Finite Group Databasebeta

← #11635443

Subgroups — #11635443

Order 768.

2386 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5691C211yesmaximal, characteristic, complemented
2C2×#5527C211yesmaximal, characteristic, complemented
3C3×#2475C211yesmaximal, characteristic, complemented
4#83035C211yesmaximal, characteristic, complemented
5#82241C211yesmaximal, characteristic, complemented
6#78372C211yesmaximal, characteristic, complemented
7#78344C211yesmaximal, characteristic, complemented
8#77948C211yesmaximal, characteristic, complemented
9#77745C211yesmaximal, characteristic, complemented
10#77669C211yesmaximal, characteristic, complemented
11#77594C211yesmaximal, characteristic, complemented
12#77416C211yesmaximal, characteristic
13#77287C211yesmaximal, characteristic, complemented
14#76203C211yesmaximal, characteristic, complemented
15#76130C211yesmaximal, characteristic, complemented
16#75842C211yesmaximal, characteristic, complemented
17#75838C211yesmaximal, characteristic, complemented
18D3×#388C211yesmaximal, characteristic, complemented
19#75511C211yesmaximal, characteristic, complemented
20#75339C211yesmaximal, characteristic, complemented
21#75319C211yesmaximal, characteristic, complemented
22#75307C211yesmaximal, characteristic, complemented
23#75018C211yesmaximal, characteristic, complemented
24#75010C211yesmaximal, characteristic, complemented
25#75004C211yesmaximal, characteristic, complemented
26#74611C211yesmaximal, characteristic, complemented
27#74596C211yesmaximal, characteristic, complemented
28#74519C211yesmaximal, characteristic, complemented
29#74413C211yesmaximal, characteristic, complemented
30#73788C211yesmaximal, characteristic, complemented
31#73755C211yesmaximal, characteristic, complemented
32#59108—31nomaximal, Sylow
33C2×C3×#125C2211yescharacteristic, complemented
34C2×C3×#117C2211yescharacteristic
35C2×#929C2211yescharacteristic
36C2×C4×#67C2211yescharacteristic
37C22×(C2×D3)⋊C4C2211yescharacteristic
38#5691—28no—
39#5527—28no—
40C2×#898C2211yescharacteristic
41C2×#898C2211yescharacteristic, complemented
42C2×#898C2211yescharacteristic, complemented
43C2×#897C2211yescharacteristic
44C2×#896C2211yescharacteristic
45C2×#895C2211yescharacteristic
46C2×#895C2211yescharacteristic
47C2×#894C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic, complemented
51C2×#893C2211yescharacteristic
52C2×#893C2211yescharacteristic
53C2×#893C2211yescharacteristic
54C2×#893C2211yescharacteristic, complemented
55C2×#892C2211yescharacteristic, complemented
56C2×#892C2211yescharacteristic, complemented
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×#888C2211yescharacteristic, complemented
59C2×#887C2211yescharacteristic, complemented
60C2×#883C2211yescharacteristic
61C2×#882C2211yescharacteristic
62C2×#882C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×#878C2211yescharacteristic
68C2×#878C2211yescharacteristic
69C2×#876C2211yescharacteristic
70C2×#875C2211yescharacteristic
71C2×#875C2211yescharacteristic, complemented
72C2×C4×D12C2211yescharacteristic
73C2×#872C2211yescharacteristic
74C2×#872C2211yescharacteristic
75C2×C42×D3C2211yescharacteristic
76C3×#400C2211yescharacteristic, complemented
77C3×#398C2211yescharacteristic, complemented
78C3×#397C2211yescharacteristic
79C3×#396C2211yescharacteristic
