Finite Group Databasebeta

← #11226376

Subgroups — #11226376

Order 768.

2696 conjugacy classes of subgroups.

The subgroup lattice has 1830 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5669C211yesmaximal, characteristic, complemented
2C2×#5490C211yesmaximal, characteristic, complemented
3C3×#2472C211yesmaximal, characteristic, complemented
4#83003C211yesmaximal, characteristic, complemented
5#82779C211yesmaximal, characteristic, complemented
6#82766C211yesmaximal, characteristic, complemented
7#82596C211yesmaximal, characteristic, complemented
8#82588C211yesmaximal, characteristic, complemented
9#82128C211yesmaximal, characteristic, complemented
10#77474C211yesmaximal, characteristic, complemented
11#77459C211yesmaximal, characteristic, complemented
12#77111C211yesmaximal, characteristic, complemented
13#76948C211yesmaximal, characteristic, complemented
14#76903C211yesmaximal, characteristic, complemented
15#76896C211yesmaximal, characteristic, complemented
16#76826C211yesmaximal, characteristic, complemented
17#76792C211yesmaximal, characteristic, complemented
18#76353C211yesmaximal, characteristic, complemented
19#76347C211yesmaximal, characteristic, complemented
20#75930C211yesmaximal, characteristic, complemented
21#75916C211yesmaximal, characteristic, complemented
22#75502C211yesmaximal, characteristic, complemented
23#75479C211yesmaximal, characteristic, complemented
24#74823C211yesmaximal, characteristic, complemented
25#74807C211yesmaximal, characteristic, complemented
26#74700C211yesmaximal, characteristic, complemented
27#74679C211yesmaximal, characteristic, complemented
28#73837C211yesmaximal, characteristic, complemented
29#73819C211yesmaximal, characteristic, complemented
30#73535C211yesmaximal, characteristic, complemented
31#73454C211yesmaximal, characteristic, complemented
32#45018—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C2×C3×#124C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic, complemented
37C2×C3×#120C2211yescharacteristic
38C22×C3×C22⋊C4C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C2×#947C2211yescharacteristic, complemented
42C2×#946C2211yescharacteristic, complemented
43C2×#944C2211yescharacteristic, complemented
44C2×#940C2211yescharacteristic
45C2×#940C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic, complemented
48C2×#937C2211yescharacteristic
49C2×#935C2211yescharacteristic
50C2×#930C2211yescharacteristic
51C2×#929C2211yescharacteristic
52C2×C4×#67C2211yescharacteristic
53C2×C4×#67C2211yescharacteristic, complemented
54#5669—28no—
55C2×#896C2211yescharacteristic, complemented
56C2×#895C2211yescharacteristic, complemented
57C2×#885C2211yescharacteristic
58C2×#885C2211yescharacteristic
59C2×#885C2211yescharacteristic, complemented
60C2×#885C2211yescharacteristic, complemented
61#5490—28no—
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic, complemented
65C2×#883C2211yescharacteristic
66C2×#883C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic, complemented
71C2×#67⋊C4C2211yescharacteristic, complemented
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×#879C2211yescharacteristic, complemented
74C2×#878C2211yescharacteristic
75C2×#878C2211yescharacteristic, complemented
76C2×#877C2211yescharacteristic
77C2×#877C2211yescharacteristic
78C2×#876C2211yescharacteristic, complemented
79C2×C4×Dic6C2211yescharacteristic, complemented
80C2×C4×Dic6C2211yescharacteristic, complemented
81C3×#397C2211yescharacteristic
82C3×#394C2211yescharacteristic
83C3×#394C2211yescharacteristic, complemented
84C3×#393C2211yescharacteristic, complemented
85C3×#390C2211yescharacteristic, complemented
86C3×#388C2211yescharacteristic
