Finite Group Databasebeta

← #11226409

Subgroups — #11226409

Order 768.

2074 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2740C211yesmaximal, characteristic, complemented
2#78105C211yesmaximal, characteristic, complemented
3#78030C211yesmaximal, characteristic, complemented
4#77990C211yesmaximal, characteristic, complemented
5#77738C211yesmaximal, characteristic, complemented
6#77705C211yesmaximal, characteristic, complemented
7#77696C211yesmaximal, characteristic, complemented
8#77495C211yesmaximal, characteristic, complemented
9#77487C211yesmaximal, characteristic, complemented
10#77437C211yesmaximal, characteristic, complemented
11#77320C211yesmaximal, characteristic, complemented
12#77074C211yesmaximal, characteristic, complemented
13#76895C211yesmaximal, characteristic
14#76428C211yesmaximal, characteristic, complemented
15#76370C211yesmaximal, characteristic, complemented
16#75934C211yesmaximal, characteristic, complemented
17#75844C211yesmaximal, characteristic, complemented
18#75553C211yesmaximal, characteristic, complemented
19#75477C211yesmaximal, characteristic, complemented
20#75440C211yesmaximal, characteristic, complemented
21#75374C211yesmaximal, characteristic, complemented
22#75332C211yesmaximal, characteristic, complemented
23#75305C211yesmaximal, characteristic, complemented
24#74984C211yesmaximal, characteristic, complemented
25#74944C211yesmaximal, characteristic, complemented
26#74878C211yesmaximal, characteristic, complemented
27#74726C211yesmaximal, characteristic, complemented
28#74129C211yesmaximal, characteristic, complemented
29#74066C211yesmaximal, characteristic, complemented
30#74021C211yesmaximal, characteristic, complemented
31#73885C211yesmaximal, characteristic, complemented
32#45019—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C2×C4×#67C2211yescharacteristic
35C22×(C2×D3)⋊C4C2211yescharacteristic
36C2×#926C2211yescharacteristic, complemented
37C2×#894C2211yescharacteristic, complemented
38C2×#894C2211yescharacteristic, complemented
39C2×#893C2211yescharacteristic
40C2×#892C2211yescharacteristic
41C2×#892C2211yescharacteristic, complemented
42C2×D3×C4⋊C4C2211yescharacteristic, complemented
43C2×#889C2211yescharacteristic, complemented
44C2×#884C2211yescharacteristic
45C2×#884C2211yescharacteristic
46C2×#883C2211yescharacteristic, complemented
47C2×#883C2211yescharacteristic, complemented
48C2×#882C2211yescharacteristic
49C2×#882C2211yescharacteristic
50C2×#67⋊C4C2211yescharacteristic
51C2×#67⋊C4C2211yescharacteristic, complemented
52C2×D3×C22⋊C4C2211yescharacteristic
53C2×C4×D12C2211yescharacteristic, complemented
54C2×#872C2211yescharacteristic
55C3×#399C2211yescharacteristic, complemented
56C3×#398C2211yescharacteristic, complemented
57C3×#397C2211yescharacteristic, complemented
58C3×#397C2211yescharacteristic, complemented
59C3×#396C2211yescharacteristic, complemented
60C3×#394C2211yescharacteristic
61C3×#390C2211yescharacteristic
62C3×#388C2211yescharacteristic, complemented
63C3×#388C2211yescharacteristic, complemented
64C3×#387C2211yescharacteristic, complemented
65C3×#387C2211yescharacteristic, complemented
66C3×#387C2211yescharacteristic, complemented
67C3×#386C2211yescharacteristic
68C3×#381C2211yescharacteristic, complemented
69C3×#380C2211yescharacteristic, complemented
70#5223C2211yescharacteristic
71#5221C2211yescharacteristic
72#5220C2211yescharacteristic
73#5213C2211yescharacteristic, complemented
74#4994C2211yescharacteristic
75#4994C2211yescharacteristic, complemented
76#4994C2211yescharacteristic, complemented
77#4993C2211yescharacteristic
78#4993C2211yescharacteristic, complemented
79#4992C2211yescharacteristic, complemented
80#4992C2211yescharacteristic, complemented
81#4991C2211yescharacteristic
82#4991C2211yescharacteristic
83#4991C2211yescharacteristic
84#4990C2211yescharacteristic
85#4990C2211yescharacteristic
86#4990C2211yescharacteristic, complemented
87#4989C2211yescharacteristic, complemented
88#4989C2211yescharacteristic, complemented
89#4988C2211yescharacteristic
90#4988C2211yescharacteristic, complemented
91#4987C2211yescharacteristic, complemented
