Finite Group Databasebeta

← #11635953

Subgroups — #11635953

Order 768.

3232 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5727C211yesmaximal, characteristic, complemented
2C2×D3×#124C211yesmaximal, characteristic, complemented
3C2×#5654C211yesmaximal, characteristic, complemented
4C2×#5633C211yesmaximal, characteristic, complemented
5C3×#2674C211yesmaximal, characteristic, complemented
6#83257C211yesmaximal, characteristic, complemented
7#82983C211yesmaximal, characteristic, complemented
8#82852C211yesmaximal, characteristic, complemented
9#82816C211yesmaximal, characteristic, complemented
10#78102C211yesmaximal, characteristic, complemented
11#78036C211yesmaximal, characteristic, complemented
12#77474C211yesmaximal, characteristic, complemented
13#77466C211yesmaximal, characteristic, complemented
14#77416C211yesmaximal, characteristic, complemented
15#77315C211yesmaximal, characteristic, complemented
16#77176C211yesmaximal, characteristic, complemented
17#77172C211yesmaximal, characteristic, complemented
18#76935C211yesmaximal, characteristic, complemented
19#76895C211yesmaximal, characteristic, complemented
20#76790C211yesmaximal, characteristic, complemented
21#76781C211yesmaximal, characteristic, complemented
22#76258C211yesmaximal, characteristic, complemented
23#75964C211yesmaximal, characteristic, complemented
24#75846C211yesmaximal, characteristic, complemented
25#75836C211yesmaximal, characteristic, complemented
26#75499C211yesmaximal, characteristic, complemented
27#75482C211yesmaximal, characteristic, complemented
28#75389C211yesmaximal, characteristic, complemented
29#74941C211yesmaximal, characteristic, complemented
30#74596C211yesmaximal, characteristic, complemented
31#74411C211yesmaximal, characteristic, complemented
32#59130—31nomaximal, Sylow
33C22×D3×Q8C2211yescharacteristic
34C22×D3×Q8C2211yescharacteristic, complemented
35C22×D3×D4C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×C4⋊Q8C2211yescharacteristic, complemented
38C2×C3×#124C2211yescharacteristic
39C2×C3×#123C2211yescharacteristic
40C2×C3×C22⋊Q8C2211yescharacteristic, complemented
41C2×#947C2211yescharacteristic
42C2×#947C2211yescharacteristic, complemented
43C2×#946C2211yescharacteristic
44C2×#946C2211yescharacteristic, complemented
45C2×#939C2211yescharacteristic
46C2×#936C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic, complemented
48C22×(C2×D3)⋊C4C2211yescharacteristic
49#5727—28no—
50D3×#124—28no—
51#5654—28no—
52#5633—28no—
53C2×#896C2211yescharacteristic
54C2×#896C2211yescharacteristic
55C2×#896C2211yescharacteristic, complemented
56C2×#896C2211yescharacteristic, complemented
57C2×#896C2211yescharacteristic, complemented
58C2×#896C2211yescharacteristic, complemented
59C2×#896C2211yescharacteristic, complemented
60C2×#895C2211yescharacteristic
61C2×#895C2211yescharacteristic
62C2×#895C2211yescharacteristic, complemented
63C2×#894C2211yescharacteristic
64C2×#893C2211yescharacteristic
65C2×#893C2211yescharacteristic
66C2×#893C2211yescharacteristic
67C2×#893C2211yescharacteristic, complemented
68C2×#893C2211yescharacteristic, complemented
69C2×#888C2211yescharacteristic, complemented
70C2×#888C2211yescharacteristic, complemented
71C2×#887C2211yescharacteristic, complemented
72C2×#885C2211yescharacteristic
73C2×#885C2211yescharacteristic
74C2×#885C2211yescharacteristic
75C2×#885C2211yescharacteristic
76C2×#885C2211yescharacteristic
77C2×#885C2211yescharacteristic, complemented
78C2×#884C2211yescharacteristic
79C2×#884C2211yescharacteristic
80C2×#884C2211yescharacteristic
81C2×#884C2211yescharacteristic, complemented
82C2×#882C2211yescharacteristic
83C2×#882C2211yescharacteristic
84C2×#882C2211yescharacteristic
85C2×#882C2211yescharacteristic
86C2×#67⋊C4C2211yescharacteristic
87C2×D3×C22⋊C4C2211yescharacteristic
88C2×D3×C22⋊C4C2211yescharacteristic
89C2×D3×C22⋊C4C2211yescharacteristic
90C2×D3×C22⋊C4C2211yescharacteristic
91C2×D3×C22⋊C4C2211yescharacteristic
