Finite Group Databasebeta

← #11069217

Subgroups — #11069217

Order 768.

2958 conjugacy classes of subgroups.

The subgroup lattice has 1766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5677C211yesmaximal, characteristic, complemented
2C2×#5648C211yesmaximal, characteristic, complemented
3C2×#5628C211yesmaximal, characteristic, complemented
4C2×#5552C211yesmaximal, characteristic, complemented
5C3×#2461C211yesmaximal, characteristic, complemented
6#82964C211yesmaximal, characteristic, complemented
7#82873C211yesmaximal, characteristic, complemented
8#82793C211yesmaximal, characteristic, complemented
9#82367C211yesmaximal, characteristic, complemented
10#77433C211yesmaximal, characteristic, complemented
11#77331C211yesmaximal, characteristic, complemented
12#77263C211yesmaximal, characteristic, complemented
13#77173C211yesmaximal, characteristic, complemented
14#77007C211yesmaximal, characteristic, complemented
15#76972C211yesmaximal, characteristic, complemented
16#76716C211yesmaximal, characteristic, complemented
17#76672C211yesmaximal, characteristic, complemented
18#76424C211yesmaximal, characteristic, complemented
19#76327C211yesmaximal, characteristic, complemented
20#75593C211yesmaximal, characteristic, complemented
21#75593C211yesmaximal, characteristic, complemented
22#75513C211yesmaximal, characteristic, complemented
23#75512C211yesmaximal, characteristic, complemented
24#75511C211yesmaximal, characteristic, complemented
25#75450C211yesmaximal, characteristic, complemented
26#74795C211yesmaximal, characteristic, complemented
27#74700C211yesmaximal, characteristic, complemented
28#74511C211yesmaximal, characteristic, complemented
29#74412C211yesmaximal, characteristic, complemented
30#73782C211yesmaximal, characteristic, complemented
31C4×#888C211yesmaximal, characteristic, complemented
32#39356—31nomaximal, Sylow
33C22×D3×Q8C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C23×Dic6C2211yescharacteristic
37C2×C3×#124C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic
39C2×C3×C22⋊Q8C2211yescharacteristic
40C2×C3×C4×D4C2211yescharacteristic
41C2×#946C2211yescharacteristic
42C2×#946C2211yescharacteristic
43C2×#940C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#938C2211yescharacteristic
47C2×#935C2211yescharacteristic
48C2×#930C2211yescharacteristic
49C2×#929C2211yescharacteristic
50C2×#924C2211yescharacteristic
51C2×#924C2211yescharacteristic
52#5677—28no—
53#5648—28no—
54#5628—28no—
55#5552—28no—
56C2×#897C2211yescharacteristic
57C2×#896C2211yescharacteristic
58C2×#896C2211yescharacteristic
59C2×#896C2211yescharacteristic
60C2×#896C2211yescharacteristic
61C2×#894C2211yescharacteristic
62C2×#894C2211yescharacteristic
63C2×#892C2211yescharacteristic
64C2×#888C2211yescharacteristic
65C2×#888C2211yescharacteristic
66C2×#888C2211yescharacteristic
67C2×#888C2211yescharacteristic
68C2×#886C2211yescharacteristic
69C2×#885C2211yescharacteristic
70C2×#885C2211yescharacteristic
71C2×#885C2211yescharacteristic
72C2×#885C2211yescharacteristic
73C2×#885C2211yescharacteristic
74C2×#885C2211yescharacteristic
75C2×#885C2211yescharacteristic
