Finite Group Databasebeta

← #11635427

Subgroups — #11635427

Order 768.

2660 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5791C211yesmaximal, characteristic
2C2×#5495C211yesmaximal, characteristic, complemented
3C2×C3×#385C211yesmaximal, characteristic, complemented
4C2×#5210C211yesmaximal, characteristic, complemented
5#82195C211yesmaximal, characteristic, complemented
6C4⋊C4×#67C211yesmaximal, characteristic, complemented
7#82173C211yesmaximal, characteristic, complemented
8#82171C211yesmaximal, characteristic, complemented
9#82108C211yesmaximal, characteristic, complemented
10#82107C211yesmaximal, characteristic, complemented
11#82099C211yesmaximal, characteristic, complemented
12#74640C211yesmaximal, characteristic, complemented
13#74600C211yesmaximal, characteristic, complemented
14#74538C211yesmaximal, characteristic, complemented
15#74533C211yesmaximal, characteristic, complemented
16#74532C211yesmaximal, characteristic, complemented
17#74450C211yesmaximal, characteristic, complemented
18#74449C211yesmaximal, characteristic, complemented
19#74421C211yesmaximal, characteristic, complemented
20#74418C211yesmaximal, characteristic, complemented
21#74416C211yesmaximal, characteristic, complemented
22#74414C211yesmaximal, characteristic, complemented
23#74411C211yesmaximal, characteristic, complemented
24#74410C211yesmaximal, characteristic, complemented
25#74408C211yesmaximal, characteristic, complemented
26#74395C211yesmaximal, characteristic, complemented
27#74393C211yesmaximal, characteristic, complemented
28#73375C211yesmaximal, characteristic, complemented
29#73350C211yesmaximal, characteristic, complemented
30#73349C211yesmaximal, characteristic, complemented
31#73337C211yesmaximal, characteristic, complemented
32#59107—31nomaximal, Sylow
33C24×C3×C4C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C22×C3×C4⋊C4C2211yescharacteristic
36C22×C3×C4⋊C4C2211yescharacteristic
37C22×C3×C22⋊C4C2211yescharacteristic
38C22×C3×C22⋊C4C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C22×#217C2211yescharacteristic
42C22×#217C2211yescharacteristic
43#5791—28no—
44C2×#930C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×#929C2211yescharacteristic
47C2×#929C2211yescharacteristic
48C2×#929C2211yescharacteristic
49C2×#929C2211yescharacteristic
50C2×C4×#67C2211yescharacteristic
51C2×C4×#67C2211yescharacteristic
52C2×C4×#67C2211yescharacteristic
53C2×C4×#67C2211yescharacteristic
54C2×C4×#67C2211yescharacteristic
55C2×C4×#67C2211yescharacteristic
56C2×#926C2211yescharacteristic
57C2×#926C2211yescharacteristic
58C2×#924C2211yescharacteristic
59C2×#924C2211yescharacteristic
60C2×#924C2211yescharacteristic
61C22×Dic3⋊C4C2211yescharacteristic
62C22×Dic3⋊C4C2211yescharacteristic
63C2×#896C2211yescharacteristic, complemented
64C2×#894C2211yescharacteristic, complemented
65C2×D3×C4⋊C4C2211yescharacteristic, complemented
66C2×#888C2211yescharacteristic, complemented
67#5495—28no—
68C2×#886C2211yescharacteristic
69C2×#886C2211yescharacteristic
70C2×#885C2211yescharacteristic
71C2×#883C2211yescharacteristic
72C2×#67⋊C4C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic
74C2×#879C2211yescharacteristic
75C2×#879C2211yescharacteristic
76C2×#878C2211yescharacteristic
77C2×#877C2211yescharacteristic
78C3×#385C2211yescharacteristic
79C3×#385C2211yescharacteristic
80C3×#385C2211yescharacteristic
