Finite Group Databasebeta

← #11024600

Subgroups — #11024600

Order 768.

3064 conjugacy classes of subgroups.

The subgroup lattice has 1826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5833C211yesmaximal, characteristic, complemented
2C2×#5824C211yesmaximal, characteristic, complemented
3C2×#5655C211yesmaximal, characteristic, complemented
4C2×#5596C211yesmaximal, characteristic, complemented
5C3×#2430C211yesmaximal, characteristic, complemented
6#82865C211yesmaximal, characteristic, complemented
7#82680C211yesmaximal, characteristic, complemented
8#82670C211yesmaximal, characteristic, complemented
9#82651C211yesmaximal, characteristic, complemented
10#77261C211yesmaximal, characteristic, complemented
11#77252C211yesmaximal, characteristic, complemented
12#77135C211yesmaximal, characteristic, complemented
13#77117C211yesmaximal, characteristic, complemented
14#76874C211yesmaximal, characteristic, complemented
15#76787C211yesmaximal, characteristic, complemented
16#76769C211yesmaximal, characteristic, complemented
17#76676C211yesmaximal, characteristic, complemented
18#74916C211yesmaximal, characteristic, complemented
19#74900C211yesmaximal, characteristic, complemented
20#74872C211yesmaximal, characteristic, complemented
21#74791C211yesmaximal, characteristic, complemented
22#74752C211yesmaximal, characteristic, complemented
23#74709C211yesmaximal, characteristic, complemented
24#74699C211yesmaximal, characteristic, complemented
25#74666C211yesmaximal, characteristic, complemented
26#74510C211yesmaximal, characteristic, complemented
27#74508C211yesmaximal, characteristic, complemented
28#74427C211yesmaximal, characteristic, complemented
29#74418C211yesmaximal, characteristic, complemented
30#73376C211yesmaximal, characteristic, complemented
31C2×#4655C211yesmaximal, characteristic, complemented
32#37679—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×#237C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic
39C2×C3×#121C2211yescharacteristic
40#5833—28no—
41#5824—28no—
42C2×#946C2211yescharacteristic
43C2×#946C2211yescharacteristic
44C2×#946C2211yescharacteristic
45C2×#944C2211yescharacteristic
46C2×#940C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic
49C2×#939C2211yescharacteristic
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#939C2211yescharacteristic
53C2×#939C2211yescharacteristic
54C2×#939C2211yescharacteristic
55C2×#938C2211yescharacteristic
56C2×#938C2211yescharacteristic
57C2×#935C2211yescharacteristic
58C2×#935C2211yescharacteristic
59C2×D4×Dic3C2211yescharacteristic
60C2×D4×Dic3C2211yescharacteristic
61C2×#930C2211yescharacteristic
62C2×#930C2211yescharacteristic
63C2×#930C2211yescharacteristic
64C2×#930C2211yescharacteristic
65C2×#929C2211yescharacteristic
66C2×#929C2211yescharacteristic
67C2×C4×#67C2211yescharacteristic
68C22×C4⋊Dic3C2211yescharacteristic
69C2×#924C2211yescharacteristic
70C2×#924C2211yescharacteristic
71C2×#924C2211yescharacteristic
72C22×Dic3⋊C4C2211yescharacteristic
73C22×Dic3⋊C4C2211yescharacteristic
74C22×C4×Dic3C2211yescharacteristic
75#5655—28no—
76#5596—28no—
77C2×#896C2211yescharacteristic
78C2×#894C2211yescharacteristic
79C2×#893C2211yescharacteristic
80C2×D3×C4⋊C4C2211yescharacteristic
81C2×#888C2211yescharacteristic
