Finite Group Databasebeta

← #11042134

Subgroups — #11042134

Order 768.

1740 conjugacy classes of subgroups.

The subgroup lattice has 1454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2462C211yesmaximal, characteristic, complemented
2#83070C211yesmaximal, characteristic, complemented
3#83058C211yesmaximal, characteristic, complemented
4#82495C211yesmaximal, characteristic, complemented
5C4×#946C211yesmaximal, characteristic, complemented
6#77967C211yesmaximal, characteristic
7#77887C211yesmaximal, characteristic, complemented
8#77813C211yesmaximal, characteristic, complemented
9#77760C211yesmaximal, characteristic, complemented
10#77262C211yesmaximal, characteristic, complemented
11#77259C211yesmaximal, characteristic, complemented
12#77188C211yesmaximal, characteristic, complemented
13#77184C211yesmaximal, characteristic, complemented
14#76286C211yesmaximal, characteristic, complemented
15#76242C211yesmaximal, characteristic, complemented
16#76113C211yesmaximal, characteristic, complemented
17#76051C211yesmaximal, characteristic, complemented
18#75434C211yesmaximal, characteristic, complemented
19#75384C211yesmaximal, characteristic, complemented
20#75384C211yesmaximal, characteristic, complemented
21#75356C211yesmaximal, characteristic, complemented
22#75151C211yesmaximal, characteristic, complemented
23#75036C211yesmaximal, characteristic, complemented
24#75036C211yesmaximal, characteristic, complemented
25#75018C211yesmaximal, characteristic, complemented
26#75001C211yesmaximal, characteristic, complemented
27#74975C211yesmaximal, characteristic, complemented
28#74944C211yesmaximal, characteristic, complemented
29#74937C211yesmaximal, characteristic, complemented
30#73649C211yesmaximal, characteristic, complemented
31#73629C211yesmaximal, characteristic, complemented
32#38349—31nomaximal, Sylow
33C2×C3×#125C2211yescharacteristic
34C2×C3×C4×Q8C2211yescharacteristic
35C2×#947C2211yescharacteristic
36C2×#946C2211yescharacteristic
37C2×#946C2211yescharacteristic
38C2×#898C2211yescharacteristic
39C2×#898C2211yescharacteristic
40C2×#895C2211yescharacteristic
41C2×#895C2211yescharacteristic
42C2×#895C2211yescharacteristic
43C2×#894C2211yescharacteristic
44C2×#894C2211yescharacteristic
45C2×#894C2211yescharacteristic
46C2×#893C2211yescharacteristic
47C2×#892C2211yescharacteristic
48C2×#892C2211yescharacteristic
49C2×#890C2211yescharacteristic
50C2×C42×D3C2211yescharacteristic
51C3×#398C2211yescharacteristic
52C3×#398C2211yescharacteristic
53C3×#395C2211yescharacteristic
54C3×#395C2211yescharacteristic
55C3×#389C2211yescharacteristic
56C3×#389C2211yescharacteristic
57C3×#387C2211yescharacteristic
58C3×#387C2211yescharacteristic
59C3×#387C2211yescharacteristic
60C3×#387C2211yescharacteristic
61C3×#387C2211yescharacteristic
62C3×#387C2211yescharacteristic
63C3×C4×C4⋊C4C2211yescharacteristic
64#5229C2211yescharacteristic
65#4994C2211yescharacteristic
66#4994C2211yescharacteristic
67#4994C2211yescharacteristic
68#4994C2211yescharacteristic
69#4994C2211yescharacteristic
70#4994C2211yescharacteristic
71#4993C2211yescharacteristic
72#4993C2211yescharacteristic
73#4993C2211yescharacteristic
74#4991C2211yescharacteristic
75#4991C2211yescharacteristic
76#4991C2211yescharacteristic
77#4991C2211yescharacteristic
78#4991C2211yescharacteristic
79#4991C2211yescharacteristic
80#4991C2211yescharacteristic
81#4990C2211yescharacteristic
82#4990C2211yescharacteristic
83#4990C2211yescharacteristic
84#4990C2211yescharacteristic
85#4990C2211yescharacteristic
86#4989C2211yescharacteristic
87#4989C2211yescharacteristic
88#4989C2211yescharacteristic
89#4989C2211yescharacteristic
90#4988C2211yescharacteristic
91#4988C2211yescharacteristic
92#4987C2211yescharacteristic
93#4987C2211yescharacteristic
94#4987C2211yescharacteristic
95#4984C2211yescharacteristic
96#4984C2211yescharacteristic
97#4984C2211yescharacteristic
