Finite Group Databasebeta

← C2×#14542996 #17941530

Subgroups — C2×#14542996 #17941530

Order 4352.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542996C2132yesmaximal, direct product factor
2C2×#11763563C211yesmaximal, characteristic, complemented
3C2×#11763561C211yesmaximal, characteristic, complemented
4C2×#11763557C211yesmaximal, characteristic, complemented
5C2×#11763555C211yesmaximal, characteristic, complemented
6C2×#11763519C211yesmaximal, characteristic, complemented
7C2×#11763515C211yesmaximal, characteristic, complemented
8C2×#11763492C211yesmaximal, characteristic, complemented
9C2×#11763486C211yesmaximal, characteristic, complemented
10C2×#11763484C211yesmaximal, characteristic, complemented
11C2×#11763483C211yesmaximal, characteristic, complemented
12C2×#11763483C211yesmaximal, characteristic, complemented
13C2×#11763460C211yesmaximal, characteristic, complemented
14C2×#11763457C211yesmaximal, characteristic, complemented
15C2×#11763454C211yesmaximal, characteristic, complemented
16C2×#11763451C211yesmaximal, characteristic, complemented
17C2×#11763439C211yesmaximal, characteristic, complemented
18C2×#11763434C211yesmaximal, characteristic, complemented
19C2×#11763431C211yesmaximal, characteristic, complemented
20C2×#11763430C211yesmaximal, characteristic, complemented
21C2×#11763408C211yesmaximal, characteristic, complemented
22C2×#11763407C211yesmaximal, characteristic, complemented
23C2×#11763407C211yesmaximal, characteristic, complemented
24C2×#11763401C211yesmaximal, characteristic, complemented
25C2×#11763400C211yesmaximal, characteristic, complemented
26C2×#11763398C211yesmaximal, characteristic, complemented
27C2×#11763385C211yesmaximal, characteristic, complemented
28C2×#11763381C211yesmaximal, characteristic, complemented
29C2×#11763321C211yesmaximal, characteristic, complemented
30C2×#123×D17C211yesmaximal, characteristic, complemented
31C22×#10587582C211yesmaximal, characteristic, complemented
32C2×C17×#552C211yesmaximal, characteristic, complemented
33C22×#63252C2211yescharacteristic
34C22×#63252C2211yescharacteristic, complemented
35C22×#63254C2211yescharacteristic
36C23×Dic34C2211yescharacteristic, complemented
37C22×D4×D17C2211yescharacteristic
38C23×C4×D17C2211yescharacteristic
39#11763563C22116yescomplemented
40#11763561C22116yescomplemented
41#11763557C22116yescomplemented
42#11763555C22116yescomplemented
43#11763519C22116yescomplemented
44#11763515C22116yescomplemented
45#11763492C22116yescomplemented
46#11763486C22116yescomplemented
47#11763484C22116yescomplemented
48#11763483C22116yescomplemented
49#11763483C22116yescomplemented
50#11763460C22116yescomplemented
51#11763457C22116yescomplemented
52#11763454C22116yescomplemented
53#11763451C22116yescomplemented
54#11763439C22116yescomplemented
55#11763434C22116yescomplemented
56#11763431C22116yescomplemented
57#11763430C22116yescomplemented
58#11763408C22116yescomplemented
59#11763407C22116yescomplemented
60#11763407C22116yescomplemented
61#11763401C22116yescomplemented
62#11763400C22116yescomplemented
63#11763398C22116yescomplemented
64#11763385C22116yescomplemented
65#11763381C22116yescomplemented
66C2×#10587555C2211yescharacteristic, complemented
67C2×#10587555C2211yescharacteristic, complemented
68C2×#10587574C2211yescharacteristic, complemented
69C2×#10587574C2211yescharacteristic, complemented
70C2×#10587574C2211yescharacteristic, complemented
71C2×#10587574C2211yescharacteristic, complemented
72C2×#10587584C2211yescharacteristic, complemented
73C2×#10587584C2211yescharacteristic, complemented
74C2×#10587584C2211yescharacteristic, complemented
75C2×#10587584C2211yescharacteristic, complemented
76C2×#10587584C2211yescharacteristic, complemented
77C2×#10587584C2211yescharacteristic, complemented
78C2×#10587562C2211yescharacteristic, complemented
79C2×#10587562C2211yescharacteristic, complemented
80C2×#10587562C2211yescharacteristic, complemented
81C2×#10587565C2211yescharacteristic, complemented
82C2×#10587556C2211yescharacteristic, complemented
83C2×#10587556C2211yescharacteristic, complemented
84C2×#10587576C2211yescharacteristic, complemented
85C2×#10587576C2211yescharacteristic, complemented
86C2×#10587575C2211yescharacteristic, complemented
87C2×#10587575C2211yescharacteristic, complemented
88C2×#10587575C2211yescharacteristic, complemented
89C2×#10587633C2211yescharacteristic, complemented
90C2×#10587561C2211yescharacteristic
91C2×#10587561C2211yescharacteristic, complemented
92C2×#10587561C2211yescharacteristic, complemented
93C2×#10587561C2211yescharacteristic, complemented
94C2×#10587571C2211yescharacteristic
95C2×#10587571C2211yescharacteristic, complemented
96C2×#10587571C2211yescharacteristic, complemented
97#11763321C22116yescomplemented
98C2×#10587580C2211yescharacteristic
99C2×#10587580C2211yescharacteristic
100C2×#10587580C2211yescharacteristic
101C2×#10587580C2211yescharacteristic
102C2×#10587580C2211yescharacteristic
103C2×#10587580C2211yescharacteristic, complemented
104C2×#10587580C2211yescharacteristic, complemented
105C2×#10587580C2211yescharacteristic, complemented
106C2×#10587580C2211yescharacteristic, complemented
107C2×#10587580C2211yescharacteristic, complemented
108C2×#10587580C2211yescharacteristic, complemented
109C2×#10587580C2211yescharacteristic, complemented
110C2×#10587572C2211yescharacteristic
111C2×#10587572C2211yescharacteristic
112C2×#10587572C2211yescharacteristic
113C2×#10587572C2211yescharacteristic, complemented
114C2×#10587572C2211yescharacteristic, complemented
115C2×#10587572C2211yescharacteristic, complemented
116C2×#10587615C2211yescharacteristic
117C2×#10587615C2211yescharacteristic, complemented
118C2×#10587615C2211yescharacteristic, complemented
119C2×#10587569C2211yescharacteristic
120C2×#10587569C2211yescharacteristic
121C2×#10587569C2211yescharacteristic, complemented
122C2×#10587569C2211yescharacteristic, complemented
123C2×#10587621C2211yescharacteristic
124#123×D17C22116yescomplemented
125C2×#10587583C2211yescharacteristic
126C2×#10587583C2211yescharacteristic
127C2×#10587583C2211yescharacteristic, complemented
128C2×#10587583C2211yescharacteristic, complemented
129C2×#10587583C2211yescharacteristic, complemented
130C2×#10587583C2211yescharacteristic, complemented
131C2×#10587583C2211yescharacteristic, complemented
132C2×#10587610C2211yescharacteristic, complemented
133C2×#10587582C2211yescharacteristic
134C2×#10587582C2211yescharacteristic
135C2×#10587582C2211yescharacteristic
136C2×#10587582C2211yescharacteristic
137C2×#10587582C2211yescharacteristic
138C2×#10587582C2211yescharacteristic
139C2×#10587582C2211yescharacteristic, complemented
140C2×#10587582C2211yescharacteristic, complemented
141C2×#10587582C2211yescharacteristic, complemented
142C2×#10587582C2211yescharacteristic, complemented
143C2×#10587582C2211yescharacteristic, complemented
144C2×#10587582C2211yescharacteristic, complemented
145C2×#10587582C2211yescharacteristic, complemented
146C2×#10587582C2211yescharacteristic, complemented
147C2×#10587582C2211yescharacteristic, complemented
148C2×#10587582C2211yescharacteristic, complemented
149C2×#10587582C2211yescharacteristic, complemented
150C2×#10587582C22116yescomplemented
