Finite Group Databasebeta

← #11233250

Subgroups — #11233250

Order 768.

2950 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5628C211yesmaximal, characteristic, complemented
2C2×#5632C211yesmaximal, characteristic, complemented
3C2×#5552C211yesmaximal, characteristic, complemented
4C2×#5507C211yesmaximal, characteristic, complemented
5C3×#2449C211yesmaximal, characteristic, complemented
6#82829C211yesmaximal, characteristic, complemented
7#82790C211yesmaximal, characteristic, complemented
8#82410C211yesmaximal, characteristic, complemented
9#82171C211yesmaximal, characteristic, complemented
10#78037C211yesmaximal, characteristic, complemented
11#78024C211yesmaximal, characteristic, complemented
12#77969C211yesmaximal, characteristic, complemented
13#77744C211yesmaximal, characteristic, complemented
14#77419C211yesmaximal, characteristic, complemented
15#77281C211yesmaximal, characteristic, complemented
16#77174C211yesmaximal, characteristic, complemented
17#77172C211yesmaximal, characteristic, complemented
18#76257C211yesmaximal, characteristic, complemented
19#76060C211yesmaximal, characteristic, complemented
20#75388C211yesmaximal, characteristic, complemented
21#74947C211yesmaximal, characteristic, complemented
22#74794C211yesmaximal, characteristic, complemented
23#74719C211yesmaximal, characteristic, complemented
24#74697C211yesmaximal, characteristic, complemented
25#74688C211yesmaximal, characteristic, complemented
26#74631C211yesmaximal, characteristic, complemented
27#74629C211yesmaximal, characteristic, complemented
28#74432C211yesmaximal, characteristic, complemented
29#74412C211yesmaximal, characteristic, complemented
30#74411C211yesmaximal, characteristic, complemented
31#74398C211yesmaximal, characteristic, complemented
32#45332—31nomaximal, Sylow
33C22×D3×Q8C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C23×Dic6C2211yescharacteristic
37C2×C3×C22⋊Q8C2211yescharacteristic
38C2×C3×C22⋊Q8C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic
40C22×C3×C4⋊C4C2211yescharacteristic
41C2×#946C2211yescharacteristic
42C2×#944C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×#930C2211yescharacteristic
47C2×#929C2211yescharacteristic
48C2×#929C2211yescharacteristic
49C2×C4×#67C2211yescharacteristic
50C2×C4×#67C2211yescharacteristic
51C2×#924C2211yescharacteristic
52C2×#924C2211yescharacteristic
53#5632—28no—
54#5628—28no—
55#5552—28no—
56C2×#897C2211yescharacteristic
57C2×#897C2211yescharacteristic
58C2×#896C2211yescharacteristic
59C2×#896C2211yescharacteristic
60C2×#896C2211yescharacteristic
61C2×#896C2211yescharacteristic
62C2×#896C2211yescharacteristic
63C2×#896C2211yescharacteristic
64#5507—28no—
65C2×#895C2211yescharacteristic
66C2×#894C2211yescharacteristic
67C2×#894C2211yescharacteristic
68C2×#894C2211yescharacteristic
69C2×#894C2211yescharacteristic
70C2×#893C2211yescharacteristic
71C2×#892C2211yescharacteristic
72C2×D3×C4⋊C4C2211yescharacteristic
73C2×#888C2211yescharacteristic
74C2×#888C2211yescharacteristic
75C2×#888C2211yescharacteristic
76C2×#888C2211yescharacteristic
77C2×#888C2211yescharacteristic
78C2×#887C2211yescharacteristic
79C2×#885C2211yescharacteristic
