Finite Group Databasebeta

← #11098135

Subgroups — #11098135

Order 768.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1544 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5495C211yesmaximal, characteristic
2C2×#5483C211yesmaximal, characteristic, complemented
3C3×#2483C211yesmaximal, characteristic, complemented
4#82107C211yesmaximal, characteristic
5C2×#4952C211yesmaximal, characteristic, complemented
6#77727C211yesmaximal, characteristic, complemented
7#77646C211yesmaximal, characteristic, complemented
8#77565C211yesmaximal, characteristic, complemented
9#77546C211yesmaximal, characteristic, complemented
10#77540C211yesmaximal, characteristic, complemented
11#77538C211yesmaximal, characteristic, complemented
12#77491C211yesmaximal, characteristic, complemented
13#77462C211yesmaximal, characteristic, complemented
14#74631C211yesmaximal, characteristic, complemented
15#74521C211yesmaximal, characteristic, complemented
16#74513C211yesmaximal, characteristic, complemented
17#74508C211yesmaximal, characteristic, complemented
18#74472C211yesmaximal, characteristic, complemented
19#74423C211yesmaximal, characteristic, complemented
20#74421C211yesmaximal, characteristic, complemented
21#74416C211yesmaximal, characteristic, complemented
22#74098C211yesmaximal, characteristic, complemented
23#74096C211yesmaximal, characteristic, complemented
24#74095C211yesmaximal, characteristic, complemented
25#74094C211yesmaximal, characteristic, complemented
26#74076C211yesmaximal, characteristic, complemented
27#74076C211yesmaximal, characteristic, complemented
28#74067C211yesmaximal, characteristic, complemented
29#74067C211yesmaximal, characteristic, complemented
30#73856C211yesmaximal, characteristic
31#73822C211yesmaximal, characteristic, complemented
32#40511—31nomaximal, Sylow
33C22×C3×C22⋊C4C2211yescharacteristic
34C22×C3×C22⋊C4C2211yescharacteristic
35C2×#953C2211yescharacteristic
36C22×#217C2211yescharacteristic
37C22×#217C2211yescharacteristic
38C22×#217C2211yescharacteristic
39C2×#929C2211yescharacteristic
40C2×#929C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic
42C2×#926C2211yescharacteristic
43C2×#924C2211yescharacteristic
44C2×#924C2211yescharacteristic
45C2×#924C2211yescharacteristic
46C2×#924C2211yescharacteristic
47C2×#924C2211yescharacteristic
48C22×Dic3⋊C4C2211yescharacteristic
49C2×#896C2211yescharacteristic, complemented
50C2×#888C2211yescharacteristic, complemented
51#5495—28no—
52C2×#886C2211yescharacteristic
53C2×#885C2211yescharacteristic
54C2×#883C2211yescharacteristic
55C2×#67⋊C4C2211yescharacteristic
56#5483—28no—
57C2×#879C2211yescharacteristic
58C2×#879C2211yescharacteristic
59C2×#878C2211yescharacteristic
60C2×#878C2211yescharacteristic
61C2×#878C2211yescharacteristic
62C2×#878C2211yescharacteristic
63C2×#878C2211yescharacteristic
64C2×#878C2211yescharacteristic
65C2×#878C2211yescharacteristic
66C2×#878C2211yescharacteristic
67C2×#878C2211yescharacteristic
68C2×#877C2211yescharacteristic
69C2×#877C2211yescharacteristic
70C3×#397C2211yescharacteristic
71C3×#397C2211yescharacteristic
72C3×#397C2211yescharacteristic
73C3×#397C2211yescharacteristic
74C3×#385C2211yescharacteristic
75C3×#385C2211yescharacteristic
76C3×#385C2211yescharacteristic
77C3×#385C2211yescharacteristic
78C3×#381C2211yescharacteristic
79C3×#381C2211yescharacteristic
80C3×#381C2211yescharacteristic
81C3×#381C2211yescharacteristic
82C3×#379C2211yescharacteristic
83#5213C2211yescharacteristic
84#5211C2211yescharacteristic
85#5210C2211yescharacteristic
86C2×C3⋊#95C2211yescharacteristic
87C2×C3⋊#95C2211yescharacteristic
