Finite Group Databasebeta

← C2×#14543064 #17941477

Subgroups — C2×#14543064 #17941477

Order 4352.

7258 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543064C2132yesmaximal, direct product factor
2C2×#11763561C211yesmaximal, characteristic, complemented
3C2×#11763559C211yesmaximal, characteristic, complemented
4C2×#11763556C211yesmaximal, characteristic, complemented
5C2×#11763554C211yesmaximal, characteristic, complemented
6C2×#11763526C211yesmaximal, characteristic, complemented
7C2×#11763518C211yesmaximal, characteristic, complemented
8C2×#11763516C211yesmaximal, characteristic, complemented
9C2×#11763513C211yesmaximal, characteristic, complemented
10C2×#11763508C211yesmaximal, characteristic, complemented
11C2×#11763505C211yesmaximal, characteristic, complemented
12C2×#11763502C211yesmaximal, characteristic, complemented
13C2×#11763496C211yesmaximal, characteristic, complemented
14C2×#11763472C211yesmaximal, characteristic, complemented
15C2×#11763467C211yesmaximal, characteristic, complemented
16C2×#11763465C211yesmaximal, characteristic, complemented
17C2×#11763459C211yesmaximal, characteristic, complemented
18C2×#11763427C211yesmaximal, characteristic, complemented
19C2×#11763426C211yesmaximal, characteristic, complemented
20C2×#11763423C211yesmaximal, characteristic, complemented
21C2×#11763416C211yesmaximal, characteristic, complemented
22C2×#11763403C211yesmaximal, characteristic, complemented
23C2×#11763400C211yesmaximal, characteristic, complemented
24C2×#11763397C211yesmaximal, characteristic, complemented
25C2×#11763394C211yesmaximal, characteristic, complemented
26C2×#11763394C211yesmaximal, characteristic, complemented
27C2×#11763386C211yesmaximal, characteristic, complemented
28C2×#11763379C211yesmaximal, characteristic, complemented
29C2×#11763315C211yesmaximal, characteristic, complemented
30C2×#11763315C211yesmaximal, characteristic, complemented
31C22×#10587564C211yesmaximal, characteristic, complemented
32C2×C17×#538C211yesmaximal, characteristic, complemented
33C22×#63254C2211yescharacteristic
34C22×#63254C2211yescharacteristic
35C22×#63254C2211yescharacteristic, complemented
36C23×Dic34C2211yescharacteristic
37C22×Q8×D17C2211yescharacteristic, complemented
38C24×Dic17C2211yescharacteristic
39#11763561C22116yescomplemented
40#11763559C22116yescomplemented
41#11763556C22116yescomplemented
42#11763554C22116yescomplemented
43#11763526C22116yescomplemented
44#11763518C22116yescomplemented
45#11763516C22116yescomplemented
46#11763513C22116yescomplemented
47#11763508C22116yescomplemented
48#11763505C22116yescomplemented
49#11763502C22116yescomplemented
50#11763496C22116yescomplemented
51#11763472C22116yescomplemented
52#11763467C22116yescomplemented
53#11763465C22116yescomplemented
54#11763459C22116yescomplemented
55#11763427C22116yescomplemented
56#11763426C22116yescomplemented
57#11763423C22116yescomplemented
58#11763416C22116yescomplemented
59#11763403C22116yescomplemented
60#11763400C22116yescomplemented
61#11763397C22116yescomplemented
62#11763394C22116yescomplemented
63#11763394C22116yescomplemented
64#11763386C22116yescomplemented
65#11763379C22116yescomplemented
66C2×#10587555C2211yescharacteristic, complemented
67C2×#10587574C2211yescharacteristic, complemented
68C2×#10587574C2211yescharacteristic, complemented
69C2×#10587574C2211yescharacteristic, complemented
70C2×#10587630C2211yescharacteristic, complemented
71C2×#10587630C2211yescharacteristic, complemented
72C2×#10587584C2211yescharacteristic, complemented
73C2×#10587584C2211yescharacteristic, complemented
74C2×#10587584C2211yescharacteristic, complemented
75C2×#10587562C2211yescharacteristic, complemented
76C2×#10587565C2211yescharacteristic
77C2×#10587565C2211yescharacteristic
78C2×#10587565C2211yescharacteristic
79C2×#10587565C2211yescharacteristic
80C2×#10587565C2211yescharacteristic
81C2×#10587565C2211yescharacteristic
82C2×#10587565C2211yescharacteristic, complemented
83C2×#10587565C2211yescharacteristic, complemented
84C2×#10587556C2211yescharacteristic, complemented
85C2×#10587556C2211yescharacteristic, complemented
86C2×#10587576C2211yescharacteristic, complemented
87C2×#10587576C2211yescharacteristic, complemented
88C2×#10587576C2211yescharacteristic, complemented
89C2×#10587575C2211yescharacteristic, complemented
90C2×#10587575C2211yescharacteristic, complemented
91C2×#10587575C2211yescharacteristic, complemented
92C2×#10587575C2211yescharacteristic, complemented
93C2×#10587622C2211yescharacteristic
94C2×#10587622C2211yescharacteristic
95C2×#10587622C2211yescharacteristic, complemented
96C2×#10587571C2211yescharacteristic
97C2×#10587571C2211yescharacteristic
98C2×#10587571C2211yescharacteristic
99C2×#10587571C2211yescharacteristic
100C2×#10587571C2211yescharacteristic, complemented
101C2×#10587571C2211yescharacteristic, complemented
102#11763315C22116yescomplemented
103#11763315C22116yescomplemented
104C2×#10587580C2211yescharacteristic, complemented
105C2×#10587572C2211yescharacteristic
106C2×#10587572C2211yescharacteristic
107C2×#10587615C2211yescharacteristic, complemented
108C2×#10587569C2211yescharacteristic
109C2×#10587569C2211yescharacteristic
110C2×#10587569C2211yescharacteristic
111C2×#10587569C2211yescharacteristic
112C2×#10587569C2211yescharacteristic, complemented
113C2×#10587569C2211yescharacteristic, complemented
114C2×#10587569C2211yescharacteristic, complemented
115C2×#10587621C2211yescharacteristic
116C2×#10587621C2211yescharacteristic
117C2×#10587621C2211yescharacteristic
118C2×#10587621C2211yescharacteristic
119C2×#10587621C2211yescharacteristic, complemented
120C2×#10587583C2211yescharacteristic, complemented
121C2×#10587583C2211yescharacteristic, complemented
122C2×#10587610C2211yescharacteristic
123C2×#10587610C2211yescharacteristic, complemented
124C2×#10587610C2211yescharacteristic, complemented
125C2×#10587582C2211yescharacteristic, complemented
126C2×#10587582C2211yescharacteristic, complemented
127C2×#10587582C2211yescharacteristic, complemented
128C2×#10587582C2211yescharacteristic, complemented
129C2×#10587564C2211yescharacteristic
130C2×#10587564C2211yescharacteristic
131C2×#10587564C2211yescharacteristic
132C2×#10587564C2211yescharacteristic
133C2×#10587564C2211yescharacteristic
134C2×#10587564C2211yescharacteristic
135C2×#10587564C2211yescharacteristic
136C2×#10587564C2211yescharacteristic
137C2×#10587564C2211yescharacteristic
138C2×#10587564C2211yescharacteristic
139C2×#10587564C2211yescharacteristic
140C2×#10587564C2211yescharacteristic
141C2×#10587564C2211yescharacteristic
