Finite Group Databasebeta

← C2×#14542942 #17941581

Subgroups — C2×#14542942 #17941581

Order 4352.

7430 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542942C2132yesmaximal, direct product factor
2C2×#11763561C211yesmaximal, characteristic, complemented
3C2×#11763554C211yesmaximal, characteristic, complemented
4C2×#11763554C211yesmaximal, characteristic, complemented
5C2×#11763547C211yesmaximal, characteristic, complemented
6C2×#11763542C211yesmaximal, characteristic, complemented
7C2×#11763504C211yesmaximal, characteristic, complemented
8C2×#11763495C211yesmaximal, characteristic, complemented
9C2×#11763491C211yesmaximal, characteristic, complemented
10C2×#11763488C211yesmaximal, characteristic, complemented
11C2×#11763488C211yesmaximal, characteristic, complemented
12C2×#11763483C211yesmaximal, characteristic, complemented
13C2×#11763464C211yesmaximal, characteristic, complemented
14C2×#11763460C211yesmaximal, characteristic, complemented
15C2×#11763456C211yesmaximal, characteristic, complemented
16C2×#11763451C211yesmaximal, characteristic, complemented
17C2×#11763430C211yesmaximal, characteristic, complemented
18C2×#11763427C211yesmaximal, characteristic, complemented
19C2×#11763410C211yesmaximal, characteristic, complemented
20C2×#11763409C211yesmaximal, characteristic, complemented
21C2×#11763407C211yesmaximal, characteristic, complemented
22C2×#11763406C211yesmaximal, characteristic, complemented
23C2×#11763398C211yesmaximal, characteristic, complemented
24C2×#11763398C211yesmaximal, characteristic, complemented
25C2×#11763392C211yesmaximal, characteristic, complemented
26C2×#11763391C211yesmaximal, characteristic, complemented
27C2×#11763375C211yesmaximal, characteristic, complemented
28C2×#11763367C211yesmaximal, characteristic, complemented
29C2×#11763318C211yesmaximal, characteristic, complemented
30C2×#11763318C211yesmaximal, characteristic, complemented
31C2×#123×D17C211yesmaximal, characteristic, complemented
32C2×C17×#553C211yesmaximal, characteristic, complemented
33C22×#63252C2211yescharacteristic
34C22×#63252C2211yescharacteristic
35C22×#63252C2211yescharacteristic, complemented
36C22×D4×D17C2211yescharacteristic
37C22×D4×D17C2211yescharacteristic
38C23×C4×D17C2211yescharacteristic, complemented
39#11763561C22116yescomplemented
40#11763554C22116yescomplemented
41#11763554C22116yescomplemented
42#11763547C22116yescomplemented
43#11763542C22116yescomplemented
44#11763504C22116yescomplemented
45#11763495C22116yescomplemented
46#11763491C22116yescomplemented
47#11763488C22116yescomplemented
48#11763488C22116yescomplemented
49#11763483C22116yescomplemented
50#11763464C22116yescomplemented
51#11763460C22116yescomplemented
52#11763456C22116yescomplemented
53#11763451C22116yescomplemented
54#11763430C22116yescomplemented
55#11763427C22116yescomplemented
56#11763410C22116yescomplemented
57#11763409C22116yescomplemented
58#11763407C22116yescomplemented
59#11763406C22116yescomplemented
60#11763398C22116yescomplemented
61#11763398C22116yescomplemented
62#11763392C22116yescomplemented
63#11763391C22116yescomplemented
64#11763375C22116yescomplemented
65#11763367C22116yescomplemented
66C2×#10587555C2211yescharacteristic, complemented
67C2×#10587574C2211yescharacteristic, complemented
68C2×#10587626C2211yescharacteristic
69C2×#10587626C2211yescharacteristic, complemented
70C2×#10587584C2211yescharacteristic, complemented
71C2×#10587584C2211yescharacteristic, complemented
72C2×#10587584C2211yescharacteristic, complemented
73C2×#10587584C2211yescharacteristic, complemented
74C2×#10587584C2211yescharacteristic, complemented
75C2×#10587584C2211yescharacteristic, complemented
76C2×#10587562C2211yescharacteristic, complemented
77C2×#10587562C2211yescharacteristic, complemented
78C2×#10587565C2211yescharacteristic, complemented