88C2×C3⋊#95C2211yescharacteristic
89#4994C2211yescharacteristic, complemented
90#4993C2211yescharacteristic, complemented
91#4989C2211yescharacteristic, complemented
92#4984C2211yescharacteristic, complemented
93#4983C2211yescharacteristic, complemented
94#4982C2211yescharacteristic, complemented
95#4982C2211yescharacteristic, complemented
96#4980C2211yescharacteristic, complemented
97#4979C2211yescharacteristic, complemented
98#4979C2211yescharacteristic, complemented
99#4979C2211yescharacteristic, complemented
100#4976C2211yescharacteristic, complemented
101#4975C2211yescharacteristic, complemented
102#4972C2211yescharacteristic, complemented
103#4961C2211yescharacteristic
104#4961C2211yescharacteristic
105#4961C2211yescharacteristic
106#4961C2211yescharacteristic
107#4959C2211yescharacteristic
108#4959C2211yescharacteristic
109#4958C2211yescharacteristic
110#4958C2211yescharacteristic
111#4958C2211yescharacteristic
112#4958C2211yescharacteristic
113#4953C2211yescharacteristic
114#4953C2211yescharacteristic
115#4953C2211yescharacteristic
116#4953C2211yescharacteristic
117#4952C2211yescharacteristic
118#4952C2211yescharacteristic
119#4952C2211yescharacteristic
120#4952C2211yescharacteristic
121#4952C2211yescharacteristic
122#4952C2211yescharacteristic
123#4952C2211yescharacteristic
124#4952C2211yescharacteristic
125#4952C2211yescharacteristic
126#4952C2211yescharacteristic
127#4950C2211yescharacteristic
128#4950C2211yescharacteristic
129#4946C2211yescharacteristic
130#4946C2211yescharacteristic
131#4945C2211yescharacteristic
132#4945C2211yescharacteristic
133#4944C2211yescharacteristic
134#4944C2211yescharacteristic
135#4943C2211yescharacteristic
136#4942C2211yescharacteristic
137#4942C2211yescharacteristic
138#4942C2211yescharacteristic
139Dic3×C22⋊C4C2211yescharacteristic
140Dic3×C22⋊C4C2211yescharacteristic
141Dic3×C22⋊C4C2211yescharacteristic
142#4676C2211yescharacteristic, complemented
143#4675C2211yescharacteristic, complemented
144#4675C2211yescharacteristic, complemented
145#4673C2211yescharacteristic, complemented
146#4673C2211yescharacteristic, complemented
147#4673C2211yescharacteristic, complemented
148#4670C2211yescharacteristic, complemented
149#4670C2211yescharacteristic, complemented
150#4669C2211yescharacteristic, complemented
151#4669C2211yescharacteristic, complemented
152#4668C2211yescharacteristic, complemented
153#4667C2211yescharacteristic, complemented
154#4661C2211yescharacteristic, complemented
155#4661C2211yescharacteristic, complemented
156#4660C2211yescharacteristic, complemented
157#4660C2211yescharacteristic, complemented
158#4660C2211yescharacteristic, complemented
159#4660C2211yescharacteristic, complemented
160#4658C2211yescharacteristic, complemented
161#4658C2211yescharacteristic, complemented
162#4658C2211yescharacteristic, complemented
163#4657C2211yescharacteristic, complemented
164#4657C2211yescharacteristic, complemented
165#4657C2211yescharacteristic, complemented
166#4657C2211yescharacteristic, complemented
167#4657C2211yescharacteristic, complemented
168#4656C2211yescharacteristic, complemented
169#4656C2211yescharacteristic, complemented
170#4656C2211yescharacteristic, complemented
171#4656C2211yescharacteristic, complemented
172#4655C2211yescharacteristic, complemented
173#4655C2211yescharacteristic, complemented
174#4654C2211yescharacteristic, complemented
175#4654C2211yescharacteristic, complemented
176#4652C2211yescharacteristic, complemented
177#4650C2211yescharacteristic, complemented
178#4650C2211yescharacteristic, complemented
179#4647C2211yescharacteristic, complemented
