Finite Group Databasebeta

← #11635951

Subgroups — #11635951

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×D3×#124C211yesmaximal, characteristic, complemented
2C2×#5654C211yesmaximal, characteristic, complemented
3C2×#5632C211yesmaximal, characteristic, complemented
4C2×#5552C211yesmaximal, characteristic, complemented
5C3×#2461C211yesmaximal, characteristic, complemented
6#82967C211yesmaximal, characteristic, complemented
7#82870C211yesmaximal, characteristic, complemented
8#82827C211yesmaximal, characteristic, complemented
9#82398C211yesmaximal, characteristic, complemented
10#77418C211yesmaximal, characteristic, complemented
11#77286C211yesmaximal, characteristic, complemented
12#77260C211yesmaximal, characteristic, complemented
13#77172C211yesmaximal, characteristic, complemented
14#77114C211yesmaximal, characteristic, complemented
15#76902C211yesmaximal, characteristic, complemented
16#76714C211yesmaximal, characteristic, complemented
17#76669C211yesmaximal, characteristic, complemented
18#76432C211yesmaximal, characteristic, complemented
19#76347C211yesmaximal, characteristic, complemented
20#75593C211yesmaximal, characteristic, complemented
21#75527C211yesmaximal, characteristic, complemented
22#75526C211yesmaximal, characteristic, complemented
23#75511C211yesmaximal, characteristic, complemented
24#75481C211yesmaximal, characteristic, complemented
25#75452C211yesmaximal, characteristic, complemented
26#74894C211yesmaximal, characteristic, complemented
27#74701C211yesmaximal, characteristic, complemented
28#74607C211yesmaximal, characteristic, complemented
29#74411C211yesmaximal, characteristic, complemented
30#73788C211yesmaximal, characteristic, complemented
31C4×#896C211yesmaximal, characteristic, complemented
32#59130—31nomaximal, Sylow
33C22×D3×Q8C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C23×Dic6C2211yescharacteristic, complemented
37C2×C3×#124C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic
39C2×C3×C22⋊Q8C2211yescharacteristic, complemented
40C2×C3×C4×D4C2211yescharacteristic, complemented
41C2×#947C2211yescharacteristic
42C2×#944C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic, complemented
47C2×#937C2211yescharacteristic
48C2×#937C2211yescharacteristic
49C2×#936C2211yescharacteristic
50C2×#930C2211yescharacteristic, complemented
51C2×C4×#67C2211yescharacteristic
52C22×(C2×D3)⋊C4C2211yescharacteristic
53C2×#924C2211yescharacteristic, complemented
54D3×#124—28no—
55#5654—28no—
56#5632—28no—
57#5552—28no—
58C2×#897C2211yescharacteristic
59C2×#896C2211yescharacteristic
60C2×#896C2211yescharacteristic
61C2×#896C2211yescharacteristic, complemented
62C2×#896C2211yescharacteristic, complemented
63C2×#896C2211yescharacteristic, complemented
64C2×#895C2211yescharacteristic
65C2×#894C2211yescharacteristic
66C2×#893C2211yescharacteristic
67C2×#888C2211yescharacteristic, complemented
68C2×#888C2211yescharacteristic, complemented
69C2×#887C2211yescharacteristic, complemented
70C2×#885C2211yescharacteristic
71C2×#885C2211yescharacteristic
72C2×#885C2211yescharacteristic
73C2×#885C2211yescharacteristic
74C2×#885C2211yescharacteristic
75C2×#885C2211yescharacteristic, complemented
76C2×#884C2211yescharacteristic
77C2×#884C2211yescharacteristic
78C2×#882C2211yescharacteristic
79C2×#882C2211yescharacteristic
80C2×#67⋊C4C2211yescharacteristic
81C2×#67⋊C4C2211yescharacteristic
82C2×#67⋊C4C2211yescharacteristic
83C2×#67⋊C4C2211yescharacteristic, complemented
84C2×#67⋊C4C2211yescharacteristic, complemented
85C2×D3×C22⋊C4C2211yescharacteristic
86C2×D3×C22⋊C4C2211yescharacteristic
87C2×D3×C22⋊C4C2211yescharacteristic