142C2×#10587564C2211yescharacteristic
143C2×#10587564C22116yescomplemented
144C2×#10587564C2211yescharacteristic, complemented
145C2×#10587564C2211yescharacteristic, complemented
146C2×#10587564C2211yescharacteristic, complemented
147C2×#10587564C2211yescharacteristic, complemented
148C2×#10587564C2211yescharacteristic, complemented
149C2×#10587564C2211yescharacteristic, complemented
150C2×#10587632C2211yescharacteristic, complemented
151C2×#10587616C2211yescharacteristic
152C2×#10587616C2211yescharacteristic, complemented
153C2×#10587570C2211yescharacteristic
154C2×#10587570C2211yescharacteristic
155C2×#10587570C2211yescharacteristic, complemented
156C2×#10587625C2211yescharacteristic
157C2×#10587625C2211yescharacteristic
158C2×#10587625C2211yescharacteristic
159C2×#10587625C2211yescharacteristic
160C2×#10587625C2211yescharacteristic
161C2×#10587625C2211yescharacteristic
162C2×#10587625C2211yescharacteristic
163C2×#10587625C2211yescharacteristic
164C2×#10587625C2211yescharacteristic, complemented
165C2×#10587624C2211yescharacteristic
166C2×#10587624C2211yescharacteristic
167C2×#10587639C2211yescharacteristic
168C2×#10587639C2211yescharacteristic
169C2×C4×Dic34C2211yescharacteristic, complemented
170C2×C4×Dic34C2211yescharacteristic, complemented
171C2×#10587573C2211yescharacteristic, complemented
172C2×#10587573C2211yescharacteristic, complemented
173C2×#10587573C2211yescharacteristic, complemented
174C2×C4×D68C2211yescharacteristic, complemented
175C2×D4×Dic17C2211yescharacteristic
176C2×D4×Dic17C2211yescharacteristic
177C2×D4×Dic17C2211yescharacteristic
178C2×D4×Dic17C2211yescharacteristic
179C2×D4×Dic17C2211yescharacteristic
180C2×D4×Dic17C2211yescharacteristic
181C2×C4×C22⋊D17C2211yescharacteristic
182C2×C4×C22⋊D17C2211yescharacteristic
183C2×C4×C22⋊D17C2211yescharacteristic, complemented
184C2×#10587567C2211yescharacteristic
185C2×#10587567C2211yescharacteristic
186C2×#10587567C2211yescharacteristic
187C2×#10587567C2211yescharacteristic
188C2×#10587567C2211yescharacteristic
189C2×#10587567C2211yescharacteristic
190C2×#10587567C2211yescharacteristic, complemented
191C2×#10587612C2211yescharacteristic, complemented
192C2×#10587558C2211yescharacteristic, complemented
193C2×#10587563C2211yescharacteristic
194C2×#10587563C2211yescharacteristic
195C2×#10587563C2211yescharacteristic, complemented
196C22×C4⋊Dic17C2211yescharacteristic
197C22×C4⋊Dic17C2211yescharacteristic, complemented
198C22×#63225C2211yescharacteristic
199C22×#63225C2211yescharacteristic
200C22×#63225C2211yescharacteristic, complemented
201C2×C4⋊C4×D17C2211yescharacteristic, complemented
202C22×C22⋊Dic17C2211yescharacteristic
203C17×#538C22116yescomplemented
204C2×C17×#126C2211yescharacteristic
205C2×C17×#126C2211yescharacteristic
206C2×C17×#124C2211yescharacteristic
207C2×C17×#124C2211yescharacteristic
208C2×C17×#123C2211yescharacteristic
209C2×C17×#123C2211yescharacteristic
210C2×C17×C22⋊Q8C2211yescharacteristic
211C2×C17×#121C2211yescharacteristic
212C2×C17×#121C2211yescharacteristic
213C2×C17×#121C2211yescharacteristic
214C2×C17×#120C2211yescharacteristic
215C2×C17×#120C2211yescharacteristic
216C2×C4×D4×C17C2211yescharacteristic
217C2×C4×D4×C17C2211yescharacteristic
218C22×C22⋊C4×C17C2211yescharacteristic
219C25×C17C2311yescharacteristic
220C22×Q8×C17C2311yescharacteristic
221C22×D4×C17C2311yescharacteristic
222C22×D4×C17C2311yescharacteristic
223C22×D4×C17C2311yescharacteristic
224C22×D4×C17C2311yescharacteristic
225C22×D4×C17C2311yescharacteristic
226C22×D4×C17C2311yescharacteristic
227C22×D4×C17C2311yescharacteristic
228C23×C4×C17C2311yescharacteristic
229C23×C4×C17C2311yescharacteristic
230C23×C4×C17C2311yescharacteristic
231C23×C4×C17C2311yescharacteristic
232C22×C22⋊D17C2311yescharacteristic
233C22×C22⋊D17C2311yescharacteristic
234C22×C22⋊D17C2311yescharacteristic
235C22×C22⋊D17C2311yescharacteristic
236C22×C22⋊D17C2311yescharacteristic
237C22×C22⋊D17C2311yescharacteristic
238C22×C22⋊D17C2311yescharacteristic
239C22×C22⋊D17C2311yescharacteristic
240C22×C22⋊D17C2311yescharacteristic
241C22×C22⋊D17C2311yescharacteristic
242C23×Dic17—44no—
243C23×Dic17C2311yescharacteristic
244C23×Dic17C2311yescharacteristic
245C23×Dic17C2311yescharacteristic
246C23×Dic17C2311yescharacteristic
247C23×Dic17C2311yescharacteristic
248C23×Dic17C2311yescharacteristic
249C23×Dic17C2311yescharacteristic
250C23×Dic17C2311yescharacteristic
251C23×Dic17C2311yescharacteristic
252C23×Dic17C2311yescharacteristic
253C23×Dic17C2311yescharacteristic
254C23×Dic17C2311yescharacteristic
255C23×Dic17C2318yes—
256C2×Q8×D17—44no—
257C2×Q8×D17C2318yescomplemented
258C2×#63254—44no—
259C2×#63254—44no—
260C2×#63254—44no—
261C2×#63254C2318yes—
262C2×#63254C2318yes—
263C2×#63254C2318yescomplemented
264C22×D68C2311yescharacteristic
265C22×C4×D17C2311yescharacteristic
266C22×C4×D17C2311yescharacteristic
267C22×C4×D17C2311yescharacteristic
268C22×C4×D17C2311yescharacteristic
269C22×C4×D17C2311yescharacteristic
270C22×C4×D17C2311yescharacteristic
271C22×Dic34—44no—
272C22×Dic34C2311yescharacteristic
273C22×Dic34C2311yescharacteristic
274C22×Dic34C2311yescharacteristic
275C22×Dic34C2318yes—
276C22×Dic34C2311yescharacteristic
277C22×Dic34C2311yescharacteristic
278C22×Dic34C2311yescharacteristic
279C22×Dic34C2311yescharacteristic
280C22×Dic34C2311yescharacteristic
281C22×Dic34C2311yescharacteristic
282C17×#126C2318yes—
283C17×#126C2318yes—
284C17×#124C2318yes—
285C17×#124C2318yes—
286C17×#123C2318yes—
287C17×#123C2318yes—
288C17×C22⋊Q8C2318yes—
289C17×#121C2318yes—
290C17×#121C2318yes—
291C17×#121C2318yes—
292C17×#120C2318yes—
293C17×#120C2318yes—
294C4×D4×C17C2318yes—
295C4×D4×C17C2318yes—
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×C22⋊C4×C17C2311yescharacteristic
303C2×C22⋊C4×C17C2311yescharacteristic
304C2×C22⋊C4×C17C2311yescharacteristic
305C2×C22⋊C4×C17C2311yescharacteristic
306C2×C22⋊C4×C17C2318yes—
307C2×C22⋊C4×C17C2311yescharacteristic
308C2×C22⋊C4×C17C2311yescharacteristic
309C2×C22⋊C4×C17C2311yescharacteristic
310C2×C22⋊C4×C17C2311yescharacteristic
311C2×C22⋊C4×C17C2311yescharacteristic
312C2×C22⋊C4×C17C2311yescharacteristic
313C2×C22⋊C4×C17C2311yescharacteristic
314C2×C22⋊C4×C17C2311yescharacteristic
315C2×C22⋊C4×C17C2311yescharacteristic
316C2×C22⋊C4×C17C2311yescharacteristic
317C2×C42×C17C2311yescharacteristic
318C2×C42×C17C2311yescharacteristic
319#10587639C2318yes—
320#10587639C2318yes—
321C2×C22⋊Dic17C2311yescharacteristic
322C2×C22⋊Dic17C2311yescharacteristic
323C2×C22⋊Dic17C2311yescharacteristic
324C2×C22⋊Dic17C2311yescharacteristic
325C2×C22⋊Dic17C2318yes—
326C2×C22⋊Dic17C2311yescharacteristic