151C2×#10587564C2211yescharacteristic, complemented
152C2×#10587564C2211yescharacteristic, complemented
153C2×#10587564C2211yescharacteristic, complemented
154C2×#10587564C2211yescharacteristic, complemented
155C2×#10587632C2211yescharacteristic
156C2×#10587632C2211yescharacteristic, complemented
157C2×#10587632C2211yescharacteristic, complemented
158C2×#10587581C2211yescharacteristic
159C2×#10587581C2211yescharacteristic
160C2×#10587581C2211yescharacteristic
161C2×#10587581C2211yescharacteristic, complemented
162C2×#10587581C2211yescharacteristic, complemented
163C2×#10587616C2211yescharacteristic
164C2×#10587616C2211yescharacteristic
165C2×#10587570C2211yescharacteristic
166C2×#10587570C2211yescharacteristic, complemented
167C2×#10587625C2211yescharacteristic
168C2×#10587568C2211yescharacteristic
169C2×#10587568C2211yescharacteristic
170C2×#10587568C2211yescharacteristic
171C2×#10587568C2211yescharacteristic
172C2×C4×Dic34C2211yescharacteristic, complemented
173C2×C4×D68C2211yescharacteristic
174C2×C4×D68C2211yescharacteristic
175C2×C4×D68C2211yescharacteristic
176C2×C4×D68C2211yescharacteristic
177C2×C4×D68C2211yescharacteristic, complemented
178C2×C4×D68C2211yescharacteristic, complemented
179C2×#10587579C2211yescharacteristic
180C2×#10587579C2211yescharacteristic
181C2×#10587579C2211yescharacteristic, complemented
182C2×C4×C22⋊D17C2211yescharacteristic, complemented
183C2×#10587567C2211yescharacteristic
184C2×#10587567C2211yescharacteristic, complemented
185C2×#10587567C2211yescharacteristic, complemented
186C2×#10587578C2211yescharacteristic
187C2×#10587558C2211yescharacteristic
188C2×#10587558C2211yescharacteristic, complemented
189C2×#10587563C2211yescharacteristic, complemented
190C22×#63225C2211yescharacteristic, complemented
191C22×#63225C2211yescharacteristic, complemented
192C2×C4⋊C4×D17C2211yescharacteristic
193C2×C4⋊C4×D17C2211yescharacteristic
194C2×C4⋊C4×D17C2211yescharacteristic, complemented
195C2×C4⋊C4×D17C2211yescharacteristic, complemented
196C22×#63227C2211yescharacteristic
197C22×#63227C2211yescharacteristic
198C22×#63227C2211yescharacteristic
199C2×C22⋊C4×D17C2211yescharacteristic
200C2×C22⋊C4×D17C2211yescharacteristic
201C2×C22⋊C4×D17C2211yescharacteristic
202C2×C22⋊C4×D17C2211yescharacteristic
203C17×#552C22116yescomplemented
204C2×C17×#126C2211yescharacteristic, complemented
205C2×C17×#126C2211yescharacteristic, complemented
206C2×C17×#125C2211yescharacteristic, complemented
207C2×C17×#125C2211yescharacteristic, complemented
208C2×C17×#125C2211yescharacteristic, complemented
209C2×C17×#123C2211yescharacteristic
210C2×C17×#123C2211yescharacteristic
211C2×C17×C22⋊Q8C2211yescharacteristic, complemented
212C2×C17×C22⋊Q8C2211yescharacteristic, complemented
213C2×C4×Q8×C17C2211yescharacteristic, complemented
214C2×C4×D4×C17C2211yescharacteristic
215C2×C17×#117C2211yescharacteristic, complemented
216C2×C17×#117C2211yescharacteristic, complemented
217C2×C17×#117C2211yescharacteristic, complemented
218C22×C4⋊C4×C17C2211yescharacteristic, complemented
219C24×D17C2311yescharacteristic
220C24×D17C2311yescharacteristic
221C22×Q8×C17C2311yescharacteristic
222C22×D4×C17C2311yescharacteristic
223C23×C4×C17C2311yescharacteristic
224C23×C4×C17C2311yescharacteristic
225C23×C4×C17C2311yescharacteristic
226C23×C4×C17C2311yescharacteristic
227C22×C22⋊D17C2311yescharacteristic
228C22×C22⋊D17C2311yescharacteristic
229C22×C22⋊D17C2311yescharacteristic
230C22×C22⋊D17C2311yescharacteristic
231C22×C22⋊D17C2311yescharacteristic
232C22×C22⋊D17C2311yescharacteristic
233C23×Dic17C2311yescharacteristic
234C23×Dic17C2311yescharacteristic
235C23×Dic17C2311yescharacteristic
236C23×Dic17C2311yescharacteristic
237C2×#63254—44no—
238C2×#63254C2318yes—
239C2×D4×D17—44no—
240C2×D4×D17C2318yes—
241C2×#63252—44no—
242C2×#63252—44no—
243C2×#63252C2318yes—
244C2×#63252C2318yescomplemented
245C22×D68C2311yescharacteristic
246C22×D68C2311yescharacteristic
247C22×D68C2311yescharacteristic
248C22×D68C2311yescharacteristic
249C22×D68C2311yescharacteristic
250C22×D68C2311yescharacteristic
251C22×D68C2311yescharacteristic
252C22×D68C2311yescharacteristic
253C22×C4×D17—44no—
254C22×C4×D17C2311yescharacteristic
255C22×C4×D17C2311yescharacteristic
256C22×C4×D17C2311yescharacteristic
257C22×C4×D17C2311yescharacteristic
258C22×C4×D17C2311yescharacteristic
259C22×C4×D17C2311yescharacteristic
260C22×C4×D17C2311yescharacteristic
261C22×C4×D17C2311yescharacteristic
262C22×C4×D17C2311yescharacteristic
263C22×C4×D17C2311yescharacteristic
264C22×C4×D17C2311yescharacteristic
265C22×C4×D17C2311yescharacteristic
266C22×C4×D17C2311yescharacteristic
267C22×C4×D17C2311yescharacteristic
268C22×C4×D17C2311yescharacteristic
269C22×C4×D17C2318yes—
270C22×Dic34—44no—
271C22×Dic34C2311yescharacteristic
272C22×Dic34C2311yescharacteristic
273C22×Dic34C2311yescharacteristic
274C22×Dic34C2311yescharacteristic
275C22×Dic34C2311yescharacteristic
276C22×Dic34C2311yescharacteristic
277C22×Dic34C2311yescharacteristic
278C22×Dic34C2311yescharacteristic
279C22×Dic34C2318yescomplemented
280C17×#126C2318yescomplemented
281C17×#126C2318yescomplemented
282C17×#125C2318yescomplemented
283C17×#125C2318yescomplemented
284C17×#125C2318yescomplemented
285C17×#123C2318yes—
286C17×#123C2318yes—
287C17×C22⋊Q8C2318yescomplemented
288C17×C22⋊Q8C2318yescomplemented
289C4×Q8×C17C2318yescomplemented
290C4×D4×C17C2318yes—
291C17×#117C2318yescomplemented
292C17×#117C2318yescomplemented
293C17×#117C2318yescomplemented
294C2×C4⋊C4×C17C2311yescharacteristic
295C2×C4⋊C4×C17C2311yescharacteristic
296C2×C4⋊C4×C17C2311yescharacteristic
297C2×C4⋊C4×C17C2311yescharacteristic
298C2×C4⋊C4×C17C2311yescharacteristic
299C2×C4⋊C4×C17C2311yescharacteristic
300C2×C4⋊C4×C17C2311yescharacteristic
301C2×C4⋊C4×C17C2311yescharacteristic
302C2×C4⋊C4×C17C2311yescharacteristic
303C2×C4⋊C4×C17C2311yescharacteristic
304C2×C4⋊C4×C17C2311yescharacteristic
305C2×C4⋊C4×C17C2311yescharacteristic
306C2×C4⋊C4×C17C2311yescharacteristic
307C2×C4⋊C4×C17C2311yescharacteristic
308C2×C4⋊C4×C17C2311yescharacteristic
309C2×C4⋊C4×C17C2311yescharacteristic
310C2×C4⋊C4×C17C2318yescomplemented
311C2×C22⋊C4×C17C2311yescharacteristic
312C2×C22⋊C4×C17C2311yescharacteristic
313C2×C22⋊C4×C17C2311yescharacteristic
314C2×C22⋊C4×C17C2311yescharacteristic
315C2×C22⋊C4×C17C2311yescharacteristic
316C2×C22⋊C4×C17C2311yescharacteristic
317C2×C22⋊C4×C17C2311yescharacteristic
318C2×C22⋊C4×C17C2311yescharacteristic
319C2×C42×C17C2311yescharacteristic
320C2×C42×C17C2311yescharacteristic
321C2×C42×C17C2311yescharacteristic
322C2×C42×C17C2311yescharacteristic
323C2×C42×C17C2311yescharacteristic
324C2×C22⋊Dic17C2311yescharacteristic
325C2×C22⋊Dic17C2311yescharacteristic
326C2×C22⋊Dic17C2311yescharacteristic
327C2×C22⋊Dic17C2311yescharacteristic
328#10587633C2318yescomplemented
329#10587632C2318yes—
330#10587632C2318yescomplemented
331#10587632C2318yescomplemented
332#10587625C2318yes—
333#10587621C2318yes—
334#10587616C2318yes—
335#10587616C2318yes—
336#10587615C2318yes—
337#10587615C2318yescomplemented
338#10587615C2318yescomplemented
339C4×C22⋊D17C2318yescomplemented
340C2×#63227C2318yes—
341C2×#63227C2318yes—
342C2×#63227C2318yes—
