Finite Group Databasebeta

← #10982011

Subgroups — #10982011

Order 768.

2204 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#394C211yesmaximal, characteristic, complemented
2#84048C211yesmaximal, characteristic
3D4×#217C211yesmaximal, characteristic, complemented
4#82174C211yesmaximal, characteristic, complemented
5#82161C211yesmaximal, characteristic, complemented
6#82131C211yesmaximal, characteristic, complemented
7#82112C211yesmaximal, characteristic, complemented
8#82111C211yesmaximal, characteristic, complemented
9#82110C211yesmaximal, characteristic, complemented
10#82099C211yesmaximal, characteristic, complemented
11#82099C211yesmaximal, characteristic, complemented
12#82098C211yesmaximal, characteristic, complemented
13#82083C211yesmaximal, characteristic, complemented
14#76993C211yesmaximal, characteristic, complemented
15#76985C211yesmaximal, characteristic, complemented
16#76961C211yesmaximal, characteristic, complemented
17#76958C211yesmaximal, characteristic, complemented
18#76957C211yesmaximal, characteristic, complemented
19#76954C211yesmaximal, characteristic, complemented
20#76939C211yesmaximal, characteristic, complemented
21#76934C211yesmaximal, characteristic, complemented
22#76929C211yesmaximal, characteristic, complemented
23#76928C211yesmaximal, characteristic, complemented
24#76921C211yesmaximal, characteristic, complemented
25#76913C211yesmaximal, characteristic, complemented
26#76911C211yesmaximal, characteristic, complemented
27#76902C211yesmaximal, characteristic, complemented
28#76892C211yesmaximal, characteristic, complemented
29#76891C211yesmaximal, characteristic, complemented
30#73356C211yesmaximal, characteristic, complemented
31#73339C211yesmaximal, characteristic, complemented
32#35716—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C22×C3×C4⋊C4C2211yescharacteristic
35C22×C3×C22⋊C4C2211yescharacteristic
36C22×C3×C22⋊C4C2211yescharacteristic
37C22×C3×C22⋊C4C2211yescharacteristic
38C22×C3×C22⋊C4C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C22×#217C2211yescharacteristic
42C22×#217C2211yescharacteristic
43C22×#217C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×D4×Dic3C2211yescharacteristic
47C2×D4×Dic3C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic
49C2×#924C2211yescharacteristic
50C2×#892C2211yescharacteristic, complemented
51C2×#889C2211yescharacteristic, complemented
52C2×#885C2211yescharacteristic, complemented
53C2×#67⋊C4C2211yescharacteristic, complemented
54C2×#67⋊C4C2211yescharacteristic, complemented
55C2×#879C2211yescharacteristic, complemented
56C2×#878C2211yescharacteristic, complemented
57C2×#877C2211yescharacteristic, complemented
58C3×#394C2211yescharacteristic
59C3×#394C2211yescharacteristic
60C3×#394C2211yescharacteristic
61C3×#394C2211yescharacteristic
62C3×#394C2211yescharacteristic
63C3×#394C2211yescharacteristic
64C3×#394C2211yescharacteristic
65C3×#394C2211yescharacteristic
66C2×C3×#95C2211yescharacteristic
67#5247C2211yescharacteristic
68#5247C2211yescharacteristic
69#5247C2211yescharacteristic
70#5223C2211yescharacteristic
71#5223C2211yescharacteristic
72#5222C2211yescharacteristic
73#5222C2211yescharacteristic
74#5221C2211yescharacteristic
75#5221C2211yescharacteristic
76#5220C2211yescharacteristic
77#5220C2211yescharacteristic
78#5220C2211yescharacteristic
79#5220C2211yescharacteristic
80#5220C2211yescharacteristic
81#5220C2211yescharacteristic
82#5213C2211yescharacteristic
83#5213C2211yescharacteristic
84#5213C2211yescharacteristic
85#5213C2211yescharacteristic
86#5212C2211yescharacteristic
87#5212C2211yescharacteristic
88#5210C2211yescharacteristic
89#5210C2211yescharacteristic
90#5210C2211yescharacteristic
91#5210C2211yescharacteristic
92#5210C2211yescharacteristic
93#5210C2211yescharacteristic
94C4×#217C2211yescharacteristic
95C4×#217C2211yescharacteristic
96C4×#217C2211yescharacteristic