92#4986C2211yescharacteristic, complemented
93#4980C2211yescharacteristic, complemented
94#4980C2211yescharacteristic, complemented
95#4975C2211yescharacteristic, complemented
96#4975C2211yescharacteristic, complemented
97Dic3×C4⋊C4C2211yescharacteristic, complemented
98Dic3×C4⋊C4C2211yescharacteristic, complemented
99#4961C2211yescharacteristic, complemented
100#4961C2211yescharacteristic, complemented
101#4957C2211yescharacteristic
102#4957C2211yescharacteristic
103#4957C2211yescharacteristic
104#4957C2211yescharacteristic
105#4957C2211yescharacteristic
106#4957C2211yescharacteristic
107#4957C2211yescharacteristic
108#4957C2211yescharacteristic
109#4957C2211yescharacteristic, complemented
110#4956C2211yescharacteristic, complemented
111#4955C2211yescharacteristic
112#4955C2211yescharacteristic
113#4955C2211yescharacteristic
114#4955C2211yescharacteristic
115#4955C2211yescharacteristic
116#4955C2211yescharacteristic
117#4955C2211yescharacteristic
118#4955C2211yescharacteristic
119#4953C2211yescharacteristic, complemented
120#4953C2211yescharacteristic, complemented
121#4952C2211yescharacteristic, complemented
122#4952C2211yescharacteristic, complemented
123#4951C2211yescharacteristic, complemented
124#4951C2211yescharacteristic, complemented
125#4950C2211yescharacteristic, complemented
126#4950C2211yescharacteristic, complemented
127#4949C2211yescharacteristic, complemented
128#4948C2211yescharacteristic, complemented
129#4946C2211yescharacteristic, complemented
130#4945C2211yescharacteristic, complemented
131#4945C2211yescharacteristic, complemented
132#4945C2211yescharacteristic, complemented
133#4945C2211yescharacteristic, complemented
134#4940C2211yescharacteristic
135#4940C2211yescharacteristic, complemented
136#4939C2211yescharacteristic
137C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
138C4×Dic3⋊C4C2211yescharacteristic, complemented
139#4928C2211yescharacteristic, complemented
140#4677C2211yescharacteristic
141#4677C2211yescharacteristic, complemented
142#4677C2211yescharacteristic, complemented
143#4676C2211yescharacteristic
144#4675C2211yescharacteristic, complemented
145#4675C2211yescharacteristic, complemented
146#4674C2211yescharacteristic
147#4674C2211yescharacteristic
148#4674C2211yescharacteristic, complemented
149#4674C2211yescharacteristic, complemented
150#4674C2211yescharacteristic, complemented
151#4672C2211yescharacteristic, complemented
152#4672C2211yescharacteristic, complemented
153#4671C2211yescharacteristic
154#4670C2211yescharacteristic
155#4670C2211yescharacteristic
156#4670C2211yescharacteristic, complemented
157#4670C2211yescharacteristic, complemented
158#4670C2211yescharacteristic, complemented
159#4670C2211yescharacteristic, complemented
160#4669C2211yescharacteristic
161#4669C2211yescharacteristic, complemented
162#4669C2211yescharacteristic, complemented
163#4668C2211yescharacteristic, complemented
164#4667C2211yescharacteristic
165#4667C2211yescharacteristic
166#4667C2211yescharacteristic, complemented
167#4666C2211yescharacteristic
168#4666C2211yescharacteristic, complemented
169#4666C2211yescharacteristic, complemented
170#4666C2211yescharacteristic, complemented
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4664C2211yescharacteristic, complemented
178#4654C2211yescharacteristic, complemented
179#4654C2211yescharacteristic, complemented
180#4653C2211yescharacteristic, complemented
181#4650C2211yescharacteristic, complemented
182#4650C2211yescharacteristic, complemented
183#4649C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#2796—31no—
189#2796—31no—
190#2740—31no—
191#2740D311yescharacteristic, complemented
192#2735—31no—
193#2735—31no—
194#2697—31no—
195#2697—31no—
196#2602—31no—
197#2602—31no—
198#2566—31no—
199#2513—31no—
200#2513—31no—
201#2501—31no—
202#2490—31no—
203#2482—31no—
204#2482—31no—
205#2471—31no—
206#2471—31no—
207#2441—31no—
208#2420—31no—
209#2418—31no—
210#2418—31no—
211#2408—31no—
212#2395—31no—
213#2361—31no—
214#2354—31no—
215#2352—31no—
216D4×C22⋊C4—31no—
217#2314—31no—
218#2309—31no—
219C24×D3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C22×#67C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
