Finite Group Databasebeta

← #11633368

Subgroups — #11633368

Order 768.

3584 conjugacy classes of subgroups.

The subgroup lattice has 1958 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5631C211yesmaximal, characteristic, complemented
2C2×#5630C211yesmaximal, characteristic, complemented
3C2×#5490C211yesmaximal, characteristic, complemented
4C22×#884C211yesmaximal, characteristic, complemented
5C3×#2437C211yesmaximal, characteristic, complemented
6#82826C211yesmaximal, characteristic, complemented
7#82763C211yesmaximal, characteristic, complemented
8#82128C211yesmaximal, characteristic, complemented
9C22⋊C4×#67C211yesmaximal, characteristic, complemented
10#78113C211yesmaximal, characteristic, complemented
11#78030C211yesmaximal, characteristic, complemented
12#77426C211yesmaximal, characteristic, complemented
13#77417C211yesmaximal, characteristic, complemented
14#77284C211yesmaximal, characteristic, complemented
15#77284C211yesmaximal, characteristic, complemented
16#76864C211yesmaximal, characteristic, complemented
17#76792C211yesmaximal, characteristic, complemented
18#74628C211yesmaximal, characteristic, complemented
19#74606C211yesmaximal, characteristic, complemented
20#74599C211yesmaximal, characteristic, complemented
21#74413C211yesmaximal, characteristic, complemented
22#74409C211yesmaximal, characteristic, complemented
23#74397C211yesmaximal, characteristic, complemented
24#74393C211yesmaximal, characteristic, complemented
25#74379C211yesmaximal, characteristic, complemented
26#74022C211yesmaximal, characteristic, complemented
27#74021C211yesmaximal, characteristic, complemented
28D3×#380C211yesmaximal, characteristic, complemented
29#73935C211yesmaximal, characteristic, complemented
30#73853C211yesmaximal, characteristic, complemented
31#73824C211yesmaximal, characteristic, complemented
32#59015—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C22×#239C2211yescharacteristic, complemented
36C22×#235C2211yescharacteristic, complemented
37C23×D12C2211yescharacteristic
38C23×C4×D3C2211yescharacteristic
39C2×C3×C22⋊Q8C2211yescharacteristic
40C2×C3×C22⋊Q8C2211yescharacteristic, complemented
41C22×C3×C22⋊C4C2211yescharacteristic
42C22×C3×C22⋊C4C2211yescharacteristic
43C2×#953C2211yescharacteristic
44C2×#947C2211yescharacteristic, complemented
45C2×#944C2211yescharacteristic, complemented
46C2×#930C2211yescharacteristic, complemented
47C2×#929C2211yescharacteristic, complemented
48C2×C4×#67C2211yescharacteristic
49C2×C4×#67C2211yescharacteristic, complemented
50C2×C4×#67C2211yescharacteristic, complemented
51C2×C4×#67C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic
53C22×Dic3⋊C4C2211yescharacteristic
54#5631—28no—
55#5630—28no—
56C2×#897C2211yescharacteristic, complemented
57C2×#895C2211yescharacteristic, complemented
58C2×#895C2211yescharacteristic, complemented
59C2×#895C2211yescharacteristic, complemented
60C2×#894C2211yescharacteristic, complemented
61C2×#894C2211yescharacteristic, complemented
62C2×#894C2211yescharacteristic, complemented
63C2×#894C2211yescharacteristic, complemented
64C2×#894C2211yescharacteristic, complemented
65C2×#893C2211yescharacteristic, complemented
66C2×#893C2211yescharacteristic, complemented
67C2×#893C2211yescharacteristic, complemented
68C2×D3×C4⋊C4C2211yescharacteristic, complemented
69C2×D3×C4⋊C4C2211yescharacteristic, complemented
70C2×D3×C4⋊C4C2211yescharacteristic, complemented
71C2×#885C2211yescharacteristic, complemented
72#5490—28no—
73C2×#884—28no—
74C2×#884C2211yescharacteristic
75C2×#884C2211yescharacteristic
76C2×#884C2211yescharacteristic
77C2×#884C2211yescharacteristic
78C2×#884C2211yescharacteristic
79C2×#884C2211yescharacteristic
80C2×#884C2211yescharacteristic
81C2×#884C2211yescharacteristic
82C2×#884C2211yescharacteristic, complemented
83C2×#884C2211yescharacteristic, complemented
84C2×#884C2211yescharacteristic, complemented
85C2×#884C2211yescharacteristic, complemented
86C2×#883C2211yescharacteristic, complemented
87C2×#883C2211yescharacteristic, complemented
88C2×#883C2211yescharacteristic, complemented
89C2×#883C2211yescharacteristic, complemented
90C2×#882C2211yescharacteristic
91C2×#882C2211yescharacteristic
92C2×#67⋊C4C2211yescharacteristic
93C2×#67⋊C4C2211yescharacteristic
94C2×D3×C22⋊C4C2211yescharacteristic
95C2×D3×C22⋊C4C2211yescharacteristic
96C2×D3×C22⋊C4C2211yescharacteristic
97C2×#878C2211yescharacteristic
98C3×#399C2211yescharacteristic, complemented
99C3×#396C2211yescharacteristic, complemented
100C3×#396C2211yescharacteristic, complemented
101C3×#393C2211yescharacteristic, complemented
102C3×#385C2211yescharacteristic
103C3×#385C2211yescharacteristic
104C3×#385C2211yescharacteristic, complemented
105C3×#385C2211yescharacteristic, complemented
106C3×#380C2211yescharacteristic
107C3×#380C2211yescharacteristic, complemented
108C3×#379C2211yescharacteristic
109#5247C2211yescharacteristic
110#5230C2211yescharacteristic, complemented
111#5213C2211yescharacteristic
112#5213C2211yescharacteristic, complemented
113#5213C2211yescharacteristic, complemented