98#4982C2211yescharacteristic
99#4982C2211yescharacteristic
100#4982C2211yescharacteristic
101#4982C2211yescharacteristic
102#4980C2211yescharacteristic
103#4980C2211yescharacteristic
104#4978C2211yescharacteristic
105#4978C2211yescharacteristic
106#4978C2211yescharacteristic
107#4976C2211yescharacteristic
108#4975C2211yescharacteristic
109Dic3×C4⋊C4C2211yescharacteristic
110#4972C2211yescharacteristic
111#4972C2211yescharacteristic
112#4972C2211yescharacteristic
113#4940C2211yescharacteristic
114#4940C2211yescharacteristic
115#4940C2211yescharacteristic
116#4940C2211yescharacteristic
117#4939C2211yescharacteristic
118#4939C2211yescharacteristic
119#4939C2211yescharacteristic
120#4939C2211yescharacteristic
121#4939C2211yescharacteristic
122C4×(C2×D3)⋊C4C2211yescharacteristic
123C4×(C2×D3)⋊C4C2211yescharacteristic
124C4×(C2×D3)⋊C4C2211yescharacteristic
125C4×(C2×D3)⋊C4C2211yescharacteristic
126C4×(C2×D3)⋊C4C2211yescharacteristic
127C4×C4⋊Dic3C2211yescharacteristic
128#4933C2211yescharacteristic
129C4×Dic3⋊C4C2211yescharacteristic
130C4×Dic3⋊C4C2211yescharacteristic
131#4928C2211yescharacteristic
132#4677C2211yescharacteristic
133#4677C2211yescharacteristic
134#4677C2211yescharacteristic
135#4675C2211yescharacteristic
136#4675C2211yescharacteristic
137#4675C2211yescharacteristic
138#4674C2211yescharacteristic
139#4674C2211yescharacteristic
140#4672C2211yescharacteristic
141#4672C2211yescharacteristic
142#4672C2211yescharacteristic
143#4672C2211yescharacteristic
144#4671C2211yescharacteristic
145#4670C2211yescharacteristic
146#4670C2211yescharacteristic
147#4670C2211yescharacteristic
148#4670C2211yescharacteristic
149#4670C2211yescharacteristic
150#4670C2211yescharacteristic
151#4670C2211yescharacteristic
152#4670C2211yescharacteristic
153#4670C2211yescharacteristic
154#4669C2211yescharacteristic
155#4669C2211yescharacteristic
156#4669C2211yescharacteristic
157#4669C2211yescharacteristic
158#4669C2211yescharacteristic
159#4669C2211yescharacteristic
160#4668C2211yescharacteristic
161#4668C2211yescharacteristic
162#4668C2211yescharacteristic
163#4667C2211yescharacteristic
164#4667C2211yescharacteristic
165#4666C2211yescharacteristic
166#4666C2211yescharacteristic
167#4666C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4661C2211yescharacteristic
176#4661C2211yescharacteristic
177#4661C2211yescharacteristic
178#4654C2211yescharacteristic
179#4654C2211yescharacteristic
180#4653C2211yescharacteristic
181#4653C2211yescharacteristic
182#4651C2211yescharacteristic
183#4650C2211yescharacteristic
184#4650C2211yescharacteristic
185#4649C2211yescharacteristic
186#4649C2211yescharacteristic
187#4648C2211yescharacteristic
188#2854—31no—
189#2786—31no—
190#2768—31no—
191#2711—31no—
192#2705—31no—
193#2694—31no—
194#2680—31no—
195#2672—31no—
196#2671—31no—
197#2651—31no—
198#2651—31no—
199#2606—31no—
200#2556—31no—
201#2531—31no—
202#2522—31no—
203#2521—31no—
204#2519—31no—
205#2518—31no—
206#2518—31no—
207#2479—31no—
208#2476—31no—
209#2467—31no—
210#2462D311yescharacteristic, complemented
211#2441—31no—
212#2426—31no—
213#2374—31no—
214#2363—31no—
215#2334—31no—
216#2314—31no—
217C4×C22⋊Q8—31no—
218#2290—31no—
219C22×C3×Q8C2311yescharacteristic
220C22×D12C2311yescharacteristic
221C22×D12C2311yescharacteristic
222C22×D12C2311yescharacteristic
223C22×D12C2311yescharacteristic
224C22×D12C2311yescharacteristic
225C22×D12C2311yescharacteristic
226C22×C4×D3C2311yescharacteristic
227C22×C4×D3C2311yescharacteristic
228C22×C4×D3C2311yescharacteristic
229C22×C4×D3C2311yescharacteristic
230C22×C4×D3C2311yescharacteristic
231C22×C4×D3C2311yescharacteristic
232C3×#125—42no—
233C3×C4×Q8—42no—
234C2×C3×C4⋊C4C2311yescharacteristic
235C2×C3×C4⋊C4C2311yescharacteristic
236C2×C3×C4⋊C4C2311yescharacteristic
237C2×C3×C4⋊C4C2311yescharacteristic
238C2×C3×C4⋊C4C2311yescharacteristic
239C2×C3×C4⋊C4C2311yescharacteristic
240C2×C3×C4⋊C4C2311yescharacteristic
