Finite Group Databasebeta

← C2×#14542336 #17941356

Subgroups — C2×#14542336 #17941356

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#14542336C2132yesmaximal, direct product factor
2C2×#11763526C211yesmaximal, characteristic, complemented
3C2×#11763521C211yesmaximal, characteristic, complemented
4C2×#11763513C211yesmaximal, characteristic, complemented
5C2×#11763510C211yesmaximal, characteristic, complemented
6C2×#11763502C211yesmaximal, characteristic, complemented
7C2×#11763496C211yesmaximal, characteristic, complemented
8C2×#11763495C211yesmaximal, characteristic, complemented
9C2×#11763491C211yesmaximal, characteristic, complemented
10C2×#11763491C211yesmaximal, characteristic, complemented
11C2×#11763489C211yesmaximal, characteristic, complemented
12C2×#11763486C211yesmaximal, characteristic, complemented
13C2×#11763484C211yesmaximal, characteristic, complemented
14C2×#11763482C211yesmaximal, characteristic, complemented
15C2×#11763457C211yesmaximal, characteristic, complemented
16C2×#11763451C211yesmaximal, characteristic, complemented
17C2×#11763448C211yesmaximal, characteristic, complemented
18C2×#11763363C211yesmaximal, characteristic, complemented
19C2×#11763346C211yesmaximal, characteristic, complemented
20C2×#11763339C211yesmaximal, characteristic, complemented
21C2×#11763339C211yesmaximal, characteristic, complemented
22C2×#11763337C211yesmaximal, characteristic, complemented
23C2×#11763337C211yesmaximal, characteristic, complemented
24C2×#11763318C211yesmaximal, characteristic, complemented
25C2×#11763318C211yesmaximal, characteristic, complemented
26C2×C4×#63252C211yesmaximal, characteristic, complemented
27C2×#11763277C211yesmaximal, characteristic, complemented
28C2×C4×#63254C211yesmaximal, characteristic, complemented
29C2×C4×D4×D17C211yesmaximal, characteristic, complemented
30C22×#10587558C211yesmaximal, characteristic, complemented
31C2×#117×D17C211yesmaximal, characteristic, complemented
32C2×C17×#529C211yesmaximal, characteristic, complemented
33C22×#63252C2211yescharacteristic
34C22×#63252C2211yescharacteristic
35C22×#63254C2211yescharacteristic
36C22×D4×D17C2211yescharacteristic
37C23×C4×D17C2211yescharacteristic
38C23×C4×D17C2211yescharacteristic
39#11763526C22116yescomplemented
40#11763521C22116yescomplemented
41#11763513C22116yescomplemented
42#11763510C22116yescomplemented
43#11763502C22116yescomplemented
44#11763496C22116yescomplemented
45#11763495C22116yescomplemented
46#11763491C22116yescomplemented
47#11763491C22116yescomplemented
48#11763489C22116yescomplemented
49#11763486C22116yescomplemented
50#11763484C22116yescomplemented
51#11763482C22116yescomplemented
52#11763457C22116yescomplemented
53#11763451C22116yescomplemented
54#11763448C22116yescomplemented
55#11763363C22116yescomplemented
56C2×#10587574C2211yescharacteristic, complemented
57C2×#10587630C2211yescharacteristic, complemented
58#11763346C22116yescomplemented
59#11763339C22116yescomplemented
60#11763339C22116yescomplemented
61#11763337C22116yescomplemented
62#11763337C22116yescomplemented
63C2×#10587584C2211yescharacteristic, complemented
64C2×#10587584C2211yescharacteristic, complemented
65C2×#10587584C2211yescharacteristic, complemented
66C2×#10587584C2211yescharacteristic, complemented
67C2×#10587584C2211yescharacteristic, complemented
68C2×#10587584C2211yescharacteristic, complemented
69C2×#10587565C2211yescharacteristic, complemented
70C2×#10587565C2211yescharacteristic, complemented
71C2×#10587565C2211yescharacteristic, complemented
72C2×#10587565C2211yescharacteristic, complemented
73C2×#10587576C2211yescharacteristic, complemented
74C2×#10587575C2211yescharacteristic, complemented
75C2×#10587575C2211yescharacteristic, complemented
76C2×#10587575C2211yescharacteristic, complemented
77C2×#10587575C2211yescharacteristic, complemented
78C2×#10587575C2211yescharacteristic, complemented
79C2×#10587575C2211yescharacteristic, complemented
80C2×#10587633C2211yescharacteristic, complemented
81C2×#10587571C2211yescharacteristic
82C2×#10587571C2211yescharacteristic
83C2×#10587571C2211yescharacteristic, complemented
84C2×#10587571C2211yescharacteristic, complemented
85#11763318C22116yescomplemented
86#11763318C22116yescomplemented
87C2×#10587580C2211yescharacteristic
88C2×#10587580C2211yescharacteristic
89C2×#10587580C2211yescharacteristic
90C2×#10587580C2211yescharacteristic
91C2×#10587580C2211yescharacteristic, complemented
92C2×#10587580C2211yescharacteristic, complemented
93C2×#10587572C2211yescharacteristic, complemented
94C2×#10587572C2211yescharacteristic, complemented
95C2×#10587569C2211yescharacteristic
96C2×#10587569C2211yescharacteristic
97C2×#10587569C2211yescharacteristic, complemented
98C2×#10587569C2211yescharacteristic, complemented
99C2×#10587621C2211yescharacteristic
100C2×#10587621C2211yescharacteristic, complemented
101C2×#10587583C2211yescharacteristic
102C2×#10587582C2211yescharacteristic
103C2×#10587582C2211yescharacteristic
104C2×#10587582C2211yescharacteristic, complemented
105C2×#10587582C2211yescharacteristic, complemented
106C2×#10587582C2211yescharacteristic, complemented
107C2×#10587582C2211yescharacteristic, complemented
108C2×#10587564C2211yescharacteristic, complemented
109C2×#10587564C2211yescharacteristic, complemented
110C2×#10587564C2211yescharacteristic, complemented
111C2×#10587564C2211yescharacteristic, complemented
112C2×#10587632C2211yescharacteristic
113C2×#10587632C2211yescharacteristic, complemented
