Finite Group Databasebeta

← #11635541

Subgroups — #11635541

Order 768.

3132 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5824C211yesmaximal, characteristic, complemented
2C2×#5832C211yesmaximal, characteristic, complemented
3C2×#5655C211yesmaximal, characteristic, complemented
4C2×#5507C211yesmaximal, characteristic, complemented
5C3×#2406C211yesmaximal, characteristic, complemented
6#82859C211yesmaximal, characteristic, complemented
7#82848C211yesmaximal, characteristic, complemented
8#82847C211yesmaximal, characteristic, complemented
9C2×#4976C211yesmaximal, characteristic, complemented
10#77260C211yesmaximal, characteristic, complemented
11#77259C211yesmaximal, characteristic, complemented
12#77186C211yesmaximal, characteristic, complemented
13#77174C211yesmaximal, characteristic, complemented
14#77132C211yesmaximal, characteristic, complemented
15#77002C211yesmaximal, characteristic, complemented
16#76907C211yesmaximal, characteristic, complemented
17#76903C211yesmaximal, characteristic, complemented
18#74699C211yesmaximal, characteristic, complemented
19#74696C211yesmaximal, characteristic, complemented
20#74692C211yesmaximal, characteristic, complemented
21#74676C211yesmaximal, characteristic, complemented
22#74612C211yesmaximal, characteristic, complemented
23#74611C211yesmaximal, characteristic, complemented
24#74609C211yesmaximal, characteristic, complemented
25#74425C211yesmaximal, characteristic, complemented
26#74421C211yesmaximal, characteristic, complemented
27#74409C211yesmaximal, characteristic, complemented
28#74397C211yesmaximal, characteristic, complemented
29#74393C211yesmaximal, characteristic, complemented
30#74063C211yesmaximal, characteristic, complemented
31#74052C211yesmaximal, characteristic, complemented
32#59112—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic
39C22×C3×C4⋊C4C2211yescharacteristic
40#5832—28no—
41#5824—28no—
42C2×#947C2211yescharacteristic
43C2×#946C2211yescharacteristic
44C2×#944C2211yescharacteristic
45C2×#944C2211yescharacteristic
46C2×#940C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic
49C2×#939C2211yescharacteristic
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#939C2211yescharacteristic
53C2×#936C2211yescharacteristic
54C2×#935C2211yescharacteristic
55C2×#935C2211yescharacteristic
56C2×D4×Dic3C2211yescharacteristic
57C2×#930C2211yescharacteristic
58C2×#929C2211yescharacteristic
59C2×#929C2211yescharacteristic
60C2×#929C2211yescharacteristic
61C2×C4×#67C2211yescharacteristic
62C2×C4×#67C2211yescharacteristic
63C2×C4×#67C2211yescharacteristic
64C2×C4×#67C2211yescharacteristic
65C2×C4×#67C2211yescharacteristic
66C2×C4×#67C2211yescharacteristic
67C2×#924C2211yescharacteristic
68C22×Dic3⋊C4C2211yescharacteristic
69C22×Dic3⋊C4C2211yescharacteristic
70C22×Dic3⋊C4C2211yescharacteristic
71C22×Dic3⋊C4C2211yescharacteristic
72C22×C4×Dic3C2211yescharacteristic
73#5655—28no—
74C2×#896C2211yescharacteristic
75C2×#896C2211yescharacteristic
76C2×#896C2211yescharacteristic
77#5507—28no—
78C2×#895C2211yescharacteristic
79C2×#894C2211yescharacteristic
80C2×#894C2211yescharacteristic
81C2×#894C2211yescharacteristic
82C2×#893C2211yescharacteristic
83C2×D3×C4⋊C4C2211yescharacteristic
84C2×D3×C4⋊C4C2211yescharacteristic
85C2×#888C2211yescharacteristic
86C2×#888C2211yescharacteristic