79C2×#10587565C2211yescharacteristic, complemented
80C2×#10587576C2211yescharacteristic, complemented
81C2×#10587575C2211yescharacteristic, complemented
82C2×#10587575C2211yescharacteristic, complemented
83C2×#10587575C2211yescharacteristic, complemented
84C2×#10587575C2211yescharacteristic, complemented
85C2×#10587561C2211yescharacteristic, complemented
86C2×#10587561C2211yescharacteristic, complemented
87C2×#10587622C2211yescharacteristic, complemented
88C2×#10587622C2211yescharacteristic, complemented
89C2×#10587571C2211yescharacteristic
90C2×#10587571C2211yescharacteristic, complemented
91C2×#10587571C2211yescharacteristic, complemented
92C2×#10587571C2211yescharacteristic, complemented
93C2×#10587571C2211yescharacteristic, complemented
94C2×#10587571C2211yescharacteristic, complemented
95#11763318C22116yescomplemented
96#11763318C22116yescomplemented
97C2×#10587580C2211yescharacteristic
98C2×#10587580C2211yescharacteristic
99C2×#10587580C2211yescharacteristic
100C2×#10587580C2211yescharacteristic
101C2×#10587580C2211yescharacteristic
102C2×#10587580C2211yescharacteristic, complemented
103C2×#10587580C2211yescharacteristic, complemented
104C2×#10587580C2211yescharacteristic, complemented
105C2×#10587572C2211yescharacteristic
106C2×#10587615C2211yescharacteristic
107C2×#10587615C2211yescharacteristic, complemented
108C2×#10587615C2211yescharacteristic, complemented
109C2×#10587615C2211yescharacteristic, complemented
110C2×#10587615C2211yescharacteristic, complemented
111C2×#10587615C2211yescharacteristic, complemented
112C2×#10587569C2211yescharacteristic
113C2×#10587569C2211yescharacteristic
114C2×#10587569C2211yescharacteristic
115C2×#10587569C2211yescharacteristic, complemented
116C2×#10587569C2211yescharacteristic, complemented
117C2×#10587569C2211yescharacteristic, complemented
118C2×#10587569C2211yescharacteristic, complemented
119C2×#10587569C2211yescharacteristic, complemented
120C2×#10587569C2211yescharacteristic, complemented
121C2×#10587569C2211yescharacteristic, complemented
122C2×#10587621C2211yescharacteristic, complemented
123C2×#10587621C2211yescharacteristic, complemented
124C2×#10587621C2211yescharacteristic, complemented
125#123×D17C22116yescomplemented
126C2×#10587583C2211yescharacteristic, complemented
127C2×#10587610C2211yescharacteristic, complemented
128C2×#10587610C2211yescharacteristic, complemented
129C2×#10587610C2211yescharacteristic, complemented
130C2×#10587582C2211yescharacteristic, complemented
131C2×#10587582C2211yescharacteristic, complemented
132C2×#10587582C2211yescharacteristic, complemented
133C2×#10587582C2211yescharacteristic, complemented
134C2×#10587582C2211yescharacteristic, complemented
135C2×#10587582C2211yescharacteristic, complemented
136C2×#10587582C2211yescharacteristic, complemented
137C2×#10587582C2211yescharacteristic, complemented
138C2×#10587564C2211yescharacteristic, complemented
139C2×#10587564C2211yescharacteristic, complemented
140C2×#10587564C2211yescharacteristic, complemented
141C2×#10587564C2211yescharacteristic, complemented
142C2×#10587581C2211yescharacteristic
143C2×#10587581C2211yescharacteristic
144C2×#10587581C2211yescharacteristic, complemented
145C2×#10587616C2211yescharacteristic
146C2×#10587616C2211yescharacteristic
147C2×#10587616C2211yescharacteristic, complemented
148C2×#10587570C2211yescharacteristic, complemented
149C2×#10587570C2211yescharacteristic, complemented
150C2×#10587570C2211yescharacteristic, complemented
151C2×#10587570C2211yescharacteristic, complemented
152C2×#10587625C2211yescharacteristic
153C2×#10587625C2211yescharacteristic
154C2×#10587625C2211yescharacteristic, complemented
155C2×#10587625C2211yescharacteristic, complemented
156C2×#10587625C2211yescharacteristic, complemented
157C2×#10587625C2211yescharacteristic, complemented
158C2×#10587624C2211yescharacteristic