80C3×#389C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic
82C3×#388C2211yescharacteristic
83C3×#387C2211yescharacteristic, complemented
84C3×#387C2211yescharacteristic, complemented
85C3×#387C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic
87C3×#385C2211yescharacteristic
88C3×C4×C4⋊C4C2211yescharacteristic, complemented
89#5212C2211yescharacteristic
90#4994C2211yescharacteristic
91#4994C2211yescharacteristic
92#4993C2211yescharacteristic
93#4993C2211yescharacteristic, complemented
94#4991C2211yescharacteristic
95#4990C2211yescharacteristic
96#4990C2211yescharacteristic
97#4990C2211yescharacteristic
98#4990C2211yescharacteristic
99#4989C2211yescharacteristic
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic, complemented
102#4988C2211yescharacteristic
103#4987C2211yescharacteristic
104#4987C2211yescharacteristic, complemented
105#4987C2211yescharacteristic, complemented
106#4984C2211yescharacteristic, complemented
107#4982C2211yescharacteristic, complemented
108#4981C2211yescharacteristic, complemented
109#4979C2211yescharacteristic, complemented
110#4978C2211yescharacteristic, complemented
111#4977C2211yescharacteristic, complemented
112#4976C2211yescharacteristic, complemented
113#4976C2211yescharacteristic, complemented
114#4976C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116#4975C2211yescharacteristic, complemented
117Dic3×C4⋊C4C2211yescharacteristic, complemented
118#4960C2211yescharacteristic
119#4959C2211yescharacteristic
120#4959C2211yescharacteristic
121#4958C2211yescharacteristic
122#4957C2211yescharacteristic
123#4957C2211yescharacteristic
124#4956C2211yescharacteristic
125#4955C2211yescharacteristic
126#4951C2211yescharacteristic
127#4950C2211yescharacteristic
128#4948C2211yescharacteristic
129#4945C2211yescharacteristic
130#4944C2211yescharacteristic
131#4944C2211yescharacteristic
132Dic3×C22⋊C4C2211yescharacteristic
133#4940C2211yescharacteristic
134#4940C2211yescharacteristic, complemented
135#4940C2211yescharacteristic, complemented
136#4939C2211yescharacteristic
137C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
138C4×C4⋊Dic3C2211yescharacteristic, complemented
139C4×Dic3⋊C4C2211yescharacteristic, complemented
140C4×Dic3⋊C4C2211yescharacteristic, complemented
141C4×Dic3⋊C4C2211yescharacteristic, complemented
142#4677C2211yescharacteristic
143#4677C2211yescharacteristic, complemented
144#4676C2211yescharacteristic
145#4676C2211yescharacteristic, complemented
146#4675C2211yescharacteristic, complemented
147#4674C2211yescharacteristic, complemented
148#4673C2211yescharacteristic
149#4673C2211yescharacteristic, complemented
150#4672C2211yescharacteristic
151#4672C2211yescharacteristic
152#4672C2211yescharacteristic
153#4672C2211yescharacteristic, complemented
154#4670C2211yescharacteristic
155#4670C2211yescharacteristic
156#4670C2211yescharacteristic, complemented
157#4669C2211yescharacteristic
158#4669C2211yescharacteristic
159#4669C2211yescharacteristic, complemented
160#4669C2211yescharacteristic, complemented
161#4668C2211yescharacteristic
162#4668C2211yescharacteristic
163#4668C2211yescharacteristic
164#4668C2211yescharacteristic
165#4668C2211yescharacteristic, complemented
166#4668C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4667C2211yescharacteristic
