Finite Group Databasebeta

← #11635422

Subgroups — #11635422

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×#5556C211yesmaximal, characteristic, complemented
2C2×#5547C211yesmaximal, characteristic
3C3×D4×C4⋊C4C211yesmaximal, characteristic, complemented
4#82398C211yesmaximal, characteristic, complemented
5#82356C211yesmaximal, characteristic, complemented
6#82355C211yesmaximal, characteristic, complemented
7#82354C211yesmaximal, characteristic, complemented
8#82192C211yesmaximal, characteristic, complemented
9C4⋊C4×#67C211yesmaximal, characteristic, complemented
10C2×#4989C211yesmaximal, characteristic, complemented
11#82173C211yesmaximal, characteristic, complemented
12#76269C211yesmaximal, characteristic, complemented
13#76225C211yesmaximal, characteristic, complemented
14#76222C211yesmaximal, characteristic, complemented
15#76026C211yesmaximal, characteristic, complemented
16#74608C211yesmaximal, characteristic, complemented
17#74604C211yesmaximal, characteristic, complemented
18D3×#385C211yesmaximal, characteristic, complemented
19#74538C211yesmaximal, characteristic, complemented
20#74416C211yesmaximal, characteristic, complemented
21#74411C211yesmaximal, characteristic, complemented
22#74406C211yesmaximal, characteristic, complemented
23#74395C211yesmaximal, characteristic, complemented
24#74372C211yesmaximal, characteristic, complemented
25#74326C211yesmaximal, characteristic, complemented
26#74043C211yesmaximal, characteristic, complemented
27#74022C211yesmaximal, characteristic, complemented
28#74018C211yesmaximal, characteristic, complemented
29#73897C211yesmaximal, characteristic, complemented
30#73785C211yesmaximal, characteristic, complemented
31#73772C211yesmaximal, characteristic, complemented
32#59107—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×C4×D4C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C2×C3×C4×D4C2211yescharacteristic
38C22×C3×C4⋊C4C2211yescharacteristic
39C22×C3×C4⋊C4C2211yescharacteristic, complemented
40C2×#939C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#935C2211yescharacteristic
43C2×#929C2211yescharacteristic
44C2×#929C2211yescharacteristic, complemented
45C2×C4×#67C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic
49C22×(C2×D3)⋊C4C2211yescharacteristic
50C22×(C2×D3)⋊C4C2211yescharacteristic
51C2×#924C2211yescharacteristic
52C22×Dic3⋊C4C2211yescharacteristic
53#5556—28no—
54#5547—28no—
55C2×#898C2211yescharacteristic
56C2×#896C2211yescharacteristic
57C2×#896C2211yescharacteristic
58C2×#896C2211yescharacteristic, complemented
59C2×#894C2211yescharacteristic
60C2×#894C2211yescharacteristic
61C2×D3×C4⋊C4C2211yescharacteristic
62C2×D3×C4⋊C4C2211yescharacteristic
63C2×#888C2211yescharacteristic, complemented
64C2×#886C2211yescharacteristic
65C2×#885C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#883C2211yescharacteristic
68C2×#883C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#878C2211yescharacteristic
73C2×#877C2211yescharacteristic
74C2×#876C2211yescharacteristic
75C2×C4×D12C2211yescharacteristic
76C2×#872C2211yescharacteristic
77C2×#872C2211yescharacteristic
78C3×#389C2211yescharacteristic, complemented
79C3×#389C2211yescharacteristic, complemented
80C3×#385C2211yescharacteristic
81C3×#385C2211yescharacteristic
82C3×#385C2211yescharacteristic, complemented
83C3×#385C2211yescharacteristic, complemented
84C3×#384C2211yescharacteristic, complemented
85C3×#380C2211yescharacteristic
86C3×#380C2211yescharacteristic, complemented
87C3×C4×C4⋊C4C2211yescharacteristic, complemented
88#5220C2211yescharacteristic
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic, complemented
93#5212C2211yescharacteristic, complemented
94#5211C2211yescharacteristic, complemented
95#5210C2211yescharacteristic
96#5210C2211yescharacteristic
97#5210C2211yescharacteristic, complemented
98#5210C2211yescharacteristic, complemented
99C2×C3⋊#95C2211yescharacteristic
100C2×C3⋊#95C2211yescharacteristic
101#4994C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4993C2211yescharacteristic, complemented
104#4993C2211yescharacteristic, complemented
105#4992C2211yescharacteristic
106#4991C2211yescharacteristic
107#4991C2211yescharacteristic
108#4991C2211yescharacteristic