114C2×#10587581C2211yescharacteristic
115C2×#10587570C2211yescharacteristic
116C2×#10587570C2211yescharacteristic
117C2×#10587570C2211yescharacteristic, complemented
118C2×#10587570C2211yescharacteristic, complemented
119C2×#10587625C2211yescharacteristic
120C2×#10587625C2211yescharacteristic
121C2×#10587625C2211yescharacteristic, complemented
122C2×#10587625C2211yescharacteristic, complemented
123C2×#10587568C2211yescharacteristic
124C2×#10587568C2211yescharacteristic
125C2×#10587623C2211yescharacteristic
126C2×#10587623C2211yescharacteristic
127C4×#63252C22116yescomplemented
128#11763277C22116yescomplemented
129C4×#63254C22116yescomplemented
130C2×C4×Dic34C2211yescharacteristic, complemented
131C2×C4×Dic34C2211yescharacteristic, complemented
132C2×C4×Dic34C2211yescharacteristic, complemented
133C2×C4×Dic34C2211yescharacteristic, complemented
134C2×#10587573C2211yescharacteristic, complemented
135C2×#10587573C2211yescharacteristic, complemented
136C2×#10587573C2211yescharacteristic, complemented
137C2×C4×D68C2211yescharacteristic
138C2×C4×D68C2211yescharacteristic, complemented
139C2×C4×D68C2211yescharacteristic, complemented
140C2×C4×D68C2211yescharacteristic, complemented
141C2×D4×Dic17C2211yescharacteristic
142C2×D4×Dic17C2211yescharacteristic, complemented
143C2×#10587579C2211yescharacteristic
144C2×#10587579C2211yescharacteristic
145C2×#10587579C2211yescharacteristic
146C2×C4×C22⋊D17C2211yescharacteristic
147C2×C4×C22⋊D17C2211yescharacteristic
148C2×C4×C22⋊D17C2211yescharacteristic
149C2×C4×C22⋊D17C2211yescharacteristic, complemented
150C2×C4×C22⋊D17C2211yescharacteristic, complemented
151C2×C4×C22⋊D17C2211yescharacteristic, complemented
152C2×C4×C22⋊D17C2211yescharacteristic, complemented
153C2×C4×C22⋊D17C2211yescharacteristic, complemented
154C2×#10587567C2211yescharacteristic
155C2×#10587567C2211yescharacteristic
156C2×#10587567C2211yescharacteristic
157C2×#10587567C2211yescharacteristic
158C2×#10587567C2211yescharacteristic
159C2×#10587567C2211yescharacteristic, complemented
160C2×#10587567C2211yescharacteristic, complemented
161C2×#10587567C2211yescharacteristic, complemented
162C4×D4×D17C22116yescomplemented
163C2×#10587612C2211yescharacteristic, complemented
164C2×#10587612C2211yescharacteristic, complemented
165C2×#10587578C2211yescharacteristic
166C2×#10587578C2211yescharacteristic
167C2×#10587578C2211yescharacteristic, complemented
168C2×#10587558C2211yescharacteristic
169C2×#10587558C2211yescharacteristic
170C2×#10587558C2211yescharacteristic
171C2×#10587558C2211yescharacteristic
172C2×#10587558C2211yescharacteristic
173C2×#10587558C22116yescomplemented
174C2×#10587558C2211yescharacteristic, complemented
175C2×#10587558C2211yescharacteristic, complemented
176C2×#10587558C2211yescharacteristic, complemented
177C2×#10587558C2211yescharacteristic, complemented
178C2×#10587558C2211yescharacteristic, complemented
179C2×#10587558C2211yescharacteristic, complemented
180C2×#10587558C2211yescharacteristic, complemented
181C2×#10587563C2211yescharacteristic, complemented
182C2×#10587563C2211yescharacteristic, complemented
183C2×#10587563C2211yescharacteristic, complemented
184C2×#10587563C2211yescharacteristic, complemented
185#117×D17C22116yescomplemented
186C22×#63225C2211yescharacteristic, complemented
187C22×#63225C2211yescharacteristic, complemented
188C2×C4⋊C4×D17C2211yescharacteristic
189C2×C4⋊C4×D17C2211yescharacteristic, complemented
190C2×C4⋊C4×D17C2211yescharacteristic, complemented
191C22×#63227C2211yescharacteristic
192C22×#63227C2211yescharacteristic
193C2×C22⋊C4×D17C2211yescharacteristic
194C2×C22⋊C4×D17C2211yescharacteristic
195C2×C22⋊C4×D17C2211yescharacteristic
196C2×C22⋊C4×D17C2211yescharacteristic
197C22×C4×Dic17C2211yescharacteristic, complemented
198C22×C4×Dic17C2211yescharacteristic, complemented
199C2×C42×D17C2211yescharacteristic
200C2×C42×D17C2211yescharacteristic, complemented
201C2×C42×D17C2211yescharacteristic, complemented
202C2×C42×D17C2211yescharacteristic, complemented
203C17×#529C22116yescomplemented
204C2×C17×#126C2211yescharacteristic, complemented
205C2×C17×#126C2211yescharacteristic, complemented
206C2×C17×#125C2211yescharacteristic, complemented
207C2×C17×#124C2211yescharacteristic, complemented
208C2×C17×#123C2211yescharacteristic
209C2×C17×#123C2211yescharacteristic, complemented
210C2×C17×C22⋊Q8C2211yescharacteristic, complemented
211C2×C17×#121C2211yescharacteristic
212C2×C4×Q8×C17C2211yescharacteristic, complemented
213C2×C4×D4×C17C2211yescharacteristic
214C2×C4×D4×C17C2211yescharacteristic, complemented
215C2×C4×D4×C17C2211yescharacteristic, complemented
216C2×C17×#117C2211yescharacteristic, complemented
217C2×C17×#117C2211yescharacteristic, complemented
218C22×C42×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
238C23×Dic17C2311yescharacteristic
239C23×Dic17C2311yescharacteristic
240C23×Dic17C2311yescharacteristic
241C23×Dic17C2311yescharacteristic
242C23×Dic17C2311yescharacteristic
243C23×Dic17C2311yescharacteristic
244C2×#63254—28no—
245C2×#63254C2318yes—
246C2×D4×D17—28no—
247C2×D4×D17C2318yes—
248C2×#63252—28no—
249C2×#63252—28no—
250C2×#63252C2318yes—
251C2×#63252C2318yes—
252C22×D68C2311yescharacteristic
253C22×D68C2311yescharacteristic
254C22×D68C2311yescharacteristic
255C22×D68C2311yescharacteristic
256C22×C4×D17—28no—
257C22×C4×D17—28no—
258C22×C4×D17C2311yescharacteristic
259C22×C4×D17C2311yescharacteristic
260C22×C4×D17C2311yescharacteristic
261C22×C4×D17C2311yescharacteristic