97C4×#217C2211yescharacteristic
98C4×#217C2211yescharacteristic
99C4×#217C2211yescharacteristic
100#4990C2211yescharacteristic, complemented
101#4990C2211yescharacteristic, complemented
102#4987C2211yescharacteristic, complemented
103#4985C2211yescharacteristic, complemented
104#4983C2211yescharacteristic, complemented
105#4982C2211yescharacteristic, complemented
106#4981C2211yescharacteristic, complemented
107#4980C2211yescharacteristic, complemented
108#4978C2211yescharacteristic, complemented
109#4978C2211yescharacteristic, complemented
110#4978C2211yescharacteristic, complemented
111#4977C2211yescharacteristic, complemented
112#4976C2211yescharacteristic, complemented
113Dic3×C4⋊C4C2211yescharacteristic, complemented
114#4961C2211yescharacteristic, complemented
115#4959C2211yescharacteristic, complemented
116#4959C2211yescharacteristic, complemented
117#4959C2211yescharacteristic, complemented
118#4959C2211yescharacteristic, complemented
119#4959C2211yescharacteristic, complemented
120#4958C2211yescharacteristic, complemented
121#4958C2211yescharacteristic, complemented
122#4957C2211yescharacteristic, complemented
123#4957C2211yescharacteristic, complemented
124#4957C2211yescharacteristic, complemented
125#4956C2211yescharacteristic, complemented
126#4956C2211yescharacteristic, complemented
127#4953C2211yescharacteristic, complemented
128#4952C2211yescharacteristic, complemented
129#4952C2211yescharacteristic, complemented
130#4952C2211yescharacteristic, complemented
131#4952C2211yescharacteristic, complemented
132#4952C2211yescharacteristic, complemented
133#4952C2211yescharacteristic, complemented
134#4952C2211yescharacteristic, complemented
135#4951C2211yescharacteristic, complemented
136#4951C2211yescharacteristic, complemented
137#4950C2211yescharacteristic, complemented
138#4949C2211yescharacteristic, complemented
139#4948C2211yescharacteristic, complemented
140#4948C2211yescharacteristic, complemented
141#4948C2211yescharacteristic, complemented
142#4947C2211yescharacteristic, complemented
143#4947C2211yescharacteristic, complemented
144#4946C2211yescharacteristic, complemented
145#4946C2211yescharacteristic, complemented
146#4946C2211yescharacteristic, complemented
147#4945C2211yescharacteristic, complemented
148#4945C2211yescharacteristic, complemented
149#4945C2211yescharacteristic, complemented
150#4945C2211yescharacteristic, complemented
151#4945C2211yescharacteristic, complemented
152#4944C2211yescharacteristic, complemented
153#4944C2211yescharacteristic, complemented
154#4944C2211yescharacteristic, complemented
155#4944C2211yescharacteristic, complemented
156#4944C2211yescharacteristic, complemented
157#4944C2211yescharacteristic, complemented
158#4943C2211yescharacteristic, complemented
159#4942C2211yescharacteristic, complemented
160#4942C2211yescharacteristic, complemented
161Dic3×C22⋊C4C2211yescharacteristic, complemented
162Dic3×C22⋊C4C2211yescharacteristic, complemented
163Dic3×C22⋊C4C2211yescharacteristic, complemented
164Dic3×C22⋊C4C2211yescharacteristic, complemented
165Dic3×C22⋊C4C2211yescharacteristic, complemented
166Dic3×C22⋊C4C2211yescharacteristic, complemented
167Dic3×C22⋊C4C2211yescharacteristic, complemented
168Dic3×C22⋊C4C2211yescharacteristic, complemented
169Dic3×C22⋊C4C2211yescharacteristic, complemented
170Dic3×C22⋊C4C2211yescharacteristic, complemented
171Dic3×C22⋊C4C2211yescharacteristic, complemented
172#4675C2211yescharacteristic, complemented
173#4674C2211yescharacteristic, complemented
174#4670C2211yescharacteristic, complemented
175#4669C2211yescharacteristic, complemented
176C3⋊#401C2211yescharacteristic, complemented
177#4660C2211yescharacteristic, complemented
178#4654C2211yescharacteristic, complemented
179#4653C2211yescharacteristic, complemented
180#4653C2211yescharacteristic, complemented
181#4652C2211yescharacteristic, complemented
