Finite Group Databasebeta

← C2×#14542339 #17941350

Subgroups — C2×#14542339 #17941350

Order 4352.

7954 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542339C2132yesmaximal, direct product factor
2C2×#11763526C211yesmaximal, characteristic, complemented
3C2×#11763521C211yesmaximal, characteristic, complemented
4C2×#11763513C211yesmaximal, characteristic, complemented
5C2×#11763508C211yesmaximal, characteristic, complemented
6C2×#11763504C211yesmaximal, characteristic, complemented
7C2×#11763496C211yesmaximal, characteristic, complemented
8C2×#11763495C211yesmaximal, characteristic, complemented
9C2×#11763492C211yesmaximal, characteristic, complemented
10C2×#11763492C211yesmaximal, characteristic, complemented
11C2×#11763488C211yesmaximal, characteristic, complemented
12C2×#11763486C211yesmaximal, characteristic, complemented
13C2×#11763485C211yesmaximal, characteristic, complemented
14C2×#11763457C211yesmaximal, characteristic, complemented
15C2×#11763449C211yesmaximal, characteristic, complemented
16C2×#11763446C211yesmaximal, characteristic, complemented
17C2×#11763361C211yesmaximal, characteristic, complemented
18C2×#11763345C211yesmaximal, characteristic, complemented
19C2×#11763342C211yesmaximal, characteristic, complemented
20C2×#11763342C211yesmaximal, characteristic, complemented
21C2×#11763338C211yesmaximal, characteristic, complemented
22C2×#11763336C211yesmaximal, characteristic, complemented
23C2×#11763336C211yesmaximal, characteristic, complemented
24C2×#11763317C211yesmaximal, characteristic, complemented
25C2×#11763315C211yesmaximal, characteristic, complemented
26C2×#11763277C211yesmaximal, characteristic, complemented
27C2×C4×#63254C211yesmaximal, characteristic, complemented
28C2×C4×#63254C211yesmaximal, characteristic, complemented
29C22×#10587567C211yesmaximal, characteristic, complemented
30C22×#10587563C211yesmaximal, characteristic, complemented
31C2×#117×D17C211yesmaximal, characteristic, complemented
32C2×C17×#551C211yesmaximal, characteristic, complemented
33C22×#63252C2211yescharacteristic
34C22×#63254C2211yescharacteristic
35C22×#63254C2211yescharacteristic
36C23×C22⋊D17C2211yescharacteristic
37C24×Dic17C2211yescharacteristic
38C23×C4×D17C2211yescharacteristic
39#11763526C22116yescomplemented
40#11763521C22116yescomplemented
41#11763513C22116yescomplemented
42#11763508C22116yescomplemented
43#11763504C22116yescomplemented
44#11763496C22116yescomplemented
45#11763495C22116yescomplemented
46#11763492C22116yescomplemented
47#11763492C22116yescomplemented
48#11763488C22116yescomplemented
49#11763486C22116yescomplemented
50#11763485C22116yescomplemented
51#11763457C22116yescomplemented
52#11763449C22116yescomplemented
53#11763446C22116yescomplemented
54#11763361C22116yescomplemented
55C2×#10587574C2211yescharacteristic, complemented
56C2×#10587630C2211yescharacteristic, complemented
57#11763345C22116yescomplemented
58#11763342C22116yescomplemented
59#11763342C22116yescomplemented
60#11763338C22116yescomplemented
61#11763336C22116yescomplemented
62#11763336C22116yescomplemented
63C2×#10587584C2211yescharacteristic, complemented
64C2×#10587584C2211yescharacteristic, complemented
65C2×#10587584C2211yescharacteristic, complemented
66C2×#10587584C2211yescharacteristic, complemented
67C2×#10587562C2211yescharacteristic, complemented
68C2×#10587562C2211yescharacteristic, complemented
69C2×#10587565C2211yescharacteristic, complemented
70C2×#10587565C2211yescharacteristic, complemented
71C2×#10587565C2211yescharacteristic, complemented
72C2×#10587565C2211yescharacteristic, complemented
73C2×#10587556C2211yescharacteristic, complemented
74C2×#10587576C2211yescharacteristic, complemented
75C2×#10587575C2211yescharacteristic, complemented
76C2×#10587575C2211yescharacteristic, complemented
77C2×#10587575C2211yescharacteristic, complemented
78C2×#10587575C2211yescharacteristic, complemented
79C2×#10587575C2211yescharacteristic, complemented
80C2×#10587575C2211yescharacteristic, complemented
81C2×#10587633C2211yescharacteristic, complemented
82C2×#10587571C2211yescharacteristic
83C2×#10587571C2211yescharacteristic
84C2×#10587571C2211yescharacteristic, complemented
85C2×#10587571C2211yescharacteristic, complemented
86#11763317C22116yescomplemented
87#11763315C22116yescomplemented
88C2×#10587580C2211yescharacteristic, complemented
89C2×#10587580C2211yescharacteristic, complemented
90C2×#10587572C2211yescharacteristic
91C2×#10587572C2211yescharacteristic
92C2×#10587572C2211yescharacteristic, complemented
93C2×#10587615C2211yescharacteristic
94C2×#10587615C2211yescharacteristic
95C2×#10587615C2211yescharacteristic, complemented
96C2×#10587569C2211yescharacteristic
97C2×#10587569C2211yescharacteristic
98C2×#10587569C2211yescharacteristic, complemented
99C2×#10587569C2211yescharacteristic, complemented
100C2×#10587621C2211yescharacteristic
101C2×#10587610C2211yescharacteristic
102C2×#10587582C2211yescharacteristic, complemented
103C2×#10587582C2211yescharacteristic, complemented
104C2×#10587582C2211yescharacteristic, complemented
105C2×#10587582C2211yescharacteristic, complemented
106C2×#10587564C2211yescharacteristic
107C2×#10587564C2211yescharacteristic
108C2×#10587564C2211yescharacteristic, complemented
109C2×#10587564C2211yescharacteristic, complemented
110C2×#10587564C2211yescharacteristic, complemented
111C2×#10587564C2211yescharacteristic, complemented
112C2×#10587632C2211yescharacteristic, complemented
113C2×#10587616C2211yescharacteristic
114C2×#10587570C2211yescharacteristic
115C2×#10587570C2211yescharacteristic
116C2×#10587570C2211yescharacteristic, complemented
117C2×#10587570C2211yescharacteristic, complemented
118C2×#10587625C2211yescharacteristic
119C2×#10587625C2211yescharacteristic
120C2×#10587625C2211yescharacteristic, complemented
121C2×#10587625C2211yescharacteristic, complemented
122C2×#10587624C2211yescharacteristic
123C2×#10587568C2211yescharacteristic
124C2×#10587639C2211yescharacteristic
125C2×#10587623C2211yescharacteristic
126#11763277C22116yescomplemented
127C4×#63254C22116yescomplemented
128C4×#63254C22116yescomplemented
129C2×Q8×Dic17C2211yescharacteristic, complemented
130C2×C4×Dic34C2211yescharacteristic, complemented
131C2×C4×Dic34C2211yescharacteristic, complemented
132C2×#10587573C2211yescharacteristic, complemented
133C2×#10587573C2211yescharacteristic, complemented
134C2×#10587573C2211yescharacteristic, complemented
135C2×#10587573C2211yescharacteristic, complemented
136C2×#10587573C2211yescharacteristic, complemented
137C2×D4×Dic17C2211yescharacteristic
138C2×D4×Dic17C2211yescharacteristic, complemented
139C2×D4×Dic17C2211yescharacteristic, complemented
140C2×#10587579C2211yescharacteristic, complemented
141C2×#10587579C2211yescharacteristic, complemented