241C2×C3×C4⋊C4C2311yescharacteristic
242C2×C3×C4⋊C4C2311yescharacteristic
243C2×C3×C4⋊C4C2311yescharacteristic
244C2×C3×C4⋊C4C2311yescharacteristic
245C2×C3×C4⋊C4C2311yescharacteristic
246C2×C3×C4⋊C4C2311yescharacteristic
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C42C2311yescharacteristic
250C2×C3×C42C2311yescharacteristic
251C2×C3×C42C2311yescharacteristic
252C2×C3×C42C2311yescharacteristic
253C2×C3×C42C2311yescharacteristic
254#947—42no—
255#946—24no—
256#946—42no—
257C2×(C2×D3)⋊C4C2311yescharacteristic
258C2×(C2×D3)⋊C4C2311yescharacteristic
259C2×(C2×D3)⋊C4C2311yescharacteristic
260C2×(C2×D3)⋊C4C2311yescharacteristic
261C2×(C2×D3)⋊C4C2311yescharacteristic
262C2×(C2×D3)⋊C4C2311yescharacteristic
263C2×(C2×D3)⋊C4C2311yescharacteristic
264C2×(C2×D3)⋊C4C2311yescharacteristic
265C2×(C2×D3)⋊C4C2311yescharacteristic
266C2×(C2×D3)⋊C4C2311yescharacteristic
267C2×(C2×D3)⋊C4C2311yescharacteristic
268C2×(C2×D3)⋊C4C2311yescharacteristic
269C2×(C2×D3)⋊C4C2311yescharacteristic
270C2×(C2×D3)⋊C4C2311yescharacteristic
271C2×(C2×D3)⋊C4C2311yescharacteristic
272C2×(C2×D3)⋊C4C2311yescharacteristic
273C2×(C2×D3)⋊C4C2311yescharacteristic
274C2×(C2×D3)⋊C4C2311yescharacteristic
275C2×(C2×D3)⋊C4C2311yescharacteristic
276C2×(C2×D3)⋊C4C2311yescharacteristic
277C2×(C2×D3)⋊C4C2311yescharacteristic
278C2×(C2×D3)⋊C4C2311yescharacteristic
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×C4⋊Dic3C2311yescharacteristic
300C2×C4⋊Dic3C2311yescharacteristic
301C2×C4⋊Dic3C2311yescharacteristic
302C2×C4⋊Dic3C2311yescharacteristic
303C2×C4⋊Dic3C2311yescharacteristic
304C2×C4⋊Dic3C2311yescharacteristic
305C2×C4⋊Dic3C2311yescharacteristic
306C2×C4⋊Dic3C2311yescharacteristic
307C2×C4⋊Dic3C2311yescharacteristic
308C2×C4⋊Dic3C2311yescharacteristic
309C2×C4⋊Dic3C2311yescharacteristic
310C2×C4⋊Dic3C2311yescharacteristic
311C2×Dic3⋊C4C2311yescharacteristic
312C2×Dic3⋊C4C2311yescharacteristic
313C2×Dic3⋊C4C2311yescharacteristic
314C2×Dic3⋊C4C2311yescharacteristic
315C2×Dic3⋊C4C2311yescharacteristic
316C2×Dic3⋊C4C2311yescharacteristic
317C2×Dic3⋊C4C2311yescharacteristic
318C2×Dic3⋊C4C2311yescharacteristic
319C2×Dic3⋊C4C2311yescharacteristic
320C2×Dic3⋊C4C2311yescharacteristic
321C2×Dic3⋊C4C2311yescharacteristic
322C2×Dic3⋊C4C2311yescharacteristic
323C2×Dic3⋊C4C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×C4×Dic3C2311yescharacteristic
326C2×C4×Dic3C2311yescharacteristic
327C2×C4×Dic3C2311yescharacteristic
328C2×C4×Dic3C2311yescharacteristic
329C2×C4×Dic3C2311yescharacteristic
330C2×C4×Dic3C2311yescharacteristic
331C2×C4×Dic3C2311yescharacteristic
332C2×C4×Dic3C2311yescharacteristic
333C2×C4×Dic3C2311yescharacteristic
334C2×C4×Dic3C2311yescharacteristic
335C2×C4×Dic3C2311yescharacteristic
336C2×C4×Dic3C2311yescharacteristic
337#898—24no—
338#898—42no—
339#895—24no—
340#895—42no—
341#895—42no—
342#894—24no—
343#894—42no—
344#894—42no—
345#893—24no—
346#892—24no—
347#892—42no—
348#890—42no—
349C42×D3—42no—
350C3×#95C2311yescharacteristic
351C3×#95C2311yescharacteristic
352C3×#95C2311yescharacteristic
353C3×#95C2311yescharacteristic
354C3×#95C2311yescharacteristic
355C3×#95C2311yescharacteristic
356C3×#95C2311yescharacteristic
357C3×#95C2311yescharacteristic
358C3×#95C2311yescharacteristic
359C3×#95C2311yescharacteristic
360C3×#95C2311yescharacteristic
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
392C2×#126—31no—
393C2×#126—31no—
394C2×#125—31no—
395C2×#125C2×D311yescharacteristic
396C2×#124—31no—
397C2×#123—31no—
398C2×#123—31no—
399C2×#123—31no—
400C2×C22⋊Q8—31no—
401C2×C22⋊Q8—31no—
402C2×#121—31no—
403C2×#121—31no—
404C2×#121—31no—
405C2×C4×Q8C2×D311yescharacteristic
406C2×C4×D4—31no—
407C2×#117—31no—
408C2×#117—31no—
409C22×C42—31no—
410#399—31no—
411#399—31no—
412#399—31no—
413#399—31no—
414#399—31no—
415#399—31no—
416#398—31no—
417#398—31no—
418#398—31no—
419#398—31no—
420#398—31no—
421#398—31no—
422#398—31no—