182#4652C2211yescharacteristic, complemented
183#4651C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#2653—31no—
189#2648—31no—
190#2622—31no—
191#2597—31no—
192#2578—31no—
193#2576—31no—
194#2560—31no—
195#2518—31no—
196#2510—31no—
197#2490—31no—
198#2480—31no—
199#2476—31no—
200#2476—31no—
201#2473—31no—
202#2472—31no—
203#2467—31no—
204#2460—31no—
205#2459—31no—
206#2437—31no—
207#2427—31no—
208#2410—31no—
209#2395—31no—
210#2392—31no—
211C2×#394D311yescharacteristic, complemented
212#2368—31no—
213#2358—31no—
214#2358—31no—
215#2352—31no—
216#2342—31no—
217D4×C22⋊C4—31no—
218#2273—31no—
219C25×C3C2311yescharacteristic
220C25×C3C2311yescharacteristic
221C22×C3×D4—24no—
222C22×C3×D4—42no—
223C22×C3×D4—42no—
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C2×C3×C4⋊C4—42no—
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C22⋊C4—24no—
252C2×C3×C22⋊C4—42no—
253C2×C3×C22⋊C4—42no—
254C2×C3×C22⋊C4—42no—
255C2×C3×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271#953—24no—
272#953—24no—
273C2×#217—24no—
274C2×#217—24no—
275C2×#217—24no—
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
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
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305#939—42no—
306#939—42no—
307D4×Dic3—42no—
308D4×Dic3—42no—
309C4×#67—24no—
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×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324#924—24no—
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353#892—42no—
354#889—42no—
355#885—42no—
356#67⋊C4—42no—
357#67⋊C4—42no—
358#879—42no—
359#878—42no—
360#877—42no—
361C3×#95C2311yescharacteristic
362C3×#95C2311yescharacteristic
363C3×#95C2311yescharacteristic
364C3×#95C2311yescharacteristic
365C3⋊#95C2311yescharacteristic
366C3⋊#95C2311yescharacteristic
367C3⋊#95C2311yescharacteristic
368C3⋊#95C2311yescharacteristic
369C3⋊#95C2311yescharacteristic
370C3⋊#95C2311yescharacteristic
371C3⋊#95C2311yescharacteristic
372C3⋊#95C2311yescharacteristic
373C3⋊#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
379C3⋊#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
381C3⋊#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
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
401C23×D4C2×D311yescharacteristic
402C2×#126—31no—
403C2×#125—31no—
404C2×#124—31no—
405C2×C22⋊Q8—31no—
406C2×C22⋊Q8—31no—
407C2×#121—31no—
408C2×#121—31no—
409C2×#120—31no—
410C2×#120—31no—
411C2×C4×D4—31no—
412C2×C4×D4—31no—
413C2×C4×D4—31no—
414C2×C4×D4—31no—
415C2×C4×D4—31no—
416C2×#117—31no—
417C2×#117—31no—
418C22×C4⋊C4C2×D311yescharacteristic
419C22×C22⋊C4—31no—
420C22×C22⋊C4—31no—
421C22×C22⋊C4—31no—
422C22×C22⋊C4C2×D311yescharacteristic
423C22×C22⋊C4C2×D311yescharacteristic
424C22×C22⋊C4C2×D311yescharacteristic
425C22×C22⋊C4C2×D311yescharacteristic
426#401—31no—
427#400—31no—
428#400—31no—
429#399—31no—
430#398—31no—
431#398—31no—
432#398—31no—
433#397—31no—
434#397—31no—
435#397—31no—
436#397—31no—
437#397—31no—
438#397—31no—
439#397—31no—
440#397—31no—
441#397—31no—
442#397—31no—
443#396—31no—
444#396—31no—
445#396—31no—
446#394—31no—
447#394—31no—
448#394—31no—
449#394—31no—
450#394—31no—
451#394—31no—
452#394—31no—
453#394—31no—
454#394C2×D311yescharacteristic
455#394C2×D311yescharacteristic
456#394C2×D311yescharacteristic
457#394C2×D311yescharacteristic
458#394C2×D311yescharacteristic
459#394C2×D311yescharacteristic
460#394C2×D311yescharacteristic
461#394C2×D311yescharacteristic
462#393—31no—
463#393—31no—
464#392—31no—
465#392—31no—
466#391—31no—
467#391—31no—
468#390—31no—
469#390—31no—
470#390—31no—
471#390—31no—
472#390—31no—
473#389—31no—
474#388—31no—
475#388—31no—
476#388—31no—
477#388—31no—
478#388—31no—
479#388—31no—
480#388—31no—
481#388—31no—
482#388—31no—
483#388—31no—
484#388—31no—
485#388—31no—
486#388—31no—
487#388—31no—
488#388—31no—
489#388—31no—
490#388—31no—
491#387—31no—
492#387—31no—