228C2×D3×D4—24no—
229C2×D3×D4—24no—
230C2×D3×D4—42no—
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×C4×D3C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C2×C3×C4⋊C4C2311yescharacteristic
242C2×C3×C4⋊C4C2311yescharacteristic
243C2×C3×C4⋊C4C2311yescharacteristic
244C2×C3×C4⋊C4C2311yescharacteristic
245C2×C3×C4⋊C4C2311yescharacteristic
246C2×C3×C4⋊C4C2311yescharacteristic
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C22⋊C4C2311yescharacteristic
250C2×C3×C22⋊C4C2311yescharacteristic
251C2×C3×C22⋊C4C2311yescharacteristic
252C2×C3×C22⋊C4C2311yescharacteristic
253C2×C3×C22⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C42C2311yescharacteristic
261C2×C3×C42C2311yescharacteristic
262C2×#217C2311yescharacteristic
263C2×#217C2311yescharacteristic
264C2×#217C2311yescharacteristic
265C2×#217C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C4×#67—24no—
272C2×(C2×D3)⋊C4—42no—
273C2×(C2×D3)⋊C4C2311yescharacteristic
274C2×(C2×D3)⋊C4C2311yescharacteristic
275C2×(C2×D3)⋊C4C2311yescharacteristic
276C2×(C2×D3)⋊C4C2311yescharacteristic
277C2×(C2×D3)⋊C4C2311yescharacteristic
278C2×(C2×D3)⋊C4C2311yescharacteristic
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
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
311#926—42no—
312C2×C4⋊Dic3C2311yescharacteristic
313C2×C4⋊Dic3C2311yescharacteristic
314C2×C4⋊Dic3C2311yescharacteristic
315C2×C4⋊Dic3C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×Dic3⋊C4C2311yescharacteristic
322C2×Dic3⋊C4C2311yescharacteristic
323C2×Dic3⋊C4C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×C4×Dic3C2311yescharacteristic
336C2×C4×Dic3C2311yescharacteristic
337C2×C4×Dic3C2311yescharacteristic
338C2×C4×Dic3C2311yescharacteristic
339C2×C4×Dic3C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346#894—42no—
347#894—42no—
348#893—24no—
349#892—24no—
350#892—42no—
351D3×C4⋊C4—42no—
352#889—42no—
353#884—24no—
354#884—42no—
355#883—42no—
356#883—42no—
357#882—42no—
358#882—42no—
359#67⋊C4—42no—
360#67⋊C4—42no—
361D3×C22⋊C4—42no—
362C4×D12—42no—
363#872—42no—
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
398C23×D4—31no—
399C2×#125—31no—
400C2×#123—31no—
401C2×#123—31no—
402C2×#123—31no—
403C2×#123—31no—
404C2×#121—31no—
405C2×#121—31no—
406C2×#120—31no—
407C2×#120—31no—
408C2×C4×D4—31no—
409C2×C4×D4—31no—
410C2×C4×D4—31no—
411C2×C4×D4—31no—
412C2×C4×D4—31no—
413C2×#117—31no—
414C2×#117—31no—
415C2×#117—31no—
416C2×#117—31no—
417C22×C4⋊C4—31no—
418C22×C22⋊C4—31no—
419C22×C22⋊C4—31no—
420#400—31no—
421#399—31no—
422#399—31no—
423#399—31no—
424#399—31no—
425#399—31no—
426#399—31no—
427#399C2×D311yescharacteristic, complemented
428#398C2×D311yescharacteristic, complemented
429#397—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#397C2×D311yescharacteristic, complemented
443#397C2×D311yescharacteristic, complemented
444#396—31no—
445#396—31no—
446#396—31no—
447#396—31no—
448#396—31no—
449#396C2×D311yescharacteristic, complemented
450#394—31no—
451#394—31no—
452#394—31no—
453#394—31no—
454#394—31no—
455#394—31no—
456#394—31no—
457#394C2×D311yescharacteristic
458#392—31no—
459#392—31no—
460#390—31no—
461#390—31no—
462#390—31no—
463#390—31no—
464#390—31no—
465#390—31no—
466#390—31no—
467#390—31no—
468#390—31no—
469#390—31no—
470#390—31no—
471#390—31no—
472#390—31no—
473#390C2×D311yescharacteristic
474#389—31no—
475#389—31no—
476#389—31no—
477#389—31no—
478#388—31no—
479#388—31no—
480#388—31no—
481#388—31no—
482#388—31no—
483#388—31no—
484#388—31no—
485#388—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#388C2×D311yescharacteristic, complemented
499#388C2×D311yescharacteristic, complemented
500#387—31no—
501#387—31no—
502#387—31no—
503#387—31no—
504#387—31no—
505#387C2×D311yescharacteristic, complemented
506#387C2×D311yescharacteristic, complemented
507#387C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic
518#385—31no—
519#385—31no—
520#385—31no—
521#385—31no—
522#385—31no—
523#385—31no—
524#384—31no—
525#384—31no—
526#382—31no—
527#382—31no—
528#381—31no—
529#381C2×D311yescharacteristic, complemented
530#380—31no—
531#380—31no—
532#380—31no—
533#380—31no—