142C2×#10587579C2211yescharacteristic, complemented
143C2×C4×C22⋊D17C2211yescharacteristic
144C2×C4×C22⋊D17C2211yescharacteristic
145C2×C4×C22⋊D17C2211yescharacteristic, complemented
146C2×C4×C22⋊D17C2211yescharacteristic, complemented
147C2×#10587567C2211yescharacteristic
148C2×#10587567C2211yescharacteristic
149C2×#10587567C2211yescharacteristic
150C2×#10587567C2211yescharacteristic
151C2×#10587567C2211yescharacteristic
152C2×#10587567C2211yescharacteristic
153C2×#10587567C2211yescharacteristic
154C2×#10587567C2211yescharacteristic
155C2×#10587567C2211yescharacteristic
156C2×#10587567C2211yescharacteristic
157C2×#10587567C22116yescomplemented
158C2×#10587567C2211yescharacteristic, complemented
159C2×#10587567C2211yescharacteristic, complemented
160C2×#10587567C2211yescharacteristic, complemented
161C2×#10587567C2211yescharacteristic, complemented
162C2×#10587567C2211yescharacteristic, complemented
163C2×#10587567C2211yescharacteristic, complemented
164C2×#10587612C2211yescharacteristic
165C2×#10587578C2211yescharacteristic, complemented
166C2×#10587578C2211yescharacteristic, complemented
167C2×#10587578C2211yescharacteristic, complemented
168C2×#10587578C2211yescharacteristic, complemented
169C2×#10587558C2211yescharacteristic, complemented
170C2×#10587558C2211yescharacteristic, complemented
171C2×#10587558C2211yescharacteristic, complemented
172C2×#10587558C2211yescharacteristic, complemented
173C2×#10587563C2211yescharacteristic
174C2×#10587563C2211yescharacteristic
175C2×#10587563C2211yescharacteristic
176C2×#10587563C2211yescharacteristic
177C2×#10587563C2211yescharacteristic
178C2×#10587563C22116yescomplemented
179C2×#10587563C2211yescharacteristic, complemented
180C2×#10587563C2211yescharacteristic, complemented
181C2×#10587563C2211yescharacteristic, complemented
182C2×#10587563C2211yescharacteristic, complemented
183C2×#10587563C2211yescharacteristic, complemented
184C2×#10587563C2211yescharacteristic, complemented
185C2×#10587563C2211yescharacteristic, complemented
186#117×D17C22116yescomplemented
187C22×#63225C2211yescharacteristic
188C22×#63225C2211yescharacteristic, complemented
189C22×#63225C2211yescharacteristic, complemented
190C2×C4⋊C4×D17C2211yescharacteristic, complemented
191C2×C4⋊C4×D17C2211yescharacteristic, complemented
192C22×C22⋊Dic17C2211yescharacteristic
193C22×#63227C2211yescharacteristic
194C2×C22⋊C4×D17C2211yescharacteristic
195C2×C22⋊C4×D17C2211yescharacteristic
196C22×C4×Dic17C2211yescharacteristic
197C22×C4×Dic17C2211yescharacteristic, complemented
198C22×C4×Dic17C2211yescharacteristic, complemented
199C22×C4×Dic17C2211yescharacteristic, complemented
200C2×C42×D17C2211yescharacteristic, complemented
201C2×C42×D17C2211yescharacteristic, complemented
202C2×C42×D17C2211yescharacteristic, complemented
203C17×#551C22116yescomplemented
204C2×C17×#126C2211yescharacteristic, complemented
205C2×C17×#126C2211yescharacteristic, complemented
206C2×C17×#124C2211yescharacteristic, complemented
207C2×C17×#123C2211yescharacteristic
208C2×C17×#123C2211yescharacteristic, complemented
209C2×C17×#123C2211yescharacteristic, complemented
210C2×C17×C22⋊Q8C2211yescharacteristic
211C2×C17×C22⋊Q8C2211yescharacteristic, complemented
212C2×C17×#120C2211yescharacteristic
213C2×C4×D4×C17C2211yescharacteristic
214C2×C4×D4×C17C2211yescharacteristic, complemented
215C2×C17×#117C2211yescharacteristic
216C2×C17×#117C2211yescharacteristic, complemented
217C22×C22⋊C4×C17C2211yescharacteristic
218C22×C22⋊C4×C17C2211yescharacteristic
219C25×C17C2311yescharacteristic
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⋊D17—28no—
231C22×C22⋊D17C2311yescharacteristic
232C22×C22⋊D17C2311yescharacteristic
233C22×C22⋊D17C2311yescharacteristic
234C22×C22⋊D17C2311yescharacteristic
235C22×C22⋊D17C2311yescharacteristic
236C22×C22⋊D17C2318yes—
237C22×C22⋊D17C2311yescharacteristic
238C22×C22⋊D17C2311yescharacteristic
239C22×C22⋊D17C2311yescharacteristic
240C22×C22⋊D17C2311yescharacteristic
241C22×C22⋊D17C2311yescharacteristic
242C23×Dic17—28no—
243C23×Dic17C2311yescharacteristic
244C23×Dic17C2311yescharacteristic
245C23×Dic17C2311yescharacteristic
246C23×Dic17C2311yescharacteristic
247C23×Dic17C2311yescharacteristic
248C23×Dic17C2311yescharacteristic
249C23×Dic17C2311yescharacteristic
250C23×Dic17C2311yescharacteristic
251C23×Dic17C2311yescharacteristic
252C23×Dic17C2318yes—
253C23×Dic17C2311yescharacteristic
254C23×Dic17C2311yescharacteristic
255C2×#63254—28no—
256C2×#63254—28no—
257C2×#63254C2318yes—
258C2×#63254C2318yes—
259C2×#63252—28no—
260C2×#63252C2318yes—
261C22×D68C2311yescharacteristic
262C22×D68C2311yescharacteristic
263C22×C4×D17—28no—
264C22×C4×D17C2311yescharacteristic
265C22×C4×D17C2311yescharacteristic
266C22×C4×D17C2311yescharacteristic
267C22×C4×D17C2311yescharacteristic
268C22×C4×D17C2311yescharacteristic
269C22×C4×D17C2311yescharacteristic
270C22×C4×D17C2318yes—
271C22×C4×D17C2311yescharacteristic
272C22×C4×D17C2311yescharacteristic
273C22×C4×D17C2311yescharacteristic
274C22×C4×D17C2311yescharacteristic
275C22×C4×D17C2311yescharacteristic
276C22×Dic34C2311yescharacteristic
277C22×Dic34C2311yescharacteristic
278C22×Dic34C2311yescharacteristic
279C22×Dic34C2311yescharacteristic
280C17×#126C2318yescomplemented
281C17×#126C2318yescomplemented
282C17×#124C2318yescomplemented
283C17×#123C2318yes—
284C17×#123C2318yescomplemented
285C17×#123C2318yescomplemented
286C17×C22⋊Q8C2318yes—
287C17×C22⋊Q8C2318yescomplemented
288C17×#120C2318yes—
289C4×D4×C17C2318yes—
290C4×D4×C17C2318yescomplemented
291C17×#117C2318yes—
292C17×#117C2318yescomplemented
293C2×C4⋊C4×C17C2311yescharacteristic
294C2×C4⋊C4×C17C2311yescharacteristic
295C2×C4⋊C4×C17C2311yescharacteristic
296C2×C4⋊C4×C17C2311yescharacteristic
297C2×C4⋊C4×C17C2311yescharacteristic
298C2×C4⋊C4×C17C2311yescharacteristic
299C2×C4⋊C4×C17C2311yescharacteristic
300C2×C4⋊C4×C17C2311yescharacteristic
301C2×C22⋊C4×C17C2311yescharacteristic
302C2×C22⋊C4×C17C2311yescharacteristic
303C2×C22⋊C4×C17C2318yes—
304C2×C22⋊C4×C17C2311yescharacteristic
305C2×C22⋊C4×C17C2311yescharacteristic
306C2×C22⋊C4×C17C2311yescharacteristic
307C2×C22⋊C4×C17C2311yescharacteristic
308C2×C22⋊C4×C17C2311yescharacteristic
309C2×C22⋊C4×C17C2311yescharacteristic
310C2×C22⋊C4×C17C2318yes—
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×C42×C17C2311yescharacteristic
318C2×C42×C17C2311yescharacteristic
319C2×C42×C17C2311yescharacteristic
320#10587639C2318yes—
321C2×C22⋊Dic17C2318yes—
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
332#10587633C2318yescomplemented
333#10587632C2318yescomplemented
334Q8×Dic17C2318yescomplemented
335#10587630C2318yescomplemented
336#10587625C2318yes—
337#10587625C2318yes—
338#10587625C2318yescomplemented
339#10587625C2318yescomplemented
340#10587624C2318yes—