327C2×C22⋊Dic17C2311yescharacteristic
328C2×C22⋊Dic17C2311yescharacteristic
329C2×C22⋊Dic17C2311yescharacteristic
330C2×C22⋊Dic17C2311yescharacteristic
331C2×C22⋊Dic17C2311yescharacteristic
332C2×C22⋊Dic17C2311yescharacteristic
333C2×C22⋊Dic17C2311yescharacteristic
334C2×C22⋊Dic17C2311yescharacteristic
335C2×C22⋊Dic17C2311yescharacteristic
336C2×C22⋊Dic17C2311yescharacteristic
337C2×C22⋊Dic17C2311yescharacteristic
338C2×C22⋊Dic17C2311yescharacteristic
339C2×C22⋊Dic17C2311yescharacteristic
340#10587632C2318yescomplemented
341#10587630C2318yescomplemented
342#10587630C2318yescomplemented
343#10587625C2318yes—
344#10587625C2318yes—
345#10587625C2318yes—
346#10587625C2318yes—
347#10587625C2318yes—
348#10587625C2318yes—
349#10587625C2318yes—
350#10587625C2318yes—
351#10587625C2318yescomplemented
352#10587624C2318yes—
353#10587624C2318yes—
354#10587622C2318yes—
355#10587622C2318yes—
356#10587622C2318yescomplemented
357#10587621C2318yes—
358#10587621C2318yes—
359#10587621C2318yes—
360#10587621C2318yes—
361#10587621C2318yescomplemented
362D4×Dic17C2318yes—
363D4×Dic17C2318yes—
364D4×Dic17C2318yes—
365D4×Dic17C2318yes—
366D4×Dic17C2318yes—
367D4×Dic17C2318yes—
368#10587616C2318yes—
369#10587616C2318yescomplemented
370#10587615C2318yescomplemented
371C4×C22⋊D17C2318yes—
372C4×C22⋊D17C2318yes—
373C4×C22⋊D17C2318yescomplemented
374C2×#63227C2311yescharacteristic
375C2×#63227C2311yescharacteristic
376C2×#63227C2311yescharacteristic
377C2×#63227C2311yescharacteristic
378C2×#63227C2311yescharacteristic
379C2×#63227C2311yescharacteristic
380C2×#63227C2311yescharacteristic
381C2×#63227C2311yescharacteristic
382C2×#63227C2311yescharacteristic
383C2×#63227C2311yescharacteristic
384C2×#63227C2311yescharacteristic
385C2×#63227C2311yescharacteristic
386#10587612C2318yescomplemented
387C2×C4⋊Dic17C2318yes—
388C2×C4⋊Dic17C2311yescharacteristic
389C2×C4⋊Dic17C2311yescharacteristic
390C2×C4⋊Dic17C2311yescharacteristic
391C2×C4⋊Dic17C2311yescharacteristic
392C2×C4⋊Dic17C2311yescharacteristic
393C2×C4⋊Dic17C2311yescharacteristic
394C2×C4⋊Dic17C2311yescharacteristic
395C2×C4⋊Dic17C2311yescharacteristic
396C2×C4⋊Dic17C2311yescharacteristic
397C2×C4⋊Dic17C2311yescharacteristic
398C2×C4⋊Dic17C2311yescharacteristic
399C2×C4⋊Dic17C2311yescharacteristic
400C2×C4⋊Dic17C2311yescharacteristic
401C2×C4⋊Dic17C2311yescharacteristic
402C2×C4⋊Dic17C2318yescomplemented
403#10587610C2318yes—
404#10587610C2318yescomplemented
405#10587610C2318yescomplemented
406C2×#63225C2318yes—
407C2×#63225C2318yes—
408C2×#63225C2311yescharacteristic
409C2×#63225C2311yescharacteristic
410C2×#63225C2311yescharacteristic
411C2×#63225C2311yescharacteristic
412C2×#63225C2311yescharacteristic
413C2×#63225C2311yescharacteristic
414C2×#63225C2311yescharacteristic
415C2×#63225C2311yescharacteristic
416C2×#63225C2311yescharacteristic
417C2×#63225C2311yescharacteristic
418C2×#63225C2311yescharacteristic
419C2×#63225C2311yescharacteristic
420C2×#63225C2311yescharacteristic
421C2×#63225C2311yescharacteristic
422C2×#63225C2311yescharacteristic
423C2×#63225C2311yescharacteristic
424C2×#63225C2311yescharacteristic
425C2×#63225C2311yescharacteristic
426C2×#63225C2311yescharacteristic
427C2×#63225C2311yescharacteristic
428C2×#63225C2311yescharacteristic
429C2×#63225C2311yescharacteristic
430C2×#63225C2311yescharacteristic
431C2×#63225C2311yescharacteristic
432C2×#63225C2311yescharacteristic
433C2×#63225C2311yescharacteristic
434C2×#63225C2311yescharacteristic
435C2×#63225C2311yescharacteristic
436C2×#63225C2318yescomplemented
437C2×C4×Dic17C2311yescharacteristic
438C2×C4×Dic17C2311yescharacteristic
439C2×C4×Dic17C2311yescharacteristic
440C2×C4×Dic17C2311yescharacteristic
441C2×C4×Dic17C2311yescharacteristic
442C2×C4×Dic17C2311yescharacteristic
443C2×C4×Dic17C2311yescharacteristic
444C2×C4×Dic17C2311yescharacteristic
445C2×C4×Dic17C2311yescharacteristic
446C2×C4×Dic17C2311yescharacteristic
447#10587584C2318yescomplemented
448#10587584C2318yescomplemented
449#10587584C2318yescomplemented
450#10587583C2318yescomplemented
451#10587583C2318yescomplemented
452#10587582C2318yescomplemented
453#10587582C2318yescomplemented
454#10587582C2318yescomplemented
455#10587582C2318yescomplemented
456#10587580C2318yescomplemented
457C4⋊C4×D17C2318yescomplemented
458#10587576C2318yescomplemented
459#10587576C2318yescomplemented
460#10587576C2318yescomplemented
461#10587575C2318yescomplemented
462#10587575C2318yescomplemented
463#10587575C2318yescomplemented
464#10587575C2318yescomplemented
465#10587574C2318yescomplemented
466#10587574C2318yescomplemented
467#10587574C2318yescomplemented
468#10587573C2318yescomplemented
469#10587573C2318yescomplemented
470#10587573C2318yescomplemented
471#10587572C2318yes—
472#10587572C2318yes—
473#10587571C2318yes—
474#10587571C2318yes—
475#10587571C2318yes—
476#10587571C2318yes—
477#10587571C2318yescomplemented
478#10587571C2318yescomplemented
479#10587570C2318yes—
480#10587570C2318yes—
481#10587570C2318yescomplemented
482#10587569C2318yes—
483#10587569C2318yes—
484#10587569C2318yes—
485#10587569C2318yes—
486#10587569C2318yescomplemented
487#10587569C2318yescomplemented
488#10587569C2318yescomplemented
489#10587567C2318yes—
490#10587567C2318yes—
491#10587567C2318yes—
492#10587567C2318yes—
493#10587567C2318yes—
494#10587567C2318yes—
495#10587567C2318yescomplemented
496#10587565C2318yes—
497#10587565C2318yes—
498#10587565C2318yes—
499#10587565C2318yes—
500#10587565C2318yes—
501#10587565C2318yes—
502#10587565C2318yescomplemented
503#10587565C2318yescomplemented
504#10587564C2318yes—
505#10587564C2318yes—
506#10587564C2318yes—
507#10587564C2318yes—
508#10587564C2318yes—
509#10587564C2318yes—
510#10587564C2318yes—
511#10587564C2318yes—
512#10587564C2318yes—
513#10587564C2318yes—
514#10587564C2318yes—
515#10587564C2318yes—
516#10587564C2318yes—
517#10587564C2318yes—
518#10587564C2318yescomplemented
519#10587564C2318yescomplemented
520#10587564C2318yescomplemented
521#10587564C2318yescomplemented
522#10587564C2318yescomplemented
523#10587564C2318yescomplemented
524#10587563C2318yes—
525#10587563C2318yes—
526#10587563C2318yescomplemented
527#10587562C2318yescomplemented
528C4×D68C2318yescomplemented
529#10587558C2318yescomplemented
530#10587556C2318yescomplemented
531#10587556C2318yescomplemented
532#10587555C2318yescomplemented
533C4×Dic34C2318yescomplemented
534C4×Dic34C2318yescomplemented
535C24×C17—24no—
536C24×C17—42no—
537C24×C17—42no—
538C24×C17C2411yescharacteristic
539C24×C17C2411yescharacteristic
540C24×C17C2411yescharacteristic
541C24×C17C2411yescharacteristic