180#4647C2211yescharacteristic, complemented
181#4647C2211yescharacteristic, complemented
182#4647C2211yescharacteristic, complemented
183#4646C2211yescharacteristic, complemented
184#4646C2211yescharacteristic, complemented
185#4646C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#543—31no—
192#2817—31no—
193#2814—31no—
194#2700—31no—
195#2698—31no—
196#2698—31no—
197#2689—31no—
198#2689—31no—
199#2687—31no—
200#2680—31no—
201#2674—31no—
202#2663—31no—
203#2638—31no—
204#2625—31no—
205#2622—31no—
206#2621—31no—
207#2549—31no—
208#2499—31no—
209#2488—31no—
210#2488—31no—
211#2483D311yescharacteristic, complemented
212#2450—31no—
213#2449—31no—
214#2440—31no—
215#2438—31no—
216#2438—31no—
217#2415—31no—
218#2412—31no—
219C2×#397—31no—
220#2342—31no—
221C25×C3C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C22×C4×D3C2311yescharacteristic
236C22×Dic6C2311yescharacteristic
237C22×Dic6C2311yescharacteristic
238C22×Dic6C2311yescharacteristic
239C22×Dic6C2311yescharacteristic
240C22×Dic6C2311yescharacteristic
241C2×C3×C4⋊C4C2311yescharacteristic
242C2×C3×C4⋊C4C2311yescharacteristic
243C2×C3×C4⋊C4C2311yescharacteristic
244C2×C3×C4⋊C4C2311yescharacteristic
245C2×C3×C22⋊C4—24no—
246C2×C3×C22⋊C4—24no—
247C2×C3×C22⋊C4C2311yescharacteristic
248C2×C3×C22⋊C4C2311yescharacteristic
249C2×C3×C22⋊C4C2311yescharacteristic
250C2×C3×C22⋊C4C2311yescharacteristic
251C2×C3×C22⋊C4C2311yescharacteristic
252C2×C3×C22⋊C4C2311yescharacteristic
253C2×C3×C22⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261#953—24no—
262C2×#217—24no—
263C2×#217—42no—
264C2×#217D418yes—
265C2×#217C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280#929—24no—
281#929—42no—
282C4×#67—24no—
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
294#926—24no—
295C2×C4⋊Dic3C2311yescharacteristic
296C2×C4⋊Dic3C2311yescharacteristic
297C2×C4⋊Dic3C2311yescharacteristic
298C2×C4⋊Dic3C2311yescharacteristic
299C2×C4⋊Dic3C2311yescharacteristic
300C2×C4⋊Dic3C2311yescharacteristic
301C2×C4⋊Dic3C2311yescharacteristic
302C2×C4⋊Dic3C2311yescharacteristic
303C2×C4⋊Dic3C2311yescharacteristic
304C2×C4⋊Dic3C2311yescharacteristic
305C2×C4⋊Dic3C2311yescharacteristic
306#924—24no—
307#924—24no—
308#924—24no—
309#924—24no—
310#924—24no—
311C2×Dic3⋊C4—42no—
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×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×C4×Dic3C2311yescharacteristic
338C2×C4×Dic3C2311yescharacteristic
339C2×C4×Dic3C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344#896—42no—
345#888—42no—
346#886—24no—
347#885—24no—
348#883—24no—
349#67⋊C4—24no—
350#879—24no—
351#879—24no—
352#878—24no—
353#878—24no—
354#878—24no—
355#878—24no—
356#878—24no—
357#878—24no—
358#878—24no—
359#878—24no—
360#878—24no—
361#877—24no—
362#877—42no—
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
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411#551—68no—
412#543—68no—
413C2×C4⋊Q8—31no—
414C2×#126—31no—
415C2×#126—31no—
416C2×#124—31no—
417C2×#123—31no—
418C2×#123—31no—
419C2×#123—31no—
420C2×#123—31no—
421C2×C22⋊Q8—31no—
422C2×C22⋊Q8—31no—
423C2×C22⋊Q8—31no—
424C2×C22⋊Q8—31no—
425C2×C22⋊Q8—31no—
426C2×C22⋊Q8—31no—
427C2×C22⋊Q8—31no—
428C2×C22⋊Q8—31no—
429C2×C22⋊Q8—31no—
430C2×C22⋊Q8—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×#120—31no—
437C2×C4×D4—31no—
438C2×C4×D4—31no—
439C2×#117—31no—
440C2×#117—31no—
441C2×#117—31no—
442C22×C4⋊C4—31no—
443C22×C22⋊C4—31no—
444C22×C22⋊C4—31no—
445C22×C22⋊C4—31no—
446C22×C22⋊C4C2×D311yescharacteristic
447C22×C22⋊C4C2×D311yescharacteristic
448#400—31no—
449#400—31no—
450#400—31no—
451#400—31no—
