Finite Group Databasebeta

← #10974342

Subgroups — #10974342

Order 768.

2802 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#525C211yesmaximal, characteristic, complemented
2C2×#5546C211yesmaximal, characteristic, complemented
3#84097C211yesmaximal, characteristic, complemented
4#84090C211yesmaximal, characteristic, complemented
5C4×#953C211yesmaximal, characteristic, complemented
6C2×#5210C211yesmaximal, characteristic, complemented
7#82898C211yesmaximal, characteristic, complemented
8#82897C211yesmaximal, characteristic, complemented
9#82854C211yesmaximal, characteristic, complemented
10#82851C211yesmaximal, characteristic, complemented
11#82817C211yesmaximal, characteristic, complemented
12#82768C211yesmaximal, characteristic, complemented
13#82764C211yesmaximal, characteristic, complemented
14#82762C211yesmaximal, characteristic, complemented
15#82660C211yesmaximal, characteristic, complemented
16#82657C211yesmaximal, characteristic, complemented
17#82655C211yesmaximal, characteristic, complemented
18#82651C211yesmaximal, characteristic, complemented
19#82586C211yesmaximal, characteristic, complemented
20#82585C211yesmaximal, characteristic, complemented
21#82583C211yesmaximal, characteristic, complemented
22#82581C211yesmaximal, characteristic, complemented
23#82419C211yesmaximal, characteristic, complemented
24#82418C211yesmaximal, characteristic, complemented
25#82388C211yesmaximal, characteristic, complemented
26#82387C211yesmaximal, characteristic, complemented
27#82327C211yesmaximal, characteristic, complemented
28#82326C211yesmaximal, characteristic, complemented
29#82324C211yesmaximal, characteristic, complemented
30#82285C211yesmaximal, characteristic, complemented
31#82258C211yesmaximal, characteristic, complemented
32#35353—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C24×C3×C4C2211yescharacteristic
35C22×#237C2211yescharacteristic
36C3×#525—28no—
37C2×C3×#123C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic
39C2×C3×C22⋊Q8C2211yescharacteristic
40C2×C3×C22⋊Q8C2211yescharacteristic
41C2×C3×#121C2211yescharacteristic
42C2×C3×#121C2211yescharacteristic
43C2×C3×#120C2211yescharacteristic
44C2×C3×#120C2211yescharacteristic
45C2×C3×C4×D4C2211yescharacteristic
46C2×C3×C4×D4C2211yescharacteristic
47C2×C3×C4×D4C2211yescharacteristic
48C2×C3×C4×D4C2211yescharacteristic
49C2×C3×#117C2211yescharacteristic
50C2×#953C2211yescharacteristic
51C22×#217C2211yescharacteristic
52C22×#217C2211yescharacteristic
53C2×#946C2211yescharacteristic, complemented
54C2×#939C2211yescharacteristic
55C2×#938C2211yescharacteristic
56C2×#935C2211yescharacteristic
57C2×#935C2211yescharacteristic
58C2×#935C2211yescharacteristic, complemented
59C2×D4×Dic3C2211yescharacteristic
60C2×C4×#67C2211yescharacteristic
61C2×C4×#67C2211yescharacteristic
62C2×C4×#67C2211yescharacteristic
63C2×C4×#67C2211yescharacteristic, complemented
64C22×Dic3⋊C4C2211yescharacteristic
65C22×Dic3⋊C4C2211yescharacteristic
66C22×Dic3⋊C4C2211yescharacteristic, complemented
67#5546—28no—
68C2×D3×C4⋊C4C2211yescharacteristic, complemented
69C2×#887C2211yescharacteristic, complemented
70C2×#67⋊C4C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic, complemented
72C2×#877C2211yescharacteristic
73C2×#877C2211yescharacteristic, complemented
74C2×#872C2211yescharacteristic, complemented
75C2×C4×Dic6C2211yescharacteristic, complemented
76#5247C2211yescharacteristic
77#5230C2211yescharacteristic, complemented
78#5230C2211yescharacteristic, complemented
79#5229C2211yescharacteristic, complemented
80#5223C2211yescharacteristic
81#5223C2211yescharacteristic
82#5223C2211yescharacteristic
