Finite Group Databasebeta

← C2×#14543066 #17941476

Subgroups — C2×#14543066 #17941476

Order 4352.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543066C2132yesmaximal, direct product factor
2C2×#11763562C211yesmaximal, characteristic, complemented
3C2×#11763560C211yesmaximal, characteristic, complemented
4C2×#11763554C211yesmaximal, characteristic, complemented
5C2×#11763528C211yesmaximal, characteristic, complemented
6C2×#11763517C211yesmaximal, characteristic, complemented
7C2×#11763515C211yesmaximal, characteristic, complemented
8C2×#11763513C211yesmaximal, characteristic, complemented
9C2×#11763506C211yesmaximal, characteristic, complemented
10C2×#11763504C211yesmaximal, characteristic, complemented
11C2×#11763504C211yesmaximal, characteristic, complemented
12C2×#11763496C211yesmaximal, characteristic, complemented
13C2×#11763472C211yesmaximal, characteristic, complemented
14C2×#11763467C211yesmaximal, characteristic, complemented
15C2×#11763465C211yesmaximal, characteristic, complemented
16C2×#11763459C211yesmaximal, characteristic, complemented
17C2×#11763432C211yesmaximal, characteristic, complemented
18C2×#11763429C211yesmaximal, characteristic, complemented
19C2×#11763423C211yesmaximal, characteristic, complemented
20C2×#11763418C211yesmaximal, characteristic, complemented
21C2×#11763405C211yesmaximal, characteristic, complemented
22C2×#11763403C211yesmaximal, characteristic, complemented
23C2×#11763395C211yesmaximal, characteristic, complemented
24C2×#11763393C211yesmaximal, characteristic, complemented
25C2×#11763391C211yesmaximal, characteristic, complemented
26C2×#11763391C211yesmaximal, characteristic, complemented
27C2×#11763386C211yesmaximal, characteristic, complemented
28C2×#11763381C211yesmaximal, characteristic, complemented
29C2×#11763319C211yesmaximal, characteristic, complemented
30C2×#11763317C211yesmaximal, characteristic, complemented
31C2×C22⋊Q8×D17C211yesmaximal, characteristic, complemented
32C2×C17×#562C211yesmaximal, characteristic, complemented
33C22×#63254C2211yescharacteristic
34C22×#63254C2211yescharacteristic
35C22×#63254C2211yescharacteristic, complemented
36C23×Dic34C2211yescharacteristic, complemented
37C22×Q8×D17C2211yescharacteristic
38C23×C4×D17C2211yescharacteristic
39#11763562C22116yescomplemented
40#11763560C22116yescomplemented
41#11763554C22116yescomplemented
42#11763528C22116yescomplemented
43#11763517C22116yescomplemented
44#11763515C22116yescomplemented
45#11763513C22116yescomplemented
46#11763506C22116yescomplemented
47#11763504C22116yescomplemented
48#11763504C22116yescomplemented
49#11763496C22116yescomplemented
50#11763472C22116yescomplemented
51#11763467C22116yescomplemented
52#11763465C22116yescomplemented
53#11763459C22116yescomplemented
54#11763432C22116yescomplemented
55#11763429C22116yescomplemented
56#11763423C22116yescomplemented
57#11763418C22116yescomplemented
58#11763405C22116yescomplemented
59#11763403C22116yescomplemented
60#11763395C22116yescomplemented
61#11763393C22116yescomplemented
62#11763391C22116yescomplemented
63#11763391C22116yescomplemented
64#11763386C22116yescomplemented
65#11763381C22116yescomplemented
66C2×#10587574C2211yescharacteristic, complemented
67C2×#10587574C2211yescharacteristic, complemented
68C2×#10587574C2211yescharacteristic, complemented
69C2×#10587574C2211yescharacteristic, complemented
70C2×#10587630C2211yescharacteristic, complemented
71C2×#10587630C2211yescharacteristic, complemented
72C2×#10587584C2211yescharacteristic
73C2×#10587584C2211yescharacteristic
74C2×#10587584C2211yescharacteristic
75C2×#10587584C2211yescharacteristic, complemented
76C2×#10587584C2211yescharacteristic, complemented
77C2×#10587562C2211yescharacteristic
78C2×#10587565C2211yescharacteristic
79C2×#10587565C2211yescharacteristic
80C2×#10587565C2211yescharacteristic
81C2×#10587565C2211yescharacteristic
82C2×#10587565C2211yescharacteristic, complemented
83C2×#10587565C2211yescharacteristic, complemented
84C2×#10587565C2211yescharacteristic, complemented
85C2×#10587565C2211yescharacteristic, complemented
86C2×#10587576C2211yescharacteristic, complemented
87C2×#10587576C2211yescharacteristic, complemented
88C2×#10587575C2211yescharacteristic, complemented
89C2×#10587575C2211yescharacteristic, complemented
90C2×#10587575C2211yescharacteristic, complemented
91C2×#10587575C2211yescharacteristic, complemented
92C2×#10587575C2211yescharacteristic, complemented
93C2×#10587575C2211yescharacteristic, complemented
94C2×#10587633C2211yescharacteristic
95C2×#10587622C2211yescharacteristic
96C2×#10587622C2211yescharacteristic
97C2×#10587571C2211yescharacteristic
98C2×#10587571C2211yescharacteristic
99C2×#10587571C2211yescharacteristic
100C2×#10587571C2211yescharacteristic
101C2×#10587571C2211yescharacteristic, complemented
102C2×#10587571C2211yescharacteristic, complemented
103#11763319C22116yescomplemented
104#11763317C22116yescomplemented
105C2×#10587580C2211yescharacteristic
106C2×#10587572C2211yescharacteristic
107C2×#10587615C2211yescharacteristic
108C2×#10587615C2211yescharacteristic
109C2×#10587615C2211yescharacteristic
110C2×#10587569C2211yescharacteristic
111C2×#10587569C2211yescharacteristic
112C2×#10587569C2211yescharacteristic
113C2×#10587569C2211yescharacteristic, complemented
114C2×#10587569C2211yescharacteristic, complemented
115C2×#10587621C2211yescharacteristic
116C2×#10587621C2211yescharacteristic
117C2×#10587621C2211yescharacteristic, complemented
118C2×#10587621C2211yescharacteristic, complemented
119C2×#10587583C2211yescharacteristic
120C2×#10587583C2211yescharacteristic
121C2×#10587583C2211yescharacteristic
122C2×#10587583C2211yescharacteristic, complemented
123C2×#10587610C2211yescharacteristic
124C2×#10587610C2211yescharacteristic
125C2×#10587582C2211yescharacteristic