76C2×#885C2211yescharacteristic
77C2×#884C2211yescharacteristic
78C2×#884C2211yescharacteristic
79C2×#883C2211yescharacteristic
80C2×#883C2211yescharacteristic
81C2×#67⋊C4C2211yescharacteristic
82C2×#67⋊C4C2211yescharacteristic
83C2×#67⋊C4C2211yescharacteristic
84C2×#878C2211yescharacteristic
85C2×#878C2211yescharacteristic
86C2×#878C2211yescharacteristic
87C2×#878C2211yescharacteristic
88C2×#877C2211yescharacteristic
89C2×#875C2211yescharacteristic
90C2×C4×D12C2211yescharacteristic
91C2×C4×Dic6C2211yescharacteristic
92C2×C4×Dic6C2211yescharacteristic
93C3×#396C2211yescharacteristic
94C3×#395C2211yescharacteristic
95C3×#394C2211yescharacteristic
96C3×#392C2211yescharacteristic
97C3×#390C2211yescharacteristic
98C3×#388C2211yescharacteristic
99C3×#388C2211yescharacteristic
100C3×#388C2211yescharacteristic
101C3×#386C2211yescharacteristic
102C3×#385C2211yescharacteristic
103C3×C4×C4⋊C4C2211yescharacteristic
104#5230C2211yescharacteristic
105#5223C2211yescharacteristic
106#5223C2211yescharacteristic
107#5223C2211yescharacteristic
108#5222C2211yescharacteristic
109#5221C2211yescharacteristic
110#5220C2211yescharacteristic
111#5213C2211yescharacteristic
112#5210C2211yescharacteristic
113#4994C2211yescharacteristic
114#4994C2211yescharacteristic
115#4994C2211yescharacteristic
116#4994C2211yescharacteristic
117#4994C2211yescharacteristic
118#4991C2211yescharacteristic
119#4989C2211yescharacteristic
120#4989C2211yescharacteristic
121#4988C2211yescharacteristic
122#4984C2211yescharacteristic
123#4979C2211yescharacteristic
124#4979C2211yescharacteristic
125#4979C2211yescharacteristic
126#4976C2211yescharacteristic
127#4975C2211yescharacteristic
128#4972C2211yescharacteristic
129#4961C2211yescharacteristic
130#4961C2211yescharacteristic
131#4960C2211yescharacteristic
132#4960C2211yescharacteristic
133#4960C2211yescharacteristic
134#4959C2211yescharacteristic
135#4959C2211yescharacteristic
136#4958C2211yescharacteristic
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic
139#4957C2211yescharacteristic
140#4957C2211yescharacteristic
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic
143#4957C2211yescharacteristic
144#4957C2211yescharacteristic
145#4956C2211yescharacteristic
146#4956C2211yescharacteristic
147#4951C2211yescharacteristic
148#4950C2211yescharacteristic
149#4948C2211yescharacteristic
150#4948C2211yescharacteristic
151#4948C2211yescharacteristic
152#4948C2211yescharacteristic
153#4948C2211yescharacteristic
154#4948C2211yescharacteristic
155#4948C2211yescharacteristic
156#4946C2211yescharacteristic
157#4944C2211yescharacteristic
158#4944C2211yescharacteristic
159Dic3×C22⋊C4C2211yescharacteristic
160#4940C2211yescharacteristic
161#4940C2211yescharacteristic
162#4940C2211yescharacteristic
163#4939C2211yescharacteristic
164C4×C4⋊Dic3C2211yescharacteristic
165C4×Dic3⋊C4C2211yescharacteristic
166C4×Dic3⋊C4C2211yescharacteristic
167C42×Dic3C2211yescharacteristic
168#4676C2211yescharacteristic
169#4676C2211yescharacteristic
170#4676C2211yescharacteristic
171#4672C2211yescharacteristic
172#4671C2211yescharacteristic
173#4670C2211yescharacteristic
