Finite Group Databasebeta

← #11023919

Subgroups — #11023919

Order 768.

3222 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5629C211yesmaximal, characteristic, complemented
2C2×#5627C211yesmaximal, characteristic, complemented
3C2×#5552C211yesmaximal, characteristic, complemented
4C22×#896C211yesmaximal, characteristic, complemented
5C3×#2449C211yesmaximal, characteristic, complemented
6#82793C211yesmaximal, characteristic, complemented
7#82764C211yesmaximal, characteristic, complemented
8#82407C211yesmaximal, characteristic, complemented
9#82193C211yesmaximal, characteristic, complemented
10#78114C211yesmaximal, characteristic, complemented
11#78036C211yesmaximal, characteristic, complemented
12#77970C211yesmaximal, characteristic, complemented
13#77742C211yesmaximal, characteristic, complemented
14#77429C211yesmaximal, characteristic, complemented
15#77331C211yesmaximal, characteristic, complemented
16#77263C211yesmaximal, characteristic, complemented
17#77201C211yesmaximal, characteristic, complemented
18#76257C211yesmaximal, characteristic, complemented
19#76059C211yesmaximal, characteristic, complemented
20#75389C211yesmaximal, characteristic, complemented
21#74947C211yesmaximal, characteristic, complemented
22#74935C211yesmaximal, characteristic, complemented
23#74893C211yesmaximal, characteristic, complemented
24#74692C211yesmaximal, characteristic, complemented
25#74692C211yesmaximal, characteristic, complemented
26#74632C211yesmaximal, characteristic, complemented
27#74605C211yesmaximal, characteristic, complemented
28#74605C211yesmaximal, characteristic, complemented
29#74405C211yesmaximal, characteristic, complemented
30#74404C211yesmaximal, characteristic, complemented
31#74393C211yesmaximal, characteristic, complemented
32#37649—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×#235C2211yescharacteristic, complemented
35C23×C4×D3C2211yescharacteristic
36C23×Dic6C2211yescharacteristic
37C2×C3×C22⋊Q8C2211yescharacteristic
38C2×C3×C22⋊Q8C2211yescharacteristic, complemented
39C2×C3×C4×D4C2211yescharacteristic
40C22×C3×C4⋊C4C2211yescharacteristic
41C2×#946C2211yescharacteristic
42C2×#946C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#930C2211yescharacteristic
48C2×#930C2211yescharacteristic
49C2×#930C2211yescharacteristic
50C2×#930C2211yescharacteristic
51C2×C4×#67C2211yescharacteristic
52C22×(C2×D3)⋊C4C2211yescharacteristic
53C22×(C2×D3)⋊C4C2211yescharacteristic
54C2×#924C2211yescharacteristic, complemented
55C22×Dic3⋊C4C2211yescharacteristic
56C22×Dic3⋊C4C2211yescharacteristic
57#5629—28no—
58#5627—28no—
59#5552—28no—
60C2×#896—28no—
61C2×#896C2211yescharacteristic
62C2×#896C2211yescharacteristic
63C2×#896C2211yescharacteristic
64C2×#896C2211yescharacteristic
65C2×#896C2211yescharacteristic
66C2×#896C2211yescharacteristic
67C2×#896C2211yescharacteristic
68C2×#896C2211yescharacteristic
69C2×#896C2211yescharacteristic, complemented
70C2×#896C2211yescharacteristic, complemented
71C2×#896C2211yescharacteristic, complemented
72C2×#896C2211yescharacteristic, complemented
73C2×#895C2211yescharacteristic
74C2×#895C2211yescharacteristic
75C2×#895C2211yescharacteristic
76C2×#895C2211yescharacteristic, complemented
77C2×#894C2211yescharacteristic
78C2×#894C2211yescharacteristic
79C2×#893C2211yescharacteristic
80C2×#893C2211yescharacteristic
81C2×#892C2211yescharacteristic
82C2×D3×C4⋊C4C2211yescharacteristic, complemented
83C2×#885C2211yescharacteristic, complemented
84C2×#885C2211yescharacteristic, complemented
85C2×#884C2211yescharacteristic
86C2×#884C2211yescharacteristic
87C2×#884C2211yescharacteristic
88C2×#884C2211yescharacteristic, complemented
89C2×#884C2211yescharacteristic, complemented
90C2×#882C2211yescharacteristic
91C2×#882C2211yescharacteristic
92C2×#882C2211yescharacteristic
93C2×#67⋊C4C2211yescharacteristic
94C2×#67⋊C4C2211yescharacteristic
95C2×#67⋊C4C2211yescharacteristic
96C2×#67⋊C4C2211yescharacteristic
97C2×#875C2211yescharacteristic, complemented
98C2×C4×Dic6C2211yescharacteristic, complemented