126C2×#10587582C2211yescharacteristic
127C2×#10587582C2211yescharacteristic
128C2×#10587582C2211yescharacteristic
129C2×#10587582C2211yescharacteristic
130C2×#10587582C2211yescharacteristic
131C2×#10587582C2211yescharacteristic, complemented
132C2×#10587582C2211yescharacteristic, complemented
133C2×#10587564C2211yescharacteristic
134C2×#10587564C2211yescharacteristic
135C2×#10587564C2211yescharacteristic, complemented
136C2×#10587564C2211yescharacteristic, complemented
137C2×#10587564C2211yescharacteristic, complemented
138C2×#10587564C2211yescharacteristic, complemented
139C2×#10587564C2211yescharacteristic, complemented
140C2×#10587564C2211yescharacteristic, complemented
141C2×#10587564C2211yescharacteristic, complemented
142C2×#10587564C2211yescharacteristic, complemented
143C2×#10587632C2211yescharacteristic
144C2×#10587632C2211yescharacteristic
145C2×#10587632C2211yescharacteristic, complemented
146C22⋊Q8×D17C22116yescomplemented
147C2×#10587616C2211yescharacteristic
148C2×#10587570C2211yescharacteristic
149C2×#10587570C2211yescharacteristic
150C2×#10587570C2211yescharacteristic
151C2×#10587570C2211yescharacteristic
152C2×#10587570C2211yescharacteristic
153C2×#10587625C2211yescharacteristic
154C2×#10587625C2211yescharacteristic
155C2×#10587625C2211yescharacteristic
156C2×#10587625C2211yescharacteristic, complemented
157C2×#10587625C2211yescharacteristic, complemented
158C2×#10587624C2211yescharacteristic
159C2×#10587624C2211yescharacteristic
160C2×#10587624C2211yescharacteristic
161C2×#10587624C2211yescharacteristic
162C2×#10587568C2211yescharacteristic
163C2×#10587623C2211yescharacteristic
164C2×#10587623C2211yescharacteristic
165C2×#10587623C2211yescharacteristic
166C2×Q8×Dic17C2211yescharacteristic, complemented
167C2×C4×Dic34C2211yescharacteristic, complemented
168C2×C4×Dic34C2211yescharacteristic, complemented
169C2×#10587573C2211yescharacteristic, complemented
170C2×#10587573C2211yescharacteristic, complemented
171C2×C4×D68C2211yescharacteristic
172C2×D4×Dic17C2211yescharacteristic
173C2×D4×Dic17C2211yescharacteristic
174C2×D4×Dic17C2211yescharacteristic, complemented
175C2×#10587579C2211yescharacteristic
176C2×#10587579C2211yescharacteristic
177C2×#10587579C2211yescharacteristic
178C2×C4×C22⋊D17C2211yescharacteristic
179C2×C4×C22⋊D17C2211yescharacteristic
180C2×C4×C22⋊D17C2211yescharacteristic
181C2×C4×C22⋊D17C2211yescharacteristic, complemented
182C2×C4×C22⋊D17C2211yescharacteristic, complemented
183C2×#10587567C2211yescharacteristic
184C2×#10587567C2211yescharacteristic
185C2×#10587567C2211yescharacteristic
186C2×#10587567C2211yescharacteristic
187C2×#10587567C2211yescharacteristic
188C2×#10587567C2211yescharacteristic
189C2×#10587567C2211yescharacteristic
190C2×#10587612C2211yescharacteristic, complemented
191C2×#10587578C2211yescharacteristic
192C2×#10587563C2211yescharacteristic
193C2×#10587563C2211yescharacteristic, complemented
194C2×#10587563C2211yescharacteristic, complemented
195C22×C4⋊Dic17C2211yescharacteristic, complemented
196C22×#63225C2211yescharacteristic, complemented
197C2×C4⋊C4×D17C2211yescharacteristic
198C2×C4⋊C4×D17C2211yescharacteristic
199C2×C4⋊C4×D17C2211yescharacteristic
200C2×C4⋊C4×D17C2211yescharacteristic, complemented
201C2×C22⋊C4×D17C2211yescharacteristic
202C2×C22⋊C4×D17C2211yescharacteristic
203C17×#562C22116yescomplemented
204C2×C17×#125C2211yescharacteristic, complemented
205C2×C17×#124C2211yescharacteristic
206C2×C17×#124C2211yescharacteristic, complemented
207C2×C17×#123C2211yescharacteristic
208C2×C17×#123C2211yescharacteristic
209C2×C17×#123C2211yescharacteristic, complemented
210C2×C17×#123C2211yescharacteristic, complemented
211C2×C17×C22⋊Q8C2211yescharacteristic
212C2×C17×C22⋊Q8C2211yescharacteristic, complemented
213C2×C17×C22⋊Q8C2211yescharacteristic, complemented
214C2×C17×C22⋊Q8C2211yescharacteristic, complemented
215C2×C17×#121C2211yescharacteristic
216C2×C17×#121C2211yescharacteristic
217C2×C17×#121C2211yescharacteristic
218C2×C17×#121C2211yescharacteristic, complemented
219C24×D17C2311yescharacteristic
220C22×Q8×C17C2311yescharacteristic
221C22×Q8×C17C2311yescharacteristic
222C22×D4×C17C2311yescharacteristic
223C22×D4×C17C2311yescharacteristic
224C22×D4×C17C2311yescharacteristic
225C22×D4×C17C2311yescharacteristic
226C22×D4×C17C2311yescharacteristic
227C22×D4×C17C2311yescharacteristic
228C23×C4×C17C2311yescharacteristic
229C23×C4×C17C2311yescharacteristic
230C23×C4×C17C2311yescharacteristic
231C23×C4×C17C2311yescharacteristic
232C22×C22⋊D17C2311yescharacteristic
233C22×C22⋊D17C2311yescharacteristic
234C22×C22⋊D17C2311yescharacteristic
235C22×C22⋊D17C2311yescharacteristic
236C22×C22⋊D17C2311yescharacteristic
237C22×C22⋊D17C2311yescharacteristic
238C22×C22⋊D17C2311yescharacteristic
239C22×C22⋊D17C2311yescharacteristic
240C22×C22⋊D17C2311yescharacteristic
241C22×C22⋊D17C2311yescharacteristic
242C23×Dic17C2311yescharacteristic
243C23×Dic17C2311yescharacteristic
244C23×Dic17C2311yescharacteristic
245C23×Dic17C2311yescharacteristic
246C23×Dic17C2311yescharacteristic
247C23×Dic17C2311yescharacteristic
248C23×Dic17C2311yescharacteristic
249C2×Q8×D17—44no—
250C2×Q8×D17C2318yes—
251C2×#63254—44no—
252C2×#63254—44no—
253C2×#63254—44no—
254C2×#63254C2318yes—
255C2×#63254C2318yes—
256C2×#63254C2318yescomplemented
257C22×D68C2311yescharacteristic
258C22×D68C2311yescharacteristic
259C22×C4×D17—44no—
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×D17C2311yescharacteristic
270C22×C4×D17C2311yescharacteristic
271C22×C4×D17C2318yes—
272C22×Dic34—44no—
273C22×Dic34C2311yescharacteristic
274C22×Dic34C2311yescharacteristic
275C22×Dic34C2311yescharacteristic
276C22×Dic34C2311yescharacteristic
277C22×Dic34C2311yescharacteristic
278C22×Dic34C2311yescharacteristic
279C22×Dic34C2311yescharacteristic