80C2×#885C2211yescharacteristic
81C2×#885C2211yescharacteristic
82C2×#883C2211yescharacteristic
83C2×#883C2211yescharacteristic
84C2×#67⋊C4C2211yescharacteristic
85C2×#67⋊C4C2211yescharacteristic
86C2×#67⋊C4C2211yescharacteristic
87C2×#67⋊C4C2211yescharacteristic
88C2×#878C2211yescharacteristic
89C2×#878C2211yescharacteristic
90C2×#878C2211yescharacteristic
91C2×#875C2211yescharacteristic
92C2×C4×Dic6C2211yescharacteristic
93C3×#399C2211yescharacteristic
94C3×#398C2211yescharacteristic
95C3×#396C2211yescharacteristic
96C3×#395C2211yescharacteristic
97C3×#389C2211yescharacteristic
98C3×#387C2211yescharacteristic
99C3×#386C2211yescharacteristic
100C3×#386C2211yescharacteristic
101C3×#385C2211yescharacteristic
102C3×#385C2211yescharacteristic
103C3×#385C2211yescharacteristic
104#5231C2211yescharacteristic
105#5223C2211yescharacteristic
106#5222C2211yescharacteristic
107#5212C2211yescharacteristic
108#5210C2211yescharacteristic
109#5210C2211yescharacteristic
110#5210C2211yescharacteristic
111C4×#217C2211yescharacteristic
112#4994C2211yescharacteristic
113#4994C2211yescharacteristic
114#4993C2211yescharacteristic
115#4991C2211yescharacteristic
116#4991C2211yescharacteristic
117#4990C2211yescharacteristic
118#4990C2211yescharacteristic
119#4989C2211yescharacteristic
120#4989C2211yescharacteristic
121#4989C2211yescharacteristic
122#4989C2211yescharacteristic
123#4984C2211yescharacteristic
124#4984C2211yescharacteristic
125#4982C2211yescharacteristic
126#4982C2211yescharacteristic
127#4982C2211yescharacteristic
128#4979C2211yescharacteristic
129#4979C2211yescharacteristic
130#4979C2211yescharacteristic
131#4978C2211yescharacteristic
132#4976C2211yescharacteristic
133#4975C2211yescharacteristic
134#4975C2211yescharacteristic
135Dic3×C4⋊C4C2211yescharacteristic
136#4972C2211yescharacteristic
137#4972C2211yescharacteristic
138#4961C2211yescharacteristic
139#4961C2211yescharacteristic
140#4961C2211yescharacteristic
141#4961C2211yescharacteristic
142#4961C2211yescharacteristic
143#4960C2211yescharacteristic
144#4960C2211yescharacteristic
145#4959C2211yescharacteristic
146#4957C2211yescharacteristic
147#4957C2211yescharacteristic
148#4957C2211yescharacteristic
149#4956C2211yescharacteristic
150#4956C2211yescharacteristic
151#4952C2211yescharacteristic
152#4951C2211yescharacteristic
153#4950C2211yescharacteristic
154#4949C2211yescharacteristic
155#4946C2211yescharacteristic
156#4944C2211yescharacteristic
157Dic3×C22⋊C4C2211yescharacteristic
158#4940C2211yescharacteristic
159#4928C2211yescharacteristic
160#4677C2211yescharacteristic
161#4676C2211yescharacteristic
162#4675C2211yescharacteristic
163#4674C2211yescharacteristic
164#4673C2211yescharacteristic
165#4672C2211yescharacteristic
166#4672C2211yescharacteristic
167#4670C2211yescharacteristic
168#4670C2211yescharacteristic
169#4670C2211yescharacteristic
170#4670C2211yescharacteristic
171#4669C2211yescharacteristic
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic
174#4667C2211yescharacteristic
175#4667C2211yescharacteristic
176#4666C2211yescharacteristic
177#4666C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4657C2211yescharacteristic
181#4657C2211yescharacteristic