174#4670C2211yescharacteristic
175#4669C2211yescharacteristic
176#4668C2211yescharacteristic
177#4668C2211yescharacteristic
178#4666C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4656C2211yescharacteristic
182#4656C2211yescharacteristic
183#4656C2211yescharacteristic
184#4649C2211yescharacteristic
185#4647C2211yescharacteristic
186#4647C2211yescharacteristic
187#4647C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190#4646C2211yescharacteristic
191#4646C2211yescharacteristic
192C2×#548—31no—
193C2×#548—31no—
194C2×#536—31no—
195C2×#536—31no—
196#2858—31no—
197#2683—31no—
198#2683—31no—
199#2683—31no—
200#2683—31no—
201#2682—31no—
202#2682—31no—
203#2682—31no—
204#2682—31no—
205#2620—31no—
206#2620—31no—
207#2545—31no—
208#2545—31no—
209#2461—31no—
210#2461—31no—
211#2461—31no—
212#2461—31no—
213#2461—31no—
214#2461—31no—
215#2461—31no—
216#2461D311yescharacteristic, complemented
217#2434—31no—
218#2434—31no—
219#2431—31no—
220#2431—31no—
221C4×C4⋊Q8—31no—
222#2293—31no—
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C2×D3×Q8—24no—
242C2×D3×Q8—24no—
243C2×D3×Q8—42no—
244C2×#237—24no—
245C2×#237—24no—
246C2×#237—42no—
247C2×#235—24no—
248C2×#235—24no—
249C2×#235—42no—
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×Dic6—24no—
259C22×Dic6—24no—
260C22×Dic6—42no—
261C22×Dic6C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C22×Dic6C2311yescharacteristic
265C22×Dic6C2311yescharacteristic
266C22×Dic6C2311yescharacteristic
267C22×Dic6C2311yescharacteristic
268C3×#124—24no—
269C3×#123—24no—
270C3×C22⋊Q8—24no—
271C3×C4×D4—24no—
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×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊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×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C42C2311yescharacteristic
293C2×C3×C42C2311yescharacteristic
294C2×C3×C42C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307#946—24no—
308#946—24no—
309#940—42no—
310#939—24no—
311#939—24no—
312#938—24no—
313#935—24no—
314#930—24no—
315#929—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350#924—24no—
351#924—24no—
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×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383#897—24no—
384#896—24no—
385#896—24no—
386#896—24no—
387#896—24no—
388#894—24no—
389#894—24no—
390#892—24no—
391#888—24no—
392#888—24no—
393#888—42no—
394#888D418yescomplemented
395#886—24no—
396#885—24no—
397#885—24no—
398#885—24no—
399#885—24no—
400#885—24no—
401#885—24no—
402#885—24no—
403#885—24no—
404#884—24no—
405#884—24no—
406#883—24no—
407#883—24no—
408#67⋊C4—24no—
409#67⋊C4—24no—
410#67⋊C4D418yescomplemented
411#878—24no—
412#878—24no—
413#878—24no—
414#878—24no—
415#877—24no—
416#875—24no—
417C4×D12—24no—
418C4×Dic6—24no—
419C4×Dic6—24no—
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—
446#548—68no—
447#548—68no—
448#536—68no—
449#536—68no—
450C2×C4⋊Q8—31no—
451C2×C4⋊Q8—31no—
452C2×C4⋊Q8—31no—
453C2×C4⋊Q8—31no—
454C2×#127—31no—
455C2×#124—31no—
456C2×#124—31no—
457C2×#124—31no—
458C2×#124—31no—
459C2×#124—31no—
460C2×#124—31no—
461C2×#124—31no—