99C3×#399C2211yescharacteristic, complemented
100C3×#398C2211yescharacteristic, complemented
101C3×#396C2211yescharacteristic, complemented
102C3×#395C2211yescharacteristic, complemented
103C3×#389C2211yescharacteristic, complemented
104C3×#387C2211yescharacteristic, complemented
105C3×#386C2211yescharacteristic
106C3×#386C2211yescharacteristic
107C3×#385C2211yescharacteristic
108C3×#385C2211yescharacteristic
109C3×#385C2211yescharacteristic, complemented
110#5230C2211yescharacteristic, complemented
111#5213C2211yescharacteristic
112#5213C2211yescharacteristic
113#5213C2211yescharacteristic
114#4994C2211yescharacteristic
115#4994C2211yescharacteristic
116#4994C2211yescharacteristic
117#4994C2211yescharacteristic, complemented
118#4994C2211yescharacteristic, complemented
119#4994C2211yescharacteristic, complemented
120#4993C2211yescharacteristic, complemented
121#4991C2211yescharacteristic
122#4991C2211yescharacteristic
123#4991C2211yescharacteristic
124#4991C2211yescharacteristic, complemented
125#4991C2211yescharacteristic, complemented
126#4989C2211yescharacteristic, complemented
127#4989C2211yescharacteristic, complemented
128#4988C2211yescharacteristic
129#4988C2211yescharacteristic
130#4988C2211yescharacteristic, complemented
131#4987C2211yescharacteristic, complemented
132#4984C2211yescharacteristic, complemented
133#4982C2211yescharacteristic, complemented
134#4979C2211yescharacteristic, complemented
135#4979C2211yescharacteristic, complemented
136#4978C2211yescharacteristic, complemented
137#4976C2211yescharacteristic, complemented
138#4975C2211yescharacteristic, complemented
139#4972C2211yescharacteristic, complemented
140#4961C2211yescharacteristic
141#4960C2211yescharacteristic
142#4960C2211yescharacteristic
143#4959C2211yescharacteristic
144#4959C2211yescharacteristic, complemented
145#4959C2211yescharacteristic, complemented
146#4958C2211yescharacteristic
147#4958C2211yescharacteristic
148#4957C2211yescharacteristic
149#4957C2211yescharacteristic, complemented
150#4957C2211yescharacteristic, complemented
151#4956C2211yescharacteristic
152#4956C2211yescharacteristic
153#4950C2211yescharacteristic
154#4948C2211yescharacteristic, complemented
155#4948C2211yescharacteristic, complemented
156#4946C2211yescharacteristic
157#4942C2211yescharacteristic
158#4940C2211yescharacteristic
159#4939C2211yescharacteristic
160#4676C2211yescharacteristic
161#4676C2211yescharacteristic, complemented
162#4676C2211yescharacteristic, complemented
163#4673C2211yescharacteristic, complemented
164#4673C2211yescharacteristic, complemented
165#4672C2211yescharacteristic
166#4672C2211yescharacteristic
167#4672C2211yescharacteristic
168#4672C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4671C2211yescharacteristic
171#4671C2211yescharacteristic
172#4670C2211yescharacteristic
173#4670C2211yescharacteristic
174#4669C2211yescharacteristic
175#4668C2211yescharacteristic, complemented
176#4667C2211yescharacteristic
177#4667C2211yescharacteristic
178#4667C2211yescharacteristic, complemented
179#4667C2211yescharacteristic, complemented
180#4667C2211yescharacteristic, complemented
181#4665C2211yescharacteristic
182#4665C2211yescharacteristic
183#4665C2211yescharacteristic
184#4665C2211yescharacteristic
185#4665C2211yescharacteristic
186#4649C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190#4646C2211yescharacteristic, complemented
191#4646C2211yescharacteristic, complemented
192C2×#548—31no—
193C2×#537—31no—
194C2×#525—31no—
195C22×C22⋊Q8—31no—
196#2847—31no—
197#2683—31no—
198#2683—31no—
199#2681—31no—
200#2681—31no—
201#2676—31no—
202#2676—31no—
203#2672—31no—
204#2672—31no—
205#2620—31no—
206#2616—31no—
207#2540—31no—
208#2538—31no—
209#2449—31no—
210#2449D311yescharacteristic, complemented
211#2424—31no—
212#2424—31no—
213#2424—31no—
214#2424—31no—
215#2417—31no—
216#2416—31no—
217#2416—31no—
218#2416—31no—
219#2409—31no—
220#2407—31no—
221D4×C4⋊C4—31no—
222#2323—31no—
223C24×D3C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C2×#239—24no—
242C2×#239—24no—