81C3×#385C2211yescharacteristic
82C3×#385C2211yescharacteristic
83C3×#385C2211yescharacteristic
84C3×#385C2211yescharacteristic
85C3×#385C2211yescharacteristic
86C2×C3×#95C2211yescharacteristic
87C2×C3×#95C2211yescharacteristic
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92#5212C2211yescharacteristic
93#5212C2211yescharacteristic
94#5211C2211yescharacteristic
95#5210C2211yescharacteristic
96#5210C2211yescharacteristic
97#5210C2211yescharacteristic
98#5210C2211yescharacteristic
99#5210C2211yescharacteristic
100#5210C2211yescharacteristic
101#5210C2211yescharacteristic
102#5210C2211yescharacteristic
103#5210C2211yescharacteristic
104#5210C2211yescharacteristic
105C4×#217C2211yescharacteristic
106C2×C3⋊#95C2211yescharacteristic
107C2×C3⋊#95C2211yescharacteristic
108#4994C2211yescharacteristic, complemented
109#4993C2211yescharacteristic, complemented
110#4993C2211yescharacteristic, complemented
111#4992C2211yescharacteristic, complemented
112#4991C2211yescharacteristic, complemented
113#4990C2211yescharacteristic, complemented
114#4989C2211yescharacteristic, complemented
115#4989C2211yescharacteristic, complemented
116#4989C2211yescharacteristic, complemented
117#4989C2211yescharacteristic, complemented
118#4987C2211yescharacteristic, complemented
119#4984C2211yescharacteristic, complemented
120#4983C2211yescharacteristic, complemented
121#4982C2211yescharacteristic, complemented
122#4982C2211yescharacteristic, complemented
123#4982C2211yescharacteristic, complemented
124#4980C2211yescharacteristic, complemented
125#4980C2211yescharacteristic, complemented
126#4979C2211yescharacteristic, complemented
127#4979C2211yescharacteristic, complemented
128#4979C2211yescharacteristic, complemented
129#4976C2211yescharacteristic, complemented
130#4976C2211yescharacteristic, complemented
131#4976C2211yescharacteristic, complemented
132#4975C2211yescharacteristic, complemented
133#4975C2211yescharacteristic, complemented
134Dic3×C4⋊C4C2211yescharacteristic, complemented
135#4972C2211yescharacteristic, complemented
136#4961C2211yescharacteristic
137#4961C2211yescharacteristic
138#4959C2211yescharacteristic
139#4959C2211yescharacteristic
140#4958C2211yescharacteristic
141#4958C2211yescharacteristic
142#4958C2211yescharacteristic
143#4958C2211yescharacteristic
144#4957C2211yescharacteristic
145#4956C2211yescharacteristic
146#4953C2211yescharacteristic
147#4953C2211yescharacteristic
148#4952C2211yescharacteristic
149#4952C2211yescharacteristic
150#4950C2211yescharacteristic
151#4946C2211yescharacteristic
152#4945C2211yescharacteristic
153#4944C2211yescharacteristic
154#4943C2211yescharacteristic
155#4942C2211yescharacteristic
156#4942C2211yescharacteristic
157Dic3×C22⋊C4C2211yescharacteristic
158#4676C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4675C2211yescharacteristic, complemented
161#4674C2211yescharacteristic, complemented
162#4672C2211yescharacteristic, complemented
163#4670C2211yescharacteristic, complemented
164#4669C2211yescharacteristic, complemented
165#4669C2211yescharacteristic, complemented
166#4668C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4667C2211yescharacteristic, complemented
169#4666C2211yescharacteristic, complemented
170#4665C2211yescharacteristic, complemented
171#4664C2211yescharacteristic, complemented
172#4661C2211yescharacteristic, complemented
173#4660C2211yescharacteristic, complemented