182#4657C2211yescharacteristic
183#4656C2211yescharacteristic
184#4656C2211yescharacteristic
185#4649C2211yescharacteristic
186#4647C2211yescharacteristic
187#4647C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190#4646C2211yescharacteristic
191#4646C2211yescharacteristic
192C2×D4×Q8—31no—
193C2×#548—31no—
194C2×#547—31no—
195C2×#536—31no—
196#2681—31no—
197#2681—31no—
198#2680—31no—
199#2680—31no—
200#2674—31no—
201#2674—31no—
202#2672—31no—
203#2672—31no—
204#2546—31no—
205#2542—31no—
206#2464—31no—
207#2464—31no—
208#2455—31no—
209#2455—31no—
210#2449—31no—
211#2449D311yescharacteristic, complemented
212#2440—31no—
213#2440—31no—
214#2434—31no—
215#2432—31no—
216#2429—31no—
217#2427—31no—
218#2409—31no—
219#2407—31no—
220#2392—31no—
221#2367—31no—
222#2323—31no—
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C2×D3×Q8—24no—
238C2×D3×Q8—24no—
239C2×D3×Q8—42no—
240C2×#235—24no—
241C2×#235—24no—
242C2×#235—24no—
243C2×#235—24no—
244C2×#235—42no—
245C2×#235—42no—
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×Dic6—24no—
257C22×Dic6—24no—
258C22×Dic6—42no—
259C22×Dic6C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C22×Dic6C2311yescharacteristic
265C22×Dic6C2311yescharacteristic
266C3×C22⋊Q8—24no—
267C3×C22⋊Q8—24no—
268C3×C4×D4—24no—
269C2×C3×C4⋊C4—24no—
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C42C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299#946—24no—
300#944—24no—
301#939—24no—
302#939—24no—
303#930—24no—
304#930—24no—
305#929—24no—
306#929—24no—
307C4×#67—24no—
308C4×#67—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊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
345#924—24no—
346#924—24no—
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378#897—24no—
379#897—24no—
380#896—24no—
381#896—24no—
382#896—24no—
383#896—24no—
384#896—42no—
385#896D418yescomplemented
386#895—24no—
387#894—24no—
388#894—24no—
389#894—24no—
390#894—24no—
391#893—24no—
392#892—24no—
393D3×C4⋊C4—24no—
394#888—24no—
395#888—24no—
396#888—24no—
397#888—24no—
398#888—24no—
399#887—24no—
400#885—24no—
401#885—24no—
402#885D418yescomplemented
403#883—24no—
404#883—24no—
405#67⋊C4—24no—
406#67⋊C4—24no—
407#67⋊C4—24no—
408#67⋊C4—24no—
409#878—24no—
410#878—24no—
411#878—42no—
412#875—24no—
413C4×Dic6—24no—
414C3×#95C2311yescharacteristic
415C3×#95C2311yescharacteristic
416C3×#95C2311yescharacteristic
417C3×#95C2311yescharacteristic
418C3×#95C2311yescharacteristic
419C3×#95C2311yescharacteristic
420C3×#95C2311yescharacteristic
421C3×#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C3⋊#95C2311yescharacteristic
436C3⋊#95C2311yescharacteristic
437C3⋊#95C2311yescharacteristic
438C3⋊#95C2311yescharacteristic
439C3⋊#95C2311yescharacteristic
440C3⋊#95C2311yescharacteristic
441C3⋊#95C2311yescharacteristic
442C22×#41—31no—
443C22×#41—31no—
444C23×Q8—31no—
445C23×Q8—31no—
446D4×Q8—68no—
447#548—68no—
448#547—68no—
449#536—68no—
450C2×C4⋊Q8—31no—
451C2×C4⋊Q8—31no—
452C2×C4⋊Q8—31no—
453C2×C4⋊Q8—31no—
454C2×C4⋊Q8—31no—
455C2×C4⋊Q8—31no—
456C2×#124—31no—
457C2×#124—31no—
458C2×#124—31no—
459C2×#124—31no—
460C2×#123—31no—
461C2×#123—31no—
462C2×#123—31no—
463C2×#123—31no—