170#4666C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177D3×#95C2211yescharacteristic
178D3×#95C2211yescharacteristic
179D3×#95C2211yescharacteristic, complemented
180#4661C2211yescharacteristic, complemented
181#4658C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#529—31no—
192#2727—31no—
193#2723—31no—
194#2718—31no—
195#2695—31no—
196#2519—31no—
197#2498—31no—
198#2491—31no—
199#2479—31no—
200#2475D311yescharacteristic, complemented
201#2474—31no—
202#2469—31no—
203#2461—31no—
204#2455—31no—
205#2450—31no—
206#2443—31no—
207#2440—31no—
208#2437—31no—
209#2429—31no—
210#2425—31no—
211#2424—31no—
212#2418—31no—
213#2411—31no—
214#2359—31no—
215#2359—31no—
216#2358—31no—
217#2354—31no—
218#2349—31no—
219#2296—31no—
220C2×#388—31no—
221C24×D3C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C22×#67C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C23×Dic3C2311yescharacteristic
226C22×D12C2311yescharacteristic
227C22×D12C2311yescharacteristic
228C22×D12C2311yescharacteristic
229C22×D12C2311yescharacteristic
230C22×D12C2311yescharacteristic
231C22×C4×D3C2311yescharacteristic
232C22×C4×D3C2311yescharacteristic
233C22×C4×D3C2311yescharacteristic
234C22×C4×D3C2311yescharacteristic
235C22×C4×D3C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×Dic6C2311yescharacteristic
242C22×Dic6C2311yescharacteristic
243C3×#125—24no—
244C3×#117—24no—
245C2×C3×C4⋊C4C2311yescharacteristic
246C2×C3×C4⋊C4C2311yescharacteristic
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C42C2311yescharacteristic
264C2×C3×C42C2311yescharacteristic
265C2×C3×C42C2311yescharacteristic
266C2×C3×C42C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271#929—24no—
272C4×#67—24no—
273C2×(C2×D3)⋊C4—24no—
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×C4⋊Dic3C2311yescharacteristic
311C2×C4⋊Dic3C2311yescharacteristic
312C2×C4⋊Dic3C2311yescharacteristic
313C2×C4⋊Dic3C2311yescharacteristic
314C2×C4⋊Dic3C2311yescharacteristic
315C2×C4⋊Dic3C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×Dic3⋊C4C2311yescharacteristic
320C2×Dic3⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
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
346C2×C4×Dic3C2311yescharacteristic
347#898—24no—
348#898—24no—
349#898—24no—
350#897—24no—
351#896—24no—
352#895—24no—
353#895—42no—
354#894—24no—
355#894—24no—
356#894—42no—
357#894D418yescomplemented
358#893—24no—
359#893—24no—
360#893—24no—
361#893—24no—
362#892—24no—
363#892—24no—
364D3×C4⋊C4—42no—
365#888—42no—
366#887—24no—
367#883—24no—
368#882—24no—
369#882—24no—
370#67⋊C4—24no—
371D3×C22⋊C4—24no—
372D3×C22⋊C4—24no—
373D3×C22⋊C4—42no—
374#878—24no—
375#878—42no—
376#876—24no—
377#875—24no—
378#875—24no—
379C4×D12—24no—
380#872—24no—
381#872—24no—
382C42×D3—24no—
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
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417#551—68no—
418C2×C4⋊Q8—31no—
419#529—68no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#126—31no—
423C2×#126—31no—
424C2×#125C2×D311yescharacteristic, complemented
425C2×#124—31no—
426C2×#124—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#120—31no—
440C2×#120—31no—
441C2×C4×Q8—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×#117—31no—
450C2×#117—31no—
451C2×#117—31no—
452C2×#117—31no—
453C2×#117C2×D311yescharacteristic
454C22×C4⋊C4—31no—
455C22×C22⋊C4—31no—
456C22×C22⋊C4—31no—