341#10587623C2318yes—
342#10587621C2318yes—
343D4×Dic17C2318yes—
344D4×Dic17C2318yescomplemented
345D4×Dic17C2318yescomplemented
346#10587616C2318yes—
347#10587615C2318yes—
348#10587615C2318yes—
349#10587615C2318yescomplemented
350C4×C22⋊D17C2318yes—
351C4×C22⋊D17C2318yes—
352C4×C22⋊D17C2318yescomplemented
353C4×C22⋊D17C2318yescomplemented
354C2×#63227C2318yes—
355C2×#63227C2311yescharacteristic
356C2×#63227C2311yescharacteristic
357C2×#63227C2311yescharacteristic
358C2×#63227C2311yescharacteristic
359C2×#63227C2311yescharacteristic
360C2×#63227C2311yescharacteristic
361C2×#63227C2311yescharacteristic
362C2×#63227C2311yescharacteristic
363C2×#63227C2311yescharacteristic
364C2×#63227C2311yescharacteristic
365C2×#63227C2311yescharacteristic
366C2×#63227C2311yescharacteristic
367C2×#63227C2311yescharacteristic
368C2×#63227C2311yescharacteristic
369C2×#63227C2311yescharacteristic
370C2×#63227C2311yescharacteristic
371C2×#63227C2311yescharacteristic
372C2×#63227C2311yescharacteristic
373#10587612C2318yes—
374C2×C4⋊Dic17C2311yescharacteristic
375C2×C4⋊Dic17C2311yescharacteristic
376C2×C4⋊Dic17C2311yescharacteristic
377C2×C4⋊Dic17C2311yescharacteristic
378C2×C4⋊Dic17C2311yescharacteristic
379C2×C4⋊Dic17C2311yescharacteristic
380C2×C4⋊Dic17C2311yescharacteristic
381C2×C4⋊Dic17C2311yescharacteristic
382#10587610C2318yes—
383C2×#63225C2318yes—
384C2×#63225C2311yescharacteristic
385C2×#63225C2311yescharacteristic
386C2×#63225C2311yescharacteristic
387C2×#63225C2311yescharacteristic
388C2×#63225C2311yescharacteristic
389C2×#63225C2311yescharacteristic
390C2×#63225C2311yescharacteristic
391C2×#63225C2311yescharacteristic
392C2×#63225C2311yescharacteristic
393C2×#63225C2311yescharacteristic
394C2×#63225C2311yescharacteristic
395C2×#63225C2311yescharacteristic
396C2×#63225C2311yescharacteristic
397C2×#63225C2311yescharacteristic
398C2×#63225C2311yescharacteristic
399C2×#63225C2311yescharacteristic
400C2×#63225C2311yescharacteristic
401C2×#63225C2311yescharacteristic
402C2×#63225C2311yescharacteristic
403C2×#63225C2311yescharacteristic
404C2×#63225C2311yescharacteristic
405C2×#63225C2311yescharacteristic
406C2×#63225C2311yescharacteristic
407C2×#63225C2311yescharacteristic
408C2×#63225C2311yescharacteristic
409C2×#63225C2311yescharacteristic
410C2×#63225C2318yescomplemented
411C2×#63225C2318yescomplemented
412C2×C4×Dic17C2311yescharacteristic
413C2×C4×Dic17C2311yescharacteristic
414C2×C4×Dic17C2311yescharacteristic
415C2×C4×Dic17C2311yescharacteristic
416C2×C4×Dic17C2311yescharacteristic
417C2×C4×Dic17C2311yescharacteristic
418C2×C4×Dic17C2311yescharacteristic
419C2×C4×Dic17C2311yescharacteristic
420C2×C4×Dic17C2311yescharacteristic
421C2×C4×Dic17C2311yescharacteristic
422C2×C4×Dic17C2311yescharacteristic
423C2×C4×Dic17C2318yes—
424C2×C4×Dic17C2311yescharacteristic
425C2×C4×Dic17C2311yescharacteristic
426C2×C4×Dic17C2311yescharacteristic
427C2×C4×Dic17C2311yescharacteristic
428C2×C4×Dic17C2311yescharacteristic
429C2×C4×Dic17C2311yescharacteristic
430C2×C4×Dic17C2311yescharacteristic
431C2×C4×Dic17C2311yescharacteristic
432C2×C4×Dic17C2318yescomplemented
433C2×C4×Dic17C2318yescomplemented
434C2×C4×Dic17C2318yescomplemented
435#10587584C2318yescomplemented
436#10587584C2318yescomplemented
437#10587584C2318yescomplemented
438#10587584C2318yescomplemented
439#10587582C2318yescomplemented
440#10587582C2318yescomplemented
441#10587582C2318yescomplemented
442#10587582C2318yescomplemented
443#10587580C2318yescomplemented
444#10587580C2318yescomplemented
445#10587579C2318yescomplemented
446#10587579C2318yescomplemented
447#10587579C2318yescomplemented
448#10587578C2318yescomplemented
449#10587578C2318yescomplemented
450#10587578C2318yescomplemented
451#10587578C2318yescomplemented
452C4⋊C4×D17C2318yescomplemented
453C4⋊C4×D17C2318yescomplemented
454#10587576C2318yescomplemented
455#10587575C2318yescomplemented
456#10587575C2318yescomplemented
457#10587575C2318yescomplemented
458#10587575C2318yescomplemented
459#10587575C2318yescomplemented
460#10587575C2318yescomplemented
461#10587574C2318yescomplemented
462#10587573C2318yescomplemented
463#10587573C2318yescomplemented
464#10587573C2318yescomplemented
465#10587573C2318yescomplemented
466#10587573C2318yescomplemented
467#10587572C2318yes—
468#10587572C2318yes—
469#10587572C2318yescomplemented
470#10587571C2318yes—
471#10587571C2318yes—
472#10587571C2318yescomplemented
473#10587571C2318yescomplemented
474#10587570C2318yes—
475#10587570C2318yes—
476#10587570C2318yescomplemented
477#10587570C2318yescomplemented
478#10587569C2318yes—
479#10587569C2318yes—
480#10587569C2318yescomplemented
481#10587569C2318yescomplemented
482#10587568C2318yes—
483#10587567C2318yes—
484#10587567C2318yes—
485#10587567C2318yes—
486#10587567C2318yes—
487#10587567C2318yes—
488#10587567C2318yes—
489#10587567C2318yes—
490#10587567C2318yes—
491#10587567C2318yes—
492#10587567C2318yes—
493#10587567C2318yescomplemented
494#10587567C2318yescomplemented
495#10587567C2318yescomplemented
496#10587567C2318yescomplemented
497#10587567C2318yescomplemented
498#10587567C2318yescomplemented
499C22⋊C4×D17C2318yes—
500C22⋊C4×D17C2318yes—
501#10587565C2318yescomplemented
502#10587565C2318yescomplemented
503#10587565C2318yescomplemented
504#10587565C2318yescomplemented
505#10587564C2318yes—
506#10587564C2318yes—
507#10587564C2318yescomplemented
508#10587564C2318yescomplemented
509#10587564C2318yescomplemented
510#10587564C2318yescomplemented
511#10587563C2318yes—
512#10587563C2318yes—
513#10587563C2318yes—
514#10587563C2318yes—
515#10587563C2318yes—
516#10587563C2318yescomplemented
517#10587563C2318yescomplemented
518#10587563C2318yescomplemented
519#10587563C2318yescomplemented
520#10587563C2318yescomplemented
521#10587563C2318yescomplemented
522#10587563C2318yescomplemented
523#10587562C2318yescomplemented
524#10587562C2318yescomplemented
525#10587558C2318yescomplemented
526#10587558C2318yescomplemented
527#10587558C2318yescomplemented
528#10587558C2318yescomplemented
529C42×D17C2318yescomplemented
530C42×D17C2318yescomplemented
531C42×D17C2318yescomplemented
532#10587556C2318yescomplemented
533C4×Dic34C2318yescomplemented
534C4×Dic34C2318yescomplemented
535C24×C17—24no—
536C24×C17—24no—
537C24×C17—42no—
538C24×C17C2411yescharacteristic
539C24×C17C2411yescharacteristic
540C24×C17C2414yes—
541C24×C17C2411yescharacteristic
542C24×C17C2411yescharacteristic
543C23×D17—24no—
544C23×D17—24no—
545C23×D17—42no—
546C23×D17C2411yescharacteristic
547C23×D17C2411yescharacteristic
548C23×D17C2414yes—
549C23×D17C2411yescharacteristic
550C2×Q8×C17—42no—
551C2×Q8×C17C2414yes—
552C2×D4×C17—24no—
553C2×D4×C17—24no—
554C2×D4×C17—42no—
555C2×D4×C17C2414yes—
556C2×D4×C17C2414yes—
557C2×D4×C17C2414yes—
558C22×C4×C17—24no—
559C22×C4×C17—24no—
560C22×C4×C17—42no—