280C22×Dic34C2311yescharacteristic
281C22×Dic34C2318yescomplemented
282C17×#125C2318yescomplemented
283C17×#124C2318yes—
284C17×#124C2318yescomplemented
285C17×#123C2318yes—
286C17×#123C2318yes—
287C17×#123C2318yescomplemented
288C17×#123C2318yescomplemented
289C17×C22⋊Q8C2318yes—
290C17×C22⋊Q8C2318yescomplemented
291C17×C22⋊Q8C2318yescomplemented
292C17×C22⋊Q8C2318yescomplemented
293C17×#121C2318yes—
294C17×#121C2318yes—
295C17×#121C2318yes—
296C17×#121C2318yescomplemented
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×C22⋊C4×C17C2311yescharacteristic
308C2×C22⋊C4×C17C2311yescharacteristic
309C2×C22⋊C4×C17C2311yescharacteristic
310C2×C22⋊C4×C17C2311yescharacteristic
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×C22⋊Dic17C2311yescharacteristic
321C2×C22⋊Dic17C2311yescharacteristic
322C2×C22⋊Dic17C2311yescharacteristic
323C2×C22⋊Dic17C2311yescharacteristic
324C2×C22⋊Dic17C2311yescharacteristic
325C2×C22⋊Dic17C2311yescharacteristic
326C2×C22⋊Dic17C2311yescharacteristic
327C2×C22⋊Dic17C2311yescharacteristic
328C2×C22⋊Dic17C2311yescharacteristic
329C2×C22⋊Dic17C2311yescharacteristic
330C2×C22⋊Dic17C2311yescharacteristic
331C2×C22⋊Dic17C2311yescharacteristic
332C2×C22⋊Dic17C2311yescharacteristic
333C2×C22⋊Dic17C2311yescharacteristic
334#10587633C2318yes—
335#10587632C2318yes—
336#10587632C2318yes—
337#10587632C2318yescomplemented
338Q8×Dic17C2318yescomplemented
339#10587630C2318yescomplemented
340#10587630C2318yescomplemented
341#10587625C2318yes—
342#10587625C2318yes—
343#10587625C2318yes—
344#10587625C2318yescomplemented
345#10587625C2318yescomplemented
346#10587624C2318yes—
347#10587624C2318yes—
348#10587624C2318yes—
349#10587624C2318yes—
350#10587623C2318yes—
351#10587623C2318yes—
352#10587623C2318yes—
353#10587622C2318yes—
354#10587622C2318yes—
355#10587621C2318yes—
356#10587621C2318yes—
357#10587621C2318yescomplemented
358#10587621C2318yescomplemented
359D4×Dic17C2318yes—
360D4×Dic17C2318yes—
361D4×Dic17C2318yescomplemented
362#10587616C2318yes—
363#10587615C2318yes—
364#10587615C2318yes—
365#10587615C2318yes—
366C4×C22⋊D17C2318yes—
367C4×C22⋊D17C2318yes—
368C4×C22⋊D17C2318yes—
369C4×C22⋊D17C2318yescomplemented
370C4×C22⋊D17C2318yescomplemented
371C2×#63227C2311yescharacteristic
372C2×#63227C2311yescharacteristic
373C2×#63227C2311yescharacteristic
374C2×#63227C2311yescharacteristic
375C2×#63227C2311yescharacteristic
376C2×#63227C2311yescharacteristic
377C2×#63227C2311yescharacteristic
378C2×#63227C2311yescharacteristic
379C2×#63227C2311yescharacteristic
380C2×#63227C2311yescharacteristic
381C2×#63227C2311yescharacteristic
382C2×#63227C2311yescharacteristic
383C2×#63227C2311yescharacteristic
384C2×#63227C2311yescharacteristic
385C2×#63227C2311yescharacteristic
386C2×#63227C2311yescharacteristic
387C2×#63227C2311yescharacteristic
388C2×#63227C2311yescharacteristic
389#10587612C2318yescomplemented
390C2×C4⋊Dic17C2311yescharacteristic
391C2×C4⋊Dic17C2311yescharacteristic
392C2×C4⋊Dic17C2311yescharacteristic
393C2×C4⋊Dic17C2311yescharacteristic
394C2×C4⋊Dic17C2311yescharacteristic
395C2×C4⋊Dic17C2311yescharacteristic
396C2×C4⋊Dic17C2311yescharacteristic
397C2×C4⋊Dic17C2311yescharacteristic
398C2×C4⋊Dic17C2311yescharacteristic
399C2×C4⋊Dic17C2311yescharacteristic
400C2×C4⋊Dic17C2311yescharacteristic
401C2×C4⋊Dic17C2311yescharacteristic
402C2×C4⋊Dic17C2318yescomplemented
403#10587610C2318yes—
404#10587610C2318yes—
405C2×#63225C2311yescharacteristic
406C2×#63225C2311yescharacteristic
407C2×#63225C2311yescharacteristic
408C2×#63225C2311yescharacteristic
409C2×#63225C2311yescharacteristic
410C2×#63225C2311yescharacteristic
411C2×#63225C2311yescharacteristic
412C2×#63225C2311yescharacteristic
413C2×#63225C2311yescharacteristic
414C2×#63225C2311yescharacteristic
415C2×#63225C2311yescharacteristic
416C2×#63225C2311yescharacteristic
417C2×#63225C2311yescharacteristic
418C2×#63225C2311yescharacteristic
419C2×#63225C2311yescharacteristic
420C2×#63225C2311yescharacteristic
421C2×#63225C2311yescharacteristic
422C2×#63225C2311yescharacteristic
423C2×#63225C2311yescharacteristic
424C2×#63225C2311yescharacteristic
425C2×#63225C2311yescharacteristic
426C2×#63225C2311yescharacteristic
427C2×#63225C2311yescharacteristic
428C2×#63225C2311yescharacteristic
429C2×#63225C2311yescharacteristic
430C2×#63225C2311yescharacteristic
431C2×#63225C2318yescomplemented
432C2×C4×Dic17C2311yescharacteristic
433C2×C4×Dic17C2311yescharacteristic
434C2×C4×Dic17C2311yescharacteristic
435C2×C4×Dic17C2311yescharacteristic
436C2×C4×Dic17C2311yescharacteristic
437C2×C4×Dic17C2311yescharacteristic
438C2×C4×Dic17C2311yescharacteristic
439C2×C4×Dic17C2311yescharacteristic
440C2×C4×Dic17C2311yescharacteristic
441C2×C4×Dic17C2311yescharacteristic
442C2×C4×Dic17C2311yescharacteristic
443#10587584C2318yes—
444#10587584C2318yes—
445#10587584C2318yes—
446#10587584C2318yescomplemented
447#10587584C2318yescomplemented
448#10587583C2318yes—
449#10587583C2318yes—
450#10587583C2318yes—
451#10587583C2318yescomplemented
452#10587582C2318yes—
453#10587582C2318yes—
454#10587582C2318yes—
455#10587582C2318yes—
456#10587582C2318yes—
457#10587582C2318yes—
458#10587582C2318yescomplemented
459#10587582C2318yescomplemented
460#10587580C2318yes—
461#10587579C2318yes—
462#10587579C2318yes—
463#10587579C2318yes—
464#10587578C2318yes—
465C4⋊C4×D17C2318yes—
466C4⋊C4×D17C2318yes—
467C4⋊C4×D17C2318yes—
468C4⋊C4×D17C2318yescomplemented
469#10587576C2318yescomplemented
470#10587576C2318yescomplemented
471#10587575C2318yescomplemented
472#10587575C2318yescomplemented
473#10587575C2318yescomplemented
474#10587575C2318yescomplemented
475#10587575C2318yescomplemented
476#10587575C2318yescomplemented
477#10587574C2318yescomplemented
478#10587574C2318yescomplemented
479#10587574C2318yescomplemented
480#10587574C2318yescomplemented
