Finite Group Databasebeta

← C2×#14543367 #17941801

Subgroups — C2×#14543367 #17941801

Order 4352.

7354 conjugacy classes of subgroups.

The subgroup lattice has 2028 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543367C2132yesmaximal, direct product factor
2C2×#11763556C211yesmaximal, characteristic, complemented
3C2×#11763555C211yesmaximal, characteristic, complemented
4C2×#11763550C211yesmaximal, characteristic, complemented
5C2×#11763549C211yesmaximal, characteristic, complemented
6C2×#11763543C211yesmaximal, characteristic, complemented
7C2×#11763526C211yesmaximal, characteristic, complemented
8C2×#11763507C211yesmaximal, characteristic, complemented
9C2×#11763504C211yesmaximal, characteristic, complemented
10C2×#11763488C211yesmaximal, characteristic, complemented
11C2×#11763486C211yesmaximal, characteristic, complemented
12C2×#11763480C211yesmaximal, characteristic, complemented
13C2×#11763469C211yesmaximal, characteristic, complemented
14C2×#11763469C211yesmaximal, characteristic, complemented
15C2×#11763460C211yesmaximal, characteristic, complemented
16C2×#11763451C211yesmaximal, characteristic, complemented
17C2×#11763451C211yesmaximal, characteristic, complemented
18C2×#11763418C211yesmaximal, characteristic, complemented
19C2×#11763415C211yesmaximal, characteristic, complemented
20C2×#11763411C211yesmaximal, characteristic, complemented
21C2×#11763409C211yesmaximal, characteristic, complemented
22C2×#11763407C211yesmaximal, characteristic, complemented
23C2×#11763399C211yesmaximal, characteristic, complemented
24C2×#11763398C211yesmaximal, characteristic, complemented
25C2×#11763395C211yesmaximal, characteristic, complemented
26C2×#11763392C211yesmaximal, characteristic, complemented
27C2×#11763382C211yesmaximal, characteristic, complemented
28C2×#11763375C211yesmaximal, characteristic, complemented
29C2×#11763356C211yesmaximal, characteristic, complemented
30C2×#11763344C211yesmaximal, characteristic, complemented
31C2×#11763342C211yesmaximal, characteristic, complemented
32C2×C17×#539C211yesmaximal, characteristic, complemented
33C22×#63252C2211yescharacteristic
34C22×#63252C2211yescharacteristic
35C22×#63252C2211yescharacteristic
36C22×#63252C2211yescharacteristic, complemented
37C22×Q8×D17C2211yescharacteristic, complemented
38C22×D4×D17C2211yescharacteristic
39#11763556C22116yescomplemented
40#11763555C22116yescomplemented
41#11763550C22116yescomplemented
42#11763549C22116yescomplemented
43#11763543C22116yescomplemented
44#11763526C22116yescomplemented
45#11763507C22116yescomplemented
46#11763504C22116yescomplemented
47#11763488C22116yescomplemented
48#11763486C22116yescomplemented
49#11763480C22116yescomplemented
50#11763469C22116yescomplemented
51#11763469C22116yescomplemented
52#11763460C22116yescomplemented
53#11763451C22116yescomplemented
54#11763451C22116yescomplemented
55#11763418C22116yescomplemented
56#11763415C22116yescomplemented
57#11763411C22116yescomplemented
58#11763409C22116yescomplemented
59#11763407C22116yescomplemented
60#11763399C22116yescomplemented
61#11763398C22116yescomplemented
62#11763395C22116yescomplemented
63#11763392C22116yescomplemented
64#11763382C22116yescomplemented
65#11763375C22116yescomplemented
66#11763356C22116yescomplemented
67C2×#10587574C2211yescharacteristic, complemented
68C2×#10587574C2211yescharacteristic, complemented
69C2×#10587560C2211yescharacteristic, complemented
70C2×#10587626C2211yescharacteristic
71C2×#10587626C2211yescharacteristic
72C2×#10587626C2211yescharacteristic, complemented
73#11763344C22116yescomplemented
74#11763342C22116yescomplemented
75C2×#10587584C2211yescharacteristic
76C2×#10587584C2211yescharacteristic
77C2×#10587584C2211yescharacteristic
78C2×#10587584C2211yescharacteristic
79C2×#10587584C2211yescharacteristic, complemented
80C2×#10587584C2211yescharacteristic, complemented
81C2×#10587584C2211yescharacteristic, complemented
82C2×#10587562C2211yescharacteristic
83C2×#10587562C2211yescharacteristic, complemented
84C2×#10587565C2211yescharacteristic, complemented
85C2×#10587576C2211yescharacteristic, complemented
86C2×#10587575C2211yescharacteristic, complemented
87C2×#10587575C2211yescharacteristic, complemented
88C2×#10587575C2211yescharacteristic, complemented
89C2×#10587633C2211yescharacteristic
90C2×#10587633C2211yescharacteristic, complemented
91C2×#10587561C2211yescharacteristic
92C2×#10587571C2211yescharacteristic
93C2×#10587571C2211yescharacteristic
94C2×#10587571C2211yescharacteristic
95C2×#10587571C2211yescharacteristic
96C2×#10587571C2211yescharacteristic
97C2×#10587571C2211yescharacteristic, complemented
98C2×#10587571C2211yescharacteristic, complemented
99C2×#10587571C2211yescharacteristic, complemented
100C2×#10587571C2211yescharacteristic, complemented
101C2×#10587580C2211yescharacteristic
102C2×#10587580C2211yescharacteristic
103C2×#10587580C2211yescharacteristic
104C2×#10587580C2211yescharacteristic
105C2×#10587580C2211yescharacteristic, complemented
106C2×#10587580C2211yescharacteristic, complemented
107C2×#10587580C2211yescharacteristic, complemented
108C2×#10587580C2211yescharacteristic, complemented
109C2×#10587580C2211yescharacteristic, complemented
110C2×#10587580C2211yescharacteristic, complemented
111C2×#10587580C2211yescharacteristic, complemented
112C2×#10587580C2211yescharacteristic, complemented
113C2×#10587572C2211yescharacteristic, complemented
114C2×#10587615C2211yescharacteristic
115C2×#10587615C2211yescharacteristic, complemented
116C2×#10587569C2211yescharacteristic, complemented
117C2×#10587569C2211yescharacteristic, complemented
118C2×#10587569C2211yescharacteristic, complemented
119C2×#10587569C2211yescharacteristic, complemented
120C2×#10587621C2211yescharacteristic, complemented
121C2×#10587583C2211yescharacteristic, complemented
122C2×#10587583C2211yescharacteristic, complemented
123C2×#10587610C2211yescharacteristic, complemented
124C2×#10587582C2211yescharacteristic
125C2×#10587582C2211yescharacteristic
126C2×#10587582C2211yescharacteristic, complemented
127C2×#10587582C2211yescharacteristic, complemented
128C2×#10587582C2211yescharacteristic, complemented
129C2×#10587582C2211yescharacteristic, complemented
130C2×#10587564C2211yescharacteristic, complemented
131C2×#10587632C2211yescharacteristic, complemented
132C2×#10587581C2211yescharacteristic
133C2×#10587581C2211yescharacteristic
134C2×#10587581C2211yescharacteristic
135C2×#10587581C2211yescharacteristic
136C2×#10587581C2211yescharacteristic
137C2×#10587581C2211yescharacteristic
138C2×#10587581C2211yescharacteristic, complemented
139C2×#10587581C2211yescharacteristic, complemented
140C2×#10587581C2211yescharacteristic, complemented
141C2×#10587616C2211yescharacteristic
142C2×#10587616C2211yescharacteristic
143C2×#10587616C2211yescharacteristic, complemented
144C2×#10587616C2211yescharacteristic, complemented
145C2×#10587616C2211yescharacteristic, complemented
146C2×#10587570C2211yescharacteristic
147C2×#10587570C2211yescharacteristic
148C2×#10587570C2211yescharacteristic
