Finite Group Databasebeta

← #11004057

Subgroups — #11004057

Order 768.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2848C211yesmaximal, characteristic, complemented
2#84033C211yesmaximal, characteristic, complemented
3C2×#5213C211yesmaximal, characteristic, complemented
4#82826C211yesmaximal, characteristic, complemented
5#82806C211yesmaximal, characteristic, complemented
6#82804C211yesmaximal, characteristic, complemented
7#82800C211yesmaximal, characteristic, complemented
8#82781C211yesmaximal, characteristic, complemented
9#82769C211yesmaximal, characteristic, complemented
10#74636C211yesmaximal, characteristic, complemented
11#74635C211yesmaximal, characteristic, complemented
12#74621C211yesmaximal, characteristic, complemented
13#74619C211yesmaximal, characteristic, complemented
14#74578C211yesmaximal, characteristic, complemented
15#74552C211yesmaximal, characteristic, complemented
16#74551C211yesmaximal, characteristic, complemented
17#74548C211yesmaximal, characteristic, complemented
18#74529C211yesmaximal, characteristic, complemented
19#74526C211yesmaximal, characteristic, complemented
20#74387C211yesmaximal, characteristic, complemented
21#74383C211yesmaximal, characteristic, complemented
22#74037C211yesmaximal, characteristic, complemented
23#73973C211yesmaximal, characteristic, complemented
24#73971C211yesmaximal, characteristic, complemented
25#73968C211yesmaximal, characteristic, complemented
26#73943C211yesmaximal, characteristic, complemented
27#73909C211yesmaximal, characteristic, complemented
28#73831C211yesmaximal, characteristic, complemented
29#73829C211yesmaximal, characteristic, complemented
30#73827C211yesmaximal, characteristic, complemented
31#73824C211yesmaximal, characteristic
32#36793—31nomaximal, Sylow
33C24×C3×C4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic, complemented
37C2×C3×C22⋊Q8C2211yescharacteristic, complemented
38C2×#953C2211yescharacteristic
39C22×#217C2211yescharacteristic
40C2×#947C2211yescharacteristic, complemented
41C2×#929C2211yescharacteristic, complemented
42C2×#929C2211yescharacteristic, complemented
43C22×(C2×D3)⋊C4C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C2×#898C2211yescharacteristic, complemented
46C2×#885C2211yescharacteristic
47C2×#885C2211yescharacteristic
48C2×#885C2211yescharacteristic, complemented
49C2×#884C2211yescharacteristic
50C2×#884C2211yescharacteristic
51C2×#882C2211yescharacteristic
52C2×#67⋊C4C2211yescharacteristic
53C2×#879C2211yescharacteristic, complemented
54C2×#878C2211yescharacteristic
55C2×#878C2211yescharacteristic
56C3×#385C2211yescharacteristic
57C3×#385C2211yescharacteristic
58C3×#385C2211yescharacteristic, complemented
59C3×#385C2211yescharacteristic, complemented
60C3×#385C2211yescharacteristic, complemented
61C3×#385C2211yescharacteristic, complemented
62C3×#380C2211yescharacteristic
63C3×#380C2211yescharacteristic, complemented
64C3×#380C2211yescharacteristic, complemented
65C3×#379C2211yescharacteristic
66C3×#379C2211yescharacteristic
67#5247C2211yescharacteristic
68#5231C2211yescharacteristic, complemented
69#5230C2211yescharacteristic, complemented
70#5229C2211yescharacteristic, complemented
71#5213C2211yescharacteristic
72#5213C2211yescharacteristic
73#5213C2211yescharacteristic
74#5213C2211yescharacteristic
75#5213C2211yescharacteristic
76#5213C2211yescharacteristic
77#5213C2211yescharacteristic
78#5213C2211yescharacteristic
79#5213C2211yescharacteristic
80#5213C2211yescharacteristic
81#5213C2211yescharacteristic, complemented
82#5213C2211yescharacteristic, complemented
83#5211C2211yescharacteristic, complemented
84#5211C2211yescharacteristic, complemented
85#5210C2211yescharacteristic
86#5210C2211yescharacteristic
87#5210C2211yescharacteristic, complemented
88#5210C2211yescharacteristic, complemented
89C2×C3⋊#95C2211yescharacteristic
90C2×C3⋊#95C2211yescharacteristic