87C3×#388C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic, complemented
90C3×#379C2211yescharacteristic
91C3×C4×C22⋊C4C2211yescharacteristic, complemented
92#5247C2211yescharacteristic
93#5231C2211yescharacteristic, complemented
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic, complemented
98#5221C2211yescharacteristic, complemented
99#5220C2211yescharacteristic, complemented
100#5213C2211yescharacteristic, complemented
101#5212C2211yescharacteristic, complemented
102#5210C2211yescharacteristic, complemented
103#4994C2211yescharacteristic, complemented
104#4993C2211yescharacteristic, complemented
105#4993C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4988C2211yescharacteristic, complemented
108#4988C2211yescharacteristic, complemented
109#4976C2211yescharacteristic, complemented
110#4976C2211yescharacteristic, complemented
111Dic3×C4⋊C4C2211yescharacteristic, complemented
112Dic3×C4⋊C4C2211yescharacteristic, complemented
113#4961C2211yescharacteristic
114#4961C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4960C2211yescharacteristic
117#4960C2211yescharacteristic
118#4960C2211yescharacteristic
119#4960C2211yescharacteristic, complemented
120#4960C2211yescharacteristic, complemented
121#4960C2211yescharacteristic, complemented
122#4960C2211yescharacteristic, complemented
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic
125#4959C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4959C2211yescharacteristic, complemented
128#4958C2211yescharacteristic, complemented
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic
135#4957C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4957C2211yescharacteristic, complemented
143#4957C2211yescharacteristic, complemented
144#4957C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4955C2211yescharacteristic
148#4955C2211yescharacteristic
149#4952C2211yescharacteristic
150#4952C2211yescharacteristic, complemented
151#4951C2211yescharacteristic
152#4949C2211yescharacteristic, complemented
153#4948C2211yescharacteristic, complemented
154#4947C2211yescharacteristic, complemented
155#4945C2211yescharacteristic
156#4945C2211yescharacteristic
157#4945C2211yescharacteristic, complemented
158#4945C2211yescharacteristic, complemented
159#4944C2211yescharacteristic, complemented
160Dic3×C22⋊C4C2211yescharacteristic
161#4940C2211yescharacteristic, complemented
162#4939C2211yescharacteristic, complemented
163#4939C2211yescharacteristic, complemented
164#4939C2211yescharacteristic, complemented
165C4×Dic3⋊C4C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4674C2211yescharacteristic, complemented
168#4673C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4672C2211yescharacteristic, complemented
171#4671C2211yescharacteristic, complemented
172#4669C2211yescharacteristic, complemented
173#4669C2211yescharacteristic, complemented
174#4669C2211yescharacteristic, complemented
175#4667C2211yescharacteristic, complemented
176#4667C2211yescharacteristic, complemented
177#4666C2211yescharacteristic, complemented
178#4666C2211yescharacteristic, complemented
179#4666C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#542—31no—
192#2714—31no—
193#2714—31no—
194#2696—31no—
195#2696—31no—
196#2678—31no—
197#2678—31no—
198#2670—31no—
199#2670—31no—
200#2554—31no—
201#2554—31no—
202#2548—31no—
203#2540—31no—
204#2540—31no—
205#2491—31no—
206#2472—31no—
207#2472D311yescharacteristic, complemented
208#2452—31no—
209#2448—31no—
210#2433—31no—
211#2431—31no—
212#2428—31no—
213#2418—31no—
214#2418—31no—
215#2414—31no—
216#2395—31no—
217#2366—31no—
218#2362—31no—
219#2341—31no—