92C2×#875C2211yescharacteristic
93C2×C4×D12C2211yescharacteristic
94C2×C42×D3C2211yescharacteristic
95C2×C4×Dic6C2211yescharacteristic, complemented
96C3×#399C2211yescharacteristic, complemented
97C3×#397C2211yescharacteristic, complemented
98C3×#396C2211yescharacteristic, complemented
99C3×#395C2211yescharacteristic, complemented
100C3×#394C2211yescharacteristic
101C3×#393C2211yescharacteristic, complemented
102C3×#389C2211yescharacteristic, complemented
103C3×#388C2211yescharacteristic, complemented
104C3×#388C2211yescharacteristic, complemented
105C3×#387C2211yescharacteristic, complemented
106C3×#385C2211yescharacteristic, complemented
107#5231C2211yescharacteristic, complemented
108#5231C2211yescharacteristic, complemented
109#5223C2211yescharacteristic
110#5210C2211yescharacteristic, complemented
111#4994C2211yescharacteristic, complemented
112#4994C2211yescharacteristic, complemented
113#4994C2211yescharacteristic, complemented
114#4993C2211yescharacteristic, complemented
115#4991C2211yescharacteristic
116#4991C2211yescharacteristic, complemented
117#4990C2211yescharacteristic, complemented
118#4990C2211yescharacteristic, complemented
119#4990C2211yescharacteristic, complemented
120#4990C2211yescharacteristic, complemented
121#4989C2211yescharacteristic
122#4989C2211yescharacteristic
123#4989C2211yescharacteristic
124#4989C2211yescharacteristic, complemented
125#4988C2211yescharacteristic, complemented
126#4988C2211yescharacteristic, complemented
127#4987C2211yescharacteristic
128#4987C2211yescharacteristic, complemented
129#4979C2211yescharacteristic, complemented
130Dic3×C4⋊C4C2211yescharacteristic, complemented
131Dic3×C4⋊C4C2211yescharacteristic, complemented
132#4961C2211yescharacteristic, complemented
133#4961C2211yescharacteristic, complemented
134#4961C2211yescharacteristic, complemented
135#4960C2211yescharacteristic, complemented
136#4959C2211yescharacteristic, complemented
137#4958C2211yescharacteristic, complemented
138#4957C2211yescharacteristic
139#4957C2211yescharacteristic
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4957C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4955C2211yescharacteristic
146#4955C2211yescharacteristic
147#4951C2211yescharacteristic, complemented
148#4950C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4948C2211yescharacteristic, complemented
151#4947C2211yescharacteristic, complemented
152#4945C2211yescharacteristic, complemented
153#4945C2211yescharacteristic, complemented
154#4942C2211yescharacteristic, complemented
155Dic3×C22⋊C4C2211yescharacteristic, complemented
156#4939C2211yescharacteristic, complemented
157#4939C2211yescharacteristic, complemented
158C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
159#4933C2211yescharacteristic, complemented
160#4675C2211yescharacteristic, complemented
161#4673C2211yescharacteristic, complemented
162#4673C2211yescharacteristic, complemented
163#4672C2211yescharacteristic, complemented
164#4672C2211yescharacteristic, complemented
165#4672C2211yescharacteristic, complemented
166#4671C2211yescharacteristic
167#4671C2211yescharacteristic, complemented
168#4670C2211yescharacteristic, complemented
169#4669C2211yescharacteristic, complemented
170#4669C2211yescharacteristic, complemented
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4667C2211yescharacteristic
175#4666C2211yescharacteristic
176#4666C2211yescharacteristic
177#4666C2211yescharacteristic, complemented
178#4666C2211yescharacteristic, complemented
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic
182#4665C2211yescharacteristic
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190#4646C2211yescharacteristic, complemented
191#4646C2211yescharacteristic, complemented
192C2×D4×Q8—31no—
193C2×#548—31no—
194C2×#546—31no—
195C22×#124—31no—
196#2676—31no—
197#2676—31no—
198#2674—31no—
199#2674D311yescharacteristic, complemented
200#2545—31no—
201#2540—31no—
202#2491—31no—
203#2491—31no—