114#5212C2211yescharacteristic
115#5210C2211yescharacteristic
116#4994C2211yescharacteristic, complemented
117#4994C2211yescharacteristic, complemented
118#4993C2211yescharacteristic, complemented
119#4991C2211yescharacteristic, complemented
120#4991C2211yescharacteristic, complemented
121#4991C2211yescharacteristic, complemented
122#4990C2211yescharacteristic, complemented
123#4989C2211yescharacteristic, complemented
124#4989C2211yescharacteristic, complemented
125#4989C2211yescharacteristic, complemented
126#4987C2211yescharacteristic, complemented
127#4987C2211yescharacteristic, complemented
128#4987C2211yescharacteristic, complemented
129#4983C2211yescharacteristic, complemented
130#4981C2211yescharacteristic, complemented
131#4979C2211yescharacteristic, complemented
132#4976C2211yescharacteristic, complemented
133#4976C2211yescharacteristic, complemented
134#4976C2211yescharacteristic, complemented
135#4975C2211yescharacteristic, complemented
136#4975C2211yescharacteristic, complemented
137#4961C2211yescharacteristic, complemented
138#4961C2211yescharacteristic, complemented
139#4961C2211yescharacteristic, complemented
140#4960C2211yescharacteristic, complemented
141#4960C2211yescharacteristic, complemented
142#4959C2211yescharacteristic, complemented
143#4959C2211yescharacteristic, complemented
144#4959C2211yescharacteristic, complemented
145#4959C2211yescharacteristic, complemented
146#4959C2211yescharacteristic, complemented
147#4957C2211yescharacteristic, complemented
148#4957C2211yescharacteristic, complemented
149#4957C2211yescharacteristic, complemented
150#4957C2211yescharacteristic, complemented
151#4956C2211yescharacteristic, complemented
152#4956C2211yescharacteristic, complemented
153#4956C2211yescharacteristic, complemented
154#4956C2211yescharacteristic, complemented
155#4956C2211yescharacteristic, complemented
156#4955C2211yescharacteristic
157#4955C2211yescharacteristic
158#4955C2211yescharacteristic
159#4952C2211yescharacteristic, complemented
160#4951C2211yescharacteristic, complemented
161#4950C2211yescharacteristic
162#4949C2211yescharacteristic, complemented
163#4946C2211yescharacteristic
164#4945C2211yescharacteristic, complemented
165#4942C2211yescharacteristic
166#4942C2211yescharacteristic
167Dic3×C22⋊C4C2211yescharacteristic
168#4677C2211yescharacteristic, complemented
169#4675C2211yescharacteristic, complemented
170#4673C2211yescharacteristic, complemented
171#4672C2211yescharacteristic, complemented
172#4672C2211yescharacteristic, complemented
173#4672C2211yescharacteristic, complemented
174#4669C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4668C2211yescharacteristic, complemented
178#4667C2211yescharacteristic, complemented
179#4667C2211yescharacteristic, complemented
180#4667C2211yescharacteristic, complemented
181#4666C2211yescharacteristic, complemented
182#4666C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4665C2211yescharacteristic, complemented
187#4665C2211yescharacteristic, complemented
188D3×#95C2211yescharacteristic, complemented
189D3×#95C2211yescharacteristic, complemented
190#4649C2211yescharacteristic, complemented
191#4647C2211yescharacteristic, complemented
192C2×#547—31no—
193C2×#546—31no—
194C2×#546—31no—
195C22×#121—31no—
196#2672—31no—
197#2672—31no—
198#2671—31no—
199#2671—31no—
200#2537—31no—
201#2501—31no—
202#2491—31no—
203#2440—31no—
204#2437—31no—
205#2437D311yescharacteristic, complemented
206#2430—31no—
207#2430—31no—
208#2425—31no—
209#2425—31no—
210#2422—31no—
211#2418—31no—
212#2418—31no—
213#2416—31no—
214#2416—31no—
215#2408—31no—
216#2405—31no—
217#2405—31no—
218#2361—31no—
219D4×C4⋊C4—31no—
220D4×C22⋊C4—31no—
221C4×#120—31no—
222C2×#380—31no—
223C25×C3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C24×D3C2311yescharacteristic
226C22×C3×Q8C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67—24no—
232C22×#67—24no—
233C22×#67—24no—
234C22×#67—24no—
235C22×#67—42no—
236C22×#67—42no—
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C2×#239—24no—
251C2×#239—24no—
252C2×#239—42no—
253C2×#235—24no—
254C2×#235—24no—
255C2×#235—42no—
256C22×D12—24no—
257C22×D12—24no—
258C22×D12—42no—
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×C4×D3—24no—
268C22×C4×D3—24no—
269C22×C4×D3—42no—
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C22×C4×D3C2311yescharacteristic
278C22×C4×D3C2311yescharacteristic
279C22×C4×D3C2311yescharacteristic
280C22×C4×D3C2311yescharacteristic
281C22×C4×D3C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×Dic6C2311yescharacteristic
284C3×C22⋊Q8—24no—
285C3×C22⋊Q8—24no—
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C4⋊C4C2311yescharacteristic
291C2×C3×C4⋊C4C2311yescharacteristic
292C2×C3×C4⋊C4C2311yescharacteristic
293C2×C3×C4⋊C4C2311yescharacteristic
294C2×C3×C4⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4—24no—
296C2×C3×C22⋊C4—24no—
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C22⋊C4C2311yescharacteristic
303C2×C3×C22⋊C4C2311yescharacteristic
304C2×C3×C22⋊C4C2311yescharacteristic