452#400—31no—
453#400—31no—
454#400—31no—
455#399—31no—
456#398—31no—
457#398—31no—
458#398—31no—
459#398—31no—
460#398—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#398—31no—
465#398—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397C2×D311yescharacteristic
483#397C2×D311yescharacteristic
484#397C2×D311yescharacteristic
485#397C2×D311yescharacteristic
486#396—31no—
487#396—31no—
488#395—31no—
489#395—31no—
490#395—31no—
491#395—31no—
492#395—31no—
493#395—31no—
494#395—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#393—31no—
502#393—31no—
503#393—31no—
504#391—31no—
505#391—31no—
506#391—31no—
507#391—31no—
508#391—31no—
509#391—31no—
510#391—31no—
511#389—31no—
512#389—31no—
513#389—31no—
514#389—31no—
515#389—31no—
516#389—31no—
517#389—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385C2×D311yescharacteristic
545#385C2×D311yescharacteristic
546#385C2×D311yescharacteristic
547#385C2×D311yescharacteristic
548#384—31no—
549#382—31no—
550#382—31no—
551#381—31no—
552#381—31no—
553#381C2×D311yescharacteristic
554#381C2×D311yescharacteristic
555#381C2×D311yescharacteristic
556#381C2×D311yescharacteristic
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#379C2×D311yescharacteristic
562C4×C22⋊C4—31no—
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C2×#95—31no—
566C2×#95—31no—
567C2×#95—31no—
568C24×C3—22no—
569C24×C3—22no—
570C24×C3—41no—
571C24×C3—41no—
572C24×C3—41no—
573C24×C3—41no—
574C24×C3C2×D414yes—
575C24×C3C2411yescharacteristic
576C24×C3C2411yescharacteristic
577C24×C3C2411yescharacteristic
578C23×D3C2411yescharacteristic
579C22×C3×C4—22no—
580C22×C3×C4—22no—
581C22×C3×C4—22no—
582C22×C3×C4—22no—
583C22×C3×C4—22no—
584C22×C3×C4—22no—
585C22×C3×C4—41no—
586C22×C3×C4—41no—
587C22×C3×C4—41no—
588C22×C3×C4—41no—
589C22×C3×C4—41no—
590C22×C3×C4—41no—
591C22×C3×C4C2411yescharacteristic
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C2×#67—22no—
604C2×#67—22no—
605C2×#67—22no—
606C2×#67—22no—
607C2×#67—22no—
608C2×#67—41no—
609C2×#67—41no—
610C2×#67—41no—
611C2×#67—41no—
612C22×Dic3—22no—
613C22×Dic3—22no—
614C22×Dic3—22no—
615C22×Dic3—22no—
616C22×Dic3—22no—
617C22×Dic3—41no—
618C22×Dic3—41no—
619C22×Dic3—41no—
620C22×Dic3—41no—
621C22×Dic3—41no—
622C22×Dic3—41no—
623C22×Dic3—41no—
624C22×Dic3—41no—
625C22×Dic3—41no—
626C22×Dic3—41no—
627C22×Dic3—41no—
628C22×Dic3C2×D414yes—
629C22×Dic3C2×D414yes—
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C2×C4×D3—22no—
646C2×C4×D3—41no—
647C2×C4×D3—41no—
648C2×Dic6—22no—
649C2×Dic6—22no—
650C2×Dic6—22no—
651C2×Dic6—22no—
652C2×Dic6—22no—
653C2×Dic6—41no—
654C2×Dic6—41no—
655C2×Dic6—41no—
656C2×Dic6—41no—
657C2×Dic6—41no—
658C2×Dic6—41no—
659C2×Dic6—41no—
660C2×Dic6—41no—
661C2×Dic6—41no—
662C2×Dic6—41no—
663C3×C4⋊C4—41no—
664C3×C4⋊C4—41no—
665C3×C4⋊C4—41no—
666C3×C4⋊C4—41no—
667C3×C22⋊C4—22no—
668C3×C22⋊C4—22no—
669C3×C22⋊C4—22no—
670C3×C22⋊C4—22no—
671C3×C22⋊C4—22no—
672C3×C22⋊C4—22no—
673C3×C22⋊C4—22no—
674C3×C22⋊C4—22no—
675C3×C22⋊C4—22no—
676C3×C22⋊C4—22no—
677C3×C22⋊C4—41no—
678C3×C22⋊C4—41no—
679C3×C22⋊C4—41no—
680C3×C22⋊C4—41no—
681#217—22no—
682#217—22no—
683#217—22no—
684#217—22no—
685#217—22no—
686#217—22no—
687#217—22no—
688#217—22no—
689#217—22no—
690#217—41no—
691#217—41no—
692#217C2×D414yes—
693#217C2×D414yes—
694#217C2×D414yes—
695#217C2×D414yes—
696(C2×D3)⋊C4—22no—
697(C2×D3)⋊C4—22no—
698(C2×D3)⋊C4—22no—
699(C2×D3)⋊C4—22no—
700(C2×D3)⋊C4—41no—
701(C2×D3)⋊C4—41no—
702(C2×D3)⋊C4—41no—
703(C2×D3)⋊C4—41no—
704(C2×D3)⋊C4—41no—
705(C2×D3)⋊C4—41no—
706(C2×D3)⋊C4—41no—
707C4⋊Dic3—22no—
708C4⋊Dic3—22no—
709C4⋊Dic3—22no—
