Finite Group Databasebeta

← #17979322

Subgroups — #17979322

Order 4352.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14545331C211yesmaximal, characteristic
2#14545330C211yesmaximal, characteristic, complemented
3#14545330C211yesmaximal, characteristic, complemented
4#14545326C211yesmaximal, characteristic
5#14545321C211yesmaximal, characteristic
6#14545321C211yesmaximal, characteristic
7#14545321C211yesmaximal, characteristic
8#14545319C211yesmaximal, characteristic, complemented
9#14545319C211yesmaximal, characteristic, complemented
10#14545318C211yesmaximal, characteristic, complemented
11#14545318C211yesmaximal, characteristic, complemented
12#14545316C211yesmaximal, characteristic
13#14545304C211yesmaximal, characteristic, complemented
14#14545303C211yesmaximal, characteristic, complemented
15#14545294C211yesmaximal, characteristic
16#14545291C211yesmaximal, characteristic
17#14545284C211yesmaximal, characteristic, complemented
18#14545284C211yesmaximal, characteristic, complemented
19#14545282C211yesmaximal, characteristic
20#14545282C211yesmaximal, characteristic
21#14545282C211yesmaximal, characteristic
22#14545280C211yesmaximal, characteristic
23#14545279C211yesmaximal, characteristic, complemented
24#14545279C211yesmaximal, characteristic, complemented
25#14545278C211yesmaximal, characteristic, complemented
26#14545277C211yesmaximal, characteristic
27#14545268C211yesmaximal, characteristic, complemented
28#125×#595C211yesmaximal, characteristic, complemented
29#126×#595C211yesmaximal, characteristic
30#14545243C211yesmaximal, characteristic, complemented
31D17×#541C211yesmaximal, characteristic
32(C2×#595)⋊Q8C2211yescharacteristic
33(C2×#595)⋊Q8C2211yescharacteristic
34(C2×#595)⋊Q8C2211yescharacteristic
35(C2×#595)⋊Q8C2211yescharacteristic
36(C2×#595)⋊Q8C2211yescharacteristic
37(C2×#595)⋊Q8C2211yescharacteristic
38(C2×#595)⋊Q8C2211yescharacteristic
39(C2×#595)⋊Q8C2211yescharacteristic
40#11763760C2211yescharacteristic
41#11763760C2211yescharacteristic
42#11763760C2211yescharacteristic
43#11763760C2211yescharacteristic
44#11763760C2211yescharacteristic
45#11763760C2211yescharacteristic
46#11763760C2211yescharacteristic
47#11763760C2211yescharacteristic
48#11763760C2211yescharacteristic
49#11763760C2211yescharacteristic
50#11763760C2211yescharacteristic
51#11763760C2211yescharacteristic
52#11763760C2211yescharacteristic
53#11763760C2211yescharacteristic
54#11763760C2211yescharacteristic
55#11763760C2211yescharacteristic
56#11763760C2211yescharacteristic
57#11763760C2211yescharacteristic
58#11763759C2211yescharacteristic
59#11763759C2211yescharacteristic
60#11763759C2211yescharacteristic
61#11763759C2211yescharacteristic
62#11763759C2211yescharacteristic
63#11763759C2211yescharacteristic
64#11763759C2211yescharacteristic
65#11763759C2211yescharacteristic
66#11763759C2211yescharacteristic
67#11763759C2211yescharacteristic
68#11763759C2211yescharacteristic
69#11763759C2211yescharacteristic
70#11763758C2211yescharacteristic
71#11763758C2211yescharacteristic
72#11763758C2211yescharacteristic
73#11763758C2211yescharacteristic
74#11763758C2211yescharacteristic
75#11763758C2211yescharacteristic
76#11763758C2211yescharacteristic
77#11763758C2211yescharacteristic
78#11763758C2211yescharacteristic
79#11763758C2211yescharacteristic
80#11763758C2211yescharacteristic
81#11763758C2211yescharacteristic
82#11763758C2211yescharacteristic
83#11763758C2211yescharacteristic
84#11763758C2211yescharacteristic
85#11763758C2211yescharacteristic
86#11763758C2211yescharacteristic
87#11763758C2211yescharacteristic
88#11763758C2211yescharacteristic
89#11763758C2211yescharacteristic
90#11763758C2211yescharacteristic
91#11763758C2211yescharacteristic
92#11763758C2211yescharacteristic
93#11763758C2211yescharacteristic
94#11763758C2211yescharacteristic
95#11763758C2211yescharacteristic
96#11763758C2211yescharacteristic
97#11763758C2211yescharacteristic
98#11763758C2211yescharacteristic
99#11763758C2211yescharacteristic
100#11763758C2211yescharacteristic
101#11763758C2211yescharacteristic
102#11763758C2211yescharacteristic
103#11763758C2211yescharacteristic
104#11763758C2211yescharacteristic
105#11763758C2211yescharacteristic
106#11763758C2211yescharacteristic
107#11763758C2211yescharacteristic
108#11763758C2211yescharacteristic
109#11763758C2211yescharacteristic
110#11763758C2211yescharacteristic
111#11763758C2211yescharacteristic
112#11763758C2211yescharacteristic
113#11763758C2211yescharacteristic
114#11763756C2211yescharacteristic
115#11763756C2211yescharacteristic
116#11763756C2211yescharacteristic
117#11763756C2211yescharacteristic
118#11763756C2211yescharacteristic
119#11763756C2211yescharacteristic
120#11763755C2211yescharacteristic
121#11763754C2211yescharacteristic
122#11763754C2211yescharacteristic
123#11763754C2211yescharacteristic
124#11763753C2211yescharacteristic
125#11763753C2211yescharacteristic
126#11763753C2211yescharacteristic
127#11763753C2211yescharacteristic
128#11763753C2211yescharacteristic
129#11763753C2211yescharacteristic
130#11763752C2211yescharacteristic
131#11763751C2211yescharacteristic
132C4⋊C4×#595C2211yescharacteristic
133C4⋊C4×#595C2211yescharacteristic
134C4⋊C4×#595C2211yescharacteristic
135C4⋊C4×#595C2211yescharacteristic
136C4⋊C4×#595C2211yescharacteristic
137C4⋊C4×#595C2211yescharacteristic
138C4⋊C4×#595C2211yescharacteristic
139C4⋊C4×#595C2211yescharacteristic
140C4⋊C4×#595C2211yescharacteristic
141C4⋊C4×#595C2211yescharacteristic
142C4⋊C4×#595C2211yescharacteristic
143C4⋊C4×#595C2211yescharacteristic
144C4⋊C4×#595C2211yescharacteristic
145C4⋊C4×#595C2211yescharacteristic
146C4⋊C4×#595C2211yescharacteristic
147C4⋊C4×#595C2211yescharacteristic
148C4⋊C4×#595C2211yescharacteristic
149C4⋊C4×#595C2211yescharacteristic
150C4×C4⋊#595C2211yescharacteristic
151C4×C4⋊#595C2211yescharacteristic
152C4×C4⋊#595C2211yescharacteristic
153C4×C4⋊#595C2211yescharacteristic
154C4×C4⋊#595C2211yescharacteristic
155C4×C4⋊#595C2211yescharacteristic
156C4×C4⋊#595C2211yescharacteristic
157C22⋊C4×#595C2211yescharacteristic
158C22⋊C4×#595C2211yescharacteristic
159C22⋊C4×#595C2211yescharacteristic
160C22⋊C4×#595C2211yescharacteristic
161C22⋊C4×#595C2211yescharacteristic
162C22⋊C4×#595C2211yescharacteristic
163C4×C22⋊#595C2211yescharacteristic
164#11763745C2211yescharacteristic
165#11763745C2211yescharacteristic