481#10587573C2318yescomplemented
482#10587573C2318yescomplemented
483#10587572C2318yes—
484#10587571C2318yes—
485#10587571C2318yes—
486#10587571C2318yes—
487#10587571C2318yes—
488#10587571C2318yescomplemented
489#10587571C2318yescomplemented
490#10587570C2318yes—
491#10587570C2318yes—
492#10587570C2318yes—
493#10587570C2318yes—
494#10587570C2318yes—
495#10587569C2318yes—
496#10587569C2318yes—
497#10587569C2318yes—
498#10587569C2318yescomplemented
499#10587569C2318yescomplemented
500#10587568C2318yes—
501#10587567C2318yes—
502#10587567C2318yes—
503#10587567C2318yes—
504#10587567C2318yes—
505#10587567C2318yes—
506#10587567C2318yes—
507#10587567C2318yes—
508C22⋊C4×D17C2318yes—
509C22⋊C4×D17C2318yes—
510#10587565C2318yes—
511#10587565C2318yes—
512#10587565C2318yes—
513#10587565C2318yes—
514#10587565C2318yescomplemented
515#10587565C2318yescomplemented
516#10587565C2318yescomplemented
517#10587565C2318yescomplemented
518#10587564C2318yes—
519#10587564C2318yes—
520#10587564C2318yescomplemented
521#10587564C2318yescomplemented
522#10587564C2318yescomplemented
523#10587564C2318yescomplemented
524#10587564C2318yescomplemented
525#10587564C2318yescomplemented
526#10587564C2318yescomplemented
527#10587564C2318yescomplemented
528#10587563C2318yes—
529#10587563C2318yescomplemented
530#10587563C2318yescomplemented
531#10587562C2318yes—
532C4×D68C2318yes—
533C4×Dic34C2318yescomplemented
534C4×Dic34C2318yescomplemented
535C24×C17C2411yescharacteristic
536C24×C17C2411yescharacteristic
537C24×C17C2411yescharacteristic
538C24×C17C2411yescharacteristic
539C23×D17—24no—
540C23×D17—42no—
541C23×D17—42no—
542C23×D17C2411yescharacteristic
543C23×D17C2411yescharacteristic
544C23×D17C2411yescharacteristic
545C23×D17C2414yes—
546C2×Q8×C17—42no—
547C2×Q8×C17—42no—
548C2×Q8×C17C2414yes—
549C2×Q8×C17C2414yes—
550C2×D4×C17—42no—
551C2×D4×C17—42no—
552C2×D4×C17—42no—
553C2×D4×C17—42no—
554C2×D4×C17—42no—
555C2×D4×C17—42no—
556C2×D4×C17C2414yes—
557C2×D4×C17C2414yes—
558C2×D4×C17C2414yes—
559C2×D4×C17C2414yes—
560C2×D4×C17C2414yes—
561C2×D4×C17C2414yes—
562C22×C4×C17—42no—
563C22×C4×C17—42no—
564C22×C4×C17—42no—
565C22×C4×C17—42no—
566C22×C4×C17C2411yescharacteristic
567C22×C4×C17C2411yescharacteristic
568C22×C4×C17C2411yescharacteristic
569C22×C4×C17C2411yescharacteristic
570C22×C4×C17C2411yescharacteristic
571C22×C4×C17C2411yescharacteristic
572C22×C4×C17C2411yescharacteristic
573C22×C4×C17C2411yescharacteristic
574C22×C4×C17C2411yescharacteristic
575C22×C4×C17C2411yescharacteristic
576C22×C4×C17C2411yescharacteristic
577C22×C4×C17C2414yes—
578C22×C4×C17C2414yes—
579C22×C4×C17C2414yes—
580C22×C4×C17C2414yes—
581C2×C22⋊D17—24no—
582C2×C22⋊D17—24no—
583C2×C22⋊D17—24no—
584C2×C22⋊D17—24no—
585C2×C22⋊D17—42no—
586C2×C22⋊D17—42no—
587C2×C22⋊D17—42no—
588C2×C22⋊D17—42no—
589C2×C22⋊D17—42no—
590C2×C22⋊D17—42no—
591C2×C22⋊D17C2414yes—
592C2×C22⋊D17C2414yes—
593C2×C22⋊D17C2414yes—
594C2×C22⋊D17C2414yes—
595C2×C22⋊D17C2414yes—
596C2×C22⋊D17C2414yes—
597C2×C22⋊D17C2414yes—
598C2×C22⋊D17C2414yes—
599C2×C22⋊D17C2414yes—
600C2×C22⋊D17C2414yes—
601C22×Dic17—24no—
602C22×Dic17—24no—
603C22×Dic17—24no—
604C22×Dic17—42no—
605C22×Dic17—42no—
606C22×Dic17—42no—
607C22×Dic17—42no—
608C22×Dic17C2411yescharacteristic
609C22×Dic17C2411yescharacteristic
610C22×Dic17C2411yescharacteristic
611C22×Dic17C2411yescharacteristic
612C22×Dic17C2411yescharacteristic
613C22×Dic17C2411yescharacteristic
614C22×Dic17C2411yescharacteristic
615C22×Dic17C2414yes—
616C22×Dic17C2411yescharacteristic
617C22×Dic17C2414yes—
618C22×Dic17C2411yescharacteristic
619C22×Dic17C2414yes—
620C22×Dic17C2411yescharacteristic
621C22×Dic17C2411yescharacteristic
622C22×Dic17C2411yescharacteristic
623C22×Dic17C2414yes—
624C22×Dic17C2414yes—
625C22×Dic17C2414yes—
626C22×Dic17C2414yes—
627C22×Dic17C2411yescharacteristic
628Q8×D17—416no—
629#63254—416no—
630#63254—416no—
631#63254—416no—
632C2×D68—24no—
633C2×D68—42no—
634C2×D68C2414yes—
635C2×D68C2414yes—
636C2×C4×D17—24no—
637C2×C4×D17—24no—
638C2×C4×D17—416no—
639C2×C4×D17—42no—
640C2×C4×D17—42no—
641C2×C4×D17—42no—
642C2×C4×D17—42no—
643C2×C4×D17—42no—
644C2×C4×D17—42no—
645C2×C4×D17—42no—
646C2×C4×D17—42no—
647C2×C4×D17—42no—
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×C4×D17C2414yes—
658C2×C4×D17C2414yes—
659C2×Dic34—24no—
660C2×Dic34—24no—
661C2×Dic34—24no—
662C2×Dic34—416no—
663C2×Dic34—42no—
664C2×Dic34—42no—
665C2×Dic34—42no—
666C2×Dic34—42no—
667C2×Dic34—42no—
668C2×Dic34C2414yes—
669C2×Dic34C2414yes—
670C2×Dic34C2414yes—
671C2×Dic34C2414yes—
672C2×Dic34C2414yes—
673C2×Dic34C2414yes—
674C2×Dic34C2414yes—
675C2×Dic34C2414yes—
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—
686C22⋊C4×C17C2414yes—
687C22⋊C4×C17C2414yes—
688C22⋊C4×C17C2414yes—
689C22⋊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—
699C22⋊Dic17C2414yes—
700C22⋊Dic17C2414yes—
701C22⋊Dic17C2414yes—
702C22⋊Dic17C2414yes—
703C22⋊Dic17C2414yes—
704C22⋊Dic17C2414yes—
705C22⋊Dic17C2414yes—
706C22⋊Dic17C2414yes—
707C22⋊Dic17C2414yes—
708C22⋊Dic17C2414yes—
709C22⋊Dic17C2414yes—
710C22⋊Dic17C2414yes—
711C22⋊Dic17C2414yes—
712C22⋊Dic17C2414yes—
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—
731C4⋊Dic17C2414yes—
732C4⋊Dic17C2414yes—
733C4⋊Dic17C2414yes—
734C4⋊Dic17C2414yes—
735C4⋊Dic17C2414yes—
736C4⋊Dic17C2414yes—
737C4⋊Dic17C2414yes—
738C4⋊Dic17C2414yes—
739C4⋊Dic17C2414yes—
740C4⋊Dic17C2414yes—
741C4⋊Dic17C2414yes—
742C4⋊Dic17C2414yes—
743#63225C2414yes—
744#63225C2414yes—
745#63225C2414yes—
746#63225C2414yes—
747#63225C2414yes—
748#63225C2414yes—
749#63225C2414yes—
750#63225C2414yes—
751#63225C2414yes—
752#63225C2414yes—
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—
769C4×Dic17C2414yes—
770C4×Dic17C2414yes—
771C4×Dic17C2414yes—
772C4×Dic17C2414yes—
773C4×Dic17C2414yes—
774C4×Dic17C2414yes—