710C4⋊Dic3—22no—
711C4⋊Dic3—22no—
712C4⋊Dic3—22no—
713C4⋊Dic3—22no—
714C4⋊Dic3—41no—
715C4⋊Dic3—41no—
716C4⋊Dic3—41no—
717C4⋊Dic3—41no—
718Dic3⋊C4—22no—
719Dic3⋊C4—22no—
720Dic3⋊C4—22no—
721Dic3⋊C4—22no—
722Dic3⋊C4—22no—
723Dic3⋊C4—22no—
724Dic3⋊C4—22no—
725Dic3⋊C4—22no—
726Dic3⋊C4—22no—
727Dic3⋊C4—22no—
728Dic3⋊C4—22no—
729Dic3⋊C4—22no—
730Dic3⋊C4—22no—
731Dic3⋊C4—22no—
732Dic3⋊C4—22no—
733Dic3⋊C4—22no—
734Dic3⋊C4—22no—
735Dic3⋊C4—41no—
736Dic3⋊C4—41no—
737Dic3⋊C4—41no—
738Dic3⋊C4—41no—
739Dic3⋊C4—41no—
740Dic3⋊C4—41no—
741Dic3⋊C4—41no—
742Dic3⋊C4—41no—
743C4×Dic3—22no—
744C4×Dic3—22no—
745C4×Dic3—22no—
746C4×Dic3—22no—
747C4×Dic3—41no—
748C4×Dic3—41no—
749C4×Dic3—41no—
750C25C22×D311yescharacteristic
751C22×Q8—31no—
752C22×Q8—31no—
753C22×Q8—31no—
754C22×Q8—31no—
755C22×Q8—31no—
756C22×D4—31no—
757C22×D4—31no—
758C22×D4—31no—
759C23×C4—31no—
760C23×C4—31no—
761C23×C4—31no—
762C23×C4—31no—
763C23×C4—31no—
764C23×C4—31no—
765C23×C4—31no—
766C23×C4C22×D311yescharacteristic
767C23×C4C22×D311yescharacteristic
768C23×C4C22×D311yescharacteristic
769C23×C4C22×D311yescharacteristic
770C4⋊Q8—122no—
771#126—64no—
772#126—64no—
773#124—64no—
774#123—64no—
775#123—64no—
776#123—64no—
777#123—122no—
778C22⋊Q8—64no—
779C22⋊Q8—64no—
780C22⋊Q8—64no—
781C22⋊Q8—64no—
782C22⋊Q8—64no—
783C22⋊Q8—64no—
784C22⋊Q8—64no—
785C22⋊Q8—64no—
786C22⋊Q8—64no—
787C22⋊Q8—64no—
788C22⋊Q8—64no—
789C22⋊Q8—64no—
790C22⋊Q8—64no—
791C22⋊Q8—64no—
792C22⋊Q8—122no—
793#120—64no—
794C4×D4—64no—
795C4×D4—64no—
796#117—64no—
797#117—64no—
798#117—122no—
799C2×C4⋊C4—31no—
800C2×C4⋊C4—31no—
801C2×C4⋊C4—31no—
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—31no—
823C2×C4⋊C4—31no—
824C2×C4⋊C4—31no—
825C2×C4⋊C4—31no—
826C2×C4⋊C4—31no—
827C2×C4⋊C4—31no—
828C2×C4⋊C4—31no—
829C2×C4⋊C4—31no—
830C2×C4⋊C4—31no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—122no—
836C2×C4⋊C4C22×D311yescharacteristic
837C2×C4⋊C4C22×D311yescharacteristic
838C2×C4⋊C4C22×D311yescharacteristic
839C2×C4⋊C4C22×D311yescharacteristic
840C2×C22⋊C4—24no—
841C2×C22⋊C4—24no—
842C2×C22⋊C4—38no—
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—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—64no—
870C2×C22⋊C4—122no—
871C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
886C2×C42—31no—
887C2×C42—31no—
888C2×C42—31no—
889C2×C42—31no—
890C2×C42—31no—
891C2×C42—31no—
892#95—31no—
893#95—31no—
894#95—31no—
895#95—31no—
896#95—31no—
897#95—31no—
898#95—31no—
899#95—31no—
900#95—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#95C22×D311yescharacteristic
929#95C22×D311yescharacteristic
930#95C22×D311yescharacteristic
931#95C22×D311yescharacteristic
932#95C22×D311yescharacteristic
933#95C22×D311yescharacteristic
934#95C22×D311yescharacteristic
935#95C22×D311yescharacteristic
936#95C22×D311yescharacteristic
937#95C22×D311yescharacteristic
938#95C22×D311yescharacteristic
939#95C22×D311yescharacteristic
940C23×C3—21no—
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—28no—
957C23×C3—44no—
958C23×C3—44no—
959C23×C3—82no—
960C23×C3—82no—
961C23×C3—82no—
962C23×C3—82no—
963C23×C3C22×D412yes—
964C23×C3C22×D412yes—
965C23×C3C22×D412yes—
966C23×C32−1+412yes—
967C23×C32−1+412yes—
968C23×C3C2511yescharacteristic
969C22×D3—21no—
970C22×D3—21no—
971C22×D3—21no—
972C22×D3—21no—
973C22×D3—21no—
974C22×D3—21no—
975C22×D3—21no—
976C2×C3×C4—21no—
977C2×C3×C4—21no—
978C2×C3×C4—21no—
979C2×C3×C4—21no—
980C2×C3×C4—21no—
981C2×C3×C4—21no—
982C2×C3×C4—21no—
983C2×C3×C4—21no—
984C2×C3×C4—21no—
985C2×C3×C4—21no—
986C2×C3×C4—21no—
987C2×C3×C4—21no—
988C2×C3×C4—21no—
989C2×C3×C4—21no—
990C2×C3×C4—21no—