87C2×#886C2211yescharacteristic
88C2×#886C2211yescharacteristic
89C2×#884C2211yescharacteristic
90C2×#884C2211yescharacteristic
91C2×#883C2211yescharacteristic
92C2×#67⋊C4C2211yescharacteristic
93C2×#67⋊C4C2211yescharacteristic
94C2×#67⋊C4C2211yescharacteristic
95C2×#878C2211yescharacteristic
96C3×#395C2211yescharacteristic
97C3×#395C2211yescharacteristic
98C3×#394C2211yescharacteristic
99C3×#394C2211yescharacteristic
100C3×#386C2211yescharacteristic
101C3×#386C2211yescharacteristic
102C3×#385C2211yescharacteristic
103C3×#385C2211yescharacteristic
104C3×#385C2211yescharacteristic
105C3×#385C2211yescharacteristic
106C3×#381C2211yescharacteristic
107C2×C3⋊#95C2211yescharacteristic
108C2×C3⋊#95C2211yescharacteristic
109#4994C2211yescharacteristic
110#4993C2211yescharacteristic
111#4993C2211yescharacteristic
112#4991C2211yescharacteristic
113#4990C2211yescharacteristic
114#4989C2211yescharacteristic
115#4989C2211yescharacteristic
116#4982C2211yescharacteristic
117#4979C2211yescharacteristic
118#4976C2211yescharacteristic
119#4976C2211yescharacteristic
120#4976C2211yescharacteristic
121#4976C2211yescharacteristic
122#4976C2211yescharacteristic
123#4976C2211yescharacteristic
124#4976C2211yescharacteristic
125#4976C2211yescharacteristic
126#4976C2211yescharacteristic
127#4975C2211yescharacteristic
128#4975C2211yescharacteristic
129#4961C2211yescharacteristic
130#4960C2211yescharacteristic
131#4960C2211yescharacteristic
132#4959C2211yescharacteristic
133#4959C2211yescharacteristic
134#4959C2211yescharacteristic
135#4958C2211yescharacteristic
136#4958C2211yescharacteristic
137#4958C2211yescharacteristic
138#4958C2211yescharacteristic
139#4958C2211yescharacteristic
140#4957C2211yescharacteristic
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic
143#4957C2211yescharacteristic
144#4956C2211yescharacteristic
145#4956C2211yescharacteristic
146#4956C2211yescharacteristic
147#4952C2211yescharacteristic
148#4951C2211yescharacteristic
149#4950C2211yescharacteristic
150#4949C2211yescharacteristic
151#4949C2211yescharacteristic
152#4948C2211yescharacteristic
153#4948C2211yescharacteristic
154#4947C2211yescharacteristic
155#4946C2211yescharacteristic
156#4946C2211yescharacteristic
157#4945C2211yescharacteristic
158#4942C2211yescharacteristic
159Dic3×C22⋊C4C2211yescharacteristic
160#4676C2211yescharacteristic
161#4675C2211yescharacteristic
162#4673C2211yescharacteristic
163#4672C2211yescharacteristic
164#4672C2211yescharacteristic
165#4672C2211yescharacteristic
166#4669C2211yescharacteristic
167#4669C2211yescharacteristic
168#4669C2211yescharacteristic
169#4668C2211yescharacteristic
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic
174#4668C2211yescharacteristic
175#4667C2211yescharacteristic
176#4667C2211yescharacteristic
177#4666C2211yescharacteristic
178#4666C2211yescharacteristic
179#4665C2211yescharacteristic
180#4657C2211yescharacteristic
181#4656C2211yescharacteristic
182#4656C2211yescharacteristic
183#4656C2211yescharacteristic
184#4652C2211yescharacteristic
185#4652C2211yescharacteristic
186#4649C2211yescharacteristic
187#4649C2211yescharacteristic
188#4649C2211yescharacteristic
189#4647C2211yescharacteristic
190#4647C2211yescharacteristic
191#4647C2211yescharacteristic
192C2×#547—31no—
193C2×#547—31no—
194C2×#547—31no—
195C2×#532—31no—