243C2×#239—42no—
244C2×#235—24no—
245C2×#235—24no—
246C2×#235—42no—
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×C4×D3—24no—
257C22×C4×D3—24no—
258C22×C4×D3—42no—
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×Dic6—24no—
269C22×Dic6—24no—
270C22×Dic6—42no—
271C22×Dic6C2311yescharacteristic
272C22×Dic6C2311yescharacteristic
273C22×Dic6C2311yescharacteristic
274C22×Dic6C2311yescharacteristic
275C3×C22⋊Q8—24no—
276C3×C22⋊Q8—24no—
277C3×C4×D4—24no—
278C2×C3×C4⋊C4—24no—
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C4⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C42C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304#946—24no—
305#946—24no—
306#939—24no—
307#939—24no—
308#939—42no—
309#937—42no—
310#930—24no—
311#930—24no—
312#930—24no—
313#930—42no—
314C4×#67—42no—
315C2×(C2×D3)⋊C4—24no—
316C2×(C2×D3)⋊C4—24no—
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×(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×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360#924—24no—
361C2×Dic3⋊C4—24no—
362C2×Dic3⋊C4—24no—
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×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×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388#896—24no—
389#896—24no—
390#896—24no—
391#896—24no—
392#896—24no—
393#896—24no—
394#896—24no—
395#896—24no—
396#896—24no—
397#896—24no—
398#896—42no—
399#896D418yescomplemented
400#895—24no—
401#895—24no—
402#895—24no—
403#895—24no—
404#894—24no—
405#894—24no—
406#893—24no—
407#893—24no—
408#892—24no—
409D3×C4⋊C4—24no—
410#885—24no—
411#885—24no—
412#884—24no—
413#884—24no—
414#884—24no—
415#884—24no—
416#884—42no—
417#882—24no—
418#882—24no—
419#882—42no—
420#67⋊C4—24no—
421#67⋊C4—24no—
422#67⋊C4—42no—
423#67⋊C4D418yescomplemented
424#875—24no—
425C4×Dic6—24no—
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
442C3⋊#95C2311yescharacteristic
443C3⋊#95C2311yescharacteristic
444C3⋊#95C2311yescharacteristic
445C3⋊#95C2311yescharacteristic
446C3⋊#95C2311yescharacteristic
447C3⋊#95C2311yescharacteristic
448C22×#41—31no—
449C22×#41—31no—
450C23×Q8—31no—
451C24×C4—31no—
452#548—68no—
453#537—68no—
454C2×#124—31no—
455C2×#124—31no—
456C2×#124—31no—
457#525—68no—
458C2×#123—31no—
459C2×#123—31no—
460C2×C22⋊Q8—31no—
461C2×C22⋊Q8—31no—
462C2×C22⋊Q8—31no—
463C2×C22⋊Q8—31no—
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×C22⋊Q8—31no—
473C2×C22⋊Q8—31no—
474C2×C22⋊Q8—31no—
475C2×C22⋊Q8—68no—
476C2×C22⋊Q8C2×D311yescharacteristic
477C2×C22⋊Q8C2×D311yescharacteristic, complemented
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×#121—31no—
488C2×#121—31no—
489C2×#121—31no—
490C2×#121—31no—
491C2×#121—31no—
492C2×#121—31no—
493C2×#121—31no—
494C2×#120—31no—
495C2×#120—31no—
496C2×#120—31no—
497C2×#120—31no—
498C2×C4×Q8—31no—
499C2×C4×D4—31no—
500C2×C4×D4—31no—
501C2×C4×D4—31no—
502C2×C4×D4—31no—
503C2×C4×D4—31no—
504C2×C4×D4—31no—
505C2×C4×D4—31no—
506C2×C4×D4C2×D311yescharacteristic
507C2×#117—31no—
508C22×C4⋊C4—31no—
509C22×C4⋊C4—31no—
510C22×C4⋊C4—31no—
511C22×C4⋊C4C2×D311yescharacteristic
512C22×C22⋊C4—31no—
513C22×C22⋊C4—31no—
514#399—31no—
515#399C2×D311yescharacteristic, complemented
516#398—31no—
517#398C2×D311yescharacteristic, complemented
518#396—31no—
519#396—31no—
520#396—31no—
521#396—31no—
522#396—31no—
523#396—31no—
524#396—31no—
525#396—31no—
526#396—31no—
527#396—31no—
528#396—31no—
529#396C2×D311yescharacteristic, complemented
530#395—31no—
531#395—31no—
532#395—31no—
533#395C2×D311yescharacteristic, complemented
534#394—31no—
535#394—31no—
536#394—31no—
537#394—31no—
538#394—31no—
539#394—31no—
540#394—31no—
541#394—31no—
542#394—31no—
543#394—31no—
544#394—31no—
545#394—31no—
546#394—31no—
547#394—31no—
548#393—31no—
549#393—31no—
550#392—31no—
551#392—31no—
552#392—31no—
553#392—31no—
554#391—31no—
555#391—31no—
556#390—31no—
557#390—31no—
558#390—31no—
559#390—31no—
560#390—31no—
561#390—31no—
562#390—31no—
563#389—31no—
564#389—31no—
565#389—31no—
566#389—31no—
567#389—31no—
568#389—31no—