159C2×#10587624C2211yescharacteristic, complemented
160C2×#10587624C2211yescharacteristic, complemented
161C2×#10587624C2211yescharacteristic, complemented
162C2×#10587568C2211yescharacteristic
163C2×#10587568C2211yescharacteristic
164C2×#10587568C2211yescharacteristic
165C2×#10587568C2211yescharacteristic, complemented
166C2×#10587568C2211yescharacteristic, complemented
167C2×#10587623C2211yescharacteristic
168C2×#10587623C2211yescharacteristic
169C2×#10587623C2211yescharacteristic
170C2×#10587623C2211yescharacteristic, complemented
171C2×#10587623C2211yescharacteristic, complemented
172C2×C4×Dic34C2211yescharacteristic, complemented
173C2×#10587573C2211yescharacteristic, complemented
174C2×C4×D68C2211yescharacteristic, complemented
175C2×C4×D68C2211yescharacteristic, complemented
176C2×C4×D68C2211yescharacteristic, complemented
177C2×#10587579C2211yescharacteristic
178C2×#10587579C2211yescharacteristic, complemented
179C2×#10587579C2211yescharacteristic, complemented
180C2×C4×C22⋊D17C2211yescharacteristic, complemented
181C2×C4×C22⋊D17C2211yescharacteristic, complemented
182C2×C4×C22⋊D17C2211yescharacteristic, complemented
183C2×C4×C22⋊D17C2211yescharacteristic, complemented
184C2×C4×C22⋊D17C2211yescharacteristic, complemented
185C2×C4×C22⋊D17C2211yescharacteristic, complemented
186C2×#10587567C2211yescharacteristic
187C2×#10587567C2211yescharacteristic, complemented
188C2×#10587578C2211yescharacteristic, complemented
189C2×#10587558C2211yescharacteristic, complemented
190C2×#10587558C2211yescharacteristic, complemented
191C2×#10587558C2211yescharacteristic, complemented
192C2×#10587563C2211yescharacteristic, complemented
193C2×#10587563C2211yescharacteristic, complemented
194C2×C4⋊C4×D17C2211yescharacteristic, complemented
195C2×C4⋊C4×D17C2211yescharacteristic, complemented
196C2×C4⋊C4×D17C2211yescharacteristic, complemented
197C22×#63227C2211yescharacteristic
198C22×#63227C2211yescharacteristic, complemented
199C2×C22⋊C4×D17C2211yescharacteristic
200C2×C22⋊C4×D17C2211yescharacteristic
201C2×C22⋊C4×D17C2211yescharacteristic, complemented
202C2×C22⋊C4×D17C2211yescharacteristic, complemented
203C17×#553C22116yescomplemented
204C2×C17×#126C2211yescharacteristic, complemented
205C2×C17×#126C2211yescharacteristic, complemented
206C2×C17×#125C2211yescharacteristic, complemented
207C2×C17×#123C2211yescharacteristic, complemented
208C2×C17×#123C2211yescharacteristic, complemented
209C2×C17×#121C2211yescharacteristic
210C2×C17×#121C2211yescharacteristic, complemented
211C2×C17×#121C2211yescharacteristic, complemented
212C2×C17×#121C2211yescharacteristic, complemented
213C2×C4×D4×C17C2211yescharacteristic, complemented
214C2×C4×D4×C17C2211yescharacteristic, complemented
215C2×C4×D4×C17C2211yescharacteristic, complemented
216C2×C4×D4×C17C2211yescharacteristic, complemented
217C2×C17×#117C2211yescharacteristic, complemented
218C22×C4⋊C4×C17C2211yescharacteristic, complemented
219C24×D17C2311yescharacteristic
220C24×D17C2311yescharacteristic
221C24×D17C2311yescharacteristic
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
232C23×C4×C17C2311yescharacteristic
233C23×C4×C17C2311yescharacteristic
234C22×C22⋊D17C2311yescharacteristic
235C22×C22⋊D17C2311yescharacteristic
236C22×C22⋊D17C2311yescharacteristic
237C22×C22⋊D17C2311yescharacteristic
238C22×C22⋊D17C2311yescharacteristic
239C22×C22⋊D17C2311yescharacteristic
240C22×C22⋊D17C2311yescharacteristic
241C22×C22⋊D17C2311yescharacteristic
242C22×C22⋊D17C2311yescharacteristic
243C22×C22⋊D17C2311yescharacteristic
244C22×C22⋊D17C2311yescharacteristic
245C22×C22⋊D17C2311yescharacteristic
246C22×C22⋊D17C2311yescharacteristic
247C22×C22⋊D17C2311yescharacteristic
248C23×Dic17C2311yescharacteristic
249C23×Dic17C2311yescharacteristic
250C23×Dic17C2311yescharacteristic
251C2×D4×D17—44no—
252C2×D4×D17—44no—
