4⋊C4—31no—
1334C4⋊C4—31no—
1335C4⋊C4—31no—
1336C4⋊C4—31no—
1337C4⋊C4—31no—
1338C4⋊C4—31no—
1339C4⋊C4—31no—
1340C4⋊C4—61no—
1341C4⋊C4—61no—
1342C4⋊C4—61no—
1343C4⋊C4—61no—
1344C4⋊C4—61no—
1345C4⋊C4—61no—
1346C4⋊C4—61no—
1347C4⋊C4—61no—
1348C4⋊C4—61no—
1349C4⋊C4—61no—
1350C4⋊C4—61no—
1351C4⋊C4—61no—
1352C4⋊C4—61no—
1353C4⋊C4—61no—
1354C4⋊C4—61no—
1355C4⋊C4—61no—
1356C4⋊C4—61no—
1357C4⋊C4—61no—
1358C4⋊C4—61no—
1359C4⋊C4—61no—
1360C4⋊C4—61no—
1361C4⋊C4—61no—
1362C4⋊C4—61no—
1363C4⋊C4—61no—
1364C4⋊C4—61no—
1365C4⋊C4—61no—
1366C4⋊C4—61no—
1367C4⋊C4—61no—
1368C4⋊C4—61no—
1369C4⋊C4—61no—
1370C4⋊C4—61no—
1371C4⋊C4—61no—
1372C4⋊C4—61no—
1373C4⋊C4—61no—
1374C4⋊C4—61no—
1375C4⋊C4—61no—
1376C4⋊C4—61no—
1377C4⋊C4—61no—
1378C4⋊C4—61no—
1379C4⋊C4D3×D411yescharacteristic
1380C4⋊C4C23×D311yescharacteristic
1381C4⋊C4C23×D311yescharacteristic
1382C4⋊C4C23×D311yescharacteristic
1383C4⋊C4C23×D311yescharacteristic
1384C22⋊C4—21no—
1385C22⋊C4—21no—
1386C22⋊C4—21no—
1387C22⋊C4—21no—
1388C22⋊C4—21no—
1389C22⋊C4—21no—
1390C22⋊C4—31no—
1391C22⋊C4—31no—
1392C22⋊C4—31no—
1393C22⋊C4—31no—
1394C22⋊C4—31no—
1395C22⋊C4—31no—
1396C22⋊C4—31no—
1397C22⋊C4—31no—
1398C22⋊C4—61no—
1399C22⋊C4—61no—
1400C22⋊C4—61no—
1401C22⋊C4—61no—
1402C22⋊C4—61no—
1403C22⋊C4—61no—
1404C22⋊C4—61no—
1405C22⋊C4—61no—
1406C22⋊C4—61no—
1407C22⋊C4—61no—
1408C22⋊C4—61no—
1409C22⋊C4—61no—
1410C22⋊C4—61no—
1411C22⋊C4—61no—
1412C22⋊C4—61no—
1413C22⋊C4—61no—
1414C22⋊C4D3×D411yescharacteristic
1415C22⋊C4D3×D411yescharacteristic
1416C42—21no—
1417C42—21no—
1418C42—31no—
1419C42—31no—
1420C42—31no—
1421C42—31no—
1422C42—31no—
1423C42—61no—
1424C42—61no—
1425C42—61no—
1426C42—61no—
1427C42—61no—
1428C42—61no—
1429C42—61no—
1430C42—61no—
1431C42—61no—
1432C42—61no—
1433C42—61no—
1434C42—61no—
1435C42C23×D311yescharacteristic
1436C22×C3—21no—
1437C22×C3—21no—
1438C22×C3—21no—
1439C22×C3—21no—
1440C22×C3—21no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3#57712yes—
1445C22×C3C23×D411yescharacteristic
1446C2×D3—21no—
1447C2×D3—21no—
1448C2×D3—21no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C3×C4—21no—
1453C3×C4—22no—
1454C3×C4—21no—
1455C3×C4—21no—
1456C3×C4—21no—
1457C3×C4—41no—
1458C3×C4—41no—
1459C3×C4—41no—
1460C3×C4—41no—
1461C3×C4—41no—
1462C3×C4—41no—
1463C3×C4C2×2−1+411yescharacteristic
1464C3×C4#58511yescharacteristic
1465Dic3—21no—
1466Dic3—21no—
1467Dic3—21no—
1468Dic3—21no—
1469Dic3—21no—
1470Dic3—21no—
1471Dic3—21no—
1472Dic3—41no—
1473Dic3—41no—
1474Dic3—41no—
1475Dic3—41no—
1476Dic3—41no—
1477Dic3—41no—
1478Dic3—41no—
1479C23—21no—
1480C23—31no—
1481C23—61no—
1482C23C2×D3×D411yescharacteristic
1483C23C2×D3×D411yescharacteristic
1484Q8—21no—
1485Q8—21no—
1486Q8—21no—
1487Q8—21no—
1488Q8—21no—
1489Q8—42no—
1490Q8—61no—
1491Q8—61no—
1492Q8—81no—
1493Q8—121no—
1494Q8—241no—
1495Q8—241no—
1496Q8—241no—
1497Q8—241no—
1498Q8—241no—
1499Q8#101012yes—
1500D4—22no—
1501D4—21no—
1502D4—21no—
1503D4—42no—
1504D4—42no—
1505D4—62no—
1506D4—61no—
1507D4—61no—
1508D4—122no—
1509D4—121no—
1510D4—122no—
1511D4—122no—
1512D4—241no—
1513D4—241no—
1514D4—241no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—31no—
1527C2×C4—31no—
1528C2×C4—31no—
1529C2×C4—31no—
1530C2×C4—31no—
1531C2×C4—31no—
1532C2×C4—31no—
1533C2×C4—42no—
1534C2×C4—42no—
1535C2×C4—62no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—81no—
1546C2×C4—81no—
1547C2×C4—122no—
1548C2×C4—121no—
1549C2×C4—122no—
1550C2×C4—122no—
1551C2×C4—241no—
1552C2×C4—241no—
1553C2×C4—241no—
1554C2×C4—241no—
1555C2×C4—241no—
1556C2×C4—241no—
1557C2×C4—241no—
1558C2×C4C2×D3×D411yescharacteristic
1559C2×C4C2×D3×D411yescharacteristic
1560C2×C4C2×D3×D411yescharacteristic
1561C2×C4C2×D3×D411yescharacteristic
1562C2×C4C24×D311yescharacteristic
1563C8—21no—
1564C8—21no—
1565C8—21no—
1566C8—21no—
1567C8—61no—
1568C8—61no—
1569C8—61no—
1570C8—61no—
1571C2×C3—22no—
1572C2×C3—41no—
1573C2×C3—81no—
1574C2×C3#348911yescharacteristic
1575C2×C3C2×#57711yescharacteristic
1576C2×C3#358611yescharacteristic
1577D3—41no—
1578D3—81no—
1579C22—21no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—61no—
1588C22—61no—
1589C22—61no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22#577812yes—
1594C22C22×D3×D411yescharacteristic
1595C4—21no—
1596C4—21no—
1597C4—22no—
1598C4—21no—
1599C4—21no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—61no—
1607C4—61no—
1608C4—61no—
1609C4—61no—
1610C4—61no—
1611C4—61no—
1612C4—61no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C4—121no—
1619C4—121no—
1620C4C2×#101011yescharacteristic
1621C4#596611yescharacteristic
1622C3#6216911yescharacteristic, complemented, Sylow
1623C2—22no—
1624C2—41no—
1625C2—81no—
1626C2—121no—
1627C2—241no—
1628C2#8663011yescharacteristic
1629C2C2×#577811yescharacteristic
1630C2#8720811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3316C2
socleC22×C3C23×D4
prime radical#86722C2
hypercenter#3316D3
hypocenterC3#62169
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3316