174#4658C2211yescharacteristic, complemented
175#4657C2211yescharacteristic, complemented
176#4657C2211yescharacteristic, complemented
177#4657C2211yescharacteristic, complemented
178#4656C2211yescharacteristic, complemented
179#4655C2211yescharacteristic, complemented
180#4655C2211yescharacteristic, complemented
181#4654C2211yescharacteristic, complemented
182#4654C2211yescharacteristic, complemented
183#4652C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#525—31no—
192#2724—31no—
193#2718—31no—
194#2718—31no—
195#2717—31no—
196#2478—31no—
197#2478—31no—
198#2449—31no—
199#2449—31no—
200#2443—31no—
201#2443—31no—
202#2440—31no—
203#2440—31no—
204#2438—31no—
205#2438—31no—
206#2432—31no—
207#2425—31no—
208#2425—31no—
209#2419—31no—
210#2419—31no—
211#2412—31no—
212#2412—31no—
213#2406—31no—
214#2359—31no—
215#2359—31no—
216#2358—31no—
217D4×C4⋊C4—31no—
218D4×C4⋊C4—31no—
219C2×#385—31no—
220C2×#385D311yescharacteristic, complemented
221C25×C3C2311yescharacteristic
222C23×C3×C4—24no—
223C23×C3×C4—42no—
224C23×C3×C4—42no—
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
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
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C2×#235—24no—
246C2×#235—42no—
247C2×#235—42no—
248C22×D12C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C22×Dic6C2311yescharacteristic
255C2×C3×C4⋊C4—42no—
256C2×C3×C4⋊C4—42no—
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4—24no—
266C2×C3×C22⋊C4—24no—
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275#953—24no—
276#953D418yes—
277C2×#217—24no—
278C2×#217—24no—
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293#930—24no—
294#930—24no—
295#929—24no—
296#929—24no—
297#929—24no—
298#929—24no—
299C4×#67—24no—
300C4×#67—24no—
301C4×#67—24no—
302C4×#67—24no—
303C4×#67—24no—
304C4×#67—24no—
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323#926—24no—
324#926—24no—
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334#924—24no—
335#924—24no—
336#924—24no—
337C2×Dic3⋊C4—42no—
338C2×Dic3⋊C4—42no—
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371#896—42no—
372#894—42no—
373D3×C4⋊C4—42no—
374#888—42no—
375#886—24no—
376#886—24no—
377#885—24no—
378#883—24no—
379#67⋊C4—24no—
380#67⋊C4—24no—
381#879—24no—
382#879—24no—
383#878—24no—
384#877—24no—
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
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
423C22×#41—31no—
424C24×C4C2×D311yescharacteristic
425#551—68no—
426C2×C4⋊Q8—31no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#124—31no—
430#525—68no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×#117—31no—
457C2×#117—31no—
458C2×#117—31no—
459C22×C4⋊C4—31no—
460C22×C4⋊C4—31no—
461C22×C4⋊C4—31no—
462C22×C4⋊C4C2×D311yescharacteristic
463C22×C4⋊C4C2×D311yescharacteristic
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4C2×D311yescharacteristic
467C22×C22⋊C4C2×D311yescharacteristic
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#398—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#396—31no—
489#396—31no—
490#395—31no—
491#395—31no—
492#395—31no—
493#395—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#391—31no—
501#390—31no—
502#389—31no—
503#389—31no—
504#389—31no—
505#389—31no—
506#389—31no—
507#389—31no—
508#389—31no—
509#389—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#385—31no—