991C2×C3×C4—21no—
992C2×C3×C4—21no—
993C2×C3×C4—21no—
994C2×C3×C4—21no—
995C2×C3×C4—21no—
996C2×C3×C4—21no—
997C2×C3×C4—21no—
998C2×C3×C4—21no—
999C2×C3×C4—21no—
1000C2×C3×C4—21no—
1001C2×C3×C4—21no—
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—44no—
1013C2×C3×C4—82no—
1014C2×C3×C4—82no—
1015C2×C3×C4—82no—
1016#67—44no—
1017#67—44no—
1018#67—82no—
1019C2×Dic3—21no—
1020C2×Dic3—21no—
1021C2×Dic3—21no—
1022C2×Dic3—21no—
1023C2×Dic3—21no—
1024C2×Dic3—21no—
1025C2×Dic3—21no—
1026C2×Dic3—21no—
1027C2×Dic3—21no—
1028C2×Dic3—21no—
1029C2×Dic3—21no—
1030C2×Dic3—21no—
1031C2×Dic3—21no—
1032C2×Dic3—21no—
1033C2×Dic3—21no—
1034C2×Dic3—21no—
1035C2×Dic3—21no—
1036C2×Dic3—21no—
1037C2×Dic3—21no—
1038C2×Dic3—21no—
1039C2×Dic3—21no—
1040C2×Dic3—21no—
1041C2×Dic3—21no—
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—44no—
1060C2×Dic3—44no—
1061C2×Dic3—44no—
1062C2×Dic3—82no—
1063C2×Dic3—82no—
1064C2×Dic3—82no—
1065C2×Dic3C22×D412yes—
1066C2×Dic3C22×D412yes—
1067C2×Dic3C22×D412yes—
1068C2×Dic3C22×D412yes—
1069C2×Dic3H(5,𝔽2)12yes—
1070C4×D3—82no—
1071Dic6—82no—
1072Dic6—82no—
1073Dic6—82no—
1074Dic6—82no—
1075Dic6—82no—
1076C24—22no—
1077C24—22no—
1078C24—31no—
1079C24—41no—
1080C24—41no—
1081C24—41no—
1082C24—41no—
1083C24D3×D414yes—
1084C24C23×D311yescharacteristic
1085C24C23×D311yescharacteristic
1086C24C23×D311yescharacteristic
1087C2×Q8—62no—
1088C2×Q8—62no—
1089C2×Q8—62no—
1090C2×Q8—62no—
1091C2×Q8—62no—
1092C2×Q8—121no—
1093C2×Q8—121no—
1094C2×Q8—121no—
1095C2×Q8—121no—
1096C2×Q8—121no—
1097C2×Q8—121no—
1098C2×Q8—121no—
1099C2×Q8—121no—
1100C2×Q8—121no—
1101C2×Q8—121no—
1102C2×D4—62no—
1103C2×D4—62no—
1104C2×D4—62no—
1105C2×D4—62no—
1106C2×D4—62no—
1107C2×D4—121no—
1108C2×D4—121no—
1109C2×D4—121no—
1110C2×D4—121no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—31no—
1118C22×C4—31no—
1119C22×C4—31no—
1120C22×C4—31no—
1121C22×C4—31no—
1122C22×C4—34no—
1123C22×C4—34no—
1124C22×C4—31no—
1125C22×C4—31no—
1126C22×C4—31no—
1127C22×C4—31no—
1128C22×C4—31no—
1129C22×C4—31no—
1130C22×C4—31no—
1131C22×C4—31no—
1132C22×C4—31no—
1133C22×C4—31no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—62no—
1141C22×C4—62no—
1142C22×C4—62no—
1143C22×C4—62no—
1144C22×C4—62no—
1145C22×C4—62no—
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×C4C23×D311yescharacteristic
1160C22×C4C23×D311yescharacteristic
1161C22×C4C23×D311yescharacteristic
1162C22×C4C23×D311yescharacteristic
1163C22×C4C23×D311yescharacteristic
1164C22×C4C23×D311yescharacteristic
1165C22×C4C23×D311yescharacteristic
1166C22×C4C23×D311yescharacteristic
1167C22×C4C23×D311yescharacteristic
1168C22×C4C23×D311yescharacteristic
1169C22×C4C23×D311yescharacteristic
1170C22×C4C23×D311yescharacteristic
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—62no—
1176C4⋊C4—62no—
1177C4⋊C4—62no—
1178C4⋊C4—62no—
1179C4⋊C4—62no—
1180C4⋊C4—62no—
1181C4⋊C4—62no—
1182C4⋊C4—62no—
1183C4⋊C4—62no—
1184C4⋊C4—62no—
1185C4⋊C4—62no—
1186C4⋊C4—62no—
1187C4⋊C4—62no—
1188C4⋊C4—62no—
1189C4⋊C4—62no—
1190C4⋊C4—62no—
1191C4⋊C4—62no—
1192C4⋊C4—62no—
1193C4⋊C4—62no—
1194C4⋊C4—62no—
1195C4⋊C4—62no—
1196C4⋊C4—62no—
1197C4⋊C4—62no—
1198C4⋊C4—62no—
1199C4⋊C4—121no—
1200C4⋊C4—121no—
1201C4⋊C4—121no—
1202C4⋊C4—121no—
1203C4⋊C4—121no—
1204C4⋊C4—121no—
1205C4⋊C4—121no—
1206C4⋊C4—121no—
1207C4⋊C4—121no—
1208C4⋊C4—121no—
1209C4⋊C4—121no—
1210C4⋊C4—121no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—34no—
1222C22⋊C4—34no—
1223C22⋊C4—34no—
1224C22⋊C4—34no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—62no—
1230C22⋊C4—62no—
1231C22⋊C4—62no—
1232C22⋊C4—62no—
1233C22⋊C4—62no—
1234C22⋊C4—62no—