569#389C2×D311yescharacteristic, complemented
570#388—31no—
571#388—31no—
572#388—31no—
573#388—31no—
574#387—31no—
575#387C2×D311yescharacteristic, complemented
576#386—31no—
577#386—31no—
578#386—31no—
579#386—31no—
580#386—31no—
581#386—31no—
582#386—31no—
583#386—31no—
584#386—31no—
585#386—31no—
586#386—31no—
587#386—31no—
588#386C2×D311yescharacteristic
589#386C2×D311yescharacteristic
590#385—31no—
591#385—31no—
592#385—31no—
593#385—31no—
594#385—31no—
595#385C2×D311yescharacteristic
596#385C2×D311yescharacteristic
597#385C2×D311yescharacteristic, complemented
598#384—31no—
599#380—31no—
600#380—31no—
601#380—31no—
602#380—31no—
603#380—31no—
604#380—31no—
605#380—31no—
606C4×C4⋊C4—31no—
607C24×C3C2411yescharacteristic
608C24×C3C2411yescharacteristic
609C23×D3—22no—
610C23×D3—22no—
611C23×D3—22no—
612C23×D3—22no—
613C23×D3—22no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3C2411yescharacteristic
617C23×D3C2411yescharacteristic
618C23×D3C2411yescharacteristic
619C23×D3C2411yescharacteristic
620C23×D3C2411yescharacteristic
621C2×C3×Q8—22no—
622C2×C3×Q8—22no—
623C2×C3×Q8—41no—
624C2×C3×D4—22no—
625C2×C3×D4—22no—
626C2×C3×D4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—22no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
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—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67C2×D414yes—
676C22×Dic3—22no—
677C22×Dic3—22no—
678C22×Dic3—22no—
679C22×Dic3—22no—
680C22×Dic3—22no—
681C22×Dic3—22no—
682C22×Dic3—41no—
683C22×Dic3—41no—
684C22×Dic3C2×D414yes—
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696#239—416no—
697#235—416no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—22no—
702C2×D12—22no—
703C2×D12—22no—
704C2×D12—22no—
705C2×D12—22no—
706C2×D12—22no—
707C2×D12—22no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×C4×D3—22no—
726C2×C4×D3—22no—
727C2×C4×D3—22no—
728C2×C4×D3—22no—
729C2×C4×D3—22no—
730C2×C4×D3—22no—
731C2×C4×D3—22no—
732C2×C4×D3—22no—
733C2×C4×D3—22no—
734C2×C4×D3—22no—
735C2×C4×D3—22no—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—22no—
740C2×C4×D3—22no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
743C2×C4×D3—416no—
744C2×C4×D3—41no—
745C2×C4×D3—41no—
746C2×C4×D3—41no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3C2×D414yes—
752C2×C4×D3C2×D414yes—
753C2×Dic6—22no—
754C2×Dic6—22no—
755C2×Dic6—22no—
756C2×Dic6—22no—
757C2×Dic6—22no—
758C2×Dic6—22no—
759C2×Dic6—22no—
760C2×Dic6—22no—
761C2×Dic6—22no—
762C2×Dic6—416no—
763C2×Dic6—41no—
764C2×Dic6—41no—
765C2×Dic6C2×D414yes—
766C3×C4⋊C4—22no—
767C3×C4⋊C4—22no—
768C3×C4⋊C4—22no—
769C3×C4⋊C4—22no—
770C3×C4⋊C4—22no—
771C3×C4⋊C4—22no—
772C3×C4⋊C4—22no—
773C3×C4⋊C4—22no—
774C3×C4⋊C4—22no—
775C3×C4⋊C4—41no—
776C3×C4⋊C4—41no—
777C3×C4⋊C4C2×D414yes—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—22no—
780C3×C22⋊C4—22no—
781C3×C22⋊C4—22no—
782C3×C22⋊C4—22no—
783C3×C22⋊C4—41no—
784C3×C22⋊C4—41no—
785C3×C22⋊C4C2×D414yes—
786C3×C42—22no—
787#217—22no—
788#217—22no—
789#217—22no—
790#217—41no—
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—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4C2×D414yes—
827(C2×D3)⋊C4C2×D414yes—
828(C2×D3)⋊C4C2×D414yes—
829C4⋊Dic3—22no—
830C4⋊Dic3—22no—
831C4⋊Dic3—22no—
832C4⋊Dic3—41no—
833C4⋊Dic3—41no—
834Dic3⋊C4—22no—
835Dic3⋊C4—22no—
836Dic3⋊C4—22no—
837Dic3⋊C4—22no—
838Dic3⋊C4—22no—
839Dic3⋊C4—22no—
840Dic3⋊C4—22no—
841Dic3⋊C4—22no—
842Dic3⋊C4—22no—
843Dic3⋊C4—22no—
844Dic3⋊C4—22no—
845Dic3⋊C4—22no—
846Dic3⋊C4—22no—
847Dic3⋊C4—41no—
848Dic3⋊C4—41no—
849Dic3⋊C4—41no—
850Dic3⋊C4—41no—
851Dic3⋊C4C2×D414yes—
852Dic3⋊C4C2×D414yes—
853Dic3⋊C4C2×D414yes—
854C4×Dic3—22no—
855C4×Dic3—22no—
856C4×Dic3—41no—
857C4×Dic3—41no—
858C4×Dic3C2×D414yes—
859C25—31no—
860C2×#41—64no—
861C2×#41—64no—
862C2×#41—64no—
863C2×#41—64no—
864C2×#41—122no—
865C2×#41—122no—
866C22×Q8—31no—
867C22×Q8—31no—
868C22×Q8—31no—
869C22×Q8—31no—
870C22×Q8—64no—
871C22×Q8—64no—
872C22×Q8—122no—
873C22×Q8C22×D311yescharacteristic
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—31no—