82C2×#888C2211yescharacteristic
83C2×#886C2211yescharacteristic
84C2×#885C2211yescharacteristic
85C2×#885C2211yescharacteristic
86C2×#884C2211yescharacteristic
87C2×#883C2211yescharacteristic
88C2×#67⋊C4C2211yescharacteristic
89C2×#67⋊C4C2211yescharacteristic
90C2×#67⋊C4C2211yescharacteristic
91C2×#67⋊C4C2211yescharacteristic
92C2×#878C2211yescharacteristic
93C3×#395C2211yescharacteristic
94C3×#394C2211yescharacteristic
95C3×#393C2211yescharacteristic
96C3×#392C2211yescharacteristic
97C3×#386C2211yescharacteristic
98C3×#386C2211yescharacteristic
99C3×#386C2211yescharacteristic
100C3×#386C2211yescharacteristic
101C3×#385C2211yescharacteristic
102C3×#385C2211yescharacteristic
103C2×C3×#95C2211yescharacteristic
104#5223C2211yescharacteristic
105#5223C2211yescharacteristic
106#5223C2211yescharacteristic
107#5223C2211yescharacteristic
108#5220C2211yescharacteristic
109#5220C2211yescharacteristic
110#5220C2211yescharacteristic
111#5213C2211yescharacteristic
112#5213C2211yescharacteristic
113C2×C3⋊#95C2211yescharacteristic
114C2×C3⋊#95C2211yescharacteristic
115C2×C3⋊#95C2211yescharacteristic
116#4994C2211yescharacteristic
117#4994C2211yescharacteristic
118#4993C2211yescharacteristic
119#4993C2211yescharacteristic
120#4990C2211yescharacteristic
121#4989C2211yescharacteristic
122#4982C2211yescharacteristic
123#4982C2211yescharacteristic
124#4982C2211yescharacteristic
125#4979C2211yescharacteristic
126#4961C2211yescharacteristic
127#4961C2211yescharacteristic
128#4961C2211yescharacteristic
129#4961C2211yescharacteristic
130#4960C2211yescharacteristic
131#4960C2211yescharacteristic
132#4960C2211yescharacteristic
133#4960C2211yescharacteristic
134#4959C2211yescharacteristic
135#4959C2211yescharacteristic
136#4958C2211yescharacteristic
137#4958C2211yescharacteristic
138#4958C2211yescharacteristic
139#4958C2211yescharacteristic
140#4957C2211yescharacteristic
141#4957C2211yescharacteristic
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic
145#4952C2211yescharacteristic
146#4951C2211yescharacteristic
147#4951C2211yescharacteristic
148#4951C2211yescharacteristic
149#4950C2211yescharacteristic
150#4949C2211yescharacteristic
151#4949C2211yescharacteristic
152#4948C2211yescharacteristic
153#4948C2211yescharacteristic
154#4947C2211yescharacteristic
155#4946C2211yescharacteristic
156#4946C2211yescharacteristic
157#4945C2211yescharacteristic
158#4945C2211yescharacteristic
159#4942C2211yescharacteristic
160#4675C2211yescharacteristic
161#4673C2211yescharacteristic
162#4673C2211yescharacteristic
163#4672C2211yescharacteristic
164#4671C2211yescharacteristic
165#4669C2211yescharacteristic
166#4669C2211yescharacteristic
167#4669C2211yescharacteristic
168#4669C2211yescharacteristic
169#4668C2211yescharacteristic
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4657C2211yescharacteristic
178#4656C2211yescharacteristic
179#4656C2211yescharacteristic
180#4655C2211yescharacteristic
181#4655C2211yescharacteristic
182#4655C2211yescharacteristic
183#4655C2211yescharacteristic
184#4655C2211yescharacteristic
185#4655C2211yescharacteristic
186#4655C2211yescharacteristic
187#4655C2211yescharacteristic
188#4655C2211yescharacteristic
189#4652C2211yescharacteristic
190#4647C2211yescharacteristic
191#4647C2211yescharacteristic