262C22×C4×D17C2311yescharacteristic
263C22×C4×D17C2311yescharacteristic
264C22×C4×D17C2311yescharacteristic
265C22×C4×D17C2311yescharacteristic
266C22×C4×D17C2311yescharacteristic
267C22×C4×D17C2318yes—
268C22×C4×D17C2318yes—
269C22×C4×D17C2311yescharacteristic
270C22×C4×D17C2311yescharacteristic
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×#125C2318yescomplemented
283C17×#124C2318yescomplemented
284C17×#123C2318yes—
285C17×#123C2318yescomplemented
286C17×C22⋊Q8C2318yescomplemented
287C17×#121C2318yes—
288C4×Q8×C17C2318yescomplemented
289C4×D4×C17C2318yes—
290C4×D4×C17C2318yescomplemented
291C4×D4×C17C2318yescomplemented
292C17×#117C2318yescomplemented
293C17×#117C2318yescomplemented
294C2×C4⋊C4×C17C2311yescharacteristic
295C2×C4⋊C4×C17C2311yescharacteristic
296C2×C4⋊C4×C17C2311yescharacteristic
297C2×C4⋊C4×C17C2311yescharacteristic
298C2×C4⋊C4×C17C2311yescharacteristic
299C2×C4⋊C4×C17C2311yescharacteristic
300C2×C4⋊C4×C17C2311yescharacteristic
301C2×C4⋊C4×C17C2311yescharacteristic
302C2×C4⋊C4×C17C2311yescharacteristic
303C2×C4⋊C4×C17C2311yescharacteristic
304C2×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×C17C2311yescharacteristic
311C2×C22⋊C4×C17C2311yescharacteristic
312C2×C22⋊C4×C17C2311yescharacteristic
313C2×C22⋊C4×C17C2311yescharacteristic
314C2×C42×C17C2311yescharacteristic
315C2×C42×C17C2311yescharacteristic
316C2×C42×C17C2311yescharacteristic
317C2×C42×C17C2311yescharacteristic
318C2×C42×C17C2311yescharacteristic
319C2×C42×C17C2311yescharacteristic
320C2×C42×C17C2318yescomplemented
321C2×C22⋊Dic17C2311yescharacteristic
322C2×C22⋊Dic17C2311yescharacteristic
323C2×C22⋊Dic17C2311yescharacteristic
324C2×C22⋊Dic17C2311yescharacteristic
325C2×C22⋊Dic17C2311yescharacteristic
326C2×C22⋊Dic17C2311yescharacteristic
327C2×C22⋊Dic17C2311yescharacteristic
328C2×C22⋊Dic17C2311yescharacteristic
329#10587633C2318yescomplemented
330#10587632C2318yes—
331#10587632C2318yescomplemented
332#10587630C2318yescomplemented
333#10587625C2318yes—
334#10587625C2318yes—
335#10587625C2318yescomplemented
336#10587625C2318yescomplemented
337#10587623C2318yes—
338#10587623C2318yes—
339#10587621C2318yes—
340#10587621C2318yescomplemented
341D4×Dic17C2318yes—
342D4×Dic17C2318yescomplemented
343C4×C22⋊D17C2318yes—
344C4×C22⋊D17C2318yes—
345C4×C22⋊D17C2318yes—
346C4×C22⋊D17C2318yescomplemented
347C4×C22⋊D17C2318yescomplemented
348C4×C22⋊D17C2318yescomplemented
349C4×C22⋊D17C2318yescomplemented
350C4×C22⋊D17C2318yescomplemented
351C2×#63227C2318yes—
352C2×#63227C2318yes—
353C2×#63227C2311yescharacteristic
354C2×#63227C2311yescharacteristic
355C2×#63227C2311yescharacteristic
356C2×#63227C2311yescharacteristic
357C2×#63227C2311yescharacteristic
358C2×#63227C2311yescharacteristic
359C2×#63227C2311yescharacteristic
360C2×#63227C2311yescharacteristic
361C2×#63227C2311yescharacteristic
362C2×#63227C2311yescharacteristic
363C2×#63227C2311yescharacteristic
364C2×#63227C2311yescharacteristic
365C2×#63227C2311yescharacteristic
366C2×#63227C2311yescharacteristic
367C2×#63227C2311yescharacteristic
368C2×#63227C2311yescharacteristic
369C2×#63227C2311yescharacteristic
370C2×#63227C2311yescharacteristic
371C2×#63227C2311yescharacteristic
372C2×#63227C2311yescharacteristic
373C2×#63227C2311yescharacteristic
374C2×#63227C2311yescharacteristic
375C2×#63227C2311yescharacteristic
376C2×#63227C2311yescharacteristic
377#10587612C2318yescomplemented
378#10587612C2318yescomplemented
379C2×C4⋊Dic17C2311yescharacteristic
380C2×C4⋊Dic17C2311yescharacteristic
381C2×C4⋊Dic17C2311yescharacteristic
382C2×C4⋊Dic17C2311yescharacteristic
383C2×C4⋊Dic17C2311yescharacteristic
384C2×C4⋊Dic17C2311yescharacteristic
385C2×C4⋊Dic17C2311yescharacteristic
386C2×C4⋊Dic17C2311yescharacteristic
387C2×#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×#63225C2311yescharacteristic
411C2×#63225C2318yescomplemented
412C2×#63225C2318yescomplemented
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×Dic17C2311yescharacteristic
424C2×C4×Dic17C2311yescharacteristic
425C2×C4×Dic17C2311yescharacteristic
426C2×C4×Dic17C2311yescharacteristic
427C2×C4×Dic17C2311yescharacteristic
428C2×C4×Dic17C2311yescharacteristic
429C2×C4×Dic17C2318yescomplemented
430C2×C4×Dic17C2318yescomplemented
431#10587584C2318yescomplemented
432#10587584C2318yescomplemented
433#10587584C2318yescomplemented
434#10587584C2318yescomplemented
435#10587584C2318yescomplemented
436#10587584C2318yescomplemented
437#10587583C2318yes—
438#10587582C2318yes—
439#10587582C2318yes—
440#10587582C2318yescomplemented
441#10587582C2318yescomplemented
442#10587582C2318yescomplemented
443#10587582C2318yescomplemented
444#10587581C2318yes—
445#10587580C2318yes—
446#10587580C2318yes—
447#10587580C2318yes—
448#10587580C2318yes—
449#10587580C2318yescomplemented
450#10587580C2318yescomplemented
451#10587579C2318yes—
452#10587579C2318yes—
453#10587579C2318yes—
454#10587578C2318yes—
455#10587578C2318yes—
456#10587578C2318yescomplemented
457C4⋊C4×D17C2318yes—
458C4⋊C4×D17C2318yescomplemented
459C4⋊C4×D17C2318yescomplemented
460#10587576C2318yescomplemented
461#10587575C2318yescomplemented
462#10587575C2318yescomplemented
463#10587575C2318yescomplemented
464#10587575C2318yescomplemented
465#10587575C2318yescomplemented
466#10587575C2318yescomplemented
467#10587574C2318yescomplemented
468#10587573C2318yescomplemented
469#10587573C2318yescomplemented
470#10587573C2318yescomplemented
471#10587572C2318yescomplemented
472#10587572C2318yescomplemented