204#2472—31no—
205#2472—31no—
206#2461—31no—
207#2461—31no—
208#2437—31no—
209#2437—31no—
210#2436—31no—
211#2432—31no—
212#2427—31no—
213#2426—31no—
214#2424—31no—
215#2424—31no—
216#2409—31no—
217#2408—31no—
218#2367—31no—
219#2358—31no—
220#2358—31no—
221C4×C22⋊Q8—31no—
222C4×#121—31no—
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×Q8C2311yescharacteristic
226C22×C3×Q8C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×D3×Q8—24no—
237C2×D3×Q8—24no—
238C2×D3×Q8—24no—
239C2×D3×Q8—24no—
240C2×D3×Q8—42no—
241C2×D3×Q8—42no—
242C2×D3×D4—24no—
243C2×D3×D4—24no—
244C2×D3×D4—42no—
245C2×#235—24no—
246C2×#235—24no—
247C2×#235—42no—
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
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×Dic6C2311yescharacteristic
268C22×Dic6C2311yescharacteristic
269C22×Dic6C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C22×Dic6C2311yescharacteristic
272C3×C4⋊Q8—24no—
273C3×#124—24no—
274C3×#123—24no—
275C3×C22⋊Q8—24no—
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C42C2311yescharacteristic
298C2×C3×C42C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306#947—24no—
307#947—24no—
308#946—24no—
309#946—24no—
310#939—24no—
311#936—24no—
312C4×#67—24no—
313C2×(C2×D3)⋊C4—24no—
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(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×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378#896—24no—
379#896—24no—
380#896—24no—
381#896—24no—
382#896—24no—
383#896—42no—
384#896D418yescomplemented
385#895—24no—
386#895—24no—
387#895—24no—
388#894—24no—
389#893—24no—
390#893—24no—
391#893—24no—
392#893—24no—
393#893—24no—
394#888—24no—
395#888—24no—
396#887—24no—
397#885—24no—
398#885—24no—
399#885—24no—
400#885—24no—
401#885—24no—
402#885D418yescomplemented
403#884—24no—
404#884—24no—
405#884—24no—
406#884—42no—
407#882—24no—
408#882—24no—
409#882—24no—
410#882—24no—
411#67⋊C4—24no—
412D3×C22⋊C4—24no—
413D3×C22⋊C4—24no—
414D3×C22⋊C4—24no—
415D3×C22⋊C4—24no—
416D3×C22⋊C4—24no—
417#875—24no—
418C4×D12—24no—
419C42×D3—24no—
420C4×Dic6—24no—
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
442C3⋊#95C2311yescharacteristic
443C3⋊#95C2311yescharacteristic
444C3⋊#95C2311yescharacteristic
445C22×#41—31no—
446C23×Q8—31no—
447C23×Q8—31no—
448C23×D4—31no—
449D4×Q8—68no—
450#548—68no—
451#546—68no—
452C2×C4⋊Q8—31no—
453C2×C4⋊Q8—31no—
454C2×C4⋊Q8C2×D311yescharacteristic, complemented
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×#124—31no—
465C2×#124—68no—
466C2×#124C2×D311yescharacteristic
467C2×#123—31no—
468C2×#123C2×D311yescharacteristic
469C2×C22⋊Q8—31no—
470C2×C22⋊Q8—31no—
471C2×C22⋊Q8—31no—
472C2×C22⋊Q8—31no—
473C2×C22⋊Q8—31no—
474C2×C22⋊Q8—31no—
475C2×C22⋊Q8—31no—
476C2×C22⋊Q8—31no—
477C2×C22⋊Q8—31no—
478C2×C22⋊Q8C2×D311yescharacteristic, complemented
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×#120—31no—
488C2×#120—31no—
489C2×#120—31no—
490C2×#120—31no—
491C2×C4×Q8—31no—
492C2×C4×Q8—31no—
493C2×C4×D4—31no—
494C2×C4×D4—31no—
495C2×C4×D4—31no—
496C2×C4×D4—31no—
497C2×C4×D4—31no—
498C2×C4×D4—31no—
499C2×C4×D4—31no—
500C2×C4×D4—31no—
501C22×C22⋊C4—31no—
502C22×C22⋊C4—31no—
503C22×C22⋊C4—31no—
504C22×C22⋊C4—31no—
505C22×C22⋊C4—31no—
506C22×C22⋊C4—31no—
507C22×C42—31no—
508#399—31no—
509#399C2×D311yescharacteristic, complemented
510#397—31no—
511#397C2×D311yescharacteristic, complemented
512#396—31no—
513#396—31no—
514#396—31no—
515#396—31no—
516#396—31no—
517#396C2×D311yescharacteristic, complemented
518#395—31no—
519#395C2×D311yescharacteristic, complemented
520#394—31no—
521#394—31no—
522#394—31no—
523#394—31no—
524#394—31no—
525#394—31no—
526#394—31no—
527#394—31no—
528#394—31no—
529#394C2×D311yescharacteristic
530#393—31no—
531#393—31no—
532#393—31no—
533#393—31no—
534#393—31no—
535#393C2×D311yescharacteristic, complemented
536#392—31no—
537#392—31no—
538#392—31no—
539#392—31no—
540#391—31no—
541#391—31no—
542#391—31no—
543#390—31no—
544#390—31no—