890C22×D4—31no—
891C22×D4C22×D311yescharacteristic
892C23×C4—31no—
893C23×C4—31no—
894C23×C4—31no—
895C23×C4—31no—
896C23×C4—31no—
897C23×C4—31no—
898C23×C4—31no—
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—31no—
904C23×C4—64no—
905C23×C4—64no—
906C23×C4—122no—
907C23×C4C22×D311yescharacteristic
908C23×C4C22×D311yescharacteristic
909C23×C4C22×D311yescharacteristic
910C23×C4C22×D311yescharacteristic
911#124—64no—
912#124—64no—
913#124—64no—
914#123—64no—
915#123—64no—
916C22⋊Q8—24no—
917C22⋊Q8—24no—
918C22⋊Q8—38no—
919C22⋊Q8—64no—
920C22⋊Q8—64no—
921C22⋊Q8—64no—
922C22⋊Q8—64no—
923C22⋊Q8—64no—
924C22⋊Q8—64no—
925C22⋊Q8—64no—
926C22⋊Q8—64no—
927C22⋊Q8—64no—
928C22⋊Q8—64no—
929C22⋊Q8—64no—
930C22⋊Q8—64no—
931C22⋊Q8—64no—
932C22⋊Q8—122no—
933#121—64no—
934#121—64no—
935#121—64no—
936#121—64no—
937#121—64no—
938#121—64no—
939#121—64no—
940#121—64no—
941#121—64no—
942#121—64no—
943#121—64no—
944#121—64no—
945#121—64no—
946#121—122no—
947#121—122no—
948#121—122no—
949#120—64no—
950#120—64no—
951#120—122no—
952#120—122no—
953C4×Q8—64no—
954C4×D4—24no—
955C4×D4—38no—
956C4×D4—64no—
957C4×D4—64no—
958C4×D4—64no—
959C4×D4—64no—
960C4×D4—122no—
961C4×D4—122no—
962#117—64no—
963C2×C4⋊C4—24no—
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—31no—
975C2×C4⋊C4—31no—
976C2×C4⋊C4—31no—
977C2×C4⋊C4—31no—
978C2×C4⋊C4—31no—
979C2×C4⋊C4—31no—
980C2×C4⋊C4—31no—
981C2×C4⋊C4—31no—
982C2×C4⋊C4—31no—
983C2×C4⋊C4—31no—
984C2×C4⋊C4—31no—
985C2×C4⋊C4—31no—
986C2×C4⋊C4—31no—
987C2×C4⋊C4—31no—
988C2×C4⋊C4—31no—
989C2×C4⋊C4—64no—
990C2×C4⋊C4—64no—
991C2×C4⋊C4—64no—
992C2×C4⋊C4C22×D311yescharacteristic
993C2×C4⋊C4C22×D311yescharacteristic
994C2×C4⋊C4C22×D311yescharacteristic
995C2×C4⋊C4C22×D311yescharacteristic
996C2×C4⋊C4C22×D311yescharacteristic
997C2×C4⋊C4C22×D311yescharacteristic
998C2×C4⋊C4C22×D311yescharacteristic
999C2×C4⋊C4C22×D311yescharacteristic
1000C2×C4⋊C4C22×D311yescharacteristic
1001C2×C4⋊C4C22×D311yescharacteristic
1002C2×C4⋊C4C22×D311yescharacteristic
1003C2×C4⋊C4C22×D311yescharacteristic
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⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—31no—
1021C2×C22⋊C4—31no—
1022C2×C22⋊C4—31no—
1023C2×C22⋊C4—31no—
1024C2×C22⋊C4—31no—
1025C2×C22⋊C4—31no—
1026C2×C22⋊C4—31no—
1027C2×C22⋊C4—31no—
1028C2×C22⋊C4—31no—
1029C2×C22⋊C4—31no—
1030C2×C22⋊C4—31no—
1031C2×C22⋊C4—31no—
1032C2×C22⋊C4—31no—
1033C2×C22⋊C4—31no—
1034C2×C22⋊C4—31no—
1035C2×C22⋊C4—31no—
1036C2×C22⋊C4—31no—
1037C2×C22⋊C4—31no—
1038C2×C22⋊C4—31no—
1039C2×C22⋊C4—31no—
1040C2×C22⋊C4—31no—
1041C2×C22⋊C4—31no—
1042C2×C22⋊C4—31no—
1043C2×C22⋊C4—31no—
1044C2×C22⋊C4—31no—
1045C2×C22⋊C4—31no—
1046C2×C22⋊C4—64no—
1047C2×C22⋊C4—64no—
1048C2×C22⋊C4C22×D311yescharacteristic
1049C2×C22⋊C4C22×D311yescharacteristic
1050C2×C22⋊C4C22×D311yescharacteristic
1051C2×C22⋊C4C22×D311yescharacteristic
1052C2×C22⋊C4C22×D311yescharacteristic
1053C2×C22⋊C4C22×D311yescharacteristic
1054C2×C22⋊C4C22×D311yescharacteristic
1055C2×C22⋊C4C22×D311yescharacteristic
1056C2×C42—31no—
1057C2×C42—31no—
1058C2×C42—31no—
1059C2×C42—31no—
1060C2×C42—31no—
1061C2×C42C22×D311yescharacteristic
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95—31no—
1069#95—31no—
1070#95—31no—
1071#95—31no—
1072#95—31no—
1073#95—31no—
1074#95—31no—
1075#95—31no—
1076#95C22×D311yescharacteristic
1077#95C22×D311yescharacteristic
1078#95C22×D311yescharacteristic
1079#95C22×D311yescharacteristic
1080#95C22×D311yescharacteristic
1081#95C22×D311yescharacteristic
1082#95C22×D311yescharacteristic
1083#95C22×D311yescharacteristic
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3C22×D412yes—
1096C23×C3H(5,𝔽2)12yes—
1097C23×C32−1+412yes—
1098C23×C3C2511yescharacteristic
1099C22×D3—28no—
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×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—44no—
1133C22×D3—44no—
1134C22×D3—44no—
1135C22×D3—44no—
1136C22×D3—44no—
1137C22×D3—44no—
1138C22×D3C22×D412yes—
1139C22×D3C22×D412yes—
1140C22×D32−1+412yes—
1141C3×Q8—44no—
1142C3×D4—44no—