561C22×C4×C17—42no—
562C22×C4×C17—42no—
563C22×C4×C17C2414yes—
564C22×C4×C17C2414yes—
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×C17C2414yes—
577C22×C4×C17C2414yes—
578C22×C4×C17C2414yes—
579C2×C22⋊D17—24no—
580C2×C22⋊D17—24no—
581C2×C22⋊D17—24no—
582C2×C22⋊D17—24no—
583C2×C22⋊D17—24no—
584C2×C22⋊D17—232no—
585C2×C22⋊D17—24no—
586C2×C22⋊D17—24no—
587C2×C22⋊D17—42no—
588C2×C22⋊D17—42no—
589C2×C22⋊D17#4118yescomplemented
590C2×C22⋊D17C2414yes—
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—
600C22×Dic17—24no—
601C22×Dic17—24no—
602C22×Dic17—24no—
603C22×Dic17—24no—
604C22×Dic17—24no—
605C22×Dic17—24no—
606C22×Dic17—24no—
607C22×Dic17—24no—
608C22×Dic17—24no—
609C22×Dic17—232no—
610C22×Dic17—42no—
611C22×Dic17#4118yescomplemented
612C22×Dic17C2411yescharacteristic
613C22×Dic17C2411yescharacteristic
614C22×Dic17C2411yescharacteristic
615C22×Dic17C2411yescharacteristic
616C22×Dic17C2411yescharacteristic
617C22×Dic17C2411yescharacteristic
618C22×Dic17C2411yescharacteristic
619C22×Dic17C2414yes—
620C22×Dic17C2414yes—
621C22×Dic17C2414yes—
622C22×Dic17C2414yes—
623C22×Dic17C2414yes—
624C22×Dic17C2414yes—
625C22×Dic17C2414yes—
626C22×Dic17C2414yes—
627C22×Dic17C2411yescharacteristic
628C22×Dic17C2411yescharacteristic
629C22×Dic17C2414yes—
630C22×Dic17C2411yescharacteristic
631C22×Dic17C2414yes—
632C22×Dic17C2411yescharacteristic
633C22×Dic17C2411yescharacteristic
634C22×Dic17C2411yescharacteristic
635C22×Dic17C2414yes—
636#63254—232no—
637#63254—232no—
638#63252—232no—
639C2×D68—24no—
640C2×D68—42no—
641C2×D68C2414yes—
642C2×D68C2414yes—
643C2×C4×D17—24no—
644C2×C4×D17—24no—
645C2×C4×D17—24no—
646C2×C4×D17—24no—
647C2×C4×D17—24no—
648C2×C4×D17—24no—
649C2×C4×D17—24no—
650C2×C4×D17—24no—
651C2×C4×D17—232no—
652C2×C4×D17—42no—
653C2×C4×D17—42no—
654C2×C4×D17—42no—
655C2×C4×D17C2414yes—
656C2×C4×D17C2414yes—
657C2×C4×D17C2414yes—
658C2×C4×D17C2414yes—
659C2×C4×D17C2414yes—
660C2×C4×D17C2414yes—
661C2×C4×D17C2414yes—
662C2×C4×D17C2414yes—
663C2×C4×D17C2414yes—
664C2×C4×D17C2414yes—
665C2×C4×D17C2414yes—
666C2×Dic34—24no—
667C2×Dic34—24no—
668C2×Dic34—24no—
669C2×Dic34—42no—
670C2×Dic34C2414yes—
671C2×Dic34C2414yes—
672C2×Dic34C2414yes—
673C2×Dic34C2414yes—
674C4⋊C4×C17C2414yes—
675C4⋊C4×C17C2414yes—
676C4⋊C4×C17C2414yes—
677C4⋊C4×C17C2414yes—
678C4⋊C4×C17C2414yes—
679C4⋊C4×C17C2414yes—
680C4⋊C4×C17C2414yes—
681C4⋊C4×C17C2414yes—
682C22⋊C4×C17C2414yes—
683C22⋊C4×C17C2414yes—
684C22⋊C4×C17C2414yes—
685C22⋊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—
696C42×C17C2414yes—
697C42×C17C2414yes—
698C42×C17C2414yes—
699C22⋊Dic17C2414yes—
700C22⋊Dic17C2414yes—
701C22⋊Dic17C2414yes—
702C22⋊Dic17C2414yes—
703C22⋊Dic17C2414yes—
704C22⋊Dic17C2414yes—
705C22⋊Dic17C2414yes—
706C22⋊Dic17C2414yes—
707C22⋊Dic17C2414yes—
708C22⋊Dic17C2414yes—
709#63227C2414yes—
710#63227C2414yes—
711#63227C2414yes—
712#63227C2414yes—
713#63227C2414yes—
714#63227C2414yes—
715#63227C2414yes—
716#63227C2414yes—
717#63227C2414yes—
718#63227C2414yes—
719#63227C2414yes—
720#63227C2414yes—
721#63227C2414yes—
722#63227C2414yes—
723#63227C2414yes—
724#63227C2414yes—
725#63227C2414yes—
726#63227C2414yes—
727C4⋊Dic17C2414yes—
728C4⋊Dic17C2414yes—
729C4⋊Dic17C2414yes—
730C4⋊Dic17C2414yes—
731C4⋊Dic17C2414yes—
732C4⋊Dic17C2414yes—
733C4⋊Dic17C2414yes—
734C4⋊Dic17C2414yes—
735#63225C2414yes—
736#63225C2414yes—
737#63225C2414yes—
738#63225C2414yes—
739#63225C2414yes—
740#63225C2414yes—
741#63225C2414yes—
742#63225C2414yes—
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—
761C4×Dic17C2414yes—
762C4×Dic17C2414yes—
763C4×Dic17C2414yes—
764C4×Dic17C2414yes—
765C4×Dic17C2414yes—
766C4×Dic17C2414yes—
767C4×Dic17C2414yes—
768C4×Dic17C2414yes—
769C4×Dic17C2414yes—
770C4×Dic17C2414yes—
771C4×Dic17C2414yes—
772C4×Dic17C2414yes—
773C4×Dic17C2414yes—
774C4×Dic17C2414yes—
775C4×Dic17C2414yes—
776C4×Dic17C2414yes—
777C4×Dic17C2414yes—
778C4×Dic17C2414yes—
779C4×Dic17C2414yes—
780C2×#3475—171nomaximal, Sylow
781C23×C17—22no—
782C23×C17—22no—
783C23×C17—22no—
784C23×C17—22no—
785C23×C17—28no—
786C23×C17—22no—
787C23×C17—22no—
788C23×C17—22no—
789C23×C17—28no—
790C23×C17—22no—
791C23×C17—22no—
792C23×C17—22no—
793C23×C17—44no—
794C23×C17—416no—
795C23×C17C2×#4114yes—
796C23×C17C2×#4114yes—
797C23×C17C2512yes—
798C23×C17C2512yes—
799C23×C17C2512yes—
800C23×C17C2512yes—
801C23×C17C2511yescharacteristic
802C22×D17—22no—
803C22×D17—22no—
804C22×D17—28no—
805C22×D17—22no—
806C22×D17—22no—
807C22×D17—22no—
808C22×D17—22no—
809C22×D17—22no—
810C22×D17—22no—
811C22×D17—28no—
812C22×D17—44no—
813C22×D17—416no—
814C22×D17C2×#4114yes—
815C22×D17C2512yes—
816C22×D17C2512yes—
817C22×D17C2512yes—
818Q8×C17—44no—
819D4×C17—28no—
820D4×C17—28no—
821D4×C17—44no—
822C2×C4×C17—22no—
823C2×C4×C17—22no—
824C2×C4×C17—22no—
825C2×C4×C17—28no—
826C2×C4×C17—22no—
827C2×C4×C17—22no—
828C2×C4×C17—22no—
829C2×C4×C17—28no—
830C2×C4×C17—22no—
831C2×C4×C17—22no—
832C2×C4×C17—22no—
833C2×C4×C17—22no—
834C2×C4×C17—22no—
835C2×C4×C17—44no—
836C2×C4×C17—44no—
837C2×C4×C17—44no—
838C2×C4×C17C2512yes—
839C2×C4×C17C2512yes—
840C2×C4×C17C2512yes—
841C2×C4×C17C2512yes—
842C2×C4×C17C2512yes—
843C2×C4×C17C2512yes—
844C2×C4×C17C2512yes—
845C2×C4×C17C2512yes—
846C2×C4×C17C2512yes—
847C2×C4×C17C2512yes—
848C2×C4×C17C2512yes—
849C22⋊D17—28no—
850C22⋊D17—28no—
851C22⋊D17—28no—
852C22⋊D17—28no—
853C22⋊D17—28no—
854C22⋊D17—28no—
855C22⋊D17—28no—
856C22⋊D17—44no—
857C22⋊D17—44no—
858C22⋊D17C2×#41116yescomplemented
859C2×Dic17—22no—
860C2×Dic17—22no—
861C2×Dic17—22no—
862C2×Dic17—22no—
863C2×Dic17—28no—
864C2×Dic17—28no—
865C2×Dic17—22no—
866C2×Dic17—22no—
867C2×Dic17—22no—
868C2×Dic17—22no—
869C2×Dic17—22no—
870C2×Dic17—22no—
871C2×Dic17—28no—
872C2×Dic17—28no—
873C2×Dic17—28no—
874C2×Dic17—28no—
875C2×Dic17—28no—
876C2×Dic17—28no—
877C2×Dic17—28no—
878C2×Dic17—44no—
879C2×Dic17C2×#4114yes—
880C2×Dic17C2×#4114yes—
881C2×Dic17C2×#4114yes—
882C2×Dic17C2×#41116yescomplemented
883C2×Dic17C2512yes—
884C2×Dic17C2512yes—
885C2×Dic17C2512yes—
886C2×Dic17C2512yes—
887C2×Dic17C2512yes—
888C2×Dic17C2512yes—
889C2×Dic17C2512yes—
890C2×Dic17C2512yes—
891C2×Dic17C2512yes—
892C2×Dic17C2512yes—
893C2×Dic17C2512yes—
894C2×Dic17C2512yes—
895C2×Dic17C2512yes—
896D68—28no—
897D68—44no—
898C4×D17—28no—
899C4×D17—28no—
900C4×D17—28no—
901C4×D17—28no—
902C4×D17—28no—
903C4×D17—28no—
904C4×D17—28no—
905C4×D17—28no—
906C4×D17—44no—
907C4×D17—44no—
908C4×D17—44no—
909Dic34—28no—
910Dic34—28no—
911Dic34—28no—
912Dic34—44no—
913#3475—1732no—
914C2×#556—171no—
915C2×#555—171no—
916C2×#554—171no—
917C2×#553—171no—
918C2×#553—171no—
919C2×#552—171no—
920C2×#552—171no—
921C2×#552—171no—
922C2×#552—171no—
923C2×#551—171no—
924C2×#551—171no—
925C2×#551—171no—
926C2×#551D1711yescharacteristic, complemented
927C2×#547—171no—