91#4994C2211yescharacteristic, complemented
92#4994C2211yescharacteristic, complemented
93#4994C2211yescharacteristic, complemented
94#4993C2211yescharacteristic, complemented
95#4993C2211yescharacteristic, complemented
96#4993C2211yescharacteristic, complemented
97#4992C2211yescharacteristic, complemented
98#4992C2211yescharacteristic, complemented
99#4992C2211yescharacteristic, complemented
100#4992C2211yescharacteristic, complemented
101#4991C2211yescharacteristic, complemented
102#4991C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4990C2211yescharacteristic, complemented
106#4990C2211yescharacteristic, complemented
107#4990C2211yescharacteristic, complemented
108#4990C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4988C2211yescharacteristic, complemented
111#4987C2211yescharacteristic, complemented
112#4983C2211yescharacteristic, complemented
113#4981C2211yescharacteristic, complemented
114#4980C2211yescharacteristic, complemented
115#4979C2211yescharacteristic, complemented
116#4979C2211yescharacteristic, complemented
117#4978C2211yescharacteristic, complemented
118#4978C2211yescharacteristic, complemented
119#4977C2211yescharacteristic, complemented
120#4976C2211yescharacteristic, complemented
121#4976C2211yescharacteristic, complemented
122#4976C2211yescharacteristic, complemented
123#4973C2211yescharacteristic, complemented
124#4973C2211yescharacteristic, complemented
125#4972C2211yescharacteristic, complemented
126#4961C2211yescharacteristic
127#4961C2211yescharacteristic
128#4961C2211yescharacteristic, complemented
129#4960C2211yescharacteristic
130#4960C2211yescharacteristic
131#4959C2211yescharacteristic
132#4959C2211yescharacteristic
133#4959C2211yescharacteristic
134#4959C2211yescharacteristic
135#4959C2211yescharacteristic, complemented
136#4958C2211yescharacteristic
137#4958C2211yescharacteristic
138#4957C2211yescharacteristic
139#4957C2211yescharacteristic
140#4957C2211yescharacteristic
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic, complemented
143#4955C2211yescharacteristic
144#4955C2211yescharacteristic
145#4955C2211yescharacteristic
146#4953C2211yescharacteristic, complemented
147#4952C2211yescharacteristic, complemented
148#4952C2211yescharacteristic, complemented
149#4952C2211yescharacteristic, complemented
150#4951C2211yescharacteristic, complemented
151#4951C2211yescharacteristic, complemented
152#4950C2211yescharacteristic
153#4948C2211yescharacteristic, complemented
154#4947C2211yescharacteristic, complemented
155#4946C2211yescharacteristic
156#4945C2211yescharacteristic, complemented
157#4944C2211yescharacteristic, complemented
158#4944C2211yescharacteristic, complemented
159#4942C2211yescharacteristic
160#4942C2211yescharacteristic
161Dic3×C22⋊C4C2211yescharacteristic
162Dic3×C22⋊C4C2211yescharacteristic
163Dic3×C22⋊C4C2211yescharacteristic
164#4676C2211yescharacteristic, complemented
165#4676C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4675C2211yescharacteristic, complemented
169#4674C2211yescharacteristic, complemented
170#4673C2211yescharacteristic, complemented
171#4673C2211yescharacteristic, complemented
172#4673C2211yescharacteristic, complemented
173#4672C2211yescharacteristic, complemented
174#4672C2211yescharacteristic, complemented
175#4670C2211yescharacteristic, complemented
176#4670C2211yescharacteristic, complemented
177#4669C2211yescharacteristic, complemented
178#4668C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180#4658C2211yescharacteristic, complemented
181#4655C2211yescharacteristic, complemented
182#4653C2211yescharacteristic, complemented
183#4652C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4651C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#2849—31no—
189#2848D311yescharacteristic, complemented
190#2796—31no—
191#2761—31no—
192#2757—31no—
193#2751—31no—
194#2737—31no—