343C2×#63227C2311yescharacteristic
344C2×#63227C2311yescharacteristic
345C2×#63227C2311yescharacteristic
346C2×#63227C2311yescharacteristic
347C2×#63227C2311yescharacteristic
348C2×#63227C2311yescharacteristic
349C2×#63227C2311yescharacteristic
350C2×#63227C2311yescharacteristic
351C2×#63227C2311yescharacteristic
352C2×#63227C2311yescharacteristic
353C2×#63227C2311yescharacteristic
354C2×#63227C2311yescharacteristic
355C2×#63227C2311yescharacteristic
356C2×#63227C2311yescharacteristic
357C2×#63227C2311yescharacteristic
358C2×#63227C2311yescharacteristic
359C2×#63227C2311yescharacteristic
360C2×#63227C2311yescharacteristic
361C2×#63227C2311yescharacteristic
362C2×#63227C2311yescharacteristic
363C2×#63227C2311yescharacteristic
364C2×#63227C2311yescharacteristic
365C2×#63227C2311yescharacteristic
366C2×#63227C2311yescharacteristic
367C2×#63227C2311yescharacteristic
368C2×#63227C2311yescharacteristic
369C2×#63227C2311yescharacteristic
370C2×#63227C2311yescharacteristic
371C2×#63227C2311yescharacteristic
372C2×#63227C2311yescharacteristic
373C2×#63227C2311yescharacteristic
374C2×#63227C2311yescharacteristic
375C2×#63227C2311yescharacteristic
376C2×#63227C2311yescharacteristic
377C2×C4⋊Dic17C2311yescharacteristic
378C2×C4⋊Dic17C2311yescharacteristic
379C2×C4⋊Dic17C2311yescharacteristic
380C2×C4⋊Dic17C2311yescharacteristic
381C2×C4⋊Dic17C2311yescharacteristic
382C2×C4⋊Dic17C2311yescharacteristic
383C2×C4⋊Dic17C2311yescharacteristic
384C2×C4⋊Dic17C2311yescharacteristic
385C2×C4⋊Dic17C2311yescharacteristic
386C2×C4⋊Dic17C2311yescharacteristic
387C2×C4⋊Dic17C2311yescharacteristic
388C2×C4⋊Dic17C2311yescharacteristic
389#10587610C2318yescomplemented
390C2×#63225C2311yescharacteristic
391C2×#63225C2311yescharacteristic
392C2×#63225C2311yescharacteristic
393C2×#63225C2311yescharacteristic
394C2×#63225C2311yescharacteristic
395C2×#63225C2311yescharacteristic
396C2×#63225C2311yescharacteristic
397C2×#63225C2311yescharacteristic
398C2×#63225C2311yescharacteristic
399C2×#63225C2311yescharacteristic
400C2×#63225C2311yescharacteristic
401C2×#63225C2311yescharacteristic
402C2×#63225C2311yescharacteristic
403C2×#63225C2311yescharacteristic
404C2×#63225C2311yescharacteristic
405C2×#63225C2311yescharacteristic
406C2×#63225C2311yescharacteristic
407C2×#63225C2311yescharacteristic
408C2×#63225C2311yescharacteristic
409C2×#63225C2311yescharacteristic
410C2×#63225C2311yescharacteristic
411C2×#63225C2311yescharacteristic
412C2×#63225C2318yescomplemented
413C2×#63225C2318yescomplemented
414C2×C4×Dic17C2311yescharacteristic
415C2×C4×Dic17C2311yescharacteristic
416C2×C4×Dic17C2311yescharacteristic
417C2×C4×Dic17C2311yescharacteristic
418C2×C4×Dic17C2311yescharacteristic
419#10587584C2318yescomplemented
420#10587584C2318yescomplemented
421#10587584C2318yescomplemented
422#10587584C2318yescomplemented
423#10587584C2318yescomplemented
424#10587584C2318yescomplemented
425#10587583C2318yes—
426#10587583C2318yes—
427#10587583C2318yescomplemented
428#10587583C2318yescomplemented
429#10587583C2318yescomplemented
430#10587583C2318yescomplemented
431#10587583C2318yescomplemented
432#10587582C2318yes—
433#10587582C2318yes—
434#10587582C2318yes—
435#10587582C2318yes—
436#10587582C2318yes—
437#10587582C2318yes—
438#10587582C2318yescomplemented
439#10587582C2318yescomplemented
440#10587582C2318yescomplemented
441#10587582C2318yescomplemented
442#10587582C2318yescomplemented
443#10587582C2318yescomplemented
444#10587582C2318yescomplemented
445#10587582C2318yescomplemented
446#10587582C2318yescomplemented
447#10587582C2318yescomplemented
448#10587582C2318yescomplemented
449#10587581C2318yes—
450#10587581C2318yes—
451#10587581C2318yes—
452#10587581C2318yescomplemented
453#10587581C2318yescomplemented
454#10587580C2318yes—
455#10587580C2318yes—
456#10587580C2318yes—
457#10587580C2318yes—
458#10587580C2318yes—
459#10587580C2318yescomplemented
460#10587580C2318yescomplemented
461#10587580C2318yescomplemented
462#10587580C2318yescomplemented
463#10587580C2318yescomplemented
464#10587580C2318yescomplemented
465#10587580C2318yescomplemented
466#10587579C2318yes—
467#10587579C2318yes—
468#10587579C2318yescomplemented
469#10587578C2318yes—
470C4⋊C4×D17C2318yes—
471C4⋊C4×D17C2318yes—
472C4⋊C4×D17C2318yescomplemented
473C4⋊C4×D17C2318yescomplemented
474#10587576C2318yescomplemented
475#10587576C2318yescomplemented
476#10587575C2318yescomplemented
477#10587575C2318yescomplemented
478#10587575C2318yescomplemented
479#10587574C2318yescomplemented
480#10587574C2318yescomplemented
481#10587574C2318yescomplemented
482#10587574C2318yescomplemented
483#10587572C2318yes—
484#10587572C2318yes—
485#10587572C2318yes—
486#10587572C2318yescomplemented
487#10587572C2318yescomplemented
488#10587572C2318yescomplemented
489#10587571C2318yes—
490#10587571C2318yescomplemented
491#10587571C2318yescomplemented
492#10587570C2318yes—
493#10587570C2318yescomplemented
494#10587569C2318yes—
495#10587569C2318yes—
496#10587569C2318yescomplemented
497#10587569C2318yescomplemented
498#10587568C2318yes—
499#10587568C2318yes—
500#10587568C2318yes—
501#10587568C2318yes—
502#10587567C2318yes—
503#10587567C2318yescomplemented
504#10587567C2318yescomplemented
505C22⋊C4×D17C2318yes—
506C22⋊C4×D17C2318yes—
507C22⋊C4×D17C2318yes—
508C22⋊C4×D17C2318yes—
509#10587565C2318yescomplemented
510#10587564C2318yescomplemented
511#10587564C2318yescomplemented
512#10587564C2318yescomplemented
513#10587564C2318yescomplemented
514#10587563C2318yescomplemented
515#10587562C2318yescomplemented
516#10587562C2318yescomplemented
517#10587562C2318yescomplemented
518#10587561C2318yes—
519#10587561C2318yescomplemented
520#10587561C2318yescomplemented
521#10587561C2318yescomplemented
522C4×D68C2318yes—
523C4×D68C2318yes—
524C4×D68C2318yes—
525C4×D68C2318yes—
526C4×D68C2318yescomplemented
527C4×D68C2318yescomplemented
528#10587558C2318yes—
529#10587558C2318yescomplemented
530#10587556C2318yescomplemented
531#10587556C2318yescomplemented
532#10587555C2318yescomplemented
533#10587555C2318yescomplemented
534C4×Dic34C2318yescomplemented
535C24×C17C2411yescharacteristic
536C24×C17C2411yescharacteristic
537C23×D17—24no—
538C23×D17—24no—
539C23×D17—24no—
540C23×D17—42no—
541C23×D17—42no—
542C23×D17—42no—
543C23×D17C2411yescharacteristic
544C23×D17C2411yescharacteristic
545C23×D17C2411yescharacteristic
546C23×D17C2411yescharacteristic
547C23×D17C2414yes—
548C23×D17C2411yescharacteristic
549C23×D17C2414yes—
550C2×Q8×C17—42no—
551C2×Q8×C17C2414yes—
552C2×D4×C17—24no—
553C2×D4×C17C2414yes—
554C22×C4×C17—24no—
555C22×C4×C17—24no—
556C22×C4×C17—42no—
557C22×C4×C17—42no—
558C22×C4×C17C2414yes—
559C22×C4×C17C2414yes—
560C22×C4×C17C2411yescharacteristic
561C22×C4×C17C2411yescharacteristic
562C22×C4×C17C2411yescharacteristic
563C22×C4×C17C2411yescharacteristic
564C22×C4×C17C2411yescharacteristic
565C22×C4×C17C2411yescharacteristic
566C22×C4×C17C2411yescharacteristic
567C22×C4×C17C2411yescharacteristic
568C22×C4×C17C2411yescharacteristic
569C22×C4×C17C2411yescharacteristic
570C22×C4×C17C2411yescharacteristic
571C22×C4×C17C2411yescharacteristic
572C22×C4×C17C2411yescharacteristic
573C22×C4×C17C2414yes—
574C22×C4×C17C2414yes—
575C2×C22⋊D17—24no—
576C2×C22⋊D17—24no—