192C2×#547—31no—
193C2×#547—31no—
194C2×#537—31no—
195C2×#532—31no—
196#2854—31no—
197#2677—31no—
198#2677—31no—
199#2676—31no—
200#2676—31no—
201#2674—31no—
202#2674—31no—
203#2673—31no—
204#2673—31no—
205#2656—31no—
206#2618—31no—
207#2543—31no—
208#2543—31no—
209#2463—31no—
210#2463—31no—
211#2456—31no—
212#2456—31no—
213#2449—31no—
214#2449—31no—
215#2443—31no—
216#2443—31no—
217#2430—31no—
218#2430—31no—
219#2430—31no—
220#2430D311yescharacteristic, complemented
221#2325—31no—
222C2×#387—31no—
223C2×C3×#41—24no—
224C2×C3×#41—24no—
225C2×C3×#41—42no—
226C22×C3×Q8C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C2×#237—24no—
258C2×#237—24no—
259C2×#237—24no—
260C2×#237—24no—
261C2×#237—42no—
262C2×#237—42no—
263C2×#235—24no—
264C2×#235—24no—
265C2×#235—42no—
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×Dic6C2311yescharacteristic
275C22×Dic6C2311yescharacteristic
276C22×Dic6C2311yescharacteristic
277C3×#123—24no—
278C3×#121—24no—
279C3×#121—42no—
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308#946—24no—
309#946—24no—
310#946—24no—
311#944—24no—
312#940—24no—
313#939—24no—
314#939—24no—
315#939—24no—
316#939—24no—
317#939—24no—
318#939—24no—
319#939—24no—
320#939D418yescomplemented
321#938—24no—
322#938—24no—
323#935—24no—
324#935—24no—
325D4×Dic3—24no—
326D4×Dic3—24no—
327#930—24no—
328#930—24no—
329#930—24no—
330#930—42no—
331#929—24no—
332#929—24no—
333C4×#67—24no—
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×C4⋊Dic3—24no—
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366#924—24no—
367#924—24no—
368#924—24no—
369C2×Dic3⋊C4—24no—
370C2×Dic3⋊C4D418yescomplemented
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×Dic3⋊C4C2311yescharacteristic
389C2×C4×Dic3—24no—
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392C2×C4×Dic3C2311yescharacteristic
393C2×C4×Dic3C2311yescharacteristic
394C2×C4×Dic3C2311yescharacteristic
395C2×C4×Dic3C2311yescharacteristic
396#896—24no—
397#894—24no—
398#893—24no—
399D3×C4⋊C4—24no—
400#888—24no—
401#888—24no—
402#886—24no—
403#885—24no—
404#885—24no—
405#884—24no—
406#883—24no—
407#67⋊C4—24no—
408#67⋊C4—24no—
409#67⋊C4—24no—
410#67⋊C4—24no—
411#878—24no—
412C3×#95C2311yescharacteristic
413C3×#95C2311yescharacteristic
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—
444C22×#41—31no—
445C22×#41C2×D311yescharacteristic
446#547—68no—
447#547—68no—
448#537—68no—
449#532—68no—
450C2×C4⋊Q8—31no—
451C2×C4⋊Q8—31no—
452C2×C4⋊Q8—31no—
453C2×#127—31no—
454C2×#124—31no—
455C2×#124—31no—
456C2×#123—31no—
457C2×#123—31no—
458C2×#123—31no—
459C2×#123—31no—
460C2×#123—31no—
461C2×#123—31no—
462C2×#123—31no—
463C2×#123C2×D311yescharacteristic
464C2×C22⋊Q8—31no—
465C2×C22⋊Q8—31no—
466C2×C22⋊Q8—31no—
467C2×C22⋊Q8—31no—
468C2×C22⋊Q8—31no—
469C2×C22⋊Q8—31no—
470C2×C22⋊Q8—31no—
471C2×C22⋊Q8—31no—
472C2×#121—31no—
473C2×#121—31no—
474C2×#121—31no—
475C2×#121—31no—
476C2×#121—31no—
477C2×#121—31no—
478C2×#121—31no—
479C2×#121—31no—
480C2×#121—31no—
481C2×#121—31no—
482C2×#121—31no—
483C2×#121—31no—
484C2×#121—31no—
485C2×#121—31no—
486C2×#121—31no—
487C2×#121C2×D311yescharacteristic
488C2×#121C2×D311yescharacteristic
489C2×C4×D4—31no—
490C2×C4×D4—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—
497C22×C4⋊C4—31no—