166#11763745C2211yescharacteristic
167#11763745C2211yescharacteristic
168#11763745C2211yescharacteristic
169#11763745C2211yescharacteristic
170C2×(C2×#595)⋊C4C2211yescharacteristic
171C42×#595C2211yescharacteristic
172#11763422C411yescharacteristic, complemented
173#11763421C411yescharacteristic, complemented
174#11763420C411yescharacteristic, complemented
175#11763419C411yescharacteristic, complemented
176#11763419C411yescharacteristic, complemented
177#11763418C411yescharacteristic, complemented
178#11763418C411yescharacteristic, complemented
179#11763418C411yescharacteristic, complemented
180#11763418C411yescharacteristic, complemented
181#11763417C411yescharacteristic, complemented
182#11763417C411yescharacteristic, complemented
183#11763416C411yescharacteristic, complemented
184#11763416C411yescharacteristic, complemented
185#11763416C411yescharacteristic, complemented
186#11763416C411yescharacteristic, complemented
187C4⋊Q8×D17C2211yescharacteristic
188#126×D17C2211yescharacteristic
189#126×D17C2211yescharacteristic
190#126×D17C2211yescharacteristic
191#126×D17C2211yescharacteristic
192#125×D17C2211yescharacteristic
193#125×D17C2211yescharacteristic
194#125×D17C2211yescharacteristic
195#125×D17C2211yescharacteristic
196#125×D17C2211yescharacteristic
197C22⋊Q8×D17C2211yescharacteristic
198C22⋊Q8×D17C2211yescharacteristic
199C4×Q8×D17C2211yescharacteristic
200C4×Q8×D17C2211yescharacteristic
201#117×D17C2211yescharacteristic
202C17×#541C411yescharacteristic, complemented
203C23×#595C2311yescharacteristic
204C23×#595C2311yescharacteristic
205C2×Q8×D17C2311yescharacteristic
206C2×Q8×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C2×C22⋊#595C2311yescharacteristic
209C2×C22⋊#595C2311yescharacteristic
210C2×C22⋊#595C2311yescharacteristic
211C2×C22⋊#595C2311yescharacteristic
212C2×C22⋊#595C2311yescharacteristic
213C2×C22⋊#595C2311yescharacteristic
214C2×C4⋊#595C2311yescharacteristic
215C2×C4⋊#595C2311yescharacteristic
216C2×C4⋊#595C2311yescharacteristic
217C2×C4⋊#595C2311yescharacteristic
218C2×C4⋊#595C2311yescharacteristic
219C2×C4⋊#595C2311yescharacteristic
220C2×C4⋊#595C2311yescharacteristic
221C2×C4⋊#595C2311yescharacteristic
222C2×C4⋊#595C2311yescharacteristic
223C2×C4⋊#595C2311yescharacteristic
224C2×C4⋊#595C2311yescharacteristic
225C2×C4⋊#595C2311yescharacteristic
226C2×C4⋊#595C2311yescharacteristic
227C2×C4⋊#595C2311yescharacteristic
228C2×C4⋊#595C2311yescharacteristic
229C2×C4⋊#595C2311yescharacteristic
230C2×C4⋊#595C2311yescharacteristic
231C2×C4⋊#595C2311yescharacteristic
232C2×C4⋊#595C2311yescharacteristic
233C2×C4⋊#595C2311yescharacteristic
234C2×C4⋊#595C2311yescharacteristic
235C2×C4⋊#595C2311yescharacteristic
236C2×C4⋊#595C2311yescharacteristic
237C2×C4⋊#595C2311yescharacteristic
238C2×C4⋊#595C2311yescharacteristic
239C2×C4⋊#595C2311yescharacteristic
240C2×C4×#595C2311yescharacteristic
241C2×C4×#595C2311yescharacteristic
242C2×C4×#595C2311yescharacteristic
243C2×C4×#595C2311yescharacteristic
244C2×C4×#595C2311yescharacteristic
245C2×C4×#595C2311yescharacteristic
246C2×C4×#595C2311yescharacteristic
247C2×C4×#595C2311yescharacteristic
248C2×C4×#595C2311yescharacteristic
249C2×C4×#595C2311yescharacteristic
250C2×C4×#595C2311yescharacteristic
251C2×C4×#595C2311yescharacteristic
252C2×C4×#595C2311yescharacteristic
253C2×C4×#595C2311yescharacteristic
254C2×C4×#595C2311yescharacteristic
255C2×C4×#595C2311yescharacteristic
256C2×C4×#595C2311yescharacteristic
257C2×C4×#595C2311yescharacteristic
258C2×C4×#595C2311yescharacteristic
259C2×C4×#595C2311yescharacteristic
260C2×C4×#595C2311yescharacteristic
261C2×C4×#595C2311yescharacteristic
262C2×C4×#595C2311yescharacteristic
263C2×C4×#595C2311yescharacteristic
264C2×C4×#595C2311yescharacteristic
265C2×C4×#595C2311yescharacteristic
266C17×C4⋊Q8C2×C411yescharacteristic, complemented
267C17×#126C2×C411yescharacteristic
268C17×#126C2×C411yescharacteristic
269C17×#126C2×C411yescharacteristic
270C17×#126C2×C411yescharacteristic
271C17×#125C2×C411yescharacteristic, complemented
272C17×#125C2×C411yescharacteristic, complemented
273C17×#125C2×C411yescharacteristic, complemented
274C17×#125C2×C411yescharacteristic, complemented
275C17×#125C2×C411yescharacteristic, complemented
276C17×C22⋊Q8C2×C411yescharacteristic
277C17×C22⋊Q8C2×C411yescharacteristic
278C4×Q8×C17C2×C411yescharacteristic, complemented
279C4×Q8×C17C2×C411yescharacteristic, complemented
280C17×#117C2×C411yescharacteristic
281#10587632C2×C411yescharacteristic
282#10587632C2×C411yescharacteristic
283Q8×Dic17C2×C411yescharacteristic, complemented
284Q8×Dic17C2×C411yescharacteristic, complemented
285#10587630C2×C411yescharacteristic, complemented
286#10587630C2×C411yescharacteristic, complemented
287#10587612C2×C411yescharacteristic
288#10587610C2×C411yescharacteristic
289#10587610C2×C411yescharacteristic
290#10587584C2×C411yescharacteristic
291#10587584C2×C411yescharacteristic
292#10587584C2×C411yescharacteristic
293#10587584C2×C411yescharacteristic
294#10587584C2×C411yescharacteristic
295#10587584C2×C411yescharacteristic
296#10587584C2×C411yescharacteristic
297#10587584C2×C411yescharacteristic
298#10587584C2×C411yescharacteristic
299#10587584C2×C411yescharacteristic
300#10587584C2×C411yescharacteristic
301#10587584C2×C411yescharacteristic
302#10587583C2×C411yescharacteristic
303#10587583C2×C411yescharacteristic
304#10587582C2×C411yescharacteristic
305#10587582C2×C411yescharacteristic
306#10587582C2×C411yescharacteristic
307#10587582C2×C411yescharacteristic
308#10587578C2×C411yescharacteristic
309#10587578C2×C411yescharacteristic
310C4⋊C4×D17C2311yescharacteristic
311C4⋊C4×D17C2311yescharacteristic
312C4⋊C4×D17C2311yescharacteristic
313C4⋊C4×D17C2311yescharacteristic
314C4⋊C4×D17C2311yescharacteristic
315C4⋊C4×D17C2311yescharacteristic
316C4⋊C4×D17C2311yescharacteristic
317C4⋊C4×D17C2311yescharacteristic
318C4⋊C4×D17C2311yescharacteristic
319C4⋊C4×D17C2311yescharacteristic
320C4⋊C4×D17C2311yescharacteristic
321C4⋊C4×D17C2311yescharacteristic
322C4⋊C4×D17C2311yescharacteristic
323C4⋊C4×D17C2311yescharacteristic
324C4⋊C4×D17C2311yescharacteristic
325C4⋊C4×D17C2311yescharacteristic
326C4⋊C4×D17C2311yescharacteristic
327C4⋊C4×D17C2311yescharacteristic
328C4⋊C4×D17C2311yescharacteristic
329C4⋊C4×D17C2311yescharacteristic
330#10587576C2×C411yescharacteristic, complemented
331#10587576C2×C411yescharacteristic, complemented