462C2×#124—31no—
463C2×#124—31no—
464C2×#124C2×D311yescharacteristic
465C2×#123—31no—
466C2×#123—31no—
467C2×#123—31no—
468C2×#123—31no—
469C2×#123—31no—
470C2×#123—31no—
471C2×#123—31no—
472C2×#123C2×D311yescharacteristic
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⋊Q8—31no—
483C2×C22⋊Q8—31no—
484C2×C22⋊Q8—31no—
485C2×C22⋊Q8—31no—
486C2×C22⋊Q8C2×D311yescharacteristic
487C2×#121—31no—
488C2×#121—31no—
489C2×#121—31no—
490C2×#121—31no—
491C2×#121—31no—
492C2×#121—31no—
493C2×C4×Q8—31no—
494C2×C4×Q8—31no—
495C2×C4×D4—31no—
496C2×C4×D4—31no—
497C2×C4×D4—31no—
498C2×C4×D4—31no—
499C2×C4×D4C2×D311yescharacteristic
500C2×#117—31no—
501C2×#117—31no—
502#396—31no—
503#396—31no—
504#396—31no—
505#396—31no—
506#396—31no—
507#396—31no—
508#396—31no—
509#396—31no—
510#396—31no—
511#396—31no—
512#396—31no—
513#396—31no—
514#396—31no—
515#396—31no—
516#396—31no—
517#396C2×D311yescharacteristic
518#395—31no—
519#395—31no—
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#394C2×D311yescharacteristic
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#391—31no—
543#391—31no—
544#391—31no—
545#391—31no—
546#390—31no—
547#390—31no—
548#390—31no—
549#390—31no—
550#390—31no—
551#390—31no—
552#390—31no—
553#390—31no—
554#390—31no—
555#390—31no—
556#390—31no—
557#390C2×D311yescharacteristic
558#389—31no—
559#389—31no—
560#389—31no—
561#389—31no—
562#389—31no—
563#389—31no—
564#388—31no—
565#388—31no—
566#388—31no—
567#388—31no—
568#388—31no—
569#388—31no—
570#388—31no—
571#388—31no—
572#388—31no—
573#388C2×D311yescharacteristic
574#388C2×D311yescharacteristic
575#388C2×D311yescharacteristic
576#386—31no—
577#386—31no—
578#386—31no—
579#386—31no—
580#386—31no—
581#386—31no—
582#386—31no—
583#386C2×D311yescharacteristic
584#385—31no—
585#385—31no—
586#385—31no—
587#385—31no—
588#385—31no—
589#385—31no—
590#385—31no—
591#385C2×D311yescharacteristic
592#384—31no—
593C4×C4⋊C4—31no—
594C4×C4⋊C4—31no—
595C4×C4⋊C4—31no—
596C4×C4⋊C4—31no—
597C4×C4⋊C4C2×D311yescharacteristic
598C4×C22⋊C4—31no—
599C4×C22⋊C4—31no—
600C43—31no—
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C2×C3×Q8—22no—
608C2×C3×Q8—22no—
609C2×C3×Q8—41no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
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—22no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67C2×D414yes—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—22no—
668C22×Dic3—22no—
669C22×Dic3—22no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3C2×D414yes—
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686D3×Q8—416no—
687#237—416no—
688#235—416no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3C2×D414yes—
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—22no—
724C2×Dic6—22no—
725C2×Dic6—22no—
726C2×Dic6—22no—
727C2×Dic6—22no—
728C2×Dic6—22no—
729C2×Dic6—416no—
730C2×Dic6—41no—
731C2×Dic6—41no—
732C2×Dic6—41no—
733C2×Dic6C2×D414yes—
734C2×Dic6C2×D414yes—
735C3×C4⋊C4—22no—
736C3×C4⋊C4—22no—
737C3×C4⋊C4—22no—
738C3×C4⋊C4—22no—
739C3×C4⋊C4—41no—
740C3×C4⋊C4—41no—
741C3×C4⋊C4C2×D414yes—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—22no—
