Finite Group Databasebeta

← #17979310

Subgroups — #17979310

Order 4352.

2074 conjugacy classes of subgroups.

The subgroup lattice has 2010 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14545331C211yesmaximal, characteristic, complemented
2#14545325C211yesmaximal, characteristic
3#14545324C211yesmaximal, characteristic, complemented
4#14545324C211yesmaximal, characteristic, complemented
5#14545322C211yesmaximal, characteristic, complemented
6#14545321C211yesmaximal, characteristic, complemented
7#14545321C211yesmaximal, characteristic, complemented
8#14545321C211yesmaximal, characteristic, complemented
9#14545319C211yesmaximal, characteristic, complemented
10#14545318C211yesmaximal, characteristic, complemented
11#14545311C211yesmaximal, characteristic
12#14545307C211yesmaximal, characteristic, complemented
13#14545302C211yesmaximal, characteristic, complemented
14#14545301C211yesmaximal, characteristic, complemented
15#14545293C211yesmaximal, characteristic, complemented
16#14545292C211yesmaximal, characteristic, complemented
17#14545284C211yesmaximal, characteristic, complemented
18#14545283C211yesmaximal, characteristic, complemented
19#14545283C211yesmaximal, characteristic, complemented
20#14545283C211yesmaximal, characteristic, complemented
21#14545280C211yesmaximal, characteristic, complemented
22#14545280C211yesmaximal, characteristic, complemented
23#14545278C211yesmaximal, characteristic, complemented
24#14545277C211yesmaximal, characteristic, complemented
25#14545271C211yesmaximal, characteristic, complemented
26#14545271C211yesmaximal, characteristic, complemented
27#14545267C211yesmaximal, characteristic, complemented
28C22⋊Q8×#595C211yesmaximal, characteristic, complemented
29#123×#595C211yesmaximal, characteristic, complemented
30#14545238C211yesmaximal, characteristic, complemented
31D17×#539C211yesmaximal, characteristic
32C2×Q8×#595C2211yescharacteristic
33C2×D4×#595C2211yescharacteristic
34C2×#10587677C2211yescharacteristic
35C2×#10587677C2211yescharacteristic
36C2×#10587677C2211yescharacteristic
37C22×C4×#595C2211yescharacteristic
38(C2×#595)⋊Q8C2211yescharacteristic
39(C2×#595)⋊Q8C2211yescharacteristic
40(C2×#595)⋊Q8C2211yescharacteristic
41#11763761C2211yescharacteristic
42#11763761C2211yescharacteristic
43#11763761C2211yescharacteristic
44#11763761C2211yescharacteristic
45#11763761C2211yescharacteristic
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#11763760C2211yescharacteristic
59#11763760C2211yescharacteristic
60#11763759C2211yescharacteristic
61#11763759C2211yescharacteristic
62#11763759C2211yescharacteristic
63#11763759C2211yescharacteristic
64#11763759C2211yescharacteristic
65#11763759C2211yescharacteristic
66#11763759C2211yescharacteristic
67#11763759C2211yescharacteristic
68#11763759C2211yescharacteristic
69#11763759C2211yescharacteristic
70#11763759C2211yescharacteristic
71#11763759C2211yescharacteristic
72#11763759C2211yescharacteristic
73#11763759C2211yescharacteristic
74#11763759C2211yescharacteristic
75#11763759C2211yescharacteristic
76#11763759C2211yescharacteristic
77#11763759C2211yescharacteristic
78#11763759C2211yescharacteristic
79#11763759C2211yescharacteristic
80#11763759C2211yescharacteristic
81#11763759C2211yescharacteristic
82#11763759C2211yescharacteristic
83#11763759C2211yescharacteristic
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#11763757C2211yescharacteristic
113#11763757C2211yescharacteristic
114#11763757C2211yescharacteristic
115#11763757C2211yescharacteristic
116#11763757C2211yescharacteristic
117#11763757C2211yescharacteristic
118#11763756C2211yescharacteristic
119#11763756C2211yescharacteristic
120#11763756C2211yescharacteristic
121#11763756C2211yescharacteristic
122#11763756C2211yescharacteristic
123#11763756C2211yescharacteristic
124#11763756C2211yescharacteristic
125#11763756C2211yescharacteristic
126#11763755C2211yescharacteristic
127#11763754C2211yescharacteristic
128#11763752C2211yescharacteristic
129#11763752C2211yescharacteristic
130#11763752C2211yescharacteristic
131#11763751C2211yescharacteristic
132#11763751C2211yescharacteristic
133#11763751C2211yescharacteristic
134#11763751C2211yescharacteristic
135#11763751C2211yescharacteristic
136#11763751C2211yescharacteristic
137#11763751C2211yescharacteristic
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
155C22⋊C4×#595C2211yescharacteristic
156C22⋊C4×#595C2211yescharacteristic
157C22⋊C4×#595C2211yescharacteristic
158C22⋊C4×#595C2211yescharacteristic
159C22⋊C4×#595C2211yescharacteristic
160C22⋊C4×#595C2211yescharacteristic
161C22⋊C4×#595C2211yescharacteristic
162C22⋊C4×#595C2211yescharacteristic
163C4×C22⋊#595C2211yescharacteristic
164C4×C22⋊#595C2211yescharacteristic
165C4×C22⋊#595C2211yescharacteristic
166C4×C22⋊#595C2211yescharacteristic
167C4×C22⋊#595C2211yescharacteristic
168#11763745C2211yescharacteristic
169#11763745C2211yescharacteristic
170#11763745C2211yescharacteristic
171C2×(C2×#595)⋊C4C2211yescharacteristic
172#11763408C411yescharacteristic, complemented
173#11763407C411yescharacteristic, complemented
174#11763407C411yescharacteristic, complemented
175#11763406C411yescharacteristic, complemented
176#11763405C411yescharacteristic, complemented
177#11763405C411yescharacteristic, complemented
178#11763404C411yescharacteristic, complemented
179#11763403C411yescharacteristic, complemented
180#11763403C411yescharacteristic, complemented
181#11763402C411yescharacteristic, complemented
182#11763402C411yescharacteristic, complemented
183#11763401C411yescharacteristic, complemented
184#11763401C411yescharacteristic, complemented
185#11763400C411yescharacteristic, complemented
186#11763400C411yescharacteristic, complemented
187#126×D17C2211yescharacteristic
188#126×D17C2211yescharacteristic
189#125×D17C2211yescharacteristic
190#125×D17C2211yescharacteristic
191#123×D17C2211yescharacteristic
192#123×D17C2211yescharacteristic
193#123×D17C2211yescharacteristic
194#123×D17C2211yescharacteristic
195C22⋊Q8×D17C2211yescharacteristic
196C22⋊Q8×D17C2211yescharacteristic
197C22⋊Q8×D17C2211yescharacteristic
198#121×D17C2211yescharacteristic
199C4×D4×D17C2211yescharacteristic
200C4×D4×D17C2211yescharacteristic
201C2×C4⋊C4×D17C2211yescharacteristic
202C17×#539C411yescharacteristic, complemented
203C23×#595C2311yescharacteristic
204C23×#595C2311yescharacteristic
205C23×#595C2311yescharacteristic
206C23×#595C2311yescharacteristic
207C2×Q8×D17C2311yescharacteristic