196#2674—31no—
197#2674—31no—
198#2672—31no—
199#2672—31no—
200#2551—31no—
201#2501—31no—
202#2455—31no—
203#2455—31no—
204#2452—31no—
205#2449—31no—
206#2449—31no—
207#2445—31no—
208#2440—31no—
209#2430—31no—
210#2430—31no—
211#2428—31no—
212#2425—31no—
213#2425—31no—
214#2422—31no—
215#2416—31no—
216#2406—31no—
217#2406D311yescharacteristic, complemented
218#2361—31no—
219#2361—31no—
220D4×C4⋊C4—31no—
221C4×#123—31no—
222C2×#389—31no—
223C2×C3×#41—24no—
224C2×C3×#41—24no—
225C2×C3×#41—42no—
226C22×C3×Q8C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C2×#237—24no—
251C2×#237—24no—
252C2×#237—42no—
253C2×#235—24no—
254C2×#235—24no—
255C2×#235—24no—
256C2×#235—24no—
257C2×#235—42no—
258C2×#235—42no—
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×Dic6C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C22×Dic6C2311yescharacteristic
272C3×#123—24no—
273C3×#123—42no—
274C2×C3×C4⋊C4—24no—
275C2×C3×C4⋊C4C2311yescharacteristic
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×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302#947—24no—
303#946—24no—
304#944—24no—
305#944—24no—
306#940—24no—
307#939—24no—
308#939—24no—
309#939—24no—
310#939—24no—
311#939—24no—
312#939D418yescomplemented
313#936—24no—
314#935—24no—
315#935—24no—
316D4×Dic3—24no—
317#930—24no—
318#929—24no—
319#929—24no—
320#929D418yescomplemented
321C4×#67—24no—
322C4×#67—24no—
323C4×#67—24no—
324C4×#67—24no—
325C4×#67—24no—
326C4×#67—24no—
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×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356#924—24no—
357C2×Dic3⋊C4—24no—
358C2×Dic3⋊C4—24no—
359C2×Dic3⋊C4—24no—
360C2×Dic3⋊C4—24no—
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×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×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×C4×Dic3—24no—
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392C2×C4×Dic3C2311yescharacteristic
393C2×C4×Dic3C2311yescharacteristic
394C2×C4×Dic3C2311yescharacteristic
395C2×C4×Dic3C2311yescharacteristic
396C2×C4×Dic3C2311yescharacteristic
397C2×C4×Dic3C2311yescharacteristic
398#896—24no—
399#896—24no—
400#896—24no—
401#895—24no—
402#894—24no—
403#894—24no—
404#894—24no—
405#893—24no—
406D3×C4⋊C4—24no—
407D3×C4⋊C4—24no—
408#888—24no—
409#888—24no—
410#886—24no—
411#886—42no—
412#884—24no—
413#884—24no—
414#883—24no—
415#67⋊C4—24no—
416#67⋊C4—24no—
417#67⋊C4—24no—
418#878—24no—
419C3×#95C2311yescharacteristic
420C3×#95C2311yescharacteristic
421C3×#95C2311yescharacteristic
422C3×#95C2311yescharacteristic
423C3×#95C2311yescharacteristic
424C3×#95C2311yescharacteristic
425C3×#95C2311yescharacteristic
426C3×#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C3⋊#95C2311yescharacteristic
436C3⋊#95C2311yescharacteristic
437C3⋊#95C2311yescharacteristic
438C3⋊#95C2311yescharacteristic
439C3⋊#95C2311yescharacteristic
440C3⋊#95C2311yescharacteristic
441C3⋊#95C2311yescharacteristic
442C3⋊#95C2311yescharacteristic
443C3⋊#95C2311yescharacteristic
444C3⋊#95C2311yescharacteristic
445C22×#41—31no—
446C22×#41—31no—
447C22×#41—31no—
448C22×#41C2×D311yescharacteristic
449#547—68no—
450#547—68no—
451#547—68no—
452#532—68no—
453C2×C4⋊Q8—31no—
454C2×C4⋊Q8—31no—
455C2×C4⋊Q8—31no—
456C2×C4⋊Q8—31no—
457C2×#127—31no—
458C2×#124—31no—
459C2×#124—31no—
460C2×#123—31no—
461C2×#123—31no—