498C22×C4⋊C4—31no—
499C22×C4⋊C4—31no—
500C22×C4⋊C4—31no—
501C22×C42—31no—
502#399—31no—
503#399—31no—
504#399—31no—
505#399—31no—
506#398—31no—
507#398—31no—
508#398—31no—
509#398—31no—
510#397—31no—
511#397—31no—
512#396—31no—
513#396—31no—
514#396—31no—
515#396—31no—
516#395—31no—
517#395—31no—
518#395—31no—
519#395C2×D311yescharacteristic
520#394—31no—
521#394—31no—
522#394—31no—
523#394—31no—
524#394—31no—
525#394—31no—
526#394—31no—
527#394C2×D311yescharacteristic
528#393—31no—
529#393—31no—
530#393—31no—
531#393C2×D311yescharacteristic
532#392—31no—
533#392—31no—
534#392—31no—
535#392—31no—
536#392—31no—
537#392—31no—
538#392—31no—
539#392—31no—
540#392—31no—
541#392C2×D311yescharacteristic
542#390—31no—
543#390—31no—
544#389—31no—
545#389—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388—31no—
551#388—31no—
552#388—31no—
553#388—31no—
554#388—31no—
555#388—31no—
556#387—31no—
557#387—31no—
558#387—31no—
559#387—31no—
560#387—31no—
561#387—31no—
562#387—31no—
563#387—31no—
564#387—31no—
565#387—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#386—31no—
574#386—31no—
575#386—31no—
576#386—31no—
577#386—31no—
578#386—31no—
579#386—31no—
580#386—31no—
581#386—31no—
582#386C2×D311yescharacteristic
583#386C2×D311yescharacteristic
584#386C2×D311yescharacteristic
585#386C2×D311yescharacteristic
586#385—31no—
587#385—31no—
588#385—31no—
589#385—31no—
590#385—31no—
591#385—31no—
592#385—31no—
593#385—31no—
594#385C2×D311yescharacteristic
595#385C2×D311yescharacteristic
596#380—31no—
597C2×#95—31no—
598C2×#95—31no—
599C2×#95—31no—
600C2×#95C2×D311yescharacteristic
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C3×#41—416no—
609C2×C3×Q8—22no—
610C2×C3×Q8—22no—
611C2×C3×Q8—41no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4C2×D414yes—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—22no—
635C22×C3×C4—22no—
636C22×C3×C4—22no—
637C22×C3×C4—22no—
638C22×C3×C4—22no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4—41no—
642C22×C3×C4—41no—
643C22×C3×C4—41no—
644C22×C3×C4C2×D414yes—
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67C2×D414yes—
691C2×#67C2×D414yes—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—22no—
695C22×Dic3—22no—
696C22×Dic3—22no—
697C22×Dic3—22no—
698C22×Dic3—22no—
699C22×Dic3—22no—
700C22×Dic3—41no—
701C22×Dic3—41no—
702C22×Dic3—41no—
703C22×Dic3—41no—
704C22×Dic3—41no—
705C22×Dic3—41no—
706C22×Dic3—41no—
707C22×Dic3—41no—
708C22×Dic3—41no—
709C22×Dic3—41no—
710C22×Dic3C2×D414yes—
711C22×Dic3C2×D414yes—
712C22×Dic3C2×D414yes—
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726#237—416no—
727#237—416no—
728#235—416no—
729C2×D12—22no—
730C2×D12—22no—
731C2×D12—22no—
732C2×D12—22no—
733C2×D12—41no—
734C2×D12—41no—
735C2×D12—41no—
736C2×D12—41no—
737C2×D12—41no—
738C2×C4×D3—22no—
739C2×C4×D3—22no—
740C2×C4×D3—22no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
743C2×C4×D3—22no—
744C2×C4×D3—22no—
745C2×C4×D3—22no—
746C2×C4×D3—22no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×Dic6—22no—
754C2×Dic6—22no—
755C2×Dic6—22no—
756C2×Dic6—22no—
757C2×Dic6—22no—
758C2×Dic6—22no—
759C2×Dic6—41no—
760C2×Dic6—41no—
761C2×Dic6—41no—
762C3×C4⋊C4—22no—
763C3×C4⋊C4—22no—
764C3×C4⋊C4—22no—
765C3×C4⋊C4—41no—