423#398C2×D311yescharacteristic
424#398C2×D311yescharacteristic
425#397—31no—
426#397—31no—
427#397—31no—
428#397—31no—
429#397—31no—
430#396—31no—
431#396—31no—
432#396—31no—
433#396—31no—
434#396—31no—
435#396—31no—
436#395C2×D311yescharacteristic
437#395C2×D311yescharacteristic
438#394—31no—
439#394—31no—
440#394—31no—
441#394—31no—
442#394—31no—
443#394—31no—
444#394—31no—
445#394—31no—
446#394—31no—
447#394—31no—
448#394—31no—
449#392—31no—
450#391—31no—
451#390—31no—
452#390—31no—
453#390—31no—
454#390—31no—
455#390—31no—
456#390—31no—
457#390—31no—
458#389—31no—
459#389—31no—
460#389—31no—
461#389—31no—
462#389—31no—
463#389—31no—
464#389—31no—
465#389—31no—
466#389C2×D311yescharacteristic
467#389C2×D311yescharacteristic
468#388—31no—
469#388—31no—
470#388—31no—
471#388—31no—
472#388—31no—
473#388—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#388—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#387—31no—
501#387—31no—
502#387C2×D311yescharacteristic
503#387C2×D311yescharacteristic
504#387C2×D311yescharacteristic
505#387C2×D311yescharacteristic
506#387C2×D311yescharacteristic
507#387C2×D311yescharacteristic
508#386—31no—
509#386—31no—
510#386—31no—
511#386—31no—
512#386—31no—
513#386—31no—
514#386—31no—
515#385—31no—
516#385—31no—
517#385—31no—
518#385—31no—
519#385—31no—
520#385—31no—
521#385—31no—
522#384—31no—
523#383—31no—
524#382—31no—
525#382—31no—
526#380—31no—
527#380—31no—
528#380—31no—
529#380—31no—
530#380—31no—
531C4×C4⋊C4—31no—
532C4×C4⋊C4—31no—
533C4×C4⋊C4—31no—
534C4×C4⋊C4—31no—
535C4×C4⋊C4—31no—
536C4×C4⋊C4—31no—
537C4×C4⋊C4C2×D311yescharacteristic
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—
546#376—31no—
547C23×D3C2411yescharacteristic
548C23×D3C2411yescharacteristic
549C23×D3C2411yescharacteristic
550C23×D3C2411yescharacteristic
551C2×C3×Q8—22no—
552C2×C3×Q8—22no—
553C2×C3×Q8—41no—
554C22×C3×C4C2411yescharacteristic
555C22×C3×C4C2411yescharacteristic
556C22×C3×C4C2411yescharacteristic
557C22×C3×C4C2411yescharacteristic
558C22×C3×C4C2411yescharacteristic
559C22×C3×C4C2411yescharacteristic
560C22×C3×C4C2411yescharacteristic
561C22×C3×C4C2411yescharacteristic
562C22×C3×C4C2411yescharacteristic
563C22×C3×C4C2411yescharacteristic
564C22×C3×C4C2411yescharacteristic
565C22×C3×C4C2411yescharacteristic
566C22×C3×C4C2411yescharacteristic
567C22×C3×C4C2411yescharacteristic
568C22×C3×C4C2411yescharacteristic
569C22×Dic3C2411yescharacteristic
570C22×Dic3C2411yescharacteristic
571C22×Dic3C2411yescharacteristic
572C22×Dic3C2411yescharacteristic
573C22×Dic3C2411yescharacteristic
574C22×Dic3C2411yescharacteristic
575C22×Dic3C2411yescharacteristic
576C22×Dic3C2411yescharacteristic
577C22×Dic3C2411yescharacteristic
578C22×Dic3C2411yescharacteristic
579C22×Dic3C2411yescharacteristic
580C22×Dic3C2411yescharacteristic
581C2×D12—22no—
582C2×D12—22no—
583C2×D12—22no—
584C2×D12—22no—
585C2×D12—22no—
586C2×D12—22no—
587C2×D12—41no—
588C2×D12—41no—
589C2×D12—41no—
590C2×D12—41no—
591C2×D12—41no—
592C2×D12—41no—
593C2×D12—41no—
594C2×D12—41no—
595C2×D12—41no—
596C2×D12—41no—
597C2×D12—41no—
598C2×D12—41no—
599C2×C4×D3—22no—
600C2×C4×D3—22no—
601C2×C4×D3—22no—
602C2×C4×D3—22no—
603C2×C4×D3—22no—
604C2×C4×D3—22no—
605C2×C4×D3—22no—
606C2×C4×D3—22no—
607C2×C4×D3—22no—
608C2×C4×D3—22no—
609C2×C4×D3—41no—
610C2×C4×D3—41no—
611C2×C4×D3—41no—
612C2×C4×D3—41no—
613C2×C4×D3—41no—
614C2×C4×D3—41no—
615C2×C4×D3—41no—
616C2×C4×D3—41no—
617C3×C4⋊C4—22no—
618C3×C4⋊C4—22no—
619C3×C4⋊C4—22no—
620C3×C4⋊C4—22no—
621C3×C4⋊C4—22no—
622C3×C4⋊C4—22no—
623C3×C4⋊C4—22no—
624C3×C4⋊C4—22no—
625C3×C4⋊C4—41no—
626C3×C4⋊C4—41no—
627C3×C4⋊C4—41no—
628C3×C4⋊C4—41no—
629C3×C4⋊C4—41no—
630C3×C4⋊C4—41no—
631C3×C4⋊C4#4114yes—
632C3×C42—22no—
633C3×C42—41no—
634C3×C42—41no—
635C3×C42—41no—
636C3×C42—41no—
637(C2×D3)⋊C4—22no—
638(C2×D3)⋊C4—22no—
639(C2×D3)⋊C4—22no—
640(C2×D3)⋊C4—22no—
641(C2×D3)⋊C4—22no—
642(C2×D3)⋊C4—22no—