493#387—31no—
494#387—31no—
495#387—31no—
496#387—31no—
497#387—31no—
498#387—31no—
499#387—31no—
500#386—31no—
501#386—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
510#386—31no—
511#386—31no—
512#386—31no—
513#386—31no—
514#385—31no—
515#385—31no—
516#385—31no—
517#385—31no—
518#385—31no—
519#385—31no—
520#385—31no—
521#385—31no—
522#385—31no—
523#385—31no—
524#383—31no—
525#382—31no—
526#381—31no—
527#380—31no—
528#380—31no—
529#380—31no—
530#380—31no—
531#380—31no—
532#379—31no—
533#379—31no—
534#379—31no—
535C4×C4⋊C4—31no—
536C4×C4⋊C4—31no—
537C4×C4⋊C4—31no—
538C4×C22⋊C4—31no—
539C4×C22⋊C4—31no—
540C4×C22⋊C4—31no—
541C4×C22⋊C4—31no—
542C4×C22⋊C4—31no—
543C4×C22⋊C4—31no—
544C4×C22⋊C4—31no—
545C4×C22⋊C4—31no—
546C4×C22⋊C4—31no—
547C4×C22⋊C4—31no—
548C4×C22⋊C4—31no—
549C4×C22⋊C4—31no—
550C4×C22⋊C4—31no—
551C4×C22⋊C4—31no—
552C4×C22⋊C4—31no—
553C4×C22⋊C4—31no—
554C4×C22⋊C4—31no—
555C2×#95C2×D311yescharacteristic
556C24×C3—22no—
557C24×C3—22no—
558C24×C3—22no—
559C24×C3—22no—
560C24×C3—22no—
561C24×C3—22no—
562C24×C3—41no—
563C24×C3—41no—
564C24×C3—41no—
565C24×C3—41no—
566C24×C3—41no—
567C24×C3—41no—
568C24×C3—41no—
569C24×C3#4114yes—
570C24×C3C2411yescharacteristic
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C24×C3C2411yescharacteristic
574C24×C3C2411yescharacteristic
575C23×D3C2411yescharacteristic
576C2×C3×D4—22no—
577C2×C3×D4—22no—
578C2×C3×D4—22no—
579C2×C3×D4—22no—
580C2×C3×D4—22no—
581C2×C3×D4—22no—
582C2×C3×D4—22no—
583C2×C3×D4—22no—
584C2×C3×D4—41no—
585C2×C3×D4—41no—
586C2×C3×D4—41no—
587C2×C3×D4—41no—
588C2×C3×D4—416no—
589C22×C3×C4—22no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—22no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C22×Dic3—22no—
630C22×Dic3—22no—
631C22×Dic3—22no—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—41no—
637C22×Dic3—41no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3—41no—
644C22×Dic3—41no—
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
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—41no—
665C2×Dic6—22no—
666C2×Dic6—41no—
667C2×Dic6—41no—
668C3×C4⋊C4—22no—
669C3×C4⋊C4—22no—
670C3×C4⋊C4—41no—
671C3×C4⋊C4—41no—
672C3×C22⋊C4—22no—
673C3×C22⋊C4—22no—
674C3×C22⋊C4—22no—
675C3×C22⋊C4—22no—
676C3×C22⋊C4—22no—
677C3×C22⋊C4—22no—
678C3×C22⋊C4—22no—
679C3×C22⋊C4—22no—
680C3×C22⋊C4—22no—
681C3×C22⋊C4—22no—
682C3×C22⋊C4—41no—
683C3×C22⋊C4—41no—
684C3×C22⋊C4—41no—
685C3×C22⋊C4—41no—
686C3×C22⋊C4—41no—
687C3×C22⋊C4—41no—
688#217—22no—
689#217—22no—
690#217—22no—
691#217—22no—
692#217—22no—
693#217—22no—
694#217—22no—
695#217—22no—
696#217—22no—
697#217—22no—
698#217—22no—
699#217—22no—
700#217—22no—
701#217—22no—
702#217—22no—
703#217—22no—
704#217—22no—
705#217—41no—
706#217—41no—
707#217—41no—
708#217—41no—
709#217—41no—
710#217—41no—
711#217—41no—
712#217—41no—
713#217—41no—
714#217—41no—
715#217#4114yes—
716#217#4114yes—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—41no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4—41no—
722(C2×D3)⋊C4—41no—
723(C2×D3)⋊C4—41no—
724(C2×D3)⋊C4—41no—
725(C2×D3)⋊C4—41no—
726C4⋊Dic3—22no—
727C4⋊Dic3—22no—
728C4⋊Dic3—22no—
729C4⋊Dic3—41no—
730C4⋊Dic3—41no—
731Dic3⋊C4—22no—
732Dic3⋊C4—22no—
733Dic3⋊C4—22no—
734Dic3⋊C4—22no—
735Dic3⋊C4—22no—
736Dic3⋊C4—22no—
737Dic3⋊C4—41no—
738Dic3⋊C4—41no—
739Dic3⋊C4—41no—
740Dic3⋊C4—41no—
741Dic3⋊C4—41no—
742Dic3⋊C4—41no—
743Dic3⋊C4—41no—
744Dic3⋊C4—41no—
745Dic3⋊C4—41no—
746C4×Dic3—22no—
747C4×Dic3—22no—
748C4×Dic3—41no—
749C4×Dic3—41no—
750C4×Dic3—41no—
751C4×Dic3—41no—
752C4×Dic3—41no—
753C4×Dic3—41no—
754C4×Dic3—41no—
755C4×Dic3—41no—
756C4×Dic3—41no—
757C4×Dic3—41no—
758C4×Dic3—41no—
759C25C22×D311yescharacteristic
760C25C22×D311yescharacteristic
761C22×Q8—31no—
762C22×D4—24no—
763C22×D4—31no—
764C22×D4—31no—
765C22×D4—31no—
766C22×D4—31no—
767C22×D4—31no—
768C22×D4—42no—
769C22×D4—42no—
770C22×D4C22×D311yescharacteristic