1235C22⋊C4—62no—
1236C22⋊C4—62no—
1237C22⋊C4—62no—
1238C22⋊C4—62no—
1239C22⋊C4—62no—
1240C22⋊C4—62no—
1241C22⋊C4—62no—
1242C22⋊C4—121no—
1243C22⋊C4—121no—
1244C22⋊C4—121no—
1245C22⋊C4—121no—
1246C22⋊C4—121no—
1247C22⋊C4—121no—
1248C22⋊C4—121no—
1249C22⋊C4—121no—
1250C22⋊C4—121no—
1251C42—62no—
1252C42—62no—
1253C42—62no—
1254C42—62no—
1255C42—121no—
1256C42—121no—
1257C42—121no—
1258C22×C3—22no—
1259C22×C3—22no—
1260C22×C3—22no—
1261C22×C3—22no—
1262C22×C3—22no—
1263C22×C3—22no—
1264C22×C3—22no—
1265C22×C3—22no—
1266C22×C3—22no—
1267C22×C3—22no—
1268C22×C3—22no—
1269C22×C3—22no—
1270C22×C3—41no—
1271C22×C3—41no—
1272C22×C3—41no—
1273C22×C3—41no—
1274C22×C3—41no—
1275C22×C3—41no—
1276C22×C3—41no—
1277C22×C3—41no—
1278C22×C3—88no—
1279C22×C3#53614yes—
1280C22×C3C23×D411yescharacteristic
1281C22×C3C2×H(5,𝔽2)11yescharacteristic
1282C22×C3C2×2−1+411yescharacteristic
1283C22×C3C2×2−1+411yescharacteristic
1284C22×C3#58511yescharacteristic
1285C22×C3#58511yescharacteristic
1286C22×C3#58511yescharacteristic
1287C2×D3—41no—
1288C2×D3—41no—
1289C2×D3—41no—
1290C2×D3—41no—
1291C2×D3—41no—
1292C2×D3—41no—
1293C2×D3—41no—
1294C3×C4—41no—
1295C3×C4—41no—
1296C3×C4—41no—
1297C3×C4—41no—
1298C3×C4—41no—
1299C3×C4—41no—
1300C3×C4—41no—
1301C3×C4—41no—
1302C3×C4—41no—
1303C3×C4—41no—
1304C3×C4—41no—
1305C3×C4—41no—
1306Dic3—22no—
1307Dic3—22no—
1308Dic3—22no—
1309Dic3—22no—
1310Dic3—22no—
1311Dic3—41no—
1312Dic3—41no—
1313Dic3—41no—
1314Dic3—41no—
1315Dic3—41no—
1316Dic3—41no—
1317Dic3—41no—
1318Dic3—41no—
1319Dic3—41no—
1320Dic3—41no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—28no—
1338C23—44no—
1339C23—44no—
1340C23—61no—
1341C23—61no—
1342C23—61no—
1343C23—61no—
1344C23—61no—
1345C23—61no—
1346C23—61no—
1347C23—82no—
1348C23—82no—
1349C23—82no—
1350C23—82no—
1351C23C2×D3×D412yes—
1352C23C2×D3×D412yes—
1353C23C2×D3×D412yes—
1354C23#101012yes—
1355C23#101012yes—
1356C23C24×D311yescharacteristic
1357Q8—242no—
1358Q8—242no—
1359Q8—242no—
1360Q8—242no—
1361Q8—242no—
1362D4—124no—
1363D4—124no—
1364D4—242no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—32no—
1402C2×C4—32no—
1403C2×C4—32no—
1404C2×C4—32no—
1405C2×C4—32no—
1406C2×C4—44no—
1407C2×C4—61no—
1408C2×C4—61no—
1409C2×C4—61no—
1410C2×C4—61no—
1411C2×C4—61no—
1412C2×C4—61no—
1413C2×C4—61no—
1414C2×C4—61no—
1415C2×C4—61no—
1416C2×C4—61no—
1417C2×C4—61no—
1418C2×C4—61no—
1419C2×C4—61no—
1420C2×C4—61no—
1421C2×C4—61no—
1422C2×C4—61no—
1423C2×C4—61no—
1424C2×C4—61no—
1425C2×C4—61no—
1426C2×C4—61no—
1427C2×C4—61no—
1428C2×C4—61no—
1429C2×C4—61no—
1430C2×C4—61no—
1431C2×C4—61no—
1432C2×C4—61no—
1433C2×C4—61no—
1434C2×C4—61no—
1435C2×C4—61no—
1436C2×C4—61no—
1437C2×C4—61no—
1438C2×C4—61no—
1439C2×C4—61no—
1440C2×C4—61no—
1441C2×C4—61no—
1442C2×C4—61no—
1443C2×C4—61no—
1444C2×C4—61no—
1445C2×C4—61no—
1446C2×C4—61no—
1447C2×C4—82no—
1448C2×C4—82no—
1449C2×C4—82no—
1450C2×C4—124no—
1451C2×C4—124no—
1452C2×C4—124no—
1453C2×C4—242no—
1454C2×C4—242no—
1455C2×C4—242no—
1456C2×C4—242no—
1457C2×C3—24no—
1458C2×C3—42no—
1459C2×C3—42no—
1460C2×C3C2×#53611yescharacteristic
1461C2×C3#348511yescharacteristic
1462C2×C3#349611yescharacteristic
1463C2×C3#353511yescharacteristic
1464C2×C3#356111yescharacteristic
1465C2×C3#356411yescharacteristic
1466C2×C3#356411yescharacteristic
1467D3—81no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—22no—
1474C22—22no—
1475C22—22no—
1476C22—22no—
1477C22—22no—
1478C22—22no—
1479C22—22no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—88no—
1489C22—121no—
1490C22—121no—
1491C22—121no—
1492C22—121no—
1493C22—121no—
1494C22—121no—
1495C22—121no—