535#385—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385C2×D311yescharacteristic
553#385C2×D311yescharacteristic
554#385C2×D311yescharacteristic
555#385C2×D311yescharacteristic
556#385C2×D311yescharacteristic
557#385C2×D311yescharacteristic
558#385C2×D311yescharacteristic
559#385C2×D311yescharacteristic
560#384—31no—
561#384—31no—
562#381—31no—
563#381—31no—
564#381—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571C4×C4⋊C4—31no—
572C4×C4⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C2×#95—31no—
577C2×#95—31no—
578C2×#95C2×D311yescharacteristic
579C2×#95C2×D311yescharacteristic
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—22no—
584C24×C3—41no—
585C24×C3—41no—
586C24×C3C2×D414yes—
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C22×C3×C4—22no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—22no—
610C22×C3×C4—22no—
611C22×C3×C4—22no—
612C22×C3×C4—41no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
615C22×C3×C4—41no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—416no—
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
634C22×C3×C4C2411yescharacteristic
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—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67C2×D414yes—
651C2×#67C2×D414yes—
652C2×#67C2×D414yes—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—22no—
659C22×Dic3—22no—
660C22×Dic3—22no—
661C22×Dic3—41no—
662C22×Dic3—41no—
663C22×Dic3—41no—
664C22×Dic3—41no—
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679#235—416no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—41no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×Dic6—22no—
696C2×Dic6—22no—
697C2×Dic6—22no—
698C2×Dic6—41no—
699C2×Dic6—41no—
700C2×Dic6—41no—
701C3×C4⋊C4—22no—
702C3×C4⋊C4—22no—
703C3×C4⋊C4—22no—
704C3×C4⋊C4—22no—
705C3×C4⋊C4—41no—
706C3×C4⋊C4—41no—
707C3×C4⋊C4—41no—
708C3×C4⋊C4—41no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4#4114yescomplemented
717#217—22no—
718#217—22no—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—22no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217C2×D414yes—
728#217C2×D414yes—
729#217C2×D414yes—
730#217#4114yescomplemented
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—22no—
754C4⋊Dic3—22no—
755C4⋊Dic3—22no—
756C4⋊Dic3—41no—
757C4⋊Dic3—41no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782C4×Dic3—22no—
783C4×Dic3—22no—
784C4×Dic3—22no—
785C4×Dic3—22no—
786C4×Dic3—22no—
787C4×Dic3—22no—
788C4×Dic3—22no—
789C4×Dic3—41no—
790C25C22×D311yescharacteristic
791C2×#41—64no—
792C2×#41—122no—
793C2×#41—122no—
794C22×Q8—31no—
795C22×Q8—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—31no—
803C23×C4—24no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—42no—
813C23×C4—42no—
814C23×C4C22×D311yescharacteristic
815C23×C4C22×D311yescharacteristic
816C23×C4C22×D311yescharacteristic
817C23×C4C22×D311yescharacteristic
818C23×C4C22×D311yescharacteristic
819C23×C4C22×D311yescharacteristic
820C23×C4C22×D311yescharacteristic
821C23×C4C22×D311yescharacteristic
822C23×C4C22×D311yescharacteristic
823C23×C4C22×D311yescharacteristic
824C4⋊Q8—122no—
825#126—64no—
826#126—64no—
827#124—64no—
828#123—64no—
829#123—64no—
830#123—64no—
831#123—64no—
832#123—64no—
833#123—64no—
834#123—64no—
835#123—122no—
836C22⋊Q8—64no—
837C22⋊Q8—64no—
838C22⋊Q8—64no—
839C22⋊Q8—64no—
840C22⋊Q8—122no—
841#121—64no—
842#121—64no—
843#120—38no—