253C2×D4×D17C2318yes—
254C2×D4×D17C2318yes—
255C2×#63252—44no—
256C2×#63252—44no—
257C2×#63252—44no—
258C2×#63252C2318yes—
259C2×#63252C2318yes—
260C2×#63252C2318yescomplemented
261C22×D68C2311yescharacteristic
262C22×D68C2311yescharacteristic
263C22×D68C2311yescharacteristic
264C22×D68C2311yescharacteristic
265C22×D68C2311yescharacteristic
266C22×D68C2311yescharacteristic
267C22×D68C2311yescharacteristic
268C22×C4×D17—44no—
269C22×C4×D17C2311yescharacteristic
270C22×C4×D17C2311yescharacteristic
271C22×C4×D17C2311yescharacteristic
272C22×C4×D17C2311yescharacteristic
273C22×C4×D17C2311yescharacteristic
274C22×C4×D17C2311yescharacteristic
275C22×C4×D17C2311yescharacteristic
276C22×C4×D17C2311yescharacteristic
277C22×C4×D17C2311yescharacteristic
278C22×C4×D17C2311yescharacteristic
279C22×C4×D17C2311yescharacteristic
280C22×C4×D17C2311yescharacteristic
281C22×C4×D17C2311yescharacteristic
282C22×C4×D17C2318yescomplemented
283C22×Dic34C2311yescharacteristic
284C22×Dic34C2311yescharacteristic
285C22×Dic34C2311yescharacteristic
286C22×Dic34C2311yescharacteristic
287C22×Dic34C2311yescharacteristic
288C17×#126C2318yescomplemented
289C17×#126C2318yescomplemented
290C17×#125C2318yescomplemented
291C17×#123C2318yescomplemented
292C17×#123C2318yescomplemented
293C17×#121C2318yes—
294C17×#121C2318yescomplemented
295C17×#121C2318yescomplemented
296C17×#121C2318yescomplemented
297C4×D4×C17C2318yescomplemented
298C4×D4×C17C2318yescomplemented
299C4×D4×C17C2318yescomplemented
300C4×D4×C17C2318yescomplemented
301C17×#117C2318yescomplemented
302C2×C4⋊C4×C17C2311yescharacteristic
303C2×C4⋊C4×C17C2311yescharacteristic
304C2×C4⋊C4×C17C2311yescharacteristic
305C2×C4⋊C4×C17C2311yescharacteristic
306C2×C4⋊C4×C17C2311yescharacteristic
307C2×C4⋊C4×C17C2311yescharacteristic
308C2×C4⋊C4×C17C2311yescharacteristic
309C2×C4⋊C4×C17C2311yescharacteristic
310C2×C4⋊C4×C17C2311yescharacteristic
311C2×C4⋊C4×C17C2311yescharacteristic
312C2×C4⋊C4×C17C2318yescomplemented
313C2×C22⋊C4×C17C2311yescharacteristic
314C2×C22⋊C4×C17C2311yescharacteristic
315C2×C22⋊C4×C17C2311yescharacteristic
316C2×C22⋊C4×C17C2311yescharacteristic
317C2×C22⋊C4×C17C2311yescharacteristic
318C2×C22⋊C4×C17C2311yescharacteristic
319C2×C22⋊C4×C17C2311yescharacteristic
320C2×C22⋊C4×C17C2311yescharacteristic
321C2×C22⋊C4×C17C2311yescharacteristic
322C2×C22⋊C4×C17C2311yescharacteristic
323C2×C42×C17C2311yescharacteristic
324C2×C42×C17C2311yescharacteristic
325C2×C42×C17C2311yescharacteristic
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
338#10587626C2318yes—
339#10587626C2318yescomplemented
340#10587625C2318yes—
341#10587625C2318yes—
342#10587625C2318yescomplemented
343#10587625C2318yescomplemented
344#10587625C2318yescomplemented
345#10587625C2318yescomplemented
346#10587624C2318yes—
347#10587624C2318yescomplemented
348#10587624C2318yescomplemented
349#10587624C2318yescomplemented
350#10587623C2318yes—
351#10587623C2318yes—
352#10587623C2318yes—
353#10587623C2318yescomplemented
354#10587623C2318yescomplemented
355#10587622C2318yescomplemented
356#10587622C2318yescomplemented
357#10587621C2318yescomplemented
358#10587621C2318yescomplemented
359#10587621C2318yescomplemented
360#10587616C2318yes—
361#10587616C2318yes—
362#10587616C2318yescomplemented
363#10587615C2318yes—
364#10587615C2318yescomplemented
365#10587615C2318yescomplemented
366#10587615C2318yescomplemented
367#10587615C2318yescomplemented
368#10587615C2318yescomplemented
369C4×C22⋊D17C2318yescomplemented
370C4×C22⋊D17C2318yescomplemented
371C4×C22⋊D17C2318yescomplemented
372C4×C22⋊D17C2318yescomplemented
373C4×C22⋊D17C2318yescomplemented
374C4×C22⋊D17C2318yescomplemented
375C2×#63227C2318yes—
376C2×#63227C2311yescharacteristic
377C2×#63227C2311yescharacteristic
378C2×#63227C2311yescharacteristic
379C2×#63227C2311yescharacteristic