464C2×#123—31no—
465C2×#123—31no—
466C2×#123—31no—
467C2×#123—31no—
468C2×C22⋊Q8—31no—
469C2×C22⋊Q8—31no—
470C2×C22⋊Q8—31no—
471C2×C22⋊Q8—31no—
472C2×C22⋊Q8—31no—
473C2×C22⋊Q8—31no—
474C2×C22⋊Q8—31no—
475C2×C22⋊Q8—31no—
476C2×C22⋊Q8—31no—
477C2×C22⋊Q8—31no—
478C2×C22⋊Q8—31no—
479C2×C22⋊Q8—31no—
480C2×C22⋊Q8—31no—
481C2×C22⋊Q8—31no—
482C2×C22⋊Q8C2×D311yescharacteristic
483C2×C22⋊Q8C2×D311yescharacteristic
484C2×#121—31no—
485C2×#121—31no—
486C2×#121—31no—
487C2×#121—31no—
488C2×#121—31no—
489C2×C4×Q8—31no—
490C2×C4×Q8—31no—
491C2×C4×D4—31no—
492C2×C4×D4—31no—
493C2×C4×D4—31no—
494C2×C4×D4—31no—
495C2×C4×D4—31no—
496C2×C4×D4—31no—
497C2×C4×D4—31no—
498C2×C4×D4C2×D311yescharacteristic
499C2×#117—31no—
500C22×C4⋊C4—31no—
501C22×C4⋊C4C2×D311yescharacteristic
502#399—31no—
503#399—31no—
504#399—31no—
505#399C2×D311yescharacteristic
506#398—31no—
507#398—31no—
508#398—31no—
509#398—31no—
510#398—31no—
511#398—31no—
512#398C2×D311yescharacteristic
513#397—31no—
514#397—31no—
515#397—31no—
516#396—31no—
517#396—31no—
518#396—31no—
519#396C2×D311yescharacteristic
520#395—31no—
521#395—31no—
522#395—31no—
523#395—31no—
524#395—31no—
525#395C2×D311yescharacteristic
526#394—31no—
527#394—31no—
528#394—31no—
529#394—31no—
530#394—31no—
531#394—31no—
532#394—31no—
533#394—31no—
534#394—31no—
535#394—31no—
536#394—31no—
537#393—31no—
538#393—31no—
539#392—31no—
540#392—31no—
541#392—31no—
542#391—31no—
543#391—31no—
544#391—31no—
545#391—31no—
546#390—31no—
547#390—31no—
548#390—31no—
549#389—31no—
550#389—31no—
551#389—31no—
552#389—31no—
553#389—31no—
554#389—31no—
555#389—31no—
556#389—31no—
557#389C2×D311yescharacteristic
558#388—31no—
559#388—31no—
560#388—31no—
561#388—31no—
562#388—31no—
563#388—31no—
564#388—31no—
565#388—31no—
566#388—31no—
567#388—31no—
568#387—31no—
569#387C2×D311yescharacteristic
570#386—31no—
571#386—31no—
572#386—31no—
573#386—31no—
574#386C2×D311yescharacteristic
575#386C2×D311yescharacteristic
576#385—31no—
577#385—31no—
578#385—31no—
579#385—31no—
580#385—31no—
581#385—31no—
582#385—31no—
583#385—31no—
584#385—31no—
585#385—31no—
586#385—31no—
587#385C2×D311yescharacteristic
588#385C2×D311yescharacteristic
589#385C2×D311yescharacteristic
590#384—31no—
591#384—31no—
592#380—31no—
593#380—31no—
594#380—31no—
595C4×C4⋊C4—31no—
596C4×C4⋊C4—31no—
597C4×C22⋊C4—31no—
598C4×C22⋊C4—31no—
599C4×C22⋊C4—31no—
600C4×C22⋊C4—31no—
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C2×C3×Q8—22no—
607C2×C3×Q8—22no—
608C2×C3×Q8—41no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—41no—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67C2×D414yes—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—22no—
659C22×Dic3—22no—
660C22×Dic3—41no—
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674D3×Q8—416no—
675#235—416no—
676#235—416no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12—41no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3C2×D414yes—
707C2×Dic6—22no—
708C2×Dic6—22no—
709C2×Dic6—22no—
710C2×Dic6—22no—
711C2×Dic6—22no—
712C2×Dic6—22no—
713C2×Dic6—22no—
714C2×Dic6—22no—
715C2×Dic6—22no—
716C2×Dic6—22no—
717C2×Dic6—22no—
718C2×Dic6—22no—
719C2×Dic6—22no—
720C2×Dic6—22no—