305C2×C3×C22⋊C4C2311yescharacteristic
306C2×C3×C22⋊C4C2311yescharacteristic
307C2×C3×C22⋊C4C2311yescharacteristic
308C2×C3×C22⋊C4C2311yescharacteristic
309C2×C3×C22⋊C4C2311yescharacteristic
310C2×C3×C22⋊C4C2311yescharacteristic
311#953—24no—
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321#947—24no—
322#944—24no—
323#930—24no—
324#929—24no—
325C4×#67—24no—
326C4×#67—24no—
327C4×#67—24no—
328C4×#67—42no—
329C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×Dic3⋊C4—24no—
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×Dic3⋊C4C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389#897—24no—
390#895—24no—
391#895—24no—
392#895—24no—
393#894—24no—
394#894—24no—
395#894—24no—
396#894—24no—
397#894—42no—
398#893—24no—
399#893—24no—
400#893—42no—
401D3×C4⋊C4—24no—
402D3×C4⋊C4—24no—
403D3×C4⋊C4—42no—
404#885—24no—
405#884—24no—
406#884—24no—
407#884—24no—
408#884—24no—
409#884—24no—
410#884—24no—
411#884—24no—
412#884—24no—
413#884—24no—
414#884—24no—
415#884—42no—
416#884D418yescomplemented
417#883—24no—
418#883—24no—
419#883—24no—
420#883—42no—
421#882—24no—
422#882D418yescomplemented
423#67⋊C4—24no—
424#67⋊C4—24no—
425D3×C22⋊C4—24no—
426D3×C22⋊C4—24no—
427D3×C22⋊C4—24no—
428#878—24no—
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
448C3⋊#95C2311yescharacteristic
449C3⋊#95C2311yescharacteristic
450C3⋊#95C2311yescharacteristic
451C22×#41—31no—
452C22×#41—31no—
453C23×D4—31no—
454C23×D4—31no—
455C23×D4—31no—
456C24×C4—31no—
457#547—68no—
458#546—68no—
459#546—68no—
460C2×C4⋊Q8—31no—
461C2×#124—31no—
462C2×#124—31no—
463C2×#123—31no—
464C2×#123—31no—
465C2×#123—31no—
466C2×#123—31no—
467C2×#123—31no—
468C2×#123—31no—
469C2×#123—31no—
470C2×#123—31no—
471C2×#123—31no—
472C2×#123—31no—
473C2×C22⋊Q8—31no—
474C2×C22⋊Q8—31no—
475C2×C22⋊Q8C2×D311yescharacteristic
476C2×C22⋊Q8C2×D311yescharacteristic, complemented
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×#121—31no—
488C2×#121—31no—
489C2×#121—31no—
490C2×#121—31no—
491C2×#121—31no—
492C2×#121—31no—
493C2×#121—68no—
494C2×#120—31no—
495C2×#120—31no—
496C2×#120—31no—
497C2×C4×D4—31no—
498C2×C4×D4—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—
506C22×C4⋊C4—31no—
507C22×C4⋊C4—31no—
508C22×C4⋊C4—31no—
509C22×C4⋊C4—31no—
510C22×C22⋊C4—31no—
511C22×C22⋊C4—31no—
512C22×C22⋊C4—31no—
513C22×C22⋊C4—31no—
514C22×C22⋊C4C2×D311yescharacteristic
515C22×C22⋊C4C2×D311yescharacteristic
516#399—31no—
517#399—31no—
518#399—31no—
519#399C2×D311yescharacteristic, complemented
520#398—31no—
521#398—31no—
522#397—31no—
523#397—31no—
524#396—31no—
525#396—31no—
526#396C2×D311yescharacteristic, complemented
527#396C2×D311yescharacteristic, complemented
528#395—31no—
529#395—31no—
530#394—31no—
531#394—31no—
532#394—31no—
533#394—31no—
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#393—31no—
545#393C2×D311yescharacteristic, complemented
546#392—31no—
547#392—31no—
548#390—31no—
549#390—31no—
550#390—31no—
551#390—31no—
552#389—31no—
553#389—31no—
554#389—31no—
555#389—31no—
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#385—31no—
574#385—31no—
575#385—31no—
576#385—31no—
577#385—31no—
578#385—31no—
579#385—31no—
580#385—31no—
581#385—31no—
582#385C2×D311yescharacteristic
583#385C2×D311yescharacteristic
584#385C2×D311yescharacteristic, complemented
585#385C2×D311yescharacteristic, complemented
586#384—31no—
587#384—31no—
588#380—31no—
589#380—31no—
590#380—31no—
591#380—31no—
592#380—31no—
593#380—31no—
594#380—31no—
595#380—31no—
596#380—31no—
597#380C2×D311yescharacteristic
598#380C2×D311yescharacteristic, complemented
599#379—31no—
600#379—31no—
601#379—31no—
602#379—31no—
603#379C2×D311yescharacteristic
604C4×C4⋊C4—31no—
605C4×C22⋊C4—31no—
606C4×C22⋊C4—31no—
607C4×C22⋊C4—31no—
608C2×#95—31no—
609C2×#95—31no—
610C24×C3—22no—
611C24×C3—22no—
612C24×C3—22no—
613C24×C3—22no—
614C24×C3—41no—
615C24×C3—41no—
616C24×C3—41no—
617C24×C3C2411yescharacteristic
618C24×C3C2411yescharacteristic
619C24×C3C2411yescharacteristic
620C23×D3—22no—
621C23×D3—22no—
622C23×D3—22no—
623C23×D3—22no—
624C23×D3—22no—
625C23×D3—22no—
626C23×D3—22no—
627C23×D3—22no—
628C23×D3—41no—
629C23×D3—41no—
630C23×D3—41no—
631C23×D3—41no—
632C23×D3—41no—
633C23×D3C2×D414yes—
634C23×D3C2411yescharacteristic
635C23×D3C2411yescharacteristic
636C23×D3C2411yescharacteristic
637C23×D3C2411yescharacteristic
638C23×D3C2411yescharacteristic
639C2×C3×Q8—22no—
640C2×C3×Q8—22no—
641C2×C3×Q8—41no—
642C22×C3×C4—22no—
643C22×C3×C4—22no—
644C22×C3×C4—22no—
645C22×C3×C4—22no—
646C22×C3×C4—22no—
647C22×C3×C4—22no—
648C22×C3×C4—22no—
649C22×C3×C4—41no—
650C22×C3×C4—41no—
651C22×C3×C4—41no—
652C22×C3×C4—41no—
653C22×C3×C4—41no—
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C22×C3×C4C2411yescharacteristic
665C22×C3×C4C2411yescharacteristic
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—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—22no—
684C2×#67—22no—
685C2×#67—22no—
686C2×#67—22no—
687C2×#67—22no—
688C2×#67—22no—
689C2×#67—416no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—416no—