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—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—44no—
1178C2×C3×C4—44no—
1179C2×C3×C4—44no—
1180C2×C3×C4—44no—
1181C2×C3×C4C22×D412yes—
1182C2×C3×C4C22×D412yes—
1183C2×C3×C4C22×D412yes—
1184C2×C3×C4C22×D412yes—
1185C2×C3×C4C22×D412yes—
1186#67—28no—
1187#67—44no—
1188#67—44no—
1189#67—44no—
1190#67—44no—
1191#67—82no—
1192#67—82no—
1193#67—82no—
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—28no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—44no—
1222C2×Dic3—44no—
1223C2×Dic3C22×D412yes—
1224C2×Dic3C22×D412yes—
1225C2×Dic3C22×D412yes—
1226C2×Dic3C22×D412yes—
1227C2×Dic3C22×D412yes—
1228C2×Dic3C22×D412yes—
1229C2×Dic3H(5,𝔽2)12yes—
1230D12—44no—
1231D12—44no—
1232D12—44no—
1233D12—44no—
1234D12—44no—
1235D12—44no—
1236D12—82no—
1237D12—82no—
1238D12—82no—
1239C4×D3—28no—
1240C4×D3—28no—
1241C4×D3—44no—
1242C4×D3—44no—
1243C4×D3—44no—
1244C4×D3—44no—
1245C4×D3—44no—
1246C4×D3—82no—
1247C4×D3—82no—
1248Dic6—28no—
1249Dic6—44no—
1250Dic6—44no—
1251Dic6—44no—
1252C24—31no—
1253C24—31no—
1254C24—31no—
1255C24—31no—
1256C24—31no—
1257C24—62no—
1258C24—62no—
1259C24—62no—
1260C24—62no—
1261C24—62no—
1262C24—121no—
1263C24—121no—
1264C24C23×D311yescharacteristic
1265C24C23×D311yescharacteristic
1266#41—1216no—
1267#41—1216no—
1268C2×Q8—22no—
1269C2×Q8—22no—
1270C2×Q8—34no—
1271C2×Q8—41no—
1272C2×Q8—62no—
1273C2×Q8—62no—
1274C2×Q8—62no—
1275C2×Q8—62no—
1276C2×Q8—62no—
1277C2×Q8—62no—
1278C2×Q8—62no—
1279C2×Q8—62no—
1280C2×Q8—62no—
1281C2×Q8—121no—
1282C2×Q8—121no—
1283C2×Q8—1216no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—34no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—62no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—121no—
1320C2×D4—121no—
1321C2×D4—121no—
1322C2×D4—121no—
1323C2×D4—121no—
1324C2×D4—121no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—31no—
1347C22×C4—34no—
1348C22×C4—31no—
1349C22×C4—31no—
1350C22×C4—31no—
1351C22×C4—31no—
1352C22×C4—34no—
1353C22×C4—34no—
1354C22×C4—31no—
1355C22×C4—31no—
1356C22×C4—31no—
1357C22×C4—31no—
1358C22×C4—31no—
1359C22×C4—31no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—62no—
1365C22×C4—62no—
1366C22×C4—62no—
1367C22×C4—62no—
1368C22×C4—62no—
1369C22×C4—62no—
1370C22×C4—62no—
1371C22×C4—62no—
1372C22×C4—62no—
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—121no—
1389C22×C4—121no—
1390C22×C4—121no—
1391C22×C4—121no—
1392C22×C4—121no—
1393C22×C4—121no—
1394C22×C4—121no—
1395C22×C4—1216no—
1396C22×C4—121no—
1397C22×C4—121no—
1398C22×C4C23×D311yescharacteristic
1399C22×C4C23×D311yescharacteristic
1400C22×C4C23×D311yescharacteristic
1401C22×C4C23×D311yescharacteristic
1402C22×C4C23×D311yescharacteristic
1403C22×C4C23×D311yescharacteristic
1404C22×C4C23×D311yescharacteristic
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—34no—
1421C4⋊C4—34no—
1422C4⋊C4—34no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—62no—
1426C4⋊C4—62no—
1427C4⋊C4—62no—
1428C4⋊C4—62no—
1429C4⋊C4—62no—
1430C4⋊C4—62no—
1431C4⋊C4—62no—
1432C4⋊C4—62no—
1433C4⋊C4—62no—
1434C4⋊C4—62no—
1435C4⋊C4—62no—
1436C4⋊C4—62no—
1437C4⋊C4—62no—
1438C4⋊C4—62no—
1439C4⋊C4—62no—
1440C4⋊C4—62no—
1441C4⋊C4—121no—
1442C4⋊C4—121no—
1443C4⋊C4—121no—
1444C4⋊C4—121no—
1445C4⋊C4—121no—
1446C4⋊C4—121no—
1447C4⋊C4D3×D414yes—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—34no—
1454C22⋊C4—34no—
1455C22⋊C4—34no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—62no—
1467C22⋊C4—62no—
1468C22⋊C4—62no—
1469C22⋊C4—62no—
1470C22⋊C4—62no—
1471C22⋊C4—62no—
1472C22⋊C4—62no—
1473C22⋊C4—62no—
1474C22⋊C4—62no—
1475C22⋊C4—62no—
1476C22⋊C4—62no—
1477C22⋊C4—62no—
1478C22⋊C4—62no—
1479C22⋊C4—62no—
1480C22⋊C4—62no—
1481C22⋊C4—62no—
1482C22⋊C4—62no—
1483C22⋊C4—121no—
1484C22⋊C4—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
1489C22⋊C4—121no—
1490C22⋊C4—121no—
1491C22⋊C4—121no—
1492C22⋊C4—121no—
1493C22⋊C4—121no—
1494C22⋊C4—121no—
1495C22⋊C4—121no—
1496C22⋊C4—121no—
1497C22⋊C4D3×D414yes—
1498C42—22no—
1499C42—34no—
1500C42—62no—
1501C42—62no—
1502C42—121no—