545#390—31no—
546#390—31no—
547#390—31no—
548#390—31no—
549#390—31no—
550#390—31no—
551#390—31no—
552#389—31no—
553#389C2×D311yescharacteristic, complemented
554#388—31no—
555#388—31no—
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388—31no—
561#388—31no—
562#388—31no—
563#388—31no—
564#388C2×D311yescharacteristic, complemented
565#388C2×D311yescharacteristic, complemented
566#387—31no—
567#387C2×D311yescharacteristic, complemented
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#386—31no—
574#386—31no—
575#386—31no—
576#386—31no—
577#386—31no—
578#385—31no—
579#385—31no—
580#385—31no—
581#385—31no—
582#385—31no—
583#385—31no—
584#385—31no—
585#385—31no—
586#385—31no—
587#385C2×D311yescharacteristic, complemented
588#380—31no—
589#380—31no—
590#380—31no—
591#380—31no—
592#379—31no—
593#379—31no—
594C4×C4⋊C4—31no—
595C4×C4⋊C4—31no—
596C4×C4⋊C4—31no—
597C4×C4⋊C4—31no—
598C4×C22⋊C4—31no—
599C4×C22⋊C4—31no—
600C4×C22⋊C4—31no—
601C4×C22⋊C4—31no—
602C4×C22⋊C4—31no—
603C4×C22⋊C4—31no—
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—22no—
610C23×D3—22no—
611C23×D3—22no—
612C23×D3—22no—
613C23×D3—22no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3C2411yescharacteristic
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C2×C3×Q8—22no—
626C2×C3×Q8—22no—
627C2×C3×Q8—22no—
628C2×C3×Q8—22no—
629C2×C3×Q8—41no—
630C2×C3×Q8—41no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C2×C3×D4—41no—
634C22×C3×C4—22no—
635C22×C3×C4—22no—
636C22×C3×C4—41no—
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
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
650C2×#67—22no—
651C2×#67—22no—
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—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67C2×D414yes—
668C22×Dic3—22no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682D3×Q8—416no—
683D3×Q8—416no—
684D3×D4—416no—
685#235—416no—
686C2×D12—22no—
687C2×D12—22no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
708C2×D12—41no—
709C2×D12#4114yescomplemented
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—22no—
724C2×C4×D3—22no—
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—41no—
734C2×C4×D3—41no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C2×C4×D3—41no—
739C2×C4×D3—41no—
740C2×C4×D3—41no—
741C2×C4×D3—41no—
742C2×C4×D3C2×D414yes—
743C2×Dic6—22no—
744C2×Dic6—22no—
745C2×Dic6—22no—
746C2×Dic6—22no—
747C2×Dic6—22no—
748C2×Dic6—22no—
749C2×Dic6—22no—
750C2×Dic6—22no—
751C2×Dic6—22no—
752C2×Dic6—22no—
753C2×Dic6—22no—
754C2×Dic6—41no—
755C2×Dic6—41no—
756C2×Dic6C2×D414yes—
757C2×Dic6C2×D414yes—
758C3×C4⋊C4—22no—
759C3×C4⋊C4—22no—
760C3×C4⋊C4—22no—
761C3×C4⋊C4—22no—
762C3×C4⋊C4—22no—
763C3×C4⋊C4—22no—
764C3×C4⋊C4—22no—
765C3×C4⋊C4—22no—
766C3×C4⋊C4—41no—
767C3×C4⋊C4C2×D414yes—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—22no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—41no—
778C3×C22⋊C4C2×D414yes—
779C3×C42—22no—
780C3×C42—22no—
781#217—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—41no—
786#217—41no—
787#217C2×D414yes—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—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—22no—
814(C2×D3)⋊C4—22no—
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)⋊C4C2×D414yes—
823(C2×D3)⋊C4C2×D414yes—
824(C2×D3)⋊C4C2×D414yes—
825(C2×D3)⋊C4C2×D414yes—
826C4⋊Dic3—22no—
827C4⋊Dic3—22no—
828C4⋊Dic3—41no—
829C4⋊Dic3—41no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—22no—
835Dic3⋊C4—22no—
836Dic3⋊C4—22no—
837Dic3⋊C4—22no—
838Dic3⋊C4—41no—
839Dic3⋊C4—41no—
840Dic3⋊C4C2×D414yes—
841Dic3⋊C4C2×D414yes—
842C4×Dic3—22no—
843C4×Dic3—22no—
844C4×Dic3—22no—
845C4×Dic3—22no—
846C4×Dic3—22no—
847C4×Dic3—22no—
848C4×Dic3—22no—
849C4×Dic3—41no—
850C4×Dic3—41no—
851C4×Dic3C2×D414yes—
852C25—31no—
853C25—31no—
854C2×#41—64no—
855C2×#41—64no—
856C2×#41—122no—
857C22×Q8—31no—
858C22×Q8—31no—
859C22×Q8—31no—
860C22×Q8—31no—
861C22×Q8—31no—
862C22×Q8—64no—
863C22×Q8—64no—