643(C2×D3)⋊C4—22no—
644(C2×D3)⋊C4—22no—
645(C2×D3)⋊C4—22no—
646(C2×D3)⋊C4—22no—
647(C2×D3)⋊C4—22no—
648(C2×D3)⋊C4—22no—
649(C2×D3)⋊C4—22no—
650(C2×D3)⋊C4—22no—
651(C2×D3)⋊C4—22no—
652(C2×D3)⋊C4—22no—
653(C2×D3)⋊C4—22no—
654(C2×D3)⋊C4—41no—
655(C2×D3)⋊C4—41no—
656(C2×D3)⋊C4—41no—
657(C2×D3)⋊C4—41no—
658(C2×D3)⋊C4—41no—
659(C2×D3)⋊C4—41no—
660(C2×D3)⋊C4—41no—
661(C2×D3)⋊C4—41no—
662(C2×D3)⋊C4—41no—
663(C2×D3)⋊C4—41no—
664(C2×D3)⋊C4—41no—
665(C2×D3)⋊C4—41no—
666(C2×D3)⋊C4—41no—
667(C2×D3)⋊C4—41no—
668(C2×D3)⋊C4—41no—
669(C2×D3)⋊C4—41no—
670(C2×D3)⋊C4—41no—
671(C2×D3)⋊C4—41no—
672(C2×D3)⋊C4—41no—
673(C2×D3)⋊C4—41no—
674(C2×D3)⋊C4—41no—
675(C2×D3)⋊C4—41no—
676(C2×D3)⋊C4—41no—
677(C2×D3)⋊C4—41no—
678(C2×D3)⋊C4#4114yes—
679C4⋊Dic3—22no—
680C4⋊Dic3—22no—
681C4⋊Dic3—22no—
682C4⋊Dic3—22no—
683C4⋊Dic3—41no—
684C4⋊Dic3—41no—
685C4⋊Dic3—41no—
686C4⋊Dic3—41no—
687C4⋊Dic3—41no—
688C4⋊Dic3—41no—
689C4⋊Dic3—41no—
690C4⋊Dic3—41no—
691Dic3⋊C4—22no—
692Dic3⋊C4—22no—
693Dic3⋊C4—22no—
694Dic3⋊C4—22no—
695Dic3⋊C4—22no—
696Dic3⋊C4—41no—
697Dic3⋊C4—41no—
698Dic3⋊C4—41no—
699Dic3⋊C4—41no—
700Dic3⋊C4—41no—
701Dic3⋊C4—41no—
702Dic3⋊C4—41no—
703Dic3⋊C4—41no—
704Dic3⋊C4—41no—
705C4×Dic3—22no—
706C4×Dic3—22no—
707C4×Dic3—22no—
708C4×Dic3—22no—
709C4×Dic3—22no—
710C4×Dic3—22no—
711C4×Dic3—41no—
712C4×Dic3—41no—
713C4×Dic3—41no—
714C4×Dic3—41no—
715C4×Dic3—41no—
716C4×Dic3—41no—
717C22×Q8C22×D311yescharacteristic
718C22×D4—31no—
719C22×D4—31no—
720C22×D4—31no—
721C22×D4—31no—
722C22×D4—31no—
723C22×D4—31no—
724C23×C4—31no—
725C23×C4—31no—
726C23×C4—31no—
727C23×C4—31no—
728C23×C4—31no—
729C23×C4—31no—
730#126—64no—
731#126—122no—
732#125—42no—
733#125—122no—
734#124—122no—
735#123—64no—
736#123—122no—
737#123—122no—
738C22⋊Q8—64no—
739C22⋊Q8—122no—
740#121—64no—
741#121—122no—
742#121—122no—
743C4×Q8—42no—
744C4×D4—64no—
745#117—64no—
746#117—122no—
747C2×C4⋊C4—31no—
748C2×C4⋊C4—31no—
749C2×C4⋊C4—31no—
750C2×C4⋊C4—31no—
751C2×C4⋊C4—31no—
752C2×C4⋊C4—31no—
753C2×C4⋊C4—31no—
754C2×C4⋊C4—31no—
755C2×C4⋊C4—31no—
756C2×C4⋊C4—31no—
757C2×C4⋊C4—31no—
758C2×C4⋊C4—31no—
759C2×C4⋊C4—31no—
760C2×C4⋊C4—31no—
761C2×C4⋊C4—31no—
762C2×C4⋊C4—31no—
763C2×C4⋊C4—31no—
764C2×C4⋊C4—31no—
765C2×C4⋊C4—31no—
766C2×C4⋊C4—31no—
767C2×C4⋊C4—31no—
768C2×C4⋊C4—31no—
769C2×C4⋊C4—31no—
770C2×C4⋊C4—31no—
771C2×C4⋊C4—31no—
772C2×C4⋊C4—31no—
773C2×C4⋊C4C22×D311yescharacteristic
774C2×C4⋊C4C22×D311yescharacteristic
775C2×C4⋊C4C22×D311yescharacteristic
776C2×C4⋊C4C22×D311yescharacteristic
777C2×C4⋊C4C22×D311yescharacteristic
778C2×C4⋊C4C22×D311yescharacteristic
779C2×C4⋊C4C22×D311yescharacteristic
780C2×C4⋊C4C22×D311yescharacteristic
781C2×C4⋊C4C22×D311yescharacteristic
782C2×C4⋊C4C22×D311yescharacteristic
783C2×C4⋊C4C22×D311yescharacteristic
784C2×C4⋊C4C22×D311yescharacteristic
785C2×C4⋊C4C22×D311yescharacteristic
786C2×C4⋊C4C22×D311yescharacteristic
787C2×C4⋊C4C22×D311yescharacteristic
788C2×C22⋊C4—31no—
789C2×C22⋊C4—31no—
790C2×C22⋊C4—31no—
791C2×C22⋊C4—31no—
792C2×C22⋊C4—31no—
793C2×C22⋊C4—31no—
794C2×C22⋊C4—31no—
795C2×C22⋊C4—31no—
796C2×C22⋊C4—31no—
797C2×C22⋊C4—31no—
798C2×C22⋊C4—31no—
799C2×C22⋊C4—31no—
800C2×C22⋊C4—31no—
801C2×C22⋊C4—31no—
802C2×C22⋊C4—31no—
803C2×C22⋊C4—31no—
804C2×C22⋊C4—31no—
805C2×C22⋊C4—31no—
806C2×C22⋊C4—31no—
807C2×C22⋊C4—31no—
808C2×C22⋊C4—31no—
809C2×C22⋊C4—31no—
810C2×C22⋊C4—31no—
811C2×C22⋊C4—31no—
812C2×C22⋊C4—31no—
813C2×C22⋊C4—31no—
814C2×C22⋊C4—31no—
815C2×C22⋊C4—31no—
816C2×C22⋊C4—31no—
817C2×C22⋊C4—31no—
818C2×C22⋊C4—31no—
819C2×C22⋊C4—31no—
820C2×C22⋊C4—31no—
821C2×C22⋊C4—31no—
822C2×C22⋊C4—31no—
823C2×C22⋊C4—31no—
824C2×C22⋊C4—31no—
825C2×C22⋊C4—31no—
826C2×C22⋊C4—31no—
827C2×C22⋊C4—31no—
828C2×C22⋊C4—31no—
829C2×C22⋊C4—31no—
830C2×C42—31no—
831C2×C42—31no—
832C2×C42—31no—
833C2×C42—31no—
834C2×C42—31no—
835C2×C42—31no—
836C2×C42—31no—
837C2×C42—31no—
838C2×C42—31no—
839C2×C42—31no—
840C2×C42—31no—
841C2×C42—31no—
842C2×C42—122no—