149C2×#10587570C2211yescharacteristic, complemented
150C2×#10587570C2211yescharacteristic, complemented
151C2×#10587570C2211yescharacteristic, complemented
152C2×#10587570C2211yescharacteristic, complemented
153C2×#10587570C2211yescharacteristic, complemented
154C2×#10587570C2211yescharacteristic, complemented
155C2×#10587570C2211yescharacteristic, complemented
156C2×#10587625C2211yescharacteristic
157C2×#10587625C2211yescharacteristic
158C2×#10587625C2211yescharacteristic, complemented
159C2×#10587624C2211yescharacteristic
160C2×#10587624C2211yescharacteristic, complemented
161C2×#10587568C2211yescharacteristic
162C2×#10587568C2211yescharacteristic
163C2×#10587568C2211yescharacteristic
164C2×#10587568C2211yescharacteristic
165C2×#10587568C2211yescharacteristic
166C2×#10587568C2211yescharacteristic
167C2×#10587623C2211yescharacteristic
168C2×#10587623C2211yescharacteristic
169C2×C4×Dic34C2211yescharacteristic, complemented
170C2×#10587573C2211yescharacteristic, complemented
171C2×#10587573C2211yescharacteristic, complemented
172C2×#10587573C2211yescharacteristic, complemented
173C2×C4×D68C2211yescharacteristic, complemented
174C2×#10587579C2211yescharacteristic
175C2×#10587579C2211yescharacteristic
176C2×#10587579C2211yescharacteristic, complemented
177C2×#10587579C2211yescharacteristic, complemented
178C2×#10587579C2211yescharacteristic, complemented
179C2×#10587579C2211yescharacteristic, complemented
180C2×#10587579C2211yescharacteristic, complemented
181C2×C4×C22⋊D17C2211yescharacteristic, complemented
182C2×C4×C22⋊D17C2211yescharacteristic, complemented
183C2×C4×C22⋊D17C2211yescharacteristic, complemented
184C2×C4×C22⋊D17C2211yescharacteristic, complemented
185C2×C4×C22⋊D17C2211yescharacteristic, complemented
186C2×C4×C22⋊D17C2211yescharacteristic, complemented
187C2×#10587567C2211yescharacteristic
188C2×#10587567C2211yescharacteristic
189C2×#10587567C2211yescharacteristic, complemented
190C2×#10587567C2211yescharacteristic, complemented
191C2×#10587578C2211yescharacteristic
192C2×#10587578C2211yescharacteristic, complemented
193C2×#10587578C2211yescharacteristic, complemented
194C2×#10587558C2211yescharacteristic, complemented
195C2×#10587563C2211yescharacteristic, complemented
196C2×#10587563C2211yescharacteristic, complemented
197C2×C4⋊C4×D17C2211yescharacteristic, complemented
198C22×#63227C2211yescharacteristic
199C22×#63227C2211yescharacteristic
200C2×C22⋊C4×D17C2211yescharacteristic
201C2×C22⋊C4×D17C2211yescharacteristic
202C2×C42×D17C2211yescharacteristic, complemented
203C17×#539C22116yescomplemented
204C2×C17×#126C2211yescharacteristic, complemented
205C2×C17×#126C2211yescharacteristic, complemented
206C2×C17×#125C2211yescharacteristic, complemented
207C2×C17×#125C2211yescharacteristic, complemented
208C2×C17×#123C2211yescharacteristic
209C2×C17×#123C2211yescharacteristic
210C2×C17×#123C2211yescharacteristic, complemented
211C2×C17×#123C2211yescharacteristic, complemented
212C2×C17×C22⋊Q8C2211yescharacteristic, complemented
213C2×C17×C22⋊Q8C2211yescharacteristic, complemented
214C2×C17×C22⋊Q8C2211yescharacteristic, complemented
215C2×C17×#121C2211yescharacteristic
216C2×C4×D4×C17C2211yescharacteristic, complemented
217C2×C4×D4×C17C2211yescharacteristic, complemented
218C22×C4⋊C4×C17C2211yescharacteristic, complemented
219C24×D17C2311yescharacteristic
220C24×D17C2311yescharacteristic
221C22×Q8×C17C2311yescharacteristic
222C22×D4×C17C2311yescharacteristic
223C22×D4×C17C2311yescharacteristic
224C22×D4×C17C2311yescharacteristic
225C23×C4×C17C2311yescharacteristic
226C23×C4×C17C2311yescharacteristic
227C23×C4×C17C2311yescharacteristic
228C23×C4×C17C2311yescharacteristic
229C23×C4×C17C2311yescharacteristic
230C22×C22⋊D17C2311yescharacteristic
231C22×C22⋊D17C2311yescharacteristic
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
242C22×C22⋊D17C2311yescharacteristic
243C22×C22⋊D17C2311yescharacteristic
244C23×Dic17C2311yescharacteristic
245C23×Dic17C2311yescharacteristic
246C2×Q8×D17—44no—
247C2×Q8×D17C2318yescomplemented
248C2×D4×D17—44no—
249C2×D4×D17C2318yes—
250C2×#63252—44no—
251C2×#63252—44no—
252C2×#63252—44no—
253C2×#63252—44no—
254C2×#63252C2318yes—
255C2×#63252C2318yes—
256C2×#63252C2318yes—
257C2×#63252C2318yescomplemented
258C22×D68C2311yescharacteristic
259C22×D68C2311yescharacteristic
260C22×D68C2311yescharacteristic
261C22×D68C2311yescharacteristic
262C22×D68C2311yescharacteristic
263C22×D68C2311yescharacteristic
264C22×D68C2311yescharacteristic
265C22×D68C2311yescharacteristic
266C22×D68C2311yescharacteristic
267C22×D68C2311yescharacteristic
268C22×D68C2311yescharacteristic
269C22×D68C2311yescharacteristic
270C22×D68C2311yescharacteristic
271C22×C4×D17C2311yescharacteristic
272C22×C4×D17C2311yescharacteristic
273C22×C4×D17C2311yescharacteristic
274C22×C4×D17C2311yescharacteristic
275C22×C4×D17C2311yescharacteristic
276C22×C4×D17C2311yescharacteristic
277C22×C4×D17C2311yescharacteristic
278C22×C4×D17C2311yescharacteristic
279C22×C4×D17C2311yescharacteristic
280C22×C4×D17C2311yescharacteristic
281C22×C4×D17C2311yescharacteristic
282C22×C4×D17C2311yescharacteristic
283C22×C4×D17C2311yescharacteristic
284C22×C4×D17C2311yescharacteristic
285C22×Dic34C2311yescharacteristic
286C22×Dic34C2311yescharacteristic
287C22×Dic34C2311yescharacteristic
288C22×Dic34C2311yescharacteristic
289C22×Dic34C2311yescharacteristic
290C17×#126C2318yescomplemented
291C17×#126C2318yescomplemented
292C17×#125C2318yescomplemented
293C17×#125C2318yescomplemented
294C17×#123C2318yes—
295C17×#123C2318yes—
296C17×#123C2318yescomplemented
297C17×#123C2318yescomplemented
298C17×C22⋊Q8C2318yescomplemented
299C17×C22⋊Q8C2318yescomplemented
300C17×C22⋊Q8C2318yescomplemented
301C17×#121C2318yes—
302C4×D4×C17C2318yescomplemented
303C4×D4×C17C2318yescomplemented
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×C17C2311yescharacteristic
311C2×C4⋊C4×C17C2311yescharacteristic
312C2×C4⋊C4×C17C2311yescharacteristic
313C2×C4⋊C4×C17C2311yescharacteristic
314C2×C4⋊C4×C17C2311yescharacteristic
315C2×C4⋊C4×C17C2311yescharacteristic
316C2×C4⋊C4×C17C2311yescharacteristic
317C2×C4⋊C4×C17C2311yescharacteristic
318C2×C4⋊C4×C17C2318yescomplemented
319C2×C22⋊C4×C17C2311yescharacteristic
320C2×C22⋊C4×C17C2311yescharacteristic
321C2×C22⋊C4×C17C2311yescharacteristic
322C2×C22⋊C4×C17C2311yescharacteristic
323C2×C22⋊C4×C17C2311yescharacteristic
324C2×C22⋊C4×C17C2311yescharacteristic
325C2×C22⋊C4×C17C2311yescharacteristic
326C2×C22⋊C4×C17C2311yescharacteristic
327C2×C22⋊C4×C17C2311yescharacteristic
328C2×C22⋊C4×C17C2311yescharacteristic
329C2×C42×C17C2311yescharacteristic
330C2×C42×C17C2311yescharacteristic
331C2×C22⋊Dic17C2311yescharacteristic
332C2×C22⋊Dic17C2311yescharacteristic
333C2×C22⋊Dic17C2311yescharacteristic
334C2×C22⋊Dic17C2311yescharacteristic
335C2×C22⋊Dic17C2311yescharacteristic
336C2×C22⋊Dic17C2311yescharacteristic
337#10587633C2318yes—
338#10587633C2318yescomplemented
339#10587632C2318yescomplemented
340#10587626C2318yes—
341#10587626C2318yes—
342#10587626C2318yescomplemented