88C2×D3×C22⋊C4C2211yescharacteristic
89C2×D3×C22⋊C4C2211yescharacteristic
90C2×#878C2211yescharacteristic, complemented
91C2×#878C2211yescharacteristic, complemented
92C2×#875C2211yescharacteristic
93C2×#875C2211yescharacteristic, complemented
94C2×C42×D3C2211yescharacteristic
95C2×C4×Dic6C2211yescharacteristic, complemented
96C3×#396C2211yescharacteristic, complemented
97C3×#395C2211yescharacteristic, complemented
98C3×#394C2211yescharacteristic, complemented
99C3×#392C2211yescharacteristic
100C3×#390C2211yescharacteristic, complemented
101C3×#388C2211yescharacteristic, complemented
102C3×#388C2211yescharacteristic, complemented
103C3×#388C2211yescharacteristic, complemented
104C3×#386C2211yescharacteristic, complemented
105C3×#385C2211yescharacteristic, complemented
106C3×C4×C4⋊C4C2211yescharacteristic, complemented
107#5231C2211yescharacteristic, complemented
108#5223C2211yescharacteristic, complemented
109#5222C2211yescharacteristic
110#5220C2211yescharacteristic, complemented
111#5220C2211yescharacteristic, complemented
112#5213C2211yescharacteristic, complemented
113#5210C2211yescharacteristic, complemented
114#4994C2211yescharacteristic, complemented
115#4993C2211yescharacteristic, complemented
116#4991C2211yescharacteristic, complemented
117#4991C2211yescharacteristic, complemented
118#4990C2211yescharacteristic, complemented
119#4989C2211yescharacteristic
120#4989C2211yescharacteristic
121#4989C2211yescharacteristic
122#4989C2211yescharacteristic, complemented
123#4989C2211yescharacteristic, complemented
124#4988C2211yescharacteristic, complemented
125#4987C2211yescharacteristic, complemented
126#4980C2211yescharacteristic, complemented
127#4979C2211yescharacteristic, complemented
128#4976C2211yescharacteristic, complemented
129#4976C2211yescharacteristic, complemented
130#4961C2211yescharacteristic, complemented
131#4960C2211yescharacteristic
132#4960C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4958C2211yescharacteristic, complemented
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4957C2211yescharacteristic, complemented
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic, complemented
145#4955C2211yescharacteristic
146#4955C2211yescharacteristic
147#4953C2211yescharacteristic, complemented
148#4949C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4948C2211yescharacteristic, complemented
151#4947C2211yescharacteristic, complemented
152#4947C2211yescharacteristic, complemented
153#4946C2211yescharacteristic, complemented
154#4944C2211yescharacteristic, complemented
155#4944C2211yescharacteristic, complemented
156#4944C2211yescharacteristic, complemented
157#4942C2211yescharacteristic, complemented
158Dic3×C22⋊C4C2211yescharacteristic, complemented
159Dic3×C22⋊C4C2211yescharacteristic, complemented
160#4940C2211yescharacteristic, complemented
161#4940C2211yescharacteristic, complemented
162#4939C2211yescharacteristic, complemented
163C4×(C2×D3)⋊C4C2211yescharacteristic
164C4×(C2×D3)⋊C4C2211yescharacteristic
165C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
166C4×Dic3⋊C4C2211yescharacteristic, complemented
167C4×Dic3⋊C4C2211yescharacteristic, complemented
168#4676C2211yescharacteristic, complemented
169#4676C2211yescharacteristic, complemented
170#4675C2211yescharacteristic, complemented
171#4673C2211yescharacteristic, complemented
172#4673C2211yescharacteristic, complemented
173#4673C2211yescharacteristic, complemented
174#4672C2211yescharacteristic
175#4672C2211yescharacteristic, complemented
176#4670C2211yescharacteristic, complemented
177#4669C2211yescharacteristic, complemented
178#4669C2211yescharacteristic, complemented