473#10587571C2318yes—
474#10587571C2318yes—
475#10587571C2318yescomplemented
476#10587571C2318yescomplemented
477#10587570C2318yes—
478#10587570C2318yes—
479#10587570C2318yescomplemented
480#10587570C2318yescomplemented
481#10587569C2318yes—
482#10587569C2318yes—
483#10587569C2318yescomplemented
484#10587569C2318yescomplemented
485#10587568C2318yes—
486#10587568C2318yes—
487#10587567C2318yes—
488#10587567C2318yes—
489#10587567C2318yes—
490#10587567C2318yes—
491#10587567C2318yes—
492#10587567C2318yescomplemented
493#10587567C2318yescomplemented
494#10587567C2318yescomplemented
495C22⋊C4×D17C2318yes—
496C22⋊C4×D17C2318yes—
497C22⋊C4×D17C2318yes—
498C22⋊C4×D17C2318yes—
499#10587565C2318yescomplemented
500#10587565C2318yescomplemented
501#10587565C2318yescomplemented
502#10587565C2318yescomplemented
503#10587564C2318yescomplemented
504#10587564C2318yescomplemented
505#10587564C2318yescomplemented
506#10587564C2318yescomplemented
507#10587563C2318yescomplemented
508#10587563C2318yescomplemented
509#10587563C2318yescomplemented
510#10587563C2318yescomplemented
511C4×D68C2318yes—
512C4×D68C2318yescomplemented
513C4×D68C2318yescomplemented
514C4×D68C2318yescomplemented
515#10587558C2318yes—
516#10587558C2318yes—
517#10587558C2318yes—
518#10587558C2318yes—
519#10587558C2318yes—
520#10587558C2318yescomplemented
521#10587558C2318yescomplemented
522#10587558C2318yescomplemented
523#10587558C2318yescomplemented
524#10587558C2318yescomplemented
525#10587558C2318yescomplemented
526#10587558C2318yescomplemented
527C42×D17C2318yes—
528C42×D17C2318yescomplemented
529C42×D17C2318yescomplemented
530C42×D17C2318yescomplemented
531C4×Dic34C2318yescomplemented
532C4×Dic34C2318yescomplemented
533C4×Dic34C2318yescomplemented
534C4×Dic34C2318yescomplemented
535C24×C17C2411yescharacteristic
536C24×C17C2411yescharacteristic
537C24×C17C2411yescharacteristic
538C23×D17—24no—
539C23×D17—24no—
540C23×D17—24no—
541C23×D17—24no—
542C23×D17—42no—
543C23×D17—42no—
544C23×D17C2411yescharacteristic
545C23×D17C2411yescharacteristic
546C23×D17C2414yes—
547C23×D17C2414yes—
548C23×D17C2411yescharacteristic
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—24no—
561C22×C4×C17—24no—
562C22×C4×C17—42no—
563C22×C4×C17C2414yes—
564C22×C4×C17C2411yescharacteristic
565C22×C4×C17C2411yescharacteristic
566C22×C4×C17C2411yescharacteristic
567C22×C4×C17C2411yescharacteristic
568C22×C4×C17C2411yescharacteristic
569C22×C4×C17C2411yescharacteristic
570C22×C4×C17C2411yescharacteristic
571C22×C4×C17C2414yes—
572C22×C4×C17C2411yescharacteristic
573C22×C4×C17C2414yes—
574C22×C4×C17C2411yescharacteristic
575C22×C4×C17C2411yescharacteristic
576C22×C4×C17C2414yes—
577C22×C4×C17C2411yescharacteristic
578C22×C4×C17C2414yes—
579C22×C4×C17C2411yescharacteristic
580C2×C22⋊D17—24no—
581C2×C22⋊D17—24no—
582C2×C22⋊D17—24no—
583C2×C22⋊D17—24no—
584C2×C22⋊D17—24no—
585C2×C22⋊D17—42no—
586C2×C22⋊D17—42no—
587C2×C22⋊D17#4118yescomplemented
588C2×C22⋊D17C2414yes—
589C2×C22⋊D17C2414yes—
590C2×C22⋊D17C2414yes—
591C2×C22⋊D17C2414yes—
592C2×C22⋊D17C2414yes—
593C2×C22⋊D17C2414yes—
594C2×C22⋊D17C2414yes—
595C2×C22⋊D17C2414yes—
596C22×Dic17—24no—
597C22×Dic17—24no—
598C22×Dic17—24no—
599C22×Dic17—24no—
600C22×Dic17—42no—
601C22×Dic17—42no—
602C22×Dic17C2411yescharacteristic
603C22×Dic17C2411yescharacteristic
604C22×Dic17C2411yescharacteristic
605C22×Dic17C2411yescharacteristic
606C22×Dic17C2411yescharacteristic
607C22×Dic17C2414yes—
608C22×Dic17C2414yes—
609C22×Dic17C2411yescharacteristic
610C22×Dic17C2411yescharacteristic
611C22×Dic17C2411yescharacteristic
612C22×Dic17C2411yescharacteristic
613C22×Dic17C2411yescharacteristic
614C22×Dic17C2414yes—
615C22×Dic17C2414yes—
616C22×Dic17C2414yes—
617C22×Dic17C2414yes—
618C22×Dic17C2411yescharacteristic
619C22×Dic17C2411yescharacteristic
620#63254—232no—
621D4×D17—232no—
622#63252—232no—
623#63252—232no—
624C2×D68—24no—
625C2×D68—24no—
626C2×D68—24no—
627C2×D68—42no—
628C2×D68C2414yes—
629C2×D68C2414yes—
630C2×D68C2414yes—
631C2×D68C2414yes—
632C2×C4×D17—24no—
633C2×C4×D17—24no—
634C2×C4×D17—24no—
635C2×C4×D17—24no—
636C2×C4×D17—24no—
637C2×C4×D17—24no—
638C2×C4×D17—24no—
639C2×C4×D17—24no—
640C2×C4×D17—24no—
641C2×C4×D17—24no—
642C2×C4×D17—24no—
643C2×C4×D17—232no—
644C2×C4×D17—232no—
645C2×C4×D17—42no—
646C2×C4×D17—42no—
647C2×C4×D17—42no—
648C2×C4×D17—42no—
649C2×C4×D17#4118yescomplemented
650C2×C4×D17C2414yes—
651C2×C4×D17C2414yes—
652C2×C4×D17C2414yes—
653C2×C4×D17C2414yes—
654C2×C4×D17C2414yes—
655C2×C4×D17C2414yes—
656C2×C4×D17C2414yes—
657C2×C4×D17C2414yes—
658C2×C4×D17C2414yes—
659C2×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—
682C4⋊C4×C17C2414yes—
683C4⋊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—
694C42×C17C2414yes—
695C42×C17C2414yes—
696C42×C17C2414yes—
697C42×C17C2414yes—
698C42×C17C2414yes—
699C42×C17C2414yes—
700C22⋊Dic17C2414yes—
701C22⋊Dic17C2414yes—
702C22⋊Dic17C2414yes—
703C22⋊Dic17C2414yes—
704C22⋊Dic17C2414yes—
705C22⋊Dic17C2414yes—
706C22⋊Dic17C2414yes—
707C22⋊Dic17C2414yes—
708#63227C2414yes—
709#63227C2414yes—
710#63227C2414yes—
711#63227C2414yes—
712#63227C2414yes—
713#63227C2414yes—
714#63227C2414yes—
715#63227C2414yes—
716#63227C2414yes—
717#63227C2414yes—
718#63227C2414yes—
719#63227C2414yes—
720#63227C2414yes—
721#63227C2414yes—
722#63227C2414yes—
723#63227C2414yes—
724#63227C2414yes—
725#63227C2414yes—
726#63227C2414yes—
727#63227C2414yes—
728#63227C2414yes—
729#63227C2414yes—
730#63227C2414yes—
731#63227C2414yes—