771C22×D4C22×D311yescharacteristic
772C22×D4C22×D311yescharacteristic
773C22×D4C22×D311yescharacteristic
774C23×C4—31no—
775C23×C4—31no—
776C23×C4—31no—
777C23×C4—31no—
778C23×C4—31no—
779C23×C4—31no—
780C23×C4—31no—
781C23×C4C22×D311yescharacteristic
782C23×C4C22×D311yescharacteristic
783C23×C4C22×D311yescharacteristic
784C23×C4C22×D311yescharacteristic
785C23×C4C22×D311yescharacteristic
786#126—122no—
787#125—122no—
788#124—122no—
789C22⋊Q8—64no—
790C22⋊Q8—122no—
791#121—122no—
792#121—122no—
793#120—64no—
794#120—64no—
795C4×D4—64no—
796C4×D4—122no—
797C4×D4—122no—
798C4×D4—122no—
799C4×D4—122no—
800#117—122no—
801#117—122no—
802C2×C4⋊C4—31no—
803C2×C4⋊C4—31no—
804C2×C4⋊C4—31no—
805C2×C4⋊C4—31no—
806C2×C4⋊C4—31no—
807C2×C4⋊C4—31no—
808C2×C4⋊C4—31no—
809C2×C4⋊C4—31no—
810C2×C4⋊C4—31no—
811C2×C4⋊C4—31no—
812C2×C4⋊C4—31no—
813C2×C4⋊C4—31no—
814C2×C4⋊C4—31no—
815C2×C4⋊C4—31no—
816C2×C4⋊C4—31no—
817C2×C4⋊C4—31no—
818C2×C4⋊C4—31no—
819C2×C4⋊C4—31no—
820C2×C4⋊C4—31no—
821C2×C4⋊C4—31no—
822C2×C4⋊C4—42no—
823C2×C4⋊C4C22×D311yescharacteristic
824C2×C4⋊C4C22×D311yescharacteristic
825C2×C4⋊C4C22×D311yescharacteristic
826C2×C4⋊C4C22×D311yescharacteristic
827C2×C22⋊C4—24no—
828C2×C22⋊C4—31no—
829C2×C22⋊C4—31no—
830C2×C22⋊C4—31no—
831C2×C22⋊C4—31no—
832C2×C22⋊C4—31no—
833C2×C22⋊C4—31no—
834C2×C22⋊C4—31no—
835C2×C22⋊C4—31no—
836C2×C22⋊C4—31no—
837C2×C22⋊C4—31no—
838C2×C22⋊C4—31no—
839C2×C22⋊C4—31no—
840C2×C22⋊C4—31no—
841C2×C22⋊C4—31no—
842C2×C22⋊C4—31no—
843C2×C22⋊C4—31no—
844C2×C22⋊C4—31no—
845C2×C22⋊C4—31no—
846C2×C22⋊C4—31no—
847C2×C22⋊C4—31no—
848C2×C22⋊C4—31no—
849C2×C22⋊C4—31no—
850C2×C22⋊C4—31no—
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—31no—
856C2×C22⋊C4—31no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—42no—
867C2×C22⋊C4—42no—
868C2×C22⋊C4—42no—
869C2×C22⋊C4—64no—
870C2×C22⋊C4—64no—
871C2×C22⋊C4—64no—
872C2×C22⋊C4C22×D311yescharacteristic
873C2×C22⋊C4C22×D311yescharacteristic
874C2×C22⋊C4C22×D311yescharacteristic
875C2×C22⋊C4C22×D311yescharacteristic
876C2×C22⋊C4C22×D311yescharacteristic
877C2×C22⋊C4C22×D311yescharacteristic
878C2×C22⋊C4C22×D311yescharacteristic
879C2×C22⋊C4C22×D311yescharacteristic
880C2×C22⋊C4C22×D311yescharacteristic
881C2×C22⋊C4C22×D311yescharacteristic
882C2×C22⋊C4C22×D311yescharacteristic
883C2×C22⋊C4C22×D311yescharacteristic
884C2×C22⋊C4C22×D311yescharacteristic
885C2×C22⋊C4C22×D311yescharacteristic
886C2×C22⋊C4C22×D311yescharacteristic
887C2×C22⋊C4C22×D311yescharacteristic
888C2×C42—31no—
889C2×C42—31no—
890C2×C42—31no—
891C2×C42—31no—
892C2×C42—31no—
893C2×C42—31no—
894C2×C42—31no—
895C2×C42—31no—
896C2×C42—31no—
897C2×C42—31no—
898C2×C42—31no—
899C2×C42—31no—
900C2×C42—31no—
901#95—31no—
902#95—31no—
903#95—31no—
904#95—31no—
905#95—31no—
906#95—31no—
907#95—31no—
908#95—31no—
909#95—31no—
910#95—31no—
911#95—31no—
912#95—31no—
913#95—31no—
914#95—31no—
915#95—31no—
916#95—31no—
917#95—31no—
918#95—31no—
919#95—31no—
920#95—31no—
921#95—31no—
922#95—31no—
923#95—31no—
924#95—31no—
925#95—31no—
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
936#95—31no—
937#95C22×D311yescharacteristic
938#95C22×D311yescharacteristic
939#95C22×D311yescharacteristic
940#95C22×D311yescharacteristic
941C23×C3—21no—
942C23×C3—21no—
943C23×C3—21no—
944C23×C3—21no—
945C23×C3—21no—
946C23×C3—21no—
947C23×C3—21no—
948C23×C3—21no—
949C23×C3—21no—
950C23×C3—21no—
951C23×C3—21no—
952C23×C3—21no—
953C23×C3—21no—
954C23×C3—21no—
955C23×C3—21no—
956C23×C3—21no—
957C23×C3—21no—
958C23×C3—21no—
959C23×C3—21no—
960C23×C3—21no—
961C23×C3—21no—
962C23×C3—21no—
963C23×C3—28no—
964C23×C3—21no—
965C23×C3—21no—
966C23×C3—21no—
967C23×C3—21no—
968C23×C3—21no—
969C23×C3—21no—
970C23×C3—21no—
971C23×C3—44no—
972C23×C3—44no—
973C23×C3—44no—
974C23×C3—44no—
975C23×C3—44no—
976C23×C3—44no—
977C23×C3—82no—
978C23×C3—82no—
979C23×C3—82no—
980C23×C3—82no—
981C23×C3—82no—
982C23×C3—82no—
983C23×C3—82no—