542C24×C17C2411yescharacteristic
543C24×C17C2414yes—
544C23×D17C2411yescharacteristic
545C23×D17C2411yescharacteristic
546C2×Q8×C17—42no—
547C2×Q8×C17C2414yes—
548C2×D4×C17—24no—
549C2×D4×C17—24no—
550C2×D4×C17—42no—
551C2×D4×C17—42no—
552C2×D4×C17—42no—
553C2×D4×C17—42no—
554C2×D4×C17—42no—
555C2×D4×C17C2414yes—
556C2×D4×C17C2414yes—
557C2×D4×C17C2414yes—
558C2×D4×C17C2414yes—
559C2×D4×C17C2414yes—
560C2×D4×C17C2414yes—
561C2×D4×C17C2414yes—
562C22×C4×C17—42no—
563C22×C4×C17—42no—
564C22×C4×C17—42no—
565C22×C4×C17—42no—
566C22×C4×C17C2411yescharacteristic
567C22×C4×C17C2411yescharacteristic
568C22×C4×C17C2411yescharacteristic
569C22×C4×C17C2411yescharacteristic
570C22×C4×C17C2411yescharacteristic
571C22×C4×C17C2411yescharacteristic
572C22×C4×C17C2411yescharacteristic
573C22×C4×C17C2411yescharacteristic
574C22×C4×C17C2411yescharacteristic
575C22×C4×C17C2411yescharacteristic
576C22×C4×C17C2414yes—
577C22×C4×C17C2414yes—
578C22×C4×C17C2414yes—
579C22×C4×C17C2414yes—
580C2×C22⋊D17—24no—
581C2×C22⋊D17—24no—
582C2×C22⋊D17—24no—
583C2×C22⋊D17—42no—
584C2×C22⋊D17—42no—
585C2×C22⋊D17—42no—
586C2×C22⋊D17—42no—
587C2×C22⋊D17—42no—
588C2×C22⋊D17—42no—
589C2×C22⋊D17—42no—
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—416no—
605C22×Dic17—42no—
606C22×Dic17—42no—
607C22×Dic17—42no—
608C22×Dic17—42no—
609C22×Dic17—42no—
610C22×Dic17—42no—
611C22×Dic17—42no—
612C22×Dic17—42no—
613C22×Dic17C2411yescharacteristic
614C22×Dic17C2411yescharacteristic
615C22×Dic17C2414yes—
616C22×Dic17C2411yescharacteristic
617C22×Dic17C2411yescharacteristic
618C22×Dic17C2411yescharacteristic
619C22×Dic17C2411yescharacteristic
620C22×Dic17C2411yescharacteristic
621C22×Dic17C2411yescharacteristic
622C22×Dic17C2411yescharacteristic
623C22×Dic17C2411yescharacteristic
624C22×Dic17C2414yes—
625C22×Dic17C2414yes—
626C22×Dic17C2414yes—
627C22×Dic17C2411yescharacteristic
628C22×Dic17C2411yescharacteristic
629C22×Dic17C2411yescharacteristic
630C22×Dic17C2414yes—
631C22×Dic17C2414yes—
632C22×Dic17C2414yes—
633C22×Dic17C2414yes—
634C22×Dic17C2414yes—
635C22×Dic17C2414yes—
636C22×Dic17C2414yes—
637C22×Dic17C2414yes—
638C22×Dic17C2411yescharacteristic
639Q8×D17—416no—
640#63254—416no—
641#63254—416no—
642#63254—416no—
643C2×D68—42no—
644C2×D68C2414yes—
645C2×C4×D17—24no—
646C2×C4×D17—42no—
647C2×C4×D17—42no—
648C2×C4×D17—42no—
649C2×C4×D17—42no—
650C2×C4×D17—42no—
651C2×C4×D17C2414yes—
652C2×C4×D17C2414yes—
653C2×C4×D17C2414yes—
654C2×C4×D17C2414yes—
655C2×C4×D17C2414yes—
656C2×C4×D17C2414yes—
657C2×Dic34—24no—
658C2×Dic34—24no—
659C2×Dic34—24no—
660C2×Dic34—416no—
661C2×Dic34—42no—
662C2×Dic34—42no—
663C2×Dic34—42no—
664C2×Dic34—42no—
665C2×Dic34—42no—
666C2×Dic34—42no—
667C2×Dic34C2414yes—
668C2×Dic34C2414yes—
669C2×Dic34C2414yes—
670C2×Dic34C2414yes—
671C2×Dic34C2414yes—
672C2×Dic34C2414yes—
673C2×Dic34C2414yes—
674C2×Dic34C2414yes—
675C2×Dic34C2414yes—
676C4⋊C4×C17C2414yes—
677C4⋊C4×C17C2414yes—
678C4⋊C4×C17C2414yes—
679C4⋊C4×C17C2414yes—
680C4⋊C4×C17C2414yes—
681C4⋊C4×C17C2414yes—
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—
698C22⋊Dic17C2414yes—
699C22⋊Dic17C2414yes—
700C22⋊Dic17C2414yes—
701C22⋊Dic17C2414yes—
702C22⋊Dic17C2414yes—
703C22⋊Dic17C2414yes—
704C22⋊Dic17C2414yes—
705C22⋊Dic17C2414yes—
706C22⋊Dic17C2414yes—
707C22⋊Dic17C2414yes—
708C22⋊Dic17C2414yes—
709C22⋊Dic17C2414yes—
710C22⋊Dic17C2414yes—
711C22⋊Dic17C2414yes—
712C22⋊Dic17C2414yes—
713C22⋊Dic17C2414yes—
714C22⋊Dic17C2414yes—
715C22⋊Dic17C2414yes—
716#63227C2414yes—
717#63227C2414yes—
718#63227C2414yes—
719#63227C2414yes—
720#63227C2414yes—
721#63227C2414yes—
722#63227C2414yes—
723#63227C2414yes—
724#63227C2414yes—
725#63227C2414yes—
726#63227C2414yes—
727#63227C2414yes—
728C4⋊Dic17C2414yes—
729C4⋊Dic17C2414yes—
730C4⋊Dic17C2414yes—
731C4⋊Dic17C2414yes—
732C4⋊Dic17C2414yes—
733C4⋊Dic17C2414yes—
734C4⋊Dic17C2414yes—
735C4⋊Dic17C2414yes—
736C4⋊Dic17C2414yes—
737C4⋊Dic17C2414yes—
738C4⋊Dic17C2414yes—
739C4⋊Dic17C2414yes—
740C4⋊Dic17C2414yes—
741C4⋊Dic17C2414yes—
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—
764#63225C2414yes—
765#63225C2414yes—
766#63225C2414yes—
767#63225C2414yes—
768#63225C2414yes—
769#63225C2414yes—
770C4×Dic17C2414yes—
771C4×Dic17C2414yes—
772C4×Dic17C2414yes—
773C4×Dic17C2414yes—
774C4×Dic17C2414yes—
775C4×Dic17C2414yes—
776C4×Dic17C2414yes—
777C4×Dic17C2414yes—
778C4×Dic17C2414yes—
779C4×Dic17C2414yes—
780C2×#3541—171nomaximal, Sylow
781C23×C17—22no—
782C23×C17—22no—
783C23×C17—22no—
784C23×C17—22no—
785C23×C17—22no—
786C23×C17—22no—
787C23×C17—22no—
788C23×C17—22no—
789C23×C17—28no—
790C23×C17—22no—
791C23×C17—22no—
792C23×C17—22no—
793C23×C17—22no—
794C23×C17—22no—
795C23×C17—22no—
796C23×C17—44no—
797C23×C17—44no—
798C23×C17—416no—
799C23×C172−1+414yes—
800C23×C17C2512yes—
801C23×C17C2512yes—
802C23×C17C2512yes—
803C23×C17C2512yes—
804C23×C17C2512yes—
805C23×C17C2511yescharacteristic
806C22×D17—22no—
807C22×D17—22no—
808C22×D17—22no—
809C22×D17—22no—
810C22×D17—22no—
811C22×D17—22no—
812C22×D17C2512yes—
813C22×D17C2512yes—
814Q8×C17—44no—
815D4×C17—28no—
816D4×C17—28no—
817D4×C17—44no—
818D4×C17—44no—
819D4×C17—44no—
820D4×C17—44no—
821D4×C17—44no—
822C2×C4×C17—22no—
823C2×C4×C17—22no—
824C2×C4×C17—22no—
825C2×C4×C17—22no—
826C2×C4×C17—22no—
827C2×C4×C17—22no—
828C2×C4×C17—22no—
829C2×C4×C17—22no—
830C2×C4×C17—22no—
831C2×C4×C17—22no—
832C2×C4×C17—44no—
833C2×C4×C17—44no—
834C2×C4×C17—44no—
835C2×C4×C17—44no—
836C2×C4×C17C2512yes—
837C2×C4×C17C2512yes—
838C2×C4×C17C2512yes—
839C2×C4×C17C2512yes—
840C2×C4×C17C2512yes—
841C2×C4×C17C2512yes—
842C2×C4×C17C2512yes—
843C2×C4×C17C2512yes—
844C2×C4×C17C2512yes—
845C2×C4×C17C2512yes—
846C22⋊D17—28no—
847C22⋊D17—28no—
848C22⋊D17—28no—
849C22⋊D17—44no—
850C22⋊D17—44no—
851C22⋊D17—44no—
852C22⋊D17—44no—
853C22⋊D17—44no—
854C22⋊D17—44no—
855C22⋊D17—44no—
856C2×Dic17—22no—
857C2×Dic17—22no—
858C2×Dic17—22no—
859C2×Dic17—22no—
860C2×Dic17—22no—
861C2×Dic17—22no—
862C2×Dic17—22no—
863C2×Dic17—22no—
864C2×Dic17—22no—
865C2×Dic17—22no—
866C2×Dic17—22no—
867C2×Dic17—22no—
868C2×Dic17—22no—
869C2×Dic17—28no—
870C2×Dic17—28no—
871C2×Dic17—28no—
872C2×Dic17—28no—
873C2×Dic17—44no—
874C2×Dic17—44no—
875C2×Dic17—44no—
876C2×Dic17—44no—
877C2×Dic17—44no—
878C2×Dic17—44no—
879C2×Dic17—44no—
880C2×Dic17—44no—
881C2×Dic17H(5,𝔽2)14yes—
882C2×Dic17C2512yes—
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—44no—
897C4×D17—28no—
898C4×D17—44no—
899C4×D17—44no—
900C4×D17—44no—
901C4×D17—44no—
902C4×D17—44no—
903Dic34—28no—
904Dic34—28no—
905Dic34—28no—
906Dic34—44no—
907Dic34—44no—
908Dic34—44no—
909Dic34—44no—
910Dic34—44no—
911Dic34—44no—