343#10587625C2318yes—
344#10587625C2318yes—
345#10587625C2318yescomplemented
346#10587624C2318yes—
347#10587624C2318yescomplemented
348#10587623C2318yes—
349#10587623C2318yes—
350#10587621C2318yescomplemented
351#10587616C2318yes—
352#10587616C2318yes—
353#10587616C2318yescomplemented
354#10587616C2318yescomplemented
355#10587616C2318yescomplemented
356#10587615C2318yes—
357#10587615C2318yescomplemented
358C4×C22⋊D17C2318yescomplemented
359C4×C22⋊D17C2318yescomplemented
360C4×C22⋊D17C2318yescomplemented
361C4×C22⋊D17C2318yescomplemented
362C4×C22⋊D17C2318yescomplemented
363C4×C22⋊D17C2318yescomplemented
364C2×#63227C2318yes—
365C2×#63227C2318yes—
366C2×#63227C2311yescharacteristic
367C2×#63227C2311yescharacteristic
368C2×#63227C2311yescharacteristic
369C2×#63227C2311yescharacteristic
370C2×#63227C2311yescharacteristic
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
389C2×#63227C2311yescharacteristic
390C2×#63227C2311yescharacteristic
391C2×#63227C2311yescharacteristic
392C2×#63227C2311yescharacteristic
393C2×#63227C2311yescharacteristic
394C2×#63227C2311yescharacteristic
395C2×#63227C2311yescharacteristic
396C2×#63227C2311yescharacteristic
397C2×#63227C2311yescharacteristic
398C2×C4⋊Dic17C2311yescharacteristic
399C2×C4⋊Dic17C2311yescharacteristic
400C2×C4⋊Dic17C2311yescharacteristic
401C2×C4⋊Dic17C2311yescharacteristic
402C2×C4⋊Dic17C2311yescharacteristic
403C2×C4⋊Dic17C2311yescharacteristic
404#10587610C2318yescomplemented
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×C4×Dic17C2311yescharacteristic
422C2×C4×Dic17C2311yescharacteristic
423C2×C4×Dic17C2311yescharacteristic
424C2×C4×Dic17C2311yescharacteristic
425C2×C4×Dic17C2311yescharacteristic
426C2×C4×Dic17C2311yescharacteristic
427C2×C4×Dic17C2311yescharacteristic
428C2×C4×Dic17C2311yescharacteristic
429C2×C4×Dic17C2311yescharacteristic
430C2×C4×Dic17C2311yescharacteristic
431#10587584C2318yes—
432#10587584C2318yes—
433#10587584C2318yes—
434#10587584C2318yes—
435#10587584C2318yescomplemented
436#10587584C2318yescomplemented
437#10587584C2318yescomplemented
438#10587583C2318yescomplemented
439#10587583C2318yescomplemented
440#10587582C2318yes—
441#10587582C2318yes—
442#10587582C2318yescomplemented
443#10587582C2318yescomplemented
444#10587582C2318yescomplemented
445#10587582C2318yescomplemented
446#10587581C2318yes—
447#10587581C2318yes—
448#10587581C2318yes—
449#10587581C2318yes—
450#10587581C2318yes—
451#10587581C2318yes—
452#10587581C2318yescomplemented
453#10587581C2318yescomplemented
454#10587581C2318yescomplemented
455#10587580C2318yes—
456#10587580C2318yes—
457#10587580C2318yes—
458#10587580C2318yes—
459#10587580C2318yescomplemented
460#10587580C2318yescomplemented
461#10587580C2318yescomplemented
462#10587580C2318yescomplemented
463#10587580C2318yescomplemented
464#10587580C2318yescomplemented
465#10587580C2318yescomplemented
466#10587580C2318yescomplemented
467#10587579C2318yes—
468#10587579C2318yes—
469#10587579C2318yescomplemented
470#10587579C2318yescomplemented
471#10587579C2318yescomplemented
472#10587579C2318yescomplemented
473#10587579C2318yescomplemented
474#10587578C2318yes—
475#10587578C2318yescomplemented
476#10587578C2318yescomplemented
477C4⋊C4×D17C2318yescomplemented
478#10587576C2318yescomplemented
479#10587575C2318yescomplemented
480#10587575C2318yescomplemented
481#10587575C2318yescomplemented
482#10587574C2318yescomplemented
483#10587574C2318yescomplemented
484#10587573C2318yescomplemented
485#10587573C2318yescomplemented
486#10587573C2318yescomplemented
487#10587572C2318yescomplemented
488#10587571C2318yes—
489#10587571C2318yes—
490#10587571C2318yes—
491#10587571C2318yes—
492#10587571C2318yes—
493#10587571C2318yescomplemented
494#10587571C2318yescomplemented
495#10587571C2318yescomplemented
496#10587571C2318yescomplemented
497#10587570C2318yes—
498#10587570C2318yes—
499#10587570C2318yes—
500#10587570C2318yescomplemented
501#10587570C2318yescomplemented
502#10587570C2318yescomplemented
503#10587570C2318yescomplemented
504#10587570C2318yescomplemented
505#10587570C2318yescomplemented
506#10587570C2318yescomplemented
507#10587569C2318yescomplemented
508#10587569C2318yescomplemented
509#10587569C2318yescomplemented
510#10587569C2318yescomplemented
511#10587568C2318yes—
512#10587568C2318yes—
513#10587568C2318yes—
514#10587568C2318yes—
515#10587568C2318yes—
516#10587568C2318yes—
517#10587567C2318yes—
518#10587567C2318yes—
519#10587567C2318yescomplemented
520#10587567C2318yescomplemented
521C22⋊C4×D17C2318yes—
522C22⋊C4×D17C2318yes—
523#10587565C2318yescomplemented
524#10587564C2318yescomplemented
525#10587563C2318yescomplemented
526#10587563C2318yescomplemented
527#10587562C2318yes—
528#10587562C2318yescomplemented
529#10587561C2318yes—
530#10587560C2318yescomplemented
531C4×D68C2318yescomplemented
532#10587558C2318yescomplemented
533C42×D17C2318yescomplemented
534C4×Dic34C2318yescomplemented
535C24×C17C2411yescharacteristic
536C24×C17C2411yescharacteristic
537C24×C17C2411yescharacteristic
538C23×D17—42no—
539C23×D17—42no—
540C23×D17—42no—
541C23×D17—42no—
542C23×D17—42no—
543C23×D17—42no—
544C23×D17C2411yescharacteristic
545C23×D17C2411yescharacteristic
546C23×D17C2411yescharacteristic
547C23×D17C2411yescharacteristic
548C23×D17C2411yescharacteristic
549C23×D17C2411yescharacteristic
550C23×D17C2414yes—
551C23×D17C2414yes—
552C2×Q8×C17—42no—
553C2×Q8×C17C2414yes—
554C2×D4×C17—42no—
555C2×D4×C17—42no—
556C2×D4×C17—42no—
557C2×D4×C17C2414yes—
558C2×D4×C17C2414yes—
559C2×D4×C17C2414yes—
560C22×C4×C17—42no—
561C22×C4×C17—42no—
562C22×C4×C17—42no—
563C22×C4×C17—42no—
564C22×C4×C17—42no—
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×C17C2411yescharacteristic
574C22×C4×C17C2411yescharacteristic
575C22×C4×C17C2411yescharacteristic
576C22×C4×C17C2411yescharacteristic
577C22×C4×C17C2414yes—
578C22×C4×C17C2414yes—
579C22×C4×C17C2414yes—
580C22×C4×C17C2414yes—
581C22×C4×C17C2414yes—
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⋊D17—42no—
592C2×C22⋊D17—42no—
593C2×C22⋊D17—42no—
594C2×C22⋊D17—42no—
595C2×C22⋊D17—42no—
596C2×C22⋊D17C2414yes—
597C2×C22⋊D17C2414yes—
598C2×C22⋊D17C2414yes—
599C2×C22⋊D17C2414yes—
600C2×C22⋊D17C2414yes—
601C2×C22⋊D17C2414yes—
602C2×C22⋊D17C2414yes—
603C2×C22⋊D17C2414yes—
604C2×C22⋊D17C2414yes—
605C2×C22⋊D17C2414yes—
606C2×C22⋊D17C2414yes—
607C2×C22⋊D17C2414yes—
608C2×C22⋊D17C2414yes—
609C2×C22⋊D17C2414yes—
610C22×Dic17—42no—
611C22×Dic17—42no—
612C22×Dic17C2411yescharacteristic
613C22×Dic17C2411yescharacteristic
614C22×Dic17C2411yescharacteristic
615C22×Dic17C2411yescharacteristic
616C22×Dic17C2411yescharacteristic
617C22×Dic17C2411yescharacteristic
618C22×Dic17C2411yescharacteristic
619C22×Dic17C2411yescharacteristic
620C22×Dic17C2411yescharacteristic
621C22×Dic17C2414yes—
622C22×Dic17C2414yes—
623C22×Dic17C2411yescharacteristic
624Q8×D17—416no—
625D4×D17—416no—
626#63252—416no—
627#63252—416no—
628#63252—416no—
629#63252—416no—
630C2×D68—42no—
631C2×D68—42no—
632C2×D68—42no—
633C2×D68—42no—
634C2×D68—42no—
635C2×D68—42no—
636C2×D68—42no—