775C4×Dic17C2414yes—
776C4×Dic17C2414yes—
777C4×Dic17C2414yes—
778C4×Dic17C2414yes—
779C4×Dic17C2414yes—
780C2×#3541—171nomaximal, Sylow
781C23×C17—22no—
782C23×C17—22no—
783C23×C17—22no—
784C23×C17—22no—
785C23×C17—22no—
786C23×C17—22no—
787C23×C17—22no—
788C23×C17—22no—
789C23×C17—22no—
790C23×C17—22no—
791C23×C17—22no—
792C23×C17—22no—
793C23×C17C2512yes—
794C23×C17C2512yes—
795C23×C17C2512yes—
796C23×C17C2512yes—
797C23×C17C2511yescharacteristic
798C22×D17—22no—
799C22×D17—22no—
800C22×D17—22no—
801C22×D17—22no—
802C22×D17—22no—
803C22×D17—22no—
804C22×D17—22no—
805C22×D17—22no—
806C22×D17—28no—
807C22×D17—44no—
808C22×D17—44no—
809C22×D17—416no—
810C22×D172−1+414yes—
811C22×D17C2512yes—
812C22×D17C2512yes—
813C22×D17C2512yes—
814Q8×C17—44no—
815Q8×C17—44no—
816D4×C17—44no—
817D4×C17—44no—
818D4×C17—44no—
819D4×C17—44no—
820D4×C17—44no—
821D4×C17—44no—
822C2×C4×C17—22no—
823C2×C4×C17—22no—
824C2×C4×C17—22no—
825C2×C4×C17—22no—
826C2×C4×C17—22no—
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—44no—
834C2×C4×C17—44no—
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—
848C22⋊D17—28no—
849C22⋊D17—28no—
850C22⋊D17—28no—
851C22⋊D17—28no—
852C22⋊D17—44no—
853C22⋊D17—44no—
854C22⋊D17—44no—
855C22⋊D17—44no—
856C22⋊D17—44no—
857C22⋊D17—44no—
858C2×Dic17—22no—
859C2×Dic17—22no—
860C2×Dic17—22no—
861C2×Dic17—22no—
862C2×Dic17—22no—
863C2×Dic17—22no—
864C2×Dic17—22no—
865C2×Dic17—22no—
866C2×Dic17—22no—
867C2×Dic17—22no—
868C2×Dic17—22no—
869C2×Dic17—22no—
870C2×Dic17—28no—
871C2×Dic17—28no—
872C2×Dic17—28no—
873C2×Dic17—44no—
874C2×Dic17—44no—
875C2×Dic17—44no—
876C2×Dic17—44no—
877C2×Dic17H(5,𝔽2)14yes—
878C2×Dic17C2512yes—
879C2×Dic17C2512yes—
880C2×Dic17C2512yes—
881C2×Dic17C2512yes—
882C2×Dic17C2512yes—
883C2×Dic17C2512yes—
884C2×Dic17C2512yes—
885C2×Dic17C2512yes—
886C2×Dic17C2512yes—
887C2×Dic17C2512yes—
888C2×Dic17C2512yes—
889C2×Dic17C2512yes—
890C2×Dic17C2512yes—
891D68—28no—
892D68—44no—
893C4×D17—28no—
894C4×D17—28no—
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—
904Dic34—28no—
905Dic34—28no—
906Dic34—28no—
907Dic34—44no—
908Dic34—44no—
909Dic34—44no—
910Dic34—44no—
911Dic34—44no—
912#3541—1732no—
913C2×#563—171no—
914C2×#563—171no—
915C2×#562—171no—
916C2×#562D1711yescharacteristic, complemented
917C2×#556—171no—
918C2×#554—171no—
919C2×#554—171no—
920C2×#554—171no—
921C2×#553—171no—
922C2×#553—171no—
923C2×#553—171no—
924C2×#552—171no—
925C2×D4×Q8—171no—
926C2×#548—171no—
927C2×#548—171no—
928C2×#547—171no—
929C2×#542—171no—
930C2×#542—171no—
931C2×#542—171no—
932C2×#541—171no—
933C2×#539—171no—
934C2×#539—171no—
935C2×#538—171no—
936C2×#538—171no—
937C2×#538—171no—
938C2×#538—171no—
939C2×#537—171no—
940C2×#536—171no—
941C2×#525—171no—
942C2×#525—171no—
943C22×C22⋊Q8—171no—
944C22×C17—22no—
945C22×C17—22no—
946C22×C17—22no—
947C22×C17—22no—
948C22×C17—22no—
949C22×C17—22no—
950C22×C17—22no—
951C22×C17—22no—
952C22×C17—22no—
953C22×C17—22no—
954C22×C17—22no—
955C22×C17—22no—
956C22×C17—44no—
957C22×C17—44no—
958C22×C17—44no—
959C22×C17—44no—
960C22×C17C2×H(5,𝔽2)12yes—
961C22×C17C2×2−1+412yes—
962C22×C17#58512yes—
963C22×C17C2611yescharacteristic
964C2×D17—22no—
965C2×D17—22no—
966C2×D17—28no—
967C2×D17—22no—
968C2×D17—22no—
969C2×D17—22no—
970C2×D17—22no—
971C2×D17—22no—
972C2×D17—22no—
973C2×D17—416no—
974C2×D17—44no—
975C2×D17—44no—
976C2×D17C2×2−1+414yes—
977C4×C17—22no—
978C4×C17—22no—
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—
988Dic17—22no—
989Dic17—22no—
990Dic17—22no—
991Dic17—22no—
992Dic17—22no—
993Dic17—22no—
994Dic17—22no—
995Dic17—22no—
996Dic17—22no—
997Dic17—22no—
998Dic17—22no—
999Dic17—22no—
1000Dic17C2×H(5,𝔽2)14yes—
1001C22×#41—171no—
1002C22×#41—171no—
1003C22×#41—171no—
1004C23×Q8—171no—
1005C23×Q8—171no—
1006C24×C4—171no—
1007#563—1716no—
1008#563—1716no—
1009#562—1716no—
1010#562C2×D17116yescomplemented
1011#556—1716no—
1012#554—1716no—
1013#554—1716no—
1014#554—1716no—
1015#553—1716no—
1016#553—1716no—
1017#553—1716no—
1018#552—1716no—
1019D4×Q8—1716no—
1020#548—1716no—
1021#548—1716no—
1022#547—1716no—
1023#542—1716no—
1024#542—1716no—
1025#542—1716no—
1026#541—1716no—
1027#539—1716no—
1028#539—1716no—
1029#538—1716no—
1030#538—1716no—
1031#538—1716no—
1032#538—1716no—
1033#537—1716no—
1034#536—1716no—
1035C2×C4⋊Q8—171no—
1036C2×C4⋊Q8—171no—
1037C2×C4⋊Q8—171no—
1038C2×C4⋊Q8—171no—
1039C2×C4⋊Q8—171no—
1040C2×C4⋊Q8—171no—
1041C2×#126—171no—
1042C2×#126—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×#126—171no—
1054C2×#126—171no—
1055C2×#125—171no—
1056C2×#125—171no—
1057C2×#125—171no—
1058C2×#125—171no—
1059C2×#125—171no—
1060C2×#125—171no—
1061C2×#125—171no—
1062C2×#125—171no—
1063C2×#125C2×D1711yescharacteristic, complemented
1064C2×#124—171no—
1065C2×#124—171no—
1066C2×#124—171no—
1067C2×#124—171no—
1068C2×#124—171no—
1069C2×#124—171no—
1070C2×#124—171no—
1071C2×#124—171no—
1072C2×#124—171no—
1073C2×#124C2×D1711yescharacteristic
1074C2×#124C2×D1711yescharacteristic, complemented
1075#525—1716no—
1076#525—1716no—
1077C2×#123—171no—
1078C2×#123—171no—
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×#123C2×D1711yescharacteristic
1092C2×#123C2×D1711yescharacteristic
1093C2×#123C2×D1711yescharacteristic, complemented
1094C2×#123C2×D1711yescharacteristic, complemented
1095C2×C22⋊Q8—171no—
1096C2×C22⋊Q8—171no—
1097C2×C22⋊Q8—171no—
1098C2×C22⋊Q8—171no—
1099C2×C22⋊Q8—171no—
1100C2×C22⋊Q8—1716no—
1101C2×C22⋊Q8—171no—
1102C2×C22⋊Q8—171no—
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⋊Q8C2×D1711yescharacteristic
1124C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1125C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1126C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1127C2×#121—171no—
1128C2×#121—171no—
1129C2×#121—171no—
1130C2×#121—171no—
1131C2×#121—171no—