721C2×Dic6—22no—
722C2×Dic6—22no—
723C2×Dic6—416no—
724C2×Dic6—41no—
725C2×Dic6—41no—
726C2×Dic6—41no—
727C2×Dic6C2×D414yes—
728C2×Dic6C2×D414yes—
729C3×C4⋊C4—22no—
730C3×C4⋊C4—22no—
731C3×C4⋊C4—22no—
732C3×C4⋊C4—22no—
733C3×C4⋊C4—22no—
734C3×C4⋊C4—22no—
735C3×C4⋊C4—22no—
736C3×C4⋊C4—22no—
737C3×C4⋊C4—22no—
738C3×C4⋊C4—22no—
739C3×C4⋊C4—41no—
740C3×C4⋊C4C2×D414yes—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4C2×D414yes—
749C3×C42—22no—
750#217—22no—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—41no—
757#217C2×D414yes—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4C2×D414yes—
781(C2×D3)⋊C4C2×D414yes—
782(C2×D3)⋊C4C2×D414yes—
783(C2×D3)⋊C4C2×D414yes—
784C4⋊Dic3—22no—
785C4⋊Dic3—22no—
786C4⋊Dic3—22no—
787C4⋊Dic3—22no—
788C4⋊Dic3—22no—
789C4⋊Dic3—22no—
790C4⋊Dic3—22no—
791C4⋊Dic3—22no—
792C4⋊Dic3—41no—
793C4⋊Dic3—41no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4C2×D414yes—
815Dic3⋊C4C2×D414yes—
816C4×Dic3—22no—
817C4×Dic3—22no—
818C4×Dic3—22no—
819C4×Dic3—22no—
820C4×Dic3—22no—
821C4×Dic3—22no—
822C4×Dic3—41no—
823C4×Dic3—41no—
824C4×Dic3C2×D414yes—
825C2×#41—64no—
826C2×#41—64no—
827C2×#41—64no—
828C2×#41—64no—
829C2×#41—122no—
830C2×#41—122no—
831C22×Q8—31no—
832C22×Q8—31no—
833C22×Q8—31no—
834C22×Q8—31no—
835C22×Q8—31no—
836C22×Q8—31no—
837C22×Q8—31no—
838C22×Q8—64no—
839C22×Q8—64no—
840C22×Q8—64no—
841C22×Q8—64no—
842C22×Q8—122no—
843C22×Q8—122no—
844C22×Q8C22×D311yescharacteristic
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4—31no—
854C22×D4C22×D311yescharacteristic
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4C22×D311yescharacteristic
865C23×C4C22×D311yescharacteristic
866C23×C4C22×D311yescharacteristic
867C23×C4C22×D311yescharacteristic
868C4⋊Q8—64no—
869C4⋊Q8—64no—
870C4⋊Q8—64no—
871C4⋊Q8—64no—
872C4⋊Q8—64no—
873C4⋊Q8—64no—
874#124—38no—
875#124—64no—
876#124—64no—
877#124—64no—
878#123—64no—
879#123—64no—
880#123—64no—
881#123—64no—
882#123—64no—
883#123—64no—
884#123—64no—
885#123—64no—
886C22⋊Q8—24no—
887C22⋊Q8—24no—
888C22⋊Q8—38no—
889C22⋊Q8—64no—
890C22⋊Q8—64no—
891C22⋊Q8—64no—
892C22⋊Q8—64no—
893C22⋊Q8—64no—
894C22⋊Q8—64no—
895C22⋊Q8—64no—
896C22⋊Q8—64no—
897C22⋊Q8—64no—
898C22⋊Q8—64no—
899C22⋊Q8—64no—
900C22⋊Q8—122no—
901C22⋊Q8—122no—
902#121—64no—
903#121—64no—
904#121—64no—
905#121—64no—
906#121—64no—
907C4×Q8—64no—
908C4×Q8—64no—
909C4×D4—24no—
910C4×D4—64no—
911C4×D4—64no—
912C4×D4—64no—
913C4×D4—64no—
914C4×D4—64no—
915C4×D4—64no—
916C4×D4—64no—
917#117—64no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—31no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—64no—
952C2×C4⋊C4C22×D311yescharacteristic
953C2×C4⋊C4C22×D311yescharacteristic
954C2×C4⋊C4C22×D311yescharacteristic
955C2×C4⋊C4C22×D311yescharacteristic
956C2×C4⋊C4C22×D311yescharacteristic
957C2×C4⋊C4C22×D311yescharacteristic
958C2×C4⋊C4C22×D311yescharacteristic
959C2×C4⋊C4C22×D311yescharacteristic
960C2×C4⋊C4C22×D311yescharacteristic
961C2×C4⋊C4C22×D311yescharacteristic
962C2×C4⋊C4C22×D311yescharacteristic
963C2×C4⋊C4C22×D311yescharacteristic
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4C22×D311yescharacteristic
999C2×C22⋊C4C22×D311yescharacteristic