864C22×Q8—64no—
865C22×Q8—64no—
866C22×Q8—122no—
867C22×Q8—122no—
868C22×Q8C22×D311yescharacteristic
869C22×Q8C22×D311yescharacteristic
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
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—64no—
885C22×D4—64no—
886C22×D4—122no—
887C22×D4C22×D311yescharacteristic
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
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×C4C22×D311yescharacteristic
901C4⋊Q8—24no—
902C4⋊Q8—64no—
903C4⋊Q8—64no—
904#124—24no—
905#124—38no—
906#124—64no—
907#124—64no—
908#124—64no—
909#124—64no—
910#124—64no—
911#124—64no—
912#124—64no—
913#124—64no—
914#124—64no—
915#123—24no—
916#123—64no—
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—122no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—64no—
933#121—64no—
934#121—122no—
935#120—64no—
936#120—64no—
937#120—64no—
938#120—64no—
939C4×Q8—64no—
940C4×Q8—64no—
941C4×D4—64no—
942C4×D4—64no—
943C4×D4—64no—
944C4×D4—64no—
945C4×D4—64no—
946C4×D4—64no—
947C4×D4—64no—
948C4×D4—64no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—31no—
964C2×C4⋊C4—31no—
965C2×C4⋊C4C22×D311yescharacteristic
966C2×C4⋊C4C22×D311yescharacteristic
967C2×C4⋊C4C22×D311yescharacteristic
968C2×C4⋊C4C22×D311yescharacteristic
969C2×C4⋊C4C22×D311yescharacteristic
970C2×C4⋊C4C22×D311yescharacteristic
971C2×C4⋊C4C22×D311yescharacteristic
972C2×C4⋊C4C22×D311yescharacteristic
973C2×C4⋊C4C22×D311yescharacteristic
974C2×C4⋊C4C22×D311yescharacteristic
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⋊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—64no—
1021C2×C22⋊C4—64no—
1022C2×C22⋊C4—64no—
1023C2×C22⋊C4—64no—
1024C2×C22⋊C4—64no—
1025C2×C22⋊C4—64no—
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C22⋊C4C22×D311yescharacteristic
1032C2×C22⋊C4C22×D311yescharacteristic
1033C2×C22⋊C4C22×D311yescharacteristic
1034C2×C22⋊C4C22×D311yescharacteristic
1035C2×C22⋊C4C22×D311yescharacteristic
1036C2×C22⋊C4C22×D311yescharacteristic
1037C2×C42—31no—
1038C2×C42—31no—
1039C2×C42—31no—
1040C2×C42—31no—
1041C2×C42—31no—
1042C2×C42—31no—
1043C2×C42—31no—
1044C2×C42—31no—
1045C2×C42—31no—
1046C2×C42—31no—
1047C2×C42—64no—
1048C2×C42C22×D311yescharacteristic
1049C2×C42C22×D311yescharacteristic
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95—31no—
1057#95—31no—
1058#95—31no—
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95C22×D311yescharacteristic
1067#95C22×D311yescharacteristic
1068#95C22×D311yescharacteristic
1069#95C22×D311yescharacteristic
1070#95C22×D311yescharacteristic
1071#95C22×D311yescharacteristic
1072#95C22×D311yescharacteristic
1073#95C22×D311yescharacteristic
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3C22×D412yes—
1088C23×C3C2511yescharacteristic
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—44no—
1120C22×D3—44no—
1121C22×D3—44no—
1122C22×D3—44no—
1123C22×D3—44no—
1124C22×D3—44no—
1125C22×D3—44no—
1126C22×D3—44no—
1127C22×D3—82no—
1128C22×D3—82no—
1129C22×D3—82no—
1130C22×D3—82no—
1131C22×D3—82no—
1132C22×D3—82no—
1133C22×D3C22×D412yes—
1134C22×D3C22×D412yes—
1135C22×D3C2×#4112yes—
1136C22×D3C2×#4112yes—
1137C22×D32−1+412yes—
1138C3×Q8—44no—
1139C3×Q8—44no—
1140C3×D4—44no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—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—44no—
1175C2×C3×C4C22×D412yes—
1176C2×C3×C4C22×D412yes—
1177C2×C3×C4C22×D412yes—
1178C2×C3×C4C22×D412yes—
1179C2×C3×C4C22×D412yes—
1180C2×C3×C4C2×#4112yes—
1181#67—28no—
1182#67—44no—
1183#67—44no—
1184#67—44no—
1185#67—82no—
1186#67—82no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—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—82no—
1214C2×Dic3C22×D412yes—
1215C2×Dic3C22×D412yes—
1216C2×Dic3C22×D412yes—
1217C2×Dic3C22×D412yes—
1218C2×Dic3C22×D412yes—
1219C2×Dic3C22×D412yes—
1220C2×Dic3H(5,𝔽2)12yes—
1221D12—28no—
1222D12—44no—
1223D12—44no—
1224D12—44no—
1225D12—44no—
1226D12—44no—
1227D12—82no—
1228D12—82no—
1229C4×D3—28no—