1132C2×#121—171no—
1133C2×#121—171no—
1134C2×#121—171no—
1135C2×#121—171no—
1136C2×#121—171no—
1137C2×#121—171no—
1138C2×#121—171no—
1139C2×#121—171no—
1140C2×#121—171no—
1141C2×#121—171no—
1142C2×#121C2×D1711yescharacteristic
1143C2×#121C2×D1711yescharacteristic
1144C2×#121C2×D1711yescharacteristic
1145C2×#121C2×D1711yescharacteristic, complemented
1146C2×#120—171no—
1147C2×#120—171no—
1148C2×#120—171no—
1149C2×#120—171no—
1150C2×C4×Q8—171no—
1151C2×C4×Q8—171no—
1152C2×C4×Q8—171no—
1153C2×C4×Q8—171no—
1154C2×C4×Q8—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×D4—171no—
1168C2×C4×D4—171no—
1169C2×C4×D4—171no—
1170C2×C4×D4—171no—
1171C2×C4×D4—171no—
1172C2×C4×D4—171no—
1173C2×C4×D4—171no—
1174C2×#117—171no—
1175C2×#117—171no—
1176C2×#117—171no—
1177C2×#117—171no—
1178C2×#117—171no—
1179C22×C4⋊C4—171no—
1180C22×C4⋊C4—171no—
1181C22×C4⋊C4—171no—
1182C22×C4⋊C4—171no—
1183C22×C4⋊C4—171no—
1184C22×C4⋊C4—171no—
1185C22×C22⋊C4—171no—
1186C22×C22⋊C4—171no—
1187C2×C17—42no—
1188C2×C17—42no—
1189C2×C17—42no—
1190C2×C17—42no—
1191C2×C17#354114yescomplemented
1192C2×C17C22×H(5,𝔽2)11yescharacteristic
1193C2×C17C22×2−1+411yescharacteristic
1194C2×C17C2×#58511yescharacteristic
1195D17—24no—
1196D17—42no—
1197D17—42no—
1198C25—171no—
1199C2×#41—178no—
1200C2×#41—178no—
1201C2×#41—178no—
1202C2×#41—684no—
1203C2×#41—684no—
1204C2×#41—684no—
1205C22×Q8—178no—
1206C22×Q8—171no—
1207C22×Q8—171no—
1208C22×Q8—171no—
1209C22×Q8—171no—
1210C22×Q8—171no—
1211C22×Q8—171no—
1212C22×Q8—171no—
1213C22×Q8—171no—
1214C22×Q8—178no—
1215C22×Q8—684no—
1216C22×Q8—684no—
1217C22×Q8C22×D1711yescharacteristic
1218C22×Q8C22×D1711yescharacteristic
1219C22×D4—171no—
1220C22×D4—171no—
1221C22×D4—171no—
1222C22×D4—171no—
1223C22×D4—171no—
1224C22×D4—171no—
1225C22×D4—171no—
1226C22×D4—171no—
1227C22×D4—171no—
1228C22×D4—171no—
1229C22×D4—171no—
1230C22×D4—171no—
1231C22×D4C22×D1711yescharacteristic
1232C22×D4C22×D1711yescharacteristic
1233C22×D4C22×D1711yescharacteristic
1234C22×D4C22×D1711yescharacteristic
1235C22×D4C22×D1711yescharacteristic
1236C22×D4C22×D1711yescharacteristic
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#126—178no—
1278#126—178no—
1279#126—178no—
1280#126—178no—
1281#125—178no—
1282#125—178no—
1283#125—178no—
1284#125—178no—
1285#125—178no—
1286#125—178no—
1287#125—178no—
1288#125—178no—
1289#125C22×D1718yescomplemented
1290#124—178no—
1291#124—178no—
1292#124—178no—
1293#124—178no—
1294#124—178no—
1295#124—178no—
1296#124—178no—
1297#124—178no—
1298#124—178no—
1299#124C22×D1718yes—
1300#124C22×D1718yescomplemented
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#123C22×D1718yes—
1316#123C22×D1718yes—
1317#123C22×D1718yescomplemented
1318#123C22×D1718yescomplemented
1319C22⋊Q8—178no—
1320C22⋊Q8—178no—
1321C22⋊Q8—178no—
1322C22⋊Q8—178no—
1323C22⋊Q8—178no—
1324C22⋊Q8—178no—
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⋊Q8C22×D1718yes—
1347C22⋊Q8C22×D1718yescomplemented
1348C22⋊Q8C22×D1718yescomplemented
1349C22⋊Q8C22×D1718yescomplemented
1350#121—178no—
1351#121—178no—
1352#121—178no—
1353#121—178no—
1354#121—178no—
1355#121—178no—
1356#121—178no—
1357#121—178no—
1358#121—178no—
1359#121—178no—
1360#121—178no—
1361#121—178no—
1362#121—178no—
1363#121—178no—
1364#121—178no—
1365#121C22×D1718yes—
1366#121C22×D1718yes—
1367#121C22×D1718yes—
1368#121C22×D1718yescomplemented
1369#120—178no—
1370#120—178no—
1371#120—178no—
1372#120—178no—
1373C4×Q8—178no—
1374C4×Q8—178no—
1375C4×Q8—178no—
1376C4×Q8—178no—
1377C4×Q8—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×D4—178no—
1389C4×D4—178no—
1390C4×D4—178no—
1391C4×D4—178no—
1392C4×D4—178no—
1393C4×D4—178no—
1394C4×D4—178no—
1395C4×D4—178no—
1396C4×D4—178no—
1397#117—178no—
1398#117—178no—
1399#117—178no—
1400#117—178no—
1401#117—178no—
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—171no—
1412C2×C4⋊C4—171no—
1413C2×C4⋊C4—171no—
1414C2×C4⋊C4—171no—
1415C2×C4⋊C4—171no—
1416C2×C4⋊C4—171no—
1417C2×C4⋊C4—171no—
1418C2×C4⋊C4—178no—
1419C2×C4⋊C4—178no—
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—171no—
1433C2×C4⋊C4—171no—
1434C2×C4⋊C4—171no—
1435C2×C4⋊C4—171no—
1436C2×C4⋊C4—171no—
1437C2×C4⋊C4—171no—
1438C2×C4⋊C4—171no—
1439C2×C4⋊C4—171no—
1440C2×C4⋊C4—171no—
1441C2×C4⋊C4—171no—
1442C2×C4⋊C4—178no—
1443C2×C4⋊C4—178no—
1444C2×C4⋊C4—178no—
1445C2×C4⋊C4—178no—
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×D1711yescharacteristic
1453C2×C4⋊C4C22×D1711yescharacteristic
1454C2×C4⋊C4C22×D1711yescharacteristic
1455C2×C4⋊C4C22×D1711yescharacteristic
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—171no—
1473C2×C22⋊C4—171no—
1474C2×C22⋊C4—171no—
1475C2×C22⋊C4—171no—
1476C2×C22⋊C4—171no—
1477C2×C22⋊C4—171no—
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—178no—
1489C2×C22⋊C4—178no—
1490C2×C22⋊C4C22×D1711yescharacteristic
1491C2×C22⋊C4C22×D1711yescharacteristic
1492C2×C22⋊C4C22×D1711yescharacteristic
1493C2×C22⋊C4C22×D1711yescharacteristic
1494C2×C22⋊C4C22×D1711yescharacteristic
1495C2×C22⋊C4C22×D1711yescharacteristic
1496C2×C22⋊C4C22×D1711yescharacteristic
1497C2×C22⋊C4C22×D1711yescharacteristic
1498C2×C22⋊C4C22×D1711yescharacteristic
1499C2×C22⋊C4C22×D1711yescharacteristic
1500C2×C22⋊C4C22×D1711yescharacteristic
1501C2×C22⋊C4C22×D1711yescharacteristic
1502C2×C42—171no—
1503C2×C42—171no—
1504C2×C42—171no—
1505C2×C42—171no—
1506C2×C42—171no—
1507C2×C42—171no—
1508C2×C42—171no—
1509C2×C42—171no—
1510C2×C42—171no—
1511C2×C42—171no—
1512C2×C42—171no—
1513C2×C42C22×D1711yescharacteristic
1514C17C2×#354111yescharacteristic, complemented, Sylow
1515C24—171no—
1516C24—171no—
1517C24—171no—
1518C24—174no—
1519C24—344no—
1520C24—682no—
1521C24—682no—
1522C24C23×D1711yescharacteristic
1523C24C23×D1711yescharacteristic
1524C24C23×D1711yescharacteristic
1525C24C23×D1711yescharacteristic
1526#41—6816no—