462C2×#123—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×#123C2×D311yescharacteristic
472C2×#123C2×D311yescharacteristic
473C2×C22⋊Q8—31no—
474C2×C22⋊Q8—31no—
475C2×C22⋊Q8—31no—
476C2×C22⋊Q8—31no—
477C2×C22⋊Q8—31no—
478C2×C22⋊Q8—31no—
479C2×#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×C4×D4—31no—
490C2×C4×D4—31no—
491C2×C4×D4—31no—
492C2×C4×D4—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—
500C22×C4⋊C4—31no—
501C22×C4⋊C4—31no—
502C22×C4⋊C4—31no—
503C22×C4⋊C4—31no—
504C22×C4⋊C4—31no—
505C22×C4⋊C4—31no—
506C22×C4⋊C4C2×D311yescharacteristic
507C22×C42—31no—
508#399—31no—
509#399—31no—
510#399—31no—
511#399—31no—
512#398—31no—
513#398—31no—
514#397—31no—
515#397—31no—
516#396—31no—
517#396—31no—
518#396—31no—
519#396—31no—
520#395—31no—
521#395—31no—
522#395—31no—
523#395—31no—
524#395C2×D311yescharacteristic
525#395C2×D311yescharacteristic
526#394—31no—
527#394—31no—
528#394—31no—
529#394—31no—
530#394—31no—
531#394—31no—
532#394—31no—
533#394—31no—
534#394C2×D311yescharacteristic
535#394C2×D311yescharacteristic
536#393—31no—
537#393—31no—
538#392—31no—
539#392—31no—
540#390—31no—
541#390—31no—
542#390—31no—
543#390—31no—
544#389—31no—
545#389—31no—
546#389—31no—
547#389—31no—
548#389—31no—
549#389—31no—
550#389—31no—
551#389—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#388—31no—
561#388—31no—
562#387—31no—
563#387—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#386C2×D311yescharacteristic
574#386C2×D311yescharacteristic
575#385—31no—
576#385—31no—
577#385—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#385C2×D311yescharacteristic
587#385C2×D311yescharacteristic
588#385C2×D311yescharacteristic
589#385C2×D311yescharacteristic
590#384—31no—
591#384—31no—
592#381C2×D311yescharacteristic
593#380—31no—
594#380—31no—
595#380—31no—
596C4×C4⋊C4—31no—
597C4×C4⋊C4—31no—
598C4×C4⋊C4—31no—
599C4×C22⋊C4—31no—
600C4×C22⋊C4—31no—
601C4×C22⋊C4—31no—
602C2×#95—31no—
603C2×#95—31no—
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C24×C3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C23×D3C2411yescharacteristic
610C3×#41—416no—
611C2×C3×Q8—22no—
612C2×C3×Q8—22no—
613C2×C3×Q8—41no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—41no—
622C2×C3×D4C2×D414yes—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4C2×D414yes—
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—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×#67C2×D414yes—
675C2×#67C2×D414yes—
676C2×#67C2×D414yes—
677C22×Dic3—22no—
678C22×Dic3—22no—
679C22×Dic3—22no—
680C22×Dic3—22no—
681C22×Dic3—22no—
682C22×Dic3—22no—
683C22×Dic3—22no—
684C22×Dic3—22no—
685C22×Dic3—22no—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—22no—
690C22×Dic3—41no—
691C22×Dic3—41no—
692C22×Dic3—41no—
693C22×Dic3—41no—
694C22×Dic3C2×D414yes—
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708#237—416no—
709#235—416no—
710#235—416no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—22no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
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—22no—
734C2×C4×D3—22no—
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×Dic6—22no—
742C2×Dic6—22no—
743C2×Dic6—22no—
744C2×Dic6—22no—
745C2×Dic6—22no—
746C2×Dic6—22no—
747C2×Dic6—41no—
748C2×Dic6—41no—
749C2×Dic6—41no—
750C3×C4⋊C4—22no—
751C3×C4⋊C4—22no—