766C3×C22⋊C4—22no—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—22no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—41no—
773C3×C22⋊C4—41no—
774C3×C22⋊C4—41no—
775C3×C22⋊C4—41no—
776C3×C22⋊C4—41no—
777#217—22no—
778#217—22no—
779#217—22no—
780#217—22no—
781#217—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—22no—
786#217—22no—
787#217—41no—
788#217—41no—
789#217C2×D414yes—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—41no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4—41no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4C2×D414yes—
812C4⋊Dic3—22no—
813C4⋊Dic3—22no—
814C4⋊Dic3—22no—
815C4⋊Dic3—22no—
816C4⋊Dic3—22no—
817C4⋊Dic3—22no—
818C4⋊Dic3—22no—
819C4⋊Dic3—22no—
820C4⋊Dic3—41no—
821Dic3⋊C4—22no—
822Dic3⋊C4—22no—
823Dic3⋊C4—22no—
824Dic3⋊C4—22no—
825Dic3⋊C4—22no—
826Dic3⋊C4—22no—
827Dic3⋊C4—22no—
828Dic3⋊C4—22no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—41no—
833Dic3⋊C4—41no—
834Dic3⋊C4C2×D414yes—
835Dic3⋊C4C2×D414yes—
836Dic3⋊C4C2×D414yes—
837Dic3⋊C4C2×D414yes—
838Dic3⋊C4C2×D414yes—
839C4×Dic3—22no—
840C4×Dic3—22no—
841C4×Dic3—22no—
842C4×Dic3—22no—
843C4×Dic3—22no—
844C4×Dic3—22no—
845C2×#41—24no—
846C2×#41—24no—
847C2×#41—42no—
848C2×#41—64no—
849C2×#41—64no—
850C2×#41—64no—
851C2×#41—64no—
852C2×#41—64no—
853C2×#41—64no—
854C2×#41—122no—
855C2×#41—122no—
856C2×#41—122no—
857C22×Q8—31no—
858C22×Q8—31no—
859C22×Q8—31no—
860C22×Q8C22×D311yescharacteristic
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4C22×D311yescharacteristic
877C22×D4C22×D311yescharacteristic
878C22×D4C22×D311yescharacteristic
879C22×D4C22×D311yescharacteristic
880C22×D4C22×D311yescharacteristic
881C22×D4C22×D311yescharacteristic
882C23×C4—31no—
883C23×C4—31no—
884C23×C4—31no—
885C23×C4—31no—
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4—31no—
893C23×C4—31no—
894C23×C4C22×D311yescharacteristic
895C23×C4C22×D311yescharacteristic
896C23×C4C22×D311yescharacteristic
897C23×C4C22×D311yescharacteristic
898C23×C4C22×D311yescharacteristic
899C4⋊Q8—64no—
900C4⋊Q8—64no—
901C4⋊Q8—64no—
902#127—64no—
903#124—64no—
904#124—64no—
905#123—24no—
906#123—64no—
907#123—64no—
908#123—64no—
909#123—64no—
910#123—64no—
911#123—64no—
912#123—64no—
913C22⋊Q8—64no—
914C22⋊Q8—64no—
915C22⋊Q8—64no—
916C22⋊Q8—64no—
917C22⋊Q8—64no—
918C22⋊Q8—64no—
919C22⋊Q8—64no—
920C22⋊Q8—64no—
921#121—24no—
922#121—38no—
923#121—42no—
924#121—64no—
925#121—64no—
926#121—64no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—64no—
933#121—64no—
934#121—64no—
935#121—64no—
936#121—64no—
937#121—122no—
938C4×D4—64no—
939C4×D4—64no—
940C4×D4—64no—
941C4×D4—64no—
942C4×D4—64no—
943C4×D4—64no—
944C4×D4—64no—
945C4×D4—64no—
946C2×C4⋊C4—38no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—31no—
964C2×C4⋊C4—31no—
965C2×C4⋊C4—31no—
966C2×C4⋊C4—31no—
967C2×C4⋊C4—31no—
968C2×C4⋊C4—31no—
969C2×C4⋊C4—31no—
970C2×C4⋊C4—31no—
971C2×C4⋊C4—31no—
972C2×C4⋊C4—31no—
973C2×C4⋊C4—31no—
974C2×C4⋊C4—64no—
975C2×C4⋊C4—64no—
976C2×C4⋊C4—64no—
977C2×C4⋊C4C22×D311yescharacteristic
978C2×C4⋊C4C22×D311yescharacteristic
979C2×C4⋊C4C22×D311yescharacteristic
980C2×C4⋊C4C22×D311yescharacteristic
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⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C42—31no—
1028C2×C42—31no—
1029C2×C42—31no—
1030C2×C42—31no—