844#120—64no—
845C4×D4—64no—
846C4×D4—64no—
847C4×D4—64no—
848C4×D4—64no—
849C4×D4—64no—
850C4×D4—64no—
851C4×D4—64no—
852C4×D4—64no—
853#117—64no—
854#117—64no—
855#117—64no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—42no—
890C2×C4⋊C4—42no—
891C2×C4⋊C4—122no—
892C2×C4⋊C4—122no—
893C2×C4⋊C4—122no—
894C2×C4⋊C4C22×D311yescharacteristic
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C4⋊C4C22×D311yescharacteristic
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C4⋊C4C22×D311yescharacteristic
901C2×C4⋊C4C22×D311yescharacteristic
902C2×C22⋊C4—24no—
903C2×C22⋊C4—24no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—64no—
937C2×C22⋊C4—64no—
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C42—31no—
947C2×C42—31no—
948C2×C42—31no—
949C2×C42—31no—
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—28no—
1001C23×C3—28no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—44no—
1009C23×C3—44no—
1010C23×C3—44no—
1011C23×C3—44no—
1012C23×C3—44no—
1013C23×C3C22×D412yes—
1014C23×C3C22×D412yes—
1015C23×C3C22×D412yes—
1016C23×C3C2×#4112yes—
1017C23×C3C2×#4112yes—
1018C23×C32−1+412yes—
1019C23×C32−1+412yes—
1020C23×C3C2511yescharacteristic
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3C22×D412yes—
1035C2×C3×C4—28no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—44no—
1069C2×C3×C4—44no—
1070C2×C3×C4—44no—
1071C2×C3×C4—44no—
1072C2×C3×C4—44no—
1073C2×C3×C4—44no—
1074C2×C3×C4—44no—
1075C2×C3×C4—44no—
1076C2×C3×C4—82no—
1077C2×C3×C4C2×#4112yes—
1078C2×C3×C4C2×#4112yes—
1079C2×C3×C4H(5,𝔽2)12yes—
1080C2×C3×C4H(5,𝔽2)12yes—
1081#67—28no—
1082#67—28no—
1083#67—44no—
1084#67—44no—
1085#67—44no—
1086#67—44no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—44no—
1125C2×Dic3—44no—
1126C2×Dic3—44no—
1127C2×Dic3—82no—
1128C2×Dic3C22×D412yes—
1129C2×Dic3C22×D412yes—
1130C2×Dic3C22×D412yes—
1131C2×Dic3C2×#4112yes—
1132C2×Dic3C2×#4112yes—
1133D12—44no—
1134C4×D3—44no—
1135C4×D3—44no—
1136C4×D3—44no—
1137C4×D3—82no—
1138Dic6—44no—
1139Dic6—82no—
1140C24—22no—
1141C24—22no—
1142C24—22no—
1143C24—22no—
1144C24—31no—
1145C24—31no—
1146C24—41no—
1147C24—41no—
1148C24D3×D414yes—
1149C24C23×D311yescharacteristic
1150C24C23×D311yescharacteristic
1151C24C23×D311yescharacteristic
1152#41—1216no—
1153C2×Q8—62no—
1154C2×Q8—62no—
1155C2×Q8—62no—
1156C2×Q8—121no—
1157C2×Q8—121no—
1158C2×Q8—121no—
1159C2×D4—34no—
1160C2×D4—34no—
1161C2×D4—34no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—31no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—416no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—62no—
1235C22×C4—62no—
1236C22×C4—62no—
1237C22×C4—62no—
1238C22×C4—62no—
1239C22×C4—62no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
1247C22×C4—121no—
1248C22×C4—121no—
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C22×C4C23×D311yescharacteristic
1258C22×C4C23×D311yescharacteristic
1259C22×C4C23×D311yescharacteristic
1260C22×C4C23×D311yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—62no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—62no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—121no—
1294C4⋊C4—121no—
1295C4⋊C4—121no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C4⋊C4—121no—
1299C4⋊C4—121no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—34no—
1310C22⋊C4—34no—
1311C22⋊C4—34no—
1312C22⋊C4—34no—
1313C22⋊C4—62no—