698C2×#67C2×D414yes—
699C2×#67C2×D414yes—
700C2×#67C2×D414yes—
701C22×Dic3—22no—
702C22×Dic3—22no—
703C22×Dic3—22no—
704C22×Dic3—22no—
705C22×Dic3—41no—
706C22×Dic3#4114yescomplemented
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718#239—416no—
719#235—416no—
720C2×D12—22no—
721C2×D12—22no—
722C2×D12—22no—
723C2×D12—22no—
724C2×D12—22no—
725C2×D12—22no—
726C2×D12—22no—
727C2×D12—22no—
728C2×D12—22no—
729C2×D12—22no—
730C2×D12—22no—
731C2×D12—22no—
732C2×D12—22no—
733C2×D12—22no—
734C2×D12—416no—
735C2×D12—41no—
736C2×D12—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×D12—41no—
742C2×D12C2×D414yes—
743C2×D12C2×D414yescomplemented
744C2×D12C2×D414yescomplemented
745C2×C4×D3—22no—
746C2×C4×D3—22no—
747C2×C4×D3—22no—
748C2×C4×D3—22no—
749C2×C4×D3—22no—
750C2×C4×D3—22no—
751C2×C4×D3—22no—
752C2×C4×D3—22no—
753C2×C4×D3—22no—
754C2×C4×D3—22no—
755C2×C4×D3—22no—
756C2×C4×D3—22no—
757C2×C4×D3—22no—
758C2×C4×D3—22no—
759C2×C4×D3—22no—
760C2×C4×D3—22no—
761C2×C4×D3—22no—
762C2×C4×D3—22no—
763C2×C4×D3—22no—
764C2×C4×D3—22no—
765C2×C4×D3—22no—
766C2×C4×D3—22no—
767C2×C4×D3—22no—
768C2×C4×D3—22no—
769C2×C4×D3—22no—
770C2×C4×D3—22no—
771C2×C4×D3—22no—
772C2×C4×D3—416no—
773C2×C4×D3—41no—
774C2×C4×D3—41no—
775C2×C4×D3—41no—
776C2×C4×D3—41no—
777C2×C4×D3—41no—
778C2×C4×D3—41no—
779C2×C4×D3—41no—
780C2×C4×D3—41no—
781C2×C4×D3—41no—
782C2×C4×D3—41no—
783C2×C4×D3—41no—
784C2×C4×D3C2×D414yes—
785C2×Dic6—22no—
786C2×Dic6—22no—
787C2×Dic6—41no—
788C3×C4⋊C4—22no—
789C3×C4⋊C4—22no—
790C3×C4⋊C4—22no—
791C3×C4⋊C4—22no—
792C3×C4⋊C4—22no—
793C3×C4⋊C4—22no—
794C3×C4⋊C4—41no—
795C3×C4⋊C4—41no—
796C3×C4⋊C4—41no—
797C3×C22⋊C4—22no—
798C3×C22⋊C4—22no—
799C3×C22⋊C4—22no—
800C3×C22⋊C4—22no—
801C3×C22⋊C4—22no—
802C3×C22⋊C4—22no—
803C3×C22⋊C4—22no—
804C3×C22⋊C4—22no—
805C3×C22⋊C4—22no—
806C3×C22⋊C4—41no—
807C3×C22⋊C4—41no—
808C3×C22⋊C4—41no—
809C3×C22⋊C4C2×D414yes—
810C3×C22⋊C4C2×D414yes—
811#217—22no—
812#217—22no—
813#217—22no—
814#217—22no—
815#217—22no—
816#217—22no—
817#217—41no—
818#217—41no—
819#217—41no—
820(C2×D3)⋊C4—22no—
821(C2×D3)⋊C4—22no—
822(C2×D3)⋊C4—22no—
823(C2×D3)⋊C4—22no—
824(C2×D3)⋊C4—22no—
825(C2×D3)⋊C4—22no—
826(C2×D3)⋊C4—22no—
827(C2×D3)⋊C4—22no—
828(C2×D3)⋊C4—22no—
829(C2×D3)⋊C4—22no—
830(C2×D3)⋊C4—22no—
831(C2×D3)⋊C4—22no—
832(C2×D3)⋊C4—22no—
833(C2×D3)⋊C4—22no—
834(C2×D3)⋊C4—22no—
835(C2×D3)⋊C4—22no—
836(C2×D3)⋊C4—22no—
837(C2×D3)⋊C4—22no—
838(C2×D3)⋊C4—22no—
839(C2×D3)⋊C4—41no—
840(C2×D3)⋊C4—41no—
841(C2×D3)⋊C4—41no—
842(C2×D3)⋊C4—41no—
843(C2×D3)⋊C4—41no—
844(C2×D3)⋊C4—41no—
845(C2×D3)⋊C4—41no—
846(C2×D3)⋊C4—41no—
847(C2×D3)⋊C4—41no—
848(C2×D3)⋊C4C2×D414yes—
849(C2×D3)⋊C4C2×D414yescomplemented
850(C2×D3)⋊C4C2×D414yescomplemented
851C4⋊Dic3—22no—
852C4⋊Dic3—22no—
853C4⋊Dic3—22no—
854C4⋊Dic3—41no—
855C4⋊Dic3—41no—
856Dic3⋊C4—22no—
857Dic3⋊C4—22no—
858Dic3⋊C4—22no—
859Dic3⋊C4—22no—
860Dic3⋊C4—22no—
861Dic3⋊C4—22no—
862Dic3⋊C4—22no—
863Dic3⋊C4—22no—
864Dic3⋊C4—22no—
865Dic3⋊C4—22no—
866Dic3⋊C4—22no—
867Dic3⋊C4—22no—
868Dic3⋊C4—22no—
869Dic3⋊C4—22no—
870Dic3⋊C4—41no—
871Dic3⋊C4—41no—
872Dic3⋊C4C2×D414yes—
873C4×Dic3—22no—
874C4×Dic3—22no—
875C4×Dic3—22no—
876C4×Dic3—22no—
877C4×Dic3—22no—
878C25—31no—
879C25—31no—
880C25C22×D311yescharacteristic
881C2×#41—64no—
882C2×#41—64no—
883C2×#41—64no—
884C2×#41—64no—
885C2×#41—122no—
886C2×#41—122no—
887C22×Q8—31no—
888C22×Q8C22×D311yescharacteristic
889C22×D4—31no—
890C22×D4—31no—
891C22×D4—31no—
892C22×D4—31no—
893C22×D4—31no—
894C22×D4—31no—
895C22×D4—31no—
896C22×D4—31no—
897C22×D4—31no—
898C22×D4—31no—
899C22×D4—31no—
900C22×D4—31no—
901C22×D4—31no—
902C22×D4—31no—
903C22×D4—31no—
904C22×D4—31no—
905C22×D4—31no—
906C22×D4—31no—
907C22×D4—31no—
908C22×D4—64no—
909C22×D4—64no—
910C22×D4—64no—
911C22×D4—64no—
912C22×D4—64no—
913C22×D4—64no—
914C22×D4—122no—
915C22×D4—122no—
916C22×D4—122no—
917C23×C4—31no—
918C23×C4—31no—
919C23×C4—31no—
920C23×C4—31no—
921C23×C4—31no—
922C23×C4—31no—
923C23×C4—31no—
924C23×C4—31no—
925C23×C4—31no—
926C23×C4—31no—
927C23×C4—31no—
928C23×C4—31no—
929C23×C4—31no—
930C23×C4—31no—
931C23×C4—31no—
932C23×C4—64no—
933C23×C4—64no—
934C23×C4—122no—
935C23×C4C22×D311yescharacteristic
936C23×C4C22×D311yescharacteristic
937C23×C4C22×D311yescharacteristic
938C23×C4C22×D311yescharacteristic
939C4⋊Q8—64no—
940#124—64no—
941#124—64no—
942#123—64no—
943#123—64no—
944#123—64no—
945#123—64no—
946#123—64no—
947#123—64no—
948#123—64no—
949#123—64no—
950#123—122no—
951#123—122no—
952C22⋊Q8—24no—
953C22⋊Q8—24no—
954C22⋊Q8—64no—
955C22⋊Q8—64no—
956#121—38no—
957#121—64no—
958#121—64no—
959#121—64no—
960#121—64no—
961#121—64no—
962#121—64no—
963#121—64no—
964#121—64no—
965#121—64no—
966#121—64no—
967#121—64no—
968#121—64no—
969#121—64no—
970#121—64no—
971#121—122no—
972#120—38no—
973#120—64no—
974#120—64no—
975C4×D4—64no—
976C4×D4—64no—
977C4×D4—64no—
978C4×D4—64no—
979C4×D4—64no—
980C4×D4—64no—
981C4×D4—64no—
982C4×D4—122no—
983C4×D4—122no—
984C2×C4⋊C4—31no—
985C2×C4⋊C4—31no—
986C2×C4⋊C4—31no—
987C2×C4⋊C4—31no—
988C2×C4⋊C4—31no—
989C2×C4⋊C4—31no—