732C4⋊Dic17C2414yes—
733C4⋊Dic17C2414yes—
734C4⋊Dic17C2414yes—
735C4⋊Dic17C2414yes—
736C4⋊Dic17C2414yes—
737C4⋊Dic17C2414yes—
738C4⋊Dic17C2414yes—
739C4⋊Dic17C2414yes—
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—
761#63225C2414yes—
762#63225C2414yes—
763#63225C2414yes—
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—22no—
786C23×C17—22no—
787C23×C17—22no—
788C23×C17—22no—
789C23×C17C2×#4114yes—
790C23×C17C2512yes—
791C23×C17C2512yes—
792C23×C17C2512yes—
793C23×C17C2511yescharacteristic
794C22×D17—22no—
795C22×D17—22no—
796C22×D17—22no—
797C22×D17—22no—
798C22×D17—22no—
799C22×D17—22no—
800C22×D17—22no—
801C22×D17—22no—
802C22×D17—28no—
803C22×D17—22no—
804C22×D17—22no—
805C22×D17—28no—
806C22×D17—28no—
807C22×D17—28no—
808C22×D17—44no—
809C22×D17—44no—
810C22×D17—416no—
811C22×D17—416no—
812C22×D17C2×#4114yes—
813C22×D17C2×#4114yes—
814C22×D17C2512yes—
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—22no—
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—28no—
835C2×C4×C17—28no—
836C2×C4×C17—28no—
837C2×C4×C17—44no—
838C2×C4×C17C2×#4114yes—
839C2×C4×C17C2512yes—
840C2×C4×C17C2512yes—
841C2×C4×C17C2512yes—
842C2×C4×C17C2512yes—
843C2×C4×C17C2512yes—
844C2×C4×C17C2512yes—
845C2×C4×C17C2512yes—
846C2×C4×C17C2512yes—
847C2×C4×C17C2512yes—
848C2×C4×C17C2512yes—
849C2×C4×C17C2512yes—
850C2×C4×C17C2512yes—
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—22no—
864C2×Dic17—22no—
865C2×Dic17—28no—
866C2×Dic17—22no—
867C2×Dic17—22no—
868C2×Dic17—22no—
869C2×Dic17—22no—
870C2×Dic17—28no—
871C2×Dic17—28no—
872C2×Dic17—28no—
873C2×Dic17—44no—
874C2×Dic17—44no—
875C2×Dic17C2×#4114yes—
876C2×Dic17C2×#4114yes—
877C2×Dic17C2512yes—
878C2×Dic17C2512yes—
879C2×Dic17C2512yes—
880C2×Dic17C2512yes—
881C2×Dic17C2512yes—
882C2×Dic17C2512yes—
883C2×Dic17C2512yes—
884C2×Dic17C2512yes—
885C2×Dic17C2512yes—
886C2×Dic17C2512yes—
887C2×Dic17C2512yes—
888C2×Dic17C2512yes—
889D68—28no—
890D68—28no—
891D68—28no—
892D68—44no—
893C4×D17—28no—
894C4×D17—28no—
895C4×D17—28no—
896C4×D17—28no—
897C4×D17—28no—
898C4×D17—28no—
899C4×D17—28no—
900C4×D17—28no—
901C4×D17—28no—
902C4×D17—28no—
903C4×D17—28no—
904C4×D17—44no—
905C4×D17—44no—
906C4×D17—44no—
907C4×D17—44no—
908C4×D17C2×#41116yescomplemented
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×#551—171no—
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×#529D1711yescharacteristic, complemented
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—28no—
948C22×C17—22no—
949C22×C17—22no—
950C22×C17—22no—
951C22×C17—22no—
952C22×C17—22no—
953C22×C17—22no—
954C22×C17—44no—
955C22×C17—44no—
956C22×C17C22×#4114yes—
957C22×C17C22×#4112yes—
958C22×C17C22×#4112yes—
959C22×C17#58512yes—
960C22×C17C2611yescharacteristic
961C2×D17—22no—
962C2×D17—22no—
963C2×D17—22no—
964C2×D17—22no—
965C2×D17—28no—
966C2×D17—28no—
967C2×D17—22no—
968C2×D17—22no—
969C2×D17—22no—
970C2×D17—22no—
971C2×D17—22no—
972C2×D17—22no—
973C2×D17—416no—
974C2×D17—416no—
975C2×D17—44no—
976C2×D17—44no—
977C2×D17C22×#4114yes—
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—
990C4×C17C22×#4114yes—
991Dic17—22no—
992Dic17—22no—
993Dic17—22no—
994Dic17—22no—
995Dic17—22no—
996Dic17—22no—
997Dic17—22no—
998Dic17—22no—
999Dic17—22no—
1000Dic17—22no—
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#551—1716no—
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#529C2×D17116yescomplemented
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×#125C2×D1711yescharacteristic, complemented
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×#123—171no—
1076C2×#123C2×D1711yescharacteristic
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⋊Q8—171no—
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×#121C2×D1711yescharacteristic
1102C2×#120—171no—
1103C2×#120—171no—
1104C2×#120—171no—
1105C2×#120—171no—
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×Q8C2×D1711yescharacteristic, complemented
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—1716no—
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—171no—
1138C2×C4×D4—171no—
1139C2×C4×D4—171no—
1140C2×C4×D4—171no—
1141C2×C4×D4—171no—
1142C2×C4×D4—171no—
1143C2×C4×D4C2×D1711yescharacteristic
1144C2×C4×D4C2×D1711yescharacteristic, complemented
1145C2×C4×D4C2×D1711yescharacteristic, complemented
1146C2×#117—171no—
1147C2×#117—171no—
1148C2×#117—1716no—
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—171no—
1162C2×#117—171no—
1163C2×#117—171no—
1164C2×#117—171no—
1165C2×#117—171no—
1166C2×#117—171no—
1167C2×#117—171no—
1168C2×#117—1716no—
1169C2×#117C2×D1711yescharacteristic, complemented
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⋊C4—171no—
1181C22×C22⋊C4—171no—
1182C22×C42—171no—
1183C22×C42—171no—
1184C22×C42—171no—
1185C22×C42—171no—
1186C22×C42—171no—
1187C22×C42—171no—
1188C22×C42C2×D1711yescharacteristic, complemented
1189C2×C17—24no—
1190C2×C17—42no—
1191C2×C17—42no—
1192C2×C17#347514yescomplemented
1193C2×C17C23×#4111yescharacteristic
1194C2×C17C23×#4111yescharacteristic
1195C2×C17C2×#58511yescharacteristic
1196D17—24no—
1197D17—24no—
1198D17—42no—
1199D17—42no—
1200C25—171no—
1201C25—171no—
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—171no—
1238C23×C4—171no—
1239C23×C4—171no—
1240C23×C4—171no—
1241C23×C4—171no—
1242C23×C4—171no—
1243C23×C4—171no—
1244C23×C4—178no—
1245C23×C4—178no—
1246C23×C4—171no—
1247C23×C4—171no—
1248C23×C4—171no—
1249C23×C4—171no—
1250C23×C4—171no—
1251C23×C4—171no—
1252C23×C4—171no—
1253C23×C4—171no—