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—121no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4#23514yescomplemented
1342C42—62no—
1343C42—62no—
1344C42—62no—
1345C42—62no—
1346C42—62no—
1347C42—62no—
1348C42—62no—
1349C42—121no—
1350C22×C3—22no—
1351C22×C3—22no—
1352C22×C3—22no—
1353C22×C3—22no—
1354C22×C3—22no—
1355C22×C3—22no—
1356C22×C3—22no—
1357C22×C3—22no—
1358C22×C3—22no—
1359C22×C3—22no—
1360C22×C3—22no—
1361C22×C3—22no—
1362C22×C3—22no—
1363C22×C3—22no—
1364C22×C3—22no—
1365C22×C3—416no—
1366C22×C3—41no—
1367C22×C3—41no—
1368C22×C3—41no—
1369C22×C3—41no—
1370C22×C3#54714yes—
1371C22×C3#54714yes—
1372C22×C3C23×D411yescharacteristic
1373C22×C3C22×#4111yescharacteristic
1374C22×C3C22×#4111yescharacteristic
1375C22×C3C2×H(5,𝔽2)11yescharacteristic
1376C22×C3C2×H(5,𝔽2)11yescharacteristic
1377C22×C3C2×2−1+411yescharacteristic
1378C22×C3C2×2−1+411yescharacteristic
1379C2×D3—22no—
1380C2×D3—22no—
1381C2×D3—22no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C3×C4—22no—
1394C3×C4—22no—
1395C3×C4—22no—
1396C3×C4—22no—
1397C3×C4—41no—
1398C3×C4—41no—
1399C3×C4—41no—
1400C3×C4—41no—
1401C3×C4—41no—
1402C3×C4—41no—
1403C3×C4—41no—
1404C3×C4—41no—
1405Dic3—22no—
1406Dic3—22no—
1407Dic3—22no—
1408Dic3—22no—
1409Dic3—22no—
1410Dic3—41no—
1411Dic3—41no—
1412Dic3—41no—
1413Dic3—41no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—28no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—28no—
1435C23—32no—
1436C23—44no—
1437C23—44no—
1438C23—44no—
1439C23—44no—
1440C23—44no—
1441C23—61no—
1442C23—61no—
1443C23—61no—
1444C23—61no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23C2×#23512yes—
1455C23C2×D3×D412yes—
1456C23C2×D3×D412yes—
1457C23C2×D3×D412yes—
1458C23#100712yes—
1459C23D3×#4112yes—
1460C23#101012yes—
1461C23C24×D311yescharacteristic
1462Q8—124no—
1463Q8—242no—
1464D4—68no—
1465D4—68no—
1466D4—124no—
1467D4—124no—
1468D4—124no—
1469D4—124no—
1470D4—124no—
1471C2×C4—28no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—32no—
1505C2×C4—32no—
1506C2×C4—32no—
1507C2×C4—32no—
1508C2×C4—32no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—44no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—82no—
1555C2×C4—124no—
1556C2×C4—124no—
1557C2×C4—124no—
1558C2×C4—124no—
1559C2×C4—124no—
1560C2×C4—124no—
1561C2×C4—242no—
1562C2×C4—242no—
1563C2×C4C2×#23512yes—
1564C2×C4C2×#23512yes—
1565C2×C4#100412yes—
1566C2×C4#100412yes—
1567C2×C3—24no—
1568C2×C3—24no—
1569C2×C3—42no—
1570C2×C3C2×#54711yescharacteristic
1571C2×C3C2×#54711yescharacteristic
1572C2×C3#348111yescharacteristic
1573C2×C3#348411yescharacteristic
1574C2×C3#352011yescharacteristic
1575C2×C3#352011yescharacteristic
1576C2×C3#353811yescharacteristic
1577D3—42no—
1578D3—81no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—416no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—62no—
1600C22—62no—
1601C22—62no—
1602C22—121no—
1603C22—121no—
1604C22—121no—
1605C22—121no—
1606C22—121no—
1607C22—121no—
1608C22—121no—
1609C22—121no—
1610C22—121no—
1611C22—121no—
1612C22—121no—
1613C22#550714yes—
1614C22#565514yes—
1615C22C22×#23511yescharacteristic
1616C22C22×D3×D411yescharacteristic
1617C22C2×#100411yescharacteristic
1618C22C2×#100411yescharacteristic
1619C22C2×#100711yescharacteristic
1620C22C2×D3×#4111yescharacteristic
1621C22C2×#101011yescharacteristic
1622C4—22no—
1623C4—22no—
1624C4—22no—
1625C4—22no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—62no—