1031C2×C42—31no—
1032C2×C42—31no—
1033C2×C42—64no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95C22×D311yescharacteristic
1057#95C22×D311yescharacteristic
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3C22×D412yes—
1089C23×C3C22×D412yes—
1090C23×C3C22×D412yes—
1091C23×C3H(5,𝔽2)12yes—
1092C23×C3C2511yescharacteristic
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3C22×D412yes—
1114C3×Q8—44no—
1115C3×D4—28no—
1116C3×D4—44no—
1117C3×D4—44no—
1118C3×D4—44no—
1119C3×D4—44no—
1120C3×D4—82no—
1121C2×C3×C4—28no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—44no—
1152C2×C3×C4—44no—
1153C2×C3×C4—44no—
1154C2×C3×C4—82no—
1155C2×C3×C4C22×D412yes—
1156C2×C3×C4C22×D412yes—
1157C2×C3×C4C22×D412yes—
1158C2×C3×C42−1+412yes—
1159#67—28no—
1160#67—44no—
1161#67—44no—
1162#67—44no—
1163#67—44no—
1164#67—44no—
1165#67—44no—
1166#67—44no—
1167#67—44no—
1168#67—82no—
1169#67—82no—
1170#67—82no—
1171C2×Dic3—28no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—44no—
1205C2×Dic3—44no—
1206C2×Dic3—44no—
1207C2×Dic3—44no—
1208C2×Dic3—44no—
1209C2×Dic3—82no—
1210C2×Dic3C22×D412yes—
1211C2×Dic3C22×D412yes—
1212C2×Dic3C22×D412yes—
1213C2×Dic3C22×D412yes—
1214C2×Dic3C22×D412yes—
1215C2×Dic3C22×D412yes—
1216C2×Dic3C22×D412yes—
1217D12—44no—
1218D12—44no—
1219D12—82no—
1220C4×D3—44no—
1221C4×D3—44no—
1222C4×D3—44no—
1223C4×D3—44no—
1224C4×D3—44no—
1225Dic6—44no—
1226Dic6—44no—
1227Dic6—44no—
1228C24—31no—
1229C24—31no—
1230C24—31no—
1231C24C23×D311yescharacteristic
1232C24C23×D311yescharacteristic
1233C24C23×D311yescharacteristic
1234C24C23×D311yescharacteristic
1235#41—416no—
1236#41—1216no—
1237#41—1216no—
1238#41—1216no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—41no—
1242C2×Q8—62no—
1243C2×Q8—62no—
1244C2×Q8—62no—
1245C2×Q8—62no—
1246C2×Q8—62no—
1247C2×Q8—62no—
1248C2×Q8—121no—
1249C2×Q8—121no—
1250C2×Q8—121no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—34no—
1264C2×D4—34no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—62no—
1280C2×D4—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C2×D4—121no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4—121no—
1313C2×D4D3×D414yes—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—34no—
1324C22×C4—31no—
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—34no—
1332C22×C4—34no—
1333C22×C4—31no—
1334C22×C4—31no—
1335C22×C4—31no—
1336C22×C4—31no—
1337C22×C4—31no—
1338C22×C4—31no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—62no—
1345C22×C4—62no—
1346C22×C4—62no—
1347C22×C4—62no—
1348C22×C4—62no—
1349C22×C4—62no—
1350C22×C4—62no—
1351C22×C4—62no—
1352C22×C4—62no—
1353C22×C4—62no—
1354C22×C4—62no—
1355C22×C4—62no—
1356C22×C4—62no—
1357C22×C4—62no—
1358C22×C4—62no—
1359C22×C4—62no—
1360C22×C4—62no—
1361C22×C4—121no—
1362C22×C4—121no—
1363C22×C4—121no—
1364C22×C4—121no—
1365C22×C4—121no—
1366C22×C4—121no—
1367C22×C4—121no—
1368C22×C4—121no—
1369C22×C4—121no—
1370C22×C4—121no—
1371C22×C4—121no—
1372C22×C4—121no—
1373C22×C4—121no—
1374C22×C4—121no—
1375C22×C4—121no—
1376C22×C4—121no—
1377C22×C4D3×D414yes—
1378C22×C4C23×D311yescharacteristic
1379C22×C4C23×D311yescharacteristic
1380C22×C4C23×D311yescharacteristic
1381C22×C4C23×D311yescharacteristic
1382C22×C4C23×D311yescharacteristic
1383C22×C4C23×D311yescharacteristic