928C2×#546—171no—
929C2×#546—171no—
930C2×#533—171no—
931C2×#529—171no—
932C2×#529—171no—
933C2×#529—171no—
934C2×#529—171no—
935C2×#529—171no—
936C2×#529—171no—
937C2×#525—171no—
938C2×#525—171no—
939C2×C4×#41—171no—
940C2×C4×#41—171no—
941C2×C4×#41—171no—
942C22×C4×D4—171no—
943C22×#117—171no—
944C22×#117—171no—
945C22×C17—22no—
946C22×C17—22no—
947C22×C17—22no—
948C22×C17—22no—
949C22×C17—28no—
950C22×C17—28no—
951C22×C17—22no—
952C22×C17—22no—
953C22×C17—22no—
954C22×C17—22no—
955C22×C17—22no—
956C22×C17—22no—
957C22×C17—416no—
958C22×C17—44no—
959C22×C17—44no—
960C22×C17C22×#4114yes—
961C22×C17C22×#4114yes—
962C22×C17C22×#4112yes—
963C22×C17C22×#4112yes—
964C22×C17#58512yes—
965C22×C17C2611yescharacteristic
966C2×D17—22no—
967C2×D17—22no—
968C2×D17—28no—
969C2×D17—22no—
970C2×D17—22no—
971C2×D17—22no—
972C2×D17—22no—
973C2×D17—22no—
974C2×D17—22no—
975C2×D17—416no—
976C2×D17—44no—
977C2×D17—44no—
978C2×D17C22×#4114yes—
979C4×C17—22no—
980C4×C17—22no—
981C4×C17—22no—
982C4×C17—22no—
983C4×C17—22no—
984C4×C17—22no—
985C4×C17—22no—
986C4×C17—22no—
987C4×C17—22no—
988C4×C17—22no—
989C4×C17—22no—
990Dic17—22no—
991Dic17—22no—
992Dic17—22no—
993Dic17—22no—
994Dic17—22no—
995Dic17—22no—
996Dic17—22no—
997Dic17—22no—
998Dic17—22no—
999Dic17—22no—
1000Dic17C22×#4114yes—
1001Dic17C22×#4114yes—
1002Dic17C22×#4114yes—
1003C22×#41—171no—
1004C22×#41—171no—
1005C22×#41—171no—
1006C23×D4—171no—
1007C24×C4—171no—
1008C24×C4—171no—
1009#556—1716no—
1010#555—1716no—
1011#554—1716no—
1012#553—1716no—
1013#553—1716no—
1014#552—1716no—
1015#552—1716no—
1016#552—1716no—
1017#552—1716no—
1018#551—1716no—
1019#551—1716no—
1020#551—1716no—
1021#551C2×D17116yescomplemented
1022#547—1716no—
1023#546—1716no—
1024#546—1716no—
1025#533—1716no—
1026C2×C4⋊Q8—171no—
1027C2×C4⋊Q8—171no—
1028#529—1716no—
1029#529—1716no—
1030#529—1716no—
1031#529—1716no—
1032#529—1716no—
1033#529—1716no—
1034C2×#126—171no—
1035C2×#126—171no—
1036C2×#126—171no—
1037C2×#126—171no—
1038C2×#126—171no—
1039C2×#126—171no—
1040C2×#126—171no—
1041C2×#126—171no—
1042C2×#126—171no—
1043C2×#126—171no—
1044C2×#126C2×D1711yescharacteristic, complemented
1045C2×#126C2×D1711yescharacteristic, complemented
1046C2×#125—171no—
1047C2×#125—171no—
1048C2×#125—171no—
1049C2×#125—171no—
1050C2×#125—171no—
1051C2×#125—171no—
1052C2×#125—171no—
1053C2×#125—171no—
1054C2×#124—171no—
1055C2×#124—171no—
1056C2×#124—171no—
1057C2×#124—171no—
1058C2×#124—171no—
1059C2×#124C2×D1711yescharacteristic, complemented
1060#525—1716no—
1061#525—1716no—
1062C2×#123—171no—
1063C2×#123—171no—
1064C2×#123—171no—
1065C2×#123—171no—
1066C2×#123—171no—
1067C2×#123—171no—
1068C2×#123—171no—
1069C2×#123—171no—
1070C2×#123—171no—
1071C2×#123—171no—
1072C2×#123—171no—
1073C2×#123—171no—
1074C2×#123—171no—
1075C2×#123C2×D1711yescharacteristic
1076C2×#123C2×D1711yescharacteristic, complemented
1077C2×#123C2×D1711yescharacteristic, complemented
1078C2×C22⋊Q8—171no—
1079C2×C22⋊Q8—171no—
1080C2×C22⋊Q8—171no—
1081C2×C22⋊Q8—171no—
1082C2×C22⋊Q8—171no—
1083C2×C22⋊Q8—171no—
1084C2×C22⋊Q8—171no—
1085C2×C22⋊Q8—171no—
1086C2×C22⋊Q8—171no—
1087C2×C22⋊Q8—171no—
1088C2×C22⋊Q8—171no—
1089C2×C22⋊Q8—171no—
1090C2×C22⋊Q8C2×D1711yescharacteristic
1091C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1092C2×#121—171no—
1093C2×#121—171no—
1094C2×#121—171no—
1095C2×#121—171no—
1096C2×#121—171no—
1097C2×#121—171no—
1098C2×#121—171no—
1099C2×#121—171no—
1100C2×#121—171no—
1101C2×#121—171no—
1102C2×#120—171no—
1103C2×#120—171no—
1104C2×#120—171no—
1105C2×#120C2×D1711yescharacteristic
1106C4×#41—1716no—
1107C4×#41—1716no—
1108C4×#41—1716no—
1109C2×C4×Q8—171no—
1110C2×C4×Q8—171no—
1111C2×C4×Q8—171no—
1112C2×C4×Q8—171no—
1113C2×C4×Q8—171no—
1114C2×C4×Q8—171no—
1115C2×C4×Q8—171no—
1116C2×C4×Q8—171no—
1117C2×C4×D4—171no—
1118C2×C4×D4—171no—
1119C2×C4×D4—171no—
1120C2×C4×D4—171no—
1121C2×C4×D4—171no—
1122C2×C4×D4—171no—
1123C2×C4×D4—171no—
1124C2×C4×D4—171no—
1125C2×C4×D4—171no—
1126C2×C4×D4—171no—
1127C2×C4×D4—171no—
1128C2×C4×D4—171no—
1129C2×C4×D4—171no—
1130C2×C4×D4—171no—
1131C2×C4×D4—171no—
1132C2×C4×D4—171no—
1133C2×C4×D4—171no—
1134C2×C4×D4—171no—
1135C2×C4×D4—171no—
1136C2×C4×D4—171no—
1137C2×C4×D4—1716no—
1138C2×C4×D4—171no—
1139C2×C4×D4—171no—
1140C2×C4×D4—171no—
1141C2×C4×D4—171no—
1142C2×C4×D4—171no—
1143C2×C4×D4—171no—
1144C2×C4×D4C2×D1711yescharacteristic
1145C2×C4×D4C2×D1711yescharacteristic, complemented
1146C2×#117—171no—
1147C2×#117—1716no—
1148C2×#117—171no—
1149C2×#117—171no—
1150C2×#117—171no—
1151C2×#117—171no—
1152C2×#117—171no—
1153C2×#117—171no—
1154C2×#117—171no—
1155C2×#117—171no—
1156C2×#117—171no—
1157C2×#117—171no—
1158C2×#117—171no—
1159C2×#117—171no—
1160C2×#117—171no—
1161C2×#117—1716no—
1162C2×#117—171no—
1163C2×#117—171no—
1164C2×#117—171no—
1165C2×#117—171no—
1166C2×#117—171no—
1167C2×#117—171no—
1168C2×#117—171no—
1169C2×#117C2×D1711yescharacteristic
1170C2×#117C2×D1711yescharacteristic, complemented
1171C22×C4⋊C4—171no—
1172C22×C4⋊C4—171no—
1173C22×C4⋊C4—171no—
1174C22×C4⋊C4—171no—
1175C22×C4⋊C4—171no—
1176C22×C22⋊C4—171no—
1177C22×C22⋊C4—171no—
1178C22×C22⋊C4—171no—
1179C22×C22⋊C4—171no—
1180C22×C22⋊C4C2×D1711yescharacteristic
1181C22×C22⋊C4C2×D1711yescharacteristic
1182C22×C42—171no—
1183C22×C42—171no—
1184C22×C42—171no—
1185C22×C42—171no—
1186C22×C42—171no—
1187C22×C42—171no—
1188C22×C42—171no—
1189C2×C17—24no—
1190C2×C17—24no—
1191C2×C17—42no—
1192C2×C17—42no—
1193C2×C17#347514yescomplemented
1194C2×C17C23×#4111yescharacteristic
1195C2×C17C23×#4111yescharacteristic
1196C2×C17C2×#58511yescharacteristic
1197D17—24no—
1198D17—42no—
1199D17—42no—
1200C25—171no—
1201C25C22×D1711yescharacteristic
1202C2×#41—178no—
1203C2×#41—178no—
1204C2×#41—178no—
1205C2×#41—348no—
1206C2×#41—348no—
1207C2×#41—348no—
1208C22×Q8—171no—
1209C22×Q8—171no—
1210C22×Q8—171no—
1211C22×Q8—171no—
1212C22×Q8C22×D1711yescharacteristic
1213C22×D4—171no—
1214C22×D4—171no—
1215C22×D4—171no—
1216C22×D4—171no—
1217C22×D4—171no—
1218C22×D4—171no—
1219C22×D4—171no—
1220C22×D4—171no—
1221C22×D4—178no—
1222C22×D4—171no—
1223C22×D4—171no—
1224C22×D4—171no—
1225C22×D4—171no—
1226C22×D4—348no—
1227C22×D4C22×D1711yescharacteristic
1228C22×D4C22×D1711yescharacteristic
1229C22×D4C22×D1711yescharacteristic
1230C23×C4—171no—
1231C23×C4—171no—
1232C23×C4—171no—
1233C23×C4—171no—
1234C23×C4—171no—
1235C23×C4—171no—
1236C23×C4—171no—
1237C23×C4—178no—
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—178no—
1248C23×C4—171no—
1249C23×C4—171no—
1250C23×C4—171no—
1251C23×C4—171no—
1252C23×C4—171no—
1253C23×C4—171no—
1254C23×C4—348no—
1255C23×C4—348no—
1256C23×C4C22×D1711yescharacteristic
1257C23×C4C22×D1711yescharacteristic
1258C23×C4C22×D1711yescharacteristic
1259C23×C4C22×D1711yescharacteristic
1260C23×C4C22×D1711yescharacteristic