577C2×C22⋊D17—24no—
578C2×C22⋊D17—42no—
579C2×C22⋊D17—42no—
580C2×C22⋊D17—42no—
581C2×C22⋊D17C2414yes—
582C2×C22⋊D17C2414yes—
583C2×C22⋊D17C2414yes—
584C2×C22⋊D17C2414yes—
585C2×C22⋊D17C2414yes—
586C2×C22⋊D17C2414yes—
587C22×Dic17—24no—
588C22×Dic17—24no—
589C22×Dic17—42no—
590C22×Dic17—42no—
591C22×Dic17C2411yescharacteristic
592C22×Dic17C2411yescharacteristic
593C22×Dic17C2411yescharacteristic
594C22×Dic17C2411yescharacteristic
595C22×Dic17C2411yescharacteristic
596C22×Dic17C2411yescharacteristic
597C22×Dic17C2411yescharacteristic
598C22×Dic17C2411yescharacteristic
599C22×Dic17C2411yescharacteristic
600C22×Dic17C2414yes—
601C22×Dic17C2414yes—
602C22×Dic17C2411yescharacteristic
603C22×Dic17C2411yescharacteristic
604C22×Dic17C2414yes—
605C22×Dic17C2414yes—
606#63254—416no—
607D4×D17—416no—
608#63252—416no—
609#63252—416no—
610C2×D68—24no—
611C2×D68—24no—
612C2×D68—42no—
613C2×D68—42no—
614C2×D68—42no—
615C2×D68—42no—
616C2×D68—42no—
617C2×D68—42no—
618C2×D68C2414yes—
619C2×D68C2414yes—
620C2×D68C2414yes—
621C2×D68C2414yes—
622C2×D68C2414yes—
623C2×D68C2414yes—
624C2×D68C2414yes—
625C2×D68C2414yes—
626C2×C4×D17—24no—
627C2×C4×D17—42no—
628C2×C4×D17—42no—
629C2×C4×D17—42no—
630C2×C4×D17—42no—
631C2×C4×D17—416no—
632C2×C4×D17—42no—
633C2×C4×D17—42no—
634C2×C4×D17—42no—
635C2×C4×D17—42no—
636C2×C4×D17—42no—
637C2×C4×D17—42no—
638C2×C4×D17—42no—
639C2×C4×D17—42no—
640C2×C4×D17—42no—
641C2×C4×D17—42no—
642C2×C4×D17C2414yes—
643C2×C4×D17C2414yes—
644C2×C4×D17C2414yes—
645C2×C4×D17C2414yes—
646C2×C4×D17C2414yes—
647C2×C4×D17C2414yes—
648C2×C4×D17C2414yes—
649C2×C4×D17C2414yes—
650C2×C4×D17C2414yes—
651C2×C4×D17C2414yes—
652C2×C4×D17C2414yes—
653C2×C4×D17C2414yes—
654C2×C4×D17C2414yes—
655C2×C4×D17C2414yes—
656C2×C4×D17C2414yes—
657C2×Dic34—42no—
658C2×Dic34—42no—
659C2×Dic34—42no—
660C2×Dic34—42no—
661C2×Dic34—416no—
662C2×Dic34—42no—
663C2×Dic34—42no—
664C2×Dic34—42no—
665C2×Dic34—42no—
666C2×Dic34C2414yes—
667C2×Dic34C2414yes—
668C2×Dic34C2414yes—
669C2×Dic34C2414yes—
670C2×Dic34C2414yes—
671C2×Dic34C2414yes—
672C2×Dic34C2414yes—
673C2×Dic34C2414yes—
674C4⋊C4×C17C2414yes—
675C4⋊C4×C17C2414yes—
676C4⋊C4×C17C2414yes—
677C4⋊C4×C17C2414yes—
678C4⋊C4×C17C2414yes—
679C4⋊C4×C17C2414yes—
680C4⋊C4×C17C2414yes—
681C4⋊C4×C17C2414yes—
682C4⋊C4×C17C2414yes—
683C4⋊C4×C17C2414yes—
684C4⋊C4×C17C2414yes—
685C4⋊C4×C17C2414yes—
686C4⋊C4×C17C2414yes—
687C4⋊C4×C17C2414yes—
688C4⋊C4×C17C2414yes—
689C4⋊C4×C17C2414yes—
690C22⋊C4×C17C2414yes—
691C22⋊C4×C17C2414yes—
692C22⋊C4×C17C2414yes—
693C22⋊C4×C17C2414yes—
694C22⋊C4×C17C2414yes—
695C22⋊C4×C17C2414yes—
696C22⋊C4×C17C2414yes—
697C22⋊C4×C17C2414yes—
698C42×C17C2414yes—
699C42×C17C2414yes—
700C42×C17C2414yes—
701C42×C17C2414yes—
702C42×C17C2414yes—
703C22⋊Dic17C2414yes—
704C22⋊Dic17C2414yes—
705C22⋊Dic17C2414yes—
706C22⋊Dic17C2414yes—
707#63227C2414yes—
708#63227C2414yes—
709#63227C2414yes—
710#63227C2414yes—
711#63227C2414yes—
712#63227C2414yes—
713#63227C2414yes—
714#63227C2414yes—
715#63227C2414yes—
716#63227C2414yes—
717#63227C2414yes—
718#63227C2414yes—
719#63227C2414yes—
720#63227C2414yes—
721#63227C2414yes—
722#63227C2414yes—
723#63227C2414yes—
724#63227C2414yes—
725#63227C2414yes—
726#63227C2414yes—
727#63227C2414yes—
728#63227C2414yes—
729#63227C2414yes—
730#63227C2414yes—
731#63227C2414yes—
732#63227C2414yes—
733#63227C2414yes—
734#63227C2414yes—
735#63227C2414yes—
736#63227C2414yes—
737#63227C2414yes—
738#63227C2414yes—
739#63227C2414yes—
740#63227C2414yes—
741C4⋊Dic17C2414yes—
742C4⋊Dic17C2414yes—
743C4⋊Dic17C2414yes—
744C4⋊Dic17C2414yes—
745C4⋊Dic17C2414yes—
746C4⋊Dic17C2414yes—
747C4⋊Dic17C2414yes—
748C4⋊Dic17C2414yes—
749C4⋊Dic17C2414yes—
750C4⋊Dic17C2414yes—
751C4⋊Dic17C2414yes—
752C4⋊Dic17C2414yes—
753#63225C2414yes—
754#63225C2414yes—
755#63225C2414yes—
756#63225C2414yes—
757#63225C2414yes—
758#63225C2414yes—
759#63225C2414yes—
760#63225C2414yes—
761#63225C2414yes—
762#63225C2414yes—
763#63225C2414yes—
764#63225C2414yes—
765#63225C2414yes—
766#63225C2414yes—
767#63225C2414yes—
768#63225C2414yes—
769#63225C2414yes—
770#63225C2414yes—
771#63225C2414yes—
772#63225C2414yes—
773#63225C2414yes—
774#63225C2414yes—
775C4×Dic17C2414yes—
776C4×Dic17C2414yes—
777C4×Dic17C2414yes—
778C4×Dic17C2414yes—
779C4×Dic17C2414yes—
780C2×#3535—171nomaximal, Sylow
781C23×C17—22no—
782C23×C17—22no—
783C23×C17—22no—
784C23×C17—22no—
785C23×C17—22no—
786C23×C17H(5,𝔽2)14yes—
787C23×C17C2512yes—
788C23×C17C2512yes—
789C23×C17C2511yescharacteristic
790C22×D17—22no—
791C22×D17—22no—
792C22×D17—22no—
793C22×D17—22no—
794C22×D17—22no—
795C22×D17—28no—
796C22×D17—22no—
797C22×D17—22no—
798C22×D17—22no—
799C22×D17—22no—
800C22×D17—22no—
801C22×D17—22no—
802C22×D17—22no—
803C22×D17—22no—
804C22×D17—22no—
805C22×D17—28no—
806C22×D17—28no—
807C22×D17—44no—
808C22×D17—44no—
809C22×D17—44no—
810C22×D17—416no—
811C22×D17—88no—
812C22×D172−1+414yes—
813C22×D17C2512yes—
814C22×D17C2512yes—
815C22×D17C2512yes—
816C22×D17C2512yes—
817C22×D17C2512yes—
818Q8×C17—44no—
819D4×C17—28no—
820C2×C4×C17—22no—
821C2×C4×C17—22no—
822C2×C4×C17—28no—
823C2×C4×C17—22no—
824C2×C4×C17—22no—
825C2×C4×C17—22no—
826C2×C4×C17—28no—
827C2×C4×C17—22no—
828C2×C4×C17—22no—
829C2×C4×C17—22no—
830C2×C4×C17—22no—
831C2×C4×C17—22no—
832C2×C4×C17—22no—
833C2×C4×C17—22no—
834C2×C4×C17—22no—
835C2×C4×C17—44no—
836C2×C4×C17—44no—
837C2×C4×C17C2512yes—
838C2×C4×C17C2512yes—
839C2×C4×C17C2512yes—
840C2×C4×C17C2512yes—
841C2×C4×C17C2512yes—
842C2×C4×C17C2512yes—
843C2×C4×C17C2512yes—
844C2×C4×C17C2512yes—
845C2×C4×C17C2512yes—
846C2×C4×C17C2512yes—
847C2×C4×C17C2512yes—
848C2×C4×C17C2512yes—
849C2×C4×C17C2512yes—
850C22⋊D17—28no—
851C22⋊D17—28no—
852C22⋊D17—28no—
853C22⋊D17—44no—
854C22⋊D17—44no—
855C22⋊D17—44no—
856C2×Dic17—22no—
857C2×Dic17—28no—
858C2×Dic17—22no—
859C2×Dic17—22no—
860C2×Dic17—22no—
861C2×Dic17—22no—
862C2×Dic17—22no—
863C2×Dic17—28no—
864C2×Dic17—22no—
865C2×Dic17—22no—
866C2×Dic17—22no—
867C2×Dic17—22no—
868C2×Dic17—22no—
869C2×Dic17—44no—
870C2×Dic17—44no—
871C2×Dic17C2512yes—
872C2×Dic17C2512yes—
873C2×Dic17C2512yes—
874C2×Dic17C2512yes—
875C2×Dic17C2512yes—
876C2×Dic17C2512yes—
877C2×Dic17C2512yes—
878C2×Dic17C2512yes—
879C2×Dic17C2512yes—
880C2×Dic17C2512yes—
881C2×Dic17C2512yes—
882D68—28no—
883D68—28no—
884D68—44no—
885D68—44no—
886D68—44no—
887D68—44no—
888D68—44no—
889D68—44no—
890C4×D17—28no—
891C4×D17—44no—
892C4×D17—44no—
893C4×D17—44no—
894C4×D17—44no—
895C4×D17—44no—
896C4×D17—44no—
897C4×D17—44no—
898C4×D17—44no—
899C4×D17—44no—
900C4×D17—44no—
901C4×D17—44no—
902C4×D17—44no—
903C4×D17—44no—
904C4×D17—44no—
905Dic34—44no—
906Dic34—44no—
907Dic34—44no—
908Dic34—44no—
909Dic34—44no—
910Dic34—44no—
911Dic34—44no—
912Dic34—44no—
913#3535—1732no—
914C2×#563—171no—
915C2×#563—171no—
916C2×#562—171no—
917C2×#562—171no—
918C2×#554—171no—
919C2×#554—171no—
920C2×#552—171no—
921C2×#552D1711yescharacteristic, complemented
922C2×#551—171no—
923C2×#551—171no—
924C2×#551—171no—
925C2×#551—171no—
926C2×#547—171no—
927C2×#547—171no—
928C2×#546—171no—
929C2×#546—171no—
930C2×#544—171no—
931C2×#543—171no—
932C2×#542—171no—
933C2×#542—171no—
934C2×#539—171no—
935C2×#539—171no—
936C2×#539—171no—
937C2×#539—171no—
938C2×#539—171no—
939C2×#538—171no—