1384C22×C4C23×D311yescharacteristic
1385C22×C4C23×D311yescharacteristic
1386C22×C4C23×D311yescharacteristic
1387C22×C4C23×D311yescharacteristic
1388C22×C4C23×D311yescharacteristic
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—34no—
1393C4⋊C4—34no—
1394C4⋊C4—34no—
1395C4⋊C4—34no—
1396C4⋊C4—34no—
1397C4⋊C4—41no—
1398C4⋊C4—62no—
1399C4⋊C4—62no—
1400C4⋊C4—62no—
1401C4⋊C4—62no—
1402C4⋊C4—62no—
1403C4⋊C4—62no—
1404C4⋊C4—62no—
1405C4⋊C4—62no—
1406C4⋊C4—62no—
1407C4⋊C4—62no—
1408C4⋊C4—62no—
1409C4⋊C4—62no—
1410C4⋊C4—62no—
1411C4⋊C4—62no—
1412C4⋊C4—62no—
1413C4⋊C4—62no—
1414C4⋊C4—62no—
1415C4⋊C4—62no—
1416C4⋊C4—62no—
1417C4⋊C4—121no—
1418C4⋊C4—121no—
1419C4⋊C4—121no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—34no—
1427C22⋊C4—34no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—62no—
1434C22⋊C4—62no—
1435C22⋊C4—62no—
1436C22⋊C4—62no—
1437C22⋊C4—62no—
1438C22⋊C4—62no—
1439C22⋊C4—62no—
1440C22⋊C4—62no—
1441C22⋊C4—62no—
1442C22⋊C4—62no—
1443C22⋊C4—62no—
1444C22⋊C4—62no—
1445C22⋊C4—62no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—121no—
1458C22⋊C4—121no—
1459C22⋊C4—121no—
1460C22⋊C4—121no—
1461C22⋊C4—121no—
1462C22⋊C4—121no—
1463C22⋊C4—121no—
1464C22⋊C4—121no—
1465C22⋊C4—121no—
1466C42—62no—
1467C42—62no—
1468C42—62no—
1469C42—62no—
1470C42—62no—
1471C42—62no—
1472C22×C3—22no—
1473C22×C3—22no—
1474C22×C3—22no—
1475C22×C3—22no—
1476C22×C3—22no—
1477C22×C3—22no—
1478C22×C3—22no—
1479C22×C3—22no—
1480C22×C3—22no—
1481C22×C3—41no—
1482C22×C3—41no—
1483C22×C3—41no—
1484C22×C3—41no—
1485C22×C3—41no—
1486C22×C3—41no—
1487C22×C3—41no—
1488C22×C3—41no—
1489C22×C3—41no—
1490C22×C3—41no—
1491C22×C3—41no—
1492C22×C3—41no—
1493C22×C3—41no—
1494C22×C3—41no—
1495C22×C3—41no—
1496C22×C3—41no—
1497C22×C3—41no—
1498C22×C3—41no—
1499C22×C3D4214yes—
1500C22×C3C23×D411yescharacteristic
1501C22×C3C23×D411yescharacteristic
1502C22×C3C2×H(5,𝔽2)11yescharacteristic
1503C22×C3C2×2−1+411yescharacteristic
1504C22×C3#58511yescharacteristic
1505C22×C3#58511yescharacteristic
1506C22×C3#58511yescharacteristic
1507C2×D3—22no—
1508C2×D3—22no—
1509C2×D3—22no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—41no—
1522C2×D3—41no—
1523C2×D3—41no—
1524C2×D3—41no—
1525C2×D3—41no—
1526C2×D3—41no—
1527C2×D3—41no—
1528C3×C4—22no—
1529C3×C4—22no—
1530C3×C4—22no—
1531C3×C4—22no—
1532C3×C4—41no—
1533C3×C4—41no—
1534C3×C4—41no—
1535C3×C4—41no—
1536C3×C4—41no—
1537C3×C4—41no—
1538C3×C4—41no—
1539Dic3—22no—
1540Dic3—22no—
1541Dic3—22no—
1542Dic3—22no—
1543Dic3—22no—
1544Dic3—22no—
1545Dic3—22no—
1546Dic3—41no—
1547Dic3—41no—
1548Dic3—41no—
1549Dic3—41no—
1550Dic3—41no—
1551Dic3—41no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—32no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23C2×D3×D412yes—
1598C23C2×D3×D412yes—
1599C23C2×D3×D412yes—
1600C23#100412yes—
1601C23C24×D311yescharacteristic
1602Q8—44no—
1603Q8—124no—
1604Q8—124no—
1605Q8—124no—
1606D4—28no—
1607D4—44no—
1608D4—44no—
1609D4—44no—
1610D4—44no—
1611D4—68no—
1612D4—82no—
1613D4—124no—
1614D4—124no—
1615D4—124no—
1616D4—124no—
1617D4—124no—
1618D4—124no—
1619D4—124no—
1620D4—124no—
1621D4—124no—
1622D4—124no—
1623D4—242no—
1624D4—242no—
1625D4—242no—
1626D4—242no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—32no—
1658C2×C4—32no—