179#4668C2211yescharacteristic
180#4668C2211yescharacteristic, complemented
181#4667C2211yescharacteristic
182#4667C2211yescharacteristic
183#4666C2211yescharacteristic, complemented
184#4665C2211yescharacteristic
185#4665C2211yescharacteristic
186#4665C2211yescharacteristic
187#4652C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, 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#2674—31no—
200#2545—31no—
201#2540—31no—
202#2491—31no—
203#2491—31no—
204#2472—31no—
205#2472—31no—
206#2461—31no—
207#2461D311yescharacteristic, complemented
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×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C2×D3×Q8—24no—
243C2×D3×Q8—24no—
244C2×D3×Q8—42no—
245C2×D3×D4—24no—
246C2×D3×D4—24no—
247C2×D3×D4—42no—
248C2×#235—24no—
249C2×#235—24no—
250C2×#235—42no—
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×Dic6—24no—
264C22×Dic6—24no—
265C22×Dic6—42no—
266C22×Dic6C2311yescharacteristic
267C22×Dic6C2311yescharacteristic
268C22×Dic6C2311yescharacteristic
269C22×Dic6C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C22×Dic6C2311yescharacteristic
272C3×#124—24no—
273C3×#123—24no—
274C3×C22⋊Q8—24no—
275C3×C4×D4—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×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C42C2311yescharacteristic
297C2×C3×C42C2311yescharacteristic
298C2×C3×C42C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310#947—24no—
311#944—24no—
312#939—24no—
313#939—24no—
314#939—24no—
315#939—42no—
316#937—24no—
317#937—24no—
318#936—24no—
319#930—24no—
320C4×#67—24no—
321C2×(C2×D3)⋊C4—24no—
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357#924—24no—
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383#897—24no—
384#896—24no—
385#896—24no—
386#896—24no—
387#896—42no—
388#896D418yescomplemented
389#895—24no—
390#894—24no—
391#893—24no—
392#888—24no—
393#888—24no—
394#887—24no—
395#885—24no—
396#885—24no—
397#885—24no—
398#885—24no—
399#885—24no—
400#885D418yescomplemented
401#884—24no—
402#884—24no—
403#882—24no—
404#882—24no—
405#67⋊C4—24no—
406#67⋊C4—24no—
407#67⋊C4—24no—
408#67⋊C4—24no—
409#67⋊C4—24no—
410D3×C22⋊C4—24no—
411D3×C22⋊C4—24no—
412D3×C22⋊C4—24no—
413D3×C22⋊C4—24no—
414D3×C22⋊C4—24no—
415#878—24no—
416#878—24no—
417#875—24no—
418#875—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⋊Q8—31no—
455C2×#124—31no—
456C2×#124—31no—
457C2×#124—31no—
458C2×#124—31no—
459C2×#124—31no—
460C2×#124—31no—
461C2×#124—31no—
462C2×#124—31no—
463C2×#124—31no—
464C2×#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×D4C2×D311yescharacteristic, complemented
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#399—31no—
510#397—31no—
511#397—31no—
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, complemented
530#393—31no—
531#393—31no—
532#393—31no—
533#393—31no—
534#393—31no—
535#393—31no—
536#392—31no—
537#392—31no—
538#392—31no—
539#392C2×D311yescharacteristic
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#390C2×D311yescharacteristic, complemented
552#389—31no—
553#389—31no—
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#388C2×D311yescharacteristic, complemented
564#388C2×D311yescharacteristic, complemented
565#388C2×D311yescharacteristic, complemented
566#387—31no—
567#387—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#386—31no—
574#386—31no—
575#386—31no—
576#386—31no—
577#386C2×D311yescharacteristic, complemented
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⋊C4C2×D311yescharacteristic, complemented
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
606C24×C3C2411yescharacteristic
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—22no—