220#2309—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67—24no—
230C22×#67—24no—
231C22×#67—42no—
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C2×#235—24no—
249C2×#235—24no—
250C2×#235—42no—
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C3×#124—24no—
263C3×C22⋊Q8—42no—
264C3×#120—42no—
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4—24no—
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C42C2311yescharacteristic
287C2×C3×C42C2311yescharacteristic
288#953—24no—
289#953—42no—
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305#947—42no—
306#946—24no—
307#944—24no—
308#940—24no—
309#940—42no—
310#939—24no—
311#939—42no—
312#937—42no—
313#935—24no—
314#930—24no—
315#929—24no—
316C4×#67—24no—
317C4×#67—42no—
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×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
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
378C2×C4×Dic3C2311yescharacteristic
379#896—42no—
380#895—42no—
381#885—24no—
382#885—24no—
383#885—24no—
384#885—42no—
385#884—24no—
386#884—24no—
387#884—42no—
388#883—24no—
389#883—24no—
390#882—24no—
391#882—42no—
392#67⋊C4—24no—
393#67⋊C4—24no—
394#67⋊C4—42no—
395D3×C22⋊C4—24no—
396#879—24no—
397#878—24no—
398#878D418yescomplemented
399#877—24no—
400#877—42no—
401#876—24no—
402C4×Dic6—24no—
403C4×Dic6—42no—
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C22×#41—31no—
427C23×D4—31no—
428#546—68no—
429#542—68no—
430C2×C4⋊Q8—31no—
431C2×#127—31no—
432C2×#127—31no—
433C2×#126—31no—
434C2×#126—31no—
435C2×#124—31no—
436C2×#124—31no—
437C2×#124—31no—
438C2×#124—31no—
439C2×#124—31no—
440C2×#124C2×D311yescharacteristic
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×C22⋊Q8C2×D311yescharacteristic, complemented
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120C2×D311yescharacteristic
463C2×C4×Q8—31no—
464C2×C4×Q8—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×C4×D4—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×#117—31no—
471C2×#117—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4C2×D311yescharacteristic
474#400—31no—
475#399—31no—
476#399—31no—
477#399—31no—
478#398—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397C2×D311yescharacteristic
484#396—31no—
485#396—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394C2×D311yescharacteristic
497#394C2×D311yescharacteristic, complemented
498#393—31no—
499#393—31no—
500#393—31no—
501#393C2×D311yescharacteristic, complemented
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#391—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#390—31no—
535#390—31no—
536#390—31no—
537#390C2×D311yescharacteristic, complemented
538#389—31no—
539#389—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388C2×D311yescharacteristic
551#388C2×D311yescharacteristic, complemented
552#387—31no—
553#387—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386C2×D311yescharacteristic, complemented
563#386C2×D311yescharacteristic, complemented
564#385—31no—
565#385—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#379—31no—
570#379—31no—
571#379—31no—
572#379C2×D311yescharacteristic
573C4×C4⋊C4—31no—
574C4×C4⋊C4—31no—
575C4×C4⋊C4—31no—
576C4×C4⋊C4—31no—
577C4×C4⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4C2×D311yescharacteristic, complemented
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3—41no—
588C24×C3—41no—
589C24×C3—41no—
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C24×C3C2411yescharacteristic
593C24×C3C2411yescharacteristic
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3C2411yescharacteristic
602C23×D3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C2×C3×Q8—22no—
606C2×C3×Q8—41no—
607C2×C3×Q8—41no—