195#2730—31no—
196#2723—31no—
197#2715—31no—
198#2712—31no—
199#2710—31no—
200#2705—31no—
201#2701—31no—
202#2700—31no—
203#2691—31no—
204#2686—31no—
205#2672—31no—
206#2626—31no—
207#2622—31no—
208#2564—31no—
209#2549—31no—
210#2480—31no—
211#2480—31no—
212#2472—31no—
213#2472—31no—
214#2435—31no—
215#2408—31no—
216#2329—31no—
217#2318—31no—
218C2×#386—31no—
219C25×C3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C22×C3×Q8C2311yescharacteristic
222C23×C3×C4—42no—
223C23×C3×C4—42no—
224C23×C3×C4—42no—
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67—24no—
232C22×#67—42no—
233C22×#67—42no—
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×Dic6C2311yescharacteristic
248C22×Dic6C2311yescharacteristic
249C3×C22⋊Q8—42no—
250C3×C22⋊Q8—42no—
251C3×C22⋊Q8—42no—
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273#953—42no—
274C2×#217—42no—
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288#947—42no—
289#929—42no—
290#929—42no—
291C2×(C2×D3)⋊C4—42no—
292C2×(C2×D3)⋊C4—42no—
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350#898—42no—
351#885—42no—
352#885—42no—
353#885—42no—
354#884—42no—
355#884—42no—
356#882—42no—
357#67⋊C4—24no—
358#879—42no—
359#878—24no—
360#878—42no—
361C3×#95C2311yescharacteristic
362C3×#95C2311yescharacteristic
363C3×#95C2311yescharacteristic
364C3×#95C2311yescharacteristic
365C3×#95C2311yescharacteristic
366C3×#95C2311yescharacteristic
367C3⋊#95C2311yescharacteristic
368C3⋊#95C2311yescharacteristic
369C3⋊#95C2311yescharacteristic
370C3⋊#95C2311yescharacteristic
371C3⋊#95C2311yescharacteristic
372C3⋊#95C2311yescharacteristic
373C3⋊#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
379C3⋊#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
381C3⋊#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C23×D4—31no—
402C24×C4C2×D311yescharacteristic
403C2×#126—31no—
404C2×#126—31no—
405C2×#124—31no—
406C2×#124—31no—
407C2×#124—31no—
408C2×#124—31no—
409C2×#123—31no—
410C2×#123—31no—
411C2×C22⋊Q8—31no—
412C2×C22⋊Q8—31no—
413C2×C22⋊Q8C2×D311yescharacteristic
414C2×C22⋊Q8C2×D311yescharacteristic, complemented
415C2×C22⋊Q8C2×D311yescharacteristic, complemented
416C2×#121—31no—
417C2×#121—31no—
418C2×#120—31no—
419C2×#120—31no—
420C2×C4×D4—31no—
421C22×C22⋊C4—31no—
422C22×C22⋊C4—31no—
423C22×C22⋊C4—31no—
424#400—31no—
425#399—31no—
426#399—31no—
427#399—31no—
428#398—31no—
429#398—31no—
430#397—31no—
431#397—31no—
432#397—31no—
433#397—31no—
434#397—31no—
435#397—31no—
436#397—31no—
437#397—31no—
438#397—31no—
439#397—31no—
440#397—31no—
441#397—31no—
442#396—31no—
443#396—31no—
444#396—31no—
445#396—31no—
446#396—31no—
447#396—31no—
448#395—31no—
449#395—31no—
450#395—31no—
451#394—31no—
452#394—31no—
453#394—31no—
454#394—31no—
455#394—31no—
456#394—31no—
457#394—31no—
458#394—31no—
459#394—31no—
460#394—31no—
461#394—31no—
462#394—31no—
463#394—31no—
464#394—31no—
465#393—31no—
466#393—31no—
467#393—31no—
468#393—31no—
469#393—31no—
470#392—31no—
471#392—31no—
472#391—31no—
473#391—31no—
474#391—31no—
475#391—31no—
476#390—31no—
477#390—31no—
478#390—31no—
479#390—31no—
480#390—31no—
481#390—31no—
482#389—31no—
483#389—31no—
484#389—31no—
485#389—31no—
486#388—31no—
487#388—31no—
488#388—31no—
489#388—31no—
490#388—31no—
491#388—31no—
492#388—31no—
493#388—31no—
494#388—31no—
495#388—31no—
496#388—31no—
497#388—31no—
498#387—31no—
499#387—31no—
500#387—31no—
501#387—31no—
502#387—31no—
503#387—31no—
504#387—31no—
505#387—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
510#386—31no—
511#386—31no—
512#386—31no—
513#386—31no—
514#386—31no—
515#386—31no—
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#385—31no—
521#385—31no—
522#385—31no—
523#385—31no—
524#385—31no—
525#385—31no—
526#385—31no—
527#385—31no—
528#385C2×D311yescharacteristic
529#385C2×D311yescharacteristic
530#385C2×D311yescharacteristic, complemented