457C22×C22⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C42—31no—
460#400—31no—
461#400C2×D311yescharacteristic, complemented
462#399—31no—
463#399—31no—
464#399—31no—
465#399—31no—
466#398—31no—
467#398—31no—
468#398—31no—
469#398—31no—
470#398C2×D311yescharacteristic, complemented
471#397—31no—
472#397—31no—
473#397C2×D311yescharacteristic
474#396—31no—
475#396—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396C2×D311yescharacteristic
480#395—31no—
481#395—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#393—31no—
490#393—31no—
491#392—31no—
492#391—31no—
493#390—31no—
494#390—31no—
495#390—31no—
496#390—31no—
497#389—31no—
498#389—31no—
499#389—31no—
500#389—31no—
501#389—31no—
502#389—31no—
503#389—31no—
504#389—31no—
505#389C2×D311yescharacteristic, complemented
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388C2×D311yescharacteristic
525#388C2×D311yescharacteristic
526#387—31no—
527#387—31no—
528#387—31no—
529#387C2×D311yescharacteristic, complemented
530#387C2×D311yescharacteristic, complemented
531#387C2×D311yescharacteristic, complemented
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385C2×D311yescharacteristic
553#385C2×D311yescharacteristic
554#384—31no—
555#382—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#379—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4—31no—
564C4×C4⋊C4—31no—
565C4×C4⋊C4—31no—
566C4×C4⋊C4—31no—
567C4×C4⋊C4C2×D311yescharacteristic, complemented
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C2×#95—31no—
572C2×#95—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C23×D3—22no—
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C22×C3×C4—22no—
587C22×C3×C4—22no—
588C22×C3×C4—41no—
589C22×C3×C4C2411yescharacteristic
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C2×#67—22no—
604C2×#67—22no—
605C2×#67—22no—
606C2×#67—22no—
607C2×#67—41no—
608C2×#67—41no—
609C22×Dic3—22no—
610C22×Dic3—41no—
611C22×Dic3—41no—
612C22×Dic3C2411yescharacteristic
613C22×Dic3C2411yescharacteristic
614C22×Dic3C2411yescharacteristic
615C22×Dic3C2411yescharacteristic
616C22×Dic3C2411yescharacteristic
617C22×Dic3C2411yescharacteristic
618C22×Dic3C2411yescharacteristic
619C22×Dic3C2411yescharacteristic
620C22×Dic3C2411yescharacteristic
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C2×D12—22no—
625C2×D12—22no—
626C2×D12—22no—
627C2×D12—22no—
628C2×D12—22no—
629C2×D12—22no—
630C2×D12—22no—
631C2×D12—22no—
632C2×D12—22no—
633C2×D12—41no—
634C2×D12—41no—
635C2×D12—41no—
636C2×D12—41no—
637C2×D12—41no—
638C2×D12C2×D414yes—
639C2×C4×D3—22no—
640C2×C4×D3—22no—
641C2×C4×D3—22no—
642C2×C4×D3—22no—
643C2×C4×D3—22no—
644C2×C4×D3—22no—
645C2×C4×D3—22no—
646C2×C4×D3—22no—
647C2×C4×D3—22no—
648C2×C4×D3—22no—
649C2×C4×D3—22no—
650C2×C4×D3—22no—
651C2×C4×D3—22no—
652C2×C4×D3—22no—
653C2×C4×D3—22no—
654C2×C4×D3—22no—
655C2×C4×D3—41no—
656C2×C4×D3—41no—
657C2×C4×D3—41no—
658C2×C4×D3—41no—
659C2×C4×D3—41no—
660C2×C4×D3—41no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3C2×D414yes—
669C2×Dic6—22no—
670C2×Dic6—22no—
671C2×Dic6—22no—
672C2×Dic6—41no—
673C2×Dic6—41no—
674C2×Dic6—41no—
675C3×C4⋊C4—22no—
676C3×C4⋊C4—22no—
677C3×C4⋊C4—22no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—41no—
685C3×C4⋊C4—41no—
686C3×C4⋊C4C2×D414yes—
687C3×C22⋊C4—22no—