990C2×C4⋊C4—31no—
991C2×C4⋊C4—31no—
992C2×C4⋊C4—31no—
993C2×C4⋊C4—31no—
994C2×C4⋊C4—31no—
995C2×C4⋊C4—31no—
996C2×C4⋊C4—31no—
997C2×C4⋊C4—31no—
998C2×C4⋊C4—31no—
999C2×C4⋊C4—31no—
1000C2×C4⋊C4—31no—
1001C2×C4⋊C4—31no—
1002C2×C4⋊C4—31no—
1003C2×C4⋊C4—31no—
1004C2×C4⋊C4—31no—
1005C2×C4⋊C4—31no—
1006C2×C4⋊C4—64no—
1007C2×C4⋊C4—64no—
1008C2×C4⋊C4—64no—
1009C2×C4⋊C4—122no—
1010C2×C4⋊C4C22×D311yescharacteristic
1011C2×C4⋊C4C22×D311yescharacteristic
1012C2×C4⋊C4C22×D311yescharacteristic
1013C2×C4⋊C4C22×D311yescharacteristic
1014C2×C4⋊C4C22×D311yescharacteristic
1015C2×C4⋊C4C22×D311yescharacteristic
1016C2×C4⋊C4C22×D311yescharacteristic
1017C2×C4⋊C4C22×D311yescharacteristic
1018C2×C4⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4—24no—
1020C2×C22⋊C4—24no—
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—31no—
1047C2×C22⋊C4—31no—
1048C2×C22⋊C4—31no—
1049C2×C22⋊C4—31no—
1050C2×C22⋊C4—31no—
1051C2×C22⋊C4—31no—
1052C2×C22⋊C4—31no—
1053C2×C22⋊C4—31no—
1054C2×C22⋊C4—31no—
1055C2×C22⋊C4—31no—
1056C2×C22⋊C4—31no—
1057C2×C22⋊C4—31no—
1058C2×C22⋊C4—31no—
1059C2×C22⋊C4—31no—
1060C2×C22⋊C4—31no—
1061C2×C22⋊C4—64no—
1062C2×C22⋊C4—64no—
1063C2×C22⋊C4—64no—
1064C2×C22⋊C4—64no—
1065C2×C22⋊C4C22×D311yescharacteristic
1066C2×C22⋊C4C22×D311yescharacteristic
1067C2×C22⋊C4C22×D311yescharacteristic
1068C2×C22⋊C4C22×D311yescharacteristic
1069C2×C22⋊C4C22×D311yescharacteristic
1070C2×C22⋊C4C22×D311yescharacteristic
1071C2×C22⋊C4C22×D311yescharacteristic
1072C2×C22⋊C4C22×D311yescharacteristic
1073C2×C22⋊C4C22×D311yescharacteristic
1074C2×C22⋊C4C22×D311yescharacteristic
1075C2×C22⋊C4C22×D311yescharacteristic
1076C2×C22⋊C4C22×D311yescharacteristic
1077C2×C22⋊C4C22×D311yescharacteristic
1078C2×C22⋊C4C22×D311yescharacteristic
1079C2×C42—31no—
1080C2×C42—31no—
1081C2×C42—31no—
1082C2×C42—31no—
1083C2×C42—31no—
1084#95—31no—
1085#95—31no—
1086#95—31no—
1087#95—31no—
1088#95—31no—
1089#95—31no—
1090#95—31no—
1091#95—31no—
1092#95—31no—
1093#95—31no—
1094#95—31no—
1095#95—31no—
1096#95—31no—
1097#95—31no—
1098#95—31no—
1099#95—31no—
1100#95C22×D311yescharacteristic
1101#95C22×D311yescharacteristic
1102#95C22×D311yescharacteristic
1103#95C22×D311yescharacteristic
1104#95C22×D311yescharacteristic
1105#95C22×D311yescharacteristic
1106C23×C3—21no—
1107C23×C3—21no—
1108C23×C3—21no—
1109C23×C3—21no—
1110C23×C3—21no—
1111C23×C3—21no—
1112C23×C3—21no—
1113C23×C3—21no—
1114C23×C3—21no—
1115C23×C3—21no—
1116C23×C3—21no—
1117C23×C3—21no—
1118C23×C3—21no—
1119C23×C3—21no—
1120C23×C3—21no—
1121C23×C3—21no—
1122C23×C3—21no—
1123C23×C3—44no—
1124C23×C3—44no—
1125C23×C3—44no—
1126C23×C3—44no—
1127C23×C3—82no—
1128C23×C3—82no—
1129C23×C3—82no—
1130C23×C3C22×D412yes—
1131C23×C3C22×D412yes—
1132C23×C3C2×#4112yes—
1133C23×C32−1+412yes—
1134C23×C3C2511yescharacteristic
1135C22×D3—21no—
1136C22×D3—21no—
1137C22×D3—21no—
1138C22×D3—21no—
1139C22×D3—28no—
1140C22×D3—21no—
1141C22×D3—21no—
1142C22×D3—21no—
1143C22×D3—21no—
1144C22×D3—21no—
1145C22×D3—21no—
1146C22×D3—21no—
1147C22×D3—21no—
1148C22×D3—21no—
1149C22×D3—21no—
1150C22×D3—21no—
1151C22×D3—21no—
1152C22×D3—21no—
1153C22×D3—21no—
1154C22×D3—21no—
1155C22×D3—21no—
1156C22×D3—21no—
1157C22×D3—21no—
1158C22×D3—28no—
1159C22×D3—21no—
1160C22×D3—21no—
1161C22×D3—21no—
1162C22×D3—21no—
1163C22×D3—21no—
1164C22×D3—21no—
1165C22×D3—21no—
1166C22×D3—44no—
1167C22×D3—44no—
1168C22×D3—44no—
1169C22×D3—44no—
1170C22×D3—44no—
1171C22×D3—44no—
1172C22×D3—44no—
1173C22×D3—44no—
1174C22×D3—44no—
1175C22×D3—82no—
1176C22×D3—82no—
1177C22×D3—82no—
1178C22×D3C22×D412yes—
1179C22×D3C22×D412yes—
1180C22×D3C22×D412yes—
1181C22×D3C22×D412yes—
1182C22×D3C22×D412yes—
1183C22×D3H(5,𝔽2)12yes—
1184C3×Q8—44no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—21no—
1192C2×C3×C4—21no—
1193C2×C3×C4—21no—
1194C2×C3×C4—21no—
1195C2×C3×C4—21no—
1196C2×C3×C4—21no—
1197C2×C3×C4—21no—
1198C2×C3×C4—21no—
1199C2×C3×C4—21no—
1200C2×C3×C4—21no—
1201C2×C3×C4—21no—
1202C2×C3×C4—21no—
1203C2×C3×C4—21no—
1204C2×C3×C4—21no—
1205C2×C3×C4—21no—
1206C2×C3×C4—21no—
1207C2×C3×C4—21no—
1208C2×C3×C4—21no—
1209C2×C3×C4—21no—
1210C2×C3×C4—21no—
1211C2×C3×C4—21no—
1212C2×C3×C4—21no—
1213C2×C3×C4—21no—
1214C2×C3×C4—21no—
1215C2×C3×C4—21no—
1216C2×C3×C4—21no—
1217C2×C3×C4—44no—
1218C2×C3×C4—44no—
1219C2×C3×C4—44no—
1220C2×C3×C4—82no—
1221C2×C3×C4C22×D412yes—
1222C2×C3×C4C22×D412yes—
1223C2×C3×C4C22×D412yes—
1224C2×C3×C4C22×D412yes—
1225#67—28no—
1226#67—28no—
1227#67—28no—
1228#67—44no—
1229#67—44no—
1230#67—44no—
1231#67—44no—
1232#67—44no—
1233#67—44no—
1234#67—44no—
1235#67—82no—
1236C2×Dic3—21no—
1237C2×Dic3—21no—
1238C2×Dic3—21no—
1239C2×Dic3—21no—
1240C2×Dic3—21no—
1241C2×Dic3—21no—
1242C2×Dic3—28no—
1243C2×Dic3—21no—
1244C2×Dic3—21no—
1245C2×Dic3—21no—
1246C2×Dic3—21no—
1247C2×Dic3—21no—
1248C2×Dic3—21no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3—21no—
1252C2×Dic3—21no—
1253C2×Dic3—21no—
1254C2×Dic3—21no—
1255C2×Dic3—21no—
1256C2×Dic3—21no—
1257C2×Dic3—21no—
1258C2×Dic3—21no—
1259C2×Dic3—21no—
1260C2×Dic3—21no—
1261C2×Dic3—21no—
1262C2×Dic3—21no—
1263C2×Dic3—21no—