531#385C2×D311yescharacteristic, complemented
532#385C2×D311yescharacteristic, complemented
533#385C2×D311yescharacteristic, complemented
534#383—31no—
535#382—31no—
536#381—31no—
537#381—31no—
538#381—31no—
539#380—31no—
540#380—31no—
541#380—31no—
542#380C2×D311yescharacteristic
543#380C2×D311yescharacteristic, complemented
544#380C2×D311yescharacteristic, complemented
545#379—31no—
546#379—31no—
547#379—31no—
548#379—31no—
549#379C2×D311yescharacteristic
550#379C2×D311yescharacteristic
551C4×C22⋊C4—31no—
552C4×C22⋊C4—31no—
553C4×C22⋊C4—31no—
554C2×#95—31no—
555C2×#95—31no—
556C24×C3—22no—
557C24×C3—22no—
558C24×C3—22no—
559C24×C3—22no—
560C24×C3—22no—
561C24×C3—41no—
562C24×C3—41no—
563C24×C3C2411yescharacteristic
564C24×C3C2411yescharacteristic
565C24×C3C2411yescharacteristic
566C23×D3—22no—
567C23×D3—22no—
568C23×D3—22no—
569C23×D3—41no—
570C23×D3—41no—
571C23×D3—41no—
572C23×D3—41no—
573C23×D3C2411yescharacteristic
574C23×D3C2411yescharacteristic
575C23×D3C2411yescharacteristic
576C2×C3×Q8—22no—
577C2×C3×Q8—41no—
578C2×C3×Q8—41no—
579C22×C3×C4—22no—
580C22×C3×C4—22no—
581C22×C3×C4—22no—
582C22×C3×C4—22no—
583C22×C3×C4—22no—
584C22×C3×C4—22no—
585C22×C3×C4—22no—
586C22×C3×C4—41no—
587C22×C3×C4—41no—
588C22×C3×C4—41no—
589C22×C3×C4—41no—
590C22×C3×C4—41no—
591C22×C3×C4—41no—
592C22×C3×C4—41no—
593C22×C3×C4—41no—
594C22×C3×C4—41no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4—416no—
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C2×#67—22no—
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—416no—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—41no—
635C22×Dic3—41no—
636C22×Dic3—41no—
637C22×Dic3—41no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3#4114yes—
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12—41no—
659C2×D12—41no—
660C2×C4×D3—22no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×Dic6—22no—
664C2×Dic6—41no—
665C2×Dic6—41no—
666C2×Dic6—41no—
667C2×Dic6—41no—
668C2×Dic6—41no—
669C3×C4⋊C4—22no—
670C3×C4⋊C4—41no—
671C3×C4⋊C4—41no—
672C3×C4⋊C4—41no—
673C3×C4⋊C4—41no—
674C3×C4⋊C4—41no—
675C3×C4⋊C4—41no—
676C3×C4⋊C4—41no—
677C3×C4⋊C4—41no—
678C3×C22⋊C4—22no—
679C3×C22⋊C4—22no—
680C3×C22⋊C4—22no—
681C3×C22⋊C4—22no—
682C3×C22⋊C4—22no—
683C3×C22⋊C4—22no—
684C3×C22⋊C4—22no—
685C3×C22⋊C4—22no—
686C3×C22⋊C4—41no—
687C3×C22⋊C4—41no—
688C3×C22⋊C4—41no—
689C3×C22⋊C4—41no—
690#217—22no—
691#217—22no—
692#217—22no—
693#217—22no—
694#217—22no—
695#217—22no—
696#217—22no—
697#217—41no—
698#217—41no—
699#217—41no—
700#217—41no—
701#217—41no—
702#217—41no—
703(C2×D3)⋊C4—22no—
704(C2×D3)⋊C4—22no—
705(C2×D3)⋊C4—22no—
706(C2×D3)⋊C4—22no—
707(C2×D3)⋊C4—41no—
708(C2×D3)⋊C4—41no—
709(C2×D3)⋊C4—41no—
710(C2×D3)⋊C4—41no—
711(C2×D3)⋊C4—41no—
712(C2×D3)⋊C4—41no—
713(C2×D3)⋊C4—41no—
714(C2×D3)⋊C4—41no—
715(C2×D3)⋊C4—41no—
716(C2×D3)⋊C4—41no—
717(C2×D3)⋊C4—41no—
718(C2×D3)⋊C4—41no—
719(C2×D3)⋊C4—41no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4—41no—
722(C2×D3)⋊C4—41no—
723(C2×D3)⋊C4—41no—
724(C2×D3)⋊C4—41no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734C4⋊Dic3—22no—
735C4⋊Dic3—41no—
736C4⋊Dic3—41no—
737C4⋊Dic3—41no—
738Dic3⋊C4—22no—
739Dic3⋊C4—22no—
740Dic3⋊C4—22no—
741Dic3⋊C4—22no—
742Dic3⋊C4—41no—
743Dic3⋊C4—41no—
744Dic3⋊C4—41no—
745Dic3⋊C4—41no—
746Dic3⋊C4—41no—
747Dic3⋊C4—41no—
748Dic3⋊C4—41no—
749Dic3⋊C4—41no—
750Dic3⋊C4—41no—
751Dic3⋊C4—41no—
752Dic3⋊C4—41no—
753C4×Dic3—22no—
754C4×Dic3—41no—
755C4×Dic3—41no—
756C4×Dic3—41no—
757C4×Dic3—41no—
758C4×Dic3—41no—
759C4×Dic3—41no—
760C25—31no—
761C25C22×D311yescharacteristic
762C22×Q8—31no—
763C22×Q8—31no—
764C22×Q8C22×D311yescharacteristic
765C22×D4—31no—
766C22×D4—31no—
767C22×D4—31no—
768C22×D4—31no—
769C22×D4—31no—
770C22×D4—31no—
771C22×D4—31no—
772C22×D4—31no—
773C22×D4—31no—
774C22×D4—64no—
775C22×D4—122no—
776C22×D4—122no—
777C23×C4—31no—
778C23×C4—31no—
779C23×C4—31no—
780C23×C4—31no—