208C2×D4×D17C2311yescharacteristic
209C2×D4×D17C2311yescharacteristic
210C2×D4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C2×C22⋊#595C2311yescharacteristic
217C2×C22⋊#595C2311yescharacteristic
218C2×C22⋊#595C2311yescharacteristic
219C2×C22⋊#595C2311yescharacteristic
220C2×C22⋊#595C2311yescharacteristic
221C2×C22⋊#595C2311yescharacteristic
222C2×C22⋊#595C2311yescharacteristic
223C2×C22⋊#595C2311yescharacteristic
224C2×C22⋊#595C2311yescharacteristic
225C2×C22⋊#595C2311yescharacteristic
226C2×C22⋊#595C2311yescharacteristic
227C2×C22⋊#595C2311yescharacteristic
228C2×C22⋊#595C2311yescharacteristic
229C2×C22⋊#595C2311yescharacteristic
230C2×C22⋊#595C2311yescharacteristic
231C2×C22⋊#595C2311yescharacteristic
232C2×C22⋊#595C2311yescharacteristic
233C2×C22⋊#595C2311yescharacteristic
234C2×C22⋊#595C2311yescharacteristic
235C2×C22⋊#595C2311yescharacteristic
236Q8×#595—42no—
237D4×#595—42no—
238#10587677—42no—
239#10587677—42no—
240#10587677—42no—
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×#595—42no—
266C2×C4×#595C2311yescharacteristic
267C2×C4×#595C2311yescharacteristic
268C2×C4×#595C2311yescharacteristic
269C2×C4×#595C2311yescharacteristic
270C2×C4×#595C2311yescharacteristic
271C2×C4×#595C2311yescharacteristic
272C2×C4×#595C2311yescharacteristic
273C2×C4×#595C2311yescharacteristic
274C2×C4×#595C2311yescharacteristic
275C2×C4×#595C2311yescharacteristic
276C2×C4×#595C2311yescharacteristic
277C2×C4×#595C2311yescharacteristic
278C2×C4×#595C2311yescharacteristic
279C2×C4×#595C2311yescharacteristic
280C2×C4×#595C2311yescharacteristic
281C2×C4×#595C2311yescharacteristic
282C2×C4×#595C2311yescharacteristic
283C2×C4×#595C2311yescharacteristic
284C2×C4×#595C2311yescharacteristic
285C2×C4×#595C2311yescharacteristic
286C2×C4×#595C2311yescharacteristic
287C2×C4×#595C2311yescharacteristic
288C2×C4×#595C2311yescharacteristic
289C2×C4×#595C2311yescharacteristic
290C17×#126C2×C411yescharacteristic, complemented
291C17×#126C2×C411yescharacteristic, complemented
292C17×#125C2×C411yescharacteristic, complemented
293C17×#125C2×C411yescharacteristic, complemented
294C17×#123C2×C411yescharacteristic
295C17×#123C2×C411yescharacteristic
296C17×#123C2×C411yescharacteristic, complemented
297C17×#123C2×C411yescharacteristic, complemented
298C17×C22⋊Q8C2×C411yescharacteristic, complemented
299C17×C22⋊Q8C2×C411yescharacteristic, complemented
300C17×C22⋊Q8C2×C411yescharacteristic, complemented
301C17×#121C2×C411yescharacteristic
302C4×D4×C17C2×C411yescharacteristic, complemented
303C4×D4×C17C2×C411yescharacteristic, complemented
304C2×C4⋊C4×C17C2×C411yescharacteristic, complemented
305#10587632C2×C411yescharacteristic, complemented
306#10587632C2×C411yescharacteristic, complemented
307#10587632C2×C411yescharacteristic, complemented
308#10587625C2×C411yescharacteristic
309#10587625C2×C411yescharacteristic
310#10587624C2×C411yescharacteristic
311#10587621C2×C411yescharacteristic
312#10587621C2×C411yescharacteristic
313#10587621C2×C411yescharacteristic, complemented
314#10587621C2×C411yescharacteristic, complemented
315D4×Dic17C2×C411yescharacteristic, complemented
316D4×Dic17C2×C411yescharacteristic, complemented
317#10587616C2×C411yescharacteristic
318#10587615C2×C411yescharacteristic
319#10587615C2×C411yescharacteristic
320#10587615C2×C411yescharacteristic, complemented
321#10587615C2×C411yescharacteristic, complemented
322C4×C22⋊D17C2×C411yescharacteristic, complemented
323C4×C22⋊D17C2×C411yescharacteristic, complemented
324C4×C22⋊D17C2×C411yescharacteristic, complemented
325C4×C22⋊D17C2×C411yescharacteristic, complemented
326C2×C4⋊Dic17C2×C411yescharacteristic, complemented
327#10587610C2×C411yescharacteristic, complemented
328#10587610C2×C411yescharacteristic, complemented
329#10587610C2×C411yescharacteristic, complemented
330C2×#63225C2×C411yescharacteristic, complemented
331C2×#63225C2×C411yescharacteristic, complemented
332#10587584C2×C411yescharacteristic, complemented
333#10587584C2×C411yescharacteristic, complemented
334#10587584C2×C411yescharacteristic, complemented
335#10587584C2×C411yescharacteristic, complemented
336#10587584C2×C411yescharacteristic, complemented
337#10587584C2×C411yescharacteristic, complemented
338#10587583C2×C411yescharacteristic, complemented
339#10587583C2×C411yescharacteristic, complemented
340#10587583C2×C411yescharacteristic, complemented
341#10587582C2×C411yescharacteristic, complemented
342#10587582C2×C411yescharacteristic, complemented
343#10587582C2×C411yescharacteristic, complemented
344#10587582C2×C411yescharacteristic, complemented
345#10587582C2×C411yescharacteristic, complemented
346#10587582C2×C411yescharacteristic, complemented
347#10587581C2×C411yescharacteristic
348#10587580C2×C411yescharacteristic
349#10587580C2×C411yescharacteristic
350#10587580C2×C411yescharacteristic
351#10587580C2×C411yescharacteristic
352#10587580C2×C411yescharacteristic, complemented
353#10587580C2×C411yescharacteristic, complemented
354#10587580C2×C411yescharacteristic, complemented
355#10587580C2×C411yescharacteristic, complemented
356#10587579C2×C411yescharacteristic, complemented
357#10587579C2×C411yescharacteristic, complemented
358C4⋊C4×D17C2×C411yescharacteristic, complemented
359C4⋊C4×D17C2×C411yescharacteristic, complemented
360C4⋊C4×D17C2×C411yescharacteristic, complemented
361C4⋊C4×D17C2×C411yescharacteristic, complemented
362C4⋊C4×D17C2311yescharacteristic
363C4⋊C4×D17C2311yescharacteristic
364C4⋊C4×D17C2311yescharacteristic
365C4⋊C4×D17C2311yescharacteristic
366C4⋊C4×D17C2311yescharacteristic
367C4⋊C4×D17C2311yescharacteristic
368C4⋊C4×D17C2311yescharacteristic
369C4⋊C4×D17C2311yescharacteristic
370C4⋊C4×D17C2311yescharacteristic
371C4⋊C4×D17C2311yescharacteristic
372C4⋊C4×D17C2311yescharacteristic
373C4⋊C4×D17C2311yescharacteristic
374C4⋊C4×D17C2311yescharacteristic
375C4⋊C4×D17C2311yescharacteristic
376#10587576C2×C411yescharacteristic, complemented
377#10587576C2×C411yescharacteristic, complemented
378#10587576C2×C411yescharacteristic, complemented
379#10587576C2×C411yescharacteristic, complemented
380#10587575C2×C411yescharacteristic, complemented
381#10587575C2×C411yescharacteristic, complemented
382#10587575C2×C411yescharacteristic, complemented
383#10587575C2×C411yescharacteristic, complemented
384#10587575C2×C411yescharacteristic, complemented
385#10587575C2×C411yescharacteristic, complemented
386#10587575C2×C411yescharacteristic, complemented
387#10587575C2×C411yescharacteristic, complemented