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—416no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67#4114yes—
677C22×Dic3—22no—
678C22×Dic3—22no—
679C22×Dic3—22no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3C2×D414yes—
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695#235—416no—
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—41no—
710C2×D12—41no—
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—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—41no—
723C2×Dic6—22no—
724C2×Dic6—22no—
725C2×Dic6—22no—
726C2×Dic6—41no—
727C2×Dic6—41no—
728C2×Dic6C2×D414yes—
729C3×C4⋊C4—22no—
730C3×C4⋊C4—22no—
731C3×C4⋊C4—41no—
732C3×C22⋊C4—22no—
733C3×C22⋊C4—22no—
734C3×C22⋊C4—22no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—41no—
741C3×C22⋊C4—41no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4—41no—
744C3×C22⋊C4—41no—
745C3×C22⋊C4—41no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4C2×D414yes—
749C3×C42—22no—
750C3×C42—41no—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—22no—
757#217—22no—
758#217—41no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217—41no—
765#217C2×D414yes—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796C4⋊Dic3—22no—
797C4⋊Dic3—41no—
798C4⋊Dic3—41no—
799C4⋊Dic3C2×D414yes—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4C2×D414yes—
815Dic3⋊C4C2×D414yes—
816C4×Dic3—22no—
817C4×Dic3—22no—
818C4×Dic3—22no—
819C4×Dic3—22no—
820C4×Dic3—22no—
821C4×Dic3—22no—
822C4×Dic3—22no—
823C4×Dic3—22no—
824C4×Dic3—41no—
825C4×Dic3—41no—
826C4×Dic3—41no—
827C25—31no—
828C25C22×D311yescharacteristic
829C2×#41—64no—
830C2×#41—64no—
831C2×#41—122no—
832C22×Q8—31no—
833C22×Q8—31no—
834C22×Q8C22×D311yescharacteristic
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—64no—
855C22×D4—64no—
856C22×D4—122no—
857C22×D4C22×D311yescharacteristic
858C22×D4C22×D311yescharacteristic
859C22×D4C22×D311yescharacteristic
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4—31no—
865C23×C4—31no—
866C23×C4C22×D311yescharacteristic
867C23×C4C22×D311yescharacteristic
868C4⋊Q8—64no—
869#127—64no—
870#127—122no—
871#126—64no—
872#126—64no—
873#124—24no—
874#124—64no—
875#124—64no—
876#124—64no—
877#124—122no—
878#124—122no—
879#123—64no—
880#123—64no—
881#123—64no—
882#123—64no—
883C22⋊Q8—38no—
884C22⋊Q8—42no—
885C22⋊Q8—64no—
886C22⋊Q8—64no—
887C22⋊Q8—122no—
888#121—64no—
889#121—64no—
890#121—64no—
891#121—64no—
892#121—122no—
893#121—122no—
894#121—122no—
895#120—42no—
896#120—64no—
897#120—64no—
898#120—122no—
899#120—122no—
900#120—122no—
901C4×Q8—64no—
902C4×Q8—122no—
903C4×D4—64no—
904C4×D4—64no—
905C4×D4—64no—
906C4×D4—122no—
907C4×D4—122no—
908#117—64no—
909#117—122no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4C22×D311yescharacteristic
931C2×C4⋊C4C22×D311yescharacteristic
932C2×C4⋊C4C22×D311yescharacteristic
933C2×C22⋊C4—24no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—64no—
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C42—31no—
998C2×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42—31no—
1005C2×C42—31no—
1006C2×C42—31no—
1007C2×C42—31no—
1008C2×C42C22×D311yescharacteristic
1009C2×C42C22×D311yescharacteristic
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95C22×D311yescharacteristic
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—44no—
1059C23×C3—44no—
1060C23×C3—82no—
1061C23×C3—82no—
1062C23×C3—82no—
1063C23×C3—82no—
1064C23×C3—82no—
1065C23×C3C22×D412yes—
1066C23×C3C2×#4112yes—
1067C23×C3C2511yescharacteristic
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
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—44no—
1096C22×D3—44no—
1097C22×D3—82no—
1098C22×D3—82no—