1261C4⋊Q8—178no—
1262C4⋊Q8—178no—
1263#126—178no—
1264#126—178no—
1265#126—178no—
1266#126—178no—
1267#126—178no—
1268#126—178no—
1269#126—178no—
1270#126—178no—
1271#126—178no—
1272#126—178no—
1273#126C22×D1718yescomplemented
1274#126C22×D1718yescomplemented
1275#125—178no—
1276#125—178no—
1277#125—178no—
1278#125—178no—
1279#125—178no—
1280#125—178no—
1281#125—178no—
1282#125—178no—
1283#124—178no—
1284#124—178no—
1285#124—178no—
1286#124—178no—
1287#124—178no—
1288#124C22×D1718yescomplemented
1289#123—178no—
1290#123—178no—
1291#123—178no—
1292#123—178no—
1293#123—178no—
1294#123—178no—
1295#123—178no—
1296#123—178no—
1297#123—178no—
1298#123—178no—
1299#123—178no—
1300#123—178no—
1301#123—178no—
1302#123C22×D1718yes—
1303#123C22×D1718yescomplemented
1304#123C22×D1718yescomplemented
1305C22⋊Q8—178no—
1306C22⋊Q8—178no—
1307C22⋊Q8—178no—
1308C22⋊Q8—178no—
1309C22⋊Q8—178no—
1310C22⋊Q8—178no—
1311C22⋊Q8—178no—
1312C22⋊Q8—178no—
1313C22⋊Q8—178no—
1314C22⋊Q8—178no—
1315C22⋊Q8—178no—
1316C22⋊Q8—178no—
1317C22⋊Q8C22×D1718yes—
1318C22⋊Q8C22×D1718yescomplemented
1319#121—178no—
1320#121—178no—
1321#121—178no—
1322#121—178no—
1323#121—178no—
1324#121—178no—
1325#121—178no—
1326#121—178no—
1327#121—178no—
1328#121—178no—
1329#120—178no—
1330#120—178no—
1331#120—178no—
1332#120C22×D1718yes—
1333C4×Q8—178no—
1334C4×Q8—178no—
1335C4×Q8—178no—
1336C4×Q8—178no—
1337C4×Q8—178no—
1338C4×Q8—178no—
1339C4×Q8—178no—
1340C4×Q8—178no—
1341C4×D4—178no—
1342C4×D4—178no—
1343C4×D4—178no—
1344C4×D4—178no—
1345C4×D4—178no—
1346C4×D4—178no—
1347C4×D4—178no—
1348C4×D4—178no—
1349C4×D4—178no—
1350C4×D4—178no—
1351C4×D4—178no—
1352C4×D4—178no—
1353C4×D4—178no—
1354C4×D4—178no—
1355C4×D4—178no—
1356C4×D4—178no—
1357C4×D4—178no—
1358C4×D4—178no—
1359C4×D4—178no—
1360C4×D4—178no—
1361C4×D4—178no—
1362C4×D4—178no—
1363C4×D4—178no—
1364C4×D4—178no—
1365C4×D4—178no—
1366C4×D4—178no—
1367C4×D4C22×D1718yes—
1368C4×D4C22×D1718yescomplemented
1369#117—178no—
1370#117—178no—
1371#117—178no—
1372#117—178no—
1373#117—178no—
1374#117—178no—
1375#117—178no—
1376#117—178no—
1377#117—178no—
1378#117—178no—
1379#117—178no—
1380#117—178no—
1381#117—178no—
1382#117—178no—
1383#117—178no—
1384#117—178no—
1385#117—178no—
1386#117—178no—
1387#117—178no—
1388#117—178no—
1389#117—178no—
1390#117C22×D1718yes—
1391#117C22×D1718yescomplemented
1392C2×C4⋊C4—171no—
1393C2×C4⋊C4—171no—
1394C2×C4⋊C4—171no—
1395C2×C4⋊C4—171no—
1396C2×C4⋊C4—171no—
1397C2×C4⋊C4—171no—
1398C2×C4⋊C4—171no—
1399C2×C4⋊C4—171no—
1400C2×C4⋊C4—171no—
1401C2×C4⋊C4—171no—
1402C2×C4⋊C4—171no—
1403C2×C4⋊C4—171no—
1404C2×C4⋊C4—171no—
1405C2×C4⋊C4—178no—
1406C2×C4⋊C4—178no—
1407C2×C4⋊C4—171no—
1408C2×C4⋊C4—171no—
1409C2×C4⋊C4—171no—
1410C2×C4⋊C4—178no—
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—171no—
1419C2×C4⋊C4—171no—
1420C2×C4⋊C4—171no—
1421C2×C4⋊C4—171no—
1422C2×C4⋊C4—171no—
1423C2×C4⋊C4—171no—
1424C2×C4⋊C4—171no—
1425C2×C4⋊C4—171no—
1426C2×C4⋊C4—171no—
1427C2×C4⋊C4—171no—
1428C2×C4⋊C4—171no—
1429C2×C4⋊C4—178no—
1430C2×C4⋊C4—178no—
1431C2×C4⋊C4C22×D1711yescharacteristic
1432C2×C4⋊C4C22×D1711yescharacteristic
1433C2×C4⋊C4C22×D1711yescharacteristic
1434C2×C4⋊C4C22×D1711yescharacteristic
1435C2×C4⋊C4C22×D1711yescharacteristic
1436C2×C4⋊C4C22×D1711yescharacteristic
1437C2×C4⋊C4C22×D1711yescharacteristic
1438C2×C4⋊C4C22×D1711yescharacteristic
1439C2×C22⋊C4—171no—
1440C2×C22⋊C4—171no—
1441C2×C22⋊C4—171no—
1442C2×C22⋊C4—171no—
1443C2×C22⋊C4—171no—
1444C2×C22⋊C4—178no—
1445C2×C22⋊C4—171no—
1446C2×C22⋊C4—171no—
1447C2×C22⋊C4—171no—
1448C2×C22⋊C4—171no—
1449C2×C22⋊C4—171no—
1450C2×C22⋊C4—171no—
1451C2×C22⋊C4—171no—
1452C2×C22⋊C4—171no—
1453C2×C22⋊C4—171no—
1454C2×C22⋊C4—171no—
1455C2×C22⋊C4—171no—
1456C2×C22⋊C4—171no—
1457C2×C22⋊C4—171no—
1458C2×C22⋊C4—178no—
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—178no—
1470C2×C22⋊C4—178no—
1471C2×C22⋊C4C22×D1711yescharacteristic
1472C2×C22⋊C4C22×D1711yescharacteristic
1473C2×C22⋊C4C22×D1711yescharacteristic
1474C2×C22⋊C4C22×D1711yescharacteristic
1475C2×C22⋊C4C22×D1711yescharacteristic
1476C2×C22⋊C4C22×D1718yes—
1477C2×C22⋊C4C22×D1711yescharacteristic
1478C2×C22⋊C4C22×D1711yescharacteristic
1479C2×C22⋊C4C22×D1711yescharacteristic
1480C2×C22⋊C4C22×D1711yescharacteristic
1481C2×C22⋊C4C22×D1718yes—
1482C2×C22⋊C4C22×D1711yescharacteristic
1483C2×C22⋊C4C22×D1711yescharacteristic
1484C2×C22⋊C4C22×D1711yescharacteristic
1485C2×C22⋊C4C22×D1711yescharacteristic
1486C2×C22⋊C4C22×D1711yescharacteristic
1487C2×C42—171no—
1488C2×C42—171no—
1489C2×C42—171no—
1490C2×C42—171no—
1491C2×C42—171no—
1492C2×C42—171no—
1493C2×C42—171no—
1494C2×C42—171no—
1495C2×C42—171no—
1496C2×C42—171no—
1497C2×C42—171no—
1498C2×C42—171no—
1499C2×C42—171no—
1500C2×C42—171no—
1501C2×C42—178no—
1502C2×C42—178no—
1503C2×C42—171no—
1504C2×C42—171no—
1505C2×C42—171no—
1506C2×C42—171no—
1507C2×C42—171no—
1508C2×C42—178no—
1509C2×C42—178no—
1510C2×C42—178no—
1511C2×C42—178no—
1512C2×C42—178no—
1513C2×C42C22×D1711yescharacteristic
1514C2×C42C22×D1711yescharacteristic
1515C2×C42C22×D1711yescharacteristic
1516C17C2×#347511yescharacteristic, complemented, Sylow
1517C24—24no—
1518C24—24no—
1519C24—42no—
1520C24—171no—
1521C24—171no—
1522C24—171no—
1523C24—174no—
1524C24—344no—
1525C24—344no—
1526C24—682no—
1527C24C23×D1711yescharacteristic
1528C24C23×D1711yescharacteristic
1529C24C23×D1714yes—
1530C24C23×D1711yescharacteristic
1531C24C23×D1711yescharacteristic
1532#41—3432no—
1533#41—3432no—
1534#41—3432no—
1535C2×Q8—42no—
1536C2×Q8—174no—
1537C2×Q8—174no—
1538C2×Q8—174no—
1539C2×Q8—174no—
1540C2×Q8—344no—
1541C2×Q8—344no—
1542C2×Q8—344no—
1543C2×Q8—682no—
1544C2×Q8C23×D1714yes—
1545C2×D4—24no—
1546C2×D4—24no—
1547C2×D4—42no—
1548C2×D4—178no—
1549C2×D4—174no—
1550C2×D4—174no—
1551C2×D4—174no—
1552C2×D4—174no—
1553C2×D4—174no—
1554C2×D4—174no—
1555C2×D4—174no—
1556C2×D4—174no—
1557C2×D4—174no—
1558C2×D4—174no—
1559C2×D4—174no—
1560C2×D4—174no—
1561C2×D4—344no—
1562C2×D4—344no—
1563C2×D4—344no—
1564C2×D4—3432no—
1565C2×D4—344no—
1566C2×D4—344no—
1567C2×D4—344no—
1568C2×D4—344no—
1569C2×D4—344no—
1570C2×D4—682no—
1571C2×D4—682no—
1572C2×D4—682no—
1573C2×D4C23×D1714yes—
1574C2×D4C23×D1714yes—
1575C2×D4C23×D1714yes—
1576C22×C4—24no—
1577C22×C4—24no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—178no—
1582C22×C4—174no—
1583C22×C4—171no—
1584C22×C4—171no—
1585C22×C4—171no—
1586C22×C4—174no—
1587C22×C4—174no—
1588C22×C4—174no—
1589C22×C4—174no—
1590C22×C4—174no—
1591C22×C4—174no—
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—174no—
1606C22×C4—174no—
1607C22×C4—174no—
1608C22×C4—174no—
1609C22×C4—174no—
1610C22×C4—174no—
1611C22×C4—174no—
1612C22×C4—174no—
1613C22×C4—174no—
1614C22×C4—174no—
1615C22×C4—174no—
1616C22×C4—174no—
1617C22×C4—344no—
1618C22×C4—344no—
1619C22×C4—344no—
1620C22×C4—344no—