534#380C2×D311yescharacteristic, complemented
535#379—31no—
536#379—31no—
537#379—31no—
538#379—31no—
539#379—31no—
540#379—31no—
541#379—31no—
542#379—31no—
543C4×C4⋊C4—31no—
544C4×C4⋊C4—31no—
545C4×C4⋊C4—31no—
546C4×C4⋊C4—31no—
547C4×C4⋊C4—31no—
548C4×C22⋊C4—31no—
549C4×C22⋊C4—31no—
550C4×C22⋊C4—31no—
551C4×C22⋊C4—31no—
552C4×C22⋊C4—31no—
553C24×C3C2411yescharacteristic
554C24×C3C2411yescharacteristic
555C23×D3—22no—
556C23×D3—22no—
557C23×D3—22no—
558C23×D3—22no—
559C23×D3—41no—
560C23×D3—41no—
561C23×D3—41no—
562C23×D3—41no—
563C23×D3—41no—
564C23×D3—41no—
565C23×D3—41no—
566C23×D3—41no—
567C23×D3—41no—
568C23×D3—41no—
569C23×D3C2411yescharacteristic
570C23×D3C2411yescharacteristic
571C23×D3C2411yescharacteristic
572C23×D3C2411yescharacteristic
573C2×C3×D4—22no—
574C2×C3×D4—22no—
575C2×C3×D4—41no—
576C22×C3×C4—22no—
577C22×C3×C4—22no—
578C22×C3×C4—41no—
579C22×C3×C4C2411yescharacteristic
580C22×C3×C4C2411yescharacteristic
581C22×C3×C4C2411yescharacteristic
582C22×C3×C4C2411yescharacteristic
583C22×C3×C4C2411yescharacteristic
584C22×C3×C4C2411yescharacteristic
585C22×C3×C4C2411yescharacteristic
586C22×C3×C4C2411yescharacteristic
587C22×C3×C4C2411yescharacteristic
588C22×C3×C4C2411yescharacteristic
589C22×C3×C4C2411yescharacteristic
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C2×#67—22no—
593C2×#67—22no—
594C2×#67—22no—
595C2×#67—22no—
596C2×#67—22no—
597C2×#67—22no—
598C2×#67—22no—
599C2×#67—22no—
600C2×#67—41no—
601C2×#67—41no—
602C2×#67—41no—
603C2×#67#4114yes—
604C22×Dic3—41no—
605C22×Dic3—41no—
606C22×Dic3—41no—
607C22×Dic3C2411yescharacteristic
608C22×Dic3C2411yescharacteristic
609C22×Dic3C2411yescharacteristic
610C22×Dic3C2411yescharacteristic
611C22×Dic3C2411yescharacteristic
612C22×Dic3C2411yescharacteristic
613C22×Dic3C2411yescharacteristic
614C22×Dic3C2411yescharacteristic
615C22×Dic3C2411yescharacteristic
616C22×Dic3C2411yescharacteristic
617C22×Dic3C2411yescharacteristic
618C22×Dic3C2411yescharacteristic
619D3×D4—416no—
620C2×D12—22no—
621C2×D12—22no—
622C2×D12—22no—
623C2×D12—22no—
624C2×D12—22no—
625C2×D12—22no—
626C2×D12—22no—
627C2×D12—41no—
628C2×D12—41no—
629C2×D12—41no—
630C2×D12—41no—
631C2×D12—41no—
632C2×C4×D3—22no—
633C2×C4×D3—22no—
634C2×C4×D3—22no—
635C2×C4×D3—22no—
636C2×C4×D3—22no—
637C2×C4×D3—22no—
638C2×C4×D3—22no—
639C2×C4×D3—22no—
640C2×C4×D3—22no—
641C2×C4×D3—41no—
642C2×C4×D3—41no—
643C2×C4×D3—41no—
644C2×C4×D3—41no—
645C2×C4×D3—41no—
646C2×C4×D3—41no—
647C2×C4×D3—41no—
648C2×C4×D3—41no—
649C2×C4×D3#4114yes—
650C3×C4⋊C4—22no—
651C3×C4⋊C4—22no—
652C3×C4⋊C4—22no—
653C3×C4⋊C4—41no—
654C3×C4⋊C4—41no—
655C3×C4⋊C4—41no—
656C3×C4⋊C4—41no—
657C3×C4⋊C4—41no—
658C3×C22⋊C4—22no—
659C3×C22⋊C4—22no—
660C3×C22⋊C4—41no—
661C3×C22⋊C4—41no—
662C3×C22⋊C4—41no—
663C3×C22⋊C4—41no—
664C3×C22⋊C4—41no—
665C3×C22⋊C4—41no—
666C3×C22⋊C4—41no—
667C3×C22⋊C4—41no—
668C3×C22⋊C4—41no—
669C3×C42—41no—
670C3×C42—41no—
671#217—22no—
672#217—41no—
673#217—41no—
674#217—41no—
675#217—41no—
676#217—41no—
677#217—41no—
678#217—41no—
679#217—41no—
680(C2×D3)⋊C4—22no—
681(C2×D3)⋊C4—22no—
682(C2×D3)⋊C4—22no—
683(C2×D3)⋊C4—22no—
684(C2×D3)⋊C4—22no—
685(C2×D3)⋊C4—22no—
686(C2×D3)⋊C4—22no—
687(C2×D3)⋊C4—22no—
688(C2×D3)⋊C4—22no—
689(C2×D3)⋊C4—22no—
690(C2×D3)⋊C4—22no—
691(C2×D3)⋊C4—41no—
692(C2×D3)⋊C4—41no—
693(C2×D3)⋊C4—41no—
694(C2×D3)⋊C4—41no—
695(C2×D3)⋊C4—41no—
696(C2×D3)⋊C4—41no—
697(C2×D3)⋊C4—41no—
698(C2×D3)⋊C4—41no—
699(C2×D3)⋊C4—41no—
700(C2×D3)⋊C4—41no—
701(C2×D3)⋊C4—41no—
702(C2×D3)⋊C4—41no—
703(C2×D3)⋊C4—41no—
704(C2×D3)⋊C4—41no—
705(C2×D3)⋊C4—41no—
706(C2×D3)⋊C4—41no—
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—
718C4⋊Dic3—22no—
719C4⋊Dic3—22no—
720C4⋊Dic3—22no—
721C4⋊Dic3—41no—
722C4⋊Dic3—41no—
723C4⋊Dic3—41no—
724C4⋊Dic3—41no—
725C4⋊Dic3—41no—
726C4⋊Dic3—41no—
727Dic3⋊C4—22no—
728Dic3⋊C4—22no—
729Dic3⋊C4—22no—
730Dic3⋊C4—22no—
731Dic3⋊C4—22no—
732Dic3⋊C4—22no—
733Dic3⋊C4—41no—
734Dic3⋊C4—41no—
735Dic3⋊C4—41no—
736Dic3⋊C4—41no—
737Dic3⋊C4—41no—
738Dic3⋊C4—41no—
739Dic3⋊C4—41no—
740Dic3⋊C4—41no—
741C4×Dic3—22no—
742C4×Dic3—22no—
743C4×Dic3—22no—
744C4×Dic3—22no—
745C4×Dic3—22no—
746C4×Dic3—41no—
747C4×Dic3—41no—
748C4×Dic3—41no—