940C2×#536—171no—
941C2×#536—171no—
942C2×#525—171no—
943C22×#123—171no—
944C22×C22⋊Q8—171no—
945C22×C17—22no—
946C22×C17—22no—
947C22×C17—28no—
948C22×C17—22no—
949C22×C17—22no—
950C22×C17—22no—
951C22×C17—44no—
952C22×C17C2×H(5,𝔽2)14yes—
953C22×C17C2×H(5,𝔽2)12yes—
954C22×C17C2×2−1+412yes—
955C22×C17#58512yes—
956C22×C17C2611yescharacteristic
957C2×D17—22no—
958C2×D17—22no—
959C2×D17—28no—
960C2×D17—22no—
961C2×D17—22no—
962C2×D17—22no—
963C2×D17—22no—
964C2×D17—22no—
965C2×D17—22no—
966C2×D17—22no—
967C2×D17—22no—
968C2×D17—22no—
969C2×D17—22no—
970C2×D17—22no—
971C2×D17—22no—
972C2×D17—416no—
973C2×D17—44no—
974C2×D17—44no—
975C2×D17—44no—
976C2×D17—44no—
977C2×D17—88no—
978C2×D17C2×2−1+414yes—
979C4×C17—22no—
980C4×C17—22no—
981C4×C17—22no—
982C4×C17—22no—
983C4×C17—22no—
984C4×C17—22no—
985C4×C17—22no—
986C4×C17—22no—
987C4×C17—22no—
988C4×C17—22no—
989C4×C17—22no—
990C4×C17—22no—
991C4×C17—22no—
992Dic17—22no—
993Dic17—22no—
994Dic17—22no—
995Dic17—22no—
996Dic17—22no—
997Dic17—22no—
998Dic17—22no—
999Dic17—22no—
1000Dic17—22no—
1001Dic17—22no—
1002Dic17—22no—
1003C22×#41—171no—
1004C22×#41—171no—
1005C22×#41—171no—
1006C23×Q8—171no—
1007C23×D4—171no—
1008C24×C4—171no—
1009#563—1716no—
1010#563—1716no—
1011#562—1716no—
1012#562—1716no—
1013#554—1716no—
1014#554—1716no—
1015#552—1716no—
1016#552C2×D17116yescomplemented
1017#551—1716no—
1018#551—1716no—
1019#551—1716no—
1020#551—1716no—
1021#547—1716no—
1022#547—1716no—
1023#546—1716no—
1024#546—1716no—
1025#544—1716no—
1026#543—1716no—
1027#542—1716no—
1028#542—1716no—
1029#539—1716no—
1030#539—1716no—
1031#539—1716no—
1032#539—1716no—
1033#539—1716no—
1034#538—1716no—
1035#536—1716no—
1036#536—1716no—
1037C2×C4⋊Q8—171no—
1038C2×C4⋊Q8—171no—
1039C2×C4⋊Q8—171no—
1040C2×C4⋊Q8—171no—
1041C2×C4⋊Q8—171no—
1042C2×C4⋊Q8—171no—
1043C2×#126—171no—
1044C2×#126—171no—
1045C2×#126—171no—
1046C2×#126—171no—
1047C2×#126—171no—
1048C2×#126—171no—
1049C2×#126—171no—
1050C2×#126—171no—
1051C2×#126—171no—
1052C2×#126—171no—
1053C2×#126C2×D1711yescharacteristic, complemented
1054C2×#126C2×D1711yescharacteristic, complemented
1055C2×#125—171no—
1056C2×#125—171no—
1057C2×#125—171no—
1058C2×#125—171no—
1059C2×#125—171no—
1060C2×#125—171no—
1061C2×#125—171no—
1062C2×#125C2×D1711yescharacteristic, complemented
1063C2×#125C2×D1711yescharacteristic, complemented
1064C2×#125C2×D1711yescharacteristic, complemented
1065C2×#124—171no—
1066C2×#124—171no—
1067C2×#124—171no—
1068C2×#124—171no—
1069C2×#124—171no—
1070C2×#124—171no—
1071C2×#124—171no—
1072C2×#124—171no—
1073#525—1716no—
1074C2×#123—171no—
1075C2×#123—171no—
1076C2×#123—171no—
1077C2×#123—171no—
1078C2×#123—1716no—
1079C2×#123—171no—
1080C2×#123—171no—
1081C2×#123—171no—
1082C2×#123—171no—
1083C2×#123—171no—
1084C2×#123—171no—
1085C2×#123—171no—
1086C2×#123—171no—
1087C2×#123—171no—
1088C2×#123—171no—
1089C2×#123—171no—
1090C2×#123—171no—
1091C2×#123—171no—
1092C2×#123—171no—
1093C2×#123—171no—
1094C2×#123—171no—
1095C2×#123—171no—
1096C2×#123—171no—
1097C2×#123—171no—
1098C2×#123—171no—
1099C2×#123—171no—
1100C2×#123—171no—
1101C2×#123C2×D1711yescharacteristic
1102C2×#123C2×D1711yescharacteristic
1103C2×C22⋊Q8—171no—
1104C2×C22⋊Q8—171no—
1105C2×C22⋊Q8—171no—
1106C2×C22⋊Q8—171no—
1107C2×C22⋊Q8—171no—
1108C2×C22⋊Q8—171no—
1109C2×C22⋊Q8—171no—
1110C2×C22⋊Q8—171no—
1111C2×C22⋊Q8—171no—
1112C2×C22⋊Q8—171no—
1113C2×C22⋊Q8—171no—
1114C2×C22⋊Q8—171no—
1115C2×C22⋊Q8—171no—
1116C2×C22⋊Q8—171no—
1117C2×C22⋊Q8—171no—
1118C2×C22⋊Q8—171no—
1119C2×C22⋊Q8—171no—
1120C2×C22⋊Q8—171no—
1121C2×C22⋊Q8—171no—
1122C2×C22⋊Q8—171no—
1123C2×C22⋊Q8—171no—
1124C2×C22⋊Q8—171no—
1125C2×C22⋊Q8—171no—
1126C2×C22⋊Q8—171no—
1127C2×C22⋊Q8—171no—
1128C2×C22⋊Q8—171no—
1129C2×C22⋊Q8—171no—
1130C2×C22⋊Q8—171no—
1131C2×C22⋊Q8—1716no—
1132C2×C22⋊Q8—171no—
1133C2×C22⋊Q8—171no—
1134C2×C22⋊Q8—171no—
1135C2×C22⋊Q8—171no—
1136C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1137C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1138C2×#121—171no—
1139C2×#121—171no—
1140C2×#121—171no—
1141C2×#121—171no—
1142C2×#121—171no—
1143C2×#121—171no—
1144C2×#121—171no—
1145C2×#121—171no—
1146C2×#121—171no—
1147C2×#121—171no—
1148C2×#120—171no—
1149C2×#120—171no—
1150C2×#120—171no—
1151C2×#120—171no—
1152C2×C4×Q8—171no—
1153C2×C4×Q8C2×D1711yescharacteristic, complemented
1154C2×C4×D4—171no—
1155C2×C4×D4—171no—
1156C2×C4×D4—171no—
1157C2×C4×D4—171no—
1158C2×C4×D4—171no—
1159C2×C4×D4—171no—
1160C2×C4×D4—171no—
1161C2×C4×D4—171no—
1162C2×C4×D4—171no—
1163C2×C4×D4—171no—
1164C2×C4×D4—171no—
1165C2×C4×D4—171no—
1166C2×C4×D4—171no—
1167C2×C4×D4C2×D1711yescharacteristic
1168C2×#117—171no—
1169C2×#117—171no—
1170C2×#117—171no—
1171C2×#117—171no—
1172C2×#117C2×D1711yescharacteristic, complemented
1173C2×#117C2×D1711yescharacteristic, complemented
1174C2×#117C2×D1711yescharacteristic, complemented
1175C22×C4⋊C4—171no—
1176C22×C4⋊C4—171no—
1177C22×C4⋊C4—171no—
1178C22×C4⋊C4—171no—
1179C22×C4⋊C4—171no—
1180C22×C4⋊C4—171no—
1181C22×C4⋊C4C2×D1711yescharacteristic, complemented
1182C22×C22⋊C4—171no—
1183C22×C22⋊C4—171no—
1184C22×C22⋊C4—171no—
1185C22×C22⋊C4—171no—
1186C22×C22⋊C4—171no—
1187C22×C22⋊C4—171no—
1188C22×C22⋊C4—171no—
1189C2×C17—24no—
1190C2×C17—42no—
1191C2×C17#353514yescomplemented
1192C2×C17C22×H(5,𝔽2)11yescharacteristic
1193C2×C17C22×2−1+411yescharacteristic
1194C2×C17C2×#58511yescharacteristic
1195D17—24no—
1196D17—42no—
1197D17—42no—
1198D17—42no—
1199D17—42no—
1200C25—171no—
1201C25—171no—
1202C2×#41—178no—
1203C2×#41—178no—
1204C2×#41—178no—
1205C2×#41—684no—
1206C2×#41—684no—
1207C2×#41—684no—
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—178no—
1217C22×Q8—684no—
1218C22×Q8C22×D1711yescharacteristic
1219C22×D4—171no—
1220C22×D4—171no—
1221C22×D4—171no—
1222C22×D4—171no—
1223C22×D4—171no—
1224C22×D4—171no—
1225C22×D4—178no—
1226C22×D4—171no—
1227C22×D4—171no—
1228C22×D4—171no—
1229C22×D4—171no—
1230C22×D4—171no—
1231C22×D4—171no—
1232C22×D4—171no—
1233C22×D4—171no—
1234C22×D4—684no—
1235C22×D4C22×D1711yescharacteristic
1236C23×C4—171no—
1237C23×C4—171no—
1238C23×C4—171no—
1239C23×C4—171no—
1240C23×C4—171no—
1241C23×C4—171no—
1242C23×C4—171no—
1243C23×C4—171no—
1244C23×C4—171no—
1245C23×C4—171no—
1246C23×C4—171no—
1247C23×C4—171no—
1248C23×C4—171no—
1249C23×C4—171no—
1250C23×C4—171no—
1251C23×C4—171no—
1252C23×C4—171no—
1253C23×C4—171no—
1254C23×C4—171no—
1255C23×C4—178no—
1256C23×C4—684no—
1257C23×C4C22×D1711yescharacteristic
1258C23×C4C22×D1711yescharacteristic
1259C23×C4C22×D1711yescharacteristic
1260C23×C4C22×D1711yescharacteristic
1261C4⋊Q8—178no—
1262C4⋊Q8—178no—
1263C4⋊Q8—178no—
1264C4⋊Q8—178no—
1265C4⋊Q8—178no—
1266C4⋊Q8—178no—
1267#126—178no—
1268#126—178no—
1269#126—178no—
1270#126—178no—
1271#126—178no—
1272#126—178no—
1273#126—178no—
1274#126—178no—
1275#126—178no—
1276#126—178no—
1277#126C22×D1718yescomplemented
1278#126C22×D1718yescomplemented
1279#125—178no—
1280#125—178no—
1281#125—178no—
1282#125—178no—
1283#125—178no—
1284#125—178no—
1285#125—178no—
1286#125C22×D1718yescomplemented
1287#125C22×D1718yescomplemented
1288#125C22×D1718yescomplemented
1289#124—178no—
1290#124—178no—
1291#124—178no—
1292#124—178no—
1293#124—178no—
1294#124—178no—