610C23×D3—22no—
611C23×D3—22no—
612C23×D3—22no—
613C23×D3—22no—
614C23×D3—22no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3—41no—
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C2×C3×Q8—22no—
626C2×C3×Q8—22no—
627C2×C3×Q8—41no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C22×C3×C4—22no—
638C22×C3×C4—22no—
639C22×C3×C4—22no—
640C22×C3×C4—22no—
641C22×C3×C4—41no—
642C22×C3×C4—41no—
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67C2×D414yes—
678C2×#67#4114yescomplemented
679C22×Dic3—22no—
680C22×Dic3—22no—
681C22×Dic3—22no—
682C22×Dic3—22no—
683C22×Dic3—22no—
684C22×Dic3—22no—
685C22×Dic3—41no—
686C22×Dic3—41no—
687C22×Dic3—41no—
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700D3×Q8—416no—
701D3×D4—416no—
702#235—416no—
703C2×D12—22no—
704C2×D12—22no—
705C2×D12—22no—
706C2×D12—22no—
707C2×D12—22no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—41no—
712C2×D12—41no—
713C2×D12—41no—
714C2×D12—41no—
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—41no—
732C2×C4×D3—41no—
733C2×C4×D3—41no—
734C2×C4×D3—41no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C2×C4×D3C2×D414yes—
739C2×Dic6—22no—
740C2×Dic6—22no—
741C2×Dic6—22no—
742C2×Dic6—22no—
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—416no—
753C2×Dic6—41no—
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—41no—
763C3×C4⋊C4—41no—
764C3×C4⋊C4C2×D414yes—
765C3×C22⋊C4—22no—
766C3×C22⋊C4—22no—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—22no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—41no—
776C3×C22⋊C4—41no—
777C3×C22⋊C4C2×D414yes—
778C3×C42—22no—
779C3×C42—22no—
780C3×C42—41no—
781#217—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—22no—
786#217—22no—
787#217—22no—
788#217—22no—
789#217—41no—
790#217—41no—
791#217C2×D414yes—
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—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4C2×D414yes—
821(C2×D3)⋊C4C2×D414yes—
822(C2×D3)⋊C4C2×D414yes—
823(C2×D3)⋊C4C2×D414yes—
824C4⋊Dic3—22no—
825C4⋊Dic3—22no—
826C4⋊Dic3—22no—
827Dic3⋊C4—22no—
828Dic3⋊C4—22no—
829Dic3⋊C4—22no—
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⋊C4—41no—
841Dic3⋊C4C2×D414yes—
842Dic3⋊C4C2×D414yes—
843C4×Dic3—22no—
844C4×Dic3—22no—
845C4×Dic3—22no—
846C4×Dic3—22no—
847C4×Dic3—22no—
848C4×Dic3—22no—
849C4×Dic3—22no—
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—31no—
863C22×Q8—64no—
864C22×Q8—64no—
865C22×Q8—64no—
866C22×Q8—64no—
867C22×Q8—122no—
868C22×Q8—122no—
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—64no—
883C22×D4—64no—
884C22×D4—122no—
885C22×D4C22×D311yescharacteristic
886C22×D4C22×D311yescharacteristic
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×C4C22×D311yescharacteristic
900C23×C4C22×D311yescharacteristic
901C4⋊Q8—64no—
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—24no—
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⋊C4—31no—
966C2×C4⋊C4—31no—
967C2×C4⋊C4—31no—
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—64no—
1019C2×C22⋊C4—64no—
1020C2×C22⋊C4—64no—
1021C2×C22⋊C4—64no—
1022C2×C22⋊C4—64no—
1023C2×C22⋊C4—64no—
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
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—64no—
1047C2×C42C22×D311yescharacteristic
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#95—31no—
1067#95—31no—
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×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3C22×D412yes—
1094C23×C3C2×#4112yes—
1095C23×C3C2511yescharacteristic
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—21no—
1120C22×D3—44no—
1121C22×D3—44no—
1122C22×D3—44no—
1123C22×D3—44no—
1124C22×D3—44no—