Complements

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

NH ≅ G/Ntype
1. #86943C2semidirect
3. C3×#3316C2semidirect
4. #83622C2semidirect
5. #83534C2semidirect
6. #81695C2semidirect
7. #81673C2semidirect
8. #81437C2semidirect
9. #81423C2semidirect
10. #81320C2semidirect
11. #81319C2semidirect
12. #81043C2semidirect
13. #81014C2semidirect
14. #80919C2semidirect
15. #80897C2semidirect
16. #80651C2semidirect
17. #80640C2semidirect
18. #80583C2semidirect
19. #80579C2semidirect
20. #80256C2semidirect
21. #80217C2semidirect
22. #80194C2semidirect
23. #80174C2semidirect
24. #79849C2semidirect
25. #79819C2semidirect
26. #79469C2semidirect
27. #79463C2semidirect
28. #78901C2semidirect
29. #78873C2semidirect
30. #78811C2semidirect
31. C2×#4796C2semidirect
219. #3316D3semidirect
1622. C3#62169semidirect

Maximal subgroups

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

subgroupindex
#869432
#867222
C3×#33162
#836222
#835342
#816952
#816732
#814372
#814232
#813202
#813192
#810432
#810142
#809192
#808972
#806512
#806402
#805832
#805792
#802562
#802172
#801942
#801742
#798492
#798192
#794692
#794632
#789012
#788732
#788112
C2×#47962
#621693