748C3×C22⋊C4—22no—
749C3×C22⋊C4—22no—
750C3×C22⋊C4—22no—
751C3×C22⋊C4—22no—
752C3×C22⋊C4—41no—
753C3×C22⋊C4—41no—
754C3×C22⋊C4C2×D414yes—
755C3×C42—22no—
756C3×C42—22no—
757C3×C42—22no—
758#217—22no—
759#217—22no—
760#217—22no—
761#217—22no—
762#217—22no—
763#217—22no—
764#217—22no—
765#217—22no—
766#217—22no—
767#217—22no—
768#217—41no—
769#217—41no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4C2×D414yes—
795C4⋊Dic3—22no—
796C4⋊Dic3—22no—
797C4⋊Dic3—22no—
798C4⋊Dic3—22no—
799C4⋊Dic3—22no—
800C4⋊Dic3—22no—
801C4⋊Dic3—41no—
802C4⋊Dic3—41no—
803C4⋊Dic3C2×D414yes—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818Dic3⋊C4—41no—
819Dic3⋊C4—41no—
820Dic3⋊C4—41no—
821Dic3⋊C4—41no—
822Dic3⋊C4C2×D414yes—
823Dic3⋊C4C2×D414yes—
824Dic3⋊C4C2×D414yes—
825C4×Dic3—22no—
826C4×Dic3—22no—
827C4×Dic3—22no—
828C4×Dic3—22no—
829C4×Dic3—22no—
830C4×Dic3—22no—
831C4×Dic3—41no—
832C4×Dic3—41no—
833C4×Dic3C2×D414yes—
834C4×Dic3C2×D414yes—
835C2×#41—64no—
836C2×#41—64no—
837C2×#41—64no—
838C2×#41—64no—
839C2×#41—122no—
840C2×#41—122no—
841C22×Q8—31no—
842C22×Q8—31no—
843C22×Q8—31no—
844C22×Q8—31no—
845C22×Q8—31no—
846C22×Q8—31no—
847C22×Q8—31no—
848C22×Q8—64no—
849C22×Q8—64no—
850C22×Q8—64no—
851C22×Q8—64no—
852C22×Q8—122no—
853C22×Q8—122no—
854C22×Q8C22×D311yescharacteristic
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4C22×D311yescharacteristic
868C22×D4C22×D311yescharacteristic
869C22×D4C22×D311yescharacteristic
870C23×C4—31no—
871C23×C4—31no—
872C23×C4—31no—
873C23×C4—31no—
874C23×C4—31no—
875C23×C4—31no—
876C23×C4—31no—
877C23×C4—31no—
878C23×C4C22×D311yescharacteristic
879C23×C4C22×D311yescharacteristic
880C4⋊Q8—38no—
881C4⋊Q8—64no—
882C4⋊Q8—64no—
883C4⋊Q8—122no—
884#127—122no—
885#124—24no—
886#124—64no—
887#124—64no—
888#124—64no—
889#124—64no—
890#124—64no—
891#124—64no—
892#124—64no—
893#124—64no—
894#124—64no—
895#123—24no—
896#123—64no—
897#123—64no—
898#123—64no—
899#123—64no—
900#123—64no—
901#123—64no—
902#123—64no—
903C22⋊Q8—24no—
904C22⋊Q8—64no—
905C22⋊Q8—64no—
906C22⋊Q8—64no—
907C22⋊Q8—64no—
908C22⋊Q8—64no—
909C22⋊Q8—64no—
910C22⋊Q8—64no—
911C22⋊Q8—64no—
912C22⋊Q8—64no—
913C22⋊Q8—64no—
914C22⋊Q8—64no—
915C22⋊Q8—64no—
916C22⋊Q8—64no—
917#121—64no—
918#121—64no—
919#121—64no—
920#121—64no—
921#121—64no—
922#121—64no—
923C4×Q8—64no—
924C4×Q8—64no—
925C4×D4—24no—
926C4×D4—38no—
927C4×D4—64no—
928C4×D4—64no—
929C4×D4—64no—
930#117—64no—
931#117—64no—
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—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⋊C4C22×D311yescharacteristic
963C2×C4⋊C4C22×D311yescharacteristic
964C2×C4⋊C4C22×D311yescharacteristic
965C2×C4⋊C4C22×D311yescharacteristic
966C2×C4⋊C4C22×D311yescharacteristic
967C2×C4⋊C4C22×D311yescharacteristic
968C2×C4⋊C4C22×D311yescharacteristic
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⋊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⋊C4C22×D311yescharacteristic
1007C2×C22⋊C4C22×D311yescharacteristic
1008C2×C22⋊C4C22×D311yescharacteristic
1009C2×C22⋊C4C22×D311yescharacteristic
1010C2×C22⋊C4C22×D311yescharacteristic
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C22⋊C4C22×D311yescharacteristic