1503C42—121no—
1504C22×C3—22no—
1505C22×C3—22no—
1506C22×C3—22no—
1507C22×C3—22no—
1508C22×C3—22no—
1509C22×C3—22no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3#53714yescomplemented
1518C22×C3C23×D411yescharacteristic
1519C22×C3C23×D411yescharacteristic
1520C22×C3C2×H(5,𝔽2)11yescharacteristic
1521C22×C3C2×H(5,𝔽2)11yescharacteristic
1522C22×C3C2×2−1+411yescharacteristic
1523C22×C3C2×2−1+411yescharacteristic
1524C22×C3#58511yescharacteristic
1525C2×D3—22no—
1526C2×D3—22no—
1527C2×D3—22no—
1528C2×D3—22no—
1529C2×D3—22no—
1530C2×D3—22no—
1531C2×D3—22no—
1532C2×D3—22no—
1533C2×D3—22no—
1534C2×D3—416no—
1535C2×D3—41no—
1536C2×D3—41no—
1537C2×D3—41no—
1538C2×D3—41no—
1539C2×D3—41no—
1540C2×D3—41no—
1541C2×D3—41no—
1542C2×D3—41no—
1543C2×D3—41no—
1544C2×D3—41no—
1545C2×D3—41no—
1546C2×D3—41no—
1547C2×D3—41no—
1548C2×D3—41no—
1549C2×D3—41no—
1550C2×D3—41no—
1551C2×D3—41no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C3×C4—22no—
1562C3×C4—22no—
1563C3×C4—22no—
1564C3×C4—22no—
1565C3×C4—22no—
1566C3×C4—41no—
1567C3×C4—41no—
1568C3×C4—41no—
1569C3×C4—41no—
1570C3×C4—41no—
1571C3×C4—41no—
1572C3×C4—41no—
1573C3×C4—41no—
1574Dic3—22no—
1575Dic3—22no—
1576Dic3—22no—
1577Dic3—22no—
1578Dic3—41no—
1579Dic3—41no—
1580Dic3—41no—
1581Dic3—41no—
1582Dic3—41no—
1583Dic3—41no—
1584Dic3D4214yes—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—32no—
1597C23—32no—
1598C23—32no—
1599C23—68no—
1600C23—61no—
1601C23—61no—
1602C23—61no—
1603C23—61no—
1604C23—61no—
1605C23—61no—
1606C23—61no—
1607C23—61no—
1608C23—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—61no—
1619C23—61no—
1620C23—61no—
1621C23—61no—
1622C23—61no—
1623C23—61no—
1624C23—61no—
1625C23—61no—
1626C23—61no—
1627C23—61no—
1628C23—61no—
1629C23—61no—
1630C23—61no—
1631C23—61no—
1632C23—124no—
1633C23—124no—
1634C23—124no—
1635C23—124no—
1636C23—124no—
1637C23—124no—
1638C23C2×D3×D412yes—
1639C23#100712yes—
1640C23#100912yes—
1641C23C24×D311yescharacteristic
1642Q8—44no—
1643Q8—68no—
1644Q8—124no—
1645Q8—124no—
1646Q8—124no—
1647D4—44no—
1648D4—68no—
1649D4—124no—
1650D4—124no—
1651D4—124no—
1652D4—124no—
1653D4—124no—
1654D4—124no—
1655D4—124no—
1656D4—124no—
1657D4—124no—
1658D4—124no—
1659D4—242no—
1660D4—242no—
1661D4—242no—
1662D4—242no—
1663D4—242no—
1664D4—242no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—32no—
1700C2×C4—32no—
1701C2×C4—32no—
1702C2×C4—32no—
1703C2×C4—32no—
1704C2×C4—32no—
1705C2×C4—32no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—68no—
1711C2×C4—68no—
1712C2×C4—68no—
1713C2×C4—61no—
1714C2×C4—61no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—61no—
1718C2×C4—61no—
1719C2×C4—61no—
1720C2×C4—61no—
1721C2×C4—61no—
1722C2×C4—61no—
1723C2×C4—61no—
1724C2×C4—61no—
1725C2×C4—61no—
1726C2×C4—61no—
1727C2×C4—61no—
1728C2×C4—61no—
1729C2×C4—61no—
1730C2×C4—61no—
1731C2×C4—61no—
1732C2×C4—61no—
1733C2×C4—61no—
1734C2×C4—61no—
1735C2×C4—61no—
1736C2×C4—61no—
1737C2×C4—61no—
1738C2×C4—61no—
1739C2×C4—124no—
1740C2×C4—124no—
1741C2×C4—124no—
1742C2×C4—124no—
1743C2×C4—124no—
1744C2×C4—124no—
1745C2×C4—124no—
1746C2×C4—242no—
1747C2×C4—242no—
1748C2×C4C2×D3×D412yes—
1749C2×C4C2×D3×D412yes—
1750C2×C4C2×D3×D412yes—
1751C2×C4C2×D3×D412yes—
1752C2×C4C2×D3×D412yes—
1753C2×C3—24no—
1754C2×C3—81no—
1755C2×C3C2×#53711yescharacteristic
1756C2×C3C2×D4211yescharacteristic
1757C2×C3#348611yescharacteristic
1758C2×C3#348811yescharacteristic
1759C2×C3#348911yescharacteristic
1760C2×C3#353611yescharacteristic
1761C2×C3#354111yescharacteristic
1762D3—42no—
1763D3—42no—
1764D3—42no—
1765D3—81no—
1766D3—81no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—62no—
1781C22—62no—
1782C22—62no—
1783C22—62no—
1784C22—62no—
1785C22—62no—
1786C22—62no—
1787C22—62no—
1788C22—62no—
1789C22—1216no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22—121no—
1799C22—121no—
1800C22—121no—
1801C22—121no—
1802C22—121no—
1803C22—121no—
1804C22—121no—
1805C22—121no—
1806C22—121no—
1807C22—121no—
1808C22—121no—
1809C22—121no—
1810C22—121no—
1811C22—121no—
1812C22—121no—
1813C22—121no—