984C23×C3C2×#4112yes—
985C23×C3C2×#4112yes—
986C23×C3C2×#4112yes—
987C23×C3C2×#4112yes—
988C23×C3C2×#4112yes—
989C23×C3H(5,𝔽2)12yes—
990C23×C3C2511yescharacteristic
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C3×D4—28no—
999C3×D4—44no—
1000C3×D4—44no—
1001C3×D4—44no—
1002C2×C3×C4—21no—
1003C2×C3×C4—21no—
1004C2×C3×C4—21no—
1005C2×C3×C4—21no—
1006C2×C3×C4—21no—
1007C2×C3×C4—21no—
1008C2×C3×C4—21no—
1009C2×C3×C4—21no—
1010C2×C3×C4—21no—
1011C2×C3×C4—21no—
1012C2×C3×C4—21no—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—44no—
1031C2×C3×C4—44no—
1032C2×C3×C4—82no—
1033C2×C3×C4—82no—
1034C2×C3×C4—82no—
1035C2×C3×C4H(5,𝔽2)12yes—
1036C2×C3×C4H(5,𝔽2)12yes—
1037#67—44no—
1038#67—44no—
1039#67—44no—
1040#67—82no—
1041#67—82no—
1042C2×Dic3—21no—
1043C2×Dic3—21no—
1044C2×Dic3—21no—
1045C2×Dic3—21no—
1046C2×Dic3—21no—
1047C2×Dic3—21no—
1048C2×Dic3—21no—
1049C2×Dic3—21no—
1050C2×Dic3—21no—
1051C2×Dic3—21no—
1052C2×Dic3—21no—
1053C2×Dic3—21no—
1054C2×Dic3—21no—
1055C2×Dic3—21no—
1056C2×Dic3—21no—
1057C2×Dic3—21no—
1058C2×Dic3—21no—
1059C2×Dic3—21no—
1060C2×Dic3—21no—
1061C2×Dic3—21no—
1062C2×Dic3—21no—
1063C2×Dic3—21no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—44no—
1084C2×Dic3—82no—
1085C2×Dic3—82no—
1086C2×Dic3—82no—
1087C2×Dic3—82no—
1088C2×Dic3—82no—
1089C2×Dic3C2×#4112yes—
1090C2×Dic3C2×#4112yes—
1091C2×Dic3C2×#4112yes—
1092C2×Dic3C2×#4112yes—
1093C4×D3—44no—
1094Dic6—82no—
1095C24—22no—
1096C24—22no—
1097C24—22no—
1098C24—22no—
1099C24—22no—
1100C24—22no—
1101C24—31no—
1102C24—41no—
1103C24—41no—
1104C24—41no—
1105C24—41no—
1106C24—41no—
1107C24—41no—
1108C24—41no—
1109C24#23714yes—
1110C24C23×D311yescharacteristic
1111C24C23×D311yescharacteristic
1112C24C23×D311yescharacteristic
1113C24C23×D311yescharacteristic
1114C24C23×D311yescharacteristic
1115C2×Q8—62no—
1116C2×Q8—121no—
1117C2×Q8—121no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—22no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—416no—
1131C2×D4—62no—
1132C2×D4—62no—
1133C2×D4—62no—
1134C2×D4—62no—
1135C2×D4—62no—
1136C2×D4—62no—
1137C2×D4—62no—
1138C2×D4—62no—
1139C2×D4—121no—
1140C2×D4—121no—
1141C2×D4—121no—
1142C2×D4—121no—
1143C2×D4—121no—
1144C2×D4—121no—
1145C2×D4—121no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—31no—
1154C22×C4—31no—
1155C22×C4—31no—
1156C22×C4—31no—
1157C22×C4—31no—
1158C22×C4—31no—
1159C22×C4—31no—
1160C22×C4—31no—
1161C22×C4—31no—
1162C22×C4—31no—
1163C22×C4—31no—
1164C22×C4—31no—
1165C22×C4—31no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—62no—
1177C22×C4—62no—
1178C22×C4—62no—
1179C22×C4—62no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—121no—
1186C22×C4—121no—
1187C22×C4—121no—
1188C22×C4—121no—
1189C22×C4—121no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4—121no—
1194C22×C4—121no—
1195C22×C4—121no—
1196C22×C4—121no—
1197C22×C4C23×D311yescharacteristic
1198C22×C4C23×D311yescharacteristic
1199C22×C4C23×D311yescharacteristic
1200C22×C4C23×D311yescharacteristic
1201C22×C4C23×D311yescharacteristic
1202C22×C4C23×D311yescharacteristic
1203C22×C4C23×D311yescharacteristic
1204C22×C4C23×D311yescharacteristic
1205C22×C4C23×D311yescharacteristic
1206C22×C4C23×D311yescharacteristic
1207C4⋊C4—22no—
1208C4⋊C4—22no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—62no—
1212C4⋊C4—62no—
1213C4⋊C4—62no—
1214C4⋊C4—62no—
1215C4⋊C4—62no—
1216C4⋊C4—62no—
1217C4⋊C4—62no—
1218C4⋊C4—62no—
1219C4⋊C4—62no—
1220C4⋊C4—121no—
1221C4⋊C4—121no—
1222C4⋊C4—121no—
1223C4⋊C4—121no—
1224C4⋊C4—121no—
1225C4⋊C4—121no—
1226C4⋊C4—121no—
1227C4⋊C4—121no—
1228C4⋊C4—121no—
1229C4⋊C4—121no—
1230C4⋊C4—121no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—34no—
1242C22⋊C4—34no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—62no—
1250C22⋊C4—62no—
1251C22⋊C4—62no—
1252C22⋊C4—62no—
1253C22⋊C4—62no—
1254C22⋊C4—62no—
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—121no—