332#10587576C2×C411yescharacteristic, complemented
333#10587576C2×C411yescharacteristic, complemented
334#10587576C2×C411yescharacteristic, complemented
335#10587576C2×C411yescharacteristic, complemented
336#10587576C2×C411yescharacteristic, complemented
337#10587576C2×C411yescharacteristic, complemented
338#10587576C2×C411yescharacteristic, complemented
339#10587576C2×C411yescharacteristic, complemented
340#10587575C2×C411yescharacteristic, complemented
341#10587575C2×C411yescharacteristic, complemented
342#10587575C2×C411yescharacteristic, complemented
343#10587575C2×C411yescharacteristic, complemented
344#10587575C2×C411yescharacteristic, complemented
345#10587575C2×C411yescharacteristic, complemented
346#10587575C2×C411yescharacteristic, complemented
347#10587575C2×C411yescharacteristic, complemented
348#10587575C2×C411yescharacteristic, complemented
349#10587575C2×C411yescharacteristic, complemented
350#10587575C2×C411yescharacteristic, complemented
351#10587575C2×C411yescharacteristic, complemented
352#10587575C2×C411yescharacteristic, complemented
353#10587575C2×C411yescharacteristic, complemented
354#10587575C2×C411yescharacteristic, complemented
355#10587575C2×C411yescharacteristic, complemented
356#10587575C2×C411yescharacteristic, complemented
357#10587575C2×C411yescharacteristic, complemented
358#10587575C2×C411yescharacteristic, complemented
359#10587575C2×C411yescharacteristic, complemented
360#10587574C2×C411yescharacteristic, complemented
361#10587574C2×C411yescharacteristic, complemented
362#10587574C2×C411yescharacteristic, complemented
363#10587574C2×C411yescharacteristic, complemented
364#10587573C2×C411yescharacteristic, complemented
365#10587573C2×C411yescharacteristic, complemented
366#10587573C2×C411yescharacteristic, complemented
367#10587573C2×C411yescharacteristic, complemented
368#10587573C2×C411yescharacteristic, complemented
369#10587573C2×C411yescharacteristic, complemented
370C22⋊C4×D17C2311yescharacteristic
371C22⋊C4×D17C2311yescharacteristic
372C22⋊C4×D17C2311yescharacteristic
373C22⋊C4×D17C2311yescharacteristic
374C22⋊C4×D17C2311yescharacteristic
375C22⋊C4×D17C2311yescharacteristic
376#10587565C2×C411yescharacteristic
377#10587565C2×C411yescharacteristic
378#10587565C2×C411yescharacteristic
379#10587565C2×C411yescharacteristic
380#10587565C2×C411yescharacteristic
381#10587565C2×C411yescharacteristic
382#10587565C2×C411yescharacteristic
383#10587565C2×C411yescharacteristic
384#10587565C2×C411yescharacteristic
385#10587565C2×C411yescharacteristic
386#10587565C2×C411yescharacteristic
387#10587565C2×C411yescharacteristic
388#10587564C2×C411yescharacteristic
389#10587564C2×C411yescharacteristic
390#10587564C2×C411yescharacteristic
391#10587564C2×C411yescharacteristic
392#10587563C2×C411yescharacteristic
393#10587563C2×C411yescharacteristic
394#10587562C2×C411yescharacteristic
395#10587562C2×C411yescharacteristic
396#10587562C2×C411yescharacteristic
397#10587562C2×C411yescharacteristic
398#10587558C2×C411yescharacteristic
399#10587558C2×C411yescharacteristic
400C42×D17C2311yescharacteristic
401C42×D17C2311yescharacteristic
402C42×D17C2311yescharacteristic
403C42×D17C2311yescharacteristic
404C42×D17C2311yescharacteristic
405C42×D17C2311yescharacteristic
406#10587556C2×C411yescharacteristic, complemented
407#10587556C2×C411yescharacteristic, complemented
408#10587556C2×C411yescharacteristic, complemented
409#10587556C2×C411yescharacteristic, complemented
410#10587556C2×C411yescharacteristic, complemented
411#10587555C2×C411yescharacteristic, complemented
412C4×Dic34C2×C411yescharacteristic, complemented
413C4×Dic34C2×C411yescharacteristic, complemented
414C4×Dic34C2×C411yescharacteristic, complemented
415C4×Dic34C2×C411yescharacteristic, complemented
416C4×Dic34C2×C411yescharacteristic, complemented
417C4×Dic34C2×C411yescharacteristic, complemented
418(C2×#595)⋊C4C2311yescharacteristic
419(C2×#595)⋊C4C2311yescharacteristic
420(C2×#595)⋊C4C2311yescharacteristic
421(C2×#595)⋊C4C2311yescharacteristic
422(C2×#595)⋊C4C2311yescharacteristic
423(C2×#595)⋊C4C2311yescharacteristic
424(C2×#595)⋊C4C2311yescharacteristic
425(C2×#595)⋊C4C2311yescharacteristic
426(C2×#595)⋊C4C2311yescharacteristic
427(C2×#595)⋊C4C2311yescharacteristic
428(C2×#595)⋊C4C2311yescharacteristic
429(C2×#595)⋊C4C2311yescharacteristic
430(C2×#595)⋊C4C2311yescharacteristic
431(C2×#595)⋊C4C2311yescharacteristic
432(C2×#595)⋊C4C2311yescharacteristic
433(C2×#595)⋊C4C2311yescharacteristic
434(C2×#595)⋊C4C2311yescharacteristic
435(C2×#595)⋊C4C2311yescharacteristic
436(C2×#595)⋊C4C2311yescharacteristic
437(C2×#595)⋊C4C2311yescharacteristic
438(C2×#595)⋊C4C2311yescharacteristic
439(C2×#595)⋊C4C2311yescharacteristic
440(C2×#595)⋊C4C2311yescharacteristic
441(C2×#595)⋊C4C2311yescharacteristic
442(C2×#595)⋊C4C2311yescharacteristic
443(C2×#595)⋊C4C2311yescharacteristic
444(C2×#595)⋊C4C2311yescharacteristic
445(C2×#595)⋊C4C2311yescharacteristic
446(C2×#595)⋊C4C2311yescharacteristic
447(C2×#595)⋊C4C2311yescharacteristic
448(C2×#595)⋊C4C2311yescharacteristic
449(C2×#595)⋊C4C2311yescharacteristic
450(C2×#595)⋊C4C2311yescharacteristic
451(C2×#595)⋊C4C2311yescharacteristic
452(C2×#595)⋊C4C2311yescharacteristic
453(C2×#595)⋊C4C2311yescharacteristic
454(C2×#595)⋊C4C2311yescharacteristic
455(C2×#595)⋊C4C2311yescharacteristic
456(C2×#595)⋊C4C2311yescharacteristic
457(C2×#595)⋊C4C2311yescharacteristic
458(C2×#595)⋊C4C2311yescharacteristic
459(C2×#595)⋊C4C2311yescharacteristic
460(C2×#595)⋊C4C2311yescharacteristic
461(C2×#595)⋊C4C2311yescharacteristic
462(C2×#595)⋊C4C2311yescharacteristic
463(C2×#595)⋊C4C2311yescharacteristic
464(C2×#595)⋊C4C2311yescharacteristic
465(C2×#595)⋊C4C2311yescharacteristic
466(C2×#595)⋊C4C2311yescharacteristic
467(C2×#595)⋊C4C2311yescharacteristic
468(C2×#595)⋊C4C2311yescharacteristic
469(C2×#595)⋊C4C2311yescharacteristic
470(C2×#595)⋊C4C2311yescharacteristic
471(C2×#595)⋊C4C2311yescharacteristic
472(C2×#595)⋊C4C2311yescharacteristic
473(C2×#595)⋊C4C2311yescharacteristic
474(C2×#595)⋊C4C2311yescharacteristic
475(C2×#595)⋊C4C2311yescharacteristic
476(C2×#595)⋊C4C2311yescharacteristic
477(C2×#595)⋊C4C2311yescharacteristic
478C23×D17C2411yescharacteristic
479C22×#595—22no—
480C22×#595—41no—
481C22×#595—41no—
482C22×#595—41no—
483C22×#595—41no—
484C22×#595—41no—
485C22×#595C2411yescharacteristic
486C22×#595C2411yescharacteristic
487C22×#595C2411yescharacteristic