781C23×C4—42no—
782C23×C4—42no—
783C23×C4—42no—
784C23×C4C22×D311yescharacteristic
785C23×C4C22×D311yescharacteristic
786C23×C4C22×D311yescharacteristic
787C23×C4C22×D311yescharacteristic
788C23×C4C22×D311yescharacteristic
789C23×C4C22×D311yescharacteristic
790#126—122no—
791#126—122no—
792#124—122no—
793#124—122no—
794#124—122no—
795#124—122no—
796#123—122no—
797#123—122no—
798C22⋊Q8—42no—
799C22⋊Q8—42no—
800C22⋊Q8—42no—
801C22⋊Q8—64no—
802C22⋊Q8—122no—
803#121—122no—
804#121—122no—
805#120—122no—
806#120—122no—
807C4×D4—64no—
808C2×C4⋊C4—31no—
809C2×C4⋊C4—31no—
810C2×C4⋊C4—31no—
811C2×C4⋊C4—31no—
812C2×C4⋊C4—31no—
813C2×C4⋊C4—31no—
814C2×C4⋊C4—31no—
815C2×C4⋊C4—31no—
816C2×C4⋊C4—31no—
817C2×C4⋊C4—31no—
818C2×C4⋊C4—31no—
819C2×C4⋊C4—31no—
820C2×C4⋊C4—31no—
821C2×C4⋊C4—31no—
822C2×C4⋊C4—31no—
823C2×C4⋊C4—31no—
824C2×C4⋊C4—31no—
825C2×C4⋊C4—31no—
826C2×C4⋊C4—31no—
827C2×C4⋊C4C22×D311yescharacteristic
828C2×C4⋊C4C22×D311yescharacteristic
829C2×C4⋊C4C22×D311yescharacteristic
830C2×C4⋊C4C22×D311yescharacteristic
831C2×C4⋊C4C22×D311yescharacteristic
832C2×C4⋊C4C22×D311yescharacteristic
833C2×C4⋊C4C22×D311yescharacteristic
834C2×C4⋊C4C22×D311yescharacteristic
835C2×C4⋊C4C22×D311yescharacteristic
836C2×C22⋊C4—31no—
837C2×C22⋊C4—31no—
838C2×C22⋊C4—31no—
839C2×C22⋊C4—31no—
840C2×C22⋊C4—31no—
841C2×C22⋊C4—31no—
842C2×C22⋊C4—31no—
843C2×C22⋊C4—31no—
844C2×C22⋊C4—31no—
845C2×C22⋊C4—31no—
846C2×C22⋊C4—31no—
847C2×C22⋊C4—31no—
848C2×C22⋊C4—31no—
849C2×C22⋊C4—31no—
850C2×C22⋊C4—31no—
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—31no—
856C2×C22⋊C4—31no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—122no—
881C2×C22⋊C4—122no—
882C2×C22⋊C4—122no—
883C2×C22⋊C4C22×D311yescharacteristic
884C2×C22⋊C4C22×D311yescharacteristic
885C2×C22⋊C4C22×D311yescharacteristic
886C2×C22⋊C4C22×D311yescharacteristic
887C2×C22⋊C4C22×D311yescharacteristic
888C2×C22⋊C4C22×D311yescharacteristic
889C2×C22⋊C4C22×D311yescharacteristic
890C2×C22⋊C4C22×D311yescharacteristic
891C2×C22⋊C4C22×D311yescharacteristic
892C2×C22⋊C4C22×D311yescharacteristic
893C2×C22⋊C4C22×D311yescharacteristic
894C2×C22⋊C4C22×D311yescharacteristic
895C2×C42—31no—
896C2×C42—31no—
897C2×C42—31no—
898C2×C42—31no—
899C2×C42—31no—
900C2×C42—31no—
901C2×C42—31no—
902#95—31no—
903#95—31no—
904#95—31no—
905#95—31no—
906#95—31no—
907#95—31no—
908#95—31no—
909#95—31no—
910#95—31no—
911#95—31no—
912#95—31no—
913#95—31no—
914#95—31no—
915#95—31no—
916#95—31no—
917#95—31no—
918#95—31no—
919#95—31no—
920#95—31no—
921#95—31no—
922#95—31no—
923#95—31no—
924#95—31no—
925#95—31no—
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
936#95C22×D311yescharacteristic
937#95C22×D311yescharacteristic
938#95C22×D311yescharacteristic
939#95C22×D311yescharacteristic
940#95C22×D311yescharacteristic
941#95C22×D311yescharacteristic
942C23×C3—21no—
943C23×C3—21no—
944C23×C3—21no—
945C23×C3—21no—
946C23×C3—28no—
947C23×C3—21no—
948C23×C3—21no—
949C23×C3—21no—
950C23×C3—21no—
951C23×C3—21no—
952C23×C3—21no—
953C23×C3—21no—
954C23×C3—21no—
955C23×C3—21no—
956C23×C3—21no—
957C23×C3—21no—
958C23×C3—21no—
959C23×C3—44no—
960C23×C3—44no—
961C23×C3—44no—
962C23×C3—44no—
963C23×C3—44no—
964C23×C3—44no—
965C23×C3C2×#4112yes—
966C23×C3H(5,𝔽2)12yes—
967C23×C3H(5,𝔽2)12yes—
968C23×C3H(5,𝔽2)12yes—
969C23×C32−1+412yes—
970C23×C3C2511yescharacteristic
971C22×D3—21no—
972C22×D3—21no—
973C22×D3—21no—
974C22×D3—21no—
975C22×D3—21no—
976C22×D3—21no—
977C22×D3—21no—
978C22×D3—21no—
979C22×D3—21no—
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—21no—
984C22×D3—21no—
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—44no—
993C22×D3—44no—
994C22×D3—44no—
995C22×D3—82no—
996C22×D3—82no—
997C22×D3—82no—
998C22×D3—82no—
999C3×Q8—82no—
1000C2×C3×C4—21no—
1001C2×C3×C4—21no—
1002C2×C3×C4—21no—
1003C2×C3×C4—21no—
1004C2×C3×C4—21no—
1005C2×C3×C4—21no—
1006C2×C3×C4—21no—
1007C2×C3×C4—21no—