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⋊C4—121no—
1282C22⋊C4—121no—
1283C22⋊C4—121no—
1284C22⋊C4—121no—
1285C42—62no—
1286C42—62no—
1287C42—121no—
1288C42—121no—
1289C42—121no—
1290C42—121no—
1291C42—121no—
1292C42—121no—
1293C42—121no—
1294C42—121no—
1295C42—121no—
1296C42—121no—
1297C42—121no—
1298C22×C3—22no—
1299C22×C3—22no—
1300C22×C3—22no—
1301C22×C3—22no—
1302C22×C3—22no—
1303C22×C3—22no—
1304C22×C3—22no—
1305C22×C3—22no—
1306C22×C3—22no—
1307C22×C3—22no—
1308C22×C3—22no—
1309C22×C3—22no—
1310C22×C3—22no—
1311C22×C3—22no—
1312C22×C3—22no—
1313C22×C3—41no—
1314C22×C3—41no—
1315C22×C3—41no—
1316C22×C3—41no—
1317C22×C3—41no—
1318C22×C3—41no—
1319C22×C3—41no—
1320C22×C3—41no—
1321C22×C3—41no—
1322C22×C3—41no—
1323C22×C3—41no—
1324C22×C3—41no—
1325C22×C3—41no—
1326C22×C3—41no—
1327C22×C3—41no—
1328C22×C3—41no—
1329C22×C3—41no—
1330C22×C3—41no—
1331C22×C3—41no—
1332C22×C3—88no—
1333C22×C3—88no—
1334C22×C3#52914yes—
1335C22×C3C22×#4111yescharacteristic
1336C22×C3C22×#4111yescharacteristic
1337C22×C3C22×#4111yescharacteristic
1338C22×C3C2×H(5,𝔽2)11yescharacteristic
1339C22×C3C2×H(5,𝔽2)11yescharacteristic
1340C22×C3C2×H(5,𝔽2)11yescharacteristic
1341C22×C3#58511yescharacteristic
1342C2×D3—41no—
1343C2×D3—41no—
1344C2×D3—41no—
1345C2×D3—41no—
1346C2×D3—41no—
1347C2×D3—41no—
1348C2×D3—41no—
1349C3×C4—22no—
1350C3×C4—22no—
1351C3×C4—41no—
1352C3×C4—41no—
1353C3×C4—41no—
1354C3×C4—41no—
1355C3×C4—41no—
1356C3×C4—41no—
1357C3×C4—41no—
1358C3×C4—41no—
1359Dic3—22no—
1360Dic3—22no—
1361Dic3—22no—
1362Dic3—22no—
1363Dic3—41no—
1364Dic3—41no—
1365Dic3—41no—
1366Dic3—41no—
1367Dic3—41no—
1368Dic3—41no—
1369Dic3—41no—
1370Dic3—41no—
1371Dic3—41no—
1372Dic3—41no—
1373Dic3—41no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—28no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—44no—
1405C23—44no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—82no—
1418C23—82no—
1419C23—82no—
1420C23—82no—
1421C23—82no—
1422C23—82no—
1423C23—82no—
1424C23C2×#23712yes—
1425C23C2×#23712yes—
1426C23C2×#23712yes—
1427C23#100412yes—
1428C23D3×#4112yes—
1429C23D3×#4112yes—
1430C23C24×D311yescharacteristic
1431Q8—242no—
1432D4—28no—
1433D4—44no—
1434D4—44no—
1435D4—44no—
1436D4—124no—
1437D4—124no—
1438D4—124no—
1439D4—242no—
1440D4—242no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—32no—
1470C2×C4—32no—
1471C2×C4—32no—
1472C2×C4—32no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—61no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—82no—
1517C2×C4—82no—
1518C2×C4—82no—
1519C2×C4—124no—
1520C2×C4—124no—
1521C2×C4—242no—
1522C2×C4—242no—
1523C2×C4—242no—
1524C2×C4—242no—
1525C2×C4—242no—
1526C2×C4#100412yes—
1527C2×C4#100412yes—
1528C2×C3—24no—
1529C2×C3—42no—
1530C2×C3—42no—
1531C2×C3—42no—
1532C2×C3—81no—
1533C2×C3C2×#52911yescharacteristic
1534C2×C3#349011yescharacteristic
1535C2×C3#350511yescharacteristic
1536C2×C3#351311yescharacteristic
1537C2×C3#351411yescharacteristic
1538C2×C3#351911yescharacteristic
1539C2×C3#351911yescharacteristic
1540D3—81no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—88no—
1576C22—88no—
1577C22—121no—
1578C22—121no—
1579C22—121no—
1580C22—121no—
1581C22—121no—
1582C22—121no—
1583C22—121no—
1584C22#564914yes—
1585C22C22×#23711yescharacteristic
1586C22C2×#100411yescharacteristic
1587C22C2×#100411yescharacteristic
1588C22C2×#100411yescharacteristic
1589C22C2×D3×#4111yescharacteristic
1590C22C2×D3×#4111yescharacteristic
1591C22#596411yescharacteristic
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—62no—
1603C4—62no—
1604C4—62no—
1605C4—62no—
1606C4—121no—
1607C4—121no—
1608C4—121no—
1609C4—121no—
1610C4—121no—
1611C4—121no—
1612C4—121no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C3#3571611yescharacteristic, complemented, Sylow
1618C2—24no—
1619C2—42no—
1620C2—42no—
1621C2—42no—
1622C2—81no—
1623C2—241no—
1624C2#8591311yescharacteristic