637C2×D68—42no—
638C2×D68—42no—
639C2×D68—42no—
640C2×D68—42no—
641C2×D68—42no—
642C2×D68—42no—
643C2×D68C2414yes—
644C2×D68C2414yes—
645C2×D68C2414yes—
646C2×D68C2414yes—
647C2×D68C2414yes—
648C2×D68C2414yes—
649C2×D68C2414yes—
650C2×D68C2414yes—
651C2×D68C2414yes—
652C2×D68C2414yes—
653C2×D68C2414yes—
654C2×D68C2414yes—
655C2×D68C2414yes—
656C2×C4×D17—24no—
657C2×C4×D17—24no—
658C2×C4×D17—24no—
659C2×C4×D17—42no—
660C2×C4×D17—42no—
661C2×C4×D17—42no—
662C2×C4×D17—42no—
663C2×C4×D17—42no—
664C2×C4×D17—42no—
665C2×C4×D17—42no—
666C2×C4×D17—42no—
667C2×C4×D17—42no—
668C2×C4×D17—42no—
669C2×C4×D17—42no—
670C2×C4×D17C2414yes—
671C2×C4×D17C2414yes—
672C2×C4×D17C2414yes—
673C2×C4×D17C2414yes—
674C2×C4×D17C2414yes—
675C2×C4×D17C2414yes—
676C2×C4×D17C2414yes—
677C2×C4×D17C2414yes—
678C2×C4×D17C2414yes—
679C2×C4×D17C2414yes—
680C2×C4×D17C2414yes—
681C2×C4×D17C2414yes—
682C2×C4×D17C2414yes—
683C2×C4×D17C2414yes—
684C2×Dic34—24no—
685C2×Dic34—24no—
686C2×Dic34—24no—
687C2×Dic34—42no—
688C2×Dic34—42no—
689C2×Dic34C2414yes—
690C2×Dic34C2414yes—
691C2×Dic34C2414yes—
692C2×Dic34C2414yes—
693C2×Dic34C2414yes—
694C4⋊C4×C17C2414yes—
695C4⋊C4×C17C2414yes—
696C4⋊C4×C17C2414yes—
697C4⋊C4×C17C2414yes—
698C4⋊C4×C17C2414yes—
699C4⋊C4×C17C2414yes—
700C4⋊C4×C17C2414yes—
701C4⋊C4×C17C2414yes—
702C4⋊C4×C17C2414yes—
703C4⋊C4×C17C2414yes—
704C4⋊C4×C17C2414yes—
705C4⋊C4×C17C2414yes—
706C4⋊C4×C17C2414yes—
707C4⋊C4×C17C2414yes—
708C22⋊C4×C17C2414yes—
709C22⋊C4×C17C2414yes—
710C22⋊C4×C17C2414yes—
711C22⋊C4×C17C2414yes—
712C22⋊C4×C17C2414yes—
713C22⋊C4×C17C2414yes—
714C22⋊C4×C17C2414yes—
715C22⋊C4×C17C2414yes—
716C22⋊C4×C17C2414yes—
717C22⋊C4×C17C2414yes—
718C42×C17C2414yes—
719C42×C17C2414yes—
720C22⋊Dic17C2414yes—
721C22⋊Dic17C2414yes—
722C22⋊Dic17C2414yes—
723C22⋊Dic17C2414yes—
724C22⋊Dic17C2414yes—
725C22⋊Dic17C2414yes—
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—
741#63227C2414yes—
742#63227C2414yes—
743#63227C2414yes—
744#63227C2414yes—
745#63227C2414yes—
746#63227C2414yes—
747#63227C2414yes—
748#63227C2414yes—
749#63227C2414yes—
750#63227C2414yes—
751#63227C2414yes—
752#63227C2414yes—
753#63227C2414yes—
754#63227C2414yes—
755#63227C2414yes—
756#63227C2414yes—
757#63227C2414yes—
758C4⋊Dic17C2414yes—
759C4⋊Dic17C2414yes—
760C4⋊Dic17C2414yes—
761C4⋊Dic17C2414yes—
762C4⋊Dic17C2414yes—
763C4⋊Dic17C2414yes—
764#63225C2414yes—
765#63225C2414yes—
766#63225C2414yes—
767#63225C2414yes—
768#63225C2414yes—
769#63225C2414yes—
770#63225C2414yes—
771#63225C2414yes—
772#63225C2414yes—
773#63225C2414yes—
774#63225C2414yes—
775#63225C2414yes—
776#63225C2414yes—
777#63225C2414yes—
778#63225C2414yes—
779#63225C2414yes—
780C4×Dic17C2414yes—
781C4×Dic17C2414yes—
782C4×Dic17C2414yes—
783C4×Dic17C2414yes—
784C4×Dic17C2414yes—
785C4×Dic17C2414yes—
786C4×Dic17C2414yes—
787C4×Dic17C2414yes—
788C4×Dic17C2414yes—
789C4×Dic17C2414yes—
790C2×#3562—171nomaximal, Sylow
791C23×C17—22no—
792C23×C17—22no—
793C23×C17—22no—
794C23×C17—22no—
795C23×C17—22no—
796C23×C17—22no—
797C23×C17—22no—
798C23×C17—22no—
799C23×C17—22no—
800C23×C17C2512yes—
801C23×C17C2512yes—
802C23×C17C2512yes—
803C23×C17C2511yescharacteristic
804C22×D17—22no—
805C22×D17—22no—
806C22×D17—22no—
807C22×D17—22no—
808C22×D17—22no—
809C22×D17—22no—
810C22×D17—22no—
811C22×D17—22no—
812C22×D17—22no—
813C22×D17—22no—
814C22×D17—22no—
815C22×D17—22no—
816C22×D17—22no—
817C22×D17—22no—
818C22×D17—22no—
819C22×D17—22no—
820C22×D17—22no—
821C22×D17—22no—
822C22×D17—44no—
823C22×D17—44no—
824C22×D17—44no—
825C22×D17—44no—
826C22×D17—44no—
827C22×D17—44no—
828C22×D17—88no—
829C22×D17—88no—
830C22×D17C2512yes—
831C22×D17C2512yes—
832C22×D17C2512yes—
833C22×D17C2512yes—
834C22×D17C2512yes—
835C22×D17C2512yes—
836Q8×C17—44no—
837D4×C17—44no—
838D4×C17—44no—
839D4×C17—44no—
840C2×C4×C17—22no—
841C2×C4×C17—22no—
842C2×C4×C17—22no—
843C2×C4×C17—22no—
844C2×C4×C17—22no—
845C2×C4×C17—22no—
846C2×C4×C17—22no—
847C2×C4×C17—22no—
848C2×C4×C17—22no—
849C2×C4×C17—22no—
850C2×C4×C17—22no—
851C2×C4×C17—22no—
852C2×C4×C17—44no—
853C2×C4×C17—44no—
854C2×C4×C17—44no—
855C2×C4×C17—44no—
856C2×C4×C17—44no—
857C2×C4×C17C2512yes—
858C2×C4×C17C2512yes—
859C2×C4×C17C2512yes—
860C2×C4×C17C2512yes—
861C2×C4×C17C2512yes—
862C2×C4×C17C2512yes—
863C2×C4×C17C2512yes—
864C2×C4×C17C2512yes—
865C2×C4×C17C2512yes—
866C2×C4×C17C2512yes—
867C2×C4×C17C2512yes—
868C2×C4×C17C2512yes—
869C22⋊D17—28no—
870C22⋊D17—28no—
871C22⋊D17—28no—
872C22⋊D17—44no—
873C22⋊D17—44no—
874C22⋊D17—44no—
875C22⋊D17—44no—
876C22⋊D17—44no—
877C22⋊D17—44no—
878C22⋊D17—44no—
879C22⋊D17—44no—
880C22⋊D17—44no—
881C22⋊D17—44no—
882C22⋊D17—44no—
883C2×Dic17—22no—
884C2×Dic17—22no—
885C2×Dic17—22no—
886C2×Dic17—22no—
887C2×Dic17—22no—
888C2×Dic17—22no—
889C2×Dic17—22no—
890C2×Dic17—22no—
891C2×Dic17—22no—
892C2×Dic17—44no—
893C2×Dic17—44no—
894C2×Dic17H(5,𝔽2)14yes—
895C2×Dic17C2512yes—
896C2×Dic17C2512yes—
897C2×Dic17C2512yes—
898C2×Dic17C2512yes—
899C2×Dic17C2512yes—
900C2×Dic17C2512yes—
901C2×Dic17C2512yes—
902C2×Dic17C2512yes—
903C2×Dic17C2512yes—
904C2×Dic17C2512yes—
905D68—44no—
906D68—44no—
907D68—44no—
908D68—44no—
909D68—44no—
910D68—44no—
911D68—44no—
912D68—44no—
913D68—44no—
914D68—44no—
915D68—44no—
916D68—44no—
917D68—44no—
918C4×D17—28no—
919C4×D17—28no—
920C4×D17—28no—
921C4×D17—44no—
922C4×D17—44no—
923C4×D17—44no—
924C4×D17—44no—
925C4×D17—44no—
926C4×D17—44no—
927C4×D17—44no—
928C4×D17—44no—
929C4×D17—44no—
930C4×D17—44no—
931C4×D17—44no—
932Dic34—28no—
933Dic34—28no—
934Dic34—28no—
935Dic34—44no—
936Dic34—44no—
937#3562—1732no—
938C2×#562—171no—
939C2×#562—171no—
940C2×#560—171no—
941C2×#560—171no—
942C2×#559—171no—
943C2×#556—171no—
944C2×#553—171no—
945C2×#553—171no—
946C2×#551—171no—
947C2×#551—171no—
948C2×#550—171no—
949C2×#548—171no—
950C2×#548—171no—
951C2×#547—171no—
952C2×#546—171no—
953C2×#546—171no—
954C2×#541—171no—
955C2×#540—171no—
956C2×#540—171no—
957C2×#540—171no—
958C2×#539—171no—
959C2×#539D1711yescharacteristic, complemented
960C2×#538—171no—
961C2×#538—171no—
962C2×#538—171no—
963C2×#538—171no—
964C2×#536—171no—
965C2×#535—171no—
966C2×#532—171no—
967C2×#529—171no—
968C2×#529—171no—
969C22×C17—22no—
970C22×C17—22no—
971C22×C17—22no—
972C22×C17—22no—
973C22×C17—22no—
974C22×C17—22no—
975C22×C17—22no—
976C22×C17—22no—
977C22×C17—22no—
978C22×C17—44no—
979C22×C17—44no—
980C22×C17—44no—
981C22×C17C2×H(5,𝔽2)12yes—
982C22×C17#58512yes—
983C22×C17#58512yes—
984C22×C17C2611yescharacteristic
985C2×D17—22no—
986C2×D17—22no—
987C2×D17—22no—
988C2×D17—22no—
989C2×D17—22no—
990C2×D17—22no—
991C2×D17—22no—
992C2×D17—22no—
993C2×D17—22no—
994C2×D17—22no—
995C2×D17—22no—
996C2×D17—22no—
997C2×D17—22no—
998C2×D17—22no—
999C2×D17—22no—
1000C2×D17—22no—
1001C2×D17—22no—
1002C2×D17—22no—
1003C2×D17—44no—
1004C2×D17—44no—
1005C2×D17—44no—
1006C2×D17—44no—
1007C2×D17—44no—
1008C2×D17—44no—
1009C2×D17—88no—
1010C2×D17—88no—
1011C4×C17—22no—
1012C4×C17—22no—
1013C4×C17—22no—
1014C4×C17—22no—
1015C4×C17—22no—
1016C4×C17—22no—
1017C4×C17—22no—
1018C4×C17—22no—
1019C4×C17—22no—
1020C4×C17—22no—
1021C4×C17—22no—