1295#124—178no—
1296#124—178no—
1297#123—178no—
1298#123—178no—
1299#123—178no—
1300#123—178no—
1301#123—178no—
1302#123—178no—
1303#123—178no—
1304#123—178no—
1305#123—178no—
1306#123—178no—
1307#123—178no—
1308#123—178no—
1309#123—178no—
1310#123—178no—
1311#123—178no—
1312#123—178no—
1313#123—178no—
1314#123—178no—
1315#123—178no—
1316#123—178no—
1317#123—178no—
1318#123—178no—
1319#123—178no—
1320#123—178no—
1321#123—178no—
1322#123—178no—
1323#123C22×D1718yes—
1324#123C22×D1718yes—
1325C22⋊Q8—178no—
1326C22⋊Q8—178no—
1327C22⋊Q8—178no—
1328C22⋊Q8—178no—
1329C22⋊Q8—178no—
1330C22⋊Q8—178no—
1331C22⋊Q8—178no—
1332C22⋊Q8—178no—
1333C22⋊Q8—178no—
1334C22⋊Q8—178no—
1335C22⋊Q8—178no—
1336C22⋊Q8—178no—
1337C22⋊Q8—178no—
1338C22⋊Q8—178no—
1339C22⋊Q8—178no—
1340C22⋊Q8—178no—
1341C22⋊Q8—178no—
1342C22⋊Q8—178no—
1343C22⋊Q8—178no—
1344C22⋊Q8—178no—
1345C22⋊Q8—178no—
1346C22⋊Q8—178no—
1347C22⋊Q8—178no—
1348C22⋊Q8—178no—
1349C22⋊Q8—178no—
1350C22⋊Q8—178no—
1351C22⋊Q8—178no—
1352C22⋊Q8—178no—
1353C22⋊Q8—178no—
1354C22⋊Q8—178no—
1355C22⋊Q8—178no—
1356C22⋊Q8—178no—
1357C22⋊Q8C22×D1718yescomplemented
1358C22⋊Q8C22×D1718yescomplemented
1359#121—178no—
1360#121—178no—
1361#121—178no—
1362#121—178no—
1363#121—178no—
1364#121—178no—
1365#121—178no—
1366#121—178no—
1367#121—178no—
1368#121—178no—
1369#120—178no—
1370#120—178no—
1371#120—178no—
1372#120—178no—
1373C4×Q8—178no—
1374C4×Q8C22×D1718yescomplemented
1375C4×D4—178no—
1376C4×D4—178no—
1377C4×D4—178no—
1378C4×D4—178no—
1379C4×D4—178no—
1380C4×D4—178no—
1381C4×D4—178no—
1382C4×D4—178no—
1383C4×D4—178no—
1384C4×D4—178no—
1385C4×D4—178no—
1386C4×D4—178no—
1387C4×D4—178no—
1388C4×D4C22×D1718yes—
1389#117—178no—
1390#117—178no—
1391#117—178no—
1392#117—178no—
1393#117C22×D1718yescomplemented
1394#117C22×D1718yescomplemented
1395#117C22×D1718yescomplemented
1396C2×C4⋊C4—171no—
1397C2×C4⋊C4—171no—
1398C2×C4⋊C4—171no—
1399C2×C4⋊C4—171no—
1400C2×C4⋊C4—171no—
1401C2×C4⋊C4—171no—
1402C2×C4⋊C4—171no—
1403C2×C4⋊C4—171no—
1404C2×C4⋊C4—171no—
1405C2×C4⋊C4—171no—
1406C2×C4⋊C4—171no—
1407C2×C4⋊C4—171no—
1408C2×C4⋊C4—171no—
1409C2×C4⋊C4—171no—
1410C2×C4⋊C4—171no—
1411C2×C4⋊C4—178no—
1412C2×C4⋊C4—178no—
1413C2×C4⋊C4—171no—
1414C2×C4⋊C4—171no—
1415C2×C4⋊C4—171no—
1416C2×C4⋊C4—171no—
1417C2×C4⋊C4—171no—
1418C2×C4⋊C4—171no—
1419C2×C4⋊C4—171no—
1420C2×C4⋊C4—171no—
1421C2×C4⋊C4—171no—
1422C2×C4⋊C4—171no—
1423C2×C4⋊C4—171no—
1424C2×C4⋊C4—171no—
1425C2×C4⋊C4—171no—
1426C2×C4⋊C4—171no—
1427C2×C4⋊C4—171no—
1428C2×C4⋊C4—171no—
1429C2×C4⋊C4—171no—
1430C2×C4⋊C4—171no—
1431C2×C4⋊C4—171no—
1432C2×C4⋊C4—178no—
1433C2×C4⋊C4—178no—
1434C2×C4⋊C4—178no—
1435C2×C4⋊C4—178no—
1436C2×C4⋊C4C22×D1711yescharacteristic
1437C2×C4⋊C4C22×D1711yescharacteristic
1438C2×C4⋊C4C22×D1711yescharacteristic
1439C2×C4⋊C4C22×D1711yescharacteristic
1440C2×C4⋊C4C22×D1711yescharacteristic
1441C2×C4⋊C4C22×D1711yescharacteristic
1442C2×C4⋊C4C22×D1711yescharacteristic
1443C2×C4⋊C4C22×D1711yescharacteristic
1444C2×C4⋊C4C22×D1711yescharacteristic
1445C2×C4⋊C4C22×D1711yescharacteristic
1446C2×C4⋊C4C22×D1711yescharacteristic
1447C2×C4⋊C4C22×D1711yescharacteristic
1448C2×C4⋊C4C22×D1711yescharacteristic
1449C2×C4⋊C4C22×D1711yescharacteristic
1450C2×C4⋊C4C22×D1711yescharacteristic
1451C2×C4⋊C4C22×D1711yescharacteristic
1452C2×C4⋊C4C22×D1718yescomplemented
1453C2×C22⋊C4—171no—
1454C2×C22⋊C4—171no—
1455C2×C22⋊C4—171no—
1456C2×C22⋊C4—171no—
1457C2×C22⋊C4—171no—
1458C2×C22⋊C4—171no—
1459C2×C22⋊C4—171no—
1460C2×C22⋊C4—171no—
1461C2×C22⋊C4—171no—
1462C2×C22⋊C4—171no—
1463C2×C22⋊C4—171no—
1464C2×C22⋊C4—171no—
1465C2×C22⋊C4—171no—
1466C2×C22⋊C4—171no—
1467C2×C22⋊C4—171no—
1468C2×C22⋊C4—171no—
1469C2×C22⋊C4—171no—
1470C2×C22⋊C4—171no—
1471C2×C22⋊C4—171no—
1472C2×C22⋊C4—178no—
1473C2×C22⋊C4—178no—
1474C2×C22⋊C4—171no—
1475C2×C22⋊C4—171no—
1476C2×C22⋊C4—171no—
1477C2×C22⋊C4—178no—
1478C2×C22⋊C4—171no—
1479C2×C22⋊C4—171no—
1480C2×C22⋊C4—171no—
1481C2×C22⋊C4—171no—
1482C2×C22⋊C4—171no—
1483C2×C22⋊C4—171no—
1484C2×C22⋊C4—171no—
1485C2×C22⋊C4—171no—
1486C2×C22⋊C4—171no—
1487C2×C22⋊C4—171no—
1488C2×C22⋊C4—171no—
1489C2×C22⋊C4—171no—
1490C2×C22⋊C4—171no—
1491C2×C22⋊C4—171no—
1492C2×C22⋊C4—171no—
1493C2×C22⋊C4—171no—
1494C2×C22⋊C4—178no—
1495C2×C22⋊C4—178no—
1496C2×C22⋊C4—178no—
1497C2×C22⋊C4—178no—
1498C2×C22⋊C4C22×D1711yescharacteristic
1499C2×C22⋊C4C22×D1711yescharacteristic
1500C2×C22⋊C4C22×D1711yescharacteristic
1501C2×C22⋊C4C22×D1711yescharacteristic
1502C2×C22⋊C4C22×D1711yescharacteristic
1503C2×C22⋊C4C22×D1711yescharacteristic
1504C2×C22⋊C4C22×D1711yescharacteristic
1505C2×C22⋊C4C22×D1711yescharacteristic
1506C2×C42—171no—
1507C2×C42—171no—
1508C2×C42—171no—
1509C2×C42—171no—
1510C2×C42—171no—
1511C2×C42C22×D1711yescharacteristic
1512C2×C42C22×D1711yescharacteristic
1513C2×C42C22×D1711yescharacteristic
1514C2×C42C22×D1711yescharacteristic
1515C2×C42C22×D1711yescharacteristic
1516C17C2×#353511yescharacteristic, complemented, Sylow
1517C24—171no—
1518C24—171no—
1519C24—171no—
1520C24—171no—
1521C24—171no—
1522C24—174no—
1523C24—174no—
1524C24—344no—
1525C24—344no—
1526C24—344no—
1527C24—682no—
1528C24—682no—
1529C24—682no—
1530C24C23×D1711yescharacteristic
1531C24C23×D1711yescharacteristic
1532#41—6816no—
1533#41—6816no—
1534#41—6816no—
1535C2×Q8—42no—
1536C2×Q8—174no—
1537C2×Q8—174no—
1538C2×Q8—174no—
1539C2×Q8—174no—
1540C2×Q8—174no—
1541C2×Q8—174no—
1542C2×Q8—174no—
1543C2×Q8—174no—
1544C2×Q8—682no—
1545C2×Q8—682no—
1546C2×Q8—682no—
1547C2×Q8—682no—
1548C2×Q8—682no—
1549C2×Q8—6816no—
1550C2×Q8—682no—
1551C2×Q8—682no—
1552C2×Q8—682no—
1553C2×Q8C23×D1714yes—
1554C2×D4—24no—
1555C2×D4—174no—
1556C2×D4—174no—
1557C2×D4—174no—
1558C2×D4—174no—
1559C2×D4—174no—
1560C2×D4—174no—
1561C2×D4—174no—
1562C2×D4—174no—
1563C2×D4—174no—
1564C2×D4—174no—
1565C2×D4—174no—
1566C2×D4—174no—
1567C2×D4—174no—
1568C2×D4—174no—
1569C2×D4—344no—
1570C2×D4—344no—
1571C2×D4—344no—
1572C2×D4—344no—
1573C2×D4—344no—
1574C2×D4—682no—
1575C2×D4—682no—
1576C2×D4—682no—
1577C2×D4—682no—
1578C2×D4—682no—
1579C2×D4—682no—
1580C2×D4—682no—
1581C2×D4—682no—
1582C2×D4—682no—
1583C2×D4—6816no—
1584C2×D4C23×D1714yes—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—174no—
1590C22×C4—174no—
1591C22×C4—171no—
1592C22×C4—171no—
1593C22×C4—171no—
1594C22×C4—171no—
1595C22×C4—171no—
1596C22×C4—171no—
1597C22×C4—171no—
1598C22×C4—171no—
1599C22×C4—171no—
1600C22×C4—171no—
1601C22×C4—171no—
1602C22×C4—174no—
1603C22×C4—174no—
1604C22×C4—174no—
1605C22×C4—174no—
1606C22×C4—174no—
1607C22×C4—174no—
1608C22×C4—174no—
1609C22×C4—174no—
1610C22×C4—174no—
1611C22×C4—174no—
1612C22×C4—174no—
1613C22×C4—174no—
1614C22×C4—174no—
1615C22×C4—174no—
1616C22×C4—174no—
1617C22×C4—174no—
1618C22×C4—174no—
1619C22×C4—344no—
1620C22×C4—344no—
1621C22×C4—344no—
1622C22×C4—682no—
1623C22×C4—682no—
1624C22×C4—682no—
1625C22×C4—682no—
1626C22×C4—682no—
1627C22×C4—682no—
1628C22×C4—682no—
1629C22×C4—682no—
1630C22×C4—6816no—
1631C22×C4—682no—
1632C22×C4—682no—
1633C22×C4—682no—
1634C22×C4—682no—
1635C22×C4—682no—
1636C22×C4—682no—
1637C22×C4—682no—
1638C22×C4—682no—
1639C22×C4C23×D1714yes—
1640C22×C4C23×D1714yes—
1641C22×C4C23×D1711yescharacteristic
1642C22×C4C23×D1711yescharacteristic
1643C22×C4C23×D1711yescharacteristic