1621C22×C4—3432no—
1622C22×C4—344no—
1623C22×C4—344no—
1624C22×C4—344no—
1625C22×C4—344no—
1626C22×C4—344no—
1627C22×C4—344no—
1628C22×C4—344no—
1629C22×C4—344no—
1630C22×C4—3432no—
1631C22×C4—344no—
1632C22×C4—344no—
1633C22×C4—344no—
1634C22×C4—344no—
1635C22×C4—344no—
1636C22×C4—682no—
1637C22×C4—682no—
1638C22×C4—682no—
1639C22×C4—682no—
1640C22×C4C23×D1714yes—
1641C22×C4C23×D1714yes—
1642C22×C4C23×D1711yescharacteristic
1643C22×C4C23×D1711yescharacteristic
1644C22×C4C23×D1711yescharacteristic
1645C22×C4C23×D1711yescharacteristic
1646C22×C4C23×D1711yescharacteristic
1647C22×C4C23×D1711yescharacteristic
1648C22×C4C23×D1711yescharacteristic
1649C22×C4C23×D1711yescharacteristic
1650C22×C4C23×D1711yescharacteristic
1651C22×C4C23×D1711yescharacteristic
1652C22×C4C23×D1711yescharacteristic
1653C22×C4C23×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⋊C4C23×D1714yes—
1691C4⋊C4C23×D1714yes—
1692C4⋊C4C23×D1714yes—
1693C4⋊C4C23×D1714yes—
1694C4⋊C4C23×D1714yes—
1695C4⋊C4C23×D1714yes—
1696C4⋊C4C23×D1714yes—
1697C4⋊C4C23×D1714yes—
1698C22⋊C4—174no—
1699C22⋊C4—174no—
1700C22⋊C4—174no—
1701C22⋊C4—174no—
1702C22⋊C4—174no—
1703C22⋊C4—174no—
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⋊C4C23×D1714yes—
1727C22⋊C4C23×D1714yes—
1728C22⋊C4C23×D1714yes—
1729C22⋊C4C23×D1714yes—
1730C22⋊C4C23×D1714yes—
1731C22⋊C4C23×D1714yes—
1732C22⋊C4C23×D1714yes—
1733C22⋊C4C23×D1714yes—
1734C22⋊C4C23×D1714yes—
1735C22⋊C4C23×D1714yes—
1736C22⋊C4C23×D1714yes—
1737C22⋊C4C23×D1714yes—
1738C22⋊C4C23×D1714yes—
1739C22⋊C4C23×D1714yes—
1740C42—174no—
1741C42—174no—
1742C42—174no—
1743C42—174no—
1744C42—174no—
1745C42—174no—
1746C42—174no—
1747C42—174no—
1748C42—174no—
1749C42—174no—
1750C42—174no—
1751C42—174no—
1752C42—174no—
1753C42—174no—
1754C42—174no—
1755C42—174no—
1756C42—174no—
1757C42—174no—
1758C42—174no—
1759C42C23×D1714yes—
1760C42C23×D1714yes—
1761C42C23×D1714yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—28no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—28no—
1771C23—22no—
1772C23—22no—
1773C23—22no—
1774C23—44no—
1775C23—416no—
1776C23—174no—
1777C23—172no—
1778C23—172no—
1779C23—172no—
1780C23—348no—
1781C23—342no—
1782C23—342no—
1783C23—348no—
1784C23—342no—
1785C23—342no—
1786C23—342no—
1787C23—342no—
1788C23—342no—
1789C23—342no—
1790C23—684no—
1791C23—6816no—
1792C23#41×D1714yes—
1793C23#41×D1714yes—
1794C23C24×D1712yes—
1795C23C24×D1712yes—
1796C23C24×D1712yes—
1797C23C24×D1712yes—
1798C23C24×D1711yescharacteristic
1799Q8—44no—
1800Q8—348no—
1801Q8—348no—
1802Q8—348no—
1803Q8—684no—
1804D4—28no—
1805D4—28no—
1806D4—44no—
1807D4—1716no—
1808D4—348no—
1809D4—348no—
1810D4—348no—
1811D4—348no—
1812D4—348no—
1813D4—348no—
1814D4—348no—
1815D4—348no—
1816D4—684no—
1817D4—684no—
1818D4—684no—
1819C2×C4—28no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—28no—
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—174no—
1836C2×C4—174no—
1837C2×C4—1716no—
1838C2×C4—174no—
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—172no—
1851C2×C4—172no—
1852C2×C4—348no—
1853C2×C4—348no—
1854C2×C4—348no—
1855C2×C4—348no—
1856C2×C4—348no—
1857C2×C4—348no—
1858C2×C4—348no—
1859C2×C4—348no—
1860C2×C4—348no—
1861C2×C4—348no—
1862C2×C4—348no—
1863C2×C4—348no—
1864C2×C4—348no—
1865C2×C4—348no—
1866C2×C4—348no—
1867C2×C4—348no—
1868C2×C4—342no—
1869C2×C4—342no—
1870C2×C4—342no—
1871C2×C4—342no—
1872C2×C4—342no—
1873C2×C4—342no—
1874C2×C4—342no—
1875C2×C4—348no—
1876C2×C4—342no—
1877C2×C4—342no—
1878C2×C4—342no—
1879C2×C4—684no—
1880C2×C4—684no—
1881C2×C4—684no—
1882C2×C4—684no—
1883C2×C4C24×D1712yes—
1884C2×C4C24×D1712yes—
1885C2×C4C24×D1712yes—
1886C2×C4C24×D1712yes—
1887C2×C4C24×D1712yes—
1888C2×C4C24×D1712yes—
1889C2×C4C24×D1712yes—
1890C2×C4C24×D1712yes—
1891C2×C4C24×D1712yes—
1892C2×C4C24×D1712yes—
1893C2×C4C24×D1712yes—
1894C22—28no—
1895C22—28no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—416no—
1907C22—44no—
1908C22—44no—
1909C22—174no—
1910C22—348no—
1911C22—342no—
1912C22—342no—
1913C22—342no—
1914C22—342no—
1915C22—342no—
1916C22—342no—
1917C22—342no—
1918C22—342no—
1919C22—6816no—
1920C22—684no—
1921C22—684no—
1922C22C2×#41×D1714yes—
1923C22C2×#41×D1714yes—
1924C22C2×#41×D1712yes—
1925C22C2×#41×D1712yes—
1926C22#1176364412yes—
1927C22C25×D1711yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—174no—
1940C4—174no—
1941C4—174no—
1942C4—342no—
1943C4—342no—
1944C4—342no—
1945C4—342no—
1946C4—342no—
1947C4—342no—
1948C4—342no—
1949C4—342no—
1950C4—342no—
1951C4—342no—
1952C2—24no—
1953C2—24no—
1954C2—42no—
1955C2—42no—
1956C2—344no—
1957C2—682no—
1958C2—682no—
1959C2#1454233914yesdirect product factor
1960C2C22×#41×D1711yescharacteristic
1961C2C22×#41×D1711yescharacteristic
1962C2C2×#1176364411yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#551C2
socleC23×C17C25
hypercenterC2×#551D17
hypocenterC17C2×#3475
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #14542339C2direct (N × H)
2. C2×#11763526C2semidirect
3. C2×#11763521C2semidirect
4. C2×#11763513C2semidirect
5. C2×#11763508C2semidirect
6. C2×#11763504C2semidirect
7. C2×#11763496C2semidirect
8. C2×#11763495C2semidirect
9. C2×#11763492C2semidirect
10. C2×#11763492C2semidirect
11. C2×#11763488C2semidirect
12. C2×#11763486C2semidirect
13. C2×#11763485C2semidirect
14. C2×#11763457C2semidirect
15. C2×#11763449C2semidirect
16. C2×#11763446C2semidirect
17. C2×#11763361C2semidirect
18. C2×#11763345C2semidirect
19. C2×#11763342C2semidirect
20. C2×#11763342C2semidirect
21. C2×#11763338C2semidirect
22. C2×#11763336C2semidirect
23. C2×#11763336C2semidirect
24. C2×#11763317C2semidirect
25. C2×#11763315C2semidirect
26. C2×#11763277C2semidirect
27. C2×C4×#63254C2semidirect
28. C2×C4×#63254C2semidirect
29. C22×#10587567C2semidirect
30. C22×#10587563C2semidirect
31. C2×#117×D17C2semidirect
32. C2×C17×#551C2semidirect
39. #11763526C22semidirect
40. #11763521C22semidirect
41. #11763513C22semidirect
42. #11763508C22semidirect
43. #11763504C22semidirect
44. #11763496C22semidirect
45. #11763495C22semidirect
46. #11763492C22semidirect
47. #11763492C22semidirect
48. #11763488C22semidirect
49. #11763486C22semidirect
50. #11763485C22semidirect
51. #11763457C22semidirect
52. #11763449C22semidirect
53. #11763446C22semidirect
54. #11763361C22semidirect
55. C2×#10587574C22semidirect
56. C2×#10587630C22semidirect
57. #11763345C22semidirect
58. #11763342C22semidirect
59. #11763342C22semidirect
60. #11763338C22semidirect
61. #11763336C22semidirect
62. #11763336C22semidirect
63. C2×#10587584C22semidirect
64. C2×#10587584C22semidirect
65. C2×#10587584C22semidirect
66. C2×#10587584C22semidirect
67. C2×#10587562C22semidirect
68. C2×#10587562C22semidirect
69. C2×#10587565C22semidirect
70. C2×#10587565C22semidirect
71. C2×#10587565C22semidirect