1022C4×C17—22no—
1023Dic17—22no—
1024Dic17—22no—
1025Dic17—22no—
1026Dic17—22no—
1027Dic17—22no—
1028Dic17—22no—
1029Dic17—22no—
1030Dic17—22no—
1031Dic17—22no—
1032Dic17C2×H(5,𝔽2)14yes—
1033C22×#41—171no—
1034C22×#41—171no—
1035C22×#41—171no—
1036C22×#41—171no—
1037C23×Q8—171no—
1038C23×D4—171no—
1039#562—1716no—
1040#562—1716no—
1041#560—1716no—
1042#560—1716no—
1043#559—1716no—
1044#556—1716no—
1045#553—1716no—
1046#553—1716no—
1047#551—1716no—
1048#551—1716no—
1049#550—1716no—
1050#548—1716no—
1051#548—1716no—
1052#547—1716no—
1053#546—1716no—
1054#546—1716no—
1055#541—1716no—
1056#540—1716no—
1057#540—1716no—
1058#540—1716no—
1059#539—1716no—
1060#539C2×D17116yescomplemented
1061#538—1716no—
1062#538—1716no—
1063#538—1716no—
1064#538—1716no—
1065#536—1716no—
1066#535—1716no—
1067#532—1716no—
1068C2×C4⋊Q8—171no—
1069C2×C4⋊Q8—171no—
1070C2×#127—171no—
1071C2×#127—171no—
1072C2×#127—171no—
1073C2×#127—171no—
1074#529—1716no—
1075#529—1716no—
1076C2×#126—171no—
1077C2×#126—171no—
1078C2×#126—171no—
1079C2×#126—171no—
1080C2×#126—171no—
1081C2×#126—171no—
1082C2×#126—171no—
1083C2×#126—171no—
1084C2×#126—171no—
1085C2×#126—171no—
1086C2×#126C2×D1711yescharacteristic, complemented
1087C2×#126C2×D1711yescharacteristic, complemented
1088C2×#125—171no—
1089C2×#125—171no—
1090C2×#125—171no—
1091C2×#125—171no—
1092C2×#125C2×D1711yescharacteristic, complemented
1093C2×#125C2×D1711yescharacteristic, complemented
1094C2×#124—171no—
1095C2×#124—171no—
1096C2×#124—171no—
1097C2×#124—171no—
1098C2×#124—171no—
1099C2×#124—171no—
1100C2×#124—171no—
1101C2×#124—171no—
1102C2×#124—171no—
1103C2×#124—171no—
1104C2×#124—171no—
1105C2×#124—171no—
1106C2×#123—171no—
1107C2×#123—171no—
1108C2×#123—171no—
1109C2×#123—171no—
1110C2×#123—171no—
1111C2×#123—171no—
1112C2×#123—171no—
1113C2×#123—171no—
1114C2×#123—171no—
1115C2×#123—171no—
1116C2×#123—171no—
1117C2×#123—171no—
1118C2×#123—171no—
1119C2×#123—171no—
1120C2×#123—171no—
1121C2×#123—171no—
1122C2×#123—171no—
1123C2×#123—171no—
1124C2×#123—171no—
1125C2×#123—171no—
1126C2×#123C2×D1711yescharacteristic
1127C2×#123C2×D1711yescharacteristic
1128C2×#123C2×D1711yescharacteristic, complemented
1129C2×#123C2×D1711yescharacteristic, complemented
1130C2×C22⋊Q8—171no—
1131C2×C22⋊Q8—171no—
1132C2×C22⋊Q8—171no—
1133C2×C22⋊Q8—171no—
1134C2×C22⋊Q8—171no—
1135C2×C22⋊Q8—171no—
1136C2×C22⋊Q8—171no—
1137C2×C22⋊Q8—171no—
1138C2×C22⋊Q8—171no—
1139C2×C22⋊Q8—171no—
1140C2×C22⋊Q8—171no—
1141C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1142C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1143C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1144C2×#121—171no—
1145C2×#121—171no—
1146C2×#121—171no—
1147C2×#121—171no—
1148C2×#121—171no—
1149C2×#121—171no—
1150C2×#121—171no—
1151C2×#121—171no—
1152C2×#121—171no—
1153C2×#121—171no—
1154C2×#121—171no—
1155C2×#121—171no—
1156C2×#121—171no—
1157C2×#121—171no—
1158C2×#121—171no—
1159C2×#121—171no—
1160C2×#121—171no—
1161C2×#121—171no—
1162C2×#121—171no—
1163C2×#121—171no—
1164C2×#121—171no—
1165C2×#121—171no—
1166C2×#121—171no—
1167C2×#121—171no—
1168C2×#121—171no—
1169C2×#121—171no—
1170C2×#121—171no—
1171C2×#121—171no—
1172C2×#121—171no—
1173C2×#121C2×D1711yescharacteristic
1174C2×#120—171no—
1175C2×#120—171no—
1176C2×#120—171no—
1177C2×#120—171no—
1178C2×#120—171no—
1179C2×#120—171no—
1180C2×#120—171no—
1181C2×#120—171no—
1182C2×C4×Q8—171no—
1183C2×C4×Q8—171no—
1184C2×C4×Q8—171no—
1185C2×C4×Q8—171no—
1186C2×C4×D4—171no—
1187C2×C4×D4—171no—
1188C2×C4×D4—171no—
1189C2×C4×D4—171no—
1190C2×C4×D4—171no—
1191C2×C4×D4—171no—
1192C2×C4×D4—171no—
1193C2×C4×D4—171no—
1194C2×C4×D4—171no—
1195C2×C4×D4—171no—
1196C2×C4×D4—171no—
1197C2×C4×D4—171no—
1198C2×C4×D4—171no—
1199C2×C4×D4—171no—
1200C2×C4×D4—171no—
1201C2×C4×D4—171no—
1202C2×C4×D4—171no—
1203C2×C4×D4—171no—
1204C2×C4×D4C2×D1711yescharacteristic, complemented
1205C2×C4×D4C2×D1711yescharacteristic, complemented
1206C2×#117—171no—
1207C2×#117—171no—
1208C2×#117—171no—
1209C2×#117—171no—
1210C2×#117—171no—
1211C2×#117—171no—
1212C22×C4⋊C4—171no—
1213C22×C4⋊C4C2×D1711yescharacteristic, complemented
1214C22×C22⋊C4—171no—
1215C22×C22⋊C4—171no—
1216C22×C22⋊C4—171no—
1217C22×C22⋊C4—171no—
1218C22×C42—171no—
1219C2×C17—42no—
1220C2×C17—42no—
1221C2×C17—42no—
1222C2×C17#356214yescomplemented
1223C2×C17C22×H(5,𝔽2)11yescharacteristic
1224C2×C17C2×#58511yescharacteristic
1225C2×C17C2×#58511yescharacteristic
1226D17—42no—
1227D17—42no—
1228D17—42no—
1229D17—42no—
1230D17—42no—
1231D17—42no—
1232C25—171no—
1233C25—171no—
1234C2×#41—178no—
1235C2×#41—178no—
1236C2×#41—178no—
1237C2×#41—178no—
1238C2×#41—684no—
1239C2×#41—684no—
1240C2×#41—684no—
1241C2×#41—684no—
1242C22×Q8—178no—
1243C22×Q8—171no—
1244C22×Q8—171no—
1245C22×Q8—171no—
1246C22×Q8—171no—
1247C22×Q8—171no—
1248C22×Q8—684no—
1249C22×Q8C22×D1711yescharacteristic
1250C22×D4—171no—
1251C22×D4—171no—
1252C22×D4—171no—
1253C22×D4—171no—
1254C22×D4—171no—
1255C22×D4—171no—
1256C22×D4—171no—
1257C22×D4—171no—
1258C22×D4—171no—
1259C22×D4—171no—
1260C22×D4—171no—
1261C22×D4—171no—
1262C22×D4—171no—
1263C22×D4—171no—
1264C22×D4—178no—
1265C22×D4—171no—
1266C22×D4—171no—
1267C22×D4—171no—
1268C22×D4—171no—
1269C22×D4—171no—
1270C22×D4—171no—
1271C22×D4—171no—
1272C22×D4—171no—
1273C22×D4—171no—
1274C22×D4—171no—
1275C22×D4—171no—
1276C22×D4—171no—
1277C22×D4—171no—
1278C22×D4—684no—
1279C22×D4C22×D1711yescharacteristic
1280C22×D4C22×D1711yescharacteristic
1281C22×D4C22×D1711yescharacteristic
1282C23×C4—171no—
1283C23×C4—171no—
1284C23×C4—171no—
1285C23×C4—171no—
1286C23×C4—171no—
1287C23×C4—171no—
1288C23×C4—171no—
1289C23×C4—171no—
1290C23×C4—171no—
1291C23×C4—171no—
1292C23×C4—171no—
1293C23×C4—171no—
1294C23×C4—171no—
1295C23×C4—171no—
1296C23×C4—171no—
1297C23×C4—171no—
1298C23×C4C22×D1711yescharacteristic
1299C23×C4C22×D1711yescharacteristic
1300C23×C4C22×D1711yescharacteristic
1301C23×C4C22×D1711yescharacteristic
1302C23×C4C22×D1711yescharacteristic
1303C4⋊Q8—178no—
1304C4⋊Q8—178no—
1305#127—178no—
1306#127—178no—
1307#127—178no—
1308#127—178no—
1309#126—178no—
1310#126—178no—
1311#126—178no—
1312#126—178no—
1313#126—178no—
1314#126—178no—
1315#126—178no—
1316#126—178no—
1317#126—178no—
1318#126—178no—
1319#126C22×D1718yescomplemented
1320#126C22×D1718yescomplemented
1321#125—178no—
1322#125—178no—
1323#125—178no—
1324#125—178no—
1325#125C22×D1718yescomplemented
1326#125C22×D1718yescomplemented
1327#124—178no—
1328#124—178no—
1329#124—178no—
1330#124—178no—
1331#124—178no—
1332#124—178no—
1333#124—178no—
1334#124—178no—
1335#124—178no—
1336#124—178no—
1337#124—178no—
1338#124—178no—
1339#123—178no—
1340#123—178no—
1341#123—178no—
1342#123—178no—
1343#123—178no—
1344#123—178no—
1345#123—178no—
1346#123—178no—
1347#123—178no—
1348#123—178no—
1349#123—178no—
1350#123—178no—
1351#123—178no—
1352#123—178no—
1353#123—178no—
1354#123—178no—
1355#123—178no—
1356#123—178no—
1357#123—178no—
1358#123—178no—
1359#123C22×D1718yes—
1360#123C22×D1718yes—
1361#123C22×D1718yescomplemented
1362#123C22×D1718yescomplemented