109#4990C2211yescharacteristic
110#4990C2211yescharacteristic, complemented
111#4989C2211yescharacteristic
112#4989C2211yescharacteristic
113#4989C2211yescharacteristic
114#4989C2211yescharacteristic
115#4989C2211yescharacteristic
116#4989C2211yescharacteristic
117#4989C2211yescharacteristic
118#4989C2211yescharacteristic
119#4989C2211yescharacteristic
120#4989C2211yescharacteristic
121#4989C2211yescharacteristic
122#4989C2211yescharacteristic
123#4989C2211yescharacteristic, complemented
124#4989C2211yescharacteristic, complemented
125#4987C2211yescharacteristic
126#4987C2211yescharacteristic
127#4985C2211yescharacteristic, complemented
128#4983C2211yescharacteristic, complemented
129#4983C2211yescharacteristic, complemented
130#4983C2211yescharacteristic, complemented
131#4983C2211yescharacteristic, complemented
132#4982C2211yescharacteristic, complemented
133#4981C2211yescharacteristic, complemented
134#4980C2211yescharacteristic, complemented
135#4980C2211yescharacteristic, complemented
136#4979C2211yescharacteristic, complemented
137#4979C2211yescharacteristic, complemented
138#4979C2211yescharacteristic, complemented
139#4976C2211yescharacteristic, complemented
140#4976C2211yescharacteristic, complemented
141#4975C2211yescharacteristic, complemented
142Dic3×C4⋊C4C2211yescharacteristic, complemented
143#4972C2211yescharacteristic, complemented
144#4961C2211yescharacteristic, complemented
145#4959C2211yescharacteristic, complemented
146#4958C2211yescharacteristic
147#4957C2211yescharacteristic
148#4956C2211yescharacteristic
149#4953C2211yescharacteristic, complemented
150#4952C2211yescharacteristic, complemented
151#4952C2211yescharacteristic, complemented
152#4952C2211yescharacteristic, complemented
153#4950C2211yescharacteristic
154#4946C2211yescharacteristic
155#4943C2211yescharacteristic
156#4942C2211yescharacteristic
157Dic3×C22⋊C4C2211yescharacteristic
158#4940C2211yescharacteristic
159#4940C2211yescharacteristic, complemented
160#4940C2211yescharacteristic, complemented
161C4×(C2×D3)⋊C4C2211yescharacteristic
162#4933C2211yescharacteristic, complemented
163#4933C2211yescharacteristic, complemented
164#4933C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4675C2211yescharacteristic
167#4674C2211yescharacteristic
168#4674C2211yescharacteristic
169#4672C2211yescharacteristic
170#4669C2211yescharacteristic, complemented
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic
173#4666C2211yescharacteristic, complemented
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4664C2211yescharacteristic
178D3×#95C2211yescharacteristic
179D3×#95C2211yescharacteristic
180#4658C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4652C2211yescharacteristic, 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⋊C4D311yescharacteristic, complemented
219C2×#385—31no—
220C2×#385—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×#235—24no—
237C2×#235—42no—
238C2×#235—42no—
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×C4×D3—24no—
242C22×C4×D3—42no—
243C22×C4×D3—42no—
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C22×Dic6C2311yescharacteristic
255C3×C4×D4—24no—
256C3×C4×D4—24no—
257C3×C4×D4—24no—
258C2×C3×C4⋊C4—42no—
259C2×C3×C4⋊C4—42no—
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊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×C42C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290#939—24no—
291#937D418yes—
292#935—24no—
293#929—24no—
294#929—42no—
295C4×#67—24no—
296C4×#67—24no—
297C4×#67—24no—
298C4×#67—24no—
299C2×(C2×D3)⋊C4—24no—
300C2×(C2×D3)⋊C4—24no—
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
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
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333#924—24no—
334C2×Dic3⋊C4—42no—
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362#898—24no—
363#896—24no—
364#896—24no—
365#896—42no—
366#894—24no—
367#894—24no—
368D3×C4⋊C4—42no—
369D3×C4⋊C4—42no—
370#888—42no—
371#886—24no—
372#885—24no—
373#884—24no—
374#883—24no—
375#883—24no—
376#882—24no—
377D3×C22⋊C4—24no—
378D3×C22⋊C4—24no—
379#878—24no—
380#877—24no—
381#876—24no—
382C4×D12—24no—
383#872—24no—
384#872—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×C4—31no—