388#10587572C2×C411yescharacteristic
389#10587572C2×C411yescharacteristic
390#10587572C2×C411yescharacteristic, complemented
391#10587572C2×C411yescharacteristic, complemented
392#10587570C2×C411yescharacteristic
393#10587570C2×C411yescharacteristic
394#10587569C2×C411yescharacteristic
395#10587569C2×C411yescharacteristic
396#10587569C2×C411yescharacteristic
397#10587569C2×C411yescharacteristic
398#10587569C2×C411yescharacteristic, complemented
399#10587569C2×C411yescharacteristic, complemented
400#10587569C2×C411yescharacteristic, complemented
401#10587569C2×C411yescharacteristic, complemented
402#10587567C2×C411yescharacteristic, complemented
403#10587567C2×C411yescharacteristic, complemented
404#10587567C2×C411yescharacteristic, complemented
405#10587567C2×C411yescharacteristic, complemented
406C22⋊C4×D17C2311yescharacteristic
407C22⋊C4×D17C2311yescharacteristic
408C22⋊C4×D17C2311yescharacteristic
409C22⋊C4×D17C2311yescharacteristic
410C22⋊C4×D17C2311yescharacteristic
411C22⋊C4×D17C2311yescharacteristic
412C22⋊C4×D17C2311yescharacteristic
413C22⋊C4×D17C2311yescharacteristic
414C22⋊C4×D17C2311yescharacteristic
415C22⋊C4×D17C2311yescharacteristic
416#10587565C2×C411yescharacteristic, complemented
417#10587565C2×C411yescharacteristic, complemented
418#10587565C2×C411yescharacteristic, complemented
419#10587565C2×C411yescharacteristic, complemented
420#10587565C2×C411yescharacteristic, complemented
421#10587565C2×C411yescharacteristic, complemented
422#10587564C2×C411yescharacteristic, complemented
423#10587564C2×C411yescharacteristic, complemented
424#10587564C2×C411yescharacteristic, complemented
425#10587564C2×C411yescharacteristic, complemented
426#10587564C2×C411yescharacteristic, complemented
427#10587564C2×C411yescharacteristic, complemented
428#10587562C2×C411yescharacteristic, complemented
429#10587562C2×C411yescharacteristic, complemented
430C4×D68C2×C411yescharacteristic, complemented
431C4×D68C2×C411yescharacteristic, complemented
432C42×D17C2311yescharacteristic
433C42×D17C2311yescharacteristic
434#10587556C2×C411yescharacteristic, complemented
435#10587556C2×C411yescharacteristic, complemented
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
478(C2×#595)⋊C4C2311yescharacteristic
479(C2×#595)⋊C4C2311yescharacteristic
480(C2×#595)⋊C4C2311yescharacteristic
481(C2×#595)⋊C4C2311yescharacteristic
482(C2×#595)⋊C4C2311yescharacteristic
483(C2×#595)⋊C4C2311yescharacteristic
484C23×D17C2411yescharacteristic
485C23×D17C2411yescharacteristic
486C23×D17C2411yescharacteristic
487C22×#595—22no—
488C22×#595—22no—
489C22×#595—22no—
490C22×#595—41no—
491C22×#595—41no—
492C22×#595—41no—
493C22×#595—41no—
494C22×#595—41no—
495C22×#595—41no—
496C22×#595—41no—
497C22×#595—41no—
498C22×#595—41no—
499C22×#595C2411yescharacteristic
500C22×#595C2411yescharacteristic
501C22×#595C2411yescharacteristic
502C22×#595C2411yescharacteristic
503C22×#595C2411yescharacteristic
504C22×#595C2411yescharacteristic
505C22×#595C2411yescharacteristic
506C22×#595C2411yescharacteristic
507C22×#595C2411yescharacteristic
508C22×#595C2411yescharacteristic
509C22×#595C2411yescharacteristic
510C22×#595C2411yescharacteristic
511C22×#595C2411yescharacteristic
512C22×#595C2411yescharacteristic
513C22×#595C2411yescharacteristic
514C22×#595C2411yescharacteristic
515C2×Q8×C17C22×C411yescharacteristic
516C2×D4×C17C22×C411yescharacteristic
517C2×D4×C17C22×C411yescharacteristic
518C2×D4×C17C22×C411yescharacteristic
519C22×C4×C17C22×C411yescharacteristic
520C22×C4×C17C22×C411yescharacteristic
521C22×C4×C17C22×C411yescharacteristic
522C22×C4×C17C22×C411yescharacteristic
523C22×C4×C17C22×C411yescharacteristic
524C2×C22⋊D17C22×C411yescharacteristic
525C2×C22⋊D17C22×C411yescharacteristic
526C2×C22⋊D17C22×C411yescharacteristic
527C2×C22⋊D17C22×C411yescharacteristic
528C2×C22⋊D17C22×C411yescharacteristic
529C2×C22⋊D17C22×C411yescharacteristic
530C22×Dic17C22×C411yescharacteristic
531C22×Dic17C22×C411yescharacteristic
532C22×Dic17C22×C411yescharacteristic
533C22×Dic17C22×C411yescharacteristic
534C22×Dic17C22×C411yescharacteristic
535Q8×D17—41no—
536Q8×D17—41no—
537D4×D17—41no—
538D4×D17—41no—
539D4×D17—41no—
540D4×D17—41no—
541D4×D17—41no—
542D4×D17—41no—
543C2×D68C22×C411yescharacteristic
544C2×D68C22×C411yescharacteristic
545C2×D68C22×C411yescharacteristic
546C2×C4×D17—41no—
547C2×C4×D17—41no—
548C2×C4×D17—41no—
549C2×C4×D17—41no—
550C2×C4×D17—41no—
551C2×C4×D17—41no—
552C2×C4×D17—41no—
553C2×C4×D17—41no—
554C2×C4×D17—41no—
555C2×C4×D17—41no—
556C2×C4×D17C22×C411yescharacteristic
557C2×C4×D17C22×C411yescharacteristic
558C2×C4×D17C22×C411yescharacteristic
559C2×C4×D17C22×C411yescharacteristic
560C2×C4×D17C22×C411yescharacteristic
561C2×C4×D17C22×C411yescharacteristic
562C2×C4×D17C22×C411yescharacteristic
563C2×C4×D17C22×C411yescharacteristic
564C2×C4×D17C22×C411yescharacteristic
565C2×C4×D17C22×C411yescharacteristic
566C2×C4×D17C2411yescharacteristic
567C2×C4×D17C2411yescharacteristic
568C2×C4×D17C2411yescharacteristic
569C2×C4×D17C2411yescharacteristic
570C2×C4×D17C2411yescharacteristic
571C2×C4×D17C2411yescharacteristic
572C2×C4×D17C2411yescharacteristic
573C2×C4×D17C2411yescharacteristic
574C2×C4×D17C2411yescharacteristic
575C2×C4×D17C2411yescharacteristic
576C2×C4×D17C2411yescharacteristic
577C2×C4×D17C2411yescharacteristic
578C2×Dic34C22×C411yescharacteristic
579C2×Dic34C22×C411yescharacteristic
580C2×Dic34C22×C411yescharacteristic
581C22⋊#595—22no—
582C22⋊#595—22no—
583C22⋊#595—22no—
584C22⋊#595—41no—
585C22⋊#595—41no—
586C22⋊#595—41no—
587C22⋊#595—41no—
588C22⋊#595—41no—
589C22⋊#595—41no—
590C22⋊#595—41no—
591C22⋊#595—41no—
592C22⋊#595—41no—
593C22⋊#595—41no—
594C22⋊#595—41no—
595C22⋊#595—41no—
596C22⋊#595—41no—
597C22⋊#595—41no—
598C22⋊#595—41no—
599C22⋊#595—41no—
600C22⋊#595—41no—
601C4⋊#595—22no—
602C4⋊#595—22no—
603C4⋊#595—22no—
604C4⋊#595—41no—
605C4⋊#595—41no—
606C4⋊#595—41no—
607C4⋊#595—41no—
608C4⋊#595—41no—
609C4⋊#595—41no—
610C4⋊#595—41no—
611C4⋊#595—41no—
612C4⋊#595—41no—
613C4⋊#595—41no—
614C4⋊#595—41no—
615C4⋊#595—41no—
616C4⋊#595—41no—
617C4⋊#595—41no—
618C4⋊#595—41no—
619C4⋊#595—41no—
620C4⋊#595—41no—
621C4⋊#595—41no—
622C4⋊#595—41no—
623C4⋊#595—41no—
624C4⋊#595—41no—
625C4×#595—22no—
626C4×#595—22no—
627C4×#595—22no—
628C4×#595—22no—
629C4×#595—22no—
630C4×#595—41no—
631C4×#595—41no—
632C4×#595—41no—
633C4×#595—41no—
634C4×#595—41no—
635C4×#595—41no—
636C4×#595—41no—
637C4×#595—41no—
638C4×#595—41no—
639C4×#595—41no—
640C4×#595—41no—