912#3541—1732no—
913C2×#563—171no—
914C2×#563—171no—
915C2×#562—171no—
916C2×#562—171no—
917C2×#556—171no—
918C2×#554—171no—
919C2×#554—171no—
920C2×#554—171no—
921C2×#553—171no—
922C2×#553—171no—
923C2×#553—171no—
924C2×#552—171no—
925C2×D4×Q8—171no—
926C2×#548—171no—
927C2×#548—171no—
928C2×#547—171no—
929C2×#542—171no—
930C2×#542—171no—
931C2×#542—171no—
932C2×#541—171no—
933C2×#539—171no—
934C2×#539—171no—
935C2×#538—171no—
936C2×#538—171no—
937C2×#538—171no—
938C2×#538D1711yescharacteristic, complemented
939C2×#537—171no—
940C2×#536—171no—
941C2×#525—171no—
942C2×#525—171no—
943C22×C22⋊Q8—171no—
944C22×C17—22no—
945C22×C17—22no—
946C22×C17—28no—
947C22×C17—22no—
948C22×C17—22no—
949C22×C17—22no—
950C22×C17—22no—
951C22×C17—22no—
952C22×C17—22no—
953C22×C17—22no—
954C22×C17—22no—
955C22×C17—22no—
956C22×C17—22no—
957C22×C17—22no—
958C22×C17—22no—
959C22×C17—416no—
960C22×C17—44no—
961C22×C17—44no—
962C22×C17—44no—
963C22×C17—44no—
964C22×C17C2×H(5,𝔽2)12yes—
965C22×C17C2×2−1+414yes—
966C22×C17C2×2−1+412yes—
967C22×C17#58512yes—
968C22×C17C2611yescharacteristic
969C2×D17—22no—
970C2×D17—22no—
971C2×D17—22no—
972C2×D17—22no—
973C2×D17—22no—
974C2×D17—22no—
975C2×D17—44no—
976C2×D17—44no—
977C4×C17—22no—
978C4×C17—22no—
979C4×C17—22no—
980C4×C17—22no—
981C4×C17—22no—
982C4×C17—22no—
983C4×C17—22no—
984C4×C17—22no—
985C4×C17—22no—
986C4×C17—22no—
987Dic17—22no—
988Dic17—22no—
989Dic17—22no—
990Dic17—22no—
991Dic17—22no—
992Dic17—22no—
993Dic17—22no—
994Dic17—22no—
995Dic17—22no—
996Dic17—22no—
997Dic17—22no—
998Dic17—22no—
999Dic17—22no—
1000Dic17C2×H(5,𝔽2)14yes—
1001C22×#41—171no—
1002C22×#41—171no—
1003C22×#41—171no—
1004C23×Q8—171no—
1005C23×Q8—171no—
1006C24×C4—171no—
1007#563—1716no—
1008#563—1716no—
1009#562—1716no—
1010#562—1716no—
1011#556—1716no—
1012#554—1716no—
1013#554—1716no—
1014#554—1716no—
1015#553—1716no—
1016#553—1716no—
1017#553—1716no—
1018#552—1716no—
1019D4×Q8—1716no—
1020#548—1716no—
1021#548—1716no—
1022#547—1716no—
1023#542—1716no—
1024#542—1716no—
1025#542—1716no—
1026#541—1716no—
1027#539—1716no—
1028#539—1716no—
1029#538—1716no—
1030#538—1716no—
1031#538—1716no—
1032#538C2×D17116yescomplemented
1033#537—1716no—
1034#536—1716no—
1035C2×C4⋊Q8—171no—
1036C2×C4⋊Q8—171no—
1037C2×C4⋊Q8—171no—
1038C2×C4⋊Q8—171no—
1039C2×C4⋊Q8—171no—
1040C2×C4⋊Q8—171no—
1041C2×#126—171no—
1042C2×#126—171no—
1043C2×#126—171no—
1044C2×#126—171no—
1045C2×#126—171no—
1046C2×#126—171no—
1047C2×#126—171no—
1048C2×#126—171no—
1049C2×#126—171no—
1050C2×#126—171no—
1051C2×#126—171no—
1052C2×#126—171no—
1053C2×#126C2×D1711yescharacteristic
1054C2×#126C2×D1711yescharacteristic
1055C2×#125—171no—
1056C2×#125—171no—
1057C2×#125—171no—
1058C2×#125—171no—
1059C2×#125—171no—
1060C2×#125—171no—
1061C2×#125—171no—
1062C2×#125—171no—
1063C2×#125—171no—
1064C2×#124—171no—
1065C2×#124—171no—
1066C2×#124—171no—
1067C2×#124—171no—
1068C2×#124—171no—
1069C2×#124—171no—
1070C2×#124—171no—
1071C2×#124—171no—
1072C2×#124—171no—
1073C2×#124C2×D1711yescharacteristic
1074C2×#124C2×D1711yescharacteristic
1075#525—1716no—
1076#525—1716no—
1077C2×#123—171no—
1078C2×#123—171no—
1079C2×#123—171no—
1080C2×#123—171no—
1081C2×#123—171no—
1082C2×#123—171no—
1083C2×#123—171no—
1084C2×#123—171no—
1085C2×#123—171no—
1086C2×#123—171no—
1087C2×#123—171no—
1088C2×#123—171no—
1089C2×#123—171no—
1090C2×#123—171no—
1091C2×#123—171no—
1092C2×#123—171no—
1093C2×#123C2×D1711yescharacteristic
1094C2×#123C2×D1711yescharacteristic
1095C2×C22⋊Q8—171no—
1096C2×C22⋊Q8—171no—
1097C2×C22⋊Q8—171no—
1098C2×C22⋊Q8—171no—
1099C2×C22⋊Q8—171no—
1100C2×C22⋊Q8—171no—
1101C2×C22⋊Q8—171no—
1102C2×C22⋊Q8—171no—
1103C2×C22⋊Q8—171no—
1104C2×C22⋊Q8—171no—
1105C2×C22⋊Q8—171no—
1106C2×C22⋊Q8—171no—
1107C2×C22⋊Q8—171no—
1108C2×C22⋊Q8—171no—
1109C2×C22⋊Q8—171no—
1110C2×C22⋊Q8—171no—
1111C2×C22⋊Q8—171no—
1112C2×C22⋊Q8—171no—
1113C2×C22⋊Q8—1716no—
1114C2×C22⋊Q8—171no—
1115C2×C22⋊Q8—171no—
1116C2×C22⋊Q8—171no—
1117C2×C22⋊Q8—171no—
1118C2×C22⋊Q8—171no—
1119C2×C22⋊Q8—171no—
1120C2×C22⋊Q8—171no—
1121C2×C22⋊Q8—171no—
1122C2×C22⋊Q8—171no—
1123C2×C22⋊Q8—171no—
1124C2×C22⋊Q8—171no—
1125C2×C22⋊Q8—171no—
1126C2×C22⋊Q8C2×D1711yescharacteristic
1127C2×#121—171no—
1128C2×#121—171no—
1129C2×#121—171no—
1130C2×#121—171no—
1131C2×#121—171no—
1132C2×#121—171no—
1133C2×#121—171no—
1134C2×#121—171no—
1135C2×#121—171no—
1136C2×#121—171no—
1137C2×#121—171no—
1138C2×#121—171no—
1139C2×#121—171no—
1140C2×#121—171no—
1141C2×#121—171no—
1142C2×#121—171no—
1143C2×#121C2×D1711yescharacteristic
1144C2×#121C2×D1711yescharacteristic
1145C2×#121C2×D1711yescharacteristic
1146C2×#120—171no—
1147C2×#120—171no—
1148C2×#120C2×D1711yescharacteristic
1149C2×#120C2×D1711yescharacteristic
1150C2×C4×Q8—171no—
1151C2×C4×Q8—171no—
1152C2×C4×Q8—171no—
1153C2×C4×Q8—171no—
1154C2×C4×Q8—171no—
1155C2×C4×D4—171no—
1156C2×C4×D4—171no—
1157C2×C4×D4—171no—
1158C2×C4×D4—171no—
1159C2×C4×D4—171no—
1160C2×C4×D4—171no—
1161C2×C4×D4—171no—
1162C2×C4×D4—171no—
1163C2×C4×D4—171no—
1164C2×C4×D4—171no—
1165C2×C4×D4—171no—
1166C2×C4×D4—171no—
1167C2×C4×D4—171no—
1168C2×C4×D4—171no—
1169C2×C4×D4—171no—
1170C2×C4×D4—171no—
1171C2×C4×D4—171no—
1172C2×C4×D4C2×D1711yescharacteristic
1173C2×C4×D4C2×D1711yescharacteristic
1174C2×#117—171no—
1175C2×#117—171no—
1176C2×#117—171no—
1177C2×#117—171no—
1178C2×#117—171no—
1179C22×C4⋊C4—171no—
1180C22×C4⋊C4—171no—
1181C22×C4⋊C4—171no—
1182C22×C4⋊C4—171no—
1183C22×C4⋊C4—171no—
1184C22×C4⋊C4—171no—
1185C22×C22⋊C4—171no—
1186C22×C22⋊C4C2×D1711yescharacteristic
1187C2×C17—24no—
1188C2×C17—42no—
1189C2×C17—42no—
1190C2×C17—42no—
1191C2×C17—42no—
1192C2×C17#354114yescomplemented
1193C2×C17C22×H(5,𝔽2)11yescharacteristic
1194C2×C17C22×2−1+411yescharacteristic
1195C2×C17C2×#58511yescharacteristic
1196D17—42no—
1197D17—42no—
1198C25C22×D1711yescharacteristic
1199C2×#41—178no—
1200C2×#41—178no—
1201C2×#41—178no—
1202C2×#41—684no—
1203C2×#41—684no—
1204C2×#41—684no—
1205C22×Q8—178no—
1206C22×Q8—171no—
1207C22×Q8—171no—
1208C22×Q8—171no—
1209C22×Q8—171no—
1210C22×Q8—171no—
1211C22×Q8—171no—
1212C22×Q8—171no—
1213C22×Q8—171no—
1214C22×Q8—171no—
1215C22×Q8—178no—
1216C22×Q8—684no—
1217C22×Q8—684no—
1218C22×Q8C22×D1711yescharacteristic
1219C22×D4—171no—
1220C22×D4—171no—
1221C22×D4—171no—
1222C22×D4—171no—
1223C22×D4—171no—
1224C22×D4—171no—
1225C22×D4—171no—
1226C22×D4—171no—
1227C22×D4—171no—
1228C22×D4—171no—
1229C22×D4—171no—
1230C22×D4C22×D1711yescharacteristic
1231C22×D4C22×D1711yescharacteristic
1232C22×D4C22×D1711yescharacteristic
1233C22×D4C22×D1711yescharacteristic
1234C22×D4C22×D1711yescharacteristic
1235C22×D4C22×D1711yescharacteristic