752C3×C4⋊C4—22no—
753C3×C4⋊C4—22no—
754C3×C4⋊C4—22no—
755C3×C4⋊C4—22no—
756C3×C4⋊C4—41no—
757C3×C4⋊C4—41no—
758C3×C22⋊C4—22no—
759C3×C22⋊C4—22no—
760C3×C22⋊C4—22no—
761C3×C22⋊C4—22no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—41no—
765C3×C22⋊C4—41no—
766C3×C22⋊C4—41no—
767C3×C22⋊C4—41no—
768#217—22no—
769#217—22no—
770#217—22no—
771#217—22no—
772#217—22no—
773#217—22no—
774#217—22no—
775#217C2×D414yes—
776#217C2×D414yes—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4C2×D414yes—
798(C2×D3)⋊C4C2×D414yes—
799(C2×D3)⋊C4C2×D414yes—
800C4⋊Dic3—22no—
801C4⋊Dic3—22no—
802C4⋊Dic3—22no—
803C4⋊Dic3—22no—
804C4⋊Dic3—41no—
805C4⋊Dic3—41no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—22no—
817Dic3⋊C4—22no—
818Dic3⋊C4—22no—
819Dic3⋊C4—22no—
820Dic3⋊C4—22no—
821Dic3⋊C4—22no—
822Dic3⋊C4—22no—
823Dic3⋊C4—22no—
824Dic3⋊C4—22no—
825Dic3⋊C4—22no—
826Dic3⋊C4—22no—
827Dic3⋊C4—22no—
828Dic3⋊C4—41no—
829Dic3⋊C4C2×D414yes—
830Dic3⋊C4C2×D414yes—
831Dic3⋊C4C2×D414yes—
832Dic3⋊C4#4114yescomplemented
833C4×Dic3—22no—
834C4×Dic3—22no—
835C4×Dic3—22no—
836C4×Dic3—22no—
837C4×Dic3—22no—
838C4×Dic3—22no—
839C4×Dic3—22no—
840C4×Dic3—22no—
841C4×Dic3—22no—
842C2×#41—24no—
843C2×#41—24no—
844C2×#41—42no—
845C2×#41—64no—
846C2×#41—64no—
847C2×#41—64no—
848C2×#41—64no—
849C2×#41—64no—
850C2×#41—64no—
851C2×#41—122no—
852C2×#41—122no—
853C2×#41—122no—
854C22×Q8—31no—
855C22×Q8—31no—
856C22×Q8—31no—
857C22×Q8C22×D311yescharacteristic
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4C22×D311yescharacteristic
871C22×D4C22×D311yescharacteristic
872C22×D4C22×D311yescharacteristic
873C23×C4—31no—
874C23×C4—31no—
875C23×C4—31no—
876C23×C4—31no—
877C23×C4—31no—
878C23×C4—31no—
879C23×C4—31no—
880C23×C4—31no—
881C23×C4—31no—
882C23×C4—31no—
883C23×C4—31no—
884C23×C4—31no—
885C23×C4—31no—
886C23×C4C22×D311yescharacteristic
887C23×C4C22×D311yescharacteristic
888C23×C4C22×D311yescharacteristic
889C23×C4C22×D311yescharacteristic
890C23×C4C22×D311yescharacteristic
891C4⋊Q8—64no—
892C4⋊Q8—64no—
893C4⋊Q8—64no—
894C4⋊Q8—64no—
895#127—64no—
896#124—64no—
897#124—64no—
898#123—24no—
899#123—38no—
900#123—42no—
901#123—64no—
902#123—64no—
903#123—64no—
904#123—64no—
905#123—64no—
906#123—64no—
907#123—64no—
908#123—64no—
909#123—64no—
910#123—122no—
911C22⋊Q8—64no—
912C22⋊Q8—64no—
913C22⋊Q8—64no—
914C22⋊Q8—64no—
915C22⋊Q8—64no—
916C22⋊Q8—64no—
917#121—38no—
918#121—64no—
919#121—64no—
920#121—64no—
921#121—64no—
922#121—64no—
923#121—64no—
924#121—64no—
925#121—64no—
926#121—64no—
927C4×D4—64no—
928C4×D4—64no—
929C4×D4—64no—
930C4×D4—64no—
931C4×D4—64no—
932C4×D4—64no—
933C4×D4—64no—
934C4×D4—64no—
935C4×D4—64no—
936C4×D4—64no—
937C4×D4—64no—
938C2×C4⋊C4—24no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—31no—
964C2×C4⋊C4—31no—
965C2×C4⋊C4—31no—
966C2×C4⋊C4—31no—
967C2×C4⋊C4—31no—
968C2×C4⋊C4—31no—
969C2×C4⋊C4—31no—
970C2×C4⋊C4—31no—
971C2×C4⋊C4—31no—
972C2×C4⋊C4—64no—
973C2×C4⋊C4—64no—
974C2×C4⋊C4—64no—
975C2×C4⋊C4—64no—
976C2×C4⋊C4—64no—
977C2×C4⋊C4—64no—
978C2×C4⋊C4C22×D311yescharacteristic
979C2×C4⋊C4C22×D311yescharacteristic
980C2×C4⋊C4C22×D311yescharacteristic
981C2×C4⋊C4C22×D311yescharacteristic
982C2×C4⋊C4C22×D311yescharacteristic
983C2×C4⋊C4C22×D311yescharacteristic
984C2×C4⋊C4C22×D311yescharacteristic
985C2×C4⋊C4C22×D311yescharacteristic