1125C22×D3—44no—
1126C22×D3—44no—
1127C22×D3—44no—
1128C22×D3—82no—
1129C22×D3—82no—
1130C22×D3—82no—
1131C22×D3—82no—
1132C22×D3—82no—
1133C22×D3—82no—
1134C22×D3C22×D412yes—
1135C22×D3C22×D412yes—
1136C22×D3C2×#4112yes—
1137C22×D32−1+412yes—
1138C3×Q8—44no—
1139C3×D4—44no—
1140C3×D4—44no—
1141C3×D4—82no—
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—44no—
1174C2×C3×C4—44no—
1175C2×C3×C4C22×D412yes—
1176C2×C3×C4C22×D412yes—
1177C2×C3×C4C22×D412yes—
1178C2×C3×C4C22×D412yes—
1179C2×C3×C4C22×D412yes—
1180#67—28no—
1181#67—28no—
1182#67—44no—
1183#67—44no—
1184#67—44no—
1185#67—44no—
1186#67—82no—
1187#67—82no—
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—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—44no—
1217C2×Dic3—44no—
1218C2×Dic3—82no—
1219C2×Dic3C22×D412yes—
1220C2×Dic3C22×D412yes—
1221C2×Dic3C22×D412yes—
1222C2×Dic3C22×D412yes—
1223C2×Dic3C22×D412yes—
1224C2×Dic3C22×D412yes—
1225C2×Dic3C2×#4112yes—
1226C2×Dic3H(5,𝔽2)12yes—
1227D12—44no—
1228D12—44no—
1229D12—44no—
1230D12—82no—
1231C4×D3—28no—
1232C4×D3—44no—
1233C4×D3—44no—
1234C4×D3—44no—
1235C4×D3—44no—
1236C4×D3—44no—
1237C4×D3—44no—
1238C4×D3—82no—
1239Dic6—28no—
1240Dic6—28no—
1241Dic6—44no—
1242Dic6—44no—
1243Dic6—44no—
1244Dic6—44no—
1245C24—31no—
1246C24—31no—
1247C24—31no—
1248C24—31no—
1249C24—62no—
1250C24—62no—
1251C24—62no—
1252C24—62no—
1253C24—62no—
1254C24—62no—
1255C24—62no—
1256C24—62no—
1257C24—121no—
1258C24—121no—
1259C24—121no—
1260C24—121no—
1261C24—121no—
1262C24—121no—
1263C24C23×D311yescharacteristic
1264C24C23×D311yescharacteristic
1265C24C23×D311yescharacteristic
1266#41—1216no—
1267C2×Q8—22no—
1268C2×Q8—22no—
1269C2×Q8—34no—
1270C2×Q8—34no—
1271C2×Q8—41no—
1272C2×Q8—62no—
1273C2×Q8—62no—
1274C2×Q8—62no—
1275C2×Q8—62no—
1276C2×Q8—62no—
1277C2×Q8—62no—
1278C2×Q8—62no—
1279C2×Q8—62no—
1280C2×Q8—62no—
1281C2×Q8—62no—
1282C2×Q8—62no—
1283C2×Q8—62no—
1284C2×Q8—62no—
1285C2×Q8—121no—
1286C2×Q8—121no—
1287C2×Q8—121no—
1288C2×Q8—1216no—
1289C2×Q8—1216no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—34no—
1296C2×D4—34no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
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—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—121no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—1216no—
1329C2×D4—121no—
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—22no—
1339C22×C4—22no—
1340C22×C4—31no—
1341C22×C4—31no—
1342C22×C4—31no—
1343C22×C4—31no—
1344C22×C4—31no—
1345C22×C4—31no—
1346C22×C4—34no—
1347C22×C4—31no—
1348C22×C4—31no—
1349C22×C4—31no—
1350C22×C4—31no—
1351C22×C4—31no—
1352C22×C4—31no—
1353C22×C4—41no—
1354C22×C4—41no—
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—62no—
1376C22×C4—62no—
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×C4—121no—
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—34no—
1404C4⋊C4—34no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—62no—
1408C4⋊C4—62no—
1409C4⋊C4—62no—
1410C4⋊C4—62no—
1411C4⋊C4—62no—
1412C4⋊C4—62no—
1413C4⋊C4—62no—
1414C4⋊C4—62no—
1415C4⋊C4—62no—
1416C4⋊C4—62no—
1417C4⋊C4—62no—
1418C4⋊C4—62no—
1419C4⋊C4—62no—
1420C4⋊C4—62no—
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—22no—
1435C22⋊C4—34no—
1436C22⋊C4—34no—
1437C22⋊C4—34no—
1438C22⋊C4—34no—
1439C22⋊C4—34no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
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—62no—
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—41no—
1485C42—62no—
1486C42—62no—
1487C42—62no—
1488C42—62no—
1489C42—62no—
1490C42—62no—
1491C42—62no—
1492C42—121no—
1493C22×C3—22no—
1494C22×C3—22no—
1495C22×C3—22no—
1496C22×C3—22no—