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C42—31no—
1020C2×C42—31no—
1021C2×C42—31no—
1022C2×C42—31no—
1023C2×C42—31no—
1024C2×C42—31no—
1025C2×C42—31no—
1026C2×C42—31no—
1027C2×C42—31no—
1028C2×C42—31no—
1029C2×C42C22×D311yescharacteristic
1030C2×C42C22×D311yescharacteristic
1031C2×C42C22×D311yescharacteristic
1032#95—31no—
1033#95—31no—
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#95C22×D311yescharacteristic
1049#95C22×D311yescharacteristic
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
1052#95C22×D311yescharacteristic
1053#95C22×D311yescharacteristic
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
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×C3C22×D412yes—
1075C23×C3C2511yescharacteristic
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3C22×D412yes—
1097C3×Q8—44no—
1098C3×D4—44no—
1099C3×D4—44no—
1100C3×D4—82no—
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—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
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—44no—
1132C2×C3×C4—44no—
1133C2×C3×C4C22×D412yes—
1134C2×C3×C4C22×D412yes—
1135C2×C3×C4C22×D412yes—
1136C2×C3×C4C22×D412yes—
1137C2×C3×C4C22×D412yes—
1138C2×C3×C42−1+412yes—
1139#67—44no—
1140#67—44no—
1141#67—44no—
1142#67—44no—
1143#67—44no—
1144#67—44no—
1145#67—44no—
1146#67—82no—
1147#67—82no—
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—28no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—44no—
1180C2×Dic3—44no—
1181C2×Dic3C22×D412yes—
1182C2×Dic3C22×D412yes—
1183C2×Dic3C22×D412yes—
1184C2×Dic3C22×D412yes—
1185C2×Dic3C22×D412yes—
1186C2×Dic3C22×D412yes—
1187C2×Dic3C22×D412yes—
1188C2×Dic3H(5,𝔽2)12yes—
1189C2×Dic32−1+412yes—
1190D12—44no—
1191D12—44no—
1192D12—82no—
1193C4×D3—28no—
1194C4×D3—44no—
1195C4×D3—44no—
1196C4×D3—44no—
1197C4×D3—44no—
1198Dic6—28no—
1199Dic6—28no—
1200Dic6—44no—
1201Dic6—44no—
1202Dic6—44no—
1203Dic6—44no—
1204Dic6—44no—
1205C24—31no—
1206C24—31no—
1207C24—31no—
1208C24C23×D311yescharacteristic
1209C24C23×D311yescharacteristic
1210C24C23×D311yescharacteristic
1211#41—1216no—
1212#41—1216no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—34no—
1216C2×Q8—34no—
1217C2×Q8—41no—
1218C2×Q8—62no—
1219C2×Q8—62no—
1220C2×Q8—62no—
1221C2×Q8—62no—
1222C2×Q8—62no—
1223C2×Q8—62no—
1224C2×Q8—62no—
1225C2×Q8—62no—
1226C2×Q8—62no—
1227C2×Q8—62no—
1228C2×Q8—62no—
1229C2×Q8—62no—
1230C2×Q8—62no—
1231C2×Q8—62no—
1232C2×Q8—62no—
1233C2×Q8—62no—
1234C2×Q8—121no—
1235C2×Q8—121no—
1236C2×Q8—121no—
1237C2×Q8—1216no—
1238C2×Q8—1216no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—34no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—31no—
1289C22×C4—34no—
1290C22×C4—31no—
1291C22×C4—31no—
1292C22×C4—31no—
1293C22×C4—31no—
1294C22×C4—31no—
1295C22×C4—31no—
1296C22×C4—34no—
1297C22×C4—31no—
1298C22×C4—31no—
1299C22×C4—31no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—62no—
1306C22×C4—62no—
1307C22×C4—62no—
1308C22×C4—62no—
1309C22×C4—62no—
1310C22×C4—62no—
1311C22×C4—62no—
1312C22×C4—62no—
1313C22×C4—62no—
1314C22×C4—62no—
1315C22×C4—62no—
1316C22×C4—62no—