488C22×#595C2411yescharacteristic
489C22×#595C2411yescharacteristic
490C22×#595C2411yescharacteristic
491C22×#595C2411yescharacteristic
492C22×#595C2411yescharacteristic
493C22×#595C2411yescharacteristic
494C22×#595C2411yescharacteristic
495C22×#595C2411yescharacteristic
496C22×#595C2411yescharacteristic
497C22×#595C2411yescharacteristic
498C22×#595C2411yescharacteristic
499C22×#595C2411yescharacteristic
500C22×#595C2411yescharacteristic
501C2×Q8×C17C22×C411yescharacteristic
502C2×Q8×C17C22×C411yescharacteristic
503C22×C4×C17C22×C411yescharacteristic
504C22×Dic17C22×C411yescharacteristic
505Q8×D17—41no—
506Q8×D17—41no—
507Q8×D17—41no—
508Q8×D17—41no—
509C2×C4×D17—41no—
510C2×C4×D17—41no—
511C2×C4×D17C22×C411yescharacteristic
512C2×C4×D17C22×C411yescharacteristic
513C2×C4×D17C2411yescharacteristic
514C2×C4×D17C2411yescharacteristic
515C2×C4×D17C2411yescharacteristic
516C2×C4×D17C2411yescharacteristic
517C2×C4×D17C2411yescharacteristic
518C2×C4×D17C2411yescharacteristic
519C2×C4×D17C2411yescharacteristic
520C2×C4×D17C2411yescharacteristic
521C2×C4×D17C2411yescharacteristic
522C2×C4×D17C2411yescharacteristic
523C2×C4×D17C2411yescharacteristic
524C2×C4×D17C2411yescharacteristic
525C2×C4×D17C2411yescharacteristic
526C2×C4×D17C2411yescharacteristic
527C2×Dic34C22×C411yescharacteristic
528C2×Dic34C22×C411yescharacteristic
529C2×Dic34C22×C411yescharacteristic
530C2×Dic34C22×C411yescharacteristic
531C2×Dic34C22×C411yescharacteristic
532C2×Dic34C22×C411yescharacteristic
533C22⋊#595—22no—
534C22⋊#595—41no—
535C22⋊#595—41no—
536C22⋊#595—41no—
537C22⋊#595—41no—
538C22⋊#595—41no—
539C4⋊#595—22no—
540C4⋊#595—22no—
541C4⋊#595—22no—
542C4⋊#595—41no—
543C4⋊#595—41no—
544C4⋊#595—41no—
545C4⋊#595—41no—
546C4⋊#595—41no—
547C4⋊#595—41no—
548C4⋊#595—41no—
549C4⋊#595—41no—
550C4⋊#595—41no—
551C4⋊#595—41no—
552C4⋊#595—41no—
553C4⋊#595—41no—
554C4⋊#595—41no—
555C4⋊#595—41no—
556C4⋊#595—41no—
557C4⋊#595—41no—
558C4⋊#595—41no—
559C4⋊#595—41no—
560C4⋊#595—41no—
561C4⋊#595—41no—
562C4⋊#595—41no—
563C4⋊#595—41no—
564C4⋊#595—41no—
565C4×#595—22no—
566C4×#595—22no—
567C4×#595—22no—
568C4×#595—22no—
569C4×#595—22no—
570C4×#595—41no—
571C4×#595—41no—
572C4×#595—41no—
573C4×#595—41no—
574C4×#595—41no—
575C4×#595—41no—
576C4×#595—41no—
577C4×#595—41no—
578C4×#595—41no—
579C4×#595—41no—
580C4×#595—41no—
581C4×#595—41no—
582C4×#595—41no—
583C4×#595—41no—
584C4×#595—41no—
585C4×#595—41no—
586C4×#595—41no—
587C4×#595—41no—
588C4×#595—41no—
589C4×#595—41no—
590C4×#595—41no—
591C4⋊C4×C17C22×C411yescharacteristic
592C4⋊C4×C17C22×C411yescharacteristic
593C4⋊C4×C17C22×C411yescharacteristic
594C4⋊C4×C17C22×C411yescharacteristic
595C4⋊C4×C17C22×C411yescharacteristic
596C4⋊C4×C17C22×C411yescharacteristic
597C4⋊C4×C17C22×C411yescharacteristic
598C4⋊C4×C17C22×C411yescharacteristic
599C4⋊C4×C17C22×C411yescharacteristic
600C4⋊C4×C17C22×C411yescharacteristic
601C4⋊C4×C17C22×C411yescharacteristic
602C4⋊C4×C17C22×C411yescharacteristic
603C4⋊C4×C17C22×C411yescharacteristic
604C4⋊C4×C17C22×C411yescharacteristic
605C4⋊C4×C17C22×C411yescharacteristic
606C4⋊C4×C17C22×C411yescharacteristic
607C4⋊C4×C17C22×C411yescharacteristic
608C4⋊C4×C17C22×C411yescharacteristic
609C4⋊C4×C17C22×C411yescharacteristic
610C4⋊C4×C17C22×C411yescharacteristic
611C22⋊C4×C17C22×C411yescharacteristic
612C22⋊C4×C17C22×C411yescharacteristic
613C22⋊C4×C17C22×C411yescharacteristic
614C22⋊C4×C17C22×C411yescharacteristic
615C22⋊C4×C17C22×C411yescharacteristic
616C22⋊C4×C17C22×C411yescharacteristic
617C42×C17C22×C411yescharacteristic
618C42×C17C22×C411yescharacteristic
619C42×C17C22×C411yescharacteristic
620C42×C17C22×C411yescharacteristic
621C42×C17C22×C411yescharacteristic
622C42×C17C22×C411yescharacteristic
623C22⋊Dic17C22×C411yescharacteristic
624C22⋊Dic17C22×C411yescharacteristic
625C22⋊Dic17C22×C411yescharacteristic
626C22⋊Dic17C22×C411yescharacteristic
627C22⋊Dic17C22×C411yescharacteristic
628C22⋊Dic17C22×C411yescharacteristic
629#63227C22×C411yescharacteristic
630#63227C22×C411yescharacteristic
631#63227C22×C411yescharacteristic
632#63227C22×C411yescharacteristic
633#63227C22×C411yescharacteristic
634#63227C22×C411yescharacteristic
635#63227C22×C411yescharacteristic
636#63227C22×C411yescharacteristic
637#63227C22×C411yescharacteristic
638#63227C22×C411yescharacteristic
639#63227C22×C411yescharacteristic
640#63227C22×C411yescharacteristic
641C4⋊Dic17C22×C411yescharacteristic
642C4⋊Dic17C22×C411yescharacteristic
643C4⋊Dic17C22×C411yescharacteristic
644C4⋊Dic17C22×C411yescharacteristic
645C4⋊Dic17C22×C411yescharacteristic
646C4⋊Dic17C22×C411yescharacteristic
647C4⋊Dic17C22×C411yescharacteristic
648C4⋊Dic17C22×C411yescharacteristic
649C4⋊Dic17C22×C411yescharacteristic
650C4⋊Dic17C22×C411yescharacteristic
651C4⋊Dic17C22×C411yescharacteristic
652C4⋊Dic17C22×C411yescharacteristic
653C4⋊Dic17C22×C411yescharacteristic
654C4⋊Dic17C22×C411yescharacteristic
655C4⋊Dic17C22×C411yescharacteristic
656C4⋊Dic17C22×C411yescharacteristic
657C4⋊Dic17C22×C411yescharacteristic
658C4⋊Dic17C22×C411yescharacteristic
659C4⋊Dic17C22×C411yescharacteristic
660C4⋊Dic17C22×C411yescharacteristic
661#63225C22×C411yescharacteristic
662#63225C22×C411yescharacteristic
663#63225C22×C411yescharacteristic
664#63225C22×C411yescharacteristic
665#63225C22×C411yescharacteristic
666#63225C22×C411yescharacteristic
667#63225C22×C411yescharacteristic
668#63225C22×C411yescharacteristic
669#63225C22×C411yescharacteristic
670#63225C22×C411yescharacteristic
671#63225C22×C411yescharacteristic
672#63225C22×C411yescharacteristic
673#63225C22×C411yescharacteristic
674#63225C22×C411yescharacteristic
675#63225C22×C411yescharacteristic
676#63225C22×C411yescharacteristic
677#63225C22×C411yescharacteristic
678#63225C22×C411yescharacteristic
679#63225C22×C411yescharacteristic
680#63225C22×C411yescharacteristic
681#63225C22×C411yescharacteristic
682#63225C22×C411yescharacteristic
683#63225C22×C411yescharacteristic
684#63225C22×C411yescharacteristic
685#63225C22×C411yescharacteristic
686#63225C22×C411yescharacteristic
687#63225C22×C411yescharacteristic
688#63225C22×C411yescharacteristic
689#63225C22×C411yescharacteristic
690#63225C22×C411yescharacteristic
691#63225C22×C411yescharacteristic
692#63225C22×C411yescharacteristic
693#63225C22×C411yescharacteristic
694#63225C22×C411yescharacteristic
695#63225C22×C411yescharacteristic
696#63225C22×C411yescharacteristic