1497C22×C3—22no—
1498C22×C3—22no—
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×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3C23×D411yescharacteristic
1515C22×C3C23×D411yescharacteristic
1516C22×C3C22×#4111yescharacteristic
1517C22×C3C2×H(5,𝔽2)11yescharacteristic
1518C22×C3C2×2−1+411yescharacteristic
1519C22×C3#58511yescharacteristic
1520C22×C3#58511yescharacteristic
1521C2×D3—22no—
1522C2×D3—22no—
1523C2×D3—22no—
1524C2×D3—22no—
1525C2×D3—22no—
1526C2×D3—22no—
1527C2×D3—22no—
1528C2×D3—22no—
1529C2×D3—22no—
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—41no—
1557C3×C4—41no—
1558C3×C4—41no—
1559C3×C4—41no—
1560C3×C4—41no—
1561C3×C4—41no—
1562C3×C4—41no—
1563Dic3—22no—
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—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—32no—
1595C23—32no—
1596C23—32no—
1597C23—32no—
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—124no—
1623C23—124no—
1624C23—124no—
1625C23—124no—
1626C23—124no—
1627C23—124no—
1628C23—124no—
1629C23—124no—
1630C23—242no—
1631C23—242no—
1632C23—242no—
1633C23—242no—
1634C23—242no—
1635C23—242no—
1636C23C2×D3×D412yes—
1637C23D3×#4112yes—
1638C23C24×D311yescharacteristic
1639Q8—44no—
1640Q8—68no—
1641Q8—68no—
1642Q8—124no—
1643Q8—124no—
1644Q8—124no—
1645Q8—124no—
1646D4—44no—
1647D4—44no—
1648D4—68no—
1649D4—68no—
1650D4—82no—
1651D4—124no—
1652D4—124no—
1653D4—124no—
1654D4—124no—
1655D4—124no—
1656D4—124no—
1657D4—124no—
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—32no—
1693C2×C4—32no—
1694C2×C4—32no—
1695C2×C4—32no—
1696C2×C4—32no—
1697C2×C4—32no—
1698C2×C4—32no—
1699C2×C4—32no—
1700C2×C4—44no—
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—61no—
1730C2×C4—61no—
1731C2×C4—124no—
1732C2×C4—124no—
1733C2×C4—124no—
1734C2×C4—124no—
1735C2×C4—124no—
1736C2×C4—124no—
1737C2×C4—124no—
1738C2×C4—124no—
1739C2×C4—242no—
1740C2×C4—242no—
1741C2×C4C2×D3×D412yes—
1742C2×C4C2×D3×D412yes—
1743C2×C4C2×D3×D412yes—
1744C2×C4C2×D3×D412yes—
1745C2×C4C2×D3×D412yes—
1746C2×C3—42no—
1747C2×C3—42no—
1748C2×C3—81no—
1749C2×C3C2×D4211yescharacteristic
1750C2×C3C2×#54811yescharacteristic
1751C2×C3D4×#4111yescharacteristic
1752C2×C3#348911yescharacteristic
1753C2×C3#350011yescharacteristic
1754C2×C3#351411yescharacteristic
1755C2×C3#356111yescharacteristic
1756D3—24no—
1757D3—42no—
1758D3—81no—
1759D3—81no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—34no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—62no—
1783C22—62no—
1784C22—62no—
1785C22—62no—
1786C22—62no—
1787C22—62no—
1788C22—62no—
1789C22—62no—
1790C22—62no—
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
1814C22#596411yescharacteristic
1815C22#596411yescharacteristic
1816C22D3×H(5,𝔽2)11yescharacteristic
1817C22D3×2−1+411yescharacteristic
1818C4—22no—
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—22no—
1823C4—34no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—62no—
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—42no—
1845C2—64no—
1846C2—81no—
1847C2—122no—
1848C2—241no—
1849C2—241no—
1850C2#8603711yescharacteristic
1851C2#8624411yescharacteristic
1852C2#8654011yescharacteristic
1853C2D3×D4211yescharacteristic
1854C2#8667711yescharacteristic
1855C2D3×#54811yescharacteristic
1856C2#8679711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2461C2
hypercenter#2461D3
hypocenterC3#59130
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2461

Complements

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

NH ≅ G/Ntype
1. C2×D3×#124C2semidirect
2. C2×#5654C2semidirect
3. C2×#5632C2semidirect
4. C2×#5552C2semidirect
5. C3×#2461C2semidirect
6. #82967C2semidirect
7. #82870C2semidirect