380C2×#63227C2311yescharacteristic
381C2×#63227C2311yescharacteristic
382C2×#63227C2311yescharacteristic
383C2×#63227C2311yescharacteristic
384C2×#63227C2311yescharacteristic
385C2×#63227C2311yescharacteristic
386C2×#63227C2311yescharacteristic
387C2×#63227C2311yescharacteristic
388C2×#63227C2311yescharacteristic
389C2×#63227C2311yescharacteristic
390C2×#63227C2311yescharacteristic
391C2×#63227C2311yescharacteristic
392C2×#63227C2311yescharacteristic
393C2×#63227C2311yescharacteristic
394C2×#63227C2311yescharacteristic
395C2×#63227C2311yescharacteristic
396C2×#63227C2311yescharacteristic
397C2×#63227C2311yescharacteristic
398C2×#63227C2311yescharacteristic
399C2×#63227C2311yescharacteristic
400C2×#63227C2311yescharacteristic
401C2×#63227C2311yescharacteristic
402C2×#63227C2311yescharacteristic
403C2×#63227C2311yescharacteristic
404C2×#63227C2318yescomplemented
405C2×C4⋊Dic17C2311yescharacteristic
406C2×C4⋊Dic17C2311yescharacteristic
407C2×C4⋊Dic17C2311yescharacteristic
408C2×C4⋊Dic17C2311yescharacteristic
409C2×C4⋊Dic17C2311yescharacteristic
410C2×C4⋊Dic17C2311yescharacteristic
411C2×C4⋊Dic17C2311yescharacteristic
412C2×C4⋊Dic17C2311yescharacteristic
413#10587610C2318yescomplemented
414#10587610C2318yescomplemented
415#10587610C2318yescomplemented
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×C4×Dic17C2311yescharacteristic
437C2×C4×Dic17C2311yescharacteristic
438C2×C4×Dic17C2311yescharacteristic
439C2×C4×Dic17C2311yescharacteristic
440C2×C4×Dic17C2311yescharacteristic
441C2×C4×Dic17C2311yescharacteristic
442C2×C4×Dic17C2311yescharacteristic
443#10587584C2318yescomplemented
444#10587584C2318yescomplemented
445#10587584C2318yescomplemented
446#10587584C2318yescomplemented
447#10587584C2318yescomplemented
448#10587584C2318yescomplemented
449#10587583C2318yescomplemented
450#10587582C2318yescomplemented
451#10587582C2318yescomplemented
452#10587582C2318yescomplemented
453#10587582C2318yescomplemented
454#10587582C2318yescomplemented
455#10587582C2318yescomplemented
456#10587582C2318yescomplemented
457#10587582C2318yescomplemented
458#10587581C2318yes—
459#10587581C2318yes—
460#10587581C2318yescomplemented
461#10587580C2318yes—
462#10587580C2318yes—
463#10587580C2318yes—
464#10587580C2318yes—
465#10587580C2318yes—
466#10587580C2318yescomplemented
467#10587580C2318yescomplemented
468#10587580C2318yescomplemented
469#10587579C2318yes—
470#10587579C2318yescomplemented
471#10587579C2318yescomplemented
472#10587578C2318yescomplemented
473C4⋊C4×D17C2318yescomplemented
474C4⋊C4×D17C2318yescomplemented
475C4⋊C4×D17C2318yescomplemented
476#10587576C2318yescomplemented
477#10587575C2318yescomplemented
478#10587575C2318yescomplemented
479#10587575C2318yescomplemented
480#10587575C2318yescomplemented
481#10587574C2318yescomplemented
482#10587573C2318yescomplemented
483#10587572C2318yes—
484#10587571C2318yes—
485#10587571C2318yescomplemented
486#10587571C2318yescomplemented
487#10587571C2318yescomplemented
488#10587571C2318yescomplemented
489#10587571C2318yescomplemented
490#10587570C2318yescomplemented
491#10587570C2318yescomplemented
492#10587570C2318yescomplemented
493#10587570C2318yescomplemented
494#10587569C2318yes—
495#10587569C2318yes—
496#10587569C2318yes—
497#10587569C2318yescomplemented
498#10587569C2318yescomplemented
499#10587569C2318yescomplemented
500#10587569C2318yescomplemented
501#10587569C2318yescomplemented
502#10587569C2318yescomplemented
503#10587569C2318yescomplemented
504#10587568C2318yes—
505#10587568C2318yes—
506#10587568C2318yes—
507#10587568C2318yescomplemented
508#10587568C2318yescomplemented
509#10587567C2318yes—
510#10587567C2318yescomplemented
511C22⋊C4×D17C2318yes—
512C22⋊C4×D17C2318yes—
513C22⋊C4×D17C2318yescomplemented
514C22⋊C4×D17C2318yescomplemented
515#10587565C2318yescomplemented
516#10587565C2318yescomplemented