697#63225C22×C411yescharacteristic
698#63225C22×C411yescharacteristic
699#63225C22×C411yescharacteristic
700#63225C22×C411yescharacteristic
701C4×Dic17C22×C411yescharacteristic
702C4×Dic17C22×C411yescharacteristic
703C4×Dic17C22×C411yescharacteristic
704C4×Dic17C22×C411yescharacteristic
705C4×Dic17C22×C411yescharacteristic
706C4×Dic17C22×C411yescharacteristic
707C4×Dic17C22×C411yescharacteristic
708C4×Dic17C22×C411yescharacteristic
709C4×Dic17C22×C411yescharacteristic
710C4×Dic17C22×C411yescharacteristic
711C4×Dic17C22×C411yescharacteristic
712C4×Dic17C22×C411yescharacteristic
713C4×Dic17C22×C411yescharacteristic
714C4×Dic17C22×C411yescharacteristic
715C4×Dic17C22×C411yescharacteristic
716C4×Dic17C22×C411yescharacteristic
717C4×Dic17C22×C411yescharacteristic
718C4×Dic17C22×C411yescharacteristic
719#34455—171nomaximal, Sylow
720C23×C17C23×C411yescharacteristic
721C22×D17—21no—
722C22×D17—21no—
723C22×D17—21no—
724C22×D17—21no—
725C22×D17—21no—
726C22×D17—21no—
727C22×D17C23×C411yescharacteristic
728C22×D17C2511yescharacteristic
729C2×#595—21no—
730C2×#595—21no—
731C2×#595—21no—
732C2×#595—21no—
733C2×#595—21no—
734C2×#595—21no—
735C2×#595—21no—
736C2×#595—21no—
737C2×#595—21no—
738C2×#595—21no—
739C2×#595—21no—
740C2×#595—21no—
741C2×#595—21no—
742C2×#595—21no—
743C2×#595—21no—
744C2×#595—21no—
745C2×#595—21no—
746C2×#595—21no—
747C2×#595—21no—
748C2×#595—21no—
749C2×#595—21no—
750C2×#595—21no—
751C2×#595—21no—
752C2×#595—21no—
753C2×#595—21no—
754C2×#595—21no—
755C2×#595—21no—
756C2×#595—21no—
757C2×#595—21no—
758C2×#595—21no—
759C2×#595—21no—
760C2×#595—21no—
761C2×#595—21no—
762C2×#595—21no—
763C2×#595—21no—
764C2×#595—21no—
765C2×#595—21no—
766C2×#595—21no—
767C2×#595—21no—
768C2×#595—21no—
769C2×#595—21no—
770C2×#595—21no—
771C2×#595—21no—
772C2×#595—21no—
773C2×#595—21no—
774C2×#595—21no—
775C2×#595—82no—
776C2×#595—82no—
777C2×#5952−1+412yes—
778C2×#5952−1+412yes—
779Q8×C17—41no—
780Q8×C17—41no—
781C2×C4×C17—41no—
782C2×C4×C17C23×C411yescharacteristic
783C2×C4×C17C23×C411yescharacteristic
784C2×C4×C17C23×C411yescharacteristic
785C2×C4×C17C23×C411yescharacteristic
786C2×C4×C17C23×C411yescharacteristic
787C2×C4×C17C23×C411yescharacteristic
788C2×C4×C17C23×C411yescharacteristic
789C2×C4×C17C23×C411yescharacteristic
790C2×C4×C17C23×C411yescharacteristic
791C2×C4×C17C23×C411yescharacteristic
792C2×C4×C17C23×C411yescharacteristic
793C2×C4×C17C23×C411yescharacteristic
794C2×C4×C17C23×C411yescharacteristic
795C2×C4×C17C23×C411yescharacteristic
796C2×Dic17—41no—
797C2×Dic17C23×C411yescharacteristic
798C2×Dic17C23×C411yescharacteristic
799C2×Dic17C23×C411yescharacteristic
800C2×Dic17C23×C411yescharacteristic
801C2×Dic17C23×C411yescharacteristic
802C2×Dic17C23×C411yescharacteristic
803C2×Dic17C23×C411yescharacteristic
804C2×Dic17C23×C411yescharacteristic
805C2×Dic17C23×C411yescharacteristic
806C2×Dic17C23×C411yescharacteristic
807C2×Dic17C23×C411yescharacteristic
808C2×Dic17C23×C411yescharacteristic
809C2×Dic17C23×C411yescharacteristic
810C2×Dic17C23×C411yescharacteristic
811C4×D17—21no—
812C4×D17—21no—
813C4×D17—21no—
814C4×D17—21no—
815C4×D17—21no—
816C4×D17—21no—
817C4×D17—21no—
818C4×D17—21no—
819C4×D17—21no—
820C4×D17—21no—
821C4×D17—21no—
822C4×D17—21no—
823C4×D17—21no—
824C4×D17—21no—
825C4×D17—21no—
826C4×D17—21no—
827C4×D17—21no—
828C4×D17—21no—
829C4×D17—21no—
830C4×D17—21no—
831C4×D17—21no—
832C4×D17—21no—
833C4×D17—21no—
834C4×D17—21no—
835C4×D17—21no—
836C4×D17—21no—
837C4×D17—21no—
838C4×D17—21no—
839C4×D17—41no—
840C4×D17—41no—
841Dic34—41no—
842Dic34—41no—
843Dic34—41no—
844Dic34—41no—
845Dic34—41no—
846Dic34—41no—
847C2×#541—171no—
848#2383—171no—
849#2382—171no—
850#2382—171no—
851#2378—171no—
852#2373—171no—
853#2373—171no—
854#2373—171no—
855#2371—171no—
856#2371—171no—
857#2370—171no—
858#2370—171no—
859#2368—171no—
860#2356—171no—
861#2355—171no—
862#2346—171no—
863#2343—171no—
864#2336—171no—
865#2336—171no—
866#2334—171no—
867#2334—171no—
868#2334—171no—
869#2332—171no—
870#2331—171no—
871#2331—171no—
872#2330—171no—
873#2329—171no—
874#2320—171no—
875C4×#125—171no—
876C4×#126—171no—
877#2295—171no—
878C22×C17—21no—
879C22×C17—21no—
880C22×C17—21no—
881C22×C17C24×C411yescharacteristic
882C2×D17—21no—
883C2×D17—21no—
884C2×D17—21no—
885C2×D17—41no—
886C2×D17—41no—
887C2×D17—41no—
888C2×D17—41no—
889C2×D17C2×2−1+411yescharacteristic
890C2×D17C2×2−1+411yescharacteristic
891C2×D17#58511yescharacteristic
892C2×D17#58511yescharacteristic
893C2×D17#58511yescharacteristic
894C2×D17#58511yescharacteristic
895#595—22no—
896#595—22no—
897#595—41no—
898#595—41no—
899#595—41no—
900#595—41no—
901#595—41no—
902#595—41no—
903#595—41no—
904#595—41no—
905#595—41no—
906#595—41no—
907#595—41no—
908#595—41no—
909#595—41no—
910#595—41no—
911C4×C17—21no—
912C4×C17—21no—
913C4×C17—21no—
914C4×C17—21no—
915C4×C17—21no—
916C4×C17—21no—
917C4×C17—21no—
918C4×C17—21no—
919C4×C17—21no—
920C4×C17—21no—
921C4×C17—21no—
922C4×C17—21no—
923C4×C17—21no—
924C4×C17—21no—
925Dic17—21no—
926Dic17—21no—
927Dic17—21no—
928Dic17—21no—
929Dic17—21no—
930Dic17—21no—
931Dic17—21no—
932Dic17—21no—
933Dic17—21no—
934Dic17—21no—
935Dic17—21no—
936Dic17—21no—
937Dic17—21no—
938Dic17—21no—
939#541—171no—
940#541—171no—
941#541—171no—
942#541—171no—
943#541—171no—
944#541—171no—
945#541—171no—
946#541—171no—
947#541—171no—
948#541—171no—
949#541—171no—
950#541—171no—
951#541—171no—
952#541—171no—
953#541—171no—
954#541#59511yescharacteristic, complemented
955C2×C4⋊Q8—171no—
956C2×#126—171no—
957C2×#126—171no—
958C2×#126—171no—
959C2×#126—171no—
960C2×#125—171no—
961C2×#125—171no—
962C2×#125—171no—
963C2×#125—171no—
964C2×#125—171no—
965C2×C22⋊Q8—171no—
966C2×C22⋊Q8—171no—
967C2×C4×Q8—171no—
968C2×C4×Q8—171no—
969C2×#117—171no—
970#391—171no—
971#391—171no—
972#391—171no—
973#391—171no—
974#391—171no—
975#391—171no—
976#391—171no—
977#391—171no—
978#389—171no—
979#389—171no—
980#389—171no—
981#389—171no—
982#389—171no—
983#389—171no—
984#389—171no—
985#389—171no—
986#389—171no—
987#389—171no—
988#389—171no—
989#389—171no—
990#389—171no—
991#389—171no—
992#389—171no—
993#389—171no—
994#389—171no—
995#389—171no—
996#388—171no—
997#388—171no—
998#388—171no—
999#388—171no—
1000#388—171no—
1001#388—171no—
1002#388—171no—
1003#388—171no—
1004#388—171no—
1005#388—171no—
1006#388—171no—
1007#388—171no—
1008#387—171no—
1009#387—171no—
1010#387—171no—