1254C23×C4—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#125C22×D1718yescomplemented
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#123—178no—
1303#123C22×D1718yes—
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⋊Q8—178no—
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#121C22×D1718yes—
1329#120—178no—
1330#120—178no—
1331#120—178no—
1332#120—178no—
1333C4×Q8—178no—
1334C4×Q8—178no—
1335C4×Q8—178no—
1336C4×Q8—178no—
1337C4×Q8—178no—
1338C4×Q8—178no—
1339C4×Q8—178no—
1340C4×Q8C22×D1718yescomplemented
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×D4C22×D1718yes—
1367C4×D4C22×D1718yescomplemented
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×D1718yescomplemented
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—171no—
1411C2×C4⋊C4—171no—
1412C2×C4⋊C4—171no—
1413C2×C4⋊C4—171no—
1414C2×C4⋊C4—171no—
1415C2×C4⋊C4—171no—
1416C2×C4⋊C4—171no—
1417C2×C4⋊C4—171no—
1418C2×C4⋊C4—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—178no—
1427C2×C4⋊C4—178no—
1428C2×C4⋊C4—178no—
1429C2×C4⋊C4C22×D1711yescharacteristic
1430C2×C4⋊C4C22×D1711yescharacteristic
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—171no—
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—178no—
1460C2×C22⋊C4—171no—
1461C2×C22⋊C4—171no—
1462C2×C22⋊C4—171no—
1463C2×C22⋊C4—171no—
1464C2×C22⋊C4—171no—
1465C2×C22⋊C4—171no—
1466C2×C22⋊C4—171no—
1467C2×C22⋊C4—171no—
1468C2×C22⋊C4—171no—
1469C2×C22⋊C4—171no—
1470C2×C22⋊C4—171no—
1471C2×C22⋊C4—171no—
1472C2×C22⋊C4—171no—
1473C2×C22⋊C4—178no—
1474C2×C22⋊C4—178no—
1475C2×C22⋊C4—178no—
1476C2×C22⋊C4—178no—
1477C2×C22⋊C4C22×D1711yescharacteristic
1478C2×C22⋊C4C22×D1711yescharacteristic
1479C2×C22⋊C4C22×D1711yescharacteristic
1480C2×C22⋊C4C22×D1711yescharacteristic
1481C2×C22⋊C4C22×D1711yescharacteristic
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—178no—
1496C2×C42—171no—
1497C2×C42—171no—
1498C2×C42—171no—
1499C2×C42—171no—
1500C2×C42—178no—
1501C2×C42—171no—
1502C2×C42—171no—
1503C2×C42—171no—
1504C2×C42—171no—
1505C2×C42—178no—
1506C2×C42—178no—
1507C2×C42—178no—
1508C2×C42—178no—
1509C2×C42C22×D1711yescharacteristic
1510C2×C42C22×D1711yescharacteristic
1511C2×C42C22×D1711yescharacteristic
1512C2×C42C22×D1711yescharacteristic
1513C2×C42C22×D1711yescharacteristic
1514C2×C42C22×D1711yescharacteristic
1515C2×C42C22×D1718yescomplemented
1516C17C2×#347511yescharacteristic, complemented, Sylow
1517C24—171no—
1518C24—171no—
1519C24—171no—
1520C24—171no—
1521C24—174no—
1522C24—174no—
1523C24—344no—
1524C24—344no—
1525C24—344no—
1526C24—344no—
1527C24—682no—
1528C24—682no—
1529C24C23×D1711yescharacteristic
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—344no—
1565C2×D4—344no—
1566C2×D4—3432no—
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—24no—
1579C22×C4—24no—
1580C22×C4—42no—
1581C22×C4—171no—
1582C22×C4—171no—
1583C22×C4—178no—
1584C22×C4—174no—
1585C22×C4—171no—
1586C22×C4—171no—
1587C22×C4—171no—
1588C22×C4—171no—
1589C22×C4—171no—
1590C22×C4—171no—
1591C22×C4—171no—
1592C22×C4—171no—
1593C22×C4—171no—
1594C22×C4—174no—
1595C22×C4—174no—
1596C22×C4—171no—
1597C22×C4—174no—
1598C22×C4—174no—
1599C22×C4—174no—
1600C22×C4—174no—
1601C22×C4—174no—
1602C22×C4—174no—
1603C22×C4—174no—
1604C22×C4—174no—
1605C22×C4—174no—
1606C22×C4—174no—
1607C22×C4—174no—
1608C22×C4—174no—
1609C22×C4—174no—
1610C22×C4—174no—
1611C22×C4—174no—
1612C22×C4—174no—
1613C22×C4—174no—
1614C22×C4—174no—
1615C22×C4—174no—
1616C22×C4—344no—
1617C22×C4—344no—
1618C22×C4—3432no—
1619C22×C4—3432no—
1620C22×C4—344no—
1621C22×C4—344no—
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—344no—
1631C22×C4—344no—
1632C22×C4—344no—
1633C22×C4—682no—
1634C22×C4—682no—
1635C22×C4—682no—
1636C22×C4—682no—
1637C22×C4—682no—
1638C22×C4—682no—
1639C22×C4C23×D1711yescharacteristic
1640C22×C4C23×D1711yescharacteristic
1641C22×C4C23×D1711yescharacteristic
1642C22×C4C23×D1714yes—
1643C22×C4C23×D1711yescharacteristic
1644C22×C4C23×D1714yes—
1645C22×C4C23×D1711yescharacteristic
1646C22×C4C23×D1711yescharacteristic
1647C22×C4C23×D1711yescharacteristic
1648C22×C4C23×D1711yescharacteristic
1649C22×C4C23×D1711yescharacteristic
1650C22×C4C23×D1711yescharacteristic
1651C22×C4C23×D1714yes—
1652C22×C4C23×D1711yescharacteristic
1653C22×C4C23×D1714yes—
1654C22×C4C23×D1714yes—
1655C22×C4C23×D1711yescharacteristic
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⋊C4C23×D1714yes—
1689C4⋊C4C23×D1714yes—
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⋊C4—174no—
1727C22⋊C4—174no—
1728C22⋊C4—174no—
1729C22⋊C4—174no—
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—
1756C42C23×D1714yes—
1757C42C23×D1714yes—
1758C42C23×D1714yes—
1759C42C23×D1714yes—
1760C42C23×D1714yes—
1761C42C23×D1714yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—174no—
1771C23—174no—
1772C23—172no—
1773C23—172no—
1774C23—172no—
1775C23—172no—
1776C23—348no—
1777C23—348no—
1778C23—348no—
1779C23—342no—
1780C23—342no—
1781C23—342no—
1782C23—342no—
1783C23—342no—
1784C23—342no—
1785C23—342no—
1786C23—348no—
1787C23—342no—
1788C23—342no—
1789C23—342no—
1790C23—684no—
1791C23—684no—
1792C23—6816no—
1793C23—6816no—
1794C23#41×D1714yes—
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—22no—
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—28no—
1832C2×C4—28no—
1833C2×C4—28no—
1834C2×C4—44no—
1835C2×C4—174no—
1836C2×C4—174no—
1837C2×C4—172no—
1838C2×C4—172no—
1839C2×C4—1716no—
1840C2×C4—172no—
1841C2×C4—172no—
1842C2×C4—172no—
1843C2×C4—172no—