1317C22×C4—62no—
1318C22×C4—62no—
1319C22×C4—62no—
1320C22×C4—62no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—121no—
1326C22×C4—121no—
1327C22×C4C23×D311yescharacteristic
1328C22×C4C23×D311yescharacteristic
1329C22×C4C23×D311yescharacteristic
1330C22×C4C23×D311yescharacteristic
1331C22×C4C23×D311yescharacteristic
1332C22×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—34no—
1344C4⋊C4—34no—
1345C4⋊C4—34no—
1346C4⋊C4—34no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—62no—
1356C4⋊C4—62no—
1357C4⋊C4—62no—
1358C4⋊C4—62no—
1359C4⋊C4—62no—
1360C4⋊C4—62no—
1361C4⋊C4—62no—
1362C4⋊C4—62no—
1363C4⋊C4—62no—
1364C4⋊C4—62no—
1365C4⋊C4—62no—
1366C4⋊C4—62no—
1367C4⋊C4—121no—
1368C4⋊C4—121no—
1369C4⋊C4—121no—
1370C4⋊C4—121no—
1371C4⋊C4—121no—
1372C4⋊C4—121no—
1373C4⋊C4—121no—
1374C4⋊C4—121no—
1375C4⋊C4D3×D414yes—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—34no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4D3×D414yes—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—34no—
1430C42—34no—
1431C42—62no—
1432C42—62no—
1433C42—62no—
1434C42—62no—
1435C42—62no—
1436C42—62no—
1437C42—121no—
1438C42—121no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—22no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3—41no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3—41no—
1459C22×C3—41no—
1460C22×C3C23×D411yescharacteristic
1461C22×C3C23×D411yescharacteristic
1462C22×C3C2×H(5,𝔽2)11yescharacteristic
1463C22×C3C2×2−1+411yescharacteristic
1464C22×C3C2×2−1+411yescharacteristic
1465C22×C3#58511yescharacteristic
1466C22×C3#58511yescharacteristic
1467C2×D3—22no—
1468C2×D3—22no—
1469C2×D3—22no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C3×C4—22no—
1489C3×C4—22no—
1490C3×C4—22no—
1491C3×C4—22no—
1492C3×C4—22no—
1493C3×C4—22no—
1494C3×C4—41no—
1495C3×C4—41no—
1496C3×C4—41no—
1497C3×C4—41no—
1498C3×C4—41no—
1499C3×C4—41no—
1500Dic3—22no—
1501Dic3—22no—
1502Dic3—22no—
1503Dic3—22no—
1504Dic3—22no—
1505Dic3—22no—
1506Dic3—41no—
1507Dic3—41no—
1508Dic3—41no—
1509Dic3—41no—
1510Dic3—41no—
1511Dic3—41no—
1512Dic3D4214yes—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—32no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—61no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—61no—
1543C23—61no—
1544C23—61no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23C2×D3×D412yes—
1555C23C24×D311yescharacteristic
1556Q8—44no—
1557Q8—68no—
1558Q8—68no—
1559Q8—124no—
1560Q8—124no—
1561Q8—124no—
1562Q8—124no—
1563Q8—124no—
1564D4—44no—
1565D4—44no—
1566D4—82no—
1567D4—124no—
1568D4—124no—
1569D4—124no—
1570D4—124no—
1571D4—124no—
1572D4—124no—
1573D4—124no—
1574D4—124no—
1575D4—124no—
1576D4—242no—
1577D4—242no—
1578D4—242no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—32no—
1610C2×C4—32no—
1611C2×C4—32no—
1612C2×C4—32no—
1613C2×C4—32no—
1614C2×C4—32no—
1615C2×C4—32no—
1616C2×C4—32no—
1617C2×C4—32no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—68no—
1621C2×C4—68no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—124no—
1653C2×C4—124no—
1654C2×C4—124no—
1655C2×C4—124no—
1656C2×C4—124no—
1657C2×C4—124no—