1230C4×D3—44no—
1231C4×D3—44no—
1232C4×D3—44no—
1233C4×D3—44no—
1234C4×D3—44no—
1235C4×D3—44no—
1236C4×D3—44no—
1237C4×D3—44no—
1238C4×D3—44no—
1239C4×D3—82no—
1240Dic6—28no—
1241Dic6—28no—
1242Dic6—44no—
1243Dic6—44no—
1244Dic6—44no—
1245C24—31no—
1246C24—31no—
1247C24—31no—
1248C24—31no—
1249C24—31no—
1250C24—62no—
1251C24—62no—
1252C24—62no—
1253C24—62no—
1254C24—62no—
1255C24—62no—
1256C24—62no—
1257C24—62no—
1258C24—121no—
1259C24—121no—
1260C24—121no—
1261C24—121no—
1262C24—121no—
1263C24—121no—
1264C24C23×D311yescharacteristic
1265C24C23×D311yescharacteristic
1266#41—1216no—
1267C2×Q8—22no—
1268C2×Q8—22no—
1269C2×Q8—22no—
1270C2×Q8—22no—
1271C2×Q8—34no—
1272C2×Q8—34no—
1273C2×Q8—41no—
1274C2×Q8—41no—
1275C2×Q8—62no—
1276C2×Q8—62no—
1277C2×Q8—62no—
1278C2×Q8—62no—
1279C2×Q8—62no—
1280C2×Q8—62no—
1281C2×Q8—62no—
1282C2×Q8—62no—
1283C2×Q8—62no—
1284C2×Q8—62no—
1285C2×Q8—62no—
1286C2×Q8—121no—
1287C2×Q8—121no—
1288C2×Q8—1216no—
1289C2×Q8—1216no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—34no—
1293C2×D4—34no—
1294C2×D4—41no—
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—62no—
1320C2×D4—62no—
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—1216no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—31no—
1339C22×C4—31no—
1340C22×C4—31no—
1341C22×C4—31no—
1342C22×C4—31no—
1343C22×C4—34no—
1344C22×C4—31no—
1345C22×C4—31no—
1346C22×C4—31no—
1347C22×C4—31no—
1348C22×C4—31no—
1349C22×C4—31no—
1350C22×C4—41no—
1351C22×C4—62no—
1352C22×C4—62no—
1353C22×C4—62no—
1354C22×C4—62no—
1355C22×C4—62no—
1356C22×C4—62no—
1357C22×C4—62no—
1358C22×C4—62no—
1359C22×C4—62no—
1360C22×C4—62no—
1361C22×C4—62no—
1362C22×C4—62no—
1363C22×C4—62no—
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—121no—
1376C22×C4—121no—
1377C22×C4—121no—
1378C22×C4—121no—
1379C22×C4—121no—
1380C22×C4—121no—
1381C22×C4—121no—
1382C22×C4—121no—
1383C22×C4—121no—
1384C22×C4—121no—
1385C22×C4—121no—
1386C22×C4C23×D311yescharacteristic
1387C22×C4C23×D311yescharacteristic
1388C22×C4C23×D311yescharacteristic
1389C22×C4C23×D311yescharacteristic
1390C22×C4C23×D311yescharacteristic
1391C22×C4C23×D311yescharacteristic
1392C22×C4C23×D311yescharacteristic
1393C22×C4C23×D311yescharacteristic
1394C22×C4C23×D311yescharacteristic
1395C22×C4C23×D311yescharacteristic
1396C22×C4C23×D311yescharacteristic
1397C22×C4C23×D311yescharacteristic
1398C22×C4C23×D311yescharacteristic
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—34no—
1408C4⋊C4—34no—
1409C4⋊C4—41no—
1410C4⋊C4—62no—
1411C4⋊C4—62no—
1412C4⋊C4—62no—
1413C4⋊C4—62no—
1414C4⋊C4—62no—
1415C4⋊C4—62no—
1416C4⋊C4—62no—
1417C4⋊C4—62no—
1418C4⋊C4—62no—
1419C4⋊C4—62no—
1420C4⋊C4—121no—
1421C4⋊C4—121no—
1422C4⋊C4—121no—
1423C4⋊C4—121no—
1424C4⋊C4D3×D414yes—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—34no—
1435C22⋊C4—34no—
1436C22⋊C4—34no—
1437C22⋊C4—34no—
1438C22⋊C4—34no—
1439C22⋊C4—41no—
1440C22⋊C4—62no—
1441C22⋊C4—62no—
1442C22⋊C4—62no—
1443C22⋊C4—62no—
1444C22⋊C4—62no—
1445C22⋊C4—62no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—62no—
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—121no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4—121no—
1480C22⋊C4D3×D414yes—
1481C42—22no—
1482C42—22no—
1483C42—34no—
1484C42—62no—
1485C42—62no—
1486C42—62no—
1487C42—62no—
1488C42—62no—
1489C42—62no—
1490C42—62no—
1491C42—121no—
1492C42—121no—
1493C22×C3—22no—
1494C22×C3—22no—
1495C22×C3—22no—
1496C22×C3—41no—
1497C22×C3—41no—
1498C22×C3—41no—
1499C22×C3—41no—
1500C22×C3—41no—
1501C22×C3—41no—
1502C22×C3—41no—
1503C22×C3—41no—
1504C22×C3—41no—
1505C22×C3—41no—
1506C22×C3—41no—
1507C22×C3C23×D411yescharacteristic
1508C22×C3C23×D411yescharacteristic
1509C22×C3C22×#4111yescharacteristic
1510C22×C3C2×H(5,𝔽2)11yescharacteristic
1511C22×C3C2×2−1+411yescharacteristic
1512C22×C3#58511yescharacteristic
1513C22×C3#58511yescharacteristic
1514C2×D3—22no—
1515C2×D3—22no—
1516C2×D3—22no—
1517C2×D3—22no—
1518C2×D3—22no—
1519C2×D3—22no—