83#5223C2211yescharacteristic, complemented
84#5222C2211yescharacteristic
85#5222C2211yescharacteristic
86#5222C2211yescharacteristic
87#5222C2211yescharacteristic
88#5222C2211yescharacteristic
89#5222C2211yescharacteristic, complemented
90#5221C2211yescharacteristic
91#5221C2211yescharacteristic
92#5221C2211yescharacteristic
93#5220C2211yescharacteristic
94#5220C2211yescharacteristic
95#5220C2211yescharacteristic
96#5220C2211yescharacteristic
97#5220C2211yescharacteristic
98#5220C2211yescharacteristic
99#5220C2211yescharacteristic
100#5220C2211yescharacteristic, complemented
101#5213C2211yescharacteristic
102#5213C2211yescharacteristic
103#5213C2211yescharacteristic
104#5213C2211yescharacteristic, complemented
105#5212C2211yescharacteristic, complemented
106#5211C2211yescharacteristic, complemented
107#5210C2211yescharacteristic
108#5210C2211yescharacteristic
109#5210C2211yescharacteristic
110#5210C2211yescharacteristic
111#5210C2211yescharacteristic
112#5210C2211yescharacteristic
113#5210C2211yescharacteristic
114#5210C2211yescharacteristic
115#5210C2211yescharacteristic
116#5210C2211yescharacteristic
117#5210C2211yescharacteristic
118#5210C2211yescharacteristic, complemented
119#5210C2211yescharacteristic, complemented
120#5210C2211yescharacteristic, complemented
121C4×#217C2211yescharacteristic
122C4×#217C2211yescharacteristic
123C4×#217C2211yescharacteristic
124C2×C3⋊#95C2211yescharacteristic
125C2×C3⋊#95C2211yescharacteristic
126#4994C2211yescharacteristic, complemented
127#4993C2211yescharacteristic, complemented
128#4989C2211yescharacteristic, complemented
129#4989C2211yescharacteristic, complemented
130#4989C2211yescharacteristic, complemented
131#4985C2211yescharacteristic, complemented
132#4982C2211yescharacteristic, complemented
133#4982C2211yescharacteristic, complemented
134#4982C2211yescharacteristic, complemented
135#4981C2211yescharacteristic, complemented
136#4980C2211yescharacteristic, complemented
137#4980C2211yescharacteristic, complemented
138#4979C2211yescharacteristic, complemented
139#4978C2211yescharacteristic, complemented
140#4978C2211yescharacteristic, complemented
141#4978C2211yescharacteristic, complemented
142#4978C2211yescharacteristic, complemented
143#4978C2211yescharacteristic, complemented
144#4976C2211yescharacteristic, complemented
145#4976C2211yescharacteristic, complemented
146#4972C2211yescharacteristic, complemented
147#4972C2211yescharacteristic, complemented
148#4961C2211yescharacteristic
149#4959C2211yescharacteristic, complemented
150#4958C2211yescharacteristic
151#4956C2211yescharacteristic
152#4956C2211yescharacteristic
153#4956C2211yescharacteristic
154#4956C2211yescharacteristic, complemented
155#4956C2211yescharacteristic, complemented
156#4953C2211yescharacteristic
157#4952C2211yescharacteristic, complemented
158#4951C2211yescharacteristic, complemented
159#4951C2211yescharacteristic, complemented
160#4950C2211yescharacteristic
161#4950C2211yescharacteristic
162#4949C2211yescharacteristic
163#4949C2211yescharacteristic, complemented
164#4948C2211yescharacteristic
165#4948C2211yescharacteristic
166#4948C2211yescharacteristic
167#4947C2211yescharacteristic
168#4947C2211yescharacteristic
169#4947C2211yescharacteristic, complemented
170#4946C2211yescharacteristic
171#4946C2211yescharacteristic, complemented
172#4946C2211yescharacteristic, complemented
173#4945C2211yescharacteristic, complemented
174#4945C2211yescharacteristic, complemented
175#4944C2211yescharacteristic
176#4944C2211yescharacteristic
177#4944C2211yescharacteristic
178#4944C2211yescharacteristic
179#4944C2211yescharacteristic
180#4944C2211yescharacteristic, complemented