1625C2#8593711yescharacteristic
1626C2#8595111yescharacteristic
1627C2#8595111yescharacteristic
1628C2C2×#564911yescharacteristic
1629C2#8601311yescharacteristic
1630C2#8607711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#394C2
prime radical#84048C2
hypercenterC2×#394D3
hypocenterC3#35716
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#394

Complements

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

NH ≅ G/Ntype
1. C2×C3×#394C2semidirect
3. D4×#217C2semidirect
4. #82174C2semidirect
5. #82161C2semidirect
6. #82131C2semidirect
7. #82112C2semidirect
8. #82111C2semidirect
9. #82110C2semidirect
10. #82099C2semidirect
11. #82099C2semidirect
12. #82098C2semidirect
13. #82083C2semidirect
14. #76993C2semidirect
15. #76985C2semidirect
16. #76961C2semidirect
17. #76958C2semidirect
18. #76957C2semidirect
19. #76954C2semidirect
20. #76939C2semidirect
21. #76934C2semidirect
22. #76929C2semidirect
23. #76928C2semidirect
24. #76921C2semidirect
25. #76913C2semidirect
26. #76911C2semidirect
27. #76902C2semidirect
28. #76892C2semidirect
29. #76891C2semidirect
30. #73356C2semidirect
31. #73339C2semidirect
50. C2×#892C22semidirect
51. C2×#889C22semidirect
52. C2×#885C22semidirect
53. C2×#67⋊C4C22semidirect
54. C2×#67⋊C4C22semidirect
55. C2×#879C22semidirect
56. C2×#878C22semidirect
57. C2×#877C22semidirect
100. #4990C22semidirect
101. #4990C22semidirect
102. #4987C22semidirect
103. #4985C22semidirect
104. #4983C22semidirect
105. #4982C22semidirect
106. #4981C22semidirect
107. #4980C22semidirect
108. #4978C22semidirect
109. #4978C22semidirect
110. #4978C22semidirect
111. #4977C22semidirect
112. #4976C22semidirect
113. Dic3×C4⋊C4C22semidirect
114. #4961C22semidirect
115. #4959C22semidirect
116. #4959C22semidirect
117. #4959C22semidirect
118. #4959C22semidirect
119. #4959C22semidirect
120. #4958C22semidirect
121. #4958C22semidirect
122. #4957C22semidirect
123. #4957C22semidirect
124. #4957C22semidirect
125. #4956C22semidirect
126. #4956C22semidirect
127. #4953C22semidirect
128. #4952C22semidirect
129. #4952C22semidirect
130. #4952C22semidirect
131. #4952C22semidirect
132. #4952C22semidirect
133. #4952C22semidirect
134. #4952C22semidirect
135. #4951C22semidirect
136. #4951C22semidirect
137. #4950C22semidirect
138. #4949C22semidirect
139. #4948C22semidirect
140. #4948C22semidirect
141. #4948C22semidirect
142. #4947C22semidirect
143. #4947C22semidirect
144. #4946C22semidirect
145. #4946C22semidirect
146. #4946C22semidirect
147. #4945C22semidirect
148. #4945C22semidirect
149. #4945C22semidirect
150. #4945C22semidirect
151. #4945C22semidirect
152. #4944C22semidirect
153. #4944C22semidirect
154. #4944C22semidirect
155. #4944C22semidirect
156. #4944C22semidirect
157. #4944C22semidirect
158. #4943C22semidirect
159. #4942C22semidirect
160. #4942C22semidirect
161. Dic3×C22⋊C4C22semidirect
162. Dic3×C22⋊C4C22semidirect
163. Dic3×C22⋊C4C22semidirect
164. Dic3×C22⋊C4C22semidirect
165. Dic3×C22⋊C4C22semidirect
166. Dic3×C22⋊C4C22semidirect
167. Dic3×C22⋊C4C22semidirect
168. Dic3×C22⋊C4C22semidirect
169. Dic3×C22⋊C4C22semidirect
170. Dic3×C22⋊C4C22semidirect
171. Dic3×C22⋊C4C22semidirect
172. #4675C22semidirect
173. #4674C22semidirect
174. #4670C22semidirect
175. #4669C22semidirect
176. C3⋊#401C22semidirect
177. #4660C22semidirect
178. #4654C22semidirect
179. #4653C22semidirect
180. #4653C22semidirect
181. #4652C22semidirect
182. #4652C22semidirect
183. #4651C22semidirect
184. #4649C22semidirect
185. #4649C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
211. C2×#394D3semidirect
1617. C3#35716semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#3942
#840482
D4×#2172
#821742
#821612
#821312
#821122
#821112
#821102
#820992
#820982
#820832
#769932
#769852
#769612
#769582
#769572
#769542
#769392
#769342
#769292
#769282
#769212
#769132
#769112
#769022
#768922
#768912
#733562
#733392
#357163