1099C22×D3—82no—
1100C22×D3—82no—
1101C22×D3—82no—
1102C22×D3C2×#4112yes—
1103C3×Q8—82no—
1104C3×D4—82no—
1105C3×D4—82no—
1106C3×D4—82no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
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—44no—
1138C2×C3×C4—82no—
1139C2×C3×C4C22×D412yes—
1140C2×C3×C4C22×D412yes—
1141C2×C3×C4H(5,𝔽2)12yes—
1142#67—28no—
1143#67—44no—
1144#67—44no—
1145#67—44no—
1146#67—44no—
1147#67—44no—
1148#67—44no—
1149#67—44no—
1150#67—44no—
1151#67—82no—
1152#67—82no—
1153#67—82no—
1154#67—82no—
1155#67—82no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—28no—
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—21no—
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—82no—
1187C2×Dic3C22×D412yes—
1188C2×Dic3C22×D412yes—
1189C2×Dic3C22×D412yes—
1190C2×Dic3C22×D412yes—
1191C2×Dic3C2×#4112yes—
1192C2×Dic3H(5,𝔽2)12yes—
1193C2×Dic3H(5,𝔽2)12yes—
1194D12—44no—
1195D12—82no—
1196D12—82no—
1197D12—82no—
1198D12—82no—
1199C4×D3—44no—
1200C4×D3—44no—
1201C4×D3—82no—
1202C4×D3—82no—
1203Dic6—28no—
1204Dic6—82no—
1205C24—22no—
1206C24—22no—
1207C24—31no—
1208C24—31no—
1209C24—31no—
1210C24—31no—
1211C24—41no—
1212C24—41no—
1213C24—41no—
1214C24—41no—
1215C24—41no—
1216C24—62no—
1217C24—62no—
1218C24—121no—
1219C24—121no—
1220C24—121no—
1221C24—121no—
1222C24—121no—
1223C24C23×D311yescharacteristic
1224C24C23×D311yescharacteristic
1225C24C23×D311yescharacteristic
1226C24C23×D311yescharacteristic
1227#41—1216no—
1228C2×Q8—22no—
1229C2×Q8—34no—
1230C2×Q8—41no—
1231C2×Q8—41no—
1232C2×Q8—62no—
1233C2×Q8—62no—
1234C2×Q8—62no—
1235C2×Q8—121no—
1236C2×Q8—121no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—34no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
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—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—1216no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—31no—
1308C22×C4—34no—
1309C22×C4—31no—
1310C22×C4—31no—
1311C22×C4—31no—
1312C22×C4—31no—
1313C22×C4—31no—
1314C22×C4—31no—
1315C22×C4—31no—
1316C22×C4—31no—
1317C22×C4—31no—
1318C22×C4—31no—
1319C22×C4—31no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
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—121no—
1334C22×C4—121no—
1335C22×C4—121no—
1336C22×C4—121no—
1337C22×C4—121no—
1338C22×C4—121no—
1339C22×C4—121no—
1340C22×C4C23×D311yescharacteristic
1341C22×C4C23×D311yescharacteristic
1342C22×C4C23×D311yescharacteristic
1343C22×C4C23×D311yescharacteristic
1344C22×C4C23×D311yescharacteristic
1345C22×C4C23×D311yescharacteristic
1346C22×C4C23×D311yescharacteristic
1347C22×C4C23×D311yescharacteristic
1348C22×C4C23×D311yescharacteristic
1349C22×C4C23×D311yescharacteristic
1350C22×C4C23×D311yescharacteristic
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—34no—
1354C4⋊C4—34no—
1355C4⋊C4—34no—
1356C4⋊C4—41no—
1357C4⋊C4—62no—
1358C4⋊C4—62no—
1359C4⋊C4—62no—
1360C4⋊C4—62no—
1361C4⋊C4—62no—
1362C4⋊C4—62no—
1363C4⋊C4—62no—
1364C4⋊C4—62no—
1365C4⋊C4—62no—
1366C4⋊C4—62no—
1367C4⋊C4—62no—
1368C4⋊C4—62no—
1369C4⋊C4—121no—
1370C4⋊C4—121no—
1371C4⋊C4—121no—
1372C4⋊C4—121no—
1373C4⋊C4—121no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—34no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4D3×D414yes—
1436C42—22no—
1437C42—41no—
1438C42—62no—
1439C42—62no—
1440C42—62no—
1441C42—62no—
1442C42—62no—
1443C42—62no—
1444C42—62no—
1445C42—62no—
1446C42—121no—
1447C42—121no—
1448C42—121no—
1449C22×C3—22no—
1450C22×C3—22no—
1451C22×C3—22no—
1452C22×C3—22no—
1453C22×C3—22no—
1454C22×C3—22no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3—41no—
1459C22×C3—41no—
1460C22×C3—41no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3—41no—