641C4×#595—41no—
642C4×#595—41no—
643C4×#595—41no—
644C4×#595—41no—
645C4×#595—41no—
646C4×#595—41no—
647C4×#595—41no—
648C4×#595—41no—
649C4⋊C4×C17C22×C411yescharacteristic
650C4⋊C4×C17C22×C411yescharacteristic
651C4⋊C4×C17C22×C411yescharacteristic
652C4⋊C4×C17C22×C411yescharacteristic
653C4⋊C4×C17C22×C411yescharacteristic
654C4⋊C4×C17C22×C411yescharacteristic
655C4⋊C4×C17C22×C411yescharacteristic
656C4⋊C4×C17C22×C411yescharacteristic
657C4⋊C4×C17C22×C411yescharacteristic
658C4⋊C4×C17C22×C411yescharacteristic
659C4⋊C4×C17C22×C411yescharacteristic
660C4⋊C4×C17C22×C411yescharacteristic
661C4⋊C4×C17C22×C411yescharacteristic
662C4⋊C4×C17C22×C411yescharacteristic
663C22⋊C4×C17C22×C411yescharacteristic
664C22⋊C4×C17C22×C411yescharacteristic
665C22⋊C4×C17C22×C411yescharacteristic
666C22⋊C4×C17C22×C411yescharacteristic
667C22⋊C4×C17C22×C411yescharacteristic
668C22⋊C4×C17C22×C411yescharacteristic
669C22⋊C4×C17C22×C411yescharacteristic
670C22⋊C4×C17C22×C411yescharacteristic
671C22⋊C4×C17C22×C411yescharacteristic
672C22⋊C4×C17C22×C411yescharacteristic
673C42×C17C22×C411yescharacteristic
674C42×C17C22×C411yescharacteristic
675C22⋊Dic17C22×C411yescharacteristic
676C22⋊Dic17C22×C411yescharacteristic
677C22⋊Dic17C22×C411yescharacteristic
678C22⋊Dic17C22×C411yescharacteristic
679C22⋊Dic17C22×C411yescharacteristic
680C22⋊Dic17C22×C411yescharacteristic
681C22⋊Dic17C22×C411yescharacteristic
682C22⋊Dic17C22×C411yescharacteristic
683C22⋊Dic17C22×C411yescharacteristic
684C22⋊Dic17C22×C411yescharacteristic
685#63227C22×C411yescharacteristic
686#63227C22×C411yescharacteristic
687#63227C22×C411yescharacteristic
688#63227C22×C411yescharacteristic
689#63227C22×C411yescharacteristic
690#63227C22×C411yescharacteristic
691#63227C22×C411yescharacteristic
692#63227C22×C411yescharacteristic
693#63227C22×C411yescharacteristic
694#63227C22×C411yescharacteristic
695#63227C22×C411yescharacteristic
696#63227C22×C411yescharacteristic
697#63227C22×C411yescharacteristic
698#63227C22×C411yescharacteristic
699#63227C22×C411yescharacteristic
700#63227C22×C411yescharacteristic
701#63227C22×C411yescharacteristic
702#63227C22×C411yescharacteristic
703#63227C22×C411yescharacteristic
704#63227C22×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#63225C22×C411yescharacteristic
720#63225C22×C411yescharacteristic
721#63225C22×C411yescharacteristic
722#63225C22×C411yescharacteristic
723#63225C22×C411yescharacteristic
724#63225C22×C411yescharacteristic
725#63225C22×C411yescharacteristic
726#63225C22×C411yescharacteristic
727#63225C22×C411yescharacteristic
728#63225C22×C411yescharacteristic
729#63225C22×C411yescharacteristic
730#63225C22×C411yescharacteristic
731#63225C22×C411yescharacteristic
732#63225C22×C411yescharacteristic
733#63225C22×C411yescharacteristic
734#63225C22×C411yescharacteristic
735#63225C22×C411yescharacteristic
736#63225C22×C411yescharacteristic
737#63225C22×C411yescharacteristic
738#63225C22×C411yescharacteristic
739#63225C22×C411yescharacteristic
740#63225C22×C411yescharacteristic
741#63225C22×C411yescharacteristic
742#63225C22×C411yescharacteristic
743#63225C22×C411yescharacteristic
744#63225C22×C411yescharacteristic
745#63225C22×C411yescharacteristic
746#63225C22×C411yescharacteristic
747C4×Dic17C22×C411yescharacteristic
748C4×Dic17C22×C411yescharacteristic
749C4×Dic17C22×C411yescharacteristic
750C4×Dic17C22×C411yescharacteristic
751C4×Dic17C22×C411yescharacteristic
752C4×Dic17C22×C411yescharacteristic
753#34443—171nomaximal, Sylow
754C23×C17C23×C411yescharacteristic
755C23×C17C23×C411yescharacteristic
756C23×C17C23×C411yescharacteristic
757C22×D17—21no—
758C22×D17—21no—
759C22×D17—21no—
760C22×D17—21no—
761C22×D17—21no—
762C22×D17—21no—
763C22×D17—21no—
764C22×D17—21no—
765C22×D17—21no—
766C22×D17—21no—
767C22×D17—21no—
768C22×D17—21no—
769C22×D17—21no—
770C22×D17—21no—
771C22×D17—21no—
772C22×D17—21no—
773C22×D17—21no—
774C22×D17—21no—
775C22×D17C23×C411yescharacteristic
776C22×D17C23×C411yescharacteristic
777C22×D17C23×C411yescharacteristic
778C22×D17C2511yescharacteristic
779C2×#595—21no—
780C2×#595—21no—
781C2×#595—21no—
782C2×#595—21no—
783C2×#595—21no—
784C2×#595—21no—
785C2×#595—21no—
786C2×#595—21no—
787C2×#595—21no—
788C2×#595—21no—
789C2×#595—21no—
790C2×#595—21no—
791C2×#595—21no—
792C2×#595—21no—
793C2×#595—21no—
794C2×#595—21no—
795C2×#595—21no—
796C2×#595—21no—
797C2×#595—21no—
798C2×#595—21no—
799C2×#595—21no—
800C2×#595—21no—
801C2×#595—21no—
802C2×#595—21no—
803C2×#595—21no—
804C2×#595—21no—
805C2×#595—21no—
806C2×#595—21no—
807C2×#595—21no—
808C2×#595—21no—
809C2×#595—21no—
810C2×#595—21no—
811C2×#595—21no—
812C2×#595—21no—
813C2×#595—21no—
814C2×#595—21no—
815C2×#595—21no—
816C2×#595—21no—
817C2×#595—21no—
818C2×#595—21no—
819C2×#595—21no—
820C2×#595—21no—
821C2×#595—21no—
822C2×#595—21no—
823C2×#595—21no—
824C2×#595—21no—
825C2×#595—44no—
826C2×#595—44no—
827C2×#595—82no—
828C2×#595—82no—
829C2×#595H(5,𝔽2)12yes—
830C2×#5952−1+412yes—
831Q8×C17—41no—
832D4×C17—41no—
833D4×C17—41no—
834D4×C17—41no—
835C2×C4×C17—41no—
836C2×C4×C17—41no—
837C2×C4×C17—41no—
838C2×C4×C17—41no—
839C2×C4×C17—41no—
840C2×C4×C17C23×C411yescharacteristic
841C2×C4×C17C23×C411yescharacteristic
842C2×C4×C17C23×C411yescharacteristic
843C2×C4×C17C23×C411yescharacteristic
844C2×C4×C17C23×C411yescharacteristic
845C2×C4×C17C23×C411yescharacteristic
846C2×C4×C17C23×C411yescharacteristic
847C2×C4×C17C23×C411yescharacteristic
848C2×C4×C17C23×C411yescharacteristic
849C2×C4×C17C23×C411yescharacteristic
850C2×C4×C17C23×C411yescharacteristic
851C2×C4×C17C23×C411yescharacteristic
852C22⋊D17—41no—
853C22⋊D17—41no—
854C22⋊D17—41no—
855C22⋊D17—41no—
856C22⋊D17—41no—
857C22⋊D17—41no—
858C2×Dic17—41no—
859C2×Dic17—41no—
860C2×Dic17—41no—
861C2×Dic17—41no—
862C2×Dic17—41no—
863C2×Dic17C23×C411yescharacteristic
864C2×Dic17C23×C411yescharacteristic
865C2×Dic17C23×C411yescharacteristic
866C2×Dic17C23×C411yescharacteristic
867C2×Dic17C23×C411yescharacteristic
868C2×Dic17C23×C411yescharacteristic
869C2×Dic17C23×C411yescharacteristic
870C2×Dic17C23×C411yescharacteristic
871C2×Dic17C23×C411yescharacteristic
872C2×Dic17C23×C411yescharacteristic
873C2×Dic17C23×C411yescharacteristic
874C2×Dic17C23×C411yescharacteristic
875D68—41no—
876D68—41no—
877D68—41no—
878C4×D17—21no—
879C4×D17—21no—
880C4×D17—21no—
881C4×D17—21no—
882C4×D17—21no—
883C4×D17—21no—
884C4×D17—21no—
885C4×D17—21no—
886C4×D17—21no—
887C4×D17—21no—
888C4×D17—21no—
889C4×D17—21no—
890C4×D17—21no—