1236C22×D4C22×D1711yescharacteristic
1237C23×C4—171no—
1238C23×C4—171no—
1239C23×C4—171no—
1240C23×C4—171no—
1241C23×C4—171no—
1242C23×C4—171no—
1243C23×C4—171no—
1244C23×C4—171no—
1245C23×C4—171no—
1246C23×C4—171no—
1247C23×C4—171no—
1248C23×C4—171no—
1249C23×C4—178no—
1250C23×C4—171no—
1251C23×C4—171no—
1252C23×C4—171no—
1253C23×C4—171no—
1254C23×C4—171no—
1255C23×C4—171no—
1256C23×C4—684no—
1257C23×C4C22×D1711yescharacteristic
1258C23×C4C22×D1711yescharacteristic
1259C23×C4C22×D1711yescharacteristic
1260C23×C4C22×D1711yescharacteristic
1261C4⋊Q8—178no—
1262C4⋊Q8—178no—
1263C4⋊Q8—178no—
1264C4⋊Q8—178no—
1265C4⋊Q8—178no—
1266C4⋊Q8—178no—
1267#126—178no—
1268#126—178no—
1269#126—178no—
1270#126—178no—
1271#126—178no—
1272#126—178no—
1273#126—178no—
1274#126—178no—
1275#126—178no—
1276#126—178no—
1277#126—178no—
1278#126—178no—
1279#126C22×D1718yes—
1280#126C22×D1718yes—
1281#125—178no—
1282#125—178no—
1283#125—178no—
1284#125—178no—
1285#125—178no—
1286#125—178no—
1287#125—178no—
1288#125—178no—
1289#125—178no—
1290#124—178no—
1291#124—178no—
1292#124—178no—
1293#124—178no—
1294#124—178no—
1295#124—178no—
1296#124—178no—
1297#124—178no—
1298#124—178no—
1299#124C22×D1718yes—
1300#124C22×D1718yes—
1301#123—178no—
1302#123—178no—
1303#123—178no—
1304#123—178no—
1305#123—178no—
1306#123—178no—
1307#123—178no—
1308#123—178no—
1309#123—178no—
1310#123—178no—
1311#123—178no—
1312#123—178no—
1313#123—178no—
1314#123—178no—
1315#123—178no—
1316#123—178no—
1317#123C22×D1718yes—
1318#123C22×D1718yes—
1319C22⋊Q8—178no—
1320C22⋊Q8—178no—
1321C22⋊Q8—178no—
1322C22⋊Q8—178no—
1323C22⋊Q8—178no—
1324C22⋊Q8—178no—
1325C22⋊Q8—178no—
1326C22⋊Q8—178no—
1327C22⋊Q8—178no—
1328C22⋊Q8—178no—
1329C22⋊Q8—178no—
1330C22⋊Q8—178no—
1331C22⋊Q8—178no—
1332C22⋊Q8—178no—
1333C22⋊Q8—178no—
1334C22⋊Q8—178no—
1335C22⋊Q8—178no—
1336C22⋊Q8—178no—
1337C22⋊Q8—178no—
1338C22⋊Q8—178no—
1339C22⋊Q8—178no—
1340C22⋊Q8—178no—
1341C22⋊Q8—178no—
1342C22⋊Q8—178no—
1343C22⋊Q8—178no—
1344C22⋊Q8—178no—
1345C22⋊Q8—178no—
1346C22⋊Q8—178no—
1347C22⋊Q8—178no—
1348C22⋊Q8—178no—
1349C22⋊Q8C22×D1718yes—
1350#121—178no—
1351#121—178no—
1352#121—178no—
1353#121—178no—
1354#121—178no—
1355#121—178no—
1356#121—178no—
1357#121—178no—
1358#121—178no—
1359#121—178no—
1360#121—178no—
1361#121—178no—
1362#121—178no—
1363#121—178no—
1364#121—178no—
1365#121—178no—
1366#121C22×D1718yes—
1367#121C22×D1718yes—
1368#121C22×D1718yes—
1369#120—178no—
1370#120—178no—
1371#120C22×D1718yes—
1372#120C22×D1718yes—
1373C4×Q8—178no—
1374C4×Q8—178no—
1375C4×Q8—178no—
1376C4×Q8—178no—
1377C4×Q8—178no—
1378C4×D4—178no—
1379C4×D4—178no—
1380C4×D4—178no—
1381C4×D4—178no—
1382C4×D4—178no—
1383C4×D4—178no—
1384C4×D4—178no—
1385C4×D4—178no—
1386C4×D4—178no—
1387C4×D4—178no—
1388C4×D4—178no—
1389C4×D4—178no—
1390C4×D4—178no—
1391C4×D4—178no—
1392C4×D4—178no—
1393C4×D4—178no—
1394C4×D4—178no—
1395C4×D4C22×D1718yes—
1396C4×D4C22×D1718yes—
1397#117—178no—
1398#117—178no—
1399#117—178no—
1400#117—178no—
1401#117—178no—
1402C2×C4⋊C4—171no—
1403C2×C4⋊C4—171no—
1404C2×C4⋊C4—171no—
1405C2×C4⋊C4—171no—
1406C2×C4⋊C4—171no—
1407C2×C4⋊C4—171no—
1408C2×C4⋊C4—171no—
1409C2×C4⋊C4—171no—
1410C2×C4⋊C4—171no—
1411C2×C4⋊C4—171no—
1412C2×C4⋊C4—171no—
1413C2×C4⋊C4—171no—
1414C2×C4⋊C4—171no—
1415C2×C4⋊C4—171no—
1416C2×C4⋊C4—171no—
1417C2×C4⋊C4—171no—
1418C2×C4⋊C4—171no—
1419C2×C4⋊C4—171no—
1420C2×C4⋊C4—171no—
1421C2×C4⋊C4—178no—
1422C2×C4⋊C4—178no—
1423C2×C4⋊C4—178no—
1424C2×C4⋊C4—178no—
1425C2×C4⋊C4—178no—
1426C2×C4⋊C4—171no—
1427C2×C4⋊C4—171no—
1428C2×C4⋊C4—171no—
1429C2×C4⋊C4—171no—
1430C2×C4⋊C4—171no—
1431C2×C4⋊C4—171no—
1432C2×C4⋊C4—171no—
1433C2×C4⋊C4—171no—
1434C2×C4⋊C4—171no—
1435C2×C4⋊C4—171no—
1436C2×C4⋊C4—171no—
1437C2×C4⋊C4—171no—
1438C2×C4⋊C4—171no—
1439C2×C4⋊C4—171no—
1440C2×C4⋊C4—171no—
1441C2×C4⋊C4—171no—
1442C2×C4⋊C4—171no—
1443C2×C4⋊C4—171no—
1444C2×C4⋊C4—171no—
1445C2×C4⋊C4—171no—
1446C2×C4⋊C4—171no—
1447C2×C4⋊C4—171no—
1448C2×C4⋊C4—171no—
1449C2×C4⋊C4—178no—
1450C2×C4⋊C4C22×D1711yescharacteristic
1451C2×C4⋊C4C22×D1711yescharacteristic
1452C2×C4⋊C4C22×D1711yescharacteristic
1453C2×C4⋊C4C22×D1711yescharacteristic
1454C2×C4⋊C4C22×D1711yescharacteristic
1455C2×C4⋊C4C22×D1711yescharacteristic
1456C2×C22⋊C4—171no—
1457C2×C22⋊C4—171no—
1458C2×C22⋊C4—171no—
1459C2×C22⋊C4—171no—
1460C2×C22⋊C4—178no—
1461C2×C22⋊C4—171no—
1462C2×C22⋊C4—171no—
1463C2×C22⋊C4—171no—
1464C2×C22⋊C4—171no—
1465C2×C22⋊C4—171no—
1466C2×C22⋊C4—171no—
1467C2×C22⋊C4—171no—
1468C2×C22⋊C4—171no—
1469C2×C22⋊C4—171no—
1470C2×C22⋊C4—171no—
1471C2×C22⋊C4—171no—
1472C2×C22⋊C4—171no—
1473C2×C22⋊C4—171no—
1474C2×C22⋊C4—171no—
1475C2×C22⋊C4—171no—
1476C2×C22⋊C4—171no—
1477C2×C22⋊C4—171no—
1478C2×C22⋊C4—171no—
1479C2×C22⋊C4—171no—
1480C2×C22⋊C4—171no—
1481C2×C22⋊C4—171no—
1482C2×C22⋊C4—171no—
1483C2×C22⋊C4—171no—
1484C2×C22⋊C4—171no—
1485C2×C22⋊C4—171no—
1486C2×C22⋊C4—171no—
1487C2×C22⋊C4C22×D1711yescharacteristic
1488C2×C22⋊C4C22×D1711yescharacteristic
1489C2×C22⋊C4C22×D1711yescharacteristic
1490C2×C22⋊C4C22×D1711yescharacteristic
1491C2×C22⋊C4C22×D1718yes—
1492C2×C22⋊C4C22×D1711yescharacteristic
1493C2×C22⋊C4C22×D1711yescharacteristic
1494C2×C22⋊C4C22×D1711yescharacteristic
1495C2×C22⋊C4C22×D1711yescharacteristic
1496C2×C22⋊C4C22×D1711yescharacteristic
1497C2×C22⋊C4C22×D1711yescharacteristic
1498C2×C22⋊C4C22×D1711yescharacteristic
1499C2×C22⋊C4C22×D1711yescharacteristic
1500C2×C22⋊C4C22×D1711yescharacteristic
1501C2×C22⋊C4C22×D1711yescharacteristic
1502C2×C42—171no—
1503C2×C42—171no—
1504C2×C42—171no—
1505C2×C42—171no—
1506C2×C42—171no—
1507C2×C42—171no—
1508C2×C42—171no—
1509C2×C42—171no—
1510C2×C42—171no—
1511C2×C42—171no—
1512C2×C42C22×D1711yescharacteristic
1513C2×C42C22×D1711yescharacteristic
1514C17C2×#354111yescharacteristic, complemented, Sylow
1515C24—24no—
1516C24—42no—
1517C24—42no—
1518C24—171no—
1519C24—171no—
1520C24C23×D1711yescharacteristic
1521C24C23×D1711yescharacteristic
1522C24C23×D1711yescharacteristic
1523C24C23×D1711yescharacteristic
1524C24C23×D1711yescharacteristic
1525C24C23×D1714yes—
1526#41—6816no—
1527#41—6816no—
1528#41—6816no—
1529C2×Q8—42no—
1530C2×Q8—174no—
1531C2×Q8—174no—
1532C2×Q8—174no—
1533C2×Q8—174no—
1534C2×Q8—174no—
1535C2×Q8—174no—
1536C2×Q8—174no—
1537C2×Q8—174no—
1538C2×Q8—174no—
1539C2×Q8—344no—
1540C2×Q8—344no—
1541C2×Q8—344no—
1542C2×Q8—682no—
1543C2×Q8—682no—
1544C2×Q8—682no—
1545C2×Q8—682no—
1546C2×Q8—682no—
1547C2×Q8—682no—
1548C2×Q8—6816no—
1549C2×Q8—6816no—
1550C2×Q8C23×D1714yes—
1551C2×D4—24no—
1552C2×D4—24no—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—174no—
1559C2×D4—174no—
1560C2×D4—174no—