181#4944C2211yescharacteristic, complemented
182#4943C2211yescharacteristic
183#4942C2211yescharacteristic
184#4940C2211yescharacteristic, complemented
185#4937C2211yescharacteristic, complemented
186#4936C2211yescharacteristic, complemented
187#4933C2211yescharacteristic, complemented
188#4933C2211yescharacteristic, complemented
189#4933C2211yescharacteristic, complemented
190C2×#525D311yescharacteristic, complemented
191C2×#520—31no—
192#2609—31no—
193#2600—31no—
194#2599—31no—
195#2598—31no—
196#2580—31no—
197#2579—31no—
198#2476—31no—
199#2470—31no—
200#2465—31no—
201#2458—31no—
202#2456—31no—
203#2455—31no—
204#2449—31no—
205#2449—31no—
206#2443—31no—
207#2443—31no—
208#2438—31no—
209#2430—31no—
210#2424—31no—
211#2418—31no—
212#2411—31no—
213#2407—31no—
214#2406—31no—
215#2404—31no—
216#2325—31no—
217#2322—31no—
218#2318—31no—
219C4×#120—31no—
220C2×#385—31no—
221C25×C3C2311yescharacteristic
222C2×C3×#41—24no—
223C2×C3×#41—42no—
224C2×C3×#41—42no—
225C22×C3×Q8C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C23×C3×C4—24no—
234C23×C3×C4—42no—
235C23×C3×C4—42no—
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C23×C3×C4C2311yescharacteristic
241C23×C3×C4C2311yescharacteristic
242C23×C3×C4C2311yescharacteristic
243C23×C3×C4C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C2×#237—24no—
256C2×#237—24no—
257C2×#237—24no—
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C3×#123—24no—
263C3×#123—24no—
264C3×C22⋊Q8—24no—
265C3×C22⋊Q8—24no—
266C3×#121—24no—
267C3×#121—24no—
268C3×#120—24no—
269C3×#120—24no—
270C3×C4×D4—24no—
271C3×C4×D4—24no—
272C3×C4×D4—24no—
273C3×C4×D4D418yescomplemented
274C3×#117—24no—
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C42C2311yescharacteristic
292C2×C3×C42C2311yescharacteristic
293#953—24no—
294C2×#217—24no—
295C2×#217—42no—
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325#946—42no—
326#939—24no—
327#938—42no—
328#935—24no—
329#935—42no—
330#935—42no—
331D4×Dic3—24no—
332C4×#67—24no—
333C4×#67—24no—
334C4×#67—42no—
335C4×#67—42no—
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×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×Dic3⋊C4—24no—
349C2×Dic3⋊C4—24no—
350C2×Dic3⋊C4—42no—
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×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379D3×C4⋊C4—24no—
380#887—24no—
381#67⋊C4—24no—
382#67⋊C4—24no—
383#877—24no—
384#877—24no—
385#872—24no—
386C4×Dic6—24no—
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—
424C22×#41C2×D311yescharacteristic
425C24×C4C2×D311yescharacteristic
426#525—28no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123C2×D311yescharacteristic
431C2×#123C2×D311yescharacteristic
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8C2×D311yescharacteristic
434C2×C22⋊Q8C2×D311yescharacteristic
435C2×#121—31no—
436C2×#121—31no—
437C2×#121C2×D311yescharacteristic
438C2×#121C2×D311yescharacteristic
439C2×#120—31no—
440C2×#120C2×D311yescharacteristic
441C2×#120C2×D311yescharacteristic
442#520—68no—
443C2×C4×Q8—31no—
444C2×C4×Q8—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4C2×D311yescharacteristic
453C2×C4×D4C2×D311yescharacteristic
454C2×C4×D4C2×D311yescharacteristic
455C2×C4×D4C2×D311yescharacteristic
456C2×#117—31no—
457C2×#117—31no—
458C2×#117—31no—
459C2×#117C2×D311yescharacteristic
460C22×C4⋊C4—31no—
461C22×C4⋊C4—31no—
462C22×C4⋊C4—31no—
463C22×C4⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466#400—31no—
467#399—31no—
468#399—31no—
469#399—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#397—31no—
475#397—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#395—31no—