891C4×D17—21no—
892C4×D17—21no—
893C4×D17—21no—
894C4×D17—21no—
895C4×D17—21no—
896C4×D17—21no—
897C4×D17—21no—
898C4×D17—21no—
899C4×D17—21no—
900C4×D17—21no—
901C4×D17—21no—
902C4×D17—41no—
903C4×D17—41no—
904C4×D17—41no—
905C4×D17—41no—
906C4×D17—41no—
907C4×D17—41no—
908C4×D17—41no—
909C4×D17—41no—
910C4×D17—41no—
911C4×D17—41no—
912Dic34—41no—
913Dic34—41no—
914Dic34—41no—
915C2×#539—171no—
916#2383—171no—
917#2377—171no—
918#2376—171no—
919#2376—171no—
920#2374—171no—
921#2373—171no—
922#2373—171no—
923#2373—171no—
924#2371—171no—
925#2370—171no—
926#2363—171no—
927#2359—171no—
928#2354—171no—
929#2353—171no—
930#2345—171no—
931#2344—171no—
932#2336—171no—
933#2335—171no—
934#2335—171no—
935#2335—171no—
936#2332—171no—
937#2332—171no—
938#2330—171no—
939#2329—171no—
940#2323—171no—
941#2323—171no—
942#2319—171no—
943C4×C22⋊Q8—171no—
944C4×#123—171no—
945#2290—171no—
946C22×C17—21no—
947C22×C17—21no—
948C22×C17—21no—
949C22×C17—21no—
950C22×C17—21no—
951C22×C17—21no—
952C22×C17—21no—
953C22×C17—21no—
954C22×C17—21no—
955C22×C17C24×C411yescharacteristic
956C2×D17—21no—
957C2×D17—21no—
958C2×D17—21no—
959C2×D17—21no—
960C2×D17—21no—
961C2×D17—21no—
962C2×D17—21no—
963C2×D17—21no—
964C2×D17—21no—
965C2×D17—41no—
966C2×D17—41no—
967C2×D17—41no—
968C2×D17—41no—
969C2×D17—41no—
970C2×D17—41no—
971C2×D17—41no—
972C2×D17—41no—
973C2×D17—41no—
974C2×D17—41no—
975C2×D17—41no—
976C2×D17—41no—
977C2×D17C2×H(5,𝔽2)11yescharacteristic
978C2×D17C2×2−1+411yescharacteristic
979C2×D17#58511yescharacteristic
980C2×D17#58511yescharacteristic
981C2×D17#58511yescharacteristic
982C2×D17#58511yescharacteristic
983#595—22no—
984#595—22no—
985#595—41no—
986#595—41no—
987#595—41no—
988#595—41no—
989#595—41no—
990#595—41no—
991#595—41no—
992#595—41no—
993#595—41no—
994#595—41no—
995#595—41no—
996#595—41no—
997#595—41no—
998#595—41no—
999C4×C17—21no—
1000C4×C17—21no—
1001C4×C17—21no—
1002C4×C17—21no—
1003C4×C17—21no—
1004C4×C17—21no—
1005C4×C17—21no—
1006C4×C17—21no—
1007C4×C17—21no—
1008C4×C17—21no—
1009C4×C17—21no—
1010C4×C17—21no—
1011Dic17—21no—
1012Dic17—21no—
1013Dic17—21no—
1014Dic17—21no—
1015Dic17—21no—
1016Dic17—21no—
1017Dic17—21no—
1018Dic17—21no—
1019Dic17—21no—
1020Dic17—21no—
1021Dic17—21no—
1022Dic17—21no—
1023#539—171no—
1024#539—171no—
1025#539—171no—
1026#539—171no—
1027#539—171no—
1028#539—171no—
1029#539—171no—
1030#539—171no—
1031#539—171no—
1032#539—171no—
1033#539—171no—
1034#539—171no—
1035#539—171no—
1036#539—171no—
1037#539—171no—
1038#539#59511yescharacteristic, complemented
1039C2×#126—171no—
1040C2×#126—171no—
1041C2×#125—171no—
1042C2×#125—171no—
1043C2×#123—171no—
1044C2×#123—171no—
1045C2×#123—171no—
1046C2×#123—171no—
1047C2×C22⋊Q8—171no—
1048C2×C22⋊Q8—171no—
1049C2×C22⋊Q8—171no—
1050C2×#121—171no—
1051C2×C4×Q8—171no—
1052C2×C4×D4—171no—
1053C2×C4×D4—171no—
1054C2×C4×D4—171no—
1055C2×#117—171no—
1056C2×#117—171no—
1057C2×#117—171no—
1058C22×C4⋊C4—171no—
1059C22×C42—171no—
1060#391—171no—
1061#391—171no—
1062#391—171no—
1063#390—171no—
1064#390—171no—
1065#390—171no—
1066#390—171no—
1067#390—171no—
1068#389—171no—
1069#389—171no—
1070#389—171no—
1071#389—171no—
1072#389—171no—
1073#389—171no—
1074#389—171no—
1075#389—171no—
1076#389—171no—
1077#389—171no—
1078#389—171no—
1079#389—171no—
1080#389—171no—
1081#389—171no—
1082#388—171no—
1083#388—171no—
1084#388—171no—
1085#388—171no—
1086#388—171no—
1087#388—171no—
1088#388—171no—
1089#388—171no—
1090#388—171no—
1091#388—171no—
1092#388—171no—
1093#388—171no—
1094#388—171no—
1095#388—171no—
1096#388—171no—
1097#388—171no—
1098#388—171no—
1099#388—171no—
1100#388—171no—
1101#388—171no—
1102#388—171no—
1103#388—171no—
1104#388—171no—
1105#388—171no—
1106#387—171no—
1107#387—171no—
1108#387—171no—
1109#387—171no—
1110#387—171no—
1111#387—171no—
1112#387—171no—
1113#387—171no—
1114#387—171no—
1115#387—171no—
1116#387—171no—
1117#387—171no—
1118#387—171no—
1119#387—171no—
1120#387—171no—
1121#387—171no—
1122#387—171no—
1123#387—171no—
1124#387—171no—
1125#387—171no—
1126#387—171no—
1127#387—171no—
1128#387—171no—
1129#387—171no—
1130#387—171no—
1131#387—171no—
1132#387—171no—
1133#387—171no—
1134#386—171no—
1135#386—171no—
1136#386—171no—
1137#386—171no—
1138#386—171no—
1139#386—171no—
1140#385—171no—
1141#385—171no—
1142#385—171no—
1143#385—171no—
1144#385—171no—
1145#385—171no—
1146#385—171no—
1147#385—171no—
1148#384—171no—
1149#383—171no—
1150#381—171no—
1151#381—171no—
1152#381—171no—
1153#380—171no—
1154#380—171no—
1155#380—171no—
1156#380—171no—
1157#380—171no—
1158#380—171no—
1159#380—171no—
1160C4×C4⋊C4—171no—
1161C4×C4⋊C4—171no—
1162C4×C4⋊C4—171no—
1163C4×C4⋊C4—171no—
1164C4×C4⋊C4—171no—
1165C4×C4⋊C4—171no—
1166C4×C4⋊C4—171no—
1167C4×C4⋊C4—171no—
1168C4×C4⋊C4—171no—
1169C4×C4⋊C4—171no—
1170C4×C4⋊C4—171no—
1171C4×C4⋊C4—171no—
1172C4×C4⋊C4—171no—
1173C4×C4⋊C4—171no—
1174C4×C4⋊C4—171no—
1175C4×C4⋊C4—171no—
1176C4×C4⋊C4—171no—
1177C4×C22⋊C4—171no—
1178C4×C22⋊C4—171no—
1179C4×C22⋊C4—171no—
1180C4×C22⋊C4—171no—
1181C4×C22⋊C4—171no—
1182C4×C22⋊C4—171no—
1183C4×C22⋊C4—171no—
1184C4×C22⋊C4—171no—
1185C4×C22⋊C4—171no—
1186C4×C22⋊C4—171no—
1187C4×C22⋊C4—171no—
1188C4×C22⋊C4—171no—
1189C4×C22⋊C4—171no—
1190#376—171no—
1191#376—171no—
1192#376—171no—
1193C2×#95—171no—
1194C2×C17—41no—
1195C2×C17—41no—
1196C2×C17—41no—
1197C2×C17#342811yescharacteristic
1198C2×C17C4×H(5,𝔽2)11yescharacteristic
1199C2×C17C4×2−1+411yescharacteristic
1200D17—41no—
1201D17—41no—
1202D17—41no—
1203D17#353511yescharacteristic
1204D17#353911yescharacteristic
1205D17#356511yescharacteristic
1206D17#356611yescharacteristic
1207C22×Q8—171no—
1208C22×D4—171no—
1209C22×D4—171no—
1210C22×D4—171no—
1211C23×C4—171no—
1212C23×C4—171no—
1213C23×C4—171no—
1214C23×C4—171no—
1215C23×C4—171no—
1216C23×C4—171no—
1217C23×C4—171no—
1218C23×C4—171no—
1219C23×C4—171no—
1220#126—171no—
1221#126—171no—
1222#126—171no—
1223#126—171no—
1224#126—171no—
1225#126—171no—
1226#126—171no—
1227#126—171no—
1228#126—171no—
1229#126—171no—
1230#126—171no—
1231#126—171no—
1232#126—171no—
1233#126—171no—
1234#126C2×#59511yescharacteristic, complemented
1235#126C2×#59511yescharacteristic, complemented
1236#125—171no—
1237#125—171no—
1238#125—171no—
1239#125—171no—
1240#125—171no—
1241#125—171no—
1242#125—171no—
1243#125—171no—
1244#125—171no—
1245#125—171no—
1246#125—171no—
1247#125—171no—
1248#125—171no—
1249#125—171no—
1250#125C2×#59511yescharacteristic, complemented
1251#125C2×#59511yescharacteristic, complemented