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×C3—88no—
1478C22×C3C23×D411yescharacteristic
1479C22×C3C22×#4111yescharacteristic
1480C22×C3C2×H(5,𝔽2)11yescharacteristic
1481C22×C3C2×H(5,𝔽2)11yescharacteristic
1482C22×C3C2×H(5,𝔽2)11yescharacteristic
1483C22×C3#58511yescharacteristic
1484C22×C3#58511yescharacteristic
1485C2×D3—22no—
1486C2×D3—22no—
1487C2×D3—22no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
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—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—88no—
1514C3×C4—22no—
1515C3×C4—22no—
1516C3×C4—22no—
1517C3×C4—41no—
1518C3×C4—41no—
1519C3×C4—41no—
1520C3×C4—41no—
1521C3×C4—41no—
1522C3×C4—41no—
1523C3×C4—41no—
1524C3×C4—41no—
1525Dic3—22no—
1526Dic3—22no—
1527Dic3—22no—
1528Dic3—22no—
1529Dic3—41no—
1530Dic3—41no—
1531Dic3—41no—
1532Dic3—41no—
1533Dic3—41no—
1534Dic3—41no—
1535Dic3—41no—
1536Dic3#54614yes—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—32no—
1564C23—44no—
1565C23—44no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—82no—
1594C23—82no—
1595C23—82no—
1596C23—82no—
1597C23—82no—
1598C23—124no—
1599C23—124no—
1600C23—242no—
1601C23—242no—
1602C23—242no—
1603C23—242no—
1604C23—242no—
1605C23C2×D3×D412yes—
1606C23D3×#4112yes—
1607C23C24×D311yescharacteristic
1608Q8—68no—
1609Q8—82no—
1610Q8—242no—
1611D4—68no—
1612D4—82no—
1613D4—82no—
1614D4—82no—
1615D4—124no—
1616D4—124no—
1617D4—124no—
1618D4—124no—
1619D4—124no—
1620D4—124no—
1621D4—124no—
1622D4—124no—
1623D4—124no—
1624D4—242no—
1625D4—242no—
1626D4—242no—
1627D4—242no—
1628D4—242no—
1629D4—242no—
1630D4—242no—
1631D4—242no—
1632D4—242no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—32no—
1664C2×C4—32no—
1665C2×C4—32no—
1666C2×C4—32no—
1667C2×C4—32no—
1668C2×C4—32no—
1669C2×C4—32no—
1670C2×C4—44no—
1671C2×C4—68no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—82no—
1702C2×C4—124no—
1703C2×C4—124no—
1704C2×C4—242no—
1705C2×C4—242no—
1706C2×C4—242no—
1707C2×C4C2×D3×D412yes—
1708C2×C4C2×D3×D412yes—
1709C2×C4#100412yes—
1710C2×C3—42no—
1711C2×C3—42no—
1712C2×C3—81no—
1713C2×C3—81no—
1714C2×C3C2×#54611yescharacteristic
1715C2×C3#348711yescharacteristic
1716C2×C3#349811yescharacteristic
1717C2×C3#351311yescharacteristic
1718C2×C3#351411yescharacteristic
1719C2×C3#354611yescharacteristic
1720C2×C3#355811yescharacteristic
1721D3—42no—
1722D3—81no—
1723D3—81no—
1724D3—81no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—62no—
1754C22—62no—
1755C22—62no—
1756C22—88no—
1757C22—121no—
1758C22—121no—
1759C22—121no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—121no—
1779C22—121no—
1780C22—121no—
1781C22—121no—
1782C22—248no—
1783C22C22×D3×D411yescharacteristic
1784C22C2×#100411yescharacteristic
1785C22C2×D3×#4111yescharacteristic
1786C22#596411yescharacteristic
1787C22#596411yescharacteristic
1788C22D3×H(5,𝔽2)11yescharacteristic
1789C22D3×H(5,𝔽2)11yescharacteristic
1790C4—22no—
1791C4—22no—
1792C4—22no—
1793C4—34no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—62no—
1803C4—62no—
1804C4—62no—
1805C4—62no—
1806C4—121no—
1807C4—121no—
1808C4—121no—
1809C4—121no—
1810C4—121no—
1811C4—121no—
1812C4—121no—
1813C3#4501811yescharacteristic, complemented, Sylow
1814C2—42no—
1815C2—42no—
1816C2—81no—
1817C2—81no—
1818C2—122no—
1819C2—241no—
1820C2—241no—
1821C2—241no—
1822C2#8602311yescharacteristic
1823C2#8607711yescharacteristic
1824C2#8640111yescharacteristic
1825C2#8660811yescharacteristic
1826C2#8665511yescharacteristic
1827C2D3×#54611yescharacteristic
1828C2#8679611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2472C2
hypercenter#2472D3
hypocenterC3#45018