1264C2×Dic3—44no—
1265C2×Dic3C22×D412yes—
1266C2×Dic3C22×D412yes—
1267C2×Dic3C22×D412yes—
1268C2×Dic3C2×#4112yes—
1269C2×Dic3C2×#4112yes—
1270C2×Dic3H(5,𝔽2)12yes—
1271D12—28no—
1272D12—28no—
1273D12—44no—
1274D12—44no—
1275D12—44no—
1276D12—44no—
1277D12—44no—
1278D12—82no—
1279C4×D3—28no—
1280C4×D3—44no—
1281C4×D3—44no—
1282C4×D3—44no—
1283C4×D3—44no—
1284C4×D3—44no—
1285C4×D3—44no—
1286C4×D3—44no—
1287C4×D3—44no—
1288C4×D3—44no—
1289C4×D3—82no—
1290C4×D3—82no—
1291C4×D3—82no—
1292Dic6—44no—
1293C24—22no—
1294C24—22no—
1295C24—22no—
1296C24—22no—
1297C24—31no—
1298C24—31no—
1299C24—31no—
1300C24—31no—
1301C24—34no—
1302C24—31no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—62no—
1307C24—62no—
1308C24—62no—
1309C24—62no—
1310C24—62no—
1311C24—62no—
1312C24—62no—
1313C24—62no—
1314C24—121no—
1315C24—121no—
1316C24—121no—
1317C24—121no—
1318C24—121no—
1319C24C23×D311yescharacteristic
1320C24C23×D311yescharacteristic
1321C24C23×D311yescharacteristic
1322#41—1216no—
1323#41—1216no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—41no—
1327C2×Q8—62no—
1328C2×Q8—62no—
1329C2×Q8—121no—
1330C2×D4—34no—
1331C2×D4—34no—
1332C2×D4—34no—
1333C2×D4—34no—
1334C2×D4—34no—
1335C2×D4—34no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
1341C2×D4—62no—
1342C2×D4—62no—
1343C2×D4—62no—
1344C2×D4—62no—
1345C2×D4—62no—
1346C2×D4—62no—
1347C2×D4—62no—
1348C2×D4—62no—
1349C2×D4—62no—
1350C2×D4—62no—
1351C2×D4—62no—
1352C2×D4—62no—
1353C2×D4—62no—
1354C2×D4—62no—
1355C2×D4—62no—
1356C2×D4—62no—
1357C2×D4—62no—
1358C2×D4—62no—
1359C2×D4—62no—
1360C2×D4—62no—
1361C2×D4—62no—
1362C2×D4—62no—
1363C2×D4—62no—
1364C2×D4—62no—
1365C2×D4—62no—
1366C2×D4—62no—
1367C2×D4—62no—
1368C2×D4—62no—
1369C2×D4—62no—
1370C2×D4—62no—
1371C2×D4—62no—
1372C2×D4—62no—
1373C2×D4—121no—
1374C2×D4—121no—
1375C2×D4—121no—
1376C2×D4—121no—
1377C2×D4—121no—
1378C2×D4—121no—
1379C2×D4—121no—
1380C2×D4—1216no—
1381C2×D4—1216no—
1382C2×D4—121no—
1383C2×D4—121no—
1384C2×D4—121no—
1385C2×D4—121no—
1386C2×D4—121no—
1387C2×D4—121no—
1388C2×D4—121no—
1389C2×D4—1216no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—31no—
1398C22×C4—34no—
1399C22×C4—31no—
1400C22×C4—31no—
1401C22×C4—31no—
1402C22×C4—34no—
1403C22×C4—31no—
1404C22×C4—31no—
1405C22×C4—31no—
1406C22×C4—31no—
1407C22×C4—31no—
1408C22×C4—31no—
1409C22×C4—31no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—62no—
1416C22×C4—62no—
1417C22×C4—62no—
1418C22×C4—62no—
1419C22×C4—62no—
1420C22×C4—62no—
1421C22×C4—62no—
1422C22×C4—62no—
1423C22×C4—62no—
1424C22×C4—62no—
1425C22×C4—62no—
1426C22×C4—62no—
1427C22×C4—62no—
1428C22×C4—62no—
1429C22×C4—62no—
1430C22×C4—62no—
1431C22×C4—62no—
1432C22×C4—62no—
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—121no—
1447C22×C4—121no—
1448C22×C4—121no—
1449C22×C4—121no—
1450C22×C4—121no—
1451C22×C4—121no—
1452C22×C4—121no—
1453C22×C4—121no—
1454C22×C4—121no—
1455C22×C4—121no—
1456C22×C4—121no—
1457C22×C4—1216no—
1458C22×C4—121no—
1459C22×C4C23×D311yescharacteristic
1460C22×C4C23×D311yescharacteristic
1461C22×C4C23×D311yescharacteristic
1462C22×C4C23×D311yescharacteristic
1463C22×C4C23×D311yescharacteristic
1464C22×C4C23×D311yescharacteristic
1465C22×C4C23×D311yescharacteristic
1466C22×C4C23×D311yescharacteristic
1467C22×C4C23×D311yescharacteristic
1468C22×C4C23×D311yescharacteristic
1469C22×C4C23×D311yescharacteristic
1470C22×C4C23×D311yescharacteristic
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—34no—
1478C4⋊C4—41no—
1479C4⋊C4—41no—
1480C4⋊C4—41no—
1481C4⋊C4—62no—
1482C4⋊C4—62no—
1483C4⋊C4—62no—
1484C4⋊C4—62no—
1485C4⋊C4—62no—
1486C4⋊C4—62no—
1487C4⋊C4—62no—
1488C4⋊C4—62no—
1489C4⋊C4—62no—
1490C4⋊C4—62no—
1491C4⋊C4—62no—
1492C4⋊C4—62no—
1493C4⋊C4—62no—
1494C4⋊C4—62no—
1495C4⋊C4—62no—
1496C4⋊C4—62no—
1497C4⋊C4—62no—
1498C4⋊C4—121no—
1499C4⋊C4—121no—
1500C4⋊C4—121no—
1501C4⋊C4—121no—
1502C22⋊C4—22no—
1503C22⋊C4—22no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—34no—
1512C22⋊C4—34no—
1513C22⋊C4—34no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—62no—
1518C22⋊C4—62no—
1519C22⋊C4—62no—
1520C22⋊C4—62no—
1521C22⋊C4—62no—
1522C22⋊C4—62no—
1523C22⋊C4—62no—
1524C22⋊C4—62no—
1525C22⋊C4—62no—
1526C22⋊C4—62no—
1527C22⋊C4—62no—
1528C22⋊C4—62no—
1529C22⋊C4—62no—
1530C22⋊C4—62no—
1531C22⋊C4—62no—
1532C22⋊C4—62no—
1533C22⋊C4—62no—
1534C22⋊C4—62no—
1535C22⋊C4—62no—
1536C22⋊C4—62no—
1537C22⋊C4—62no—
1538C22⋊C4—62no—
1539C22⋊C4—62no—
1540C22⋊C4—62no—
1541C22⋊C4—62no—
1542C22⋊C4—121no—
1543C22⋊C4—121no—
1544C22⋊C4—121no—
1545C22⋊C4—121no—
1546C22⋊C4—121no—
1547C22⋊C4—121no—
1548C22⋊C4—121no—
1549C22⋊C4—121no—
1550C22⋊C4—121no—
1551C22⋊C4—121no—
1552C22⋊C4—121no—
1553C22⋊C4—121no—
1554C22⋊C4D3×D414yes—
1555C22⋊C4D3×D414yes—
1556C42—62no—
1557C42—62no—
1558C42—62no—
1559C42—62no—
1560C42—62no—
1561C22×C3—22no—
1562C22×C3—22no—
1563C22×C3—22no—
1564C22×C3—22no—
1565C22×C3—22no—
1566C22×C3—22no—
1567C22×C3—22no—
1568C22×C3—22no—
1569C22×C3—22no—
1570C22×C3—41no—
1571C22×C3—41no—
1572C22×C3—41no—
1573C22×C3—41no—
1574C22×C3—41no—
1575C22×C3—41no—