1635C4—62no—
1636C4—62no—
1637C4—62no—
1638C4—62no—
1639C4—121no—
1640C4—121no—
1641C4—121no—
1642C4—121no—
1643C4—121no—
1644C4—121no—
1645C4—121no—
1646C4—121no—
1647C4—121no—
1648C3#5910711yescharacteristic, complemented, Sylow
1649C2—24no—
1650C2—24no—
1651C2—42no—
1652C2—122no—
1653C2—241no—
1654C2C2×#550711yescharacteristic
1655C2#8576711yescharacteristic
1656C2#8578511yescharacteristic
1657C2#8591911yescharacteristic
1658C2#8597311yescharacteristic
1659C2#8598711yescharacteristic
1660C2C2×#565511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#385C2
prime radicalC2×#5791C2
hypercenterC2×#385D3
hypocenterC3#59107
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
2. C2×#5495C2semidirect
3. C2×C3×#385C2semidirect
4. C2×#5210C2semidirect
5. #82195C2semidirect
6. C4⋊C4×#67C2semidirect
7. #82173C2semidirect
8. #82171C2semidirect
9. #82108C2semidirect
10. #82107C2semidirect
11. #82099C2semidirect
12. #74640C2semidirect
13. #74600C2semidirect
14. #74538C2semidirect
15. #74533C2semidirect
16. #74532C2semidirect
17. #74450C2semidirect
18. #74449C2semidirect
19. #74421C2semidirect
20. #74418C2semidirect
21. #74416C2semidirect
22. #74414C2semidirect
23. #74411C2semidirect
24. #74410C2semidirect
25. #74408C2semidirect
26. #74395C2semidirect
27. #74393C2semidirect
28. #73375C2semidirect
29. #73350C2semidirect
30. #73349C2semidirect
31. #73337C2semidirect
63. C2×#896C22semidirect
64. C2×#894C22semidirect
65. C2×D3×C4⋊C4C22semidirect
66. C2×#888C22semidirect
108. #4994C22semidirect
109. #4993C22semidirect
110. #4993C22semidirect
111. #4992C22semidirect
112. #4991C22semidirect
113. #4990C22semidirect
114. #4989C22semidirect
115. #4989C22semidirect
116. #4989C22semidirect
117. #4989C22semidirect
118. #4987C22semidirect
119. #4984C22semidirect
120. #4983C22semidirect
121. #4982C22semidirect
122. #4982C22semidirect
123. #4982C22semidirect
124. #4980C22semidirect
125. #4980C22semidirect
126. #4979C22semidirect
127. #4979C22semidirect
128. #4979C22semidirect
129. #4976C22semidirect
130. #4976C22semidirect
131. #4976C22semidirect
132. #4975C22semidirect
133. #4975C22semidirect
134. Dic3×C4⋊C4C22semidirect
135. #4972C22semidirect
158. #4676C22semidirect
159. #4675C22semidirect
160. #4675C22semidirect
161. #4674C22semidirect
162. #4672C22semidirect
163. #4670C22semidirect
164. #4669C22semidirect
165. #4669C22semidirect
166. #4668C22semidirect
167. #4668C22semidirect
168. #4667C22semidirect
169. #4666C22semidirect
170. #4665C22semidirect
171. #4664C22semidirect
172. #4661C22semidirect
173. #4660C22semidirect
174. #4658C22semidirect
175. #4657C22semidirect
176. #4657C22semidirect
177. #4657C22semidirect
178. #4656C22semidirect
179. #4655C22semidirect
180. #4655C22semidirect
181. #4654C22semidirect
182. #4654C22semidirect
183. #4652C22semidirect
184. #4652C22semidirect
185. #4649C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
220. C2×#385D3semidirect
716. C3×C22⋊C4#41semidirect
730. #217#41semidirect
1341. C22⋊C4#235semidirect
1648. C3#59107semidirect

Maximal subgroups

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

subgroupindex
C2×#57912
C2×#54952
C2×C3×#3852
C2×#52102
#821952
C4⋊C4×#672
#821732
#821712
#821082
#821072
#820992
#746402
#746002
#745382
#745332
#745322
#744502
#744492
#744212
#744182
#744162
#744142
#744112
#744102
#744082
#743952
#743932
#733752
#733502
#733492
#733372
#591073