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#5669C2semidirect
2. C2×#5490C2semidirect
3. C3×#2472C2semidirect
4. #83003C2semidirect
5. #82779C2semidirect
6. #82766C2semidirect
7. #82596C2semidirect
8. #82588C2semidirect
9. #82128C2semidirect
10. #77474C2semidirect
11. #77459C2semidirect
12. #77111C2semidirect
13. #76948C2semidirect
14. #76903C2semidirect
15. #76896C2semidirect
16. #76826C2semidirect
17. #76792C2semidirect
18. #76353C2semidirect
19. #76347C2semidirect
20. #75930C2semidirect
21. #75916C2semidirect
22. #75502C2semidirect
23. #75479C2semidirect
24. #74823C2semidirect
25. #74807C2semidirect
26. #74700C2semidirect
27. #74679C2semidirect
28. #73837C2semidirect
29. #73819C2semidirect
30. #73535C2semidirect
31. #73454C2semidirect
36. C2×C3×C22⋊Q8C22semidirect
41. C2×#947C22semidirect
42. C2×#946C22semidirect
43. C2×#944C22semidirect
47. C2×#939C22semidirect
53. C2×C4×#67C22semidirect
55. C2×#896C22semidirect
56. C2×#895C22semidirect
59. C2×#885C22semidirect
60. C2×#885C22semidirect
64. C2×#884C22semidirect
70. C2×#67⋊C4C22semidirect
71. C2×#67⋊C4C22semidirect
73. C2×#879C22semidirect
75. C2×#878C22semidirect
78. C2×#876C22semidirect
79. C2×C4×Dic6C22semidirect
80. C2×C4×Dic6C22semidirect
83. C3×#394C22semidirect
84. C3×#393C22semidirect
85. C3×#390C22semidirect
87. C3×#388C22semidirect
88. C3×#386C22semidirect
89. C3×#386C22semidirect
91. C3×C4×C22⋊C4C22semidirect
93. #5231C22semidirect
97. #5223C22semidirect
98. #5221C22semidirect
99. #5220C22semidirect
100. #5213C22semidirect
101. #5212C22semidirect
102. #5210C22semidirect
103. #4994C22semidirect
104. #4993C22semidirect
105. #4993C22semidirect
106. #4989C22semidirect
107. #4988C22semidirect
108. #4988C22semidirect
109. #4976C22semidirect
110. #4976C22semidirect
111. Dic3×C4⋊C4C22semidirect
112. Dic3×C4⋊C4C22semidirect
114. #4961C22semidirect
115. #4961C22semidirect
119. #4960C22semidirect
120. #4960C22semidirect
121. #4960C22semidirect
122. #4960C22semidirect
125. #4959C22semidirect
126. #4959C22semidirect
127. #4959C22semidirect
128. #4958C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
142. #4957C22semidirect
143. #4957C22semidirect
144. #4957C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
150. #4952C22semidirect
152. #4949C22semidirect
153. #4948C22semidirect
154. #4947C22semidirect
157. #4945C22semidirect
158. #4945C22semidirect
159. #4944C22semidirect
161. #4940C22semidirect
162. #4939C22semidirect
163. #4939C22semidirect
164. #4939C22semidirect
165. C4×Dic3⋊C4C22semidirect
166. #4675C22semidirect
167. #4674C22semidirect
168. #4673C22semidirect
169. #4672C22semidirect
170. #4672C22semidirect
171. #4671C22semidirect
172. #4669C22semidirect
173. #4669C22semidirect
174. #4669C22semidirect
175. #4667C22semidirect
176. #4667C22semidirect
177. #4666C22semidirect
178. #4666C22semidirect
179. #4666C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4658C22semidirect
184. #4657C22semidirect
185. #4655C22semidirect
186. #4653C22semidirect
187. #4649C22semidirect
188. #4649C22semidirect
189. #4646C22semidirect
207. #2472D3semidirect
398. #878D4semidirect
449. C2×C22⋊Q8C2×D3semidirect
497. #394C2×D3semidirect
501. #393C2×D3semidirect
537. #390C2×D3semidirect
551. #388C2×D3semidirect
562. #386C2×D3semidirect
563. #386C2×D3semidirect
582. C4×C22⋊C4C2×D3semidirect
1813. C3#45018semidirect

Maximal subgroups

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

subgroupindex
C2×#56692
C2×#54902
C3×#24722
#830032
#827792
#827662
#825962
#825882
#821282
#774742
#774592
#771112
#769482
#769032
#768962
#768262
#767922
#763532
#763472
#759302
#759162
#755022
#754792
#748232
#748072
#747002
#746792
#738372
#738192
#735352
#734542
#450183