688C3×C22⋊C4—22no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C42—22no—
694C3×C42—22no—
695C3×C42—22no—
696C3×C42—22no—
697#217—22no—
698#217—41no—
699#217—41no—
700#217#4114yes—
701(C2×D3)⋊C4—22no—
702(C2×D3)⋊C4—22no—
703(C2×D3)⋊C4—22no—
704(C2×D3)⋊C4—22no—
705(C2×D3)⋊C4—22no—
706(C2×D3)⋊C4—22no—
707(C2×D3)⋊C4—22no—
708(C2×D3)⋊C4—22no—
709(C2×D3)⋊C4—22no—
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
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)⋊C4C2×D414yes—
734(C2×D3)⋊C4C2×D414yes—
735(C2×D3)⋊C4C2×D414yes—
736(C2×D3)⋊C4#4114yes—
737C4⋊Dic3—22no—
738C4⋊Dic3—22no—
739C4⋊Dic3—22no—
740C4⋊Dic3—22no—
741C4⋊Dic3—41no—
742C4⋊Dic3—41no—
743C4⋊Dic3—41no—
744C4⋊Dic3—41no—
745C4⋊Dic3—41no—
746Dic3⋊C4—22no—
747Dic3⋊C4—22no—
748Dic3⋊C4—22no—
749Dic3⋊C4—22no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—41no—
758Dic3⋊C4—41no—
759Dic3⋊C4—41no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4C2×D414yes—
764C4×Dic3—22no—
765C4×Dic3—22no—
766C4×Dic3—22no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—41no—
774C25—31no—
775C22×Q8—31no—
776C22×Q8—31no—
777C22×D4—31no—
778C22×D4—31no—
779C22×D4—31no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C23×C4—31no—
785C23×C4—31no—
786C23×C4—31no—
787C23×C4—31no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4C22×D311yescharacteristic
796C4⋊Q8—122no—
797#126—64no—
798#126—64no—
799#126—64no—
800#126—64no—
801#125—24no—
802#124—64no—
803#124—64no—
804#123—38no—
805#123—64no—
806#123—64no—
807#123—64no—
808#123—64no—
809#123—122no—
810C22⋊Q8—64no—
811C22⋊Q8—64no—
812C22⋊Q8—64no—
813C22⋊Q8—122no—
814#121—64no—
815#121—122no—
816#120—64no—
817#120—64no—
818C4×Q8—64no—
819C4×D4—64no—
820C4×D4—64no—
821C4×D4—64no—
822C4×D4—64no—
823C4×D4—64no—
824C4×D4—64no—
825C4×D4—64no—
826#117—24no—
827#117—64no—
828#117—64no—
829#117—64no—
830#117—64no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—122no—
859C2×C4⋊C4C22×D311yescharacteristic
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
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—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—64no—
912C2×C22⋊C4—64no—
913C2×C22⋊C4—64no—
914C2×C22⋊C4—122no—
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—64no—
932C2×C42C22×D311yescharacteristic
933C2×C42C22×D311yescharacteristic
934C2×C42C22×D311yescharacteristic
935C2×C42C22×D311yescharacteristic
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95C22×D311yescharacteristic
959#95C22×D311yescharacteristic
960#95C22×D311yescharacteristic
961#95C22×D311yescharacteristic
962#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3C2×#4112yes—
977C23×C3C2511yescharacteristic
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—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—44no—
1003C22×D3—44no—
1004C22×D3—44no—
1005C22×D3—44no—
1006C22×D3—82no—
1007C22×D3—82no—
1008C22×D3—82no—
1009C22×D3C22×D412yes—
1010C22×D3C22×D412yes—
1011C22×D3C2×#4112yes—
1012C22×D32−1+412yes—
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—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—44no—
1051C2×C3×C4C22×D412yes—
1052C2×C3×C4C22×D412yes—
1053C2×C3×C4C22×D412yes—
1054C2×C3×C4C2×#4112yes—
1055C2×C3×C4H(5,𝔽2)12yes—
1056#67—44no—
1057#67—44no—
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—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—82no—