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×D4C2×D311yescharacteristic
454C2×C4×D4C2×D311yescharacteristic
455C2×C4×D4C2×D311yescharacteristic
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, complemented
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
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#389C2×D311yescharacteristic, complemented
509#389C2×D311yescharacteristic, complemented
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#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385C2×D311yescharacteristic
557#385C2×D311yescharacteristic
558#385C2×D311yescharacteristic, complemented
559#385C2×D311yescharacteristic, complemented
560#384—31no—
561#384C2×D311yescharacteristic, complemented
562#381—31no—
563#381—31no—
564#381—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380C2×D311yescharacteristic
570#380C2×D311yescharacteristic, complemented
571C4×C4⋊C4—31no—
572C4×C4⋊C4C2×D311yescharacteristic, complemented
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C2×#95—31no—
577C2×#95—31no—
578C2×#95—31no—
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3C2×D414yes—
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4C2×D414yes—
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—41no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67C2×D414yes—
637C2×#67C2×D414yes—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—41no—
646C22×Dic3—41no—
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660#235—416no—
661C2×D12—22no—
662C2×D12—22no—
663C2×D12—22no—
664C2×D12—22no—
665C2×D12—41no—
666C2×D12—41no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—416no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
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—22no—
706C3×C4⋊C4—22no—
707C3×C4⋊C4—22no—
708C3×C4⋊C4—41no—
709C3×C4⋊C4—41no—
710C3×C4⋊C4—41no—
711C3×C4⋊C4—41no—
712C3×C4⋊C4—41no—
713C3×C4⋊C4—41no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4#4114yescomplemented
720C3×C42—22no—
721C3×C42—22no—
722C3×C42—22no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—41no—
730#217C2×D414yes—
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—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4C2×D414yes—
755(C2×D3)⋊C4C2×D414yes—
756(C2×D3)⋊C4#4114yescomplemented
757C4⋊Dic3—22no—
758C4⋊Dic3—22no—
759C4⋊Dic3—22no—
760C4⋊Dic3—22no—
761C4⋊Dic3—22no—
762C4⋊Dic3—41no—
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—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785C4×Dic3—22no—
786C4×Dic3—22no—
787C4×Dic3—22no—
788C4×Dic3—22no—
789C4×Dic3—41no—
790C25—31no—
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×D4C22×D311yescharacteristic
803C23×C4—31no—
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—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—64no—
816C23×C4—122no—
817C23×C4—122no—
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—24no—
846C4×D4—24no—
847C4×D4—24no—
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—42no—
885C2×C4⋊C4—42no—
886C2×C4⋊C4—122no—
887C2×C4⋊C4—122no—
888C2×C4⋊C4—122no—
889C2×C4⋊C4C22×D311yescharacteristic
890C2×C4⋊C4C22×D311yescharacteristic
891C2×C4⋊C4C22×D311yescharacteristic
892C2×C4⋊C4C22×D311yescharacteristic
893C2×C4⋊C4C22×D311yescharacteristic
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—31no—
903C2×C22⋊C4—31no—
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⋊C4—64no—
939C2×C22⋊C4—64no—
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×C42C22×D311yescharacteristic
952C2×C42C22×D311yescharacteristic
953C2×C42C22×D311yescharacteristic
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#95—31no—
985#95—31no—
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—21no—
1001C23×C3—21no—
1002C23×C3C22×D412yes—
1003C23×C3C22×D412yes—
1004C23×C3C2×#4112yes—
1005C23×C32−1+412yes—
1006C23×C3C2511yescharacteristic
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—28no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—28no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—44no—
1027C22×D3—44no—
1028C22×D3—44no—
1029C22×D3—44no—
1030C22×D3—44no—
1031C22×D3C22×D412yes—
1032C22×D3C22×D412yes—
1033C22×D3C2×#4112yes—
1034C22×D32−1+412yes—