481#395—31no—
482#395—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#393—31no—
492#393—31no—
493#393—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392—31no—
498#391—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#389—31no—
503#389—31no—
504#389—31no—
505#389—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—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#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#383—31no—
569#382—31no—
570#381—31no—
571#381—31no—
572#380—31no—
573#380—31no—
574#379—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C2×#95—31no—
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C3×#41—416no—
594C2×C3×Q8—22no—
595C2×C3×Q8—22no—
596C2×C3×Q8—41no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4C2×D414yes—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—416no—
641C22×C3×C4C2×D414yes—
642C22×C3×C4C2×D414yes—
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67#4114yescomplemented
668C22×Dic3—22no—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—22no—
676C22×Dic3—22no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3—41no—
683C22×Dic3—41no—
684C22×Dic3—41no—
685C22×Dic3#4114yescomplemented
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701#237—232no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×Dic6—22no—
712C2×Dic6—22no—
713C2×Dic6—22no—
714C3×C4⋊C4—22no—
715C3×C4⋊C4—22no—
716C3×C4⋊C4—22no—
717C3×C4⋊C4—22no—
718C3×C4⋊C4—22no—
719C3×C4⋊C4C2×D414yes—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4C2×D414yes—
729C3×C22⋊C4C2×D414yes—
730C3×C42—22no—
731C3×C42C2×D414yes—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—22no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—22no—
743#217—22no—
744#217—22no—
745#217—22no—
746#217—22no—
747#217—22no—
748#217—22no—
749#217—41no—
750#217—41no—
751#217—41no—
752#217—41no—
753#217—41no—
754#217—41no—
755#217—41no—
756#217—41no—
757#217—41no—
758#217—41no—
759#217—41no—
760#217—41no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768C4⋊Dic3—22no—
769C4⋊Dic3—41no—
770C4⋊Dic3—41no—
771C4⋊Dic3—41no—
772C4⋊Dic3—41no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792Dic3⋊C4—41no—
793Dic3⋊C4—41no—
794C4×Dic3—22no—
795C4×Dic3—22no—
796C4×Dic3—22no—
797C4×Dic3—22no—
798C4×Dic3—22no—
799C4×Dic3—41no—
800C4×Dic3—41no—
801C25C22×D311yescharacteristic
802C2×#41—24no—
803C2×#41—42no—
804C2×#41—42no—
805C2×#41—64no—
806C2×#41—64no—
807C2×#41—64no—
808C22×Q8—31no—
809C22×Q8C22×D311yescharacteristic
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4C22×D311yescharacteristic
816C22×D4C22×D311yescharacteristic
817C22×D4C22×D311yescharacteristic
818C22×D4C22×D311yescharacteristic
819C22×D4C22×D311yescharacteristic
820C22×D4C22×D311yescharacteristic
821C22×D4C22×D311yescharacteristic
822C23×C4—24no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—42no—
833C23×C4—42no—
834C23×C4C22×D311yescharacteristic
835C23×C4C22×D311yescharacteristic
836C23×C4C22×D311yescharacteristic
837C23×C4C22×D311yescharacteristic
838C23×C4C22×D311yescharacteristic
839C23×C4C22×D311yescharacteristic
840C23×C4C22×D311yescharacteristic
841C23×C4C22×D311yescharacteristic
842#123—24no—
843#123—24no—
844#123—64no—
845#123—122no—
846#123—122no—
847C22⋊Q8—24no—
848C22⋊Q8—24no—
849C22⋊Q8—122no—
850#121—24no—
851#121—24no—
852#121—64no—
853#121—122no—
854#120—24no—
855#120—24no—
856#120—64no—
857C4×Q8—64no—
858C4×Q8—64no—
859C4×D4—24no—
860C4×D4—24no—
861C4×D4—24no—
862C4×D4—64no—
863C4×D4—64no—
864C4×D4—64no—
865C4×D4—64no—
866C4×D4—64no—
867C4×D4—122no—
868C4×D4—122no—
869C4×D4#6718yescomplemented
870#117—24no—
871#117—64no—
872#117—64no—
873#117—64no—