1090C2×Dic3C22×D412yes—
1091C2×Dic3C22×D412yes—
1092C2×Dic3C2×#4112yes—
1093C2×Dic3C2×#4112yes—
1094C2×Dic3C2×#4112yes—
1095D12—28no—
1096D12—44no—
1097D12—44no—
1098D12—82no—
1099D12—82no—
1100C4×D3—28no—
1101C4×D3—44no—
1102C4×D3—44no—
1103C4×D3—44no—
1104C4×D3—44no—
1105C4×D3—44no—
1106C4×D3—82no—
1107C4×D3—82no—
1108C4×D3—82no—
1109C4×D3—82no—
1110Dic6—44no—
1111Dic6—82no—
1112C24—31no—
1113C24—31no—
1114C24—31no—
1115C24—31no—
1116C24—62no—
1117C24—62no—
1118C24—62no—
1119C24—62no—
1120C24—121no—
1121C24—121no—
1122C24—121no—
1123C24C23×D311yescharacteristic
1124C2×Q8—62no—
1125C2×Q8—62no—
1126C2×Q8—62no—
1127C2×Q8—121no—
1128C2×Q8—121no—
1129C2×Q8—121no—
1130C2×D4—34no—
1131C2×D4—62no—
1132C2×D4—62no—
1133C2×D4—62no—
1134C2×D4—62no—
1135C2×D4—62no—
1136C2×D4—62no—
1137C2×D4—62no—
1138C2×D4—62no—
1139C2×D4—62no—
1140C2×D4—62no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—121no—
1145C2×D4—121no—
1146C2×D4—121no—
1147C2×D4—121no—
1148C2×D4—121no—
1149C2×D4—121no—
1150C2×D4—121no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—31no—
1154C22×C4—31no—
1155C22×C4—31no—
1156C22×C4—31no—
1157C22×C4—31no—
1158C22×C4—34no—
1159C22×C4—31no—
1160C22×C4—31no—
1161C22×C4—31no—
1162C22×C4—31no—
1163C22×C4—31no—
1164C22×C4—31no—
1165C22×C4—31no—
1166C22×C4—41no—
1167C22×C4—62no—
1168C22×C4—62no—
1169C22×C4—62no—
1170C22×C4—62no—
1171C22×C4—62no—
1172C22×C4—62no—
1173C22×C4—62no—
1174C22×C4—62no—
1175C22×C4—62no—
1176C22×C4—62no—
1177C22×C4—62no—
1178C22×C4—62no—
1179C22×C4—62no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—121no—
1185C22×C4—121no—
1186C22×C4—121no—
1187C22×C4—121no—
1188C22×C4—121no—
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×C4—121no—
1198C22×C4—121no—
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
1209C22×C4C23×D311yescharacteristic
1210C22×C4C23×D311yescharacteristic
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—34no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—62no—
1226C4⋊C4—62no—
1227C4⋊C4—62no—
1228C4⋊C4—62no—
1229C4⋊C4—62no—
1230C4⋊C4—62no—
1231C4⋊C4—62no—
1232C4⋊C4—62no—
1233C4⋊C4—62no—
1234C4⋊C4—62no—
1235C4⋊C4—62no—
1236C4⋊C4—62no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—121no—
1241C4⋊C4—121no—
1242C4⋊C4—121no—
1243C4⋊C4—121no—
1244C4⋊C4—121no—
1245C4⋊C4—121no—
1246C4⋊C4—121no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4D3×D414yes—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—34no—
1259C22⋊C4—34no—
1260C22⋊C4—34no—
1261C22⋊C4—34no—
1262C22⋊C4—34no—
1263C22⋊C4—62no—
1264C22⋊C4—62no—
1265C22⋊C4—62no—
1266C22⋊C4—62no—
1267C22⋊C4—62no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
1271C22⋊C4—62no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—121no—
1288C22⋊C4—121no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4—121no—
1295C22⋊C4—121no—
1296C22⋊C4—121no—
1297C22⋊C4—121no—
1298C42—22no—
1299C42—22no—
1300C42—22no—
1301C42—22no—
1302C42—62no—
1303C42—62no—
1304C42—62no—
1305C42—62no—
1306C42—62no—
1307C42—62no—
1308C42—62no—
1309C42—62no—
1310C42—62no—
1311C42—121no—
1312C22×C3—22no—
1313C22×C3—22no—
1314C22×C3—22no—
1315C22×C3—41no—
1316C22×C3—41no—
1317C22×C3—41no—
1318C22×C3—41no—
1319C22×C3C23×D411yescharacteristic
1320C22×C3C22×#4111yescharacteristic
1321C22×C3C22×#4111yescharacteristic
1322C22×C3C2×H(5,𝔽2)11yescharacteristic