1363C22⋊Q8—178no—
1364C22⋊Q8—178no—
1365C22⋊Q8—178no—
1366C22⋊Q8—178no—
1367C22⋊Q8—178no—
1368C22⋊Q8—178no—
1369C22⋊Q8—178no—
1370C22⋊Q8—178no—
1371C22⋊Q8—178no—
1372C22⋊Q8—178no—
1373C22⋊Q8—178no—
1374C22⋊Q8C22×D1718yescomplemented
1375C22⋊Q8C22×D1718yescomplemented
1376C22⋊Q8C22×D1718yescomplemented
1377#121—178no—
1378#121—178no—
1379#121—178no—
1380#121—178no—
1381#121—178no—
1382#121—178no—
1383#121—178no—
1384#121—178no—
1385#121—178no—
1386#121—178no—
1387#121—178no—
1388#121—178no—
1389#121—178no—
1390#121—178no—
1391#121—178no—
1392#121—178no—
1393#121—178no—
1394#121—178no—
1395#121—178no—
1396#121—178no—
1397#121—178no—
1398#121—178no—
1399#121—178no—
1400#121—178no—
1401#121—178no—
1402#121—178no—
1403#121—178no—
1404#121—178no—
1405#121—178no—
1406#121C22×D1718yes—
1407#120—178no—
1408#120—178no—
1409#120—178no—
1410#120—178no—
1411#120—178no—
1412#120—178no—
1413#120—178no—
1414#120—178no—
1415C4×Q8—178no—
1416C4×Q8—178no—
1417C4×Q8—178no—
1418C4×Q8—178no—
1419C4×D4—178no—
1420C4×D4—178no—
1421C4×D4—178no—
1422C4×D4—178no—
1423C4×D4—178no—
1424C4×D4—178no—
1425C4×D4—178no—
1426C4×D4—178no—
1427C4×D4—178no—
1428C4×D4—178no—
1429C4×D4—178no—
1430C4×D4—178no—
1431C4×D4—178no—
1432C4×D4—178no—
1433C4×D4—178no—
1434C4×D4—178no—
1435C4×D4—178no—
1436C4×D4—178no—
1437C4×D4C22×D1718yescomplemented
1438C4×D4C22×D1718yescomplemented
1439#117—178no—
1440#117—178no—
1441#117—178no—
1442#117—178no—
1443#117—178no—
1444#117—178no—
1445C2×C4⋊C4—171no—
1446C2×C4⋊C4—171no—
1447C2×C4⋊C4—171no—
1448C2×C4⋊C4—171no—
1449C2×C4⋊C4—171no—
1450C2×C4⋊C4—171no—
1451C2×C4⋊C4—171no—
1452C2×C4⋊C4—171no—
1453C2×C4⋊C4—171no—
1454C2×C4⋊C4—171no—
1455C2×C4⋊C4—171no—
1456C2×C4⋊C4—171no—
1457C2×C4⋊C4—171no—
1458C2×C4⋊C4—171no—
1459C2×C4⋊C4—171no—
1460C2×C4⋊C4—171no—
1461C2×C4⋊C4—171no—
1462C2×C4⋊C4—171no—
1463C2×C4⋊C4—171no—
1464C2×C4⋊C4—171no—
1465C2×C4⋊C4—171no—
1466C2×C4⋊C4—171no—
1467C2×C4⋊C4—178no—
1468C2×C4⋊C4C22×D1711yescharacteristic
1469C2×C4⋊C4C22×D1711yescharacteristic
1470C2×C4⋊C4C22×D1711yescharacteristic
1471C2×C4⋊C4C22×D1711yescharacteristic
1472C2×C4⋊C4C22×D1711yescharacteristic
1473C2×C4⋊C4C22×D1711yescharacteristic
1474C2×C4⋊C4C22×D1711yescharacteristic
1475C2×C4⋊C4C22×D1711yescharacteristic
1476C2×C4⋊C4C22×D1711yescharacteristic
1477C2×C4⋊C4C22×D1711yescharacteristic
1478C2×C4⋊C4C22×D1711yescharacteristic
1479C2×C4⋊C4C22×D1711yescharacteristic
1480C2×C4⋊C4C22×D1711yescharacteristic
1481C2×C4⋊C4C22×D1711yescharacteristic
1482C2×C4⋊C4C22×D1718yescomplemented
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—171no—
1495C2×C22⋊C4—171no—
1496C2×C22⋊C4—171no—
1497C2×C22⋊C4—171no—
1498C2×C22⋊C4—171no—
1499C2×C22⋊C4—178no—
1500C2×C22⋊C4—178no—
1501C2×C22⋊C4—171no—
1502C2×C22⋊C4—171no—
1503C2×C22⋊C4—171no—
1504C2×C22⋊C4—171no—
1505C2×C22⋊C4—171no—
1506C2×C22⋊C4—171no—
1507C2×C22⋊C4—171no—
1508C2×C22⋊C4—171no—
1509C2×C22⋊C4—171no—
1510C2×C22⋊C4—171no—
1511C2×C22⋊C4—171no—
1512C2×C22⋊C4—171no—
1513C2×C22⋊C4—171no—
1514C2×C22⋊C4—171no—
1515C2×C22⋊C4—171no—
1516C2×C22⋊C4—171no—
1517C2×C22⋊C4—171no—
1518C2×C22⋊C4—171no—
1519C2×C22⋊C4—171no—
1520C2×C22⋊C4—171no—
1521C2×C22⋊C4—171no—
1522C2×C22⋊C4—171no—
1523C2×C22⋊C4—178no—
1524C2×C22⋊C4—178no—
1525C2×C22⋊C4C22×D1711yescharacteristic
1526C2×C22⋊C4C22×D1711yescharacteristic
1527C2×C22⋊C4C22×D1711yescharacteristic
1528C2×C22⋊C4C22×D1711yescharacteristic
1529C2×C22⋊C4C22×D1711yescharacteristic
1530C2×C22⋊C4C22×D1711yescharacteristic
1531C2×C22⋊C4C22×D1711yescharacteristic
1532C2×C22⋊C4C22×D1711yescharacteristic
1533C2×C22⋊C4C22×D1711yescharacteristic
1534C2×C22⋊C4C22×D1711yescharacteristic
1535C2×C42—171no—
1536C2×C42—171no—
1537C2×C42—171no—
1538C2×C42—171no—
1539C2×C42—171no—
1540C2×C42—171no—
1541C2×C42—171no—
1542C2×C42—171no—
1543C2×C42—171no—
1544C2×C42—171no—
1545C2×C42—178no—
1546C2×C42C22×D1711yescharacteristic
1547C2×C42C22×D1711yescharacteristic
1548C17C2×#356211yescharacteristic, complemented, Sylow
1549C24—171no—
1550C24—171no—
1551C24—171no—
1552C24—171no—
1553C24—171no—
1554C24—171no—
1555C24—174no—
1556C24—174no—
1557C24—682no—
1558C24—682no—
1559C24—682no—
1560C24—682no—
1561C24—682no—
1562C24—682no—
1563C24C23×D1711yescharacteristic
1564C24C23×D1711yescharacteristic
1565C24C23×D1711yescharacteristic
1566#41—6816no—
1567#41—6816no—
1568#41—6816no—
1569#41—6816no—
1570C2×Q8—42no—
1571C2×Q8—174no—
1572C2×Q8—174no—
1573C2×Q8—174no—
1574C2×Q8—174no—
1575C2×Q8—174no—
1576C2×Q8—344no—
1577C2×Q8—344no—
1578C2×Q8—344no—
1579C2×Q8—682no—
1580C2×Q8—682no—
1581C2×Q8—6816no—
1582C2×Q8C23×D1714yes—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—174no—
1587C2×D4—174no—
1588C2×D4—174no—
1589C2×D4—174no—
1590C2×D4—174no—
1591C2×D4—174no—
1592C2×D4—174no—
1593C2×D4—174no—
1594C2×D4—174no—
1595C2×D4—174no—
1596C2×D4—174no—
1597C2×D4—174no—
1598C2×D4—174no—
1599C2×D4—174no—
1600C2×D4—174no—
1601C2×D4—174no—
1602C2×D4—174no—
1603C2×D4—174no—
1604C2×D4—174no—
1605C2×D4—174no—
1606C2×D4—174no—
1607C2×D4—174no—
1608C2×D4—174no—
1609C2×D4—174no—
1610C2×D4—174no—
1611C2×D4—174no—
1612C2×D4—174no—
1613C2×D4—344no—
1614C2×D4—344no—
1615C2×D4—344no—
1616C2×D4—682no—
1617C2×D4—682no—
1618C2×D4—682no—
1619C2×D4—682no—
1620C2×D4—682no—
1621C2×D4—682no—
1622C2×D4—682no—
1623C2×D4—682no—
1624C2×D4—682no—
1625C2×D4—682no—
1626C2×D4—682no—
1627C2×D4—682no—
1628C2×D4—682no—
1629C2×D4—6816no—
1630C2×D4—682no—
1631C2×D4—682no—
1632C2×D4—682no—
1633C2×D4—682no—
1634C2×D4—682no—
1635C2×D4—682no—
1636C2×D4—682no—
1637C2×D4—682no—
1638C2×D4—682no—
1639C2×D4—682no—
1640C2×D4—682no—
1641C2×D4C23×D1714yes—
1642C2×D4C23×D1714yes—
1643C2×D4C23×D1714yes—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—171no—
1650C22×C4—171no—
1651C22×C4—171no—
1652C22×C4—171no—
1653C22×C4—171no—
1654C22×C4—171no—
1655C22×C4—171no—
1656C22×C4—171no—
1657C22×C4—171no—
1658C22×C4—171no—
1659C22×C4—174no—
1660C22×C4—174no—
1661C22×C4—174no—
1662C22×C4—174no—
1663C22×C4—174no—
1664C22×C4—174no—
1665C22×C4—174no—
1666C22×C4—174no—
1667C22×C4—174no—
1668C22×C4—174no—
1669C22×C4—174no—
1670C22×C4—174no—
1671C22×C4—174no—
1672C22×C4—174no—
1673C22×C4—174no—
1674C22×C4—174no—
1675C22×C4—344no—
1676C22×C4—344no—
1677C22×C4—344no—
1678C22×C4—682no—
1679C22×C4—682no—
1680C22×C4—682no—
1681C22×C4—682no—
1682C22×C4—682no—
1683C22×C4—682no—
1684C22×C4—682no—
1685C22×C4—682no—
1686C22×C4—682no—
1687C22×C4—682no—
1688C22×C4—682no—
1689C22×C4—682no—
1690C22×C4—682no—
1691C22×C4C23×D1711yescharacteristic
1692C22×C4C23×D1711yescharacteristic
1693C22×C4C23×D1711yescharacteristic
1694C22×C4C23×D1711yescharacteristic
1695C22×C4C23×D1711yescharacteristic
1696C22×C4C23×D1711yescharacteristic
1697C22×C4C23×D1711yescharacteristic
1698C22×C4C23×D1711yescharacteristic
1699C22×C4C23×D1711yescharacteristic
1700C22×C4C23×D1711yescharacteristic
1701C22×C4C23×D1711yescharacteristic
1702C22×C4C23×D1711yescharacteristic
1703C22×C4C23×D1714yes—
1704C22×C4C23×D1714yes—
1705C22×C4C23×D1714yes—
1706C22×C4C23×D1714yes—
1707C22×C4C23×D1714yes—
1708C4⋊C4—174no—
1709C4⋊C4—174no—
1710C4⋊C4—174no—