517#10587564C2318yescomplemented
518#10587564C2318yescomplemented
519#10587564C2318yescomplemented
520#10587564C2318yescomplemented
521#10587563C2318yescomplemented
522#10587563C2318yescomplemented
523#10587562C2318yescomplemented
524#10587562C2318yescomplemented
525#10587561C2318yescomplemented
526#10587561C2318yescomplemented
527C4×D68C2318yescomplemented
528C4×D68C2318yescomplemented
529C4×D68C2318yescomplemented
530#10587558C2318yescomplemented
531#10587558C2318yescomplemented
532#10587558C2318yescomplemented
533#10587555C2318yescomplemented
534C4×Dic34C2318yescomplemented
535C24×C17C2411yescharacteristic
536C24×C17C2411yescharacteristic
537C24×C17C2411yescharacteristic
538C24×C17C2411yescharacteristic
539C23×D17—24no—
540C23×D17—24no—
541C23×D17—42no—
542C23×D17—42no—
543C23×D17—42no—
544C23×D17—42no—
545C23×D17—42no—
546C23×D17—42no—
547C23×D17—42no—
548C23×D17C2411yescharacteristic
549C23×D17C2411yescharacteristic
550C23×D17C2411yescharacteristic
551C23×D17C2411yescharacteristic
552C23×D17C2411yescharacteristic
553C23×D17C2414yes—
554C23×D17C2414yes—
555C23×D17C2414yes—
556C2×D4×C17—42no—
557C2×D4×C17—42no—
558C2×D4×C17—42no—
559C2×D4×C17—42no—
560C2×D4×C17—42no—
561C2×D4×C17—42no—
562C2×D4×C17C2414yes—
563C2×D4×C17C2414yes—
564C2×D4×C17C2414yes—
565C2×D4×C17C2414yes—
566C2×D4×C17C2414yes—
567C2×D4×C17C2414yes—
568C22×C4×C17—42no—
569C22×C4×C17—42no—
570C22×C4×C17—42no—
571C22×C4×C17—42no—
572C22×C4×C17—42no—
573C22×C4×C17—42no—
574C22×C4×C17C2411yescharacteristic
575C22×C4×C17C2411yescharacteristic
576C22×C4×C17C2411yescharacteristic
577C22×C4×C17C2411yescharacteristic
578C22×C4×C17C2411yescharacteristic
579C22×C4×C17C2411yescharacteristic
580C22×C4×C17C2411yescharacteristic
581C22×C4×C17C2411yescharacteristic
582C22×C4×C17C2411yescharacteristic
583C22×C4×C17C2411yescharacteristic
584C22×C4×C17C2411yescharacteristic
585C22×C4×C17C2414yes—
586C22×C4×C17C2414yes—
587C22×C4×C17C2414yes—
588C22×C4×C17C2414yes—
589C22×C4×C17C2414yes—
590C22×C4×C17C2414yes—
591C2×C22⋊D17—24no—
592C2×C22⋊D17—24no—
593C2×C22⋊D17—42no—
594C2×C22⋊D17—42no—
595C2×C22⋊D17—42no—
596C2×C22⋊D17—42no—
597C2×C22⋊D17—42no—
598C2×C22⋊D17—42no—
599C2×C22⋊D17—42no—
600C2×C22⋊D17—42no—
601C2×C22⋊D17—42no—
602C2×C22⋊D17—42no—
603C2×C22⋊D17—42no—
604C2×C22⋊D17—42no—
605C2×C22⋊D17C2414yes—
606C2×C22⋊D17C2414yes—
607C2×C22⋊D17C2414yes—
608C2×C22⋊D17C2414yes—
609C2×C22⋊D17C2414yes—
610C2×C22⋊D17C2414yes—
611C2×C22⋊D17C2414yes—
612C2×C22⋊D17C2414yes—
613C2×C22⋊D17C2414yes—
614C2×C22⋊D17C2414yes—
615C2×C22⋊D17C2414yes—
616C2×C22⋊D17C2414yes—
617C2×C22⋊D17C2414yes—
618C2×C22⋊D17C2414yes—
619C22×Dic17—42no—
620C22×Dic17—42no—
621C22×Dic17—42no—
622C22×Dic17C2411yescharacteristic
623C22×Dic17C2411yescharacteristic
624C22×Dic17C2411yescharacteristic
625C22×Dic17C2411yescharacteristic
626C22×Dic17C2411yescharacteristic
627C22×Dic17C2411yescharacteristic
628C22×Dic17C2411yescharacteristic
629C22×Dic17C2411yescharacteristic
630C22×Dic17C2411yescharacteristic
631C22×Dic17C2411yescharacteristic
632C22×Dic17C2411yescharacteristic
633C22×Dic17C2414yes—
634C22×Dic17C2414yes—
635C22×Dic17C2414yes—
636D4×D17—416no—
637D4×D17—416no—
638#63252—416no—
639#63252—416no—
640#63252—416no—
641C2×D68—24no—
642C2×D68—24no—
643C2×D68—42no—
644C2×D68—42no—
645C2×D68—42no—
646C2×D68—42no—
647C2×D68—42no—
648C2×D68C2414yes—
649C2×D68C2414yes—
650C2×D68C2414yes—
651C2×D68C2414yes—
652C2×D68C2414yes—
653C2×D68C2414yes—
654C2×D68C2414yes—
655C2×C4×D17—24no—
656C2×C4×D17—24no—
657C2×C4×D17—24no—
658C2×C4×D17—416no—
659C2×C4×D17—42no—
660C2×C4×D17—42no—
661C2×C4×D17—42no—
662C2×C4×D17—42no—
663C2×C4×D17—42no—
664C2×C4×D17—42no—
665C2×C4×D17—42no—
666C2×C4×D17—42no—
667C2×C4×D17—42no—
668C2×C4×D17—42no—
669C2×C4×D17C2414yes—
670C2×C4×D17C2414yes—
671C2×C4×D17C2414yes—
672C2×C4×D17C2414yes—
673C2×C4×D17C2414yes—