1008C2×C3×C4—21no—
1009C2×C3×C4—21no—
1010C2×C3×C4—21no—
1011C2×C3×C4—21no—
1012C2×C3×C4—21no—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—44no—
1036C2×C3×C4—44no—
1037C2×C3×C4—44no—
1038C2×C3×C4—44no—
1039C2×C3×C4—44no—
1040C2×C3×C4—44no—
1041C2×C3×C4H(5,𝔽2)12yes—
1042#67—44no—
1043#67—44no—
1044#67—44no—
1045#67—44no—
1046#67—44no—
1047#67—82no—
1048#67—82no—
1049C2×Dic3—21no—
1050C2×Dic3—21no—
1051C2×Dic3—21no—
1052C2×Dic3—21no—
1053C2×Dic3—21no—
1054C2×Dic3—21no—
1055C2×Dic3—21no—
1056C2×Dic3—21no—
1057C2×Dic3—21no—
1058C2×Dic3—21no—
1059C2×Dic3—21no—
1060C2×Dic3—21no—
1061C2×Dic3—21no—
1062C2×Dic3—21no—
1063C2×Dic3—21no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—44no—
1087C2×Dic3—82no—
1088C2×Dic3—82no—
1089C2×Dic3C2×#4112yes—
1090C2×Dic3C2×#4112yes—
1091D12—82no—
1092D12—82no—
1093C4×D3—82no—
1094Dic6—82no—
1095Dic6—82no—
1096C24—22no—
1097C24—22no—
1098C24—22no—
1099C24—22no—
1100C24—22no—
1101C24—31no—
1102C24—31no—
1103C24—31no—
1104C24—41no—
1105C24—41no—
1106C24—62no—
1107C24—62no—
1108C24—62no—
1109C24—121no—
1110C24—121no—
1111C24—121no—
1112C24—121no—
1113C24C23×D311yescharacteristic
1114C24C23×D311yescharacteristic
1115C24C23×D311yescharacteristic
1116C2×Q8—22no—
1117C2×Q8—41no—
1118C2×Q8—41no—
1119C2×Q8—62no—
1120C2×Q8—121no—
1121C2×Q8—121no—
1122C2×Q8—121no—
1123C2×Q8—121no—
1124C2×Q8—121no—
1125C2×D4—62no—
1126C2×D4—62no—
1127C2×D4—62no—
1128C2×D4—62no—
1129C2×D4—62no—
1130C2×D4—62no—
1131C2×D4—62no—
1132C2×D4—62no—
1133C2×D4—62no—
1134C2×D4—62no—
1135C2×D4—62no—
1136C2×D4—62no—
1137C2×D4—62no—
1138C2×D4—121no—
1139C2×D4—121no—
1140C2×D4—121no—
1141C2×D4—121no—
1142C2×D4—121no—
1143C2×D4—121no—
1144C2×D4—121no—
1145C2×D4—121no—
1146C2×D4—121no—
1147C2×D4—121no—
1148C2×D4—121no—
1149C2×D4—121no—
1150C2×D4—121no—
1151C2×D4—121no—
1152C2×D4—1216no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—31no—
1161C22×C4—31no—
1162C22×C4—34no—
1163C22×C4—31no—
1164C22×C4—31no—
1165C22×C4—31no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—31no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—416no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
1189C22×C4—121no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4—121no—
1194C22×C4—121no—
1195C22×C4—121no—
1196C22×C4—121no—
1197C22×C4C23×D311yescharacteristic
1198C22×C4C23×D311yescharacteristic
1199C22×C4C23×D311yescharacteristic
1200C22×C4C23×D311yescharacteristic
1201C22×C4C23×D311yescharacteristic
1202C22×C4C23×D311yescharacteristic
1203C22×C4C23×D311yescharacteristic
1204C22×C4C23×D311yescharacteristic
1205C22×C4C23×D311yescharacteristic
1206C22×C4C23×D311yescharacteristic
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C4⋊C4—22no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—62no—
1219C4⋊C4—62no—
1220C4⋊C4—62no—
1221C4⋊C4—62no—
1222C4⋊C4—62no—
1223C4⋊C4—121no—
1224C4⋊C4—121no—
1225C4⋊C4—121no—
1226C4⋊C4—121no—
1227C4⋊C4—121no—
1228C4⋊C4—121no—
1229C4⋊C4—121no—
1230C4⋊C4—121no—
1231C4⋊C4—121no—
1232C4⋊C4—121no—
1233C4⋊C4—121no—
1234C4⋊C4—121no—
1235C4⋊C4—121no—
1236C4⋊C4—121no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—62no—
1250C22⋊C4—62no—
1251C22⋊C4—62no—
1252C22⋊C4—62no—
1253C22⋊C4—62no—
1254C22⋊C4—62no—
1255C22⋊C4—62no—
1256C22⋊C4—62no—
1257C22⋊C4—62no—
1258C22⋊C4—62no—
1259C22⋊C4—62no—
1260C22⋊C4—121no—
1261C22⋊C4—121no—
1262C22⋊C4—121no—
1263C22⋊C4—121no—
1264C22⋊C4—121no—
1265C22⋊C4—121no—
1266C22⋊C4—121no—
1267C22⋊C4—121no—
1268C22⋊C4—121no—
1269C22⋊C4—121no—
1270C22⋊C4—121no—
1271C22⋊C4—121no—
1272C22⋊C4—121no—
1273C22⋊C4—121no—
1274C22⋊C4—121no—
1275C22⋊C4—121no—
1276C22⋊C4—121no—
1277C22⋊C4—121no—
1278C22⋊C4—121no—
1279C22⋊C4—121no—
1280C22⋊C4—121no—
1281C22⋊C4—121no—
1282C22⋊C4—121no—
1283C22⋊C4—121no—
1284C22⋊C4—121no—
1285C22⋊C4—121no—
1286C22⋊C4—121no—
1287C22⋊C4—121no—
1288C22⋊C4—121no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C42—62no—