749C4×Dic3—41no—
750C4×Dic3—41no—
751C4×Dic3—41no—
752C25—31no—
753C25—31no—
754C22×D4—31no—
755C22×D4—31no—
756C22×D4—31no—
757C22×D4—31no—
758C22×D4—31no—
759C22×D4—31no—
760C22×D4—31no—
761C22×D4—31no—
762C22×D4—64no—
763C22×D4—64no—
764C22×D4—122no—
765C22×D4C22×D311yescharacteristic
766C23×C4—31no—
767C23×C4—31no—
768C23×C4—31no—
769C23×C4—31no—
770C23×C4—31no—
771C23×C4—31no—
772C23×C4—31no—
773C23×C4C22×D311yescharacteristic
774#125—122no—
775#123—122no—
776#123—122no—
777#123—122no—
778#123—122no—
779#121—64no—
780#121—122no—
781#120—122no—
782#120—122no—
783C4×D4—64no—
784C4×D4—64no—
785C4×D4—122no—
786C4×D4—122no—
787C4×D4—122no—
788#117—64no—
789#117—122no—
790#117—122no—
791#117—122no—
792C2×C4⋊C4—31no—
793C2×C4⋊C4—31no—
794C2×C4⋊C4—31no—
795C2×C4⋊C4—31no—
796C2×C4⋊C4—31no—
797C2×C4⋊C4—31no—
798C2×C4⋊C4—31no—
799C2×C4⋊C4—31no—
800C2×C4⋊C4—31no—
801C2×C4⋊C4—31no—
802C2×C4⋊C4—31no—
803C2×C4⋊C4—31no—
804C2×C4⋊C4—31no—
805C2×C4⋊C4—31no—
806C2×C4⋊C4—31no—
807C2×C4⋊C4—31no—
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—122no—
816C2×C4⋊C4C22×D311yescharacteristic
817C2×C4⋊C4C22×D311yescharacteristic
818C2×C4⋊C4C22×D311yescharacteristic
819C2×C4⋊C4C22×D311yescharacteristic
820C2×C4⋊C4C22×D311yescharacteristic
821C2×C4⋊C4C22×D311yescharacteristic
822C2×C4⋊C4C22×D311yescharacteristic
823C2×C4⋊C4C22×D311yescharacteristic
824C2×C22⋊C4—31no—
825C2×C22⋊C4—31no—
826C2×C22⋊C4—31no—
827C2×C22⋊C4—31no—
828C2×C22⋊C4—31no—
829C2×C22⋊C4—31no—
830C2×C22⋊C4—31no—
831C2×C22⋊C4—31no—
832C2×C22⋊C4—31no—
833C2×C22⋊C4—31no—
834C2×C22⋊C4—31no—
835C2×C22⋊C4—31no—
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—122no—
872C2×C22⋊C4—122no—
873C2×C22⋊C4C22×D311yescharacteristic
874C2×C22⋊C4C22×D311yescharacteristic
875C2×C22⋊C4C22×D311yescharacteristic
876C2×C22⋊C4C22×D311yescharacteristic
877C2×C22⋊C4C22×D311yescharacteristic
878C2×C22⋊C4C22×D311yescharacteristic
879C2×C22⋊C4C22×D311yescharacteristic
880C2×C22⋊C4C22×D311yescharacteristic
881C2×C22⋊C4C22×D311yescharacteristic
882C2×C22⋊C4C22×D311yescharacteristic
883C2×C22⋊C4C22×D311yescharacteristic
884C2×C42—31no—
885C2×C42—31no—
886C2×C42—31no—
887C2×C42—31no—
888C2×C42—31no—
889C2×C42—31no—
890C2×C42—31no—
891C2×C42—31no—
892C2×C42—31no—
893C2×C42—31no—
894C2×C42—31no—
895C2×C42C22×D311yescharacteristic
896C2×C42C22×D311yescharacteristic
897#95—31no—
898#95—31no—
899#95—31no—
900#95—31no—
901#95—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#95C22×D311yescharacteristic
920#95C22×D311yescharacteristic
921#95C22×D311yescharacteristic
922#95C22×D311yescharacteristic
923#95C22×D311yescharacteristic
924#95C22×D311yescharacteristic
925#95C22×D311yescharacteristic
926#95C22×D311yescharacteristic
927#95C22×D311yescharacteristic
928#95C22×D311yescharacteristic
929#95C22×D311yescharacteristic
930#95C22×D311yescharacteristic
931C23×C3—21no—
932C23×C3—21no—
933C23×C3—21no—
934C23×C3—21no—
935C23×C3—21no—
936C23×C3—21no—
937C23×C3—21no—
938C23×C3—21no—
939C23×C3—21no—
940C23×C3—21no—
941C23×C3—21no—
942C23×C3—21no—
943C23×C3—21no—
944C23×C3C2×#4112yes—
945C23×C3C2511yescharacteristic
946C22×D3—21no—
947C22×D3—21no—
948C22×D3—21no—
949C22×D3—21no—
950C22×D3—21no—
951C22×D3—21no—
952C22×D3—21no—
953C22×D3—21no—
954C22×D3—21no—
955C22×D3—21no—
956C22×D3—21no—
957C22×D3—21no—
958C22×D3—21no—
959C22×D3—21no—
960C22×D3—21no—
961C22×D3—21no—
962C22×D3—21no—
963C22×D3—21no—
964C22×D3—21no—
965C22×D3—21no—
966C22×D3—21no—
967C22×D3—21no—
968C22×D3—21no—
969C22×D3—21no—
970C22×D3—21no—
971C22×D3—44no—
972C22×D3—44no—
973C22×D3—44no—
974C22×D3—44no—
975C22×D3—82no—
976C22×D3—82no—
977C22×D3—82no—
978C22×D3—82no—
979C22×D3—82no—
980C22×D3—82no—
981C22×D3—82no—
982C22×D3—82no—
983C22×D3—82no—
984C22×D3—82no—
985C22×D3C2×#4112yes—
986C22×D3C2×#4112yes—
987C22×D3H(5,𝔽2)12yes—
988C3×D4—44no—
989C2×C3×C4—21no—
990C2×C3×C4—21no—
991C2×C3×C4—21no—
992C2×C3×C4—21no—
993C2×C3×C4—21no—
994C2×C3×C4—21no—
995C2×C3×C4—21no—
996C2×C3×C4—21no—
997C2×C3×C4—21no—
998C2×C3×C4—21no—
999C2×C3×C4—21no—
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—44no—
1027C2×C3×C4C2×#4112yes—
1028C2×C3×C4H(5,𝔽2)12yes—
1029#67—28no—
1030#67—44no—