1576C22×C3—41no—
1577C22×C3—41no—
1578C22×C3—41no—
1579C22×C3—41no—
1580C22×C3—41no—
1581C22×C3—88no—
1582C22×C3#54714yescomplemented
1583C22×C3C23×D411yescharacteristic
1584C22×C3C23×D411yescharacteristic
1585C22×C3C22×#4111yescharacteristic
1586C22×C3C2×H(5,𝔽2)11yescharacteristic
1587C22×C3C2×H(5,𝔽2)11yescharacteristic
1588C22×C3C2×2−1+411yescharacteristic
1589C22×C3#58511yescharacteristic
1590C2×D3—22no—
1591C2×D3—22no—
1592C2×D3—22no—
1593C2×D3—22no—
1594C2×D3—22no—
1595C2×D3—22no—
1596C2×D3—22no—
1597C2×D3—22no—
1598C2×D3—22no—
1599C2×D3—22no—
1600C2×D3—22no—
1601C2×D3—22no—
1602C2×D3—22no—
1603C2×D3—22no—
1604C2×D3—22no—
1605C2×D3—416no—
1606C2×D3—41no—
1607C2×D3—41no—
1608C2×D3—41no—
1609C2×D3—41no—
1610C2×D3—41no—
1611C2×D3—41no—
1612C2×D3—41no—
1613C2×D3—41no—
1614C2×D3—41no—
1615C2×D3—41no—
1616C2×D3—41no—
1617C2×D3—41no—
1618C2×D3—41no—
1619C2×D3—41no—
1620C2×D3—41no—
1621C2×D3—41no—
1622C2×D3—41no—
1623C2×D3—41no—
1624C2×D3—41no—
1625C2×D3—88no—
1626C2×D3D4214yes—
1627C3×C4—22no—
1628C3×C4—22no—
1629C3×C4—22no—
1630C3×C4—22no—
1631C3×C4—41no—
1632C3×C4—41no—
1633C3×C4—41no—
1634C3×C4—41no—
1635C3×C4—41no—
1636C3×C4—41no—
1637C3×C4—41no—
1638C3×C4—41no—
1639Dic3—22no—
1640Dic3—22no—
1641Dic3—22no—
1642Dic3—41no—
1643Dic3—41no—
1644Dic3—41no—
1645Dic3—41no—
1646Dic3—41no—
1647Dic3—41no—
1648Dic3—41no—
1649Dic3#54614yescomplemented
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—32no—
1668C23—32no—
1669C23—32no—
1670C23—32no—
1671C23—32no—
1672C23—32no—
1673C23—44no—
1674C23—44no—
1675C23—44no—
1676C23—44no—
1677C23—68no—
1678C23—61no—
1679C23—61no—
1680C23—61no—
1681C23—61no—
1682C23—61no—
1683C23—61no—
1684C23—61no—
1685C23—61no—
1686C23—61no—
1687C23—61no—
1688C23—61no—
1689C23—61no—
1690C23—61no—
1691C23—61no—
1692C23—61no—
1693C23—61no—
1694C23—61no—
1695C23—61no—
1696C23—61no—
1697C23—61no—
1698C23—61no—
1699C23—61no—
1700C23—68no—
1701C23—61no—
1702C23—61no—
1703C23—61no—
1704C23—61no—
1705C23—61no—
1706C23—61no—
1707C23—61no—
1708C23—82no—
1709C23—82no—
1710C23—82no—
1711C23—124no—
1712C23—124no—
1713C23—124no—
1714C23—124no—
1715C23—124no—
1716C23—124no—
1717C23—124no—
1718C23—124no—
1719C23—124no—
1720C23—242no—
1721C23—242no—
1722C23—242no—
1723C23C2×D3×D412yes—
1724C23C2×D3×D412yes—
1725C23#100712yes—
1726C23D3×#4112yes—
1727C23C24×D311yescharacteristic
1728Q8—44no—
1729Q8—124no—
1730D4—68no—
1731D4—68no—
1732D4—68no—
1733D4—68no—
1734D4—68no—
1735D4—124no—
1736D4—124no—
1737D4—124no—
1738D4—124no—
1739D4—124no—
1740D4—124no—
1741D4—124no—
1742D4—124no—
1743D4—124no—
1744D4—124no—
1745D4—124no—
1746D4—124no—
1747D4—242no—
1748D4—242no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—32no—
1782C2×C4—32no—
1783C2×C4—32no—
1784C2×C4—32no—
1785C2×C4—32no—
1786C2×C4—32no—
1787C2×C4—44no—
1788C2×C4—44no—
1789C2×C4—44no—
1790C2×C4—68no—
1791C2×C4—68no—
1792C2×C4—61no—
1793C2×C4—61no—
1794C2×C4—61no—
1795C2×C4—61no—
1796C2×C4—61no—
1797C2×C4—61no—
1798C2×C4—61no—
1799C2×C4—61no—
1800C2×C4—61no—
1801C2×C4—61no—
1802C2×C4—61no—
1803C2×C4—61no—
1804C2×C4—61no—
1805C2×C4—61no—
1806C2×C4—61no—
1807C2×C4—61no—
1808C2×C4—61no—
1809C2×C4—61no—
1810C2×C4—61no—
1811C2×C4—61no—
1812C2×C4—61no—
1813C2×C4—61no—
1814C2×C4—61no—
1815C2×C4—61no—
1816C2×C4—61no—
1817C2×C4—61no—
1818C2×C4—61no—
1819C2×C4—82no—
1820C2×C4—124no—
1821C2×C4—124no—
1822C2×C4—124no—
1823C2×C4—124no—
1824C2×C4—124no—
1825C2×C4—124no—
1826C2×C4—124no—
1827C2×C4—124no—
1828C2×C4—124no—
1829C2×C4—124no—
1830C2×C4—242no—
1831C2×C4—242no—
1832C2×C4—242no—
1833C2×C4C2×D3×D412yes—
1834C2×C4C2×D3×D412yes—
1835C2×C4C2×D3×D412yes—
1836C2×C4C2×D3×D412yes—
1837C2×C3—24no—
1838C2×C3—42no—
1839C2×C3—81no—
1840C2×C3C2×D4211yescharacteristic
1841C2×C3C2×#54611yescharacteristic
1842C2×C3C2×#54711yescharacteristic
1843C2×C3#348911yescharacteristic
1844C2×C3#349411yescharacteristic
1845C2×C3#349611yescharacteristic
1846C2×C3#353611yescharacteristic
1847D3—24no—
1848D3—42no—
1849D3—42no—
1850D3—42no—
1851D3—81no—
1852C22—22no—
1853C22—22no—
1854C22—22no—
1855C22—22no—
1856C22—22no—
1857C22—22no—
1858C22—22no—
1859C22—22no—
1860C22—22no—
1861C22—34no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—62no—
1874C22—62no—
1875C22—62no—
1876C22—62no—
1877C22—62no—
1878C22—62no—
1879C22—62no—
1880C22—62no—
1881C22—62no—
1882C22—62no—
1883C22—62no—
1884C22—62no—
1885C22—62no—
1886C22—62no—
1887C22—62no—
1888C22—88no—
1889C22—1216no—
1890C22—121no—
1891C22—121no—
1892C22—121no—
1893C22—121no—
1894C22—121no—
1895C22—121no—
1896C22—121no—
1897C22—121no—
1898C22—121no—
1899C22—121no—
1900C22—121no—
1901C22—121no—
1902C22—121no—
1903C22—121no—
1904C22—121no—
1905C22—121no—
1906C22—121no—
1907C22—121no—
1908C22—121no—
1909C22—248no—
1910C22#563114yescomplemented
1911C22C22×D3×D411yescharacteristic
1912C22C22×D3×D411yescharacteristic
1913C22C2×#100711yescharacteristic
1914C22C2×D3×#4111yescharacteristic
1915C22#596411yescharacteristic
1916C22D3×H(5,𝔽2)11yescharacteristic
1917C22D3×H(5,𝔽2)11yescharacteristic
1918C4—22no—
1919C4—22no—
1920C4—22no—
1921C4—22no—