1561C2×D4—174no—
1562C2×D4—174no—
1563C2×D4—174no—
1564C2×D4—174no—
1565C2×D4—174no—
1566C2×D4—174no—
1567C2×D4—174no—
1568C2×D4—174no—
1569C2×D4—344no—
1570C2×D4—344no—
1571C2×D4—344no—
1572C2×D4—682no—
1573C2×D4—682no—
1574C2×D4—682no—
1575C2×D4—682no—
1576C2×D4—682no—
1577C2×D4—682no—
1578C2×D4—682no—
1579C2×D4—682no—
1580C2×D4C23×D1714yes—
1581C2×D4C23×D1714yes—
1582C2×D4C23×D1714yes—
1583C2×D4C23×D1714yes—
1584C2×D4C23×D1714yes—
1585C2×D4C23×D1714yes—
1586C2×D4C23×D1714yes—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—171no—
1592C22×C4—174no—
1593C22×C4—174no—
1594C22×C4—174no—
1595C22×C4—174no—
1596C22×C4—171no—
1597C22×C4—171no—
1598C22×C4—171no—
1599C22×C4—171no—
1600C22×C4—171no—
1601C22×C4—171no—
1602C22×C4—171no—
1603C22×C4—171no—
1604C22×C4—171no—
1605C22×C4—171no—
1606C22×C4—171no—
1607C22×C4—171no—
1608C22×C4—171no—
1609C22×C4—174no—
1610C22×C4—174no—
1611C22×C4—174no—
1612C22×C4—174no—
1613C22×C4—174no—
1614C22×C4—174no—
1615C22×C4—174no—
1616C22×C4—174no—
1617C22×C4—174no—
1618C22×C4—174no—
1619C22×C4—174no—
1620C22×C4—174no—
1621C22×C4—174no—
1622C22×C4—174no—
1623C22×C4—344no—
1624C22×C4—344no—
1625C22×C4—344no—
1626C22×C4—344no—
1627C22×C4—344no—
1628C22×C4—682no—
1629C22×C4—682no—
1630C22×C4—682no—
1631C22×C4—682no—
1632C22×C4—682no—
1633C22×C4—6816no—
1634C22×C4—682no—
1635C22×C4—682no—
1636C22×C4—682no—
1637C22×C4—682no—
1638C22×C4—682no—
1639C22×C4—682no—
1640C22×C4—682no—
1641C22×C4—682no—
1642C22×C4C23×D1711yescharacteristic
1643C22×C4C23×D1711yescharacteristic
1644C22×C4C23×D1711yescharacteristic
1645C22×C4C23×D1711yescharacteristic
1646C22×C4C23×D1711yescharacteristic
1647C22×C4C23×D1711yescharacteristic
1648C22×C4C23×D1711yescharacteristic
1649C22×C4C23×D1711yescharacteristic
1650C22×C4C23×D1711yescharacteristic
1651C22×C4C23×D1711yescharacteristic
1652C22×C4C23×D1714yes—
1653C22×C4C23×D1714yes—
1654C22×C4C23×D1714yes—
1655C22×C4C23×D1714yes—
1656C4⋊C4—174no—
1657C4⋊C4—174no—
1658C4⋊C4—174no—
1659C4⋊C4—174no—
1660C4⋊C4—174no—
1661C4⋊C4—174no—
1662C4⋊C4—174no—
1663C4⋊C4—174no—
1664C4⋊C4—174no—
1665C4⋊C4—174no—
1666C4⋊C4—174no—
1667C4⋊C4—174no—
1668C4⋊C4—174no—
1669C4⋊C4—174no—
1670C4⋊C4—174no—
1671C4⋊C4—174no—
1672C4⋊C4—174no—
1673C4⋊C4—174no—
1674C4⋊C4—174no—
1675C4⋊C4—174no—
1676C4⋊C4—174no—
1677C4⋊C4—174no—
1678C4⋊C4—174no—
1679C4⋊C4—174no—
1680C4⋊C4—174no—
1681C4⋊C4—174no—
1682C4⋊C4—174no—
1683C4⋊C4—174no—
1684C4⋊C4—174no—
1685C4⋊C4—174no—
1686C4⋊C4—174no—
1687C4⋊C4—174no—
1688C4⋊C4—174no—
1689C4⋊C4—174no—
1690C4⋊C4—174no—
1691C4⋊C4—174no—
1692C4⋊C4—174no—
1693C4⋊C4—174no—
1694C4⋊C4—174no—
1695C4⋊C4—174no—
1696C4⋊C4—174no—
1697C4⋊C4—174no—
1698C4⋊C4C23×D1714yes—
1699C4⋊C4C23×D1714yes—
1700C4⋊C4C23×D1714yes—
1701C4⋊C4C23×D1714yes—
1702C4⋊C4C23×D1714yes—
1703C4⋊C4C23×D1714yes—
1704C22⋊C4—174no—
1705C22⋊C4—174no—
1706C22⋊C4—174no—
1707C22⋊C4—174no—
1708C22⋊C4—174no—
1709C22⋊C4—174no—
1710C22⋊C4—174no—
1711C22⋊C4—174no—
1712C22⋊C4—174no—
1713C22⋊C4—174no—
1714C22⋊C4—174no—
1715C22⋊C4—174no—
1716C22⋊C4—174no—
1717C22⋊C4—174no—
1718C22⋊C4—174no—
1719C22⋊C4—174no—
1720C22⋊C4—174no—
1721C22⋊C4—174no—
1722C22⋊C4—174no—
1723C22⋊C4—174no—
1724C22⋊C4—174no—
1725C22⋊C4—174no—
1726C22⋊C4—174no—
1727C22⋊C4—174no—
1728C22⋊C4—174no—
1729C22⋊C4—174no—
1730C22⋊C4—174no—
1731C22⋊C4—174no—
1732C22⋊C4—174no—
1733C22⋊C4—174no—
1734C22⋊C4C23×D1714yes—
1735C22⋊C4C23×D1714yes—
1736C22⋊C4C23×D1714yes—
1737C22⋊C4C23×D1714yes—
1738C22⋊C4C23×D1714yes—
1739C22⋊C4C23×D1714yes—
1740C22⋊C4C23×D1714yes—
1741C22⋊C4C23×D1714yes—
1742C22⋊C4C23×D1714yes—
1743C22⋊C4C23×D1714yes—
1744C22⋊C4C23×D1714yes—
1745C22⋊C4C23×D1714yes—
1746C22⋊C4C23×D1714yes—
1747C22⋊C4C23×D1714yes—
1748C42—174no—
1749C42—174no—
1750C42—174no—
1751C42—174no—
1752C42—174no—
1753C42—174no—
1754C42—174no—
1755C42—174no—
1756C42—174no—
1757C42—174no—
1758C42C23×D1714yes—
1759C42C23×D1714yes—
1760C23—22no—
1761C23—22no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—28no—
1769C23—22no—
1770C23—22no—
1771C23—22no—
1772C23—22no—
1773C23—22no—
1774C23—22no—
1775C23—44no—
1776C23—44no—
1777C23—416no—
1778C23—172no—
1779C23—172no—
1780C23—342no—
1781C23—342no—
1782C23—342no—
1783C23—342no—
1784C23—342no—
1785C23—342no—
1786C23#1058769714yes—
1787C23C24×D1712yes—
1788C23C24×D1712yes—
1789C23C24×D1712yes—
1790C23C24×D1712yes—
1791C23C24×D1712yes—
1792C23C24×D1711yescharacteristic
1793Q8—44no—
1794Q8—348no—
1795Q8—348no—
1796Q8—348no—
1797Q8—684no—
1798Q8—684no—
1799Q8—684no—
1800Q8—684no—
1801Q8—684no—
1802Q8—684no—
1803D4—28no—
1804D4—28no—
1805D4—44no—
1806D4—44no—
1807D4—44no—
1808D4—44no—
1809D4—44no—
1810D4—348no—
1811D4—348no—
1812D4—348no—
1813D4—684no—
1814D4—684no—
1815D4—684no—
1816D4—684no—
1817D4—684no—
1818D4—684no—
1819D4—684no—
1820D4—684no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—44no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—174no—
1836C2×C4—172no—
1837C2×C4—172no—
1838C2×C4—172no—
1839C2×C4—172no—
1840C2×C4—172no—
1841C2×C4—172no—
1842C2×C4—172no—
1843C2×C4—172no—
1844C2×C4—172no—
1845C2×C4—172no—
1846C2×C4—172no—
1847C2×C4—172no—
1848C2×C4—172no—
1849C2×C4—172no—
1850C2×C4—348no—
1851C2×C4—348no—
1852C2×C4—348no—
1853C2×C4—348no—
1854C2×C4—348no—
1855C2×C4—342no—
1856C2×C4—342no—
1857C2×C4—342no—
1858C2×C4—342no—
1859C2×C4—342no—
1860C2×C4—342no—
1861C2×C4—342no—
1862C2×C4—342no—
1863C2×C4—342no—
1864C2×C4—342no—
1865C2×C4—342no—
1866C2×C4—342no—
1867C2×C4—342no—
1868C2×C4—684no—
1869C2×C4—684no—
1870C2×C4—684no—
1871C2×C4—684no—
1872C2×C4—684no—
1873C2×C4—684no—
1874C2×C4—684no—
1875C2×C4—684no—
1876C2×C4—684no—
1877C2×C4—684no—
1878C2×C4—684no—
1879C2×C4—684no—
1880C2×C4—684no—
1881C2×C4C24×D1712yes—
1882C2×C4C24×D1712yes—
1883C2×C4C24×D1712yes—
1884C2×C4C24×D1712yes—
1885C2×C4C24×D1712yes—
1886C2×C4C24×D1712yes—
1887C2×C4C24×D1712yes—
1888C2×C4C24×D1712yes—
1889C2×C4C24×D1712yes—
1890C2×C4C24×D1712yes—
1891C22—28no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
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—44no—
1910C22—44no—
1911C22—342no—
1912C22—342no—
1913C22—342no—
1914C22—342no—
1915C22—342no—
1916C22—342no—
1917C22—684no—
1918C22—684no—
1919C22H(5,𝔽2)×D1712yes—
1920C22C2×#1058769714yes—
1921C22C2×#1058769712yes—
1922C22#1176364412yes—
1923C22C25×D1711yescharacteristic
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—22no—
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—174no—
1935C4—342no—
1936C4—342no—
1937C4—342no—
1938C4—342no—
1939C4—342no—
1940C4—342no—
1941C4—342no—
1942C4—342no—
1943C4—342no—
1944C4—342no—
1945C4—342no—
1946C4—342no—
1947C4—342no—
1948C2—24no—
1949C2—42no—