1031#67—44no—
1032#67—82no—
1033C2×Dic3—21no—
1034C2×Dic3—21no—
1035C2×Dic3—21no—
1036C2×Dic3—21no—
1037C2×Dic3—21no—
1038C2×Dic3—21no—
1039C2×Dic3—21no—
1040C2×Dic3—21no—
1041C2×Dic3—21no—
1042C2×Dic3—21no—
1043C2×Dic3—21no—
1044C2×Dic3—21no—
1045C2×Dic3—21no—
1046C2×Dic3—21no—
1047C2×Dic3—21no—
1048C2×Dic3—21no—
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—82no—
1067C2×Dic3C2×#4112yes—
1068C2×Dic3C2×#4112yes—
1069C2×Dic3H(5,𝔽2)12yes—
1070D12—44no—
1071D12—44no—
1072D12—44no—
1073D12—82no—
1074C4×D3—28no—
1075C4×D3—44no—
1076C4×D3—44no—
1077C4×D3—82no—
1078C4×D3—82no—
1079C4×D3—82no—
1080C24—31no—
1081C24—31no—
1082C24—31no—
1083C24—31no—
1084C24—62no—
1085C24—62no—
1086C24—62no—
1087C24—62no—
1088C24—121no—
1089C24—121no—
1090C24—121no—
1091C24—121no—
1092C24—121no—
1093C24—121no—
1094C24—121no—
1095C24—121no—
1096C24—121no—
1097C24—121no—
1098C24C23×D311yescharacteristic
1099C24C23×D311yescharacteristic
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—34no—
1103C2×D4—41no—
1104C2×D4—62no—
1105C2×D4—62no—
1106C2×D4—62no—
1107C2×D4—62no—
1108C2×D4—62no—
1109C2×D4—62no—
1110C2×D4—62no—
1111C2×D4—62no—
1112C2×D4—62no—
1113C2×D4—62no—
1114C2×D4—62no—
1115C2×D4—62no—
1116C2×D4—62no—
1117C2×D4—62no—
1118C2×D4—62no—
1119C2×D4—121no—
1120C2×D4—121no—
1121C2×D4—121no—
1122C2×D4—121no—
1123C2×D4—121no—
1124C2×D4—1216no—
1125C2×D4—121no—
1126C2×D4—121no—
1127C2×D4—121no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—31no—
1131C22×C4—34no—
1132C22×C4—31no—
1133C22×C4—31no—
1134C22×C4—31no—
1135C22×C4—31no—
1136C22×C4—31no—
1137C22×C4—31no—
1138C22×C4—31no—
1139C22×C4—31no—
1140C22×C4—31no—
1141C22×C4—31no—
1142C22×C4—31no—
1143C22×C4—41no—
1144C22×C4—62no—
1145C22×C4—62no—
1146C22×C4—62no—
1147C22×C4—62no—
1148C22×C4—62no—
1149C22×C4—62no—
1150C22×C4—62no—
1151C22×C4—62no—
1152C22×C4—62no—
1153C22×C4—121no—
1154C22×C4—121no—
1155C22×C4—121no—
1156C22×C4—121no—
1157C22×C4—121no—
1158C22×C4—121no—
1159C22×C4—121no—
1160C22×C4—121no—
1161C22×C4—121no—
1162C22×C4—121no—
1163C22×C4—121no—
1164C22×C4C23×D311yescharacteristic
1165C22×C4C23×D311yescharacteristic
1166C22×C4C23×D311yescharacteristic
1167C22×C4C23×D311yescharacteristic
1168C22×C4C23×D311yescharacteristic
1169C22×C4C23×D311yescharacteristic
1170C22×C4C23×D311yescharacteristic
1171C22×C4C23×D311yescharacteristic
1172C22×C4C23×D311yescharacteristic
1173C22×C4C23×D311yescharacteristic
1174C22×C4C23×D311yescharacteristic
1175C22×C4C23×D311yescharacteristic
1176C22×C4C23×D311yescharacteristic
1177C4⋊C4—22no—
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—62no—
1186C4⋊C4—62no—
1187C4⋊C4—62no—
1188C4⋊C4—62no—
1189C4⋊C4—62no—
1190C4⋊C4—62no—
1191C4⋊C4—62no—
1192C4⋊C4—62no—
1193C4⋊C4—62no—
1194C4⋊C4—121no—
1195C4⋊C4—121no—
1196C4⋊C4—121no—
1197C4⋊C4—121no—
1198C4⋊C4—121no—
1199C4⋊C4—121no—
1200C4⋊C4—121no—
1201C4⋊C4—121no—
1202C4⋊C4—121no—
1203C4⋊C4—121no—
1204C4⋊C4—121no—
1205C4⋊C4—121no—
1206C4⋊C4—121no—
1207C4⋊C4—121no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—62no—
1220C22⋊C4—62no—
1221C22⋊C4—62no—
1222C22⋊C4—62no—
1223C22⋊C4—62no—
1224C22⋊C4—62no—
1225C22⋊C4—62no—
1226C22⋊C4—62no—
1227C22⋊C4—62no—
1228C22⋊C4—62no—
1229C22⋊C4—62no—
1230C22⋊C4—62no—
1231C22⋊C4—121no—
1232C22⋊C4—121no—
1233C22⋊C4—121no—
1234C22⋊C4—121no—
1235C22⋊C4—121no—
1236C22⋊C4—121no—
1237C22⋊C4—121no—
1238C22⋊C4—121no—
1239C22⋊C4—121no—
1240C22⋊C4—121no—
1241C22⋊C4—121no—
1242C22⋊C4—121no—
1243C22⋊C4—121no—
1244C22⋊C4—121no—
1245C22⋊C4—121no—
1246C22⋊C4—121no—
1247C22⋊C4—121no—
1248C22⋊C4—121no—
1249C22⋊C4—121no—
1250C22⋊C4—121no—
1251C22⋊C4—121no—
1252C22⋊C4—121no—
1253C22⋊C4—121no—
1254C22⋊C4—121no—
1255C22⋊C4—121no—
1256C22⋊C4—121no—
1257C22⋊C4—121no—
1258C22⋊C4—121no—
1259C22⋊C4—121no—
1260C22⋊C4—121no—
1261C22⋊C4—121no—
1262C22⋊C4—121no—
1263C22⋊C4—121no—
1264C22⋊C4—121no—
1265C22⋊C4—121no—
1266C42—41no—
1267C42—41no—
1268C42—62no—
1269C42—62no—
1270C42—62no—
1271C42—62no—
1272C42—62no—
1273C42—121no—
1274C42—121no—
1275C42—121no—
1276C42—121no—
1277C42—121no—
1278C42—121no—
1279C22×C3—22no—
1280C22×C3—22no—
1281C22×C3—22no—
1282C22×C3—41no—
1283C22×C3—41no—
1284C22×C3—41no—
1285C22×C3—41no—
1286C22×C3—41no—