72. C2×#10587565C22semidirect
73. C2×#10587556C22semidirect
74. C2×#10587576C22semidirect
75. C2×#10587575C22semidirect
76. C2×#10587575C22semidirect
77. C2×#10587575C22semidirect
78. C2×#10587575C22semidirect
79. C2×#10587575C22semidirect
80. C2×#10587575C22semidirect
81. C2×#10587633C22semidirect
84. C2×#10587571C22semidirect
85. C2×#10587571C22semidirect
86. #11763317C22semidirect
87. #11763315C22semidirect
88. C2×#10587580C22semidirect
89. C2×#10587580C22semidirect
92. C2×#10587572C22semidirect
95. C2×#10587615C22semidirect
98. C2×#10587569C22semidirect
99. C2×#10587569C22semidirect
102. C2×#10587582C22semidirect
103. C2×#10587582C22semidirect
104. C2×#10587582C22semidirect
105. C2×#10587582C22semidirect
108. C2×#10587564C22semidirect
109. C2×#10587564C22semidirect
110. C2×#10587564C22semidirect
111. C2×#10587564C22semidirect
112. C2×#10587632C22semidirect
116. C2×#10587570C22semidirect
117. C2×#10587570C22semidirect
120. C2×#10587625C22semidirect
121. C2×#10587625C22semidirect
126. #11763277C22semidirect
127. C4×#63254C22semidirect
128. C4×#63254C22semidirect
129. C2×Q8×Dic17C22semidirect
130. C2×C4×Dic34C22semidirect
131. C2×C4×Dic34C22semidirect
132. C2×#10587573C22semidirect
133. C2×#10587573C22semidirect
134. C2×#10587573C22semidirect
135. C2×#10587573C22semidirect
136. C2×#10587573C22semidirect
138. C2×D4×Dic17C22semidirect
139. C2×D4×Dic17C22semidirect
140. C2×#10587579C22semidirect
141. C2×#10587579C22semidirect
142. C2×#10587579C22semidirect
145. C2×C4×C22⋊D17C22semidirect
146. C2×C4×C22⋊D17C22semidirect
157. C2×#10587567C22semidirect
158. C2×#10587567C22semidirect
159. C2×#10587567C22semidirect
160. C2×#10587567C22semidirect
161. C2×#10587567C22semidirect
162. C2×#10587567C22semidirect
163. C2×#10587567C22semidirect
165. C2×#10587578C22semidirect
166. C2×#10587578C22semidirect
167. C2×#10587578C22semidirect
168. C2×#10587578C22semidirect
169. C2×#10587558C22semidirect
170. C2×#10587558C22semidirect
171. C2×#10587558C22semidirect
172. C2×#10587558C22semidirect
178. C2×#10587563C22semidirect
179. C2×#10587563C22semidirect
180. C2×#10587563C22semidirect
181. C2×#10587563C22semidirect
182. C2×#10587563C22semidirect
183. C2×#10587563C22semidirect
184. C2×#10587563C22semidirect
185. C2×#10587563C22semidirect
186. #117×D17C22semidirect
188. C22×#63225C22semidirect
189. C22×#63225C22semidirect
190. C2×C4⋊C4×D17C22semidirect
191. C2×C4⋊C4×D17C22semidirect
197. C22×C4×Dic17C22semidirect
198. C22×C4×Dic17C22semidirect
199. C22×C4×Dic17C22semidirect
200. C2×C42×D17C22semidirect
201. C2×C42×D17C22semidirect
202. C2×C42×D17C22semidirect
203. C17×#551C22semidirect
204. C2×C17×#126C22semidirect
205. C2×C17×#126C22semidirect
206. C2×C17×#124C22semidirect
208. C2×C17×#123C22semidirect
209. C2×C17×#123C22semidirect
211. C2×C17×C22⋊Q8C22semidirect
214. C2×C4×D4×C17C22semidirect
216. C2×C17×#117C22semidirect
280. C17×#126C23semidirect
281. C17×#126C23semidirect
282. C17×#124C23semidirect
284. C17×#123C23semidirect
285. C17×#123C23semidirect
287. C17×C22⋊Q8C23semidirect
290. C4×D4×C17C23semidirect
292. C17×#117C23semidirect
332. #10587633C23semidirect
333. #10587632C23semidirect
334. Q8×Dic17C23semidirect
335. #10587630C23semidirect
338. #10587625C23semidirect
339. #10587625C23semidirect
344. D4×Dic17C23semidirect
345. D4×Dic17C23semidirect
349. #10587615C23semidirect
352. C4×C22⋊D17C23semidirect
353. C4×C22⋊D17C23semidirect
410. C2×#63225C23semidirect
411. C2×#63225C23semidirect
432. C2×C4×Dic17C23semidirect
433. C2×C4×Dic17C23semidirect
434. C2×C4×Dic17C23semidirect
435. #10587584C23semidirect
436. #10587584C23semidirect
437. #10587584C23semidirect
438. #10587584C23semidirect
439. #10587582C23semidirect
440. #10587582C23semidirect
441. #10587582C23semidirect
442. #10587582C23semidirect
443. #10587580C23semidirect
444. #10587580C23semidirect
445. #10587579C23semidirect
446. #10587579C23semidirect
447. #10587579C23semidirect
448. #10587578C23semidirect
449. #10587578C23semidirect
450. #10587578C23semidirect
451. #10587578C23semidirect
452. C4⋊C4×D17C23semidirect
453. C4⋊C4×D17C23semidirect
454. #10587576C23semidirect
455. #10587575C23semidirect
456. #10587575C23semidirect
457. #10587575C23semidirect
458. #10587575C23semidirect
459. #10587575C23semidirect
460. #10587575C23semidirect
461. #10587574C23semidirect
462. #10587573C23semidirect
463. #10587573C23semidirect
464. #10587573C23semidirect
465. #10587573C23semidirect
466. #10587573C23semidirect
469. #10587572C23semidirect
472. #10587571C23semidirect
473. #10587571C23semidirect
476. #10587570C23semidirect
477. #10587570C23semidirect
480. #10587569C23semidirect
481. #10587569C23semidirect
493. #10587567C23semidirect
494. #10587567C23semidirect
495. #10587567C23semidirect
496. #10587567C23semidirect
497. #10587567C23semidirect
498. #10587567C23semidirect
501. #10587565C23semidirect
502. #10587565C23semidirect
503. #10587565C23semidirect
504. #10587565C23semidirect
507. #10587564C23semidirect
508. #10587564C23semidirect
509. #10587564C23semidirect
510. #10587564C23semidirect
516. #10587563C23semidirect
517. #10587563C23semidirect
518. #10587563C23semidirect
519. #10587563C23semidirect
520. #10587563C23semidirect
521. #10587563C23semidirect
522. #10587563C23semidirect
523. #10587562C23semidirect
524. #10587562C23semidirect
525. #10587558C23semidirect
526. #10587558C23semidirect
527. #10587558C23semidirect
528. #10587558C23semidirect
529. C42×D17C23semidirect
530. C42×D17C23semidirect
531. C42×D17C23semidirect
532. #10587556C23semidirect
533. C4×Dic34C23semidirect
534. C4×Dic34C23semidirect
589. C2×C22⋊D17#41semidirect
611. C22×Dic17#41semidirect
858. C22⋊D17C2×#41semidirect
882. C2×Dic17C2×#41semidirect
926. C2×#551D17semidirect
1021. #551C2×D17semidirect
1044. C2×#126C2×D17semidirect
1045. C2×#126C2×D17semidirect
1059. C2×#124C2×D17semidirect
1076. C2×#123C2×D17semidirect
1077. C2×#123C2×D17semidirect
1091. C2×C22⋊Q8C2×D17semidirect
1145. C2×C4×D4C2×D17semidirect
1170. C2×#117C2×D17semidirect
1193. C2×C17#3475semidirect
1273. #126C22×D17semidirect
1274. #126C22×D17semidirect
1288. #124C22×D17semidirect
1303. #123C22×D17semidirect
1304. #123C22×D17semidirect
1318. C22⋊Q8C22×D17semidirect
1368. C4×D4C22×D17semidirect
1391. #117C22×D17semidirect
1516. C17C2×#3475semidirect
1959. C2#14542339direct (N × H)

Maximal subgroups

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

subgroupindex
#145423392
C2×#117635262
C2×#117635212
C2×#117635132
C2×#117635082
C2×#117635042
C2×#117634962
C2×#117634952
C2×#117634922
C2×#117634882
C2×#117634862
C2×#117634852
C2×#117634572
C2×#117634492
C2×#117634462
C2×#117633612
C2×#117633452
C2×#117633422
C2×#117633382
C2×#117633362
C2×#117633172
C2×#117633152
C2×#117632772
C2×C4×#632542
C22×#105875672
C22×#105875632
C2×#117×D172
C2×C17×#5512
C2×#347517