1294C42—121no—
1295C42—121no—
1296C42—121no—
1297C42—121no—
1298C42—121no—
1299C42—121no—
1300C22×C3—22no—
1301C22×C3—22no—
1302C22×C3—22no—
1303C22×C3—22no—
1304C22×C3—22no—
1305C22×C3—22no—
1306C22×C3—22no—
1307C22×C3—22no—
1308C22×C3—22no—
1309C22×C3—22no—
1310C22×C3—22no—
1311C22×C3—22no—
1312C22×C3—416no—
1313C22×C3—41no—
1314C22×C3—41no—
1315C22×C3—41no—
1316C22×C3—41no—
1317C22×C3—41no—
1318C22×C3—41no—
1319C22×C3—41no—
1320C22×C3—41no—
1321C22×C3#54214yes—
1322C22×C3C22×#4111yescharacteristic
1323C22×C3C2×H(5,𝔽2)11yescharacteristic
1324C22×C3C2×H(5,𝔽2)11yescharacteristic
1325C22×C3C2×H(5,𝔽2)11yescharacteristic
1326C22×C3C2×H(5,𝔽2)11yescharacteristic
1327C22×C3C2×2−1+411yescharacteristic
1328C22×C3#58511yescharacteristic
1329C2×D3—41no—
1330C2×D3—41no—
1331C2×D3—41no—
1332C2×D3—41no—
1333C2×D3—41no—
1334C2×D3—41no—
1335C2×D3—41no—
1336C2×D3—41no—
1337C2×D3—41no—
1338C2×D3—41no—
1339C2×D3—41no—
1340C2×D3—41no—
1341C2×D3—41no—
1342C2×D3—41no—
1343C2×D3—41no—
1344C2×D3—41no—
1345C2×D3—41no—
1346C2×D3—41no—
1347C2×D3—41no—
1348C2×D3—41no—
1349C2×D3—41no—
1350C2×D3—88no—
1351C3×C4—22no—
1352C3×C4—41no—
1353C3×C4—41no—
1354C3×C4—41no—
1355C3×C4—41no—
1356C3×C4—41no—
1357C3×C4—41no—
1358C3×C4—41no—
1359C3×C4—41no—
1360C3×C4—41no—
1361C3×C4—41no—
1362C3×C4—41no—
1363Dic3—22no—
1364Dic3—22no—
1365Dic3—41no—
1366Dic3—41no—
1367Dic3—41no—
1368Dic3—41no—
1369Dic3—41no—
1370Dic3—41no—
1371Dic3—41no—
1372Dic3—41no—
1373Dic3—41no—
1374Dic3—41no—
1375Dic3—41no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—28no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23—61no—
1400C23—61no—
1401C23—61no—
1402C23—61no—
1403C23—61no—
1404C23—61no—
1405C23—61no—
1406C23—61no—
1407C23—61no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—124no—
1421C23—124no—
1422C23—124no—
1423C23—242no—
1424C23—242no—
1425C23—242no—
1426C23—242no—
1427C23#100412yes—
1428C23#100412yes—
1429C23#100712yes—
1430C23D3×#4112yes—
1431C23#100912yes—
1432C23C24×D311yescharacteristic
1433Q8—82no—
1434Q8—242no—
1435Q8—242no—
1436D4—124no—
1437D4—124no—
1438D4—124no—
1439D4—124no—
1440D4—124no—
1441D4—242no—
1442D4—242no—
1443D4—242no—
1444D4—242no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—32no—
1481C2×C4—32no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—124no—
1526C2×C4—242no—
1527C2×C4—242no—
1528C2×C4—242no—
1529C2×C4#100412yes—
1530C2×C3—24no—
1531C2×C3—42no—
1532C2×C3—42no—
1533C2×C3C2×#54211yescharacteristic
1534C2×C3#349011yescharacteristic
1535C2×C3#350611yescharacteristic
1536C2×C3#353211yescharacteristic
1537C2×C3#353411yescharacteristic
1538C2×C3#353511yescharacteristic
1539C2×C3#353611yescharacteristic
1540D3—81no—
1541D3—81no—
1542D3—81no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—416no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—121no—
1565C22—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—121no—
1570C22—121no—
1571C22—121no—
1572C22—121no—
1573C22—121no—
1574C22—121no—
1575C22—121no—
1576C22—121no—
1577C22—121no—
1578C22—121no—
1579C22—121no—
1580C22—121no—
1581C22—121no—
1582C22—121no—
1583C22—121no—
1584C22—121no—
1585C22—248no—
1586C22#564014yes—
1587C22C2×#100411yescharacteristic
1588C22C2×#100411yescharacteristic
1589C22C2×#100411yescharacteristic
1590C22C2×#100711yescharacteristic
1591C22C2×D3×#4111yescharacteristic
1592C22C2×#100911yescharacteristic
1593C22#596411yescharacteristic
1594C4—22no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—62no—
1607C4—62no—
1608C4—121no—
1609C4—121no—
1610C4—121no—
1611C4—121no—
1612C4—121no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C4—121no—
1619C3#3679311yescharacteristic, complemented, Sylow
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—241no—
1624C2—241no—
1625C2—241no—
1626C2#8592111yescharacteristic
1627C2C2×#564011yescharacteristic
1628C2#8598911yescharacteristic
1629C2#8599011yescharacteristic