1000C2×C22⋊C4C22×D311yescharacteristic
1001C2×C22⋊C4C22×D311yescharacteristic
1002C2×C22⋊C4C22×D311yescharacteristic
1003C2×C22⋊C4C22×D311yescharacteristic
1004C2×C22⋊C4C22×D311yescharacteristic
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C42—31no—
1007C2×C42—31no—
1008C2×C42—31no—
1009C2×C42—31no—
1010C2×C42—31no—
1011C2×C42—31no—
1012C2×C42—31no—
1013C2×C42—31no—
1014C2×C42—31no—
1015C2×C42C22×D311yescharacteristic
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95C22×D311yescharacteristic
1037#95C22×D311yescharacteristic
1038#95C22×D311yescharacteristic
1039#95C22×D311yescharacteristic
1040#95C22×D311yescharacteristic
1041#95C22×D311yescharacteristic
1042#95C22×D311yescharacteristic
1043#95C22×D311yescharacteristic
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3C22×D412yes—
1057C23×C32−1+412yes—
1058C23×C3C2511yescharacteristic
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3C22×D412yes—
1079C22×D3C22×D412yes—
1080C3×Q8—44no—
1081C3×D4—44no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—44no—
1116C2×C3×C4—44no—
1117C2×C3×C4—44no—
1118C2×C3×C4—44no—
1119C2×C3×C4C22×D412yes—
1120C2×C3×C4C22×D412yes—
1121C2×C3×C4C22×D412yes—
1122C2×C3×C4C22×D412yes—
1123C2×C3×C4C22×D412yes—
1124C2×C3×C42−1+412yes—
1125#67—28no—
1126#67—28no—
1127#67—44no—
1128#67—44no—
1129#67—44no—
1130#67—44no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—44no—
1163C2×Dic3—44no—
1164C2×Dic3C22×D412yes—
1165C2×Dic3C22×D412yes—
1166C2×Dic3C22×D412yes—
1167C2×Dic3C22×D412yes—
1168C2×Dic3C22×D412yes—
1169C2×Dic3C22×D412yes—
1170C2×Dic3H(5,𝔽2)12yes—
1171C2×Dic32−1+412yes—
1172D12—44no—
1173D12—44no—
1174D12—44no—
1175C4×D3—28no—
1176C4×D3—44no—
1177C4×D3—44no—
1178C4×D3—44no—
1179C4×D3—44no—
1180C4×D3—44no—
1181C4×D3—44no—
1182Dic6—28no—
1183Dic6—28no—
1184Dic6—44no—
1185Dic6—44no—
1186Dic6—44no—
1187Dic6—44no—
1188Dic6—44no—
1189C24—31no—
1190C24—31no—
1191C24—31no—
1192C24C23×D311yescharacteristic
1193C24C23×D311yescharacteristic
1194#41—1216no—
1195#41—1216no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—34no—
1199C2×Q8—34no—
1200C2×Q8—41no—
1201C2×Q8—62no—
1202C2×Q8—62no—
1203C2×Q8—62no—
1204C2×Q8—62no—
1205C2×Q8—62no—
1206C2×Q8—62no—
1207C2×Q8—62no—
1208C2×Q8—62no—
1209C2×Q8—62no—
1210C2×Q8—62no—
1211C2×Q8—62no—
1212C2×Q8—62no—
1213C2×Q8—62no—
1214C2×Q8—62no—
1215C2×Q8—62no—
1216C2×Q8—62no—
1217C2×Q8—121no—
1218C2×Q8—121no—
1219C2×Q8—121no—
1220C2×Q8—1216no—
1221C2×Q8—1216no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—34no—
1225C2×D4—41no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—31no—
1263C22×C4—31no—
1264C22×C4—31no—
1265C22×C4—31no—
1266C22×C4—34no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—31no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—31no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
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—62no—
1288C22×C4—62no—
1289C22×C4—62no—
1290C22×C4—62no—
1291C22×C4—62no—
1292C22×C4—62no—
1293C22×C4—62no—
1294C22×C4—62no—
1295C22×C4—62no—
1296C22×C4—62no—
1297C22×C4—62no—
1298C22×C4—121no—
1299C22×C4—121no—
1300C22×C4—121no—
1301C22×C4—121no—
1302C22×C4—121no—
1303C22×C4—121no—
1304C22×C4C23×D311yescharacteristic