1658C2×C4C2×D3×D412yes—
1659C2×C4C2×D3×D412yes—
1660C2×C4C2×D3×D412yes—
1661C2×C4C2×D3×D412yes—
1662C2×C4C2×D3×D412yes—
1663C2×C4#101012yes—
1664C2×C3—42no—
1665C2×C3—81no—
1666C2×C3—81no—
1667C2×C3#344911yescharacteristic
1668C2×C3C2×D4211yescharacteristic
1669C2×C3#349711yescharacteristic
1670C2×C3#349711yescharacteristic
1671C2×C3#349911yescharacteristic
1672C2×C3#356111yescharacteristic
1673C2×C3#356111yescharacteristic
1674D3—42no—
1675D3—81no—
1676D3—81no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—62no—
1699C22—62no—
1700C22—62no—
1701C22—121no—
1702C22—121no—
1703C22—121no—
1704C22—121no—
1705C22—121no—
1706C22—121no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
1711C22—121no—
1712C22—121no—
1713C22—121no—
1714C22—121no—
1715C22—121no—
1716C22—121no—
1717C22—121no—
1718C22—121no—
1719C22C22×D3×D411yescharacteristic
1720C22C22×D3×D411yescharacteristic
1721C22C2×#101011yescharacteristic
1722C22#596411yescharacteristic
1723C22#596411yescharacteristic
1724C22D3×H(5,𝔽2)11yescharacteristic
1725C22D3×2−1+411yescharacteristic
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—22no—
1730C4—22no—
1731C4—22no—
1732C4—34no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—62no—
1740C4—62no—
1741C4—62no—
1742C4—62no—
1743C4—62no—
1744C4—62no—
1745C4—121no—
1746C4—121no—
1747C4—121no—
1748C4—121no—
1749C4—121no—
1750C4—121no—
1751C3#3935611yescharacteristic, complemented, Sylow
1752C2—42no—
1753C2—81no—
1754C2—81no—
1755C2—122no—
1756C2—241no—
1757C2—241no—
1758C2#8603511yescharacteristic
1759C2#8622211yescharacteristic
1760C2#8654011yescharacteristic
1761C2D3×D4211yescharacteristic
1762C2#8667911yescharacteristic
1763C2#8673711yescharacteristic
1764C2#8680811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2461C2
hypercenter#2461D3
hypocenterC3#39356
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2461

Complements

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

NH ≅ G/Ntype
1. C2×#5677C2semidirect
2. C2×#5648C2semidirect
3. C2×#5628C2semidirect
4. C2×#5552C2semidirect
5. C3×#2461C2semidirect
6. #82964C2semidirect
7. #82873C2semidirect
8. #82793C2semidirect
9. #82367C2semidirect
10. #77433C2semidirect
11. #77331C2semidirect
12. #77263C2semidirect
13. #77173C2semidirect
14. #77007C2semidirect
15. #76972C2semidirect
16. #76716C2semidirect
17. #76672C2semidirect
18. #76424C2semidirect
19. #76327C2semidirect
20. #75593C2semidirect
21. #75593C2semidirect
22. #75513C2semidirect
23. #75512C2semidirect
24. #75511C2semidirect
25. #75450C2semidirect
26. #74795C2semidirect
27. #74700C2semidirect
28. #74511C2semidirect
29. #74412C2semidirect
30. #73782C2semidirect
31. C4×#888C2semidirect
216. #2461D3semidirect
394. #888D4semidirect
410. #67⋊C4D4semidirect
1751. C3#39356semidirect

Maximal subgroups

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

subgroupindex
C2×#56772
C2×#56482
C2×#56282
C2×#55522
C3×#24612
#829642
#828732
#827932
#823672
#774332
#773312
#772632
#771732
#770072
#769722
#767162
#766722
#764242
#763272
#755932
#755132
#755122
#755112
#754502
#747952
#747002
#745112
#744122
#737822
C4×#8882
#393563