1527#41—6816no—
1528#41—6816no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—174no—
1532C2×Q8—174no—
1533C2×Q8—174no—
1534C2×Q8—174no—
1535C2×Q8—174no—
1536C2×Q8—174no—
1537C2×Q8—174no—
1538C2×Q8—174no—
1539C2×Q8—344no—
1540C2×Q8—344no—
1541C2×Q8—344no—
1542C2×Q8—682no—
1543C2×Q8—682no—
1544C2×Q8—682no—
1545C2×Q8—682no—
1546C2×Q8—682no—
1547C2×Q8—6816no—
1548C2×Q8—6816no—
1549C2×Q8C23×D1714yes—
1550C2×Q8C23×D1714yes—
1551C2×D4—42no—
1552C2×D4—42no—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—42no—
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×D4C23×D1714yes—
1582C2×D4C23×D1714yes—
1583C2×D4C23×D1714yes—
1584C2×D4C23×D1714yes—
1585C2×D4C23×D1714yes—
1586C2×D4C23×D1714yes—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—171no—
1592C22×C4—174no—
1593C22×C4—174no—
1594C22×C4—174no—
1595C22×C4—171no—
1596C22×C4—171no—
1597C22×C4—171no—
1598C22×C4—171no—
1599C22×C4—171no—
1600C22×C4—171no—
1601C22×C4—171no—
1602C22×C4—171no—
1603C22×C4—171no—
1604C22×C4—171no—
1605C22×C4—171no—
1606C22×C4—171no—
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—174no—
1620C22×C4—174no—
1621C22×C4—174no—
1622C22×C4—344no—
1623C22×C4—344no—
1624C22×C4—344no—
1625C22×C4—344no—
1626C22×C4—344no—
1627C22×C4—682no—
1628C22×C4—682no—
1629C22×C4—682no—
1630C22×C4—682no—
1631C22×C4—682no—
1632C22×C4—682no—
1633C22×C4—682no—
1634C22×C4—682no—
1635C22×C4—682no—
1636C22×C4—6816no—
1637C22×C4—682no—
1638C22×C4—682no—
1639C22×C4—682no—
1640C22×C4—682no—
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×D1714yes—
1653C22×C4C23×D1714yes—
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⋊C4—174no—
1691C4⋊C4—174no—
1692C4⋊C4—174no—
1693C4⋊C4—174no—
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—
1704C22⋊C4—174no—
1705C22⋊C4—174no—
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⋊C4C23×D1714yes—
1737C22⋊C4C23×D1714yes—
1738C22⋊C4C23×D1714yes—
1739C22⋊C4C23×D1714yes—
1740C22⋊C4C23×D1714yes—
1741C22⋊C4C23×D1714yes—
1742C22⋊C4C23×D1714yes—
1743C22⋊C4C23×D1714yes—
1744C22⋊C4C23×D1714yes—
1745C22⋊C4C23×D1714yes—
1746C22⋊C4C23×D1714yes—
1747C22⋊C4C23×D1714yes—
1748C42—174no—
1749C42—174no—
1750C42—174no—
1751C42—174no—
1752C42—174no—
1753C42—174no—
1754C42—174no—
1755C42—174no—
1756C42—174no—
1757C42—174no—
1758C42—174no—
1759C42C23×D1714yes—
1760C23—22no—
1761C23—22no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—22no—
1771C23—22no—
1772C23—174no—
1773C23—172no—
1774C23—172no—
1775C23—172no—
1776C23—348no—
1777C23—342no—
1778C23—342no—
1779C23—342no—
1780C23—342no—
1781C23—342no—
1782C23—342no—
1783C23—342no—
1784C23—342no—
1785C23—684no—
1786C23—684no—
1787C23—6816no—
1788C23C24×D1712yes—
1789C23C24×D1712yes—
1790C23C24×D1712yes—
1791C23C24×D1712yes—
1792C23C24×D1711yescharacteristic
1793Q8—44no—
1794Q8—44no—
1795Q8—348no—
1796Q8—348no—
1797Q8—348no—
1798Q8—684no—
1799Q8—684no—
1800Q8—684no—
1801Q8—684no—
1802Q8—684no—
1803D4—44no—
1804D4—44no—
1805D4—44no—
1806D4—44no—
1807D4—44no—
1808D4—44no—
1809D4—348no—
1810D4—348no—
1811D4—348no—
1812D4—348no—
1813D4—348no—
1814D4—684no—
1815D4—684no—
1816D4—684no—
1817D4—684no—
1818D4—684no—
1819D4—684no—
1820D4—684no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—174no—
1837C2×C4—172no—
1838C2×C4—172no—
1839C2×C4—172no—
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—348no—
1851C2×C4—348no—
1852C2×C4—348no—
1853C2×C4—348no—
1854C2×C4—348no—
1855C2×C4—342no—
1856C2×C4—342no—
1857C2×C4—342no—
1858C2×C4—342no—
1859C2×C4—342no—
1860C2×C4—342no—
1861C2×C4—342no—
1862C2×C4—342no—
1863C2×C4—342no—
1864C2×C4—342no—
1865C2×C4—342no—
1866C2×C4—342no—
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×C4C24×D1712yes—
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—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—44no—
1904C22—44no—
1905C22—44no—
1906C22—44no—
1907C22—174no—
1908C22—348no—
1909C22—342no—
1910C22—342no—
1911C22—342no—
1912C22—342no—
1913C22—342no—
1914C22—342no—
1915C22—342no—
1916C22—342no—
1917C22—6816no—
1918C22—684no—
1919C22—684no—
1920C22H(5,𝔽2)×D1712yes—
1921C222−1+4×D1712yes—
1922C22#1176364412yes—
1923C22C25×D1711yescharacteristic
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—22no—
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—174no—
1936C4—342no—
1937C4—342no—
1938C4—342no—
1939C4—342no—
1940C4—342no—
1941C4—342no—
1942C4—342no—
1943C4—342no—
1944C4—342no—
1945C4—342no—
1946C4—342no—
1947C4—342no—
1948C2—42no—
1949C2—42no—
1950C2—42no—
1951C2—42no—
1952C2—344no—
1953C2—682no—
1954C2—682no—
1955C2#1454306614yesdirect product factor
1956C2C2×H(5,𝔽2)×D1711yescharacteristic
1957C2C2×2−1+4×D1711yescharacteristic
1958C2C2×#1176364411yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#562C2
socleC23×C17C25
hypercenterC2×#562D17
hypocenterC17C2×#3541
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#562

Complements

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

NH ≅ G/Ntype
1. #14543066C2direct (N × H)
2. C2×#11763562C2semidirect
3. C2×#11763560C2semidirect
4. C2×#11763554C2semidirect
5. C2×#11763528C2semidirect
6. C2×#11763517C2semidirect
7. C2×#11763515C2semidirect
8. C2×#11763513C2semidirect
9. C2×#11763506C2semidirect
10. C2×#11763504C2semidirect
11. C2×#11763504C2semidirect
12. C2×#11763496C2semidirect
13. C2×#11763472C2semidirect
14. C2×#11763467C2semidirect
15. C2×#11763465C2semidirect
16. C2×#11763459C2semidirect
17. C2×#11763432C2semidirect
18. C2×#11763429C2semidirect
19. C2×#11763423C2semidirect
20. C2×#11763418C2semidirect
21. C2×#11763405C2semidirect
22. C2×#11763403C2semidirect
23. C2×#11763395C2semidirect
24. C2×#11763393C2semidirect
25. C2×#11763391C2semidirect
26. C2×#11763391C2semidirect
27. C2×#11763386C2semidirect
28. C2×#11763381C2semidirect
29. C2×#11763319C2semidirect
30. C2×#11763317C2semidirect