1252#123—171no—
1253#123—171no—
1254#123—171no—
1255#123—171no—
1256#123—171no—
1257#123—171no—
1258#123—171no—
1259#123—171no—
1260#123—171no—
1261#123—171no—
1262#123—171no—
1263#123—171no—
1264#123—171no—
1265#123—171no—
1266#123—171no—
1267#123—171no—
1268#123—171no—
1269#123—171no—
1270#123—171no—
1271#123—171no—
1272#123—171no—
1273#123—171no—
1274#123—171no—
1275#123—171no—
1276#123—171no—
1277#123—171no—
1278#123—171no—
1279#123—171no—
1280#123C2×#59511yescharacteristic
1281#123C2×#59511yescharacteristic
1282#123C2×#59511yescharacteristic, complemented
1283#123C2×#59511yescharacteristic, complemented
1284C22⋊Q8—171no—
1285C22⋊Q8—171no—
1286C22⋊Q8—171no—
1287C22⋊Q8—171no—
1288C22⋊Q8—171no—
1289C22⋊Q8—171no—
1290C22⋊Q8—171no—
1291C22⋊Q8—171no—
1292C22⋊Q8—171no—
1293C22⋊Q8—171no—
1294C22⋊Q8—171no—
1295C22⋊Q8—171no—
1296C22⋊Q8—171no—
1297C22⋊Q8—171no—
1298C22⋊Q8—171no—
1299C22⋊Q8—171no—
1300C22⋊Q8—171no—
1301C22⋊Q8—171no—
1302C22⋊Q8—171no—
1303C22⋊Q8—171no—
1304C22⋊Q8—171no—
1305C22⋊Q8C2×#59511yescharacteristic, complemented
1306C22⋊Q8C2×#59511yescharacteristic, complemented
1307C22⋊Q8C2×#59511yescharacteristic, complemented
1308#121—171no—
1309#121—171no—
1310#121—171no—
1311#121—171no—
1312#121—171no—
1313#121—171no—
1314#121—171no—
1315#121C2×#59511yescharacteristic
1316C4×Q8—682no—
1317C4×D4—171no—
1318C4×D4—171no—
1319C4×D4—171no—
1320C4×D4—171no—
1321C4×D4—171no—
1322C4×D4—171no—
1323C4×D4—171no—
1324C4×D4—171no—
1325C4×D4—171no—
1326C4×D4—171no—
1327C4×D4—171no—
1328C4×D4—171no—
1329C4×D4—171no—
1330C4×D4—171no—
1331C4×D4—682no—
1332C4×D4C2×#59511yescharacteristic, complemented
1333C4×D4C2×#59511yescharacteristic, complemented
1334#117—682no—
1335#117—682no—
1336#117—682no—
1337C2×C4⋊C4—171no—
1338C2×C4⋊C4—171no—
1339C2×C4⋊C4—171no—
1340C2×C4⋊C4—171no—
1341C2×C4⋊C4—171no—
1342C2×C4⋊C4—171no—
1343C2×C4⋊C4—171no—
1344C2×C4⋊C4—171no—
1345C2×C4⋊C4—171no—
1346C2×C4⋊C4—171no—
1347C2×C4⋊C4—171no—
1348C2×C4⋊C4—171no—
1349C2×C4⋊C4—171no—
1350C2×C4⋊C4—171no—
1351C2×C4⋊C4—171no—
1352C2×C4⋊C4—171no—
1353C2×C4⋊C4—171no—
1354C2×C4⋊C4—171no—
1355C2×C4⋊C4—171no—
1356C2×C4⋊C4—171no—
1357C2×C4⋊C4—171no—
1358C2×C4⋊C4—171no—
1359C2×C4⋊C4—171no—
1360C2×C4⋊C4—171no—
1361C2×C4⋊C4—171no—
1362C2×C4⋊C4—171no—
1363C2×C4⋊C4—171no—
1364C2×C4⋊C4—171no—
1365C2×C4⋊C4—171no—
1366C2×C4⋊C4—171no—
1367C2×C4⋊C4—171no—
1368C2×C4⋊C4—171no—
1369C2×C4⋊C4—171no—
1370C2×C4⋊C4—171no—
1371C2×C4⋊C4—171no—
1372C2×C4⋊C4—171no—
1373C2×C4⋊C4—171no—
1374C2×C4⋊C4—171no—
1375C2×C4⋊C4—171no—
1376C2×C4⋊C4—171no—
1377C2×C4⋊C4—171no—
1378C2×C4⋊C4—171no—
1379C2×C4⋊C4—171no—
1380C2×C4⋊C4—171no—
1381C2×C4⋊C4—171no—
1382C2×C4⋊C4C2×#59511yescharacteristic, complemented
1383C2×C22⋊C4—171no—
1384C2×C22⋊C4—171no—
1385C2×C22⋊C4—171no—
1386C2×C22⋊C4—171no—
1387C2×C22⋊C4—171no—
1388C2×C22⋊C4—171no—
1389C2×C22⋊C4—171no—
1390C2×C22⋊C4—171no—
1391C2×C22⋊C4—171no—
1392C2×C22⋊C4—171no—
1393C2×C22⋊C4—171no—
1394C2×C22⋊C4—171no—
1395C2×C22⋊C4—171no—
1396C2×C22⋊C4—171no—
1397C2×C22⋊C4—171no—
1398C2×C22⋊C4—171no—
1399C2×C22⋊C4—171no—
1400C2×C22⋊C4—171no—
1401C2×C22⋊C4—171no—
1402C2×C22⋊C4—171no—
1403C2×C22⋊C4—171no—
1404C2×C22⋊C4—171no—
1405C2×C22⋊C4—171no—
1406C2×C22⋊C4—171no—
1407C2×C22⋊C4—171no—
1408C2×C22⋊C4—171no—
1409C2×C22⋊C4—171no—
1410C2×C22⋊C4—171no—
1411C2×C22⋊C4—171no—
1412C2×C22⋊C4—171no—
1413C2×C42—171no—
1414C2×C42—171no—
1415C2×C42—171no—
1416C2×C42—171no—
1417C2×C42—171no—
1418C2×C42—171no—
1419C2×C42—171no—
1420C2×C42—171no—
1421C2×C42—171no—
1422C2×C42—171no—
1423C2×C42—171no—
1424C2×C42—171no—
1425C2×C42—171no—
1426C2×C42—171no—
1427C2×C42—171no—
1428C2×C42—171no—
1429C2×C42—171no—
1430C2×C42—171no—
1431C2×C42—171no—
1432C2×C42—171no—
1433C2×C42—171no—
1434C2×C42—171no—
1435C2×C42—171no—
1436C2×C42—171no—
1437C2×C42—171no—
1438C2×C42—171no—
1439C2×C42—682no—
1440#95—171no—
1441#95—171no—
1442#95—171no—
1443#95—171no—
1444#95—171no—
1445#95—171no—
1446#95—171no—
1447#95—171no—
1448#95—171no—
1449#95—171no—
1450#95—171no—
1451#95—171no—
1452#95—171no—
1453#95—171no—
1454#95—171no—
1455#95—171no—
1456#95—171no—
1457#95—171no—
1458#95—171no—
1459#95—171no—
1460#95—171no—
1461#95—171no—
1462#95—171no—
1463#95—171no—
1464#95—171no—
1465#95—171no—
1466#95—171no—
1467#95—171no—
1468#95—171no—
1469#95—171no—
1470#95—171no—
1471#95—171no—
1472#95—171no—
1473#95—171no—
1474#95—171no—
1475#95—171no—
1476#95—171no—
1477#95—171no—
1478#95—171no—
1479#95—171no—
1480#95—171no—
1481#95—171no—
1482#95—171no—
1483#95—171no—
1484#95—171no—
1485#95—171no—
1486#95—171no—
1487#95—171no—
1488C17#3444311yescharacteristic, complemented, Sylow
1489C24—171no—
1490C24—171no—
1491C24—171no—
1492C2×Q8—171no—
1493C2×Q8—171no—
1494C2×Q8—171no—
1495C2×Q8—681no—
1496C2×Q8—681no—
1497C2×Q8C22×#59511yescharacteristic
1498C2×D4—171no—
1499C2×D4—171no—
1500C2×D4—171no—
1501C2×D4—171no—
1502C2×D4—171no—
1503C2×D4—171no—
1504C2×D4—171no—
1505C2×D4—171no—
1506C2×D4—171no—
1507C2×D4—681no—
1508C2×D4—681no—
1509C2×D4—681no—
1510C2×D4—681no—
1511C2×D4—681no—
1512C2×D4—681no—
1513C2×D4C22×#59511yescharacteristic
1514C2×D4C22×#59511yescharacteristic
1515C2×D4C22×#59511yescharacteristic
1516C22×C4—171no—
1517C22×C4—171no—
1518C22×C4—171no—
1519C22×C4—171no—
1520C22×C4—171no—
1521C22×C4—171no—
1522C22×C4—171no—
1523C22×C4—171no—
1524C22×C4—171no—
1525C22×C4—171no—
1526C22×C4—171no—
1527C22×C4—171no—
1528C22×C4—171no—
1529C22×C4—171no—
1530C22×C4—171no—
1531C22×C4—171no—
1532C22×C4—171no—
1533C22×C4—171no—
1534C22×C4—171no—
1535C22×C4—171no—
1536C22×C4—171no—
1537C22×C4—171no—
1538C22×C4—171no—
1539C22×C4—171no—
1540C22×C4—171no—
1541C22×C4—171no—
1542C22×C4—171no—
1543C22×C4—171no—
1544C22×C4—171no—
1545C22×C4—171no—
1546C22×C4—171no—
1547C22×C4—171no—
1548C22×C4—171no—
1549C22×C4—171no—
1550C22×C4—171no—
1551C22×C4—171no—
1552C22×C4—171no—
1553C22×C4—171no—
1554C22×C4—171no—
1555C22×C4—171no—
1556C22×C4—171no—
1557C22×C4—171no—
1558C22×C4—171no—
1559C22×C4—342no—
1560C22×C4—342no—
1561C22×C4—342no—
1562C22×C4—681no—
1563C22×C4—681no—
1564C22×C4—681no—
1565C22×C4—681no—
1566C22×C4—681no—
1567C22×C4—681no—
1568C22×C4—681no—
1569C22×C4—681no—
1570C22×C4—681no—
1571C22×C4—681no—
1572C22×C4—681no—
1573C22×C4—681no—
1574C22×C4—681no—
1575C22×C4—681no—
1576C22×C4—681no—
1577C22×C4—681no—
1578C22×C4—681no—
1579C22×C4—681no—
1580C22×C4—681no—
1581C22×C4C22×#59511yescharacteristic
1582C22×C4C22×#59511yescharacteristic
1583C22×C4C22×#59511yescharacteristic
1584C22×C4C22×#59511yescharacteristic