1323C22×C3C2×2−1+411yescharacteristic
1324C22×C3#58511yescharacteristic
1325C22×C3#58511yescharacteristic
1326C2×D3—22no—
1327C2×D3—22no—
1328C2×D3—22no—
1329C2×D3—22no—
1330C2×D3—22no—
1331C2×D3—22no—
1332C2×D3—22no—
1333C2×D3—22no—
1334C2×D3—22no—
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—41no—
1351C2×D3—41no—
1352C2×D3—41no—
1353C2×D3—88no—
1354C2×D3#54714yes—
1355C3×C4—22no—
1356C3×C4—22no—
1357C3×C4—22no—
1358C3×C4—22no—
1359C3×C4—22no—
1360C3×C4—41no—
1361C3×C4—41no—
1362C3×C4—41no—
1363C3×C4—41no—
1364C3×C4—41no—
1365C3×C4—41no—
1366C3×C4—41no—
1367C3×C4—41no—
1368C3×C4—41no—
1369Dic3—22no—
1370Dic3—22no—
1371Dic3—22no—
1372Dic3—22no—
1373Dic3—22no—
1374Dic3—41no—
1375Dic3—41no—
1376Dic3—41no—
1377Dic3—41no—
1378Dic3—41no—
1379Dic3—41no—
1380Dic3—41no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—32no—
1388C23—32no—
1389C23—32no—
1390C23—32no—
1391C23—61no—
1392C23—61no—
1393C23—61no—
1394C23—61no—
1395C23—61no—
1396C23—61no—
1397C23—61no—
1398C23—61no—
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—124no—
1416C23—124no—
1417C23—124no—
1418C23—124no—
1419C23—242no—
1420C23—242no—
1421C23—242no—
1422C23D3×#4112yes—
1423C23C24×D311yescharacteristic
1424Q8—124no—
1425Q8—242no—
1426D4—68no—
1427D4—124no—
1428D4—124no—
1429D4—124no—
1430D4—124no—
1431D4—242no—
1432D4—242no—
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—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—32no—
1471C2×C4—32no—
1472C2×C4—32no—
1473C2×C4—32no—
1474C2×C4—32no—
1475C2×C4—44no—
1476C2×C4—68no—
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—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—124no—
1509C2×C4—124no—
1510C2×C4—124no—
1511C2×C4—124no—
1512C2×C4—124no—
1513C2×C4—242no—
1514C2×C4—242no—
1515C2×C4—242no—
1516C2×C4—242no—
1517C2×C4—242no—
1518C2×C4C2×D3×D412yes—
1519C2×C4C2×D3×D412yes—
1520C2×C4C2×D3×D412yes—
1521C2×C4D3×#4112yes—
1522C2×C4#100912yes—
1523C2×C3—42no—
1524C2×C3C2×#54711yescharacteristic
1525C2×C3D4×#4111yescharacteristic
1526C2×C3#347511yescharacteristic
1527C2×C3#348811yescharacteristic
1528C2×C3#351411yescharacteristic
1529C2×C3#352011yescharacteristic
1530C2×C3#356411yescharacteristic
1531D3—24no—
1532D3—42no—
1533D3—81no—
1534D3—81no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—34no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—62no—
1544C22—62no—
1545C22—62no—
1546C22—62no—
1547C22—62no—
1548C22—62no—
1549C22—62no—
1550C22—62no—
1551C22—62no—
1552C22—121no—
1553C22—121no—
1554C22—121no—
1555C22—121no—
1556C22—121no—
1557C22—121no—
1558C22—121no—
1559C22—121no—
1560C22—121no—
1561C22—121no—
1562C22—121no—
1563C22—121no—
1564C22—121no—
1565C22—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—121no—
1570C22—248no—
1571C22C22×D3×D411yescharacteristic
1572C22C2×D3×#4111yescharacteristic
1573C22C2×D3×#4111yescharacteristic
1574C22C2×#100911yescharacteristic
1575C22#596411yescharacteristic
1576C22D3×2−1+411yescharacteristic
1577C22#596811yescharacteristic
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—62no—
1593C4—62no—
1594C4—62no—
1595C4—62no—
1596C4—62no—
1597C4—121no—
1598C4—121no—
1599C4—121no—
1600C4—121no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C3#5910811yescharacteristic, complemented, Sylow
1605C2—42no—
1606C2—64no—
1607C2—122no—
1608C2—241no—
1609C2—241no—