31. C2×C22⋊Q8×D17C2semidirect
32. C2×C17×#562C2semidirect
35. C22×#63254C22semidirect
36. C23×Dic34C22semidirect
39. #11763562C22semidirect
40. #11763560C22semidirect
41. #11763554C22semidirect
42. #11763528C22semidirect
43. #11763517C22semidirect
44. #11763515C22semidirect
45. #11763513C22semidirect
46. #11763506C22semidirect
47. #11763504C22semidirect
48. #11763504C22semidirect
49. #11763496C22semidirect
50. #11763472C22semidirect
51. #11763467C22semidirect
52. #11763465C22semidirect
53. #11763459C22semidirect
54. #11763432C22semidirect
55. #11763429C22semidirect
56. #11763423C22semidirect
57. #11763418C22semidirect
58. #11763405C22semidirect
59. #11763403C22semidirect
60. #11763395C22semidirect
61. #11763393C22semidirect
62. #11763391C22semidirect
63. #11763391C22semidirect
64. #11763386C22semidirect
65. #11763381C22semidirect
66. C2×#10587574C22semidirect
67. C2×#10587574C22semidirect
68. C2×#10587574C22semidirect
69. C2×#10587574C22semidirect
70. C2×#10587630C22semidirect
71. C2×#10587630C22semidirect
75. C2×#10587584C22semidirect
76. C2×#10587584C22semidirect
82. C2×#10587565C22semidirect
83. C2×#10587565C22semidirect
84. C2×#10587565C22semidirect
85. C2×#10587565C22semidirect
86. C2×#10587576C22semidirect
87. C2×#10587576C22semidirect
88. C2×#10587575C22semidirect
89. C2×#10587575C22semidirect
90. C2×#10587575C22semidirect
91. C2×#10587575C22semidirect
92. C2×#10587575C22semidirect
93. C2×#10587575C22semidirect
101. C2×#10587571C22semidirect
102. C2×#10587571C22semidirect
103. #11763319C22semidirect
104. #11763317C22semidirect
113. C2×#10587569C22semidirect
114. C2×#10587569C22semidirect
117. C2×#10587621C22semidirect
118. C2×#10587621C22semidirect
122. C2×#10587583C22semidirect
131. C2×#10587582C22semidirect
132. C2×#10587582C22semidirect
135. C2×#10587564C22semidirect
136. C2×#10587564C22semidirect
137. C2×#10587564C22semidirect
138. C2×#10587564C22semidirect
139. C2×#10587564C22semidirect
140. C2×#10587564C22semidirect
141. C2×#10587564C22semidirect
142. C2×#10587564C22semidirect
145. C2×#10587632C22semidirect
146. C22⋊Q8×D17C22semidirect
156. C2×#10587625C22semidirect
157. C2×#10587625C22semidirect
166. C2×Q8×Dic17C22semidirect
167. C2×C4×Dic34C22semidirect
168. C2×C4×Dic34C22semidirect
169. C2×#10587573C22semidirect
170. C2×#10587573C22semidirect
174. C2×D4×Dic17C22semidirect
181. C2×C4×C22⋊D17C22semidirect
182. C2×C4×C22⋊D17C22semidirect
190. C2×#10587612C22semidirect
193. C2×#10587563C22semidirect
194. C2×#10587563C22semidirect
195. C22×C4⋊Dic17C22semidirect
196. C22×#63225C22semidirect
200. C2×C4⋊C4×D17C22semidirect
203. C17×#562C22semidirect
204. C2×C17×#125C22semidirect
206. C2×C17×#124C22semidirect
209. C2×C17×#123C22semidirect
210. C2×C17×#123C22semidirect
212. C2×C17×C22⋊Q8C22semidirect
213. C2×C17×C22⋊Q8C22semidirect
214. C2×C17×C22⋊Q8C22semidirect
218. C2×C17×#121C22semidirect
256. C2×#63254C23semidirect
281. C22×Dic34C23semidirect
282. C17×#125C23semidirect
284. C17×#124C23semidirect
287. C17×#123C23semidirect
288. C17×#123C23semidirect
290. C17×C22⋊Q8C23semidirect
291. C17×C22⋊Q8C23semidirect
292. C17×C22⋊Q8C23semidirect
296. C17×#121C23semidirect
337. #10587632C23semidirect
338. Q8×Dic17C23semidirect
339. #10587630C23semidirect
340. #10587630C23semidirect
344. #10587625C23semidirect
345. #10587625C23semidirect
357. #10587621C23semidirect
358. #10587621C23semidirect
361. D4×Dic17C23semidirect
369. C4×C22⋊D17C23semidirect
370. C4×C22⋊D17C23semidirect
389. #10587612C23semidirect
402. C2×C4⋊Dic17C23semidirect
431. C2×#63225C23semidirect
446. #10587584C23semidirect
447. #10587584C23semidirect
451. #10587583C23semidirect
458. #10587582C23semidirect
459. #10587582C23semidirect
468. C4⋊C4×D17C23semidirect
469. #10587576C23semidirect
470. #10587576C23semidirect
471. #10587575C23semidirect
472. #10587575C23semidirect
473. #10587575C23semidirect
474. #10587575C23semidirect
475. #10587575C23semidirect
476. #10587575C23semidirect
477. #10587574C23semidirect
478. #10587574C23semidirect
479. #10587574C23semidirect
480. #10587574C23semidirect
481. #10587573C23semidirect
482. #10587573C23semidirect
488. #10587571C23semidirect
489. #10587571C23semidirect
498. #10587569C23semidirect
499. #10587569C23semidirect
514. #10587565C23semidirect
515. #10587565C23semidirect
516. #10587565C23semidirect
517. #10587565C23semidirect
520. #10587564C23semidirect
521. #10587564C23semidirect
522. #10587564C23semidirect
523. #10587564C23semidirect
524. #10587564C23semidirect
525. #10587564C23semidirect
526. #10587564C23semidirect
527. #10587564C23semidirect
529. #10587563C23semidirect
530. #10587563C23semidirect
533. C4×Dic34C23semidirect
534. C4×Dic34C23semidirect
916. C2×#562D17semidirect
1010. #562C2×D17semidirect
1063. C2×#125C2×D17semidirect
1074. C2×#124C2×D17semidirect
1093. C2×#123C2×D17semidirect
1094. C2×#123C2×D17semidirect
1124. C2×C22⋊Q8C2×D17semidirect
1125. C2×C22⋊Q8C2×D17semidirect
1126. C2×C22⋊Q8C2×D17semidirect
1145. C2×#121C2×D17semidirect
1191. C2×C17#3541semidirect
1289. #125C22×D17semidirect
1300. #124C22×D17semidirect
1317. #123C22×D17semidirect
1318. #123C22×D17semidirect
1347. C22⋊Q8C22×D17semidirect
1348. C22⋊Q8C22×D17semidirect
1349. C22⋊Q8C22×D17semidirect
1368. #121C22×D17semidirect
1514. C17C2×#3541semidirect
1955. C2#14543066direct (N × H)

Maximal subgroups

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

subgroupindex
#145430662
C2×#117635622
C2×#117635602
C2×#117635542
C2×#117635282
C2×#117635172
C2×#117635152
C2×#117635132
C2×#117635062
C2×#117635042
C2×#117634962
C2×#117634722
C2×#117634672
C2×#117634652
C2×#117634592
C2×#117634322
C2×#117634292
C2×#117634232
C2×#117634182
C2×#117634052
C2×#117634032
C2×#117633952
C2×#117633932
C2×#117633912
C2×#117633862
C2×#117633812
C2×#117633192
C2×#117633172
C2×C22⋊Q8×D172
C2×C17×#5622
C2×#354117