8. #82827C2semidirect
9. #82398C2semidirect
10. #77418C2semidirect
11. #77286C2semidirect
12. #77260C2semidirect
13. #77172C2semidirect
14. #77114C2semidirect
15. #76902C2semidirect
16. #76714C2semidirect
17. #76669C2semidirect
18. #76432C2semidirect
19. #76347C2semidirect
20. #75593C2semidirect
21. #75527C2semidirect
22. #75526C2semidirect
23. #75511C2semidirect
24. #75481C2semidirect
25. #75452C2semidirect
26. #74894C2semidirect
27. #74701C2semidirect
28. #74607C2semidirect
29. #74411C2semidirect
30. #73788C2semidirect
31. C4×#896C2semidirect
36. C23×Dic6C22semidirect
39. C2×C3×C22⋊Q8C22semidirect
40. C2×C3×C4×D4C22semidirect
42. C2×#944C22semidirect
46. C2×#939C22semidirect
50. C2×#930C22semidirect
53. C2×#924C22semidirect
61. C2×#896C22semidirect
62. C2×#896C22semidirect
63. C2×#896C22semidirect
67. C2×#888C22semidirect
68. C2×#888C22semidirect
69. C2×#887C22semidirect
75. C2×#885C22semidirect
83. C2×#67⋊C4C22semidirect
84. C2×#67⋊C4C22semidirect
90. C2×#878C22semidirect
91. C2×#878C22semidirect
93. C2×#875C22semidirect
95. C2×C4×Dic6C22semidirect
96. C3×#396C22semidirect
97. C3×#395C22semidirect
98. C3×#394C22semidirect
100. C3×#390C22semidirect
101. C3×#388C22semidirect
102. C3×#388C22semidirect
103. C3×#388C22semidirect
104. C3×#386C22semidirect
105. C3×#385C22semidirect
106. C3×C4×C4⋊C4C22semidirect
107. #5231C22semidirect
108. #5223C22semidirect
110. #5220C22semidirect
111. #5220C22semidirect
112. #5213C22semidirect
113. #5210C22semidirect
114. #4994C22semidirect
115. #4993C22semidirect
116. #4991C22semidirect
117. #4991C22semidirect
118. #4990C22semidirect
122. #4989C22semidirect
123. #4989C22semidirect
124. #4988C22semidirect
125. #4987C22semidirect
126. #4980C22semidirect
127. #4979C22semidirect
128. #4976C22semidirect
129. #4976C22semidirect
130. #4961C22semidirect
132. #4960C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
135. #4959C22semidirect
136. #4958C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
142. #4957C22semidirect
144. #4956C22semidirect
147. #4953C22semidirect
148. #4949C22semidirect
149. #4948C22semidirect
150. #4948C22semidirect
151. #4947C22semidirect
152. #4947C22semidirect
153. #4946C22semidirect
154. #4944C22semidirect
155. #4944C22semidirect
156. #4944C22semidirect
157. #4942C22semidirect
158. Dic3×C22⋊C4C22semidirect
159. Dic3×C22⋊C4C22semidirect
160. #4940C22semidirect
161. #4940C22semidirect
162. #4939C22semidirect
165. C4×(C2×D3)⋊C4C22semidirect
166. C4×Dic3⋊C4C22semidirect
167. C4×Dic3⋊C4C22semidirect
168. #4676C22semidirect
169. #4676C22semidirect
170. #4675C22semidirect
171. #4673C22semidirect
172. #4673C22semidirect
173. #4673C22semidirect
175. #4672C22semidirect
176. #4670C22semidirect
177. #4669C22semidirect
178. #4669C22semidirect
180. #4668C22semidirect
183. #4666C22semidirect
187. #4652C22semidirect
188. #4649C22semidirect
189. #4646C22semidirect
190. #4646C22semidirect
191. #4646C22semidirect
207. #2461D3semidirect
388. #896D4semidirect
400. #885D4semidirect
478. C2×C22⋊Q8C2×D3semidirect
500. C2×C4×D4C2×D3semidirect
517. #396C2×D3semidirect
519. #395C2×D3semidirect
529. #394C2×D3semidirect
551. #390C2×D3semidirect
563. #388C2×D3semidirect
564. #388C2×D3semidirect
565. #388C2×D3semidirect
577. #386C2×D3semidirect
587. #385C2×D3semidirect
597. C4×C4⋊C4C2×D3semidirect
678. C2×#67#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×D3×#1242
C2×#56542
C2×#56322
C2×#55522
C3×#24612
#829672
#828702
#828272
#823982
#774182
#772862
#772602
#771722
#771142
#769022
#767142
#766692
#764322
#763472
#755932
#755272
#755262
#755112
#754812
#754522
#748942
#747012
#746072
#744112
#737882
C4×#8962
#591303