1610C2#8603711yescharacteristic
1611C2#8616211yescharacteristic
1612C2#8652111yescharacteristic
1613C2D3×#54711yescharacteristic
1614C2#8671311yescharacteristic
1615C2#8682611yescharacteristic
1616C2#8683911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2475C2
prime radical#77416C2
hypercenter#2475D3
hypocenterC3#59108
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2475

Complements

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

NH ≅ G/Ntype
1. C2×#5691C2semidirect
2. C2×#5527C2semidirect
3. C3×#2475C2semidirect
4. #83035C2semidirect
5. #82241C2semidirect
6. #78372C2semidirect
7. #78344C2semidirect
8. #77948C2semidirect
9. #77745C2semidirect
10. #77669C2semidirect
11. #77594C2semidirect
13. #77287C2semidirect
14. #76203C2semidirect
15. #76130C2semidirect
16. #75842C2semidirect
17. #75838C2semidirect
18. D3×#388C2semidirect
19. #75511C2semidirect
20. #75339C2semidirect
21. #75319C2semidirect
22. #75307C2semidirect
23. #75018C2semidirect
24. #75010C2semidirect
25. #75004C2semidirect
26. #74611C2semidirect
27. #74596C2semidirect
28. #74519C2semidirect
29. #74413C2semidirect
30. #73788C2semidirect
31. #73755C2semidirect
33. C2×C3×#125C22semidirect
41. C2×#898C22semidirect
42. C2×#898C22semidirect
50. C2×#894C22semidirect
54. C2×#893C22semidirect
55. C2×#892C22semidirect
56. C2×#892C22semidirect
58. C2×#888C22semidirect
59. C2×#887C22semidirect
71. C2×#875C22semidirect
76. C3×#400C22semidirect
77. C3×#398C22semidirect
80. C3×#389C22semidirect
83. C3×#387C22semidirect
84. C3×#387C22semidirect
85. C3×#387C22semidirect
88. C3×C4×C4⋊C4C22semidirect
93. #4993C22semidirect
101. #4989C22semidirect
104. #4987C22semidirect
105. #4987C22semidirect
106. #4984C22semidirect
107. #4982C22semidirect
108. #4981C22semidirect
109. #4979C22semidirect
110. #4978C22semidirect
111. #4977C22semidirect
112. #4976C22semidirect
113. #4976C22semidirect
114. #4976C22semidirect
115. #4976C22semidirect
116. #4975C22semidirect
117. Dic3×C4⋊C4C22semidirect
134. #4940C22semidirect
135. #4940C22semidirect
137. C4×(C2×D3)⋊C4C22semidirect
138. C4×C4⋊Dic3C22semidirect
139. C4×Dic3⋊C4C22semidirect
140. C4×Dic3⋊C4C22semidirect
141. C4×Dic3⋊C4C22semidirect
143. #4677C22semidirect
145. #4676C22semidirect
146. #4675C22semidirect
147. #4674C22semidirect
149. #4673C22semidirect
153. #4672C22semidirect
156. #4670C22semidirect
159. #4669C22semidirect
160. #4669C22semidirect
165. #4668C22semidirect
166. #4668C22semidirect
167. #4668C22semidirect
168. #4668C22semidirect
179. D3×#95C22semidirect
180. #4661C22semidirect
181. #4658C22semidirect
182. #4657C22semidirect
183. #4656C22semidirect
184. #4654C22semidirect
185. #4652C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
200. #2475D3semidirect
357. #894D4semidirect
424. C2×#125C2×D3semidirect
461. #400C2×D3semidirect
470. #398C2×D3semidirect
505. #389C2×D3semidirect
529. #387C2×D3semidirect
530. #387C2×D3semidirect
531. #387C2×D3semidirect
567. C4×C4⋊C4C2×D3semidirect
1604. C3#59108semidirect

Maximal subgroups

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

subgroupindex
C2×#56912
C2×#55272
C3×#24752
#830352
#822412
#783722
#783442
#779482
#777452
#776692
#775942
#774162
#772872
#762032
#761302
#758422
#758382
D3×#3882
#755112
#753392
#753192
#753072
#750182
#750102
#750042
#746112
#745962
#745192
#744132
#737882
#737552
#591083