1035C3×D4—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—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—44no—
1071C2×C3×C4—44no—
1072C2×C3×C4—44no—
1073C2×C3×C4—44no—
1074C2×C3×C4—82no—
1075C2×C3×C4—82no—
1076C2×C3×C4C22×D412yes—
1077C2×C3×C4C2×#4112yes—
1078C2×C3×C4C2×#4112yes—
1079C2×C3×C4C2×#4112yes—
1080C2×C3×C4H(5,𝔽2)12yes—
1081#67—28no—
1082#67—44no—
1083#67—44no—
1084#67—44no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
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—44no—
1121C2×Dic3—44no—
1122C2×Dic3—44no—
1123C2×Dic3C22×D412yes—
1124C2×Dic3C22×D412yes—
1125C2×Dic3C2×#4112yes—
1126C2×Dic3H(5,𝔽2)12yes—
1127D12—44no—
1128D12—44no—
1129C4×D3—28no—
1130C4×D3—44no—
1131C4×D3—44no—
1132C4×D3—44no—
1133C4×D3—44no—
1134C4×D3—44no—
1135C4×D3—44no—
1136C4×D3—44no—
1137C4×D3—82no—
1138Dic6—44no—
1139Dic6—82no—
1140C24—31no—
1141C24—31no—
1142C24—34no—
1143C24—31no—
1144C24—62no—
1145C24—62no—
1146C24—62no—
1147C24—62no—
1148C24—121no—
1149C24—121no—
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—22no—
1160C2×D4—22no—
1161C2×D4—34no—
1162C2×D4—34no—
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—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4D3×D414yes—
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—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
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—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—1216no—
1246C22×C4—121no—
1247C22×C4—121no—
1248C22×C4C23×D311yescharacteristic
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—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
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—62no—
1294C4⋊C4—62no—
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—34no—
1308C22⋊C4—34no—
1309C22⋊C4—34no—
1310C22⋊C4—34no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
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—22no—
1343C42—22no—
1344C42—22no—
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—41no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3#54714yes—
1364C22×C3C23×D411yescharacteristic
1365C22×C3C22×#4111yescharacteristic
1366C22×C3C22×#4111yescharacteristic
1367C22×C3C2×H(5,𝔽2)11yescharacteristic
1368C22×C3C2×H(5,𝔽2)11yescharacteristic
1369C22×C3C2×2−1+411yescharacteristic
1370C22×C3C2×2−1+411yescharacteristic
1371C2×D3—22no—
1372C2×D3—22no—
1373C2×D3—22no—
1374C2×D3—22no—
1375C2×D3—22no—
1376C2×D3—22no—
1377C2×D3—22no—
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—416no—
1381C2×D3—41no—
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#54714yes—
1393C3×C4—22no—
1394C3×C4—22no—
1395C3×C4—22no—
1396C3×C4—22no—
1397C3×C4—22no—
1398C3×C4—41no—
1399C3×C4—41no—
1400C3×C4—41no—
1401C3×C4—41no—
1402C3×C4—41no—
1403C3×C4—41no—
1404C3×C4—41no—
1405C3×C4—41no—
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—21no—
1428C23—21no—
1429C23—32no—
1430C23—32no—
1431C23—32no—
1432C23—32no—
1433C23—68no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23—61no—
1441C23—61no—
1442C23—61no—
1443C23—61no—
1444C23—68no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—124no—
1453C23—124no—
1454C23—124no—
1455C23—124no—
1456C23—124no—
1457C23C2×#23512yes—
1458C23C2×D3×D412yes—
1459C23C2×D3×D412yes—
1460C23#100712yes—
1461C23C24×D311yescharacteristic
1462Q8—124no—
1463Q8—242no—
1464D4—28no—
1465D4—68no—
1466D4—124no—
1467D4—124no—
1468D4—124no—
1469D4—124no—
1470D4—124no—
1471C2×C4—21no—
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—21no—
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—68no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
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—82no—
1550C2×C4—82no—
1551C2×C4—124no—
1552C2×C4—124no—
1553C2×C4—124no—
1554C2×C4—124no—
1555C2×C4—124no—
1556C2×C4—124no—
1557C2×C4—124no—
1558C2×C4—124no—
1559C2×C4—124no—
1560C2×C4—124no—
1561C2×C4—242no—
1562C2×C4C2×#23512yes—
1563C2×C4C2×#23512yes—
1564C2×C4C2×D3×D412yes—
1565C2×C4#100412yes—
1566C2×C4D3×#4112yes—
1567C2×C3—24no—
1568C2×C3—42no—
1569C2×C3C2×#54711yescharacteristic
1570C2×C3C2×#54711yescharacteristic
1571C2×C3#348111yescharacteristic
1572C2×C3#348411yescharacteristic
1573C2×C3#352011yescharacteristic