1814C22—121no—
1815C22—121no—
1816C22#562914yescomplemented
1817C22C22×D3×D411yescharacteristic
1818C22C22×D3×D411yescharacteristic
1819C22C2×#100711yescharacteristic
1820C22C2×#100911yescharacteristic
1821C22#596411yescharacteristic
1822C22D3×H(5,𝔽2)11yescharacteristic
1823C22D3×2−1+411yescharacteristic
1824C4—22no—
1825C4—22no—
1826C4—22no—
1827C4—22no—
1828C4—22no—
1829C4—34no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—62no—
1839C4—62no—
1840C4—62no—
1841C4—62no—
1842C4—121no—
1843C4—121no—
1844C4—121no—
1845C4—121no—
1846C4—121no—
1847C4—121no—
1848C3#3764911yescharacteristic, complemented, Sylow
1849C2—24no—
1850C2—81no—
1851C2—122no—
1852C2—122no—
1853C2—122no—
1854C2—241no—
1855C2—241no—
1856C2C2×#562911yescharacteristic
1857C2#8604111yescharacteristic
1858C2#8643411yescharacteristic
1859C2D3×D4211yescharacteristic
1860C2#8667711yescharacteristic
1861C2#8675911yescharacteristic
1862C2#8693811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2449C2
hypercenter#2449D3
hypocenterC3#37649
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#5629C2semidirect
2. C2×#5627C2semidirect
3. C2×#5552C2semidirect
4. C22×#896C2semidirect
5. C3×#2449C2semidirect
6. #82793C2semidirect
7. #82764C2semidirect
8. #82407C2semidirect
9. #82193C2semidirect
10. #78114C2semidirect
11. #78036C2semidirect
12. #77970C2semidirect
13. #77742C2semidirect
14. #77429C2semidirect
15. #77331C2semidirect
16. #77263C2semidirect
17. #77201C2semidirect
18. #76257C2semidirect
19. #76059C2semidirect
20. #75389C2semidirect
21. #74947C2semidirect
22. #74935C2semidirect
23. #74893C2semidirect
24. #74692C2semidirect
25. #74692C2semidirect
26. #74632C2semidirect
27. #74605C2semidirect
28. #74605C2semidirect
29. #74405C2semidirect
30. #74404C2semidirect
31. #74393C2semidirect
34. C22×#235C22semidirect
38. C2×C3×C22⋊Q8C22semidirect
42. C2×#946C22semidirect
54. C2×#924C22semidirect
69. C2×#896C22semidirect
70. C2×#896C22semidirect
71. C2×#896C22semidirect
72. C2×#896C22semidirect
76. C2×#895C22semidirect
82. C2×D3×C4⋊C4C22semidirect
83. C2×#885C22semidirect
84. C2×#885C22semidirect
88. C2×#884C22semidirect
89. C2×#884C22semidirect
97. C2×#875C22semidirect
98. C2×C4×Dic6C22semidirect
99. C3×#399C22semidirect
100. C3×#398C22semidirect
101. C3×#396C22semidirect
102. C3×#395C22semidirect
103. C3×#389C22semidirect
104. C3×#387C22semidirect
109. C3×#385C22semidirect
110. #5230C22semidirect
117. #4994C22semidirect
118. #4994C22semidirect
119. #4994C22semidirect
120. #4993C22semidirect
124. #4991C22semidirect
125. #4991C22semidirect
126. #4989C22semidirect
127. #4989C22semidirect
130. #4988C22semidirect
131. #4987C22semidirect
132. #4984C22semidirect
133. #4982C22semidirect
134. #4979C22semidirect
135. #4979C22semidirect
136. #4978C22semidirect
137. #4976C22semidirect
138. #4975C22semidirect
139. #4972C22semidirect
144. #4959C22semidirect
145. #4959C22semidirect
149. #4957C22semidirect
150. #4957C22semidirect
154. #4948C22semidirect
155. #4948C22semidirect
161. #4676C22semidirect
162. #4676C22semidirect
163. #4673C22semidirect
164. #4673C22semidirect
168. #4672C22semidirect
169. #4672C22semidirect
175. #4668C22semidirect
178. #4667C22semidirect
179. #4667C22semidirect
180. #4667C22semidirect
186. #4649C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
190. #4646C22semidirect
191. #4646C22semidirect
210. #2449D3semidirect
399. #896D4semidirect
423. #67⋊C4D4semidirect
477. C2×C22⋊Q8C2×D3semidirect
515. #399C2×D3semidirect
517. #398C2×D3semidirect
529. #396C2×D3semidirect
533. #395C2×D3semidirect
569. #389C2×D3semidirect
575. #387C2×D3semidirect
597. #385C2×D3semidirect
1517. C22×C3#537semidirect
1816. C22#5629semidirect
1848. C3#37649semidirect

Maximal subgroups

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

subgroupindex
C2×#56292
C2×#56272
C2×#55522
C22×#8962
C3×#24492
#827932
#827642
#824072
#821932
#781142
#780362
#779702
#777422
#774292
#773312
#772632
#772012
#762572
#760592
#753892
#749472
#749352
#748932
#746922
#746322
#746052
#744052
#744042
#743932
#376493