1922C4—34no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—41no—
1931C4—62no—
1932C4—62no—
1933C4—62no—
1934C4—121no—
1935C4—121no—
1936C4—121no—
1937C4—121no—
1938C4—121no—
1939C4—121no—
1940C4—121no—
1941C3#5901511yescharacteristic, complemented, Sylow
1942C2—24no—
1943C2—42no—
1944C2—64no—
1945C2—81no—
1946C2—122no—
1947C2—122no—
1948C2—122no—
1949C2—241no—
1950C2C2×#563111yescharacteristic
1951C2#8598511yescharacteristic
1952C2#8657511yescharacteristic
1953C2D3×D4211yescharacteristic
1954C2D3×#54611yescharacteristic
1955C2#8666511yescharacteristic
1956C2#8679211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2437C2
hypercenter#2437D3
hypocenterC3#59015
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. C2×#5631C2semidirect
2. C2×#5630C2semidirect
3. C2×#5490C2semidirect
4. C22×#884C2semidirect
5. C3×#2437C2semidirect
6. #82826C2semidirect
7. #82763C2semidirect
8. #82128C2semidirect
9. C22⋊C4×#67C2semidirect
10. #78113C2semidirect
11. #78030C2semidirect
12. #77426C2semidirect
13. #77417C2semidirect
14. #77284C2semidirect
15. #77284C2semidirect
16. #76864C2semidirect
17. #76792C2semidirect
18. #74628C2semidirect
19. #74606C2semidirect
20. #74599C2semidirect
21. #74413C2semidirect
22. #74409C2semidirect
23. #74397C2semidirect
24. #74393C2semidirect
25. #74379C2semidirect
26. #74022C2semidirect
27. #74021C2semidirect
28. D3×#380C2semidirect
29. #73935C2semidirect
30. #73853C2semidirect
31. #73824C2semidirect
35. C22×#239C22semidirect
36. C22×#235C22semidirect
40. C2×C3×C22⋊Q8C22semidirect
44. C2×#947C22semidirect
45. C2×#944C22semidirect
46. C2×#930C22semidirect
47. C2×#929C22semidirect
49. C2×C4×#67C22semidirect
50. C2×C4×#67C22semidirect
51. C2×C4×#67C22semidirect
56. C2×#897C22semidirect
57. C2×#895C22semidirect
58. C2×#895C22semidirect
59. C2×#895C22semidirect
60. C2×#894C22semidirect
61. C2×#894C22semidirect
62. C2×#894C22semidirect
63. C2×#894C22semidirect
64. C2×#894C22semidirect
65. C2×#893C22semidirect
66. C2×#893C22semidirect
67. C2×#893C22semidirect
68. C2×D3×C4⋊C4C22semidirect
69. C2×D3×C4⋊C4C22semidirect
70. C2×D3×C4⋊C4C22semidirect
71. C2×#885C22semidirect
82. C2×#884C22semidirect
83. C2×#884C22semidirect
84. C2×#884C22semidirect
85. C2×#884C22semidirect
86. C2×#883C22semidirect
87. C2×#883C22semidirect
88. C2×#883C22semidirect
89. C2×#883C22semidirect
98. C3×#399C22semidirect
99. C3×#396C22semidirect
100. C3×#396C22semidirect
101. C3×#393C22semidirect
104. C3×#385C22semidirect
105. C3×#385C22semidirect
107. C3×#380C22semidirect
110. #5230C22semidirect
112. #5213C22semidirect
113. #5213C22semidirect
116. #4994C22semidirect
117. #4994C22semidirect
118. #4993C22semidirect
119. #4991C22semidirect
120. #4991C22semidirect
121. #4991C22semidirect
122. #4990C22semidirect
123. #4989C22semidirect
124. #4989C22semidirect
125. #4989C22semidirect
126. #4987C22semidirect
127. #4987C22semidirect
128. #4987C22semidirect
129. #4983C22semidirect
130. #4981C22semidirect
131. #4979C22semidirect
132. #4976C22semidirect
133. #4976C22semidirect
134. #4976C22semidirect
135. #4975C22semidirect
136. #4975C22semidirect
137. #4961C22semidirect
138. #4961C22semidirect
139. #4961C22semidirect
140. #4960C22semidirect
141. #4960C22semidirect
142. #4959C22semidirect
143. #4959C22semidirect
144. #4959C22semidirect
145. #4959C22semidirect
146. #4959C22semidirect
147. #4957C22semidirect
148. #4957C22semidirect
149. #4957C22semidirect
150. #4957C22semidirect
151. #4956C22semidirect
152. #4956C22semidirect
153. #4956C22semidirect
154. #4956C22semidirect
155. #4956C22semidirect
159. #4952C22semidirect
160. #4951C22semidirect
162. #4949C22semidirect
164. #4945C22semidirect
168. #4677C22semidirect
169. #4675C22semidirect
170. #4673C22semidirect
171. #4672C22semidirect
172. #4672C22semidirect
173. #4672C22semidirect
174. #4669C22semidirect
175. #4668C22semidirect
176. #4668C22semidirect
177. #4668C22semidirect
178. #4667C22semidirect
179. #4667C22semidirect
180. #4667C22semidirect
181. #4666C22semidirect
182. #4666C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4665C22semidirect
187. #4665C22semidirect
188. D3×#95C22semidirect
189. D3×#95C22semidirect
190. #4649C22semidirect
191. #4647C22semidirect
205. #2437D3semidirect
416. #884D4semidirect
422. #882D4semidirect
476. C2×C22⋊Q8C2×D3semidirect
519. #399C2×D3semidirect
526. #396C2×D3semidirect
527. #396C2×D3semidirect
545. #393C2×D3semidirect
584. #385C2×D3semidirect
585. #385C2×D3semidirect
598. #380C2×D3semidirect
706. C22×Dic3#41semidirect
743. C2×D12C2×D4semidirect
744. C2×D12C2×D4semidirect
849. (C2×D3)⋊C4C2×D4semidirect
850. (C2×D3)⋊C4C2×D4semidirect
1582. C22×C3#547semidirect
1649. Dic3#546semidirect
1910. C22#5631semidirect
1941. C3#59015semidirect

Maximal subgroups

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

subgroupindex
C2×#56312
C2×#56302
C2×#54902
C22×#8842
C3×#24372
#828262
#827632
#821282
C22⋊C4×#672
#781132
#780302
#774262
#774172
#772842
#768642
#767922
#746282
#746062
#745992
#744132
#744092
#743972
#743932
#743792
#740222
#740212
D3×#3802
#739352
#738532
#738242
#590153