1287C22×C3—41no—
1288C22×C3—41no—
1289C22×C3—41no—
1290C22×C3—41no—
1291C22×C3—41no—
1292C22×C3—41no—
1293C22×C3C22×#4111yescharacteristic
1294C22×C3C22×#4111yescharacteristic
1295C22×C3C2×H(5,𝔽2)11yescharacteristic
1296C22×C3C2×H(5,𝔽2)11yescharacteristic
1297C22×C3C2×H(5,𝔽2)11yescharacteristic
1298C22×C3#58511yescharacteristic
1299C22×C3#58511yescharacteristic
1300C2×D3—22no—
1301C2×D3—22no—
1302C2×D3—22no—
1303C2×D3—22no—
1304C2×D3—22no—
1305C2×D3—22no—
1306C2×D3—22no—
1307C2×D3—22no—
1308C2×D3—22no—
1309C2×D3—41no—
1310C2×D3—41no—
1311C2×D3—41no—
1312C2×D3—41no—
1313C2×D3—41no—
1314C2×D3—41no—
1315C2×D3—41no—
1316C2×D3—41no—
1317C2×D3—41no—
1318C2×D3—41no—
1319C2×D3—41no—
1320C2×D3—41no—
1321C2×D3—41no—
1322C2×D3—41no—
1323C2×D3—41no—
1324C2×D3—41no—
1325C2×D3—41no—
1326C2×D3—41no—
1327C2×D3—41no—
1328C2×D3—88no—
1329C2×D3—88no—
1330C3×C4—22no—
1331C3×C4—22no—
1332C3×C4—41no—
1333C3×C4—41no—
1334C3×C4—41no—
1335C3×C4—41no—
1336C3×C4—41no—
1337C3×C4—41no—
1338C3×C4—41no—
1339C3×C4—41no—
1340C3×C4—41no—
1341C3×C4—41no—
1342C3×C4—41no—
1343Dic3—41no—
1344Dic3—41no—
1345Dic3—41no—
1346Dic3—41no—
1347Dic3—41no—
1348Dic3—41no—
1349Dic3—41no—
1350Dic3—41no—
1351Dic3—41no—
1352Dic3—41no—
1353Dic3—41no—
1354Dic3#55114yes—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—32no—
1369C23—32no—
1370C23—32no—
1371C23—61no—
1372C23—61no—
1373C23—61no—
1374C23—61no—
1375C23—61no—
1376C23—61no—
1377C23—61no—
1378C23—61no—
1379C23—61no—
1380C23—61no—
1381C23—61no—
1382C23—61no—
1383C23—61no—
1384C23—61no—
1385C23—61no—
1386C23—61no—
1387C23—61no—
1388C23—61no—
1389C23—61no—
1390C23—61no—
1391C23—61no—
1392C23—61no—
1393C23—61no—
1394C23—61no—
1395C23—61no—
1396C23—124no—
1397C23—124no—
1398C23—124no—
1399C23—124no—
1400C23—242no—
1401C23—242no—
1402C23—242no—
1403C23—242no—
1404C23—242no—
1405C23—242no—
1406C23—242no—
1407C23—242no—
1408C23—242no—
1409C23—242no—
1410C23D3×#4112yes—
1411C23C24×D311yescharacteristic
1412D4—44no—
1413D4—68no—
1414D4—124no—
1415D4—124no—
1416D4—124no—
1417D4—124no—
1418D4—124no—
1419D4—242no—
1420D4—242no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
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—32no—
1459C2×C4—32no—
1460C2×C4—32no—
1461C2×C4—44no—
1462C2×C4—68no—
1463C2×C4—61no—
1464C2×C4—61no—
1465C2×C4—61no—
1466C2×C4—61no—
1467C2×C4—61no—
1468C2×C4—61no—
1469C2×C4—61no—
1470C2×C4—61no—
1471C2×C4—61no—
1472C2×C4—61no—
1473C2×C4—61no—
1474C2×C4—61no—
1475C2×C4—61no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
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—124no—
1497C2×C4—124no—
1498C2×C4—242no—
1499C2×C4—242no—
1500C2×C4—242no—
1501C2×C4—242no—
1502C2×C4D3×#4112yes—
1503C2×C4#100912yes—
1504C2×C3—42no—
1505C2×C3—81no—
1506C2×C3C2×#55111yescharacteristic
1507C2×C3#349411yescharacteristic
1508C2×C3#350611yescharacteristic
1509C2×C3#351311yescharacteristic
1510C2×C3#351311yescharacteristic
1511C2×C3#354311yescharacteristic
1512C2×C3#356211yescharacteristic
1513D3—42no—
1514D3—42no—
1515D3—42no—
1516D3—81no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—62no—
1532C22—62no—
1533C22—62no—
1534C22—62no—
1535C22—62no—
1536C22—62no—
1537C22—62no—
1538C22—62no—
1539C22—62no—
1540C22—121no—
1541C22—121no—
1542C22—121no—
1543C22—121no—
1544C22—121no—
1545C22—121no—
1546C22—121no—
1547C22—121no—
1548C22—121no—
1549C22—121no—
1550C22—121no—
1551C22—121no—
1552C22—121no—
1553C22—121no—
1554C22—121no—
1555C22—121no—
1556C22—121no—
1557C22—121no—
1558C22—121no—
1559C22—248no—
1560C22—248no—
1561C22C2×D3×#4111yescharacteristic
1562C22C2×D3×#4111yescharacteristic
1563C22C2×#100911yescharacteristic
1564C22D3×H(5,𝔽2)11yescharacteristic
1565C22D3×H(5,𝔽2)11yescharacteristic
1566C22#596611yescharacteristic
1567C22#596811yescharacteristic
1568C4—22no—
1569C4—22no—
1570C4—34no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—121no—
1583C4—121no—
1584C4—121no—
1585C4—121no—
1586C4—121no—
1587C4—121no—
1588C4—121no—
1589C4—121no—
1590C4—121no—
1591C4—121no—
1592C4—121no—
1593C3#4501911yescharacteristic, complemented, Sylow
1594C2—42no—
1595C2—81no—
1596C2—122no—
1597C2—122no—
1598C2—122no—
1599C2—241no—