674C2×C4×D17C2414yes—
675C2×C4×D17C2414yes—
676C2×C4×D17C2414yes—
677C2×C4×D17C2414yes—
678C2×C4×D17C2414yes—
679C2×C4×D17C2414yes—
680C2×C4×D17C2414yes—
681C2×C4×D17C2414yes—
682C2×Dic34—42no—
683C2×Dic34—42no—
684C2×Dic34—42no—
685C2×Dic34—42no—
686C2×Dic34—42no—
687C2×Dic34C2414yes—
688C2×Dic34C2414yes—
689C2×Dic34C2414yes—
690C2×Dic34C2414yes—
691C2×Dic34C2414yes—
692C4⋊C4×C17C2414yes—
693C4⋊C4×C17C2414yes—
694C4⋊C4×C17C2414yes—
695C4⋊C4×C17C2414yes—
696C4⋊C4×C17C2414yes—
697C4⋊C4×C17C2414yes—
698C4⋊C4×C17C2414yes—
699C4⋊C4×C17C2414yes—
700C4⋊C4×C17C2414yes—
701C4⋊C4×C17C2414yes—
702C22⋊C4×C17C2414yes—
703C22⋊C4×C17C2414yes—
704C22⋊C4×C17C2414yes—
705C22⋊C4×C17C2414yes—
706C22⋊C4×C17C2414yes—
707C22⋊C4×C17C2414yes—
708C22⋊C4×C17C2414yes—
709C22⋊C4×C17C2414yes—
710C22⋊C4×C17C2414yes—
711C22⋊C4×C17C2414yes—
712C42×C17C2414yes—
713C42×C17C2414yes—
714C42×C17C2414yes—
715C22⋊Dic17C2414yes—
716C22⋊Dic17C2414yes—
717C22⋊Dic17C2414yes—
718C22⋊Dic17C2414yes—
719C22⋊Dic17C2414yes—
720C22⋊Dic17C2414yes—
721C22⋊Dic17C2414yes—
722C22⋊Dic17C2414yes—
723C22⋊Dic17C2414yes—
724C22⋊Dic17C2414yes—
725C22⋊Dic17C2414yes—
726C22⋊Dic17C2414yes—
727#63227C2414yes—
728#63227C2414yes—
729#63227C2414yes—
730#63227C2414yes—
731#63227C2414yes—
732#63227C2414yes—
733#63227C2414yes—
734#63227C2414yes—
735#63227C2414yes—
736#63227C2414yes—
737#63227C2414yes—
738#63227C2414yes—
739#63227C2414yes—
740#63227C2414yes—
741#63227C2414yes—
742#63227C2414yes—
743#63227C2414yes—
744#63227C2414yes—
745#63227C2414yes—
746#63227C2414yes—
747#63227C2414yes—
748#63227C2414yes—
749#63227C2414yes—
750#63227C2414yes—
751#63227C2414yes—
752#63227C2414yes—
753#63227C2414yes—
754#63227C2414yes—
755C4⋊Dic17C2414yes—
756C4⋊Dic17C2414yes—
757C4⋊Dic17C2414yes—
758C4⋊Dic17C2414yes—
759C4⋊Dic17C2414yes—
760C4⋊Dic17C2414yes—
761C4⋊Dic17C2414yes—
762C4⋊Dic17C2414yes—
763#63225C2414yes—
764#63225C2414yes—
765#63225C2414yes—
766#63225C2414yes—
767#63225C2414yes—
768#63225C2414yes—
769#63225C2414yes—
770#63225C2414yes—
771#63225C2414yes—
772#63225C2414yes—
773#63225C2414yes—
774#63225C2414yes—
775#63225C2414yes—
776#63225C2414yes—
777#63225C2414yes—
778#63225C2414yes—
779#63225C2414yes—
780#63225C2414yes—
781#63225C2414yes—
782#63225C2414yes—
783C4×Dic17C2414yes—
784C4×Dic17C2414yes—
785C4×Dic17C2414yes—
786C4×Dic17C2414yes—
787C4×Dic17C2414yes—
788C4×Dic17C2414yes—
789C4×Dic17C2414yes—
790C2×#3533—171nomaximal, Sylow
791C23×C17—22no—
792C23×C17—22no—
793C23×C17—22no—
794C23×C17—22no—
795C23×C17—22no—
796C23×C17—22no—
797C23×C17—22no—
798C23×C17—22no—
799C23×C17—22no—
800C23×C17—22no—
801C23×C17—22no—
802C23×C17—22no—
803C23×C17C2512yes—
804C23×C17C2512yes—
805C23×C17C2512yes—
806C23×C17C2512yes—
807C23×C17C2511yescharacteristic
808C22×D17—22no—
809C22×D17—22no—
810C22×D17—22no—
811C22×D17—22no—
812C22×D17—22no—
813C22×D17—22no—
814C22×D17—22no—
815C22×D17—22no—
816C22×D17—22no—
817C22×D17—22no—
818C22×D17—22no—
819C22×D17—22no—
820C22×D17—22no—
821C22×D17—22no—
822C22×D17—28no—
823C22×D17—28no—
824C22×D17—44no—
825C22×D17—44no—
826C22×D17—44no—
827C22×D17—44no—
828C22×D17—44no—
829C22×D17—44no—
830C22×D17—44no—
831C22×D17—416no—
832C22×D17—88no—
833C22×D17—88no—
834C22×D17H(5,𝔽2)14yes—
835C22×D17C2512yes—
836C22×D17C2512yes—
837C22×D17C2512yes—
838C22×D17C2512yes—
839C22×D17C2512yes—
840D4×C17—44no—
841D4×C17—44no—
842D4×C17—44no—
843D4×C17—44no—
844D4×C17—44no—
845D4×C17—44no—
846C2×C4×C17—22no—
847C2×C4×C17—22no—
848C2×C4×C17—22no—
849C2×C4×C17—22no—
850C2×C4×C17—22no—
851C2×C4×C17—22no—
852C2×C4×C17—22no—
853C2×C4×C17—22no—
854C2×C4×C17—22no—
855C2×C4×C17—22no—
856C2×C4×C17—22no—
857C2×C4×C17—44no—
858C2×C4×C17—44no—
859C2×C4×C17—44no—
860C2×C4×C17—44no—
861C2×C4×C17—44no—
862C2×C4×C17—44no—
863C2×C4×C17C2512yes—
864C2×C4×C17C2512yes—
865C2×C4×C17C2512yes—
866C2×C4×C17C2512yes—
867C2×C4×C17C2512yes—