1305C22×C4C23×D311yescharacteristic
1306C22×C4C23×D311yescharacteristic
1307C22×C4C23×D311yescharacteristic
1308C22×C4C23×D311yescharacteristic
1309C22×C4C23×D311yescharacteristic
1310C22×C4C23×D311yescharacteristic
1311C22×C4C23×D311yescharacteristic
1312C22×C4C23×D311yescharacteristic
1313C22×C4C23×D311yescharacteristic
1314C22×C4C23×D311yescharacteristic
1315C22×C4C23×D311yescharacteristic
1316C22×C4C23×D311yescharacteristic
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—34no—
1328C4⋊C4—34no—
1329C4⋊C4—41no—
1330C4⋊C4—62no—
1331C4⋊C4—62no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—62no—
1338C4⋊C4—62no—
1339C4⋊C4—62no—
1340C4⋊C4—62no—
1341C4⋊C4—62no—
1342C4⋊C4—62no—
1343C4⋊C4—62no—
1344C4⋊C4—62no—
1345C4⋊C4—62no—
1346C4⋊C4—62no—
1347C4⋊C4—62no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—121no—
1356C4⋊C4—121no—
1357C4⋊C4—121no—
1358C4⋊C4—121no—
1359C4⋊C4—121no—
1360C4⋊C4D3×D414yes—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—34no—
1367C22⋊C4—34no—
1368C22⋊C4—34no—
1369C22⋊C4—34no—
1370C22⋊C4—34no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4D3×D414yes—
1403C42—22no—
1404C42—34no—
1405C42—62no—
1406C42—62no—
1407C42—62no—
1408C42—62no—
1409C42—62no—
1410C42—62no—
1411C42—121no—
1412C42—121no—
1413C22×C3—22no—
1414C22×C3—22no—
1415C22×C3—22no—
1416C22×C3—22no—
1417C22×C3—22no—
1418C22×C3—22no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3C23×D411yescharacteristic
1428C22×C3C23×D411yescharacteristic
1429C22×C3C2×H(5,𝔽2)11yescharacteristic
1430C22×C3C2×2−1+411yescharacteristic
1431C22×C3C2×2−1+411yescharacteristic
1432C22×C3C2×2−1+411yescharacteristic
1433C22×C3#58511yescharacteristic
1434C2×D3—22no—
1435C2×D3—22no—
1436C2×D3—22no—
1437C2×D3—22no—
1438C2×D3—22no—
1439C2×D3—22no—
1440C2×D3—41no—
1441C2×D3—41no—
1442C2×D3—41no—
1443C2×D3—41no—
1444C2×D3—41no—
1445C2×D3—41no—
1446C2×D3—41no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C3×C4—22no—
1456C3×C4—22no—
1457C3×C4—22no—
1458C3×C4—22no—
1459C3×C4—22no—
1460C3×C4—22no—
1461C3×C4—41no—
1462C3×C4—41no—
1463C3×C4—41no—
1464C3×C4—41no—
1465C3×C4—41no—
1466C3×C4—41no—
1467C3×C4—41no—
1468Dic3—22no—
1469Dic3—22no—
1470Dic3—22no—
1471Dic3—22no—
1472Dic3—22no—
1473Dic3—41no—
1474Dic3—41no—
1475Dic3—41no—
1476Dic3—41no—
1477Dic3—41no—
1478Dic3—41no—
1479Dic3—41no—
1480Dic3D4214yes—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—32no—
1494C23—32no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
1501C23—61no—
1502C23—61no—
1503C23—61no—
1504C23—61no—
1505C23—61no—
1506C23—61no—
1507C23—61no—
1508C23—61no—
1509C23—61no—
1510C23—61no—
1511C23—61no—
1512C23—61no—
1513C23—61no—
1514C23C2×D3×D412yes—
1515C23#100712yes—
1516C23C24×D311yescharacteristic
1517Q8—44no—
1518Q8—68no—
1519Q8—68no—
1520Q8—124no—
1521Q8—124no—
1522Q8—124no—
1523Q8—124no—
1524Q8—124no—
1525D4—44no—
1526D4—68no—
1527D4—68no—
1528D4—124no—
1529D4—124no—
1530D4—124no—
1531D4—124no—
1532D4—124no—
1533D4—124no—
1534D4—124no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—32no—
1569C2×C4—32no—
1570C2×C4—32no—
1571C2×C4—32no—
1572C2×C4—32no—
1573C2×C4—32no—
1574C2×C4—32no—