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⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C42—31no—
1029C2×C42—31no—
1030C2×C42—31no—
1031C2×C42—31no—
1032C2×C42—31no—
1033C2×C42—31no—
1034C2×C42—31no—
1035C2×C42—31no—
1036C2×C42—31no—
1037C2×C42—64no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95C22×D311yescharacteristic
1057#95C22×D311yescharacteristic
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3C22×D412yes—
1082C23×C3C22×D412yes—
1083C23×C3C22×D412yes—
1084C23×C3H(5,𝔽2)12yes—
1085C23×C3C2511yescharacteristic
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×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×D3C22×D412yes—
1106C22×D3C22×D412yes—
1107C3×Q8—44no—
1108C3×D4—28no—
1109C3×D4—44no—
1110C3×D4—44no—
1111C2×C3×C4—28no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—44no—
1145C2×C3×C4—44no—
1146C2×C3×C4—44no—
1147C2×C3×C4—44no—
1148C2×C3×C4C22×D412yes—
1149C2×C3×C4C22×D412yes—
1150C2×C3×C4C22×D412yes—
1151C2×C3×C4C2×#4112yes—
1152#67—28no—
1153#67—28no—
1154#67—28no—
1155#67—44no—
1156#67—44no—
1157#67—44no—
1158#67—44no—
1159#67—44no—
1160#67—44no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—28no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—44no—
1192C2×Dic3—44no—
1193C2×Dic3—44no—
1194C2×Dic3—44no—
1195C2×Dic3—44no—
1196C2×Dic3C22×D412yes—
1197C2×Dic3C22×D412yes—
1198C2×Dic3C22×D412yes—
1199C2×Dic3C22×D412yes—
1200C2×Dic3C22×D412yes—
1201C2×Dic3C22×D412yes—
1202C2×Dic3C2×#4112yes—
1203C2×Dic3C2×#4112yes—
1204C2×Dic32−1+412yes—
1205C2×Dic32−1+412yes—
1206D12—44no—
1207D12—44no—
1208D12—44no—
1209C4×D3—44no—
1210C4×D3—44no—
1211C4×D3—44no—
1212C4×D3—44no—
1213C4×D3—44no—
1214C4×D3—44no—
1215C4×D3—44no—
1216Dic6—44no—
1217Dic6—44no—
1218Dic6—44no—
1219C24—31no—
1220C24—31no—
1221C24—31no—
1222C24C23×D311yescharacteristic
1223C24C23×D311yescharacteristic
1224C24C23×D311yescharacteristic
1225#41—416no—
1226#41—1216no—
1227#41—1216no—
1228#41—1216no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—41no—
1232C2×Q8—62no—
1233C2×Q8—62no—
1234C2×Q8—62no—
1235C2×Q8—62no—
1236C2×Q8—62no—
1237C2×Q8—62no—
1238C2×Q8—121no—
1239C2×Q8—121no—
1240C2×Q8—121no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—34no—
1249C2×D4—34no—
1250C2×D4—34no—
1251C2×D4—41no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4D3×D414yes—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—31no—
1298C22×C4—34no—
1299C22×C4—31no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—31no—
1307C22×C4—31no—
1308C22×C4—31no—
1309C22×C4—31no—
1310C22×C4—31no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—62no—
1315C22×C4—62no—
1316C22×C4—62no—
1317C22×C4—62no—
1318C22×C4—62no—
1319C22×C4—62no—
1320C22×C4—62no—
1321C22×C4—62no—
1322C22×C4—62no—
1323C22×C4—62no—
1324C22×C4—62no—
1325C22×C4—62no—
1326C22×C4—62no—
1327C22×C4—62no—
1328C22×C4—62no—
1329C22×C4—62no—
1330C22×C4—62no—
1331C22×C4—62no—
1332C22×C4—62no—
1333C22×C4—62no—
1334C22×C4—62no—
1335C22×C4—62no—
1336C22×C4—62no—
1337C22×C4—62no—
1338C22×C4—62no—
1339C22×C4—62no—
1340C22×C4—62no—
1341C22×C4—62no—
1342C22×C4—121no—
1343C22×C4—121no—
1344C22×C4—121no—
1345C22×C4—121no—
1346C22×C4—121no—
1347C22×C4—121no—
1348C22×C4—121no—
1349C22×C4—121no—
1350C22×C4—121no—
1351C22×C4—121no—
1352C22×C4D3×D414yes—
1353C22×C4C23×D311yescharacteristic
1354C22×C4C23×D311yescharacteristic