1844C2×C4—172no—
1845C2×C4—172no—
1846C2×C4—172no—
1847C2×C4—172no—
1848C2×C4—172no—
1849C2×C4—172no—
1850C2×C4—348no—
1851C2×C4—348no—
1852C2×C4—348no—
1853C2×C4—348no—
1854C2×C4—348no—
1855C2×C4—348no—
1856C2×C4—348no—
1857C2×C4—348no—
1858C2×C4—348no—
1859C2×C4—348no—
1860C2×C4—348no—
1861C2×C4—342no—
1862C2×C4—342no—
1863C2×C4—342no—
1864C2×C4—342no—
1865C2×C4—342no—
1866C2×C4—342no—
1867C2×C4—348no—
1868C2×C4—342no—
1869C2×C4—342no—
1870C2×C4—342no—
1871C2×C4—342no—
1872C2×C4—348no—
1873C2×C4—348no—
1874C2×C4—348no—
1875C2×C4—684no—
1876C2×C4—684no—
1877C2×C4—684no—
1878C2×C4—684no—
1879C2×C4—684no—
1880C2×C4—684no—
1881C2×C4#41×D1714yes—
1882C2×C4C24×D1712yes—
1883C2×C4C24×D1712yes—
1884C2×C4C24×D1712yes—
1885C2×C4C24×D1712yes—
1886C2×C4C24×D1712yes—
1887C2×C4C24×D1712yes—
1888C2×C4C24×D1712yes—
1889C2×C4C24×D1712yes—
1890C2×C4C24×D1712yes—
1891C2×C4C24×D1712yes—
1892C2×C4C24×D1712yes—
1893C2×C4C24×D1712yes—
1894C22—28no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—44no—
1904C22—44no—
1905C22—174no—
1906C22—174no—
1907C22—348no—
1908C22—348no—
1909C22—342no—
1910C22—342no—
1911C22—342no—
1912C22—342no—
1913C22—342no—
1914C22—342no—
1915C22—342no—
1916C22—342no—
1917C22—342no—
1918C22—342no—
1919C22—6816no—
1920C22—6816no—
1921C22—684no—
1922C22—684no—
1923C22C2×#41×D1714yes—
1924C22C2×#41×D1712yes—
1925C22C2×#41×D1712yes—
1926C22#1176364512yes—
1927C22C25×D1711yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—174no—
1940C4—174no—
1941C4—342no—
1942C4—342no—
1943C4—342no—
1944C4—342no—
1945C4—342no—
1946C4—342no—
1947C4—342no—
1948C4—342no—
1949C4—342no—
1950C4—342no—
1951C4C2×#41×D1714yes—
1952C2—24no—
1953C2—42no—
1954C2—42no—
1955C2—344no—
1956C2—344no—
1957C2—682no—
1958C2—682no—
1959C2#1454233614yesdirect product factor
1960C2C22×#41×D1711yescharacteristic
1961C2C22×#41×D1711yescharacteristic
1962C2C2×#1176364511yescharacteristic
subgroupG/H
centerC22×C4C23×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#529C2
socleC23×C17C25
hypercenterC2×#529D17
hypocenterC17C2×#3475
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #14542336C2direct (N × H)
2. C2×#11763526C2semidirect
3. C2×#11763521C2semidirect
4. C2×#11763513C2semidirect
5. C2×#11763510C2semidirect
6. C2×#11763502C2semidirect
7. C2×#11763496C2semidirect
8. C2×#11763495C2semidirect
9. C2×#11763491C2semidirect
10. C2×#11763491C2semidirect
11. C2×#11763489C2semidirect
12. C2×#11763486C2semidirect
13. C2×#11763484C2semidirect
14. C2×#11763482C2semidirect
15. C2×#11763457C2semidirect
16. C2×#11763451C2semidirect
17. C2×#11763448C2semidirect
18. C2×#11763363C2semidirect
19. C2×#11763346C2semidirect
20. C2×#11763339C2semidirect
21. C2×#11763339C2semidirect
22. C2×#11763337C2semidirect
23. C2×#11763337C2semidirect
24. C2×#11763318C2semidirect
25. C2×#11763318C2semidirect
26. C2×C4×#63252C2semidirect
27. C2×#11763277C2semidirect
28. C2×C4×#63254C2semidirect
29. C2×C4×D4×D17C2semidirect
30. C22×#10587558C2semidirect
31. C2×#117×D17C2semidirect
32. C2×C17×#529C2semidirect
39. #11763526C22semidirect
40. #11763521C22semidirect
41. #11763513C22semidirect
42. #11763510C22semidirect
43. #11763502C22semidirect
44. #11763496C22semidirect
45. #11763495C22semidirect
46. #11763491C22semidirect
47. #11763491C22semidirect
48. #11763489C22semidirect
49. #11763486C22semidirect
50. #11763484C22semidirect
51. #11763482C22semidirect
52. #11763457C22semidirect
53. #11763451C22semidirect
54. #11763448C22semidirect
55. #11763363C22semidirect
56. C2×#10587574C22semidirect
57. C2×#10587630C22semidirect
58. #11763346C22semidirect
59. #11763339C22semidirect
60. #11763339C22semidirect
61. #11763337C22semidirect
62. #11763337C22semidirect
63. C2×#10587584C22semidirect
64. C2×#10587584C22semidirect
65. C2×#10587584C22semidirect
66. C2×#10587584C22semidirect
67. C2×#10587584C22semidirect
68. C2×#10587584C22semidirect
69. C2×#10587565C22semidirect
70. C2×#10587565C22semidirect
71. C2×#10587565C22semidirect
72. C2×#10587565C22semidirect
73. C2×#10587576C22semidirect
74. C2×#10587575C22semidirect
75. C2×#10587575C22semidirect
76. C2×#10587575C22semidirect
77. C2×#10587575C22semidirect
78. C2×#10587575C22semidirect
79. C2×#10587575C22semidirect
80. C2×#10587633C22semidirect
83. C2×#10587571C22semidirect
84. C2×#10587571C22semidirect
85. #11763318C22semidirect
86. #11763318C22semidirect
91. C2×#10587580C22semidirect
92. C2×#10587580C22semidirect
93. C2×#10587572C22semidirect
94. C2×#10587572C22semidirect
97. C2×#10587569C22semidirect
98. C2×#10587569C22semidirect
100. C2×#10587621C22semidirect
104. C2×#10587582C22semidirect
105. C2×#10587582C22semidirect
106. C2×#10587582C22semidirect
107. C2×#10587582C22semidirect
108. C2×#10587564C22semidirect
109. C2×#10587564C22semidirect
110. C2×#10587564C22semidirect
111. C2×#10587564C22semidirect
113. C2×#10587632C22semidirect
117. C2×#10587570C22semidirect
118. C2×#10587570C22semidirect
121. C2×#10587625C22semidirect
122. C2×#10587625C22semidirect
127. C4×#63252C22semidirect
128. #11763277C22semidirect
129. C4×#63254C22semidirect
130. C2×C4×Dic34C22semidirect
131. C2×C4×Dic34C22semidirect
132. C2×C4×Dic34C22semidirect
133. C2×C4×Dic34C22semidirect
134. C2×#10587573C22semidirect
135. C2×#10587573C22semidirect
136. C2×#10587573C22semidirect
138. C2×C4×D68C22semidirect
139. C2×C4×D68C22semidirect
140. C2×C4×D68C22semidirect
142. C2×D4×Dic17C22semidirect
149. C2×C4×C22⋊D17C22semidirect
150. C2×C4×C22⋊D17C22semidirect
151. C2×C4×C22⋊D17C22semidirect
152. C2×C4×C22⋊D17C22semidirect