1600C2#8645511yescharacteristic
1601C2#8648511yescharacteristic
1602C2#8649311yescharacteristic
1603C2#8679511yescharacteristic
1604C2D3×#55111yescharacteristic
1605C2#8700511yescharacteristic
1606C2#8710211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2740C2
prime radical#76895C2
hypercenter#2740D3
hypocenterC3#45019
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2740

Complements

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

NH ≅ G/Ntype
1. C3×#2740C2semidirect
2. #78105C2semidirect
3. #78030C2semidirect
4. #77990C2semidirect
5. #77738C2semidirect
6. #77705C2semidirect
7. #77696C2semidirect
8. #77495C2semidirect
9. #77487C2semidirect
10. #77437C2semidirect
11. #77320C2semidirect
12. #77074C2semidirect
14. #76428C2semidirect
15. #76370C2semidirect
16. #75934C2semidirect
17. #75844C2semidirect
18. #75553C2semidirect
19. #75477C2semidirect
20. #75440C2semidirect
21. #75374C2semidirect
22. #75332C2semidirect
23. #75305C2semidirect
24. #74984C2semidirect
25. #74944C2semidirect
26. #74878C2semidirect
27. #74726C2semidirect
28. #74129C2semidirect
29. #74066C2semidirect
30. #74021C2semidirect
31. #73885C2semidirect
36. C2×#926C22semidirect
37. C2×#894C22semidirect
38. C2×#894C22semidirect
41. C2×#892C22semidirect
42. C2×D3×C4⋊C4C22semidirect
43. C2×#889C22semidirect
46. C2×#883C22semidirect
47. C2×#883C22semidirect
51. C2×#67⋊C4C22semidirect
53. C2×C4×D12C22semidirect
55. C3×#399C22semidirect
56. C3×#398C22semidirect
57. C3×#397C22semidirect
58. C3×#397C22semidirect
59. C3×#396C22semidirect
62. C3×#388C22semidirect
63. C3×#388C22semidirect
64. C3×#387C22semidirect
65. C3×#387C22semidirect
66. C3×#387C22semidirect
68. C3×#381C22semidirect
69. C3×#380C22semidirect
73. #5213C22semidirect
75. #4994C22semidirect
76. #4994C22semidirect
78. #4993C22semidirect
79. #4992C22semidirect
80. #4992C22semidirect
86. #4990C22semidirect
87. #4989C22semidirect
88. #4989C22semidirect
90. #4988C22semidirect
91. #4987C22semidirect
92. #4986C22semidirect
93. #4980C22semidirect
94. #4980C22semidirect
95. #4975C22semidirect
96. #4975C22semidirect
97. Dic3×C4⋊C4C22semidirect
98. Dic3×C4⋊C4C22semidirect
99. #4961C22semidirect
100. #4961C22semidirect
109. #4957C22semidirect
110. #4956C22semidirect
119. #4953C22semidirect
120. #4953C22semidirect
121. #4952C22semidirect
122. #4952C22semidirect
123. #4951C22semidirect
124. #4951C22semidirect
125. #4950C22semidirect
126. #4950C22semidirect
127. #4949C22semidirect
128. #4948C22semidirect
129. #4946C22semidirect
130. #4945C22semidirect
131. #4945C22semidirect
132. #4945C22semidirect
133. #4945C22semidirect
135. #4940C22semidirect
137. C4×(C2×D3)⋊C4C22semidirect
138. C4×Dic3⋊C4C22semidirect
139. #4928C22semidirect
141. #4677C22semidirect
142. #4677C22semidirect
144. #4675C22semidirect
145. #4675C22semidirect
148. #4674C22semidirect
149. #4674C22semidirect
150. #4674C22semidirect
151. #4672C22semidirect
152. #4672C22semidirect
156. #4670C22semidirect
157. #4670C22semidirect
158. #4670C22semidirect
159. #4670C22semidirect
161. #4669C22semidirect
162. #4669C22semidirect
163. #4668C22semidirect
166. #4667C22semidirect
168. #4666C22semidirect
169. #4666C22semidirect
170. #4666C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4664C22semidirect
178. #4654C22semidirect
179. #4654C22semidirect
180. #4653C22semidirect
181. #4650C22semidirect
182. #4650C22semidirect
183. #4649C22semidirect
184. #4649C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
191. #2740D3semidirect
427. #399C2×D3semidirect
428. #398C2×D3semidirect
442. #397C2×D3semidirect
443. #397C2×D3semidirect
449. #396C2×D3semidirect
498. #388C2×D3semidirect
499. #388C2×D3semidirect
505. #387C2×D3semidirect
506. #387C2×D3semidirect
507. #387C2×D3semidirect
529. #381C2×D3semidirect
534. #380C2×D3semidirect
1593. C3#45019semidirect

Maximal subgroups

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

subgroupindex
C3×#27402
#781052
#780302
#779902
#777382
#777052
#776962
#774952
#774872
#774372
#773202
#770742
#768952
#764282
#763702
#759342
#758442
#755532
#754772
#754402
#753742
#753322
#753052
#749842
#749442
#748782
#747262
#741292
#740662
#740212
#738852
#450193