1711C4⋊C4—174no—
1712C4⋊C4—174no—
1713C4⋊C4—174no—
1714C4⋊C4—174no—
1715C4⋊C4—174no—
1716C4⋊C4—174no—
1717C4⋊C4—174no—
1718C4⋊C4—174no—
1719C4⋊C4—174no—
1720C4⋊C4—174no—
1721C4⋊C4—174no—
1722C4⋊C4—174no—
1723C4⋊C4—174no—
1724C4⋊C4—174no—
1725C4⋊C4—174no—
1726C4⋊C4—174no—
1727C4⋊C4—174no—
1728C4⋊C4—174no—
1729C4⋊C4—174no—
1730C4⋊C4C23×D1714yes—
1731C4⋊C4C23×D1714yes—
1732C4⋊C4C23×D1714yes—
1733C4⋊C4C23×D1714yes—
1734C4⋊C4C23×D1714yes—
1735C4⋊C4C23×D1714yes—
1736C4⋊C4C23×D1714yes—
1737C4⋊C4C23×D1714yes—
1738C4⋊C4C23×D1714yes—
1739C4⋊C4C23×D1714yes—
1740C4⋊C4C23×D1714yes—
1741C4⋊C4C23×D1714yes—
1742C4⋊C4C23×D1714yes—
1743C4⋊C4C23×D1714yes—
1744C22⋊C4—174no—
1745C22⋊C4—174no—
1746C22⋊C4—174no—
1747C22⋊C4—174no—
1748C22⋊C4—174no—
1749C22⋊C4—174no—
1750C22⋊C4—174no—
1751C22⋊C4—174no—
1752C22⋊C4—174no—
1753C22⋊C4—174no—
1754C22⋊C4—174no—
1755C22⋊C4—174no—
1756C22⋊C4—174no—
1757C22⋊C4—174no—
1758C22⋊C4—174no—
1759C22⋊C4—174no—
1760C22⋊C4—174no—
1761C22⋊C4—174no—
1762C22⋊C4—174no—
1763C22⋊C4—174no—
1764C22⋊C4—174no—
1765C22⋊C4—174no—
1766C22⋊C4—174no—
1767C22⋊C4—174no—
1768C22⋊C4—174no—
1769C22⋊C4—174no—
1770C22⋊C4—174no—
1771C22⋊C4—174no—
1772C22⋊C4—174no—
1773C22⋊C4—174no—
1774C22⋊C4—174no—
1775C22⋊C4—174no—
1776C22⋊C4—174no—
1777C22⋊C4—174no—
1778C22⋊C4—174no—
1779C22⋊C4—174no—
1780C22⋊C4—174no—
1781C22⋊C4—174no—
1782C22⋊C4C23×D1714yes—
1783C22⋊C4C23×D1714yes—
1784C22⋊C4C23×D1714yes—
1785C22⋊C4C23×D1714yes—
1786C22⋊C4C23×D1714yes—
1787C22⋊C4C23×D1714yes—
1788C22⋊C4C23×D1714yes—
1789C22⋊C4C23×D1714yes—
1790C22⋊C4C23×D1714yes—
1791C22⋊C4C23×D1714yes—
1792C42—174no—
1793C42—174no—
1794C42—174no—
1795C42—174no—
1796C42—174no—
1797C42—174no—
1798C42—174no—
1799C42—174no—
1800C42—174no—
1801C42—174no—
1802C42C23×D1714yes—
1803C42C23×D1714yes—
1804C23—22no—
1805C23—22no—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—172no—
1814C23—172no—
1815C23—172no—
1816C23—172no—
1817C23—172no—
1818C23—172no—
1819C23—342no—
1820C23—342no—
1821C23—342no—
1822C23—342no—
1823C23—342no—
1824C23—342no—
1825C23—342no—
1826C23—342no—
1827C23—342no—
1828C23—342no—
1829C23—342no—
1830C23—342no—
1831C23—342no—
1832C23—342no—
1833C23—342no—
1834C23—342no—
1835C23—342no—
1836C23—342no—
1837C23—684no—
1838C23—684no—
1839C23—684no—
1840C23—684no—
1841C23—684no—
1842C23—684no—
1843C23—1368no—
1844C23—1368no—
1845C23C24×D1712yes—
1846C23C24×D1712yes—
1847C23C24×D1712yes—
1848C23C24×D1711yescharacteristic
1849Q8—44no—
1850Q8—348no—
1851Q8—348no—
1852Q8—348no—
1853Q8—684no—
1854Q8—684no—
1855D4—44no—
1856D4—44no—
1857D4—44no—
1858D4—348no—
1859D4—348no—
1860D4—348no—
1861D4—684no—
1862D4—684no—
1863D4—684no—
1864D4—684no—
1865D4—684no—
1866D4—684no—
1867D4—684no—
1868D4—684no—
1869D4—684no—
1870D4—684no—
1871D4—684no—
1872D4—684no—
1873D4—684no—
1874D4—684no—
1875D4—684no—
1876D4—684no—
1877D4—684no—
1878D4—684no—
1879D4—684no—
1880D4—684no—
1881D4—684no—
1882D4—684no—
1883D4—684no—
1884D4—684no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—44no—
1898C2×C4—44no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—174no—
1903C2×C4—172no—
1904C2×C4—172no—
1905C2×C4—172no—
1906C2×C4—172no—
1907C2×C4—172no—
1908C2×C4—172no—
1909C2×C4—172no—
1910C2×C4—172no—
1911C2×C4—172no—
1912C2×C4—172no—
1913C2×C4—348no—
1914C2×C4—348no—
1915C2×C4—348no—
1916C2×C4—342no—
1917C2×C4—342no—
1918C2×C4—342no—
1919C2×C4—342no—
1920C2×C4—342no—
1921C2×C4—342no—
1922C2×C4—342no—
1923C2×C4—342no—
1924C2×C4—342no—
1925C2×C4—684no—
1926C2×C4—684no—
1927C2×C4—684no—
1928C2×C4—684no—
1929C2×C4—684no—
1930C2×C4—684no—
1931C2×C4—684no—
1932C2×C4—684no—
1933C2×C4—684no—
1934C2×C4—684no—
1935C2×C4—684no—
1936C2×C4—684no—
1937C2×C4—684no—
1938C2×C4C24×D1712yes—
1939C2×C4C24×D1712yes—
1940C2×C4C24×D1712yes—
1941C2×C4C24×D1712yes—
1942C2×C4C24×D1712yes—
1943C2×C4C24×D1712yes—
1944C2×C4C24×D1712yes—
1945C2×C4C24×D1712yes—
1946C2×C4C24×D1712yes—
1947C2×C4C24×D1712yes—
1948C2×C4C24×D1712yes—
1949C2×C4C24×D1712yes—
1950C22—22no—
1951C22—22no—
1952C22—22no—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—44no—
1960C22—44no—
1961C22—44no—
1962C22—342no—
1963C22—342no—
1964C22—342no—
1965C22—342no—
1966C22—342no—
1967C22—342no—
1968C22—342no—
1969C22—342no—
1970C22—342no—
1971C22—342no—
1972C22—342no—
1973C22—342no—
1974C22—342no—
1975C22—342no—
1976C22—342no—
1977C22—342no—
1978C22—342no—
1979C22—342no—
1980C22—684no—
1981C22—684no—
1982C22—684no—
1983C22—684no—
1984C22—684no—
1985C22—684no—
1986C22—1368no—
1987C22—1368no—
1988C22H(5,𝔽2)×D1712yes—
1989C22#1176364512yes—
1990C22#1176364612yes—
1991C22C25×D1711yescharacteristic
1992C4—22no—
1993C4—22no—
1994C4—22no—
1995C4—22no—
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—174no—
2005C4—342no—
2006C4—342no—
2007C4—342no—
2008C4—342no—
2009C4—342no—
2010C4—342no—
2011C4—342no—
2012C4—342no—
2013C4—342no—
2014C2—42no—
2015C2—42no—
2016C2—42no—
2017C2—682no—
2018C2—682no—
2019C2—682no—
2020C2—682no—
2021C2—682no—
2022C2—682no—
2023C2#1454336714yesdirect product factor
2024C2C2×H(5,𝔽2)×D1711yescharacteristic
2025C2C2×#1176364511yescharacteristic
2026C2C2×#1176364611yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#539C2
socleC23×C17C25
hypercenterC2×#539D17
hypocenterC17C2×#3562
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #14543367C2direct (N × H)
2. C2×#11763556C2semidirect
3. C2×#11763555C2semidirect
4. C2×#11763550C2semidirect
5. C2×#11763549C2semidirect
6. C2×#11763543C2semidirect
7. C2×#11763526C2semidirect
8. C2×#11763507C2semidirect
9. C2×#11763504C2semidirect
10. C2×#11763488C2semidirect
11. C2×#11763486C2semidirect
12. C2×#11763480C2semidirect
13. C2×#11763469C2semidirect
14. C2×#11763469C2semidirect
15. C2×#11763460C2semidirect
16. C2×#11763451C2semidirect
17. C2×#11763451C2semidirect
18. C2×#11763418C2semidirect
19. C2×#11763415C2semidirect
20. C2×#11763411C2semidirect
21. C2×#11763409C2semidirect
22. C2×#11763407C2semidirect
23. C2×#11763399C2semidirect
24. C2×#11763398C2semidirect
25. C2×#11763395C2semidirect
26. C2×#11763392C2semidirect
27. C2×#11763382C2semidirect
28. C2×#11763375C2semidirect
29. C2×#11763356C2semidirect
30. C2×#11763344C2semidirect
31. C2×#11763342C2semidirect
32. C2×C17×#539C2semidirect
36. C22×#63252C22semidirect
37. C22×Q8×D17C22semidirect
39. #11763556C22semidirect
40. #11763555C22semidirect
41. #11763550C22semidirect
42. #11763549C22semidirect
43. #11763543C22semidirect
44. #11763526C22semidirect
45. #11763507C22semidirect
46. #11763504C22semidirect
47. #11763488C22semidirect
48. #11763486C22semidirect
49. #11763480C22semidirect
50. #11763469C22semidirect
51. #11763469C22semidirect
52. #11763460C22semidirect
53. #11763451C22semidirect
54. #11763451C22semidirect
55. #11763418C22semidirect
56. #11763415C22semidirect
57. #11763411C22semidirect
58. #11763409C22semidirect
59. #11763407C22semidirect
60. #11763399C22semidirect
61. #11763398C22semidirect
62. #11763395C22semidirect
63. #11763392C22semidirect
64. #11763382C22semidirect
65. #11763375C22semidirect
66. #11763356C22semidirect
67. C2×#10587574C22semidirect
68. C2×#10587574C22semidirect