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C22×C4C23×D311yescharacteristic
1358C22×C4C23×D311yescharacteristic
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C22×C4C23×D311yescharacteristic
1362C22×C4C23×D311yescharacteristic
1363C22×C4C23×D311yescharacteristic
1364C22×C4C23×D311yescharacteristic
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—34no—
1372C4⋊C4—34no—
1373C4⋊C4—34no—
1374C4⋊C4—34no—
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—62no—
1378C4⋊C4—62no—
1379C4⋊C4—62no—
1380C4⋊C4—62no—
1381C4⋊C4—62no—
1382C4⋊C4—62no—
1383C4⋊C4—62no—
1384C4⋊C4—62no—
1385C4⋊C4—62no—
1386C4⋊C4—62no—
1387C4⋊C4—62no—
1388C4⋊C4—62no—
1389C4⋊C4—62no—
1390C4⋊C4—62no—
1391C4⋊C4—62no—
1392C4⋊C4—62no—
1393C4⋊C4—62no—
1394C4⋊C4—62no—
1395C4⋊C4—62no—
1396C4⋊C4—62no—
1397C4⋊C4—62no—
1398C4⋊C4—62no—
1399C4⋊C4—62no—
1400C4⋊C4—62no—
1401C4⋊C4—62no—
1402C4⋊C4—62no—
1403C4⋊C4—121no—
1404C4⋊C4—121no—
1405C4⋊C4—121no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—34no—
1413C22⋊C4—34no—
1414C22⋊C4—34no—
1415C22⋊C4—34no—
1416C22⋊C4—34no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
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—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4—121no—
1448C42—62no—
1449C42—62no—
1450C42—62no—
1451C42—62no—
1452C42—62no—
1453C42—62no—
1454C42—62no—
1455C42—62no—
1456C42—62no—
1457C22×C3—22no—
1458C22×C3—22no—
1459C22×C3—22no—
1460C22×C3—22no—
1461C22×C3—22no—
1462C22×C3—22no—
1463C22×C3—22no—
1464C22×C3—22no—
1465C22×C3—22no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3D4214yes—
1478C22×C3C23×D411yescharacteristic
1479C22×C3C23×D411yescharacteristic
1480C22×C3C22×#4111yescharacteristic
1481C22×C3C2×H(5,𝔽2)11yescharacteristic
1482C22×C3C2×2−1+411yescharacteristic
1483C22×C3C2×2−1+411yescharacteristic
1484C22×C3#58511yescharacteristic
1485C2×D3—22no—
1486C2×D3—22no—
1487C2×D3—22no—
1488C2×D3—22no—
1489C2×D3—22no—
1490C2×D3—22no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C3×C4—22no—
1507C3×C4—22no—
1508C3×C4—22no—
1509C3×C4—22no—
1510C3×C4—41no—
1511C3×C4—41no—
1512C3×C4—41no—
1513C3×C4—41no—
1514C3×C4—41no—
1515C3×C4—41no—
1516C3×C4—41no—
1517C3×C4—41no—
1518Dic3—22no—
1519Dic3—22no—
1520Dic3—22no—
1521Dic3—22no—
1522Dic3—22no—
1523Dic3—22no—
1524Dic3—22no—
1525Dic3—41no—
1526Dic3—41no—
1527Dic3—41no—
1528Dic3—41no—
1529Dic3—41no—
1530Dic3#54714yescomplemented
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—32no—
1549C23—32no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23C2×D3×D412yes—
1570C23C2×D3×D412yes—
1571C23C2×D3×D412yes—
1572C23#100412yes—
1573C23C24×D311yescharacteristic
1574Q8—44no—
1575Q8—124no—
1576Q8—124no—
1577Q8—124no—
1578D4—28no—
1579D4—44no—
1580D4—44no—
1581D4—68no—
1582D4—68no—
1583D4—68no—
1584D4—124no—
1585D4—124no—
1586D4—124no—
1587D4—124no—
1588D4—124no—
1589D4—124no—
1590D4—124no—
1591D4—124no—
1592D4—124no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—28no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—32no—
1627C2×C4—32no—
1628C2×C4—32no—
1629C2×C4—32no—
1630C2×C4—32no—
1631C2×C4—32no—
1632C2×C4—32no—
1633C2×C4—32no—
1634C2×C4—32no—
1635C2×C4—32no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—68no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—61no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—124no—