1585C22×C4C22×#59511yescharacteristic
1586C4⋊C4—171no—
1587C4⋊C4—171no—
1588C4⋊C4—171no—
1589C4⋊C4—171no—
1590C4⋊C4—171no—
1591C4⋊C4—171no—
1592C4⋊C4—171no—
1593C4⋊C4—171no—
1594C4⋊C4—171no—
1595C4⋊C4—171no—
1596C4⋊C4—171no—
1597C4⋊C4—171no—
1598C4⋊C4—171no—
1599C4⋊C4—171no—
1600C4⋊C4—171no—
1601C4⋊C4—171no—
1602C4⋊C4—171no—
1603C4⋊C4—171no—
1604C4⋊C4—171no—
1605C4⋊C4—171no—
1606C4⋊C4—171no—
1607C4⋊C4—171no—
1608C4⋊C4—171no—
1609C4⋊C4—171no—
1610C4⋊C4—171no—
1611C4⋊C4—171no—
1612C4⋊C4—171no—
1613C4⋊C4—171no—
1614C4⋊C4—171no—
1615C4⋊C4—171no—
1616C4⋊C4—171no—
1617C4⋊C4—171no—
1618C4⋊C4—171no—
1619C4⋊C4—171no—
1620C4⋊C4—171no—
1621C4⋊C4—171no—
1622C4⋊C4—171no—
1623C4⋊C4—171no—
1624C4⋊C4—171no—
1625C4⋊C4—171no—
1626C4⋊C4—171no—
1627C4⋊C4—171no—
1628C4⋊C4—342no—
1629C4⋊C4—342no—
1630C4⋊C4—342no—
1631C4⋊C4—681no—
1632C4⋊C4—681no—
1633C4⋊C4—681no—
1634C4⋊C4—681no—
1635C4⋊C4—681no—
1636C4⋊C4—681no—
1637C4⋊C4—681no—
1638C4⋊C4—681no—
1639C4⋊C4—681no—
1640C4⋊C4—681no—
1641C4⋊C4—681no—
1642C4⋊C4—681no—
1643C4⋊C4—681no—
1644C4⋊C4—681no—
1645C4⋊C4—681no—
1646C4⋊C4—681no—
1647C4⋊C4—681no—
1648C4⋊C4—681no—
1649C4⋊C4—681no—
1650C4⋊C4—681no—
1651C4⋊C4—681no—
1652C4⋊C4C22×#59511yescharacteristic
1653C4⋊C4C22×#59511yescharacteristic
1654C4⋊C4C22×#59511yescharacteristic
1655C4⋊C4C22×#59511yescharacteristic
1656C4⋊C4C22×#59511yescharacteristic
1657C4⋊C4C22×#59511yescharacteristic
1658C4⋊C4C22×#59511yescharacteristic
1659C4⋊C4C22×#59511yescharacteristic
1660C4⋊C4C22×#59511yescharacteristic
1661C4⋊C4C22×#59511yescharacteristic
1662C4⋊C4C22×#59511yescharacteristic
1663C4⋊C4C22×#59511yescharacteristic
1664C4⋊C4C22×#59511yescharacteristic
1665C4⋊C4C22×#59511yescharacteristic
1666C22⋊C4—171no—
1667C22⋊C4—171no—
1668C22⋊C4—171no—
1669C22⋊C4—171no—
1670C22⋊C4—171no—
1671C22⋊C4—171no—
1672C22⋊C4—171no—
1673C22⋊C4—171no—
1674C22⋊C4—171no—
1675C22⋊C4—171no—
1676C22⋊C4—171no—
1677C22⋊C4—171no—
1678C22⋊C4—171no—
1679C22⋊C4—171no—
1680C22⋊C4—171no—
1681C22⋊C4—171no—
1682C22⋊C4—171no—
1683C22⋊C4—171no—
1684C22⋊C4—171no—
1685C22⋊C4—171no—
1686C22⋊C4—171no—
1687C22⋊C4—171no—
1688C22⋊C4—171no—
1689C22⋊C4—171no—
1690C22⋊C4—171no—
1691C22⋊C4—171no—
1692C22⋊C4—171no—
1693C22⋊C4—171no—
1694C22⋊C4—171no—
1695C22⋊C4—171no—
1696C22⋊C4—342no—
1697C22⋊C4—342no—
1698C22⋊C4—342no—
1699C22⋊C4—681no—
1700C22⋊C4—681no—
1701C22⋊C4—681no—
1702C22⋊C4—681no—
1703C22⋊C4—681no—
1704C22⋊C4—681no—
1705C22⋊C4—681no—
1706C22⋊C4—681no—
1707C22⋊C4—681no—
1708C22⋊C4—681no—
1709C22⋊C4—681no—
1710C22⋊C4—681no—
1711C22⋊C4—681no—
1712C22⋊C4—681no—
1713C22⋊C4—681no—
1714C22⋊C4—681no—
1715C22⋊C4—681no—
1716C22⋊C4C22×#59511yescharacteristic
1717C22⋊C4C22×#59511yescharacteristic
1718C22⋊C4C22×#59511yescharacteristic
1719C22⋊C4C22×#59511yescharacteristic
1720C22⋊C4C22×#59511yescharacteristic
1721C22⋊C4C22×#59511yescharacteristic
1722C22⋊C4C22×#59511yescharacteristic
1723C22⋊C4C22×#59511yescharacteristic
1724C22⋊C4C22×#59511yescharacteristic
1725C22⋊C4C22×#59511yescharacteristic
1726C42—171no—
1727C42—171no—
1728C42—171no—
1729C42—171no—
1730C42—171no—
1731C42—171no—
1732C42—342no—
1733C42—342no—
1734C42—342no—
1735C42—342no—
1736C42—342no—
1737C42—681no—
1738C42—681no—
1739C42—681no—
1740C42—681no—
1741C42—681no—
1742C42—681no—
1743C42—681no—
1744C42—681no—
1745C42—681no—
1746C42—681no—
1747C42—681no—
1748C42—681no—
1749C42—681no—
1750C42—681no—
1751C42—681no—
1752C42—681no—
1753C42—681no—
1754C42—681no—
1755C42—681no—
1756C42C22×#59511yescharacteristic
1757C42C22×#59511yescharacteristic
1758C23—171no—
1759C23—171no—
1760C23—171no—
1761C23—171no—
1762C23—341no—
1763C23—341no—
1764C23—341no—
1765C23—341no—
1766C23—341no—
1767C23—341no—
1768C23—341no—
1769C23—341no—
1770C23—341no—
1771C23—341no—
1772C23—341no—
1773C23—341no—
1774C23—341no—
1775C23—341no—
1776C23—341no—
1777C23—341no—
1778C23—341no—
1779C23—341no—
1780C23C23×#59511yescharacteristic
1781C23C23×#59511yescharacteristic
1782C23C23×#59511yescharacteristic
1783Q8—41no—
1784Q8—681no—
1785Q8—681no—
1786Q8—681no—
1787D4—41no—
1788D4—41no—
1789D4—41no—
1790D4—681no—
1791D4—681no—
1792D4—681no—
1793D4—681no—
1794D4—681no—
1795D4—681no—
1796D4—681no—
1797D4—681no—
1798D4—681no—
1799C2×C4—41no—
1800C2×C4—41no—
1801C2×C4—41no—
1802C2×C4—41no—
1803C2×C4—41no—
1804C2×C4—172no—
1805C2×C4—172no—
1806C2×C4—171no—
1807C2×C4—171no—
1808C2×C4—171no—
1809C2×C4—171no—
1810C2×C4—171no—
1811C2×C4—171no—
1812C2×C4—171no—
1813C2×C4—171no—
1814C2×C4—171no—
1815C2×C4—171no—
1816C2×C4—171no—
1817C2×C4—171no—
1818C2×C4—341no—
1819C2×C4—341no—
1820C2×C4—341no—
1821C2×C4—341no—
1822C2×C4—341no—
1823C2×C4—341no—
1824C2×C4—341no—
1825C2×C4—341no—
1826C2×C4—341no—
1827C2×C4—341no—
1828C2×C4—341no—
1829C2×C4—341no—
1830C2×C4—341no—
1831C2×C4—341no—
1832C2×C4—341no—
1833C2×C4—341no—
1834C2×C4—341no—
1835C2×C4—341no—
1836C2×C4—341no—
1837C2×C4—341no—
1838C2×C4—341no—
1839C2×C4—341no—
1840C2×C4—341no—
1841C2×C4—341no—
1842C2×C4—341no—
1843C2×C4—341no—
1844C2×C4—341no—
1845C2×C4—341no—
1846C2×C4—341no—
1847C2×C4—341no—
1848C2×C4—341no—
1849C2×C4—341no—
1850C2×C4—341no—
1851C2×C4—341no—
1852C2×C4—341no—
1853C2×C4—341no—
1854C2×C4—341no—
1855C2×C4—341no—
1856C2×C4—341no—
1857C2×C4—341no—
1858C2×C4—341no—
1859C2×C4—341no—
1860C2×C4—341no—
1861C2×C4—341no—
1862C2×C4—341no—
1863C2×C4—341no—
1864C2×C4—341no—
1865C2×C4—341no—
1866C2×C4—341no—
1867C2×C4—341no—
1868C2×C4—341no—
1869C2×C4—341no—
1870C2×C4—341no—
1871C2×C4—341no—
1872C2×C4—341no—
1873C2×C4—341no—
1874C2×C4—341no—
1875C2×C4—341no—
1876C2×C4—341no—
1877C2×C4—341no—
1878C2×C4—341no—
1879C2×C4—341no—
1880C2×C4—341no—
1881C2×C4—341no—
1882C2×C4—341no—
1883C2×C4—341no—
1884C2×C4—341no—
1885C2×C4—341no—
1886C2×C4—341no—
1887C2×C4—341no—
1888C2×C4—681no—
1889C2×C4—681no—
1890C2×C4—681no—
1891C2×C4—681no—
1892C2×C4—681no—
1893C2×C4—681no—
1894C2×C4—681no—
1895C2×C4—681no—
1896C2×C4—681no—
1897C2×C4—681no—
1898C2×C4—681no—
1899C2×C4—681no—
1900C2×C4—681no—
1901C2×C4—681no—
1902C2×C4—681no—
1903C2×C4—684no—
1904C2×C4—684no—
1905C2×C4—1362no—
1906C2×C4—1362no—
1907C2×C4C23×#59511yescharacteristic
1908C2×C4C23×#59511yescharacteristic
1909C2×C4C23×#59511yescharacteristic
1910C2×C4C23×#59511yescharacteristic
1911C2×C4C23×#59511yescharacteristic
1912C2×C4C23×#59511yescharacteristic
1913C2×C4C23×#59511yescharacteristic
1914C2×C4C23×#59511yescharacteristic
1915C2×C4C23×#59511yescharacteristic
1916C2×C4C23×#59511yescharacteristic
1917C2×C4C23×#59511yescharacteristic
1918C2×C4C23×#59511yescharacteristic
1919C22—21no—
1920C22—21no—