1659C2×C4—32no—
1660C2×C4—32no—
1661C2×C4—32no—
1662C2×C4—32no—
1663C2×C4—32no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—68no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—82no—
1701C2×C4—124no—
1702C2×C4—124no—
1703C2×C4—124no—
1704C2×C4—124no—
1705C2×C4—124no—
1706C2×C4—124no—
1707C2×C4—124no—
1708C2×C4—124no—
1709C2×C4—124no—
1710C2×C4—124no—
1711C2×C4—242no—
1712C2×C4C2×D3×D412yes—
1713C2×C4C2×D3×D412yes—
1714C2×C4C2×D3×D412yes—
1715C2×C4#101012yes—
1716C2×C3—24no—
1717C2×C3—42no—
1718C2×C3—81no—
1719C2×C3—81no—
1720C2×C3#344911yescharacteristic
1721C2×C3C2×D4211yescharacteristic
1722C2×C3#348511yescharacteristic
1723C2×C3#348911yescharacteristic
1724C2×C3#349711yescharacteristic
1725C2×C3#355911yescharacteristic
1726C2×C3#356011yescharacteristic
1727D3—42no—
1728D3—81no—
1729D3—81no—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—62no—
1758C22—62no—
1759C22—62no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22#559014yes—
1779C22C22×D3×D411yescharacteristic
1780C22C22×D3×D411yescharacteristic
1781C22C2×#100411yescharacteristic
1782C22C2×#101011yescharacteristic
1783C22#596411yescharacteristic
1784C22#596611yescharacteristic
1785C22#596811yescharacteristic
1786C4—22no—
1787C4—22no—
1788C4—22no—
1789C4—22no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—62no—
1798C4—62no—
1799C4—62no—
1800C4—62no—
1801C4—62no—
1802C4—62no—
1803C4—62no—
1804C4—121no—
1805C4—121no—
1806C4—121no—
1807C4—121no—
1808C4—121no—
1809C4—121no—
1810C3#3767911yescharacteristic, complemented, Sylow
1811C2—24no—
1812C2—42no—
1813C2—81no—
1814C2—81no—
1815C2—122no—
1816C2—241no—
1817C2—241no—
1818C2C2×#559011yescharacteristic
1819C2#8622211yescharacteristic
1820C2#8636311yescharacteristic
1821C2#8663011yescharacteristic
1822C2#8665711yescharacteristic
1823C2#8669611yescharacteristic
1824C2#8670011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2430C2
hypercenter#2430D3
hypocenterC3#37679
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2430

Complements

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

NH ≅ G/Ntype
1. C2×#5833C2semidirect
2. C2×#5824C2semidirect
3. C2×#5655C2semidirect
4. C2×#5596C2semidirect
5. C3×#2430C2semidirect
6. #82865C2semidirect
7. #82680C2semidirect
8. #82670C2semidirect
9. #82651C2semidirect
10. #77261C2semidirect
11. #77252C2semidirect
12. #77135C2semidirect
13. #77117C2semidirect
14. #76874C2semidirect
15. #76787C2semidirect
16. #76769C2semidirect
17. #76676C2semidirect
18. #74916C2semidirect
19. #74900C2semidirect
20. #74872C2semidirect
21. #74791C2semidirect
22. #74752C2semidirect
23. #74709C2semidirect
24. #74699C2semidirect
25. #74666C2semidirect
26. #74510C2semidirect
27. #74508C2semidirect
28. #74427C2semidirect
29. #74418C2semidirect
30. #73376C2semidirect
31. C2×#4655C2semidirect
220. #2430D3semidirect
320. #939D4semidirect
370. C2×Dic3⋊C4D4semidirect
1810. C3#37679semidirect

Maximal subgroups

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

subgroupindex
C2×#58332
C2×#58242
C2×#56552
C2×#55962
C3×#24302
#828652
#826802
#826702
#826512
#772612
#772522
#771352
#771172
#768742
#767872
#767692
#766762
#749162
#749002
#748722
#747912
#747522
#747092
#746992
#746662
#745102
#745082
#744272
#744182
#733762
C2×#46552
#376793