1671C2×C4—124no—
1672C2×C4—124no—
1673C2×C4—124no—
1674C2×C4—124no—
1675C2×C4—124no—
1676C2×C4—124no—
1677C2×C4—124no—
1678C2×C4—124no—
1679C2×C4—124no—
1680C2×C4—124no—
1681C2×C4—124no—
1682C2×C4C2×D3×D412yes—
1683C2×C4C2×D3×D412yes—
1684C2×C4C2×D3×D412yes—
1685C2×C4D3×#4112yes—
1686C2×C3—24no—
1687C2×C3—42no—
1688C2×C3—81no—
1689C2×C3C2×D4211yescharacteristic
1690C2×C3C2×#54711yescharacteristic
1691C2×C3D4×#4111yescharacteristic
1692C2×C3#348911yescharacteristic
1693C2×C3#349911yescharacteristic
1694C2×C3#352211yescharacteristic
1695C2×C3#355911yescharacteristic
1696D3—42no—
1697D3—42no—
1698D3—81no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—62no—
1720C22—62no—
1721C22—62no—
1722C22—62no—
1723C22—62no—
1724C22—62no—
1725C22—121no—
1726C22—121no—
1727C22—121no—
1728C22—121no—
1729C22—121no—
1730C22—121no—
1731C22—121no—
1732C22—121no—
1733C22—121no—
1734C22—121no—
1735C22—121no—
1736C22—121no—
1737C22—121no—
1738C22—121no—
1739C22—121no—
1740C22#559014yes—
1741C22C22×D3×D411yescharacteristic
1742C22C22×D3×D411yescharacteristic
1743C22C2×#100411yescharacteristic
1744C22C2×D3×#4111yescharacteristic
1745C22#596411yescharacteristic
1746C22D3×2−1+411yescharacteristic
1747C22D3×2−1+411yescharacteristic
1748C4—22no—
1749C4—22no—
1750C4—22no—
1751C4—22no—
1752C4—34no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—62no—
1762C4—62no—
1763C4—62no—
1764C4—62no—
1765C4—62no—
1766C4—62no—
1767C4—62no—
1768C4—121no—
1769C4—121no—
1770C4—121no—
1771C4—121no—
1772C4—121no—
1773C3#5911211yescharacteristic, complemented, Sylow
1774C2—24no—
1775C2—42no—
1776C2—81no—
1777C2—122no—
1778C2—122no—
1779C2—241no—
1780C2C2×#559011yescharacteristic
1781C2#8603711yescharacteristic
1782C2#8634011yescharacteristic
1783C2#8667711yescharacteristic
1784C2#8668811yescharacteristic
1785C2#8669511yescharacteristic
1786C2D3×#54711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2406C2
hypercenter#2406D3
hypocenterC3#59112
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2406

Complements

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

NH ≅ G/Ntype
1. C2×#5824C2semidirect
2. C2×#5832C2semidirect
3. C2×#5655C2semidirect
4. C2×#5507C2semidirect
5. C3×#2406C2semidirect
6. #82859C2semidirect
7. #82848C2semidirect
8. #82847C2semidirect
9. C2×#4976C2semidirect
10. #77260C2semidirect
11. #77259C2semidirect
12. #77186C2semidirect
13. #77174C2semidirect
14. #77132C2semidirect
15. #77002C2semidirect
16. #76907C2semidirect
17. #76903C2semidirect
18. #74699C2semidirect
19. #74696C2semidirect
20. #74692C2semidirect
21. #74676C2semidirect
22. #74612C2semidirect
23. #74611C2semidirect
24. #74609C2semidirect
25. #74425C2semidirect
26. #74421C2semidirect
27. #74409C2semidirect
28. #74397C2semidirect
29. #74393C2semidirect
30. #74063C2semidirect
31. #74052C2semidirect
217. #2406D3semidirect
312. #939D4semidirect
320. #929D4semidirect
832. Dic3⋊C4#41semidirect
1530. Dic3#547semidirect
1773. C3#59112semidirect

Maximal subgroups

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

subgroupindex
C2×#58242
C2×#58322
C2×#56552
C2×#55072
C3×#24062
#828592
#828482
#828472
C2×#49762
#772602
#772592
#771862
#771742
#771322
#770022
#769072
#769032
#746992
#746962
#746922
#746762
#746122
#746112
#746092
#744252
#744212
#744092
#743972
#743932
#740632
#740522
#591123