153. C2×C4×C22⋊D17C22semidirect
159. C2×#10587567C22semidirect
160. C2×#10587567C22semidirect
161. C2×#10587567C22semidirect
162. C4×D4×D17C22semidirect
163. C2×#10587612C22semidirect
164. C2×#10587612C22semidirect
167. C2×#10587578C22semidirect
173. C2×#10587558C22semidirect
174. C2×#10587558C22semidirect
175. C2×#10587558C22semidirect
176. C2×#10587558C22semidirect
177. C2×#10587558C22semidirect
178. C2×#10587558C22semidirect
179. C2×#10587558C22semidirect
180. C2×#10587558C22semidirect
181. C2×#10587563C22semidirect
182. C2×#10587563C22semidirect
183. C2×#10587563C22semidirect
184. C2×#10587563C22semidirect
185. #117×D17C22semidirect
186. C22×#63225C22semidirect
187. C22×#63225C22semidirect
189. C2×C4⋊C4×D17C22semidirect
190. C2×C4⋊C4×D17C22semidirect
197. C22×C4×Dic17C22semidirect
198. C22×C4×Dic17C22semidirect
200. C2×C42×D17C22semidirect
201. C2×C42×D17C22semidirect
202. C2×C42×D17C22semidirect
203. C17×#529C22semidirect
204. C2×C17×#126C22semidirect
205. C2×C17×#126C22semidirect
206. C2×C17×#125C22semidirect
207. C2×C17×#124C22semidirect
209. C2×C17×#123C22semidirect
210. C2×C17×C22⋊Q8C22semidirect
212. C2×C4×Q8×C17C22semidirect
214. C2×C4×D4×C17C22semidirect
215. C2×C4×D4×C17C22semidirect
216. C2×C17×#117C22semidirect
217. C2×C17×#117C22semidirect
218. C22×C42×C17C22semidirect
280. C17×#126C23semidirect
281. C17×#126C23semidirect
282. C17×#125C23semidirect
283. C17×#124C23semidirect
285. C17×#123C23semidirect
286. C17×C22⋊Q8C23semidirect
288. C4×Q8×C17C23semidirect
290. C4×D4×C17C23semidirect
291. C4×D4×C17C23semidirect
292. C17×#117C23semidirect
293. C17×#117C23semidirect
320. C2×C42×C17C23semidirect
329. #10587633C23semidirect
331. #10587632C23semidirect
332. #10587630C23semidirect
335. #10587625C23semidirect
336. #10587625C23semidirect
340. #10587621C23semidirect
342. D4×Dic17C23semidirect
346. C4×C22⋊D17C23semidirect
347. C4×C22⋊D17C23semidirect
348. C4×C22⋊D17C23semidirect
349. C4×C22⋊D17C23semidirect
350. C4×C22⋊D17C23semidirect
377. #10587612C23semidirect
378. #10587612C23semidirect
411. C2×#63225C23semidirect
412. C2×#63225C23semidirect
429. C2×C4×Dic17C23semidirect
430. C2×C4×Dic17C23semidirect
431. #10587584C23semidirect
432. #10587584C23semidirect
433. #10587584C23semidirect
434. #10587584C23semidirect
435. #10587584C23semidirect
436. #10587584C23semidirect
440. #10587582C23semidirect
441. #10587582C23semidirect
442. #10587582C23semidirect
443. #10587582C23semidirect
449. #10587580C23semidirect
450. #10587580C23semidirect
456. #10587578C23semidirect
458. C4⋊C4×D17C23semidirect
459. C4⋊C4×D17C23semidirect
460. #10587576C23semidirect
461. #10587575C23semidirect
462. #10587575C23semidirect
463. #10587575C23semidirect
464. #10587575C23semidirect
465. #10587575C23semidirect
466. #10587575C23semidirect
467. #10587574C23semidirect
468. #10587573C23semidirect
469. #10587573C23semidirect
470. #10587573C23semidirect
471. #10587572C23semidirect
472. #10587572C23semidirect
475. #10587571C23semidirect
476. #10587571C23semidirect
479. #10587570C23semidirect
480. #10587570C23semidirect
483. #10587569C23semidirect
484. #10587569C23semidirect
492. #10587567C23semidirect
493. #10587567C23semidirect
494. #10587567C23semidirect
499. #10587565C23semidirect
500. #10587565C23semidirect
501. #10587565C23semidirect
502. #10587565C23semidirect
503. #10587564C23semidirect
504. #10587564C23semidirect
505. #10587564C23semidirect
506. #10587564C23semidirect
507. #10587563C23semidirect
508. #10587563C23semidirect
509. #10587563C23semidirect
510. #10587563C23semidirect
512. C4×D68C23semidirect
513. C4×D68C23semidirect
514. C4×D68C23semidirect
520. #10587558C23semidirect
521. #10587558C23semidirect
522. #10587558C23semidirect
523. #10587558C23semidirect
524. #10587558C23semidirect
525. #10587558C23semidirect
526. #10587558C23semidirect
528. C42×D17C23semidirect
529. C42×D17C23semidirect
530. C42×D17C23semidirect
531. C4×Dic34C23semidirect
532. C4×Dic34C23semidirect
533. C4×Dic34C23semidirect
534. C4×Dic34C23semidirect
587. C2×C22⋊D17#41semidirect
649. C2×C4×D17#41semidirect
858. C22⋊D17C2×#41semidirect
908. C4×D17C2×#41semidirect
936. C2×#529D17semidirect
1033. #529C2×D17semidirect
1044. C2×#126C2×D17semidirect
1045. C2×#126C2×D17semidirect
1053. C2×#125C2×D17semidirect
1059. C2×#124C2×D17semidirect
1077. C2×#123C2×D17semidirect
1091. C2×C22⋊Q8C2×D17semidirect
1116. C2×C4×Q8C2×D17semidirect
1144. C2×C4×D4C2×D17semidirect
1145. C2×C4×D4C2×D17semidirect
1169. C2×#117C2×D17semidirect
1170. C2×#117C2×D17semidirect
1188. C22×C42C2×D17semidirect
1192. C2×C17#3475semidirect
1273. #126C22×D17semidirect
1274. #126C22×D17semidirect
1282. #125C22×D17semidirect
1288. #124C22×D17semidirect
1304. #123C22×D17semidirect
1318. C22⋊Q8C22×D17semidirect
1340. C4×Q8C22×D17semidirect
1367. C4×D4C22×D17semidirect
1368. C4×D4C22×D17semidirect
1390. #117C22×D17semidirect
1391. #117C22×D17semidirect
1515. C2×C42C22×D17semidirect
1516. C17C2×#3475semidirect
1959. C2#14542336direct (N × H)

Maximal subgroups

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

subgroupindex
#145423362
C2×#117635262
C2×#117635212
C2×#117635132
C2×#117635102
C2×#117635022
C2×#117634962
C2×#117634952
C2×#117634912
C2×#117634892
C2×#117634862
C2×#117634842
C2×#117634822
C2×#117634572
C2×#117634512
C2×#117634482
C2×#117633632
C2×#117633462
C2×#117633392
C2×#117633372
C2×#117633182
C2×C4×#632522
C2×#117632772
C2×C4×#632542
C2×C4×D4×D172
C22×#105875582
C2×#117×D172
C2×C17×#5292
C2×#347517