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—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—64no—
901C2×C4⋊C4—64no—
902C2×C4⋊C4—64no—
903C2×C4⋊C4—122no—
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
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—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—64no—
947C2×C22⋊C4—122no—
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C42—31no—
959C2×C42—31no—
960C2×C42—31no—
961C2×C42—31no—
962C2×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42C22×D311yescharacteristic
966C2×C42C22×D311yescharacteristic
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#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—28no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—44no—
1034C23×C3—44no—
1035C23×C3—44no—
1036C23×C3—44no—
1037C23×C3—44no—
1038C23×C3—44no—
1039C23×C3C22×D412yes—
1040C23×C3C22×D412yes—
1041C23×C3C2×#4112yes—
1042C23×C3C2×#4112yes—
1043C23×C3H(5,𝔽2)12yes—
1044C23×C32−1+412yes—
1045C23×C3C2511yescharacteristic
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3C2×#4112yes—
1053C3×Q8—44no—
1054C3×D4—28no—
1055C3×D4—44no—
1056C3×D4—44no—
1057C3×D4—44no—
1058C3×D4—44no—
1059C3×D4—44no—
1060C3×D4—44no—
1061C2×C3×C4—28no—
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—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—44no—
1087C2×C3×C4—44no—
1088C2×C3×C4—44no—
1089C2×C3×C4—44no—
1090C2×C3×C4—44no—
1091C2×C3×C4—44no—
1092C2×C3×C4—44no—
1093C2×C3×C4C22×D412yes—
1094C2×C3×C4C22×D412yes—
1095C2×C3×C4C22×D412yes—
1096C2×C3×C4C22×D412yes—
1097C2×C3×C4C22×D412yes—
1098C2×C3×C4H(5,𝔽2)12yes—
1099#67—28no—
1100#67—28no—
1101#67—44no—
1102#67—44no—
1103#67—82no—
1104C2×Dic3—28no—
1105C2×Dic3—28no—
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—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—44no—
1149C2×Dic3—82no—
1150C2×Dic3—82no—
1151C2×Dic3—82no—
1152C2×Dic3C2×#4112yes—
1153C2×Dic3C2×#4112yes—
1154C2×Dic3C2×#4112yes—
1155C4×D3—28no—
1156C4×D3—82no—
1157C4×D3—82no—
1158Dic6—28no—
1159C24—22no—
1160C24—22no—
1161C24—22no—
1162C24—22no—
1163C24—22no—
1164C24—31no—
1165C24—41no—
1166C24—41no—
1167C24C23×D311yescharacteristic
1168C24C23×D311yescharacteristic
1169C24C23×D311yescharacteristic
1170C24C23×D311yescharacteristic
1171C24C23×D311yescharacteristic
1172#41—416no—
1173#41—632no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—41no—
1177C2×Q8—62no—
1178C2×Q8—62no—
1179C2×Q8—62no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—34no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—62no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4C2×#6714yes—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—34no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—416no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—62no—
1258C22×C4—62no—
1259C22×C4—62no—
1260C22×C4—62no—
1261C22×C4—62no—
1262C22×C4—62no—
1263C22×C4—62no—
1264C22×C4—62no—
1265C22×C4—62no—
1266C22×C4—62no—
1267C22×C4—62no—
1268C22×C4—62no—
1269C22×C4—121no—
1270C22×C4—121no—
1271C22×C4—121no—
1272C22×C4—121no—
1273C22×C4—121no—
1274C22×C4—121no—
1275C22×C4—121no—
1276C22×C4—121no—
1277C22×C4—121no—
1278C22×C4—121no—
1279C22×C4—121no—
1280C22×C4—121no—
1281C22×C4C2×#6714yes—
1282C22×C4C2×#6714yes—
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C22×C4C23×D311yescharacteristic
1288C22×C4C23×D311yescharacteristic
1289C22×C4C23×D311yescharacteristic
1290C22×C4C23×D311yescharacteristic
1291C22×C4C23×D311yescharacteristic
1292C22×C4C23×D311yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—62no—
1299C4⋊C4—62no—
1300C4⋊C4—62no—
1301C4⋊C4—62no—
1302C4⋊C4—62no—
1303C4⋊C4—62no—