1921C22—21no—
1922C22—21no—
1923C22—21no—
1924C22—21no—
1925C22—21no—
1926C22—21no—
1927C22—21no—
1928C22—171no—
1929C22—171no—
1930C22—171no—
1931C22—171no—
1932C22—171no—
1933C22—171no—
1934C22—341no—
1935C22—341no—
1936C22—341no—
1937C22—341no—
1938C22—341no—
1939C22—341no—
1940C22—341no—
1941C22—341no—
1942C22—341no—
1943C22—681no—
1944C22—681no—
1945C22—681no—
1946C22—681no—
1947C22—681no—
1948C22—681no—
1949C22—681no—
1950C22—681no—
1951C22—681no—
1952C22—681no—
1953C22—681no—
1954C22—681no—
1955C22C24×#59511yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—21no—
1960C4—21no—
1961C4—21no—
1962C4—21no—
1963C4—21no—
1964C4—21no—
1965C4—21no—
1966C4—21no—
1967C4—21no—
1968C4—342no—
1969C4—342no—
1970C4—341no—
1971C4—341no—
1972C4—341no—
1973C4—341no—
1974C4—341no—
1975C4—341no—
1976C4—341no—
1977C4—341no—
1978C4—341no—
1979C4—341no—
1980C4—341no—
1981C4—341no—
1982C4—681no—
1983C4—681no—
1984C4—681no—
1985C4—681no—
1986C4—681no—
1987C4—681no—
1988C4—681no—
1989C4—681no—
1990C4—681no—
1991C4—681no—
1992C4—681no—
1993C4—681no—
1994C4—681no—
1995C4—681no—
1996C2—41no—
1997C2—41no—
1998C2—41no—
1999C2—171no—
2000C2—171no—
2001C2—171no—
2002C2—171no—
2003C2—681no—
2004C2—681no—
2005C2—681no—
2006C2#1454576411yescharacteristic
2007C2H(5,𝔽2)×#59511yescharacteristic
2008C22−1+4×#59511yescharacteristic
subgroupG/H
center, FrattiniC22C24×#595
commutator, socleC22×C17C24×C4
FittingC17×#539C4
prime radical#121×D17C22
cosocleC22×D17C25
hypercenter#539#595
hypocenterC17#34443
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ #539

Complements

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

NH ≅ G/Ntype
1. #14545331C2semidirect
3. #14545324C2semidirect
4. #14545324C2semidirect
5. #14545322C2semidirect
6. #14545321C2semidirect
7. #14545321C2semidirect
8. #14545321C2semidirect
9. #14545319C2semidirect
10. #14545318C2semidirect
12. #14545307C2semidirect
13. #14545302C2semidirect
14. #14545301C2semidirect
15. #14545293C2semidirect
16. #14545292C2semidirect
17. #14545284C2semidirect
18. #14545283C2semidirect
19. #14545283C2semidirect
20. #14545283C2semidirect
21. #14545280C2semidirect
22. #14545280C2semidirect
23. #14545278C2semidirect
24. #14545277C2semidirect
25. #14545271C2semidirect
26. #14545271C2semidirect
27. #14545267C2semidirect
28. C22⋊Q8×#595C2semidirect
29. #123×#595C2semidirect
30. #14545238C2semidirect
172. #11763408C4semidirect
173. #11763407C4semidirect
174. #11763407C4semidirect
175. #11763406C4semidirect
176. #11763405C4semidirect
177. #11763405C4semidirect
178. #11763404C4semidirect
179. #11763403C4semidirect
180. #11763403C4semidirect
181. #11763402C4semidirect
182. #11763402C4semidirect
183. #11763401C4semidirect
184. #11763401C4semidirect
185. #11763400C4semidirect
186. #11763400C4semidirect
202. C17×#539C4semidirect
290. C17×#126C2×C4semidirect
291. C17×#126C2×C4semidirect
292. C17×#125C2×C4semidirect
293. C17×#125C2×C4semidirect
296. C17×#123C2×C4semidirect
297. C17×#123C2×C4semidirect
298. C17×C22⋊Q8C2×C4semidirect
299. C17×C22⋊Q8C2×C4semidirect
300. C17×C22⋊Q8C2×C4semidirect
302. C4×D4×C17C2×C4semidirect
303. C4×D4×C17C2×C4semidirect
304. C2×C4⋊C4×C17C2×C4semidirect
305. #10587632C2×C4semidirect
306. #10587632C2×C4semidirect
307. #10587632C2×C4semidirect
313. #10587621C2×C4semidirect
314. #10587621C2×C4semidirect
315. D4×Dic17C2×C4semidirect
316. D4×Dic17C2×C4semidirect
320. #10587615C2×C4semidirect
321. #10587615C2×C4semidirect
322. C4×C22⋊D17C2×C4semidirect
323. C4×C22⋊D17C2×C4semidirect
324. C4×C22⋊D17C2×C4semidirect
325. C4×C22⋊D17C2×C4semidirect
326. C2×C4⋊Dic17C2×C4semidirect
327. #10587610C2×C4semidirect
328. #10587610C2×C4semidirect
329. #10587610C2×C4semidirect
330. C2×#63225C2×C4semidirect
331. C2×#63225C2×C4semidirect
332. #10587584C2×C4semidirect
333. #10587584C2×C4semidirect
334. #10587584C2×C4semidirect
335. #10587584C2×C4semidirect
336. #10587584C2×C4semidirect
337. #10587584C2×C4semidirect
338. #10587583C2×C4semidirect
339. #10587583C2×C4semidirect
340. #10587583C2×C4semidirect
341. #10587582C2×C4semidirect
342. #10587582C2×C4semidirect
343. #10587582C2×C4semidirect
344. #10587582C2×C4semidirect
345. #10587582C2×C4semidirect
346. #10587582C2×C4semidirect
352. #10587580C2×C4semidirect
353. #10587580C2×C4semidirect
354. #10587580C2×C4semidirect
355. #10587580C2×C4semidirect
356. #10587579C2×C4semidirect
357. #10587579C2×C4semidirect
358. C4⋊C4×D17C2×C4semidirect
359. C4⋊C4×D17C2×C4semidirect
360. C4⋊C4×D17C2×C4semidirect
361. C4⋊C4×D17C2×C4semidirect
376. #10587576C2×C4semidirect
377. #10587576C2×C4semidirect
378. #10587576C2×C4semidirect
379. #10587576C2×C4semidirect
380. #10587575C2×C4semidirect
381. #10587575C2×C4semidirect
382. #10587575C2×C4semidirect
383. #10587575C2×C4semidirect
384. #10587575C2×C4semidirect
385. #10587575C2×C4semidirect
386. #10587575C2×C4semidirect
387. #10587575C2×C4semidirect
390. #10587572C2×C4semidirect
391. #10587572C2×C4semidirect
398. #10587569C2×C4semidirect
399. #10587569C2×C4semidirect
400. #10587569C2×C4semidirect
401. #10587569C2×C4semidirect
402. #10587567C2×C4semidirect
403. #10587567C2×C4semidirect
404. #10587567C2×C4semidirect
405. #10587567C2×C4semidirect
416. #10587565C2×C4semidirect
417. #10587565C2×C4semidirect
418. #10587565C2×C4semidirect
419. #10587565C2×C4semidirect
420. #10587565C2×C4semidirect
421. #10587565C2×C4semidirect
422. #10587564C2×C4semidirect
423. #10587564C2×C4semidirect
424. #10587564C2×C4semidirect
425. #10587564C2×C4semidirect
426. #10587564C2×C4semidirect
427. #10587564C2×C4semidirect
428. #10587562C2×C4semidirect
429. #10587562C2×C4semidirect
430. C4×D68C2×C4semidirect
431. C4×D68C2×C4semidirect
434. #10587556C2×C4semidirect
435. #10587556C2×C4semidirect
1038. #539#595semidirect
1234. #126C2×#595semidirect
1235. #126C2×#595semidirect
1250. #125C2×#595semidirect
1251. #125C2×#595semidirect
1282. #123C2×#595semidirect
1283. #123C2×#595semidirect
1305. C22⋊Q8C2×#595semidirect
1306. C22⋊Q8C2×#595semidirect
1307. C22⋊Q8C2×#595semidirect
1332. C4×D4C2×#595semidirect
1333. C4×D4C2×#595semidirect
1382. C2×C4⋊C4C2×#595semidirect
1488. C17#34443semidirect

Maximal subgroups

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

subgroupindex
#145453312
#145453252
#145453242
#145453222
#145453212
#145453192
#145453182
#145453112
#145453072
#145453022
#145453012
#145452932
#145452922
#145452842
#145452832
#145452802
#145452782
#145452772
#145452712
#145452672
C22⋊Q8×#5952
#123×#5952
#145452382
D17×#5392
#3444317