1950C2—42no—
1951C2—42no—
1952C2—42no—
1953C2—682no—
1954C2—682no—
1955C2#1454306414yesdirect product factor
1956C2C2×H(5,𝔽2)×D1711yescharacteristic
1957C2C22×#1058769711yescharacteristic
1958C2C2×#1176364411yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#538C2
socleC23×C17C25
hypercenterC2×#538D17
hypocenterC17C2×#3541
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. #14543064C2direct (N × H)
2. C2×#11763561C2semidirect
3. C2×#11763559C2semidirect
4. C2×#11763556C2semidirect
5. C2×#11763554C2semidirect
6. C2×#11763526C2semidirect
7. C2×#11763518C2semidirect
8. C2×#11763516C2semidirect
9. C2×#11763513C2semidirect
10. C2×#11763508C2semidirect
11. C2×#11763505C2semidirect
12. C2×#11763502C2semidirect
13. C2×#11763496C2semidirect
14. C2×#11763472C2semidirect
15. C2×#11763467C2semidirect
16. C2×#11763465C2semidirect
17. C2×#11763459C2semidirect
18. C2×#11763427C2semidirect
19. C2×#11763426C2semidirect
20. C2×#11763423C2semidirect
21. C2×#11763416C2semidirect
22. C2×#11763403C2semidirect
23. C2×#11763400C2semidirect
24. C2×#11763397C2semidirect
25. C2×#11763394C2semidirect
26. C2×#11763394C2semidirect
27. C2×#11763386C2semidirect
28. C2×#11763379C2semidirect
29. C2×#11763315C2semidirect
30. C2×#11763315C2semidirect
31. C22×#10587564C2semidirect
32. C2×C17×#538C2semidirect
35. C22×#63254C22semidirect
37. C22×Q8×D17C22semidirect
39. #11763561C22semidirect
40. #11763559C22semidirect
41. #11763556C22semidirect
42. #11763554C22semidirect
43. #11763526C22semidirect
44. #11763518C22semidirect
45. #11763516C22semidirect
46. #11763513C22semidirect
47. #11763508C22semidirect
48. #11763505C22semidirect
49. #11763502C22semidirect
50. #11763496C22semidirect
51. #11763472C22semidirect
52. #11763467C22semidirect
53. #11763465C22semidirect
54. #11763459C22semidirect
55. #11763427C22semidirect
56. #11763426C22semidirect
57. #11763423C22semidirect
58. #11763416C22semidirect
59. #11763403C22semidirect
60. #11763400C22semidirect
61. #11763397C22semidirect
62. #11763394C22semidirect
63. #11763394C22semidirect
64. #11763386C22semidirect
65. #11763379C22semidirect
66. C2×#10587555C22semidirect
67. C2×#10587574C22semidirect
68. C2×#10587574C22semidirect
69. C2×#10587574C22semidirect
70. C2×#10587630C22semidirect
71. C2×#10587630C22semidirect
72. C2×#10587584C22semidirect
73. C2×#10587584C22semidirect
74. C2×#10587584C22semidirect
75. C2×#10587562C22semidirect
82. C2×#10587565C22semidirect
83. C2×#10587565C22semidirect
84. C2×#10587556C22semidirect
85. C2×#10587556C22semidirect
86. C2×#10587576C22semidirect
87. C2×#10587576C22semidirect
88. C2×#10587576C22semidirect
89. C2×#10587575C22semidirect
90. C2×#10587575C22semidirect
91. C2×#10587575C22semidirect
92. C2×#10587575C22semidirect
95. C2×#10587622C22semidirect
100. C2×#10587571C22semidirect
101. C2×#10587571C22semidirect
102. #11763315C22semidirect
103. #11763315C22semidirect
104. C2×#10587580C22semidirect
107. C2×#10587615C22semidirect
112. C2×#10587569C22semidirect
113. C2×#10587569C22semidirect
114. C2×#10587569C22semidirect
119. C2×#10587621C22semidirect
120. C2×#10587583C22semidirect
121. C2×#10587583C22semidirect
123. C2×#10587610C22semidirect
124. C2×#10587610C22semidirect
125. C2×#10587582C22semidirect
126. C2×#10587582C22semidirect
127. C2×#10587582C22semidirect
128. C2×#10587582C22semidirect
143. C2×#10587564C22semidirect
144. C2×#10587564C22semidirect
145. C2×#10587564C22semidirect
146. C2×#10587564C22semidirect
147. C2×#10587564C22semidirect
148. C2×#10587564C22semidirect
149. C2×#10587564C22semidirect
150. C2×#10587632C22semidirect
152. C2×#10587616C22semidirect
155. C2×#10587570C22semidirect
164. C2×#10587625C22semidirect
169. C2×C4×Dic34C22semidirect
170. C2×C4×Dic34C22semidirect
171. C2×#10587573C22semidirect
172. C2×#10587573C22semidirect
173. C2×#10587573C22semidirect
174. C2×C4×D68C22semidirect
183. C2×C4×C22⋊D17C22semidirect
190. C2×#10587567C22semidirect
191. C2×#10587612C22semidirect
192. C2×#10587558C22semidirect
195. C2×#10587563C22semidirect
197. C22×C4⋊Dic17C22semidirect
200. C22×#63225C22semidirect
201. C2×C4⋊C4×D17C22semidirect
203. C17×#538C22semidirect
257. C2×Q8×D17C23semidirect
263. C2×#63254C23semidirect
340. #10587632C23semidirect
341. #10587630C23semidirect
342. #10587630C23semidirect
351. #10587625C23semidirect
356. #10587622C23semidirect
361. #10587621C23semidirect
369. #10587616C23semidirect
370. #10587615C23semidirect
373. C4×C22⋊D17C23semidirect
386. #10587612C23semidirect
402. C2×C4⋊Dic17C23semidirect
404. #10587610C23semidirect
405. #10587610C23semidirect
436. C2×#63225C23semidirect
447. #10587584C23semidirect
448. #10587584C23semidirect
449. #10587584C23semidirect
450. #10587583C23semidirect
451. #10587583C23semidirect
452. #10587582C23semidirect
453. #10587582C23semidirect
454. #10587582C23semidirect
455. #10587582C23semidirect
456. #10587580C23semidirect
457. C4⋊C4×D17C23semidirect
458. #10587576C23semidirect
459. #10587576C23semidirect
460. #10587576C23semidirect
461. #10587575C23semidirect
462. #10587575C23semidirect
463. #10587575C23semidirect
464. #10587575C23semidirect
465. #10587574C23semidirect
466. #10587574C23semidirect
467. #10587574C23semidirect
468. #10587573C23semidirect
469. #10587573C23semidirect
470. #10587573C23semidirect
477. #10587571C23semidirect
478. #10587571C23semidirect
481. #10587570C23semidirect
486. #10587569C23semidirect
487. #10587569C23semidirect
488. #10587569C23semidirect
495. #10587567C23semidirect
502. #10587565C23semidirect
503. #10587565C23semidirect
518. #10587564C23semidirect
519. #10587564C23semidirect
520. #10587564C23semidirect
521. #10587564C23semidirect
522. #10587564C23semidirect
523. #10587564C23semidirect
526. #10587563C23semidirect
527. #10587562C23semidirect
528. C4×D68C23semidirect
529. #10587558C23semidirect
530. #10587556C23semidirect
531. #10587556C23semidirect
532. #10587555C23semidirect
533. C4×Dic34C23semidirect
534. C4×Dic34C23semidirect
938. C2×#538D17semidirect
1032. #538C2×D17semidirect
1192. C2×C17#3541semidirect
1514. C17C2×#3541semidirect
1955. C2#14543064direct (N × H)

Maximal subgroups

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

subgroupindex
#145430642
C2×#117635612
C2×#117635592
C2×#117635562
C2×#117635542
C2×#117635262
C2×#117635182
C2×#117635162
C2×#117635132
C2×#117635082
C2×#117635052
C2×#117635022
C2×#117634962
C2×#117634722
C2×#117634672
C2×#117634652
C2×#117634592
C2×#117634272
C2×#117634262
C2×#117634232
C2×#117634162
C2×#117634032
C2×#117634002
C2×#117633972
C2×#117633942
C2×#117633862
C2×#117633792
C2×#117633152
C22×#105875642
C2×C17×#5382
C2×#354117