1574C2×C3#352011yescharacteristic
1575C2×C3#353811yescharacteristic
1576D3—24no—
1577D3—42no—
1578D3—81no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—34no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—62no—
1594C22—62no—
1595C22—62no—
1596C22—62no—
1597C22—62no—
1598C22—62no—
1599C22—62no—
1600C22—62no—
1601C22—62no—
1602C22—1216no—
1603C22—121no—
1604C22—121no—
1605C22—121no—
1606C22—121no—
1607C22—121no—
1608C22—121no—
1609C22—121no—
1610C22—121no—
1611C22—121no—
1612C22—121no—
1613C22—121no—
1614C22#550714yes—
1615C22C22×#23511yescharacteristic
1616C22C22×D3×D411yescharacteristic
1617C22C2×#100411yescharacteristic
1618C22C2×#100711yescharacteristic
1619C22C2×D3×#4111yescharacteristic
1620C22D3×H(5,𝔽2)11yescharacteristic
1621C22D3×2−1+411yescharacteristic
1622C4—22no—
1623C4—22no—
1624C4—22no—
1625C4—22no—
1626C4—22no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
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—42no—
1651C2—64no—
1652C2—122no—
1653C2—241no—
1654C2C2×#550711yescharacteristic
1655C2#8578511yescharacteristic
1656C2#8590711yescharacteristic
1657C2#8662011yescharacteristic
1658C2D3×#54711yescharacteristic
1659C2#8676211yescharacteristic
1660C2#8693411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×D4×C4⋊C4C2
prime radicalC2×#5547C2
hypercenterD4×C4⋊C4D3
hypocenterC3#59107
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#5556C2semidirect
3. C3×D4×C4⋊C4C2semidirect
4. #82398C2semidirect
5. #82356C2semidirect
6. #82355C2semidirect
7. #82354C2semidirect
8. #82192C2semidirect
9. C4⋊C4×#67C2semidirect
10. C2×#4989C2semidirect
11. #82173C2semidirect
12. #76269C2semidirect
13. #76225C2semidirect
14. #76222C2semidirect
15. #76026C2semidirect
16. #74608C2semidirect
17. #74604C2semidirect
18. D3×#385C2semidirect
19. #74538C2semidirect
20. #74416C2semidirect
21. #74411C2semidirect
22. #74406C2semidirect
23. #74395C2semidirect
24. #74372C2semidirect
25. #74326C2semidirect
26. #74043C2semidirect
27. #74022C2semidirect
28. #74018C2semidirect
29. #73897C2semidirect
30. #73785C2semidirect
31. #73772C2semidirect
39. C22×C3×C4⋊C4C22semidirect
44. C2×#929C22semidirect
58. C2×#896C22semidirect
63. C2×#888C22semidirect
78. C3×#389C22semidirect
79. C3×#389C22semidirect
82. C3×#385C22semidirect
83. C3×#385C22semidirect
84. C3×#384C22semidirect
86. C3×#380C22semidirect
87. C3×C4×C4⋊C4C22semidirect
92. #5213C22semidirect
93. #5212C22semidirect
94. #5211C22semidirect
97. #5210C22semidirect
98. #5210C22semidirect
101. #4994C22semidirect
102. #4994C22semidirect
103. #4993C22semidirect
104. #4993C22semidirect
110. #4990C22semidirect
123. #4989C22semidirect
124. #4989C22semidirect
127. #4985C22semidirect
128. #4983C22semidirect
129. #4983C22semidirect
130. #4983C22semidirect
131. #4983C22semidirect
132. #4982C22semidirect
133. #4981C22semidirect
134. #4980C22semidirect
135. #4980C22semidirect
136. #4979C22semidirect
137. #4979C22semidirect
138. #4979C22semidirect
139. #4976C22semidirect
140. #4976C22semidirect
141. #4975C22semidirect
142. Dic3×C4⋊C4C22semidirect
143. #4972C22semidirect
144. #4961C22semidirect
145. #4959C22semidirect
149. #4953C22semidirect
150. #4952C22semidirect
151. #4952C22semidirect
152. #4952C22semidirect
159. #4940C22semidirect
160. #4940C22semidirect
162. #4933C22semidirect
163. #4933C22semidirect
164. #4933C22semidirect
165. #4928C22semidirect
170. #4669C22semidirect
173. #4666C22semidirect
180. #4658C22semidirect
181. #4657C22semidirect
182. #4657C22semidirect
183. #4656C22semidirect
184. #4654C22semidirect
185. #4654C22semidirect
186. #4652C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
218. D4×C4⋊C4D3semidirect
463. C22×C4⋊C4C2×D3semidirect
508. #389C2×D3semidirect
509. #389C2×D3semidirect
558. #385C2×D3semidirect
559. #385C2×D3semidirect
561. #384C2×D3semidirect
570. #380C2×D3semidirect
572. C4×C4⋊C4C2×D3semidirect
719. C3×C22⋊C4#41semidirect
756. (C2×D3)⋊C4#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×#55562
C2×#55472
C3×D4×C4⋊C42
#823982
#823562
#823552
#823542
#821922
C4⋊C4×#672
C2×#49892
#821732
#762692
#762252
#762222
#760262
#746082
#746042
D3×#3852
#745382
#744162
#744112
#744062
#743952
#743722
#743262
#740432
#740222
#740182
#738972
#737852
#737722
#591073