1304C4⋊C4—62no—
1305C4⋊C4—62no—
1306C4⋊C4—62no—
1307C4⋊C4—62no—
1308C4⋊C4—62no—
1309C4⋊C4—62no—
1310C4⋊C4—62no—
1311C4⋊C4—62no—
1312C4⋊C4—62no—
1313C4⋊C4—121no—
1314C4⋊C4—121no—
1315C4⋊C4—121no—
1316C4⋊C4—121no—
1317C4⋊C4—121no—
1318C4⋊C4—121no—
1319C4⋊C4—121no—
1320C4⋊C4—121no—
1321C4⋊C4—121no—
1322C4⋊C4—121no—
1323C4⋊C4—121no—
1324C4⋊C4C2×#6714yes—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4C2×#6714yes—
1370C22⋊C4C2×#6714yes—
1371C42—22no—
1372C42—62no—
1373C42—62no—
1374C42—62no—
1375C42—62no—
1376C42—62no—
1377C42—121no—
1378C42—121no—
1379C42C2×#6714yes—
1380C22×C3—22no—
1381C22×C3—22no—
1382C22×C3—22no—
1383C22×C3—22no—
1384C22×C3—22no—
1385C22×C3—22no—
1386C22×C3—22no—
1387C22×C3—22no—
1388C22×C3—22no—
1389C22×C3—22no—
1390C22×C3—22no—
1391C22×C3—22no—
1392C22×C3—22no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—416no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—41no—
1407C22×C3—41no—
1408C22×C3—41no—
1409C22×C3—41no—
1410C22×C3—41no—
1411C22×C3—41no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3#52514yes—
1416C22×C3C23×D411yescharacteristic
1417C22×C3C22×#4111yescharacteristic
1418C22×C3C22×#4111yescharacteristic
1419C22×C3C2×H(5,𝔽2)11yescharacteristic
1420C22×C3C2×H(5,𝔽2)11yescharacteristic
1421C22×C3C2×2−1+411yescharacteristic
1422C22×C3#58511yescharacteristic
1423C2×D3—22no—
1424C2×D3—22no—
1425C2×D3—22no—
1426C2×D3—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C3×C4—22no—
1431C3×C4—22no—
1432C3×C4—22no—
1433C3×C4—22no—
1434C3×C4—22no—
1435C3×C4—22no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4—41no—
1439C3×C4—41no—
1440Dic3—22no—
1441Dic3—22no—
1442Dic3—22no—
1443Dic3—41no—
1444Dic3—41no—
1445Dic3—41no—
1446Dic3—41no—
1447Dic3—41no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452Dic3—41no—
1453Dic3—41no—
1454Dic3—41no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—28no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—32no—
1486C23—44no—
1487C23—44no—
1488C23—44no—
1489C23—44no—
1490C23—44no—
1491C23—44no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23#100412yes—
1499C23D3×#4112yes—
1500C23D3×#4112yes—
1501C23#101012yes—
1502C23C22×#6712yes—
1503C23C22×#6712yes—
1504C23C24×D311yescharacteristic
1505Q8—44no—
1506Q8—68no—
1507D4—28no—
1508D4—44no—
1509D4—44no—
1510D4—44no—
1511D4—44no—
1512D4—44no—
1513D4—44no—
1514D4—68no—
1515D4—68no—
1516D4—124no—
1517D4—124no—
1518D4—242no—
1519C2×C4—28no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—32no—
1545C2×C4—32no—
1546C2×C4—32no—
1547C2×C4—44no—
1548C2×C4—44no—
1549C2×C4—44no—
1550C2×C4—44no—
1551C2×C4—44no—
1552C2×C4—44no—
1553C2×C4—44no—
1554C2×C4—68no—
1555C2×C4—68no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—68no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—124no—
1600C2×C4—242no—
1601C2×C4—242no—
1602C2×C4—242no—
1603C2×C4—242no—
1604C2×C4—242no—
1605C2×C4#100412yes—
1606C2×C4C22×#6712yes—
1607C2×C4C22×#6712yes—
1608C2×C4C22×#6712yes—
1609C2×C4C22×#6712yes—
1610C2×C4C22×#6712yes—
1611C2×C3—24no—
1612C2×C3—42no—
1613C2×C3—42no—
1614C2×C3—42no—
1615C2×C3—81no—
1616C2×C3C2×#52511yescharacteristic
1617C2×C3#348411yescharacteristic
1618C2×C3#348911yescharacteristic
1619C2×C3#349211yescharacteristic
1620C2×C3#350611yescharacteristic
1621C2×C3#351311yescharacteristic
1622C2×C3#352011yescharacteristic
1623D3—42no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—416no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—62no—
1660C22—62no—
1661C22—62no—
1662C22—121no—
1663C22—121no—
1664C22—121no—
1665C22—121no—
1666C22#582814yes—
1667C22C2×#100411yescharacteristic
1668C22C2×#100411yescharacteristic