1011#387—171no—
1012#387—171no—
1013#387—171no—
1014#387—171no—
1015#387—171no—
1016#387—171no—
1017#387—171no—
1018#387—171no—
1019#387—171no—
1020#387—171no—
1021#387—171no—
1022#387—171no—
1023#387—171no—
1024#387—171no—
1025#387—171no—
1026#387—171no—
1027#387—171no—
1028#387—171no—
1029#387—171no—
1030#387—171no—
1031#387—171no—
1032#387—171no—
1033#387—171no—
1034#387—171no—
1035#387—171no—
1036#387—171no—
1037#387—171no—
1038#387—171no—
1039#387—171no—
1040#387—171no—
1041#387—171no—
1042#387—171no—
1043#387—171no—
1044#387—171no—
1045#387—171no—
1046#387—171no—
1047#387—171no—
1048#387—171no—
1049#387—171no—
1050#387—171no—
1051#387—171no—
1052#385—171no—
1053#385—171no—
1054#385—171no—
1055#385—171no—
1056#385—171no—
1057#385—171no—
1058#384—171no—
1059#383—171no—
1060#383—171no—
1061#383—171no—
1062#382—171no—
1063#382—171no—
1064#382—171no—
1065#382—171no—
1066#382—171no—
1067#382—171no—
1068#381—171no—
1069#380—171no—
1070C4×C4⋊C4—171no—
1071C4×C4⋊C4—171no—
1072C4×C4⋊C4—171no—
1073C4×C4⋊C4—171no—
1074C4×C4⋊C4—171no—
1075C4×C4⋊C4—171no—
1076C4×C4⋊C4—171no—
1077C4×C4⋊C4—171no—
1078C4×C4⋊C4—171no—
1079C4×C4⋊C4—171no—
1080C4×C4⋊C4—171no—
1081C4×C4⋊C4—171no—
1082C4×C4⋊C4—171no—
1083C4×C4⋊C4—171no—
1084C4×C4⋊C4—171no—
1085C4×C4⋊C4—171no—
1086C4×C4⋊C4—171no—
1087C4×C4⋊C4—171no—
1088C4×C4⋊C4—171no—
1089C4×C4⋊C4—171no—
1090C4×C4⋊C4—171no—
1091C4×C4⋊C4—171no—
1092C4×C4⋊C4—171no—
1093C4×C4⋊C4—171no—
1094C4×C4⋊C4—171no—
1095C4×C22⋊C4—171no—
1096C4×C22⋊C4—171no—
1097C4×C22⋊C4—171no—
1098C4×C22⋊C4—171no—
1099C4×C22⋊C4—171no—
1100C4×C22⋊C4—171no—
1101C4×C22⋊C4—171no—
1102#376—171no—
1103#376—171no—
1104#376—171no—
1105#376—171no—
1106#376—171no—
1107#376—171no—
1108C2×#95—171no—
1109C43—171no—
1110C2×C17—41no—
1111C2×C17#342811yescharacteristic
1112C2×C17C4×2−1+411yescharacteristic
1113C2×C17C4×2−1+411yescharacteristic
1114D17—41no—
1115D17#356311yescharacteristic
1116D17#356411yescharacteristic
1117D17#356511yescharacteristic
1118D17#356611yescharacteristic
1119C22×Q8—171no—
1120C22×Q8—171no—
1121C23×C4—171no—
1122C23×C4—171no—
1123C23×C4—171no—
1124C4⋊Q8—171no—
1125C4⋊Q8—171no—
1126C4⋊Q8—171no—
1127C4⋊Q8—171no—
1128C4⋊Q8—171no—
1129C4⋊Q8—171no—
1130C4⋊Q8—171no—
1131C4⋊Q8C2×#59511yescharacteristic, complemented
1132#126—171no—
1133#126—171no—
1134#126—171no—
1135#126—171no—
1136#126—171no—
1137#126—171no—
1138#126—171no—
1139#126—171no—
1140#126—171no—
1141#126—171no—
1142#126—171no—
1143#126—171no—
1144#126—171no—
1145#126—171no—
1146#126—171no—
1147#126—171no—
1148#126—171no—
1149#126—171no—
1150#126—171no—
1151#126—171no—
1152#126—171no—
1153#126—171no—
1154#126—171no—
1155#126—171no—
1156#126—171no—
1157#126—171no—
1158#126—171no—
1159#126—171no—
1160#126C2×#59511yescharacteristic
1161#126C2×#59511yescharacteristic
1162#126C2×#59511yescharacteristic
1163#126C2×#59511yescharacteristic
1164#125—171no—
1165#125—171no—
1166#125—171no—
1167#125—171no—
1168#125—171no—
1169#125—171no—
1170#125—171no—
1171#125—171no—
1172#125—171no—
1173#125—171no—
1174#125—171no—
1175#125—171no—
1176#125—171no—
1177#125—171no—
1178#125—171no—
1179#125—171no—
1180#125—171no—
1181#125—171no—
1182#125—171no—
1183#125—171no—
1184#125—171no—
1185#125—171no—
1186#125—171no—
1187#125—171no—
1188#125—171no—
1189#125—171no—
1190#125—171no—
1191#125—171no—
1192#125—171no—
1193#125—171no—
1194#125—171no—
1195#125—171no—
1196#125—171no—
1197#125—171no—
1198#125—171no—
1199#125C2×#59511yescharacteristic, complemented
1200#125C2×#59511yescharacteristic, complemented
1201#125C2×#59511yescharacteristic, complemented
1202#125C2×#59511yescharacteristic, complemented
1203#125C2×#59511yescharacteristic, complemented
1204C22⋊Q8—171no—
1205C22⋊Q8—171no—
1206C22⋊Q8—171no—
1207C22⋊Q8—171no—
1208C22⋊Q8—171no—
1209C22⋊Q8—171no—
1210C22⋊Q8—171no—
1211C22⋊Q8—171no—
1212C22⋊Q8—171no—
1213C22⋊Q8—171no—
1214C22⋊Q8—171no—
1215C22⋊Q8—171no—
1216C22⋊Q8—171no—
1217C22⋊Q8—171no—
1218C22⋊Q8C2×#59511yescharacteristic
1219C22⋊Q8C2×#59511yescharacteristic
1220C4×Q8—171no—
1221C4×Q8—171no—
1222C4×Q8—171no—
1223C4×Q8—171no—
1224C4×Q8—171no—
1225C4×Q8—171no—
1226C4×Q8—171no—
1227C4×Q8—171no—
1228C4×Q8—171no—
1229C4×Q8—171no—
1230C4×Q8—171no—
1231C4×Q8—171no—
1232C4×Q8—171no—
1233C4×Q8—171no—
1234C4×Q8C2×#59511yescharacteristic, complemented
1235C4×Q8C2×#59511yescharacteristic, complemented
1236#117—171no—
1237#117—171no—
1238#117—171no—
1239#117—171no—
1240#117—171no—
1241#117—171no—
1242#117—171no—
1243#117C2×#59511yescharacteristic
1244C2×C4⋊C4—171no—
1245C2×C4⋊C4—171no—
1246C2×C4⋊C4—171no—
1247C2×C4⋊C4—171no—
1248C2×C4⋊C4—171no—
1249C2×C4⋊C4—171no—
1250C2×C4⋊C4—171no—
1251C2×C4⋊C4—171no—
1252C2×C4⋊C4—171no—
1253C2×C4⋊C4—171no—
1254C2×C4⋊C4—171no—
1255C2×C4⋊C4—171no—
1256C2×C4⋊C4—171no—
1257C2×C4⋊C4—171no—
1258C2×C4⋊C4—171no—
1259C2×C4⋊C4—171no—
1260C2×C4⋊C4—171no—
1261C2×C4⋊C4—171no—
1262C2×C4⋊C4—171no—
1263C2×C4⋊C4—171no—
1264C2×C4⋊C4—171no—
1265C2×C4⋊C4—171no—
1266C2×C4⋊C4—171no—
1267C2×C4⋊C4—171no—
1268C2×C4⋊C4—171no—
1269C2×C4⋊C4—171no—
1270C2×C4⋊C4—171no—
1271C2×C4⋊C4—171no—
1272C2×C4⋊C4—171no—
1273C2×C4⋊C4—171no—
1274C2×C4⋊C4—171no—
1275C2×C4⋊C4—171no—
1276C2×C4⋊C4—171no—
1277C2×C4⋊C4—171no—
1278C2×C4⋊C4—171no—
1279C2×C4⋊C4—171no—
1280C2×C4⋊C4—171no—
1281C2×C4⋊C4—171no—
1282C2×C4⋊C4—171no—
1283C2×C4⋊C4—171no—
1284C2×C4⋊C4—171no—
1285C2×C4⋊C4—171no—
1286C2×C4⋊C4—171no—
1287C2×C4⋊C4—171no—
1288C2×C4⋊C4—171no—
1289C2×C4⋊C4—171no—
1290C2×C22⋊C4—171no—
1291C2×C22⋊C4—171no—
1292C2×C22⋊C4—171no—
1293C2×C22⋊C4—171no—
1294C2×C22⋊C4—171no—
1295C2×C22⋊C4—171no—
1296C2×C22⋊C4—171no—
1297C2×C22⋊C4—171no—
1298C2×C22⋊C4—171no—
1299C2×C22⋊C4—171no—
1300C2×C22⋊C4—171no—
1301C2×C22⋊C4—171no—
1302C2×C42—171no—
1303C2×C42—171no—
1304C2×C42—171no—
1305C2×C42—171no—
1306C2×C42—171no—
1307C2×C42—171no—
1308C2×C42—171no—
1309C2×C42—171no—
1310C2×C42—171no—
1311C2×C42—171no—
1312C2×C42—171no—
1313C2×C42—171no—
1314C2×C42—171no—
1315C2×C42—171no—
1316C2×C42—171no—
1317C2×C42—171no—
1318C2×C42—171no—
1319C2×C42—171no—
1320C2×C42—171no—
1321C2×C42—171no—
1322C2×C42—171no—
1323C2×C42—171no—
1324C2×C42—171no—
1325C2×C42—171no—
1326C2×C42—171no—
1327C2×C42—171no—
1328C2×C42—171no—
1329C2×C42—171no—
1330C2×C42—171no—
1331C2×C42—171no—
1332C2×C42—171no—
1333C2×C42—171no—
1334#95—171no—
1335#95—171no—
1336#95—171no—
1337#95—171no—
1338#95—171no—
1339#95—171no—
1340#95—171no—
1341#95—171no—
1342#95—171no—