1644C22×C4C23×D1711yescharacteristic
1645C22×C4C23×D1711yescharacteristic
1646C22×C4C23×D1711yescharacteristic
1647C22×C4C23×D1711yescharacteristic
1648C22×C4C23×D1711yescharacteristic
1649C22×C4C23×D1711yescharacteristic
1650C22×C4C23×D1711yescharacteristic
1651C22×C4C23×D1711yescharacteristic
1652C22×C4C23×D1711yescharacteristic
1653C22×C4C23×D1711yescharacteristic
1654C22×C4C23×D1714yes—
1655C22×C4C23×D1714yes—
1656C4⋊C4—174no—
1657C4⋊C4—174no—
1658C4⋊C4—174no—
1659C4⋊C4—174no—
1660C4⋊C4—174no—
1661C4⋊C4—174no—
1662C4⋊C4—174no—
1663C4⋊C4—174no—
1664C4⋊C4—174no—
1665C4⋊C4—174no—
1666C4⋊C4—174no—
1667C4⋊C4—174no—
1668C4⋊C4—174no—
1669C4⋊C4—174no—
1670C4⋊C4—174no—
1671C4⋊C4—174no—
1672C4⋊C4—174no—
1673C4⋊C4—174no—
1674C4⋊C4—174no—
1675C4⋊C4—174no—
1676C4⋊C4—174no—
1677C4⋊C4—174no—
1678C4⋊C4—174no—
1679C4⋊C4—174no—
1680C4⋊C4—174no—
1681C4⋊C4—174no—
1682C4⋊C4—174no—
1683C4⋊C4—174no—
1684C4⋊C4—174no—
1685C4⋊C4—174no—
1686C4⋊C4—174no—
1687C4⋊C4—174no—
1688C4⋊C4—174no—
1689C4⋊C4—174no—
1690C4⋊C4C23×D1714yes—
1691C4⋊C4C23×D1714yes—
1692C4⋊C4C23×D1714yes—
1693C4⋊C4C23×D1714yes—
1694C4⋊C4C23×D1714yes—
1695C4⋊C4C23×D1714yes—
1696C4⋊C4C23×D1714yes—
1697C4⋊C4C23×D1714yes—
1698C4⋊C4C23×D1714yes—
1699C4⋊C4C23×D1714yes—
1700C4⋊C4C23×D1714yes—
1701C4⋊C4C23×D1714yes—
1702C4⋊C4C23×D1714yes—
1703C4⋊C4C23×D1714yes—
1704C4⋊C4C23×D1714yes—
1705C4⋊C4C23×D1714yes—
1706C22⋊C4—174no—
1707C22⋊C4—174no—
1708C22⋊C4—174no—
1709C22⋊C4—174no—
1710C22⋊C4—174no—
1711C22⋊C4—174no—
1712C22⋊C4—174no—
1713C22⋊C4—174no—
1714C22⋊C4—174no—
1715C22⋊C4—174no—
1716C22⋊C4—174no—
1717C22⋊C4—174no—
1718C22⋊C4—174no—
1719C22⋊C4—174no—
1720C22⋊C4—174no—
1721C22⋊C4—174no—
1722C22⋊C4—174no—
1723C22⋊C4—174no—
1724C22⋊C4—174no—
1725C22⋊C4—174no—
1726C22⋊C4—174no—
1727C22⋊C4—174no—
1728C22⋊C4—174no—
1729C22⋊C4—174no—
1730C22⋊C4—174no—
1731C22⋊C4—174no—
1732C22⋊C4—174no—
1733C22⋊C4—174no—
1734C22⋊C4—174no—
1735C22⋊C4—174no—
1736C22⋊C4—174no—
1737C22⋊C4—174no—
1738C22⋊C4—174no—
1739C22⋊C4—174no—
1740C22⋊C4—174no—
1741C22⋊C4—174no—
1742C22⋊C4—174no—
1743C22⋊C4—174no—
1744C22⋊C4C23×D1714yes—
1745C22⋊C4C23×D1714yes—
1746C22⋊C4C23×D1714yes—
1747C22⋊C4C23×D1714yes—
1748C22⋊C4C23×D1714yes—
1749C22⋊C4C23×D1714yes—
1750C22⋊C4C23×D1714yes—
1751C22⋊C4C23×D1714yes—
1752C42—174no—
1753C42—174no—
1754C42—174no—
1755C42—174no—
1756C42—174no—
1757C42C23×D1714yes—
1758C42C23×D1714yes—
1759C42C23×D1714yes—
1760C42C23×D1714yes—
1761C42C23×D1714yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—174no—
1768C23—172no—
1769C23—172no—
1770C23—172no—
1771C23—172no—
1772C23—172no—
1773C23—348no—
1774C23—348no—
1775C23—342no—
1776C23—342no—
1777C23—342no—
1778C23—342no—
1779C23—348no—
1780C23—342no—
1781C23—342no—
1782C23—342no—
1783C23—342no—
1784C23—342no—
1785C23—342no—
1786C23—342no—
1787C23—342no—
1788C23—342no—
1789C23—342no—
1790C23—684no—
1791C23—684no—
1792C23—684no—
1793C23—6816no—
1794C23—1368no—
1795C23#1058769614yes—
1796C23C24×D1712yes—
1797C23C24×D1712yes—
1798C23C24×D1711yescharacteristic
1799Q8—44no—
1800Q8—684no—
1801Q8—684no—
1802Q8—684no—
1803Q8—684no—
1804Q8—684no—
1805Q8—684no—
1806Q8—684no—
1807Q8—684no—
1808D4—28no—
1809D4—348no—
1810D4—348no—
1811D4—348no—
1812D4—348no—
1813D4—348no—
1814D4—684no—
1815D4—684no—
1816D4—684no—
1817D4—684no—
1818D4—684no—
1819D4—684no—
1820D4—684no—
1821D4—684no—
1822D4—684no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—28no—
1827C2×C4—22no—
1828C2×C4—28no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—172no—
1841C2×C4—172no—
1842C2×C4—172no—
1843C2×C4—172no—
1844C2×C4—172no—
1845C2×C4—172no—
1846C2×C4—172no—
1847C2×C4—172no—
1848C2×C4—172no—
1849C2×C4—172no—
1850C2×C4—172no—
1851C2×C4—348no—
1852C2×C4—348no—
1853C2×C4—342no—
1854C2×C4—342no—
1855C2×C4—342no—
1856C2×C4—342no—
1857C2×C4—348no—
1858C2×C4—342no—
1859C2×C4—342no—
1860C2×C4—342no—
1861C2×C4—342no—
1862C2×C4—342no—
1863C2×C4—342no—
1864C2×C4—342no—
1865C2×C4—684no—
1866C2×C4—684no—
1867C2×C4—684no—
1868C2×C4—684no—
1869C2×C4—684no—
1870C2×C4—684no—
1871C2×C4—684no—
1872C2×C4—684no—
1873C2×C4—684no—
1874C2×C4—684no—
1875C2×C4—684no—
1876C2×C4—684no—
1877C2×C4—684no—
1878C2×C4—684no—
1879C2×C4—684no—
1880C2×C4—684no—
1881C2×C4C24×D1712yes—
1882C2×C4C24×D1712yes—
1883C2×C4C24×D1712yes—
1884C2×C4C24×D1712yes—
1885C2×C4C24×D1712yes—
1886C2×C4C24×D1712yes—
1887C2×C4C24×D1712yes—
1888C2×C4C24×D1712yes—
1889C2×C4C24×D1712yes—
1890C2×C4C24×D1712yes—
1891C2×C4C24×D1712yes—
1892C2×C4C24×D1712yes—
1893C2×C4C24×D1712yes—
1894C22—28no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—44no—
1901C22—174no—
1902C22—348no—
1903C22—342no—
1904C22—342no—
1905C22—342no—
1906C22—342no—
1907C22—342no—
1908C22—342no—
1909C22—342no—
1910C22—342no—
1911C22—342no—
1912C22—342no—
1913C22—342no—
1914C22—342no—
1915C22—342no—
1916C22—342no—
1917C22—6816no—
1918C22—684no—
1919C22—684no—
1920C22—684no—
1921C22—684no—
1922C22—1368no—
1923C22C2×#1058769614yes—
1924C22C2×#1058769612yes—
1925C222−1+4×D1712yes—
1926C22#1176364512yes—
1927C22C25×D1711yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—22no—
1941C4—342no—
1942C4—342no—
1943C4—342no—
1944C4—342no—
1945C4—342no—
1946C4—342no—
1947C4—342no—
1948C4—342no—
1949C4—342no—
1950C4—342no—
1951C4—342no—
1952C2—24no—
1953C2—42no—
1954C2—344no—
1955C2—682no—
1956C2—682no—
1957C2—682no—
1958C2—682no—
1959C2#1454299614yesdirect product factor
1960C2C22×#1058769611yescharacteristic
1961C2C2×2−1+4×D1711yescharacteristic
1962C2C2×#1176364511yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#552C2
socleC23×C17C25
hypercenterC2×#552D17
hypocenterC17C2×#3535
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. #14542996C2direct (N × H)
2. C2×#11763563C2semidirect
3. C2×#11763561C2semidirect
4. C2×#11763557C2semidirect
5. C2×#11763555C2semidirect
6. C2×#11763519C2semidirect
7. C2×#11763515C2semidirect
8. C2×#11763492C2semidirect
9. C2×#11763486C2semidirect
10. C2×#11763484C2semidirect
11. C2×#11763483C2semidirect
12. C2×#11763483C2semidirect
13. C2×#11763460C2semidirect
14. C2×#11763457C2semidirect
15. C2×#11763454C2semidirect
16. C2×#11763451C2semidirect
17. C2×#11763439C2semidirect
18. C2×#11763434C2semidirect
19. C2×#11763431C2semidirect
20. C2×#11763430C2semidirect
21. C2×#11763408C2semidirect
22. C2×#11763407C2semidirect
23. C2×#11763407C2semidirect
24. C2×#11763401C2semidirect
25. C2×#11763400C2semidirect
26. C2×#11763398C2semidirect
27. C2×#11763385C2semidirect
28. C2×#11763381C2semidirect
29. C2×#11763321C2semidirect
30. C2×#123×D17C2semidirect
31. C22×#10587582C2semidirect
32. C2×C17×#552C2semidirect
34. C22×#63252C22semidirect
36. C23×Dic34C22semidirect
39. #11763563C22semidirect
40. #11763561C22semidirect
41. #11763557C22semidirect
42. #11763555C22semidirect
43. #11763519C22semidirect
44. #11763515C22semidirect
45. #11763492C22semidirect
46. #11763486C22semidirect
47. #11763484C22semidirect
48. #11763483C22semidirect
49. #11763483C22semidirect
50. #11763460C22semidirect
51. #11763457C22semidirect
52. #11763454C22semidirect
53. #11763451C22semidirect
54. #11763439C22semidirect
55. #11763434C22semidirect
56. #11763431C22semidirect
57. #11763430C22semidirect
58. #11763408C22semidirect
59. #11763407C22semidirect
60. #11763407C22semidirect