69. C2×#10587560C22semidirect
72. C2×#10587626C22semidirect
73. #11763344C22semidirect
74. #11763342C22semidirect
79. C2×#10587584C22semidirect
80. C2×#10587584C22semidirect
81. C2×#10587584C22semidirect
83. C2×#10587562C22semidirect
84. C2×#10587565C22semidirect
85. C2×#10587576C22semidirect
86. C2×#10587575C22semidirect
87. C2×#10587575C22semidirect
88. C2×#10587575C22semidirect
90. C2×#10587633C22semidirect
97. C2×#10587571C22semidirect
98. C2×#10587571C22semidirect
99. C2×#10587571C22semidirect
100. C2×#10587571C22semidirect
105. C2×#10587580C22semidirect
106. C2×#10587580C22semidirect
107. C2×#10587580C22semidirect
108. C2×#10587580C22semidirect
109. C2×#10587580C22semidirect
110. C2×#10587580C22semidirect
111. C2×#10587580C22semidirect
112. C2×#10587580C22semidirect
113. C2×#10587572C22semidirect
115. C2×#10587615C22semidirect
116. C2×#10587569C22semidirect
117. C2×#10587569C22semidirect
118. C2×#10587569C22semidirect
119. C2×#10587569C22semidirect
120. C2×#10587621C22semidirect
121. C2×#10587583C22semidirect
122. C2×#10587583C22semidirect
123. C2×#10587610C22semidirect
126. C2×#10587582C22semidirect
127. C2×#10587582C22semidirect
128. C2×#10587582C22semidirect
129. C2×#10587582C22semidirect
130. C2×#10587564C22semidirect
131. C2×#10587632C22semidirect
138. C2×#10587581C22semidirect
139. C2×#10587581C22semidirect
140. C2×#10587581C22semidirect
143. C2×#10587616C22semidirect
144. C2×#10587616C22semidirect
145. C2×#10587616C22semidirect
149. C2×#10587570C22semidirect
150. C2×#10587570C22semidirect
151. C2×#10587570C22semidirect
152. C2×#10587570C22semidirect
153. C2×#10587570C22semidirect
154. C2×#10587570C22semidirect
155. C2×#10587570C22semidirect
158. C2×#10587625C22semidirect
160. C2×#10587624C22semidirect
169. C2×C4×Dic34C22semidirect
170. C2×#10587573C22semidirect
171. C2×#10587573C22semidirect
172. C2×#10587573C22semidirect
173. C2×C4×D68C22semidirect
176. C2×#10587579C22semidirect
177. C2×#10587579C22semidirect
178. C2×#10587579C22semidirect
179. C2×#10587579C22semidirect
180. C2×#10587579C22semidirect
181. C2×C4×C22⋊D17C22semidirect
182. C2×C4×C22⋊D17C22semidirect
183. C2×C4×C22⋊D17C22semidirect
184. C2×C4×C22⋊D17C22semidirect
185. C2×C4×C22⋊D17C22semidirect
186. C2×C4×C22⋊D17C22semidirect
189. C2×#10587567C22semidirect
190. C2×#10587567C22semidirect
192. C2×#10587578C22semidirect
193. C2×#10587578C22semidirect
194. C2×#10587558C22semidirect
195. C2×#10587563C22semidirect
196. C2×#10587563C22semidirect
197. C2×C4⋊C4×D17C22semidirect
202. C2×C42×D17C22semidirect
203. C17×#539C22semidirect
204. C2×C17×#126C22semidirect
205. C2×C17×#126C22semidirect
206. C2×C17×#125C22semidirect
207. C2×C17×#125C22semidirect
210. C2×C17×#123C22semidirect
211. C2×C17×#123C22semidirect
212. C2×C17×C22⋊Q8C22semidirect
213. C2×C17×C22⋊Q8C22semidirect
214. C2×C17×C22⋊Q8C22semidirect
216. C2×C4×D4×C17C22semidirect
217. C2×C4×D4×C17C22semidirect
218. C22×C4⋊C4×C17C22semidirect
247. C2×Q8×D17C23semidirect
257. C2×#63252C23semidirect
290. C17×#126C23semidirect
291. C17×#126C23semidirect
292. C17×#125C23semidirect
293. C17×#125C23semidirect
296. C17×#123C23semidirect
297. C17×#123C23semidirect
298. C17×C22⋊Q8C23semidirect
299. C17×C22⋊Q8C23semidirect
300. C17×C22⋊Q8C23semidirect
302. C4×D4×C17C23semidirect
303. C4×D4×C17C23semidirect
318. C2×C4⋊C4×C17C23semidirect
338. #10587633C23semidirect
339. #10587632C23semidirect
342. #10587626C23semidirect
345. #10587625C23semidirect
347. #10587624C23semidirect
350. #10587621C23semidirect
353. #10587616C23semidirect
354. #10587616C23semidirect
355. #10587616C23semidirect
357. #10587615C23semidirect
358. C4×C22⋊D17C23semidirect
359. C4×C22⋊D17C23semidirect
360. C4×C22⋊D17C23semidirect
361. C4×C22⋊D17C23semidirect
362. C4×C22⋊D17C23semidirect
363. C4×C22⋊D17C23semidirect
404. #10587610C23semidirect
435. #10587584C23semidirect
436. #10587584C23semidirect
437. #10587584C23semidirect
438. #10587583C23semidirect
439. #10587583C23semidirect
442. #10587582C23semidirect
443. #10587582C23semidirect
444. #10587582C23semidirect
445. #10587582C23semidirect
452. #10587581C23semidirect
453. #10587581C23semidirect
454. #10587581C23semidirect
459. #10587580C23semidirect
460. #10587580C23semidirect
461. #10587580C23semidirect
462. #10587580C23semidirect
463. #10587580C23semidirect
464. #10587580C23semidirect
465. #10587580C23semidirect
466. #10587580C23semidirect
469. #10587579C23semidirect
470. #10587579C23semidirect
471. #10587579C23semidirect
472. #10587579C23semidirect
473. #10587579C23semidirect
475. #10587578C23semidirect
476. #10587578C23semidirect
477. C4⋊C4×D17C23semidirect
478. #10587576C23semidirect
479. #10587575C23semidirect
480. #10587575C23semidirect
481. #10587575C23semidirect
482. #10587574C23semidirect
483. #10587574C23semidirect
484. #10587573C23semidirect
485. #10587573C23semidirect
486. #10587573C23semidirect
487. #10587572C23semidirect
493. #10587571C23semidirect
494. #10587571C23semidirect
495. #10587571C23semidirect
496. #10587571C23semidirect
500. #10587570C23semidirect
501. #10587570C23semidirect
502. #10587570C23semidirect
503. #10587570C23semidirect
504. #10587570C23semidirect
505. #10587570C23semidirect
506. #10587570C23semidirect
507. #10587569C23semidirect
508. #10587569C23semidirect
509. #10587569C23semidirect
510. #10587569C23semidirect
519. #10587567C23semidirect
520. #10587567C23semidirect
523. #10587565C23semidirect
524. #10587564C23semidirect
525. #10587563C23semidirect
526. #10587563C23semidirect
528. #10587562C23semidirect
530. #10587560C23semidirect
531. C4×D68C23semidirect
532. #10587558C23semidirect
533. C42×D17C23semidirect
534. C4×Dic34C23semidirect
959. C2×#539D17semidirect
1060. #539C2×D17semidirect
1086. C2×#126C2×D17semidirect
1087. C2×#126C2×D17semidirect
1092. C2×#125C2×D17semidirect
1093. C2×#125C2×D17semidirect
1128. C2×#123C2×D17semidirect
1129. C2×#123C2×D17semidirect
1141. C2×C22⋊Q8C2×D17semidirect
1142. C2×C22⋊Q8C2×D17semidirect
1143. C2×C22⋊Q8C2×D17semidirect
1204. C2×C4×D4C2×D17semidirect
1205. C2×C4×D4C2×D17semidirect
1213. C22×C4⋊C4C2×D17semidirect
1222. C2×C17#3562semidirect
1319. #126C22×D17semidirect
1320. #126C22×D17semidirect
1325. #125C22×D17semidirect
1326. #125C22×D17semidirect
1361. #123C22×D17semidirect
1362. #123C22×D17semidirect
1374. C22⋊Q8C22×D17semidirect
1375. C22⋊Q8C22×D17semidirect
1376. C22⋊Q8C22×D17semidirect
1437. C4×D4C22×D17semidirect
1438. C4×D4C22×D17semidirect
1482. C2×C4⋊C4C22×D17semidirect
1548. C17C2×#3562semidirect
2023. C2#14543367direct (N × H)

Maximal subgroups

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

subgroupindex
#145433672
C2×#117635562
C2×#117635552
C2×#117635502
C2×#117635492
C2×#117635432
C2×#117635262
C2×#117635072
C2×#117635042
C2×#117634882
C2×#117634862
C2×#117634802
C2×#117634692
C2×#117634602
C2×#117634512
C2×#117634182
C2×#117634152
C2×#117634112
C2×#117634092
C2×#117634072
C2×#117633992
C2×#117633982
C2×#117633952
C2×#117633922
C2×#117633822
C2×#117633752
C2×#117633562
C2×#117633442
C2×#117633422
C2×C17×#5392
C2×#356217