1343#95—171no—
1344#95—171no—
1345#95—171no—
1346#95—171no—
1347#95—171no—
1348#95—171no—
1349#95—171no—
1350#95—171no—
1351#95—171no—
1352#95—171no—
1353#95—171no—
1354#95—171no—
1355#95—171no—
1356#95—171no—
1357#95—171no—
1358#95—171no—
1359#95—171no—
1360#95—171no—
1361#95—171no—
1362#95—171no—
1363#95—171no—
1364#95—171no—
1365#95—171no—
1366#95—171no—
1367#95—171no—
1368#95—171no—
1369#95—171no—
1370#95—171no—
1371#95—171no—
1372#95—171no—
1373#95—171no—
1374#95—171no—
1375#95—171no—
1376#95—171no—
1377#95—171no—
1378#95—171no—
1379#95—171no—
1380#95—171no—
1381#95—171no—
1382#95—171no—
1383#95—171no—
1384#95—171no—
1385#95—171no—
1386#95—171no—
1387#95—171no—
1388#95—171no—
1389#95—171no—
1390#95—171no—
1391#95—171no—
1392#95—171no—
1393#95—171no—
1394C17#3445511yescharacteristic, complemented, Sylow
1395C24—171no—
1396C2×Q8—171no—
1397C2×Q8—171no—
1398C2×Q8—171no—
1399C2×Q8—171no—
1400C2×Q8—171no—
1401C2×Q8—171no—
1402C2×Q8—681no—
1403C2×Q8—681no—
1404C2×Q8—681no—
1405C2×Q8—681no—
1406C2×Q8C22×#59511yescharacteristic
1407C2×Q8C22×#59511yescharacteristic
1408C22×C4—171no—
1409C22×C4—171no—
1410C22×C4—171no—
1411C22×C4—171no—
1412C22×C4—171no—
1413C22×C4—171no—
1414C22×C4—171no—
1415C22×C4—171no—
1416C22×C4—171no—
1417C22×C4—171no—
1418C22×C4—171no—
1419C22×C4—171no—
1420C22×C4—171no—
1421C22×C4—171no—
1422C22×C4—171no—
1423C22×C4—171no—
1424C22×C4—171no—
1425C22×C4—171no—
1426C22×C4—171no—
1427C22×C4—171no—
1428C22×C4—171no—
1429C22×C4—171no—
1430C22×C4—171no—
1431C22×C4—171no—
1432C22×C4—171no—
1433C22×C4—171no—
1434C22×C4—171no—
1435C22×C4—171no—
1436C22×C4—171no—
1437C22×C4—171no—
1438C22×C4—171no—
1439C22×C4—171no—
1440C22×C4—171no—
1441C22×C4—342no—
1442C22×C4—681no—
1443C22×C4—681no—
1444C22×C4—681no—
1445C22×C4—681no—
1446C22×C4—681no—
1447C22×C4—681no—
1448C22×C4—681no—
1449C22×C4C22×#59511yescharacteristic
1450C4⋊C4—171no—
1451C4⋊C4—171no—
1452C4⋊C4—171no—
1453C4⋊C4—171no—
1454C4⋊C4—171no—
1455C4⋊C4—171no—
1456C4⋊C4—171no—
1457C4⋊C4—171no—
1458C4⋊C4—171no—
1459C4⋊C4—171no—
1460C4⋊C4—171no—
1461C4⋊C4—171no—
1462C4⋊C4—171no—
1463C4⋊C4—171no—
1464C4⋊C4—171no—
1465C4⋊C4—171no—
1466C4⋊C4—171no—
1467C4⋊C4—171no—
1468C4⋊C4—171no—
1469C4⋊C4—171no—
1470C4⋊C4—171no—
1471C4⋊C4—171no—
1472C4⋊C4—171no—
1473C4⋊C4—171no—
1474C4⋊C4—171no—
1475C4⋊C4—171no—
1476C4⋊C4—171no—
1477C4⋊C4—171no—
1478C4⋊C4—171no—
1479C4⋊C4—171no—
1480C4⋊C4—171no—
1481C4⋊C4—171no—
1482C4⋊C4—171no—
1483C4⋊C4—171no—
1484C4⋊C4—171no—
1485C4⋊C4—171no—
1486C4⋊C4—171no—
1487C4⋊C4—171no—
1488C4⋊C4—171no—
1489C4⋊C4—171no—
1490C4⋊C4—171no—
1491C4⋊C4—171no—
1492C4⋊C4—171no—
1493C4⋊C4—171no—
1494C4⋊C4—171no—
1495C4⋊C4—171no—
1496C4⋊C4—171no—
1497C4⋊C4—171no—
1498C4⋊C4—171no—
1499C4⋊C4—171no—
1500C4⋊C4—171no—
1501C4⋊C4—171no—
1502C4⋊C4—171no—
1503C4⋊C4—171no—
1504C4⋊C4—171no—
1505C4⋊C4—171no—
1506C4⋊C4—171no—
1507C4⋊C4—171no—
1508C4⋊C4—171no—
1509C4⋊C4—171no—
1510C4⋊C4—342no—
1511C4⋊C4—342no—
1512C4⋊C4—342no—
1513C4⋊C4—681no—
1514C4⋊C4—681no—
1515C4⋊C4—681no—
1516C4⋊C4—681no—
1517C4⋊C4—681no—
1518C4⋊C4—681no—
1519C4⋊C4—681no—
1520C4⋊C4—681no—
1521C4⋊C4—681no—
1522C4⋊C4—681no—
1523C4⋊C4—681no—
1524C4⋊C4—681no—
1525C4⋊C4—681no—
1526C4⋊C4—681no—
1527C4⋊C4—681no—
1528C4⋊C4—681no—
1529C4⋊C4—681no—
1530C4⋊C4—681no—
1531C4⋊C4—681no—
1532C4⋊C4—681no—
1533C4⋊C4—681no—
1534C4⋊C4—681no—
1535C4⋊C4—681no—
1536C4⋊C4C22×#59511yescharacteristic
1537C4⋊C4C22×#59511yescharacteristic
1538C4⋊C4C22×#59511yescharacteristic
1539C4⋊C4C22×#59511yescharacteristic
1540C4⋊C4C22×#59511yescharacteristic
1541C4⋊C4C22×#59511yescharacteristic
1542C4⋊C4C22×#59511yescharacteristic
1543C4⋊C4C22×#59511yescharacteristic
1544C4⋊C4C22×#59511yescharacteristic
1545C4⋊C4C22×#59511yescharacteristic
1546C4⋊C4C22×#59511yescharacteristic
1547C4⋊C4C22×#59511yescharacteristic
1548C4⋊C4C22×#59511yescharacteristic
1549C4⋊C4C22×#59511yescharacteristic
1550C4⋊C4C22×#59511yescharacteristic
1551C4⋊C4C22×#59511yescharacteristic
1552C4⋊C4C22×#59511yescharacteristic
1553C4⋊C4C22×#59511yescharacteristic
1554C4⋊C4C22×#59511yescharacteristic
1555C4⋊C4C22×#59511yescharacteristic
1556C22⋊C4—171no—
1557C22⋊C4—171no—
1558C22⋊C4—171no—
1559C22⋊C4—171no—
1560C22⋊C4—171no—
1561C22⋊C4—171no—
1562C22⋊C4—171no—
1563C22⋊C4—171no—
1564C22⋊C4—171no—
1565C22⋊C4—171no—
1566C22⋊C4—171no—
1567C22⋊C4—171no—
1568C22⋊C4—171no—
1569C22⋊C4—171no—
1570C22⋊C4—171no—
1571C22⋊C4—171no—
1572C22⋊C4—171no—
1573C22⋊C4—171no—
1574C22⋊C4—342no—
1575C22⋊C4—681no—
1576C22⋊C4—681no—
1577C22⋊C4—681no—
1578C22⋊C4—681no—
1579C22⋊C4—681no—
1580C22⋊C4C22×#59511yescharacteristic
1581C22⋊C4C22×#59511yescharacteristic
1582C22⋊C4C22×#59511yescharacteristic
1583C22⋊C4C22×#59511yescharacteristic
1584C22⋊C4C22×#59511yescharacteristic
1585C22⋊C4C22×#59511yescharacteristic
1586C42—171no—
1587C42—171no—
1588C42—171no—
1589C42—171no—
1590C42—171no—
1591C42—171no—
1592C42—171no—
1593C42—171no—
1594C42—171no—
1595C42—171no—
1596C42—171no—
1597C42—171no—
1598C42—171no—
1599C42—171no—
1600C42—171no—
1601C42—171no—
1602C42—171no—
1603C42—171no—
1604C42—342no—
1605C42—342no—
1606C42—342no—
1607C42—342no—
1608C42—342no—
1609C42—681no—
1610C42—681no—
1611C42—681no—
1612C42—681no—
1613C42—681no—
1614C42—681no—
1615C42—681no—
1616C42—681no—
1617C42—681no—
1618C42—681no—
1619C42—681no—
1620C42—681no—
1621C42—681no—
1622C42—681no—
1623C42—681no—
1624C42—681no—
1625C42—681no—
1626C42—681no—
1627C42—681no—
1628C42—681no—
1629C42—681no—
1630C42C22×#59511yescharacteristic
1631C42C22×#59511yescharacteristic
1632C42C22×#59511yescharacteristic
1633C42C22×#59511yescharacteristic
1634C42C22×#59511yescharacteristic
1635C42C22×#59511yescharacteristic
1636C23—171no—
1637C23—171no—
1638C23—341no—
1639C23—341no—
1640C23—341no—
1641C23—341no—
1642C23—341no—
1643C23—341no—
1644C23C23×#59511yescharacteristic
1645Q8—41no—
1646Q8—41no—
1647Q8—681no—
1648Q8—681no—
1649Q8—681no—
1650Q8—681no—
1651Q8—681no—
1652Q8—681no—
1653C2×C4—41no—
1654C2×C4—172no—
1655C2×C4—172no—
1656C2×C4—171no—
1657C2×C4—171no—
1658C2×C4—171no—
1659C2×C4—171no—
1660C2×C4—171no—
1661C2×C4—171no—
1662C2×C4—171no—
1663C2×C4—171no—
1664C2×C4—171no—
1665C2×C4—171no—
1666C2×C4—171no—
1667C2×C4—171no—
1668C2×C4—171no—
1669C2×C4—171no—
1670C2×C4—341no—
1671C2×C4—341no—
1672C2×C4—341no—
1673C2×C4—341no—
1674C2×C4—341no—
1675C2×C4—341no—
1676C2×C4—341no—
1677C2×C4—341no—
1678C2×C4—341no—
1679C2×C4—341no—
1680C2×C4—341no—
1681C2×C4—341no—