843C2×C42C22×D311yescharacteristic
844C2×C42C22×D311yescharacteristic
845C2×C42C22×D311yescharacteristic
846C2×C42C22×D311yescharacteristic
847C2×C42C22×D311yescharacteristic
848#95—31no—
849#95—31no—
850#95—31no—
851#95—31no—
852#95—31no—
853#95—31no—
854#95—31no—
855#95—31no—
856#95—31no—
857#95—31no—
858#95—31no—
859#95—31no—
860#95—31no—
861#95—31no—
862#95—31no—
863#95—31no—
864#95—31no—
865#95—31no—
866#95—31no—
867#95—31no—
868#95—31no—
869#95—31no—
870#95—31no—
871#95—31no—
872#95—31no—
873#95—31no—
874#95—31no—
875#95—31no—
876#95C22×D311yescharacteristic
877#95C22×D311yescharacteristic
878#95C22×D311yescharacteristic
879#95C22×D311yescharacteristic
880#95C22×D311yescharacteristic
881#95C22×D311yescharacteristic
882#95C22×D311yescharacteristic
883#95C22×D311yescharacteristic
884#95C22×D311yescharacteristic
885#95C22×D311yescharacteristic
886#95C22×D311yescharacteristic
887#95C22×D311yescharacteristic
888#95C22×D311yescharacteristic
889#95C22×D311yescharacteristic
890C23×C3C2511yescharacteristic
891C22×D3—21no—
892C22×D3—21no—
893C22×D3—21no—
894C22×D3—21no—
895C22×D3—21no—
896C22×D3—21no—
897C22×D3—21no—
898C22×D3—21no—
899C22×D3—21no—
900C22×D3—21no—
901C22×D3—21no—
902C22×D3—21no—
903C22×D3—21no—
904C22×D3—21no—
905C22×D3—21no—
906C22×D3—21no—
907C22×D3—21no—
908C22×D3—21no—
909C22×D3—21no—
910C22×D3—21no—
911C22×D3—21no—
912C22×D3—21no—
913C22×D3—21no—
914C22×D3—21no—
915C22×D3—21no—
916C22×D3—21no—
917C22×D3—21no—
918C22×D3C2×#4112yes—
919C3×Q8—44no—
920C2×C3×C4—21no—
921C2×C3×C4—21no—
922C2×C3×C4—21no—
923C2×C3×C4—21no—
924C2×C3×C4—21no—
925C2×C3×C4—21no—
926C2×C3×C4—21no—
927C2×C3×C4—21no—
928C2×C3×C4—21no—
929C2×C3×C4—21no—
930C2×C3×C4—21no—
931C2×C3×C4—21no—
932C2×C3×C4—21no—
933C2×C3×C4—21no—
934C2×C3×C4—21no—
935C2×C3×C4—21no—
936C2×C3×C4—21no—
937C2×C3×C4—21no—
938C2×C3×C4—21no—
939C2×C3×C4—21no—
940C2×C3×C4—21no—
941C2×C3×C4—21no—
942C2×C3×C4—21no—
943C2×C3×C4—21no—
944C2×C3×C4—21no—
945C2×C3×C4—21no—
946C2×C3×C4—21no—
947C2×C3×C4—21no—
948C2×C3×C4—21no—
949C2×C3×C4—21no—
950C2×C3×C4—21no—
951C2×C3×C4—21no—
952C2×C3×C4—21no—
953C2×C3×C4—21no—
954C2×C3×C4—21no—
955C2×C3×C4—21no—
956C2×C3×C4—21no—
957C2×C3×C4—21no—
958C2×C3×C4—21no—
959C2×C3×C4C2×#4112yes—
960C2×C3×C4C2×#4112yes—
961C2×C3×C4C2×#4112yes—
962C2×C3×C4C2×#4112yes—
963C2×C3×C4H(5,𝔽2)12yes—
964C2×C3×C4H(5,𝔽2)12yes—
965C2×Dic3—21no—
966C2×Dic3—21no—
967C2×Dic3—21no—
968C2×Dic3—21no—
969C2×Dic3—21no—
970C2×Dic3—21no—
971C2×Dic3—21no—
972C2×Dic3—21no—
973C2×Dic3—21no—
974C2×Dic3—21no—
975C2×Dic3—21no—
976C2×Dic3—21no—
977C2×Dic3—21no—
978C2×Dic3—21no—
979C2×Dic3—21no—
980C2×Dic3—21no—
981C2×Dic3—21no—
982C2×Dic3—21no—
983C2×Dic3—21no—
984C2×Dic3—21no—
985C2×Dic3—21no—
986C2×Dic3—21no—
987C2×Dic3—21no—
988C2×Dic3—21no—
989C2×Dic3—21no—
990C2×Dic3—21no—
991C2×Dic3—21no—
992C2×Dic3—21no—
993C2×Dic3—21no—
994C2×Dic3—21no—
995C2×Dic3—21no—
996C2×Dic3—21no—
997C2×Dic3—21no—
998C2×Dic3—21no—
999C2×Dic3C2×#4112yes—
1000C2×Dic32−1+412yes—
1001D12—44no—
1002D12—82no—
1003D12—82no—
1004D12—82no—
1005D12—82no—
1006D12—82no—
1007C4×D3—44no—
1008C4×D3—44no—
1009C4×D3—44no—
1010C4×D3—44no—
1011C4×D3—44no—
1012C4×D3—82no—
1013C24—31no—
1014C24—31no—
1015C24—31no—
1016C24—31no—
1017C2×Q8—22no—
1018C2×Q8—22no—
1019C2×Q8—41no—
1020C2×D4—62no—
1021C2×D4—62no—
1022C2×D4—62no—
1023C2×D4—62no—
1024C2×D4—62no—
1025C2×D4—62no—
1026C2×D4—121no—
1027C2×D4—121no—
1028C2×D4—121no—
1029C2×D4—121no—
1030C2×D4—121no—
1031C2×D4—121no—
1032C2×D4—121no—
1033C2×D4—121no—
1034C2×D4—121no—
1035C2×D4—121no—
1036C2×D4—121no—
1037C2×D4—121no—
1038C22×C4—31no—
1039C22×C4—31no—
1040C22×C4—31no—
1041C22×C4—31no—
1042C22×C4—31no—
1043C22×C4—31no—
1044C22×C4—31no—
1045C22×C4—31no—
1046C22×C4—31no—
1047C22×C4—31no—
1048C22×C4—31no—
1049C22×C4—31no—
1050C22×C4—62no—
1051C22×C4—62no—
1052C22×C4—62no—
1053C22×C4—62no—
1054C22×C4—62no—
1055C22×C4—62no—
1056C22×C4—62no—
1057C22×C4—62no—