1496C22#564814yes—
1497C22C22×D3×D411yescharacteristic
1498C22C2×#101011yescharacteristic
1499C22C2×#101011yescharacteristic
1500C22#596411yescharacteristic
1501C22#596411yescharacteristic
1502C22D3×H(5,𝔽2)11yescharacteristic
1503C22#596611yescharacteristic
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—62no—
1517C4—62no—
1518C4—62no—
1519C4—62no—
1520C4—62no—
1521C4—121no—
1522C4—121no—
1523C4—121no—
1524C4—121no—
1525C4—121no—
1526C4—121no—
1527C4—121no—
1528C4—121no—
1529C4—121no—
1530C4—121no—
1531C3#4051111yescharacteristic, complemented, Sylow
1532C2—24no—
1533C2—42no—
1534C2—42no—
1535C2—241no—
1536C2C2×#564811yescharacteristic
1537C2#8601211yescharacteristic
1538C2#8629811yescharacteristic
1539C2#8680811yescharacteristic
1540C2#8681011yescharacteristic
1541C2#8681111yescharacteristic
1542C2#8682111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2483C2
prime radicalC2×#953C22
hypercenter#2483D3
hypocenterC3#40511
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2483

Complements

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

NH ≅ G/Ntype
2. C2×#5483C2semidirect
3. C3×#2483C2semidirect
5. C2×#4952C2semidirect
6. #77727C2semidirect
7. #77646C2semidirect
8. #77565C2semidirect
9. #77546C2semidirect
10. #77540C2semidirect
11. #77538C2semidirect
12. #77491C2semidirect
13. #77462C2semidirect
14. #74631C2semidirect
15. #74521C2semidirect
16. #74513C2semidirect
17. #74508C2semidirect
18. #74472C2semidirect
19. #74423C2semidirect
20. #74421C2semidirect
21. #74416C2semidirect
22. #74098C2semidirect
23. #74096C2semidirect
24. #74095C2semidirect
25. #74094C2semidirect
26. #74076C2semidirect
27. #74076C2semidirect
28. #74067C2semidirect
29. #74067C2semidirect
31. #73822C2semidirect
49. C2×#896C22semidirect
50. C2×#888C22semidirect
89. #4994C22semidirect
90. #4993C22semidirect
91. #4989C22semidirect
92. #4984C22semidirect
93. #4983C22semidirect
94. #4982C22semidirect
95. #4982C22semidirect
96. #4980C22semidirect
97. #4979C22semidirect
98. #4979C22semidirect
99. #4979C22semidirect
100. #4976C22semidirect
101. #4975C22semidirect
102. #4972C22semidirect
142. #4676C22semidirect
143. #4675C22semidirect
144. #4675C22semidirect
145. #4673C22semidirect
146. #4673C22semidirect
147. #4673C22semidirect
148. #4670C22semidirect
149. #4670C22semidirect
150. #4669C22semidirect
151. #4669C22semidirect
152. #4668C22semidirect
153. #4667C22semidirect
154. #4661C22semidirect
155. #4661C22semidirect
156. #4660C22semidirect
157. #4660C22semidirect
158. #4660C22semidirect
159. #4660C22semidirect
160. #4658C22semidirect
161. #4658C22semidirect
162. #4658C22semidirect
163. #4657C22semidirect
164. #4657C22semidirect
165. #4657C22semidirect
166. #4657C22semidirect
167. #4657C22semidirect
168. #4656C22semidirect
169. #4656C22semidirect
170. #4656C22semidirect
171. #4656C22semidirect
172. #4655C22semidirect
173. #4655C22semidirect
174. #4654C22semidirect
175. #4654C22semidirect
176. #4652C22semidirect
177. #4650C22semidirect
178. #4650C22semidirect
179. #4647C22semidirect
180. #4647C22semidirect
181. #4647C22semidirect
182. #4647C22semidirect
183. #4646C22semidirect
184. #4646C22semidirect
185. #4646C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
211. #2483D3semidirect
1531. C3#40511semidirect

Maximal subgroups

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

subgroupindex
C2×#54952
C2×#54832
C3×#24832
#821072
C2×#49522
#777272
#776462
#775652
#775462
#775402
#775382
#774912
#774622
#746312
#745212
#745132
#745082
#744722
#744232
#744212
#744162
#740982
#740962
#740952
#740942
#740762
#740672
#738562
#738222
#405113