1682C2×C4—341no—
1683C2×C4—341no—
1684C2×C4—341no—
1685C2×C4—341no—
1686C2×C4—341no—
1687C2×C4—341no—
1688C2×C4—341no—
1689C2×C4—341no—
1690C2×C4—341no—
1691C2×C4—341no—
1692C2×C4—341no—
1693C2×C4—341no—
1694C2×C4—341no—
1695C2×C4—341no—
1696C2×C4—341no—
1697C2×C4—341no—
1698C2×C4—341no—
1699C2×C4—341no—
1700C2×C4—341no—
1701C2×C4—341no—
1702C2×C4—341no—
1703C2×C4—341no—
1704C2×C4—341no—
1705C2×C4—341no—
1706C2×C4—341no—
1707C2×C4—341no—
1708C2×C4—341no—
1709C2×C4—341no—
1710C2×C4—341no—
1711C2×C4—341no—
1712C2×C4—341no—
1713C2×C4—341no—
1714C2×C4—341no—
1715C2×C4—341no—
1716C2×C4—341no—
1717C2×C4—341no—
1718C2×C4—341no—
1719C2×C4—341no—
1720C2×C4—341no—
1721C2×C4—341no—
1722C2×C4—341no—
1723C2×C4—341no—
1724C2×C4—341no—
1725C2×C4—341no—
1726C2×C4—341no—
1727C2×C4—341no—
1728C2×C4—341no—
1729C2×C4—341no—
1730C2×C4—341no—
1731C2×C4—341no—
1732C2×C4—341no—
1733C2×C4—341no—
1734C2×C4—341no—
1735C2×C4—341no—
1736C2×C4—341no—
1737C2×C4—341no—
1738C2×C4—341no—
1739C2×C4—341no—
1740C2×C4—341no—
1741C2×C4—341no—
1742C2×C4—341no—
1743C2×C4—341no—
1744C2×C4—681no—
1745C2×C4—681no—
1746C2×C4—681no—
1747C2×C4—1362no—
1748C2×C4—1362no—
1749C2×C4C23×#59511yescharacteristic
1750C2×C4C23×#59511yescharacteristic
1751C2×C4C23×#59511yescharacteristic
1752C2×C4C23×#59511yescharacteristic
1753C2×C4C23×#59511yescharacteristic
1754C2×C4C23×#59511yescharacteristic
1755C2×C4C23×#59511yescharacteristic
1756C2×C4C23×#59511yescharacteristic
1757C2×C4C23×#59511yescharacteristic
1758C2×C4C23×#59511yescharacteristic
1759C2×C4C23×#59511yescharacteristic
1760C2×C4C23×#59511yescharacteristic
1761C2×C4C23×#59511yescharacteristic
1762C2×C4C23×#59511yescharacteristic
1763C22—21no—
1764C22—21no—
1765C22—21no—
1766C22—171no—
1767C22—171no—
1768C22—171no—
1769C22—171no—
1770C22—171no—
1771C22—171no—
1772C22—341no—
1773C22—341no—
1774C22—341no—
1775C22—681no—
1776C22—681no—
1777C22—681no—
1778C22—681no—
1779C22C24×#59511yescharacteristic
1780C4—21no—
1781C4—21no—
1782C4—21no—
1783C4—21no—
1784C4—21no—
1785C4—21no—
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—342no—
1795C4—342no—
1796C4—341no—
1797C4—341no—
1798C4—341no—
1799C4—341no—
1800C4—341no—
1801C4—341no—
1802C4—341no—
1803C4—341no—
1804C4—341no—
1805C4—341no—
1806C4—341no—
1807C4—341no—
1808C4—341no—
1809C4—341no—
1810C4—681no—
1811C4—681no—
1812C4—681no—
1813C4—681no—
1814C4—681no—
1815C4—681no—
1816C4—681no—
1817C4—681no—
1818C4—681no—
1819C4—681no—
1820C4—681no—
1821C4—681no—
1822C4—681no—
1823C4—681no—
1824C2—41no—
1825C2—171no—
1826C2—171no—
1827C2—171no—
1828C2—171no—
1829C2—681no—
1830C2#1454576411yescharacteristic
1831C22−1+4×#59511yescharacteristic
1832C22−1+4×#59511yescharacteristic
subgroupG/H
center, FrattiniC22C24×#595
commutator, socleC22×C17C24×C4
FittingC17×#541C4
prime radicalC23×D17C24
cosocleC22×D17C25
hypercenter#541#595
hypocenterC17#34455
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ #541

Complements

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

NH ≅ G/Ntype
2. #14545330C2semidirect
3. #14545330C2semidirect
8. #14545319C2semidirect
9. #14545319C2semidirect
10. #14545318C2semidirect
11. #14545318C2semidirect
13. #14545304C2semidirect
14. #14545303C2semidirect
17. #14545284C2semidirect
18. #14545284C2semidirect
23. #14545279C2semidirect
24. #14545279C2semidirect
25. #14545278C2semidirect
27. #14545268C2semidirect
28. #125×#595C2semidirect
30. #14545243C2semidirect
172. #11763422C4semidirect
173. #11763421C4semidirect
174. #11763420C4semidirect
175. #11763419C4semidirect
176. #11763419C4semidirect
177. #11763418C4semidirect
178. #11763418C4semidirect
179. #11763418C4semidirect
180. #11763418C4semidirect
181. #11763417C4semidirect
182. #11763417C4semidirect
183. #11763416C4semidirect
184. #11763416C4semidirect
185. #11763416C4semidirect
186. #11763416C4semidirect
202. C17×#541C4semidirect
266. C17×C4⋊Q8C2×C4semidirect
271. C17×#125C2×C4semidirect
272. C17×#125C2×C4semidirect
273. C17×#125C2×C4semidirect
274. C17×#125C2×C4semidirect
275. C17×#125C2×C4semidirect
278. C4×Q8×C17C2×C4semidirect
279. C4×Q8×C17C2×C4semidirect
283. Q8×Dic17C2×C4semidirect
284. Q8×Dic17C2×C4semidirect
285. #10587630C2×C4semidirect
286. #10587630C2×C4semidirect
330. #10587576C2×C4semidirect
331. #10587576C2×C4semidirect
332. #10587576C2×C4semidirect
333. #10587576C2×C4semidirect
334. #10587576C2×C4semidirect
335. #10587576C2×C4semidirect
336. #10587576C2×C4semidirect
337. #10587576C2×C4semidirect
338. #10587576C2×C4semidirect
339. #10587576C2×C4semidirect
340. #10587575C2×C4semidirect
341. #10587575C2×C4semidirect
342. #10587575C2×C4semidirect
343. #10587575C2×C4semidirect
344. #10587575C2×C4semidirect
345. #10587575C2×C4semidirect
346. #10587575C2×C4semidirect
347. #10587575C2×C4semidirect
348. #10587575C2×C4semidirect
349. #10587575C2×C4semidirect
350. #10587575C2×C4semidirect
351. #10587575C2×C4semidirect
352. #10587575C2×C4semidirect
353. #10587575C2×C4semidirect
354. #10587575C2×C4semidirect
355. #10587575C2×C4semidirect
356. #10587575C2×C4semidirect
357. #10587575C2×C4semidirect
358. #10587575C2×C4semidirect
359. #10587575C2×C4semidirect
360. #10587574C2×C4semidirect
361. #10587574C2×C4semidirect
362. #10587574C2×C4semidirect
363. #10587574C2×C4semidirect
364. #10587573C2×C4semidirect
365. #10587573C2×C4semidirect
366. #10587573C2×C4semidirect
367. #10587573C2×C4semidirect
368. #10587573C2×C4semidirect
369. #10587573C2×C4semidirect
406. #10587556C2×C4semidirect
407. #10587556C2×C4semidirect
408. #10587556C2×C4semidirect
409. #10587556C2×C4semidirect
410. #10587556C2×C4semidirect
411. #10587555C2×C4semidirect
412. C4×Dic34C2×C4semidirect
413. C4×Dic34C2×C4semidirect
414. C4×Dic34C2×C4semidirect
415. C4×Dic34C2×C4semidirect
416. C4×Dic34C2×C4semidirect
417. C4×Dic34C2×C4semidirect
954. #541#595semidirect
1131. C4⋊Q8C2×#595semidirect
1199. #125C2×#595semidirect
1200. #125C2×#595semidirect
1201. #125C2×#595semidirect
1202. #125C2×#595semidirect
1203. #125C2×#595semidirect
1234. C4×Q8C2×#595semidirect
1235. C4×Q8C2×#595semidirect
1394. C17#34455semidirect

Maximal subgroups

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

subgroupindex
#145453312
#145453302
#145453262
#145453212
#145453192
#145453182
#145453162
#145453042
#145453032
#145452942
#145452912
#145452842
#145452822
#145452802
#145452792
#145452782
#145452772
#145452682
#125×#5952
#126×#5952
#145452432
D17×#5412
#3445517