1058C22×C4—62no—
1059C22×C4—62no—
1060C22×C4—121no—
1061C22×C4—121no—
1062C22×C4—121no—
1063C22×C4—121no—
1064C22×C4—121no—
1065C22×C4—121no—
1066C22×C4—121no—
1067C22×C4—121no—
1068C22×C4C23×D311yescharacteristic
1069C22×C4C23×D311yescharacteristic
1070C22×C4C23×D311yescharacteristic
1071C22×C4C23×D311yescharacteristic
1072C22×C4C23×D311yescharacteristic
1073C22×C4C23×D311yescharacteristic
1074C22×C4C23×D311yescharacteristic
1075C22×C4C23×D311yescharacteristic
1076C22×C4C23×D311yescharacteristic
1077C22×C4C23×D311yescharacteristic
1078C22×C4C23×D311yescharacteristic
1079C22×C4C23×D311yescharacteristic
1080C22×C4C23×D311yescharacteristic
1081C22×C4C23×D311yescharacteristic
1082C22×C4C23×D311yescharacteristic
1083C4⋊C4—22no—
1084C4⋊C4—22no—
1085C4⋊C4—22no—
1086C4⋊C4—22no—
1087C4⋊C4—22no—
1088C4⋊C4—22no—
1089C4⋊C4—22no—
1090C4⋊C4—22no—
1091C4⋊C4—41no—
1092C4⋊C4—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—41no—
1097C4⋊C4—62no—
1098C4⋊C4—62no—
1099C4⋊C4—62no—
1100C4⋊C4—62no—
1101C4⋊C4—62no—
1102C4⋊C4—62no—
1103C4⋊C4—62no—
1104C4⋊C4—62no—
1105C4⋊C4—62no—
1106C4⋊C4—121no—
1107C4⋊C4—121no—
1108C4⋊C4—121no—
1109C4⋊C4—121no—
1110C4⋊C4—121no—
1111C4⋊C4—121no—
1112C4⋊C4—121no—
1113C4⋊C4—121no—
1114C4⋊C4—121no—
1115C4⋊C4—121no—
1116C4⋊C4—121no—
1117C4⋊C4—121no—
1118C4⋊C4—121no—
1119C4⋊C4—121no—
1120C4⋊C4—121no—
1121C4⋊C4—121no—
1122C4⋊C4—121no—
1123C4⋊C4#23914yes—
1124C22⋊C4—34no—
1125C22⋊C4—62no—
1126C22⋊C4—62no—
1127C22⋊C4—62no—
1128C22⋊C4—62no—
1129C22⋊C4—62no—
1130C22⋊C4—62no—
1131C22⋊C4—62no—
1132C22⋊C4—62no—
1133C22⋊C4—62no—
1134C22⋊C4—62no—
1135C22⋊C4—62no—
1136C22⋊C4—62no—
1137C22⋊C4—62no—
1138C22⋊C4—62no—
1139C22⋊C4—62no—
1140C22⋊C4—62no—
1141C22⋊C4—62no—
1142C22⋊C4—121no—
1143C22⋊C4—121no—
1144C22⋊C4—121no—
1145C22⋊C4—121no—
1146C22⋊C4—121no—
1147C22⋊C4—121no—
1148C22⋊C4—121no—
1149C22⋊C4—121no—
1150C22⋊C4—121no—
1151C22⋊C4—121no—
1152C22⋊C4—121no—
1153C22⋊C4—121no—
1154C22⋊C4—121no—
1155C22⋊C4—121no—
1156C22⋊C4—121no—
1157C22⋊C4—121no—
1158C22⋊C4—121no—
1159C22⋊C4—121no—
1160C22⋊C4—121no—
1161C22⋊C4—121no—
1162C22⋊C4—121no—
1163C22⋊C4—121no—
1164C22⋊C4—121no—
1165C22⋊C4—121no—
1166C42—22no—
1167C42—41no—
1168C42—41no—
1169C42—41no—
1170C42—41no—
1171C42—62no—
1172C42—62no—
1173C42—62no—
1174C42—62no—
1175C42—62no—
1176C42—62no—
1177C42—121no—
1178C42—121no—
1179C42—121no—
1180C42—121no—
1181C42—121no—
1182C42—121no—
1183C22×C3C22×#4111yescharacteristic
1184C22×C3C22×#4111yescharacteristic
1185C22×C3C2×H(5,𝔽2)11yescharacteristic
1186C22×C3C2×H(5,𝔽2)11yescharacteristic
1187C22×C3C2×2−1+411yescharacteristic
1188C22×C3#58511yescharacteristic
1189C22×C3#58511yescharacteristic
1190C2×D3—22no—
1191C2×D3—22no—
1192C2×D3—22no—
1193C2×D3—41no—
1194C2×D3—41no—
1195C2×D3—41no—
1196C2×D3—41no—
1197C2×D3—41no—
1198C2×D3—41no—
1199C2×D3—41no—
1200C2×D3—41no—
1201C2×D3—41no—
1202C2×D3—41no—
1203C2×D3—41no—
1204C2×D3—41no—
1205C2×D3—41no—
1206C2×D3—41no—
1207C2×D3—41no—
1208C2×D3—41no—
1209C2×D3—41no—
1210C2×D3—41no—
1211C2×D3—41no—
1212C2×D3—41no—
1213C2×D3—41no—
1214C2×D3—41no—
1215C2×D3—41no—
1216C2×D3—41no—
1217C2×D3—41no—
1218C3×C4—22no—
1219C3×C4—22no—
1220C3×C4—22no—
1221C3×C4—22no—
1222C3×C4—22no—
1223C3×C4—22no—
1224C3×C4—41no—
1225C3×C4—41no—
1226C3×C4—41no—
1227C3×C4—41no—
1228C3×C4—41no—
1229C3×C4—41no—
1230C3×C4—41no—
1231C3×C4—41no—
1232C3×C4—41no—
1233Dic3—22no—
1234Dic3—22no—
1235Dic3—41no—
1236Dic3—41no—
1237Dic3—41no—
1238Dic3—41no—
1239Dic3—41no—
1240Dic3—41no—
1241Dic3—41no—
1242Dic3—41no—
1243Dic3—41no—
1244Dic3—41no—
1245C23—32no—
1246C23—61no—
1247C23—61no—
1248C23—61no—
1249C23—61no—
1250C23—61no—
1251C23—61no—
1252C23—61no—
1253C23—61no—
1254C23—61no—
1255C23—61no—
1256C23—61no—
1257C23—61no—
1258C23—61no—
1259C23—61no—
1260C23—61no—
1261C23—61no—
1262C23—61no—
1263C23—61no—
1264C23—61no—
1265C23—61no—
1266C23—61no—
1267C23—61no—
1268C23—61no—
1269C23—61no—
1270C23—61no—
1271C23—61no—