1520C2×D3—22no—
1521C2×D3—22no—
1522C2×D3—22no—
1523C2×D3—22no—
1524C2×D3—22no—
1525C2×D3—22no—
1526C2×D3—41no—
1527C2×D3—41no—
1528C2×D3—41no—
1529C2×D3—41no—
1530C2×D3—41no—
1531C2×D3—41no—
1532C2×D3—41no—
1533C2×D3—41no—
1534C2×D3—41no—
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—88no—
1549C2×D3—88no—
1550C2×D3#54814yescomplemented
1551C3×C4—22no—
1552C3×C4—22no—
1553C3×C4—22no—
1554C3×C4—22no—
1555C3×C4—22no—
1556C3×C4—22no—
1557C3×C4—41no—
1558C3×C4—41no—
1559C3×C4—41no—
1560C3×C4—41no—
1561C3×C4—41no—
1562C3×C4—41no—
1563C3×C4—41no—
1564Dic3—22no—
1565Dic3—22no—
1566Dic3—22no—
1567Dic3—22no—
1568Dic3—41no—
1569Dic3—41no—
1570Dic3—41no—
1571Dic3—41no—
1572Dic3—41no—
1573Dic3—41no—
1574Dic3D4214yes—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—32no—
1589C23—32no—
1590C23—32no—
1591C23—32no—
1592C23—32no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
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—124no—
1624C23—124no—
1625C23—124no—
1626C23—124no—
1627C23—124no—
1628C23—124no—
1629C23—124no—
1630C23—124no—
1631C23—242no—
1632C23—242no—
1633C23—242no—
1634C23—242no—
1635C23—242no—
1636C23—242no—
1637C23C2×D3×D412yes—
1638C23C24×D311yescharacteristic
1639Q8—44no—
1640Q8—44no—
1641Q8—68no—
1642Q8—68no—
1643Q8—124no—
1644Q8—124no—
1645Q8—124no—
1646D4—44no—
1647D4—68no—
1648D4—68no—
1649D4—124no—
1650D4—124no—
1651D4—124no—
1652D4—124no—
1653D4—124no—
1654D4—124no—
1655D4—124no—
1656D4—124no—
1657D4—242no—
1658D4—242no—
1659D4—242no—
1660D4—242no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
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—32no—
1695C2×C4—32no—
1696C2×C4—32no—
1697C2×C4—32no—
1698C2×C4—32no—
1699C2×C4—32no—
1700C2×C4—32no—
1701C2×C4—44no—
1702C2×C4—68no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
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—124no—
1730C2×C4—124no—
1731C2×C4—124no—
1732C2×C4—124no—
1733C2×C4—124no—
1734C2×C4—124no—
1735C2×C4—124no—
1736C2×C4—124no—
1737C2×C4—124no—
1738C2×C4—242no—
1739C2×C4—242no—
1740C2×C4C2×D3×D412yes—
1741C2×C4C2×D3×D412yes—
1742C2×C4C2×D3×D412yes—
1743C2×C4C2×D3×D412yes—
1744C2×C4C2×D3×D412yes—
1745C2×C4D3×#4112yes—
1746C2×C3—42no—
1747C2×C3—81no—
1748C2×C3C2×D4211yescharacteristic
1749C2×C3C2×#54811yescharacteristic
1750C2×C3D4×#4111yescharacteristic
1751C2×C3#348911yescharacteristic
1752C2×C3#350011yescharacteristic
1753C2×C3#351411yescharacteristic
1754C2×C3#356111yescharacteristic
1755D3—24no—
1756D3—42no—
1757D3—42no—
1758D3—81no—
1759D3—81no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—34no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—62no—
1776C22—62no—
1777C22—62no—
1778C22—62no—
1779C22—62no—
1780C22—62no—
1781C22—62no—
1782C22—62no—
1783C22—62no—
1784C22—62no—
1785C22—62no—
1786C22—62no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
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—248no—
1810C22—248no—
1811C22C22×D3×D411yescharacteristic
1812C22C22×D3×D411yescharacteristic
1813C22C2×D3×#4111yescharacteristic
1814C22D3×H(5,𝔽2)11yescharacteristic
1815C22D3×2−1+411yescharacteristic
1816C22#596811yescharacteristic
1817C22#596811yescharacteristic
1818C4—22no—
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—22no—
1823C4—22no—
1824C4—34no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—62no—
1833C4—62no—
1834C4—62no—
1835C4—62no—
1836C4—121no—
1837C4—121no—
1838C4—121no—
1839C4—121no—
1840C4—121no—
1841C4—121no—
1842C3#5913011yescharacteristic, complemented, Sylow
1843C2—42no—
1844C2—64no—
1845C2—81no—
1846C2—122no—
1847C2—122no—
1848C2—241no—
1849C2—241no—
1850C2#8634111yescharacteristic
1851C2#8635611yescharacteristic
1852C2#8655411yescharacteristic
1853C2D3×D4211yescharacteristic
1854C2#8667411yescharacteristic
1855C2D3×#54811yescharacteristic
1856C2#8712311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2674C2
hypercenter#2674D3
hypocenterC3#59130
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2674