61. #11763401C22semidirect
62. #11763400C22semidirect
63. #11763398C22semidirect
64. #11763385C22semidirect
65. #11763381C22semidirect
66. C2×#10587555C22semidirect
67. C2×#10587555C22semidirect
68. C2×#10587574C22semidirect
69. C2×#10587574C22semidirect
70. C2×#10587574C22semidirect
71. C2×#10587574C22semidirect
72. C2×#10587584C22semidirect
73. C2×#10587584C22semidirect
74. C2×#10587584C22semidirect
75. C2×#10587584C22semidirect
76. C2×#10587584C22semidirect
77. C2×#10587584C22semidirect
78. C2×#10587562C22semidirect
79. C2×#10587562C22semidirect
80. C2×#10587562C22semidirect
81. C2×#10587565C22semidirect
82. C2×#10587556C22semidirect
83. C2×#10587556C22semidirect
84. C2×#10587576C22semidirect
85. C2×#10587576C22semidirect
86. C2×#10587575C22semidirect
87. C2×#10587575C22semidirect
88. C2×#10587575C22semidirect
89. C2×#10587633C22semidirect
91. C2×#10587561C22semidirect
92. C2×#10587561C22semidirect
93. C2×#10587561C22semidirect
95. C2×#10587571C22semidirect
96. C2×#10587571C22semidirect
97. #11763321C22semidirect
103. C2×#10587580C22semidirect
104. C2×#10587580C22semidirect
105. C2×#10587580C22semidirect
106. C2×#10587580C22semidirect
107. C2×#10587580C22semidirect
108. C2×#10587580C22semidirect
109. C2×#10587580C22semidirect
113. C2×#10587572C22semidirect
114. C2×#10587572C22semidirect
115. C2×#10587572C22semidirect
117. C2×#10587615C22semidirect
118. C2×#10587615C22semidirect
121. C2×#10587569C22semidirect
122. C2×#10587569C22semidirect
124. #123×D17C22semidirect
127. C2×#10587583C22semidirect
128. C2×#10587583C22semidirect
129. C2×#10587583C22semidirect
130. C2×#10587583C22semidirect
131. C2×#10587583C22semidirect
132. C2×#10587610C22semidirect
139. C2×#10587582C22semidirect
140. C2×#10587582C22semidirect
141. C2×#10587582C22semidirect
142. C2×#10587582C22semidirect
143. C2×#10587582C22semidirect
144. C2×#10587582C22semidirect
145. C2×#10587582C22semidirect
146. C2×#10587582C22semidirect
147. C2×#10587582C22semidirect
148. C2×#10587582C22semidirect
149. C2×#10587582C22semidirect
150. C2×#10587582C22semidirect
151. C2×#10587564C22semidirect
152. C2×#10587564C22semidirect
153. C2×#10587564C22semidirect
154. C2×#10587564C22semidirect
156. C2×#10587632C22semidirect
157. C2×#10587632C22semidirect
161. C2×#10587581C22semidirect
162. C2×#10587581C22semidirect
166. C2×#10587570C22semidirect
172. C2×C4×Dic34C22semidirect
177. C2×C4×D68C22semidirect
178. C2×C4×D68C22semidirect
181. C2×#10587579C22semidirect
182. C2×C4×C22⋊D17C22semidirect
184. C2×#10587567C22semidirect
185. C2×#10587567C22semidirect
188. C2×#10587558C22semidirect
189. C2×#10587563C22semidirect
190. C22×#63225C22semidirect
191. C22×#63225C22semidirect
194. C2×C4⋊C4×D17C22semidirect
195. C2×C4⋊C4×D17C22semidirect
203. C17×#552C22semidirect
204. C2×C17×#126C22semidirect
205. C2×C17×#126C22semidirect
206. C2×C17×#125C22semidirect
207. C2×C17×#125C22semidirect
208. C2×C17×#125C22semidirect
211. C2×C17×C22⋊Q8C22semidirect
212. C2×C17×C22⋊Q8C22semidirect
213. C2×C4×Q8×C17C22semidirect
215. C2×C17×#117C22semidirect
216. C2×C17×#117C22semidirect
217. C2×C17×#117C22semidirect
218. C22×C4⋊C4×C17C22semidirect
244. C2×#63252C23semidirect
279. C22×Dic34C23semidirect
280. C17×#126C23semidirect
281. C17×#126C23semidirect
282. C17×#125C23semidirect
283. C17×#125C23semidirect
284. C17×#125C23semidirect
287. C17×C22⋊Q8C23semidirect
288. C17×C22⋊Q8C23semidirect
289. C4×Q8×C17C23semidirect
291. C17×#117C23semidirect
292. C17×#117C23semidirect
293. C17×#117C23semidirect
310. C2×C4⋊C4×C17C23semidirect
328. #10587633C23semidirect
330. #10587632C23semidirect
331. #10587632C23semidirect
337. #10587615C23semidirect
338. #10587615C23semidirect
339. C4×C22⋊D17C23semidirect
389. #10587610C23semidirect
412. C2×#63225C23semidirect
413. C2×#63225C23semidirect
419. #10587584C23semidirect
420. #10587584C23semidirect
421. #10587584C23semidirect
422. #10587584C23semidirect
423. #10587584C23semidirect
424. #10587584C23semidirect
427. #10587583C23semidirect
428. #10587583C23semidirect
429. #10587583C23semidirect
430. #10587583C23semidirect
431. #10587583C23semidirect
438. #10587582C23semidirect
439. #10587582C23semidirect
440. #10587582C23semidirect
441. #10587582C23semidirect
442. #10587582C23semidirect
443. #10587582C23semidirect
444. #10587582C23semidirect
445. #10587582C23semidirect
446. #10587582C23semidirect
447. #10587582C23semidirect
448. #10587582C23semidirect
452. #10587581C23semidirect
453. #10587581C23semidirect
459. #10587580C23semidirect
460. #10587580C23semidirect
461. #10587580C23semidirect
462. #10587580C23semidirect
463. #10587580C23semidirect
464. #10587580C23semidirect
465. #10587580C23semidirect
468. #10587579C23semidirect
472. C4⋊C4×D17C23semidirect
473. C4⋊C4×D17C23semidirect
474. #10587576C23semidirect
475. #10587576C23semidirect
476. #10587575C23semidirect
477. #10587575C23semidirect
478. #10587575C23semidirect
479. #10587574C23semidirect
480. #10587574C23semidirect
481. #10587574C23semidirect
482. #10587574C23semidirect
486. #10587572C23semidirect
487. #10587572C23semidirect
488. #10587572C23semidirect
490. #10587571C23semidirect
491. #10587571C23semidirect
493. #10587570C23semidirect
496. #10587569C23semidirect
497. #10587569C23semidirect
503. #10587567C23semidirect
504. #10587567C23semidirect
509. #10587565C23semidirect
510. #10587564C23semidirect
511. #10587564C23semidirect
512. #10587564C23semidirect
513. #10587564C23semidirect
514. #10587563C23semidirect
515. #10587562C23semidirect
516. #10587562C23semidirect
517. #10587562C23semidirect
519. #10587561C23semidirect
520. #10587561C23semidirect
521. #10587561C23semidirect
526. C4×D68C23semidirect
527. C4×D68C23semidirect
529. #10587558C23semidirect
530. #10587556C23semidirect
531. #10587556C23semidirect
532. #10587555C23semidirect
533. #10587555C23semidirect
534. C4×Dic34C23semidirect
921. C2×#552D17semidirect
1016. #552C2×D17semidirect
1053. C2×#126C2×D17semidirect
1054. C2×#126C2×D17semidirect
1062. C2×#125C2×D17semidirect
1063. C2×#125C2×D17semidirect
1064. C2×#125C2×D17semidirect
1136. C2×C22⋊Q8C2×D17semidirect
1137. C2×C22⋊Q8C2×D17semidirect
1153. C2×C4×Q8C2×D17semidirect
1172. C2×#117C2×D17semidirect
1173. C2×#117C2×D17semidirect
1174. C2×#117C2×D17semidirect
1181. C22×C4⋊C4C2×D17semidirect
1191. C2×C17#3535semidirect
1277. #126C22×D17semidirect
1278. #126C22×D17semidirect
1286. #125C22×D17semidirect
1287. #125C22×D17semidirect
1288. #125C22×D17semidirect
1357. C22⋊Q8C22×D17semidirect
1358. C22⋊Q8C22×D17semidirect
1374. C4×Q8C22×D17semidirect
1393. #117C22×D17semidirect
1394. #117C22×D17semidirect
1395. #117C22×D17semidirect
1452. C2×C4⋊C4C22×D17semidirect
1516. C17C2×#3535semidirect
1959. C2#14542996direct (N × H)

Maximal subgroups

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

subgroupindex
#145429962
C2×#117635632
C2×#117635612
C2×#117635572
C2×#117635552
C2×#117635192
C2×#117635152
C2×#117634922
C2×#117634862
C2×#117634842
C2×#117634832
C2×#117634602
C2×#117634572
C2×#117634542
C2×#117634512
C2×#117634392
C2×#117634342
C2×#117634312
C2×#117634302
C2×#117634082
C2×#117634072
C2×#117634012
C2×#117634002
C2×#117633982
C2×#117633852
C2×#117633812
C2×#117633212
C2×#123×D172
C22×#105875822
C2×C17×#5522
C2×#353517