1272C23—61no—
1273C23C24×D311yescharacteristic
1274Q8—44no—
1275D4—124no—
1276D4—242no—
1277D4—242no—
1278D4—242no—
1279D4—242no—
1280D4—242no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—32no—
1321C2×C4—32no—
1322C2×C4—61no—
1323C2×C4—61no—
1324C2×C4—61no—
1325C2×C4—61no—
1326C2×C4—61no—
1327C2×C4—61no—
1328C2×C4—61no—
1329C2×C4—61no—
1330C2×C4—61no—
1331C2×C4—61no—
1332C2×C4—61no—
1333C2×C4—61no—
1334C2×C4—61no—
1335C2×C4—61no—
1336C2×C4—61no—
1337C2×C4—61no—
1338C2×C4—61no—
1339C2×C4—61no—
1340C2×C4—61no—
1341C2×C4—61no—
1342C2×C4—61no—
1343C2×C4—61no—
1344C2×C4—61no—
1345C2×C4—61no—
1346C2×C4—61no—
1347C2×C4—61no—
1348C2×C4—61no—
1349C2×C4—61no—
1350C2×C4—61no—
1351C2×C4—61no—
1352C2×C4—61no—
1353C2×C4—61no—
1354C2×C4—61no—
1355C2×C4—61no—
1356C2×C4—124no—
1357C2×C4—124no—
1358C2×C4—124no—
1359C2×C4—124no—
1360C2×C4—124no—
1361C2×C4—242no—
1362C2×C4#100412yes—
1363C2×C4C2×#23912yes—
1364C2×C4C2×#23912yes—
1365C2×C4C2×#23912yes—
1366C2×C4D3×#4112yes—
1367C2×C4#100912yes—
1368C2×C3#346111yescharacteristic
1369C2×C3#347511yescharacteristic
1370C2×C3#351711yescharacteristic
1371C2×C3#351911yescharacteristic
1372C2×C3#352011yescharacteristic
1373C2×C3#353311yescharacteristic
1374C2×C3#354711yescharacteristic
1375D3—42no—
1376D3—81no—
1377D3—81no—
1378D3—81no—
1379C22—62no—
1380C22—62no—
1381C22—62no—
1382C22—121no—
1383C22—121no—
1384C22—121no—
1385C22—121no—
1386C22—121no—
1387C22—121no—
1388C22—121no—
1389C22—121no—
1390C22—121no—
1391C22—121no—
1392C22—121no—
1393C22—121no—
1394C22—121no—
1395C22—121no—
1396C22—121no—
1397C22—121no—
1398C22—121no—
1399C22—121no—
1400C22—121no—
1401C22—121no—
1402C22—121no—
1403C22—121no—
1404C22—121no—
1405C22—121no—
1406C22—121no—
1407C22C2×#100411yescharacteristic
1408C22C22×#23911yescharacteristic
1409C22C2×D3×#4111yescharacteristic
1410C22C2×#100911yescharacteristic
1411C22#596411yescharacteristic
1412C22D3×2−1+411yescharacteristic
1413C22#596811yescharacteristic
1414C4—22no—
1415C4—22no—
1416C4—22no—
1417C4—22no—
1418C4—22no—
1419C4—22no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—62no—
1430C4—62no—
1431C4—121no—
1432C4—121no—
1433C4—121no—
1434C4—121no—
1435C4—121no—
1436C4—121no—
1437C4—121no—
1438C4—121no—
1439C4—121no—
1440C4—121no—
1441C3#3834911yescharacteristic, complemented, Sylow
1442C2—122no—
1443C2—241no—
1444C2—241no—
1445C2—241no—
1446C2#8604611yescharacteristic
1447C2#8627611yescharacteristic
1448C2#8649611yescharacteristic
1449C2#8670411yescharacteristic
1450C2#8675111yescharacteristic
1451C2#8686711yescharacteristic
1452C2#8702311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2462C2
prime radical#77967C2
hypercenter#2462D3
hypocenterC3#38349
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2462

Complements

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

NH ≅ G/Ntype
1. C3×#2462C2semidirect
2. #83070C2semidirect
3. #83058C2semidirect
4. #82495C2semidirect
5. C4×#946C2semidirect
7. #77887C2semidirect
8. #77813C2semidirect
9. #77760C2semidirect
10. #77262C2semidirect
11. #77259C2semidirect
12. #77188C2semidirect
13. #77184C2semidirect
14. #76286C2semidirect
15. #76242C2semidirect
16. #76113C2semidirect
17. #76051C2semidirect
18. #75434C2semidirect
19. #75384C2semidirect
20. #75384C2semidirect
21. #75356C2semidirect
22. #75151C2semidirect
23. #75036C2semidirect
24. #75036C2semidirect
25. #75018C2semidirect
26. #75001C2semidirect
27. #74975C2semidirect
28. #74944C2semidirect
29. #74937C2semidirect
30. #73649C2semidirect
31. #73629C2semidirect
210. #2462D3semidirect
1441. C3#38349semidirect

Maximal subgroups

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

subgroupindex
C3×#24622
#830702
#830582
#824952
C4×#9462
#779672
#778872
#778132
#777602
#772622
#772592
#771882
#771842
#762862
#762422
#761132
#760512
#754342
#753842
#753562
#751512
#750362
#750182
#750012
#749752
#749442
#749372
#736492
#736292
#383493