1669C22C2×D3×#4111yescharacteristic
1670C22C2×D3×#4111yescharacteristic
1671C22C2×#101011yescharacteristic
1672C22#596411yescharacteristic
1673C22C23×#6711yescharacteristic
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—62no—
1685C4—62no—
1686C4—62no—
1687C4—121no—
1688C4—121no—
1689C4—121no—
1690C4—121no—
1691C4—121no—
1692C4—121no—
1693C4—121no—
1694C4—121no—
1695C4—121no—
1696C4—121no—
1697C4—121no—
1698C4—121no—
1699C3#3535311yescharacteristic, complemented, Sylow
1700C2—24no—
1701C2—42no—
1702C2—42no—
1703C2—42no—
1704C2—81no—
1705C2—122no—
1706C2#8602511yescharacteristic
1707C2#8602911yescharacteristic
1708C2#8604511yescharacteristic
1709C2#8604711yescharacteristic
1710C2#8723911yescharacteristic
1711C2#8726411yescharacteristic
1712C2C2×#582811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#525C2
hypercenterC2×#525D3
hypocenterC3#35353
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×C3×#525C2semidirect
2. C2×#5546C2semidirect
3. #84097C2semidirect
4. #84090C2semidirect
5. C4×#953C2semidirect
6. C2×#5210C2semidirect
7. #82898C2semidirect
8. #82897C2semidirect
9. #82854C2semidirect
10. #82851C2semidirect
11. #82817C2semidirect
12. #82768C2semidirect
13. #82764C2semidirect
14. #82762C2semidirect
15. #82660C2semidirect
16. #82657C2semidirect
17. #82655C2semidirect
18. #82651C2semidirect
19. #82586C2semidirect
20. #82585C2semidirect
21. #82583C2semidirect
22. #82581C2semidirect
23. #82419C2semidirect
24. #82418C2semidirect
25. #82388C2semidirect
26. #82387C2semidirect
27. #82327C2semidirect
28. #82326C2semidirect
29. #82324C2semidirect
30. #82285C2semidirect
31. #82258C2semidirect
53. C2×#946C22semidirect
58. C2×#935C22semidirect
63. C2×C4×#67C22semidirect
66. C22×Dic3⋊C4C22semidirect
68. C2×D3×C4⋊C4C22semidirect
69. C2×#887C22semidirect
71. C2×#67⋊C4C22semidirect
73. C2×#877C22semidirect
74. C2×#872C22semidirect
75. C2×C4×Dic6C22semidirect
77. #5230C22semidirect
78. #5230C22semidirect
79. #5229C22semidirect
83. #5223C22semidirect
89. #5222C22semidirect
100. #5220C22semidirect
104. #5213C22semidirect
105. #5212C22semidirect
106. #5211C22semidirect
118. #5210C22semidirect
119. #5210C22semidirect
120. #5210C22semidirect
126. #4994C22semidirect
127. #4993C22semidirect
128. #4989C22semidirect
129. #4989C22semidirect
130. #4989C22semidirect
131. #4985C22semidirect
132. #4982C22semidirect
133. #4982C22semidirect
134. #4982C22semidirect
135. #4981C22semidirect
136. #4980C22semidirect
137. #4980C22semidirect
138. #4979C22semidirect
139. #4978C22semidirect
140. #4978C22semidirect
141. #4978C22semidirect
142. #4978C22semidirect
143. #4978C22semidirect
144. #4976C22semidirect
145. #4976C22semidirect
146. #4972C22semidirect
147. #4972C22semidirect
149. #4959C22semidirect
154. #4956C22semidirect
155. #4956C22semidirect
157. #4952C22semidirect
158. #4951C22semidirect
159. #4951C22semidirect
163. #4949C22semidirect
169. #4947C22semidirect
171. #4946C22semidirect
172. #4946C22semidirect
173. #4945C22semidirect
174. #4945C22semidirect
180. #4944C22semidirect
181. #4944C22semidirect
184. #4940C22semidirect
185. #4937C22semidirect
186. #4936C22semidirect
187. #4933C22semidirect
188. #4933C22semidirect
189. #4933C22semidirect
190. C2×#525D3semidirect
273. C3×C4×D4D4semidirect
667. C2×#67#41semidirect
685. C22×Dic3#41semidirect
869. C4×D4#67semidirect
1699. C3#35353semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5252
C2×#55462
#840972
#840902
C4×#9532
C2×#52102
#828982
#828972
#828542
#828512
#828172
#827682
#827642
#827622
#826602
#826572
#826552
#826512
#825862
#825852
#825832
#825812
#824192
#824182
#823882
#823872
#823272
#823262
#823242
#822852
#822582
#353533