1630C2#8602911yescharacteristic
1631C2#8604311yescharacteristic
1632C2#8605011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2848C2
prime radical#73824C2
hypercenter#2848D3
hypocenterC3#36793
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. C3×#2848C2semidirect
2. #84033C2semidirect
3. C2×#5213C2semidirect
4. #82826C2semidirect
5. #82806C2semidirect
6. #82804C2semidirect
7. #82800C2semidirect
8. #82781C2semidirect
9. #82769C2semidirect
10. #74636C2semidirect
11. #74635C2semidirect
12. #74621C2semidirect
13. #74619C2semidirect
14. #74578C2semidirect
15. #74552C2semidirect
16. #74551C2semidirect
17. #74548C2semidirect
18. #74529C2semidirect
19. #74526C2semidirect
20. #74387C2semidirect
21. #74383C2semidirect
22. #74037C2semidirect
23. #73973C2semidirect
24. #73971C2semidirect
25. #73968C2semidirect
26. #73943C2semidirect
27. #73909C2semidirect
28. #73831C2semidirect
29. #73829C2semidirect
30. #73827C2semidirect
36. C2×C3×C22⋊Q8C22semidirect
37. C2×C3×C22⋊Q8C22semidirect
40. C2×#947C22semidirect
41. C2×#929C22semidirect
42. C2×#929C22semidirect
45. C2×#898C22semidirect
48. C2×#885C22semidirect
53. C2×#879C22semidirect
58. C3×#385C22semidirect
59. C3×#385C22semidirect
60. C3×#385C22semidirect
61. C3×#385C22semidirect
63. C3×#380C22semidirect
64. C3×#380C22semidirect
68. #5231C22semidirect
69. #5230C22semidirect
70. #5229C22semidirect
81. #5213C22semidirect
82. #5213C22semidirect
83. #5211C22semidirect
84. #5211C22semidirect
87. #5210C22semidirect
88. #5210C22semidirect
91. #4994C22semidirect
92. #4994C22semidirect
93. #4994C22semidirect
94. #4993C22semidirect
95. #4993C22semidirect
96. #4993C22semidirect
97. #4992C22semidirect
98. #4992C22semidirect
99. #4992C22semidirect
100. #4992C22semidirect
101. #4991C22semidirect
102. #4991C22semidirect
103. #4991C22semidirect
104. #4991C22semidirect
105. #4990C22semidirect
106. #4990C22semidirect
107. #4990C22semidirect
108. #4990C22semidirect
109. #4989C22semidirect
110. #4988C22semidirect
111. #4987C22semidirect
112. #4983C22semidirect
113. #4981C22semidirect
114. #4980C22semidirect
115. #4979C22semidirect
116. #4979C22semidirect
117. #4978C22semidirect
118. #4978C22semidirect
119. #4977C22semidirect
120. #4976C22semidirect
121. #4976C22semidirect
122. #4976C22semidirect
123. #4973C22semidirect
124. #4973C22semidirect
125. #4972C22semidirect
128. #4961C22semidirect
135. #4959C22semidirect
142. #4957C22semidirect
146. #4953C22semidirect
147. #4952C22semidirect
148. #4952C22semidirect
149. #4952C22semidirect
150. #4951C22semidirect
151. #4951C22semidirect
153. #4948C22semidirect
154. #4947C22semidirect
156. #4945C22semidirect
157. #4944C22semidirect
158. #4944C22semidirect
164. #4676C22semidirect
165. #4676C22semidirect
166. #4675C22semidirect
167. #4675C22semidirect
168. #4675C22semidirect
169. #4674C22semidirect
170. #4673C22semidirect
171. #4673C22semidirect
172. #4673C22semidirect
173. #4672C22semidirect
174. #4672C22semidirect
175. #4670C22semidirect
176. #4670C22semidirect
177. #4669C22semidirect
178. #4668C22semidirect
179. #4664C22semidirect
180. #4658C22semidirect
181. #4655C22semidirect
182. #4653C22semidirect
183. #4652C22semidirect
184. #4652C22semidirect
185. #4652C22semidirect
186. #4651C22semidirect
187. #4646C22semidirect
189. #2848D3semidirect
414. C2×C22⋊Q8C2×D3semidirect
415. C2×C22⋊Q8C2×D3semidirect
530. #385C2×D3semidirect
531. #385C2×D3semidirect
532. #385C2×D3semidirect
533. #385C2×D3semidirect
543. #380C2×D3semidirect
544. #380C2×D3semidirect
1619. C3#36793semidirect

Maximal subgroups

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

subgroupindex
C3×#28482
#840332
C2×#52132
#828262
#828062
#828042
#828002
#827812
#827692
#746362
#746352
#746212
#746192
#745782
#745522
#745512
#745482
#745292
#745262
#743872
#743832
#740372
#739732
#739712
#739682
#739432
#739092
#738312
#738292
#738272
#738242
#367933