1575C2×C4—32no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—68no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—124no—
1613C2×C4—124no—
1614C2×C4—124no—
1615C2×C4—124no—
1616C2×C4—124no—
1617C2×C4—124no—
1618C2×C4—124no—
1619C2×C4—124no—
1620C2×C4C2×D3×D412yes—
1621C2×C4C2×D3×D412yes—
1622C2×C4C2×D3×D412yes—
1623C2×C4C2×D3×D412yes—
1624C2×C4C2×D3×D412yes—
1625C2×C4#101012yes—
1626C2×C3—42no—
1627C2×C3—42no—
1628C2×C3C2×D4211yescharacteristic
1629C2×C3#348611yescharacteristic
1630C2×C3#348911yescharacteristic
1631C2×C3#348911yescharacteristic
1632C2×C3#349911yescharacteristic
1633C2×C3#355211yescharacteristic
1634C2×C3#355411yescharacteristic
1635D3—42no—
1636D3—42no—
1637D3—81no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—62no—
1653C22—62no—
1654C22—62no—
1655C22—62no—
1656C22—62no—
1657C22—62no—
1658C22—121no—
1659C22—121no—
1660C22—121no—
1661C22—121no—
1662C22—121no—
1663C22—121no—
1664C22—121no—
1665C22—121no—
1666C22—121no—
1667C22—121no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22C22×D3×D411yescharacteristic
1674C22C22×D3×D411yescharacteristic
1675C22C2×#100711yescharacteristic
1676C22C2×#101011yescharacteristic
1677C22#596411yescharacteristic
1678C22D3×H(5,𝔽2)11yescharacteristic
1679C22D3×2−1+411yescharacteristic
1680C4—22no—
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—22no—
1686C4—34no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—62no—
1695C4—62no—
1696C4—62no—
1697C4—62no—
1698C4—62no—
1699C4—121no—
1700C4—121no—
1701C4—121no—
1702C4—121no—
1703C4—121no—
1704C4—121no—
1705C4—121no—
1706C3#4533211yescharacteristic, complemented, Sylow
1707C2—42no—
1708C2—42no—
1709C2—122no—
1710C2—122no—
1711C2—241no—
1712C2#8598511yescharacteristic
1713C2#8604211yescharacteristic
1714C2#8644011yescharacteristic
1715C2D3×D4211yescharacteristic
1716C2#8667911yescharacteristic
1717C2#8675911yescharacteristic
1718C2#8694011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2449C2
hypercenter#2449D3
hypocenterC3#45332
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#5628C2semidirect
2. C2×#5632C2semidirect
3. C2×#5552C2semidirect
4. C2×#5507C2semidirect
5. C3×#2449C2semidirect
6. #82829C2semidirect
7. #82790C2semidirect
8. #82410C2semidirect
9. #82171C2semidirect
10. #78037C2semidirect
11. #78024C2semidirect
12. #77969C2semidirect
13. #77744C2semidirect
14. #77419C2semidirect
15. #77281C2semidirect
16. #77174C2semidirect
17. #77172C2semidirect
18. #76257C2semidirect
19. #76060C2semidirect
20. #75388C2semidirect
21. #74947C2semidirect
22. #74794C2semidirect
23. #74719C2semidirect
24. #74697C2semidirect
25. #74688C2semidirect
26. #74631C2semidirect
27. #74629C2semidirect
28. #74432C2semidirect
29. #74412C2semidirect
30. #74411C2semidirect
31. #74398C2semidirect
211. #2449D3semidirect
385. #896D4semidirect
402. #885D4semidirect
1706. C3#45332semidirect

Maximal subgroups

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

subgroupindex
C2×#56282
C2×#56322
C2×#55522
C2×#55072
C3×#24492
#828292
#827902
#824102
#821712
#780372
#780242
#779692
#777442
#774192
#772812
#771742
#771722
#762572
#760602
#753882
#749472
#747942
#747192
#746972
#746882
#746312
#746292
#744322
#744122
#744112
#743982
#453323