Complements

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

NH ≅ G/Ntype
1. C2×#5727C2semidirect
2. C2×D3×#124C2semidirect
3. C2×#5654C2semidirect
4. C2×#5633C2semidirect
5. C3×#2674C2semidirect
6. #83257C2semidirect
7. #82983C2semidirect
8. #82852C2semidirect
9. #82816C2semidirect
10. #78102C2semidirect
11. #78036C2semidirect
12. #77474C2semidirect
13. #77466C2semidirect
14. #77416C2semidirect
15. #77315C2semidirect
16. #77176C2semidirect
17. #77172C2semidirect
18. #76935C2semidirect
19. #76895C2semidirect
20. #76790C2semidirect
21. #76781C2semidirect
22. #76258C2semidirect
23. #75964C2semidirect
24. #75846C2semidirect
25. #75836C2semidirect
26. #75499C2semidirect
27. #75482C2semidirect
28. #75389C2semidirect
29. #74941C2semidirect
30. #74596C2semidirect
31. #74411C2semidirect
34. C22×D3×Q8C22semidirect
37. C2×C3×C4⋊Q8C22semidirect
40. C2×C3×C22⋊Q8C22semidirect
42. C2×#947C22semidirect
44. C2×#946C22semidirect
47. C2×C4×#67C22semidirect
55. C2×#896C22semidirect
56. C2×#896C22semidirect
57. C2×#896C22semidirect
58. C2×#896C22semidirect
59. C2×#896C22semidirect
62. C2×#895C22semidirect
67. C2×#893C22semidirect
68. C2×#893C22semidirect
69. C2×#888C22semidirect
70. C2×#888C22semidirect
71. C2×#887C22semidirect
77. C2×#885C22semidirect
81. C2×#884C22semidirect
95. C2×C4×Dic6C22semidirect
96. C3×#399C22semidirect
97. C3×#397C22semidirect
98. C3×#396C22semidirect
99. C3×#395C22semidirect
101. C3×#393C22semidirect
102. C3×#389C22semidirect
103. C3×#388C22semidirect
104. C3×#388C22semidirect
105. C3×#387C22semidirect
106. C3×#385C22semidirect
107. #5231C22semidirect
108. #5231C22semidirect
110. #5210C22semidirect
111. #4994C22semidirect
112. #4994C22semidirect
113. #4994C22semidirect
114. #4993C22semidirect
116. #4991C22semidirect
117. #4990C22semidirect
118. #4990C22semidirect
119. #4990C22semidirect
120. #4990C22semidirect
124. #4989C22semidirect
125. #4988C22semidirect
126. #4988C22semidirect
128. #4987C22semidirect
129. #4979C22semidirect
130. Dic3×C4⋊C4C22semidirect
131. Dic3×C4⋊C4C22semidirect
132. #4961C22semidirect
133. #4961C22semidirect
134. #4961C22semidirect
135. #4960C22semidirect
136. #4959C22semidirect
137. #4958C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
142. #4957C22semidirect
143. #4956C22semidirect
144. #4956C22semidirect
147. #4951C22semidirect
148. #4950C22semidirect
149. #4948C22semidirect
150. #4948C22semidirect
151. #4947C22semidirect
152. #4945C22semidirect
153. #4945C22semidirect
154. #4942C22semidirect
155. Dic3×C22⋊C4C22semidirect
156. #4939C22semidirect
157. #4939C22semidirect
158. C4×(C2×D3)⋊C4C22semidirect
159. #4933C22semidirect
160. #4675C22semidirect
161. #4673C22semidirect
162. #4673C22semidirect
163. #4672C22semidirect
164. #4672C22semidirect
165. #4672C22semidirect
167. #4671C22semidirect
168. #4670C22semidirect
169. #4669C22semidirect
170. #4669C22semidirect
172. #4668C22semidirect
173. #4668C22semidirect
177. #4666C22semidirect
178. #4666C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4649C22semidirect
187. #4649C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
190. #4646C22semidirect
191. #4646C22semidirect
199. #2674D3semidirect
384. #896D4semidirect
402. #885D4semidirect
454. C2×C4⋊Q8C2×D3semidirect
478. C2×C22⋊Q8C2×D3semidirect
509. #399C2×D3semidirect
511. #397C2×D3semidirect
517. #396C2×D3semidirect
519. #395C2×D3semidirect
535. #393C2×D3semidirect
553. #389C2×D3semidirect
564. #388C2×D3semidirect
565. #388C2×D3semidirect
567. #387C2×D3semidirect
587. #385C2×D3semidirect
709. C2×D12#41semidirect
1550. C2×D3#548semidirect
1842. C3#59130semidirect

Maximal subgroups

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

subgroupindex
C2×#57272
C2×D3×#1242
C2×#56542
C2×#56332
C3×#26742
#832572
#829832
#828522
#828162
#781022
#780362
#774742
#774662
#774162
#773152
#771762
#771722
#769352
#768952
#767902
#767812
#762582
#759642
#758462
#758362
#754992
#754822
#753892
#749412
#745962
#744112
#591303