868C2×C4×C17C2512yes—
869C2×C4×C17C2512yes—
870C2×C4×C17C2512yes—
871C2×C4×C17C2512yes—
872C2×C4×C17C2512yes—
873C2×C4×C17C2512yes—
874C22⋊D17—28no—
875C22⋊D17—28no—
876C22⋊D17—44no—
877C22⋊D17—44no—
878C22⋊D17—44no—
879C22⋊D17—44no—
880C22⋊D17—44no—
881C22⋊D17—44no—
882C22⋊D17—44no—
883C22⋊D17—44no—
884C22⋊D17—44no—
885C22⋊D17—44no—
886C22⋊D17—44no—
887C22⋊D17—44no—
888C2×Dic17—22no—
889C2×Dic17—22no—
890C2×Dic17—22no—
891C2×Dic17—22no—
892C2×Dic17—22no—
893C2×Dic17—22no—
894C2×Dic17—22no—
895C2×Dic17—22no—
896C2×Dic17—22no—
897C2×Dic17—22no—
898C2×Dic17—22no—
899C2×Dic17—44no—
900C2×Dic17—44no—
901C2×Dic17—44no—
902C2×Dic17C2512yes—
903C2×Dic17C2512yes—
904C2×Dic17C2512yes—
905C2×Dic17C2512yes—
906C2×Dic17C2512yes—
907C2×Dic17C2512yes—
908C2×Dic17C2512yes—
909C2×Dic17C2512yes—
910C2×Dic17C2512yes—
911C2×Dic17C2512yes—
912C2×Dic17C2512yes—
913D68—28no—
914D68—28no—
915D68—44no—
916D68—44no—
917D68—44no—
918D68—44no—
919D68—44no—
920C4×D17—28no—
921C4×D17—28no—
922C4×D17—28no—
923C4×D17—44no—
924C4×D17—44no—
925C4×D17—44no—
926C4×D17—44no—
927C4×D17—44no—
928C4×D17—44no—
929C4×D17—44no—
930C4×D17—44no—
931C4×D17—44no—
932C4×D17—44no—
933Dic34—44no—
934Dic34—44no—
935Dic34—44no—
936Dic34—44no—
937Dic34—44no—
938#3533—1732no—
939C2×#563—171no—
940C2×#562—171no—
941C2×#562—171no—
942C2×#560—171no—
943C2×#559—171no—
944C2×#553—171no—
945C2×#553D1711yescharacteristic, complemented
946C2×#552—171no—
947C2×#552—171no—
948C2×#551—171no—
949C2×#551—171no—
950C2×#551—171no—
951C2×#547—171no—
952C2×#547—171no—
953C2×#546—171no—
954C2×#546—171no—
955C2×#542—171no—
956C2×#542—171no—
957C2×#540—171no—
958C2×#540—171no—
959C2×#539—171no—
960C2×#539—171no—
961C2×#538—171no—
962C2×#538—171no—
963C2×#538—171no—
964C2×#538—171no—
965C2×#535—171no—
966C2×#534—171no—
967C2×#525—171no—
968C2×#525—171no—
969C22×#123—171no—
970C22×C17—22no—
971C22×C17—22no—
972C22×C17—22no—
973C22×C17—22no—
974C22×C17—22no—
975C22×C17—22no—
976C22×C17—22no—
977C22×C17—22no—
978C22×C17—22no—
979C22×C17—22no—
980C22×C17—22no—
981C22×C17—22no—
982C22×C17—44no—
983C22×C17—44no—
984C22×C17—44no—
985C22×C17—44no—
986C22×C17C2×H(5,𝔽2)12yes—
987C22×C17#58512yes—
988C22×C17#58512yes—
989C22×C17C2611yescharacteristic
990C2×D17—22no—
991C2×D17—22no—
992C2×D17—28no—
993C2×D17—22no—
994C2×D17—22no—
995C2×D17—22no—
996C2×D17—22no—
997C2×D17—22no—
998C2×D17—22no—
999C2×D17—22no—
1000C2×D17—22no—
1001C2×D17—22no—
1002C2×D17—22no—
1003C2×D17—22no—
1004C2×D17—22no—
1005C2×D17—416no—
1006C2×D17—44no—
1007C2×D17—44no—
1008C2×D17—44no—
1009C2×D17—44no—
1010C2×D17—88no—
1011C2×D17—88no—
1012C2×D17C2×H(5,𝔽2)14yes—
1013C4×C17—22no—
1014C4×C17—22no—
1015C4×C17—22no—
1016C4×C17—22no—
1017C4×C17—22no—
1018C4×C17—22no—
1019C4×C17—22no—
1020C4×C17—22no—
1021C4×C17—22no—
1022C4×C17—22no—
1023C4×C17—22no—
1024Dic17—22no—
1025Dic17—22no—
1026Dic17—22no—
1027Dic17—22no—
1028Dic17—22no—
1029Dic17—22no—
1030Dic17—22no—
1031Dic17—22no—
1032Dic17—22no—
1033Dic17—22no—
1034Dic17—22no—
1035C22×#41—171no—
1036C22×#41—171no—
1037C22×#41—171no—
1038C23×D4—171no—
1039C23×D4—171no—
1040C24×C4—171no—
1041#563—1716no—
1042#562—1716no—
1043#562—1716no—
1044#560—1716no—
1045#559—1716no—
1046#553—1716no—
1047#553C2×D17116yescomplemented
1048#552—1716no—
1049#552—1716no—
1050#551—1716no—
1051#551—1716no—
1052#551—1716no—
1053#547—1716no—
1054#547—1716no—
1055#546—1716no—
1056#546—1716no—
1057#542—1716no—
1058#542—1716no—
1059#540—1716no—
1060#540—1716no—
1061#539—1716no—
1062#539—1716no—
1063#538—1716no—
1064#538—1716no—
1065#538—1716no—
1066#538—1716no—
1067#535—1716no—
1068#534—1716no—
1069C2×C4⋊Q8—171no—
1070C2×C4⋊Q8—171no—
1071C2×#127—171no—
1072C2×#127—171no—
1073C2×#126—171no—
1074C2×#126—171no—
1075C2×#126—171no—
1076C2×#126—171no—
1077C2×#126—171no—
1078C2×#126—171no—
1079C2×#126—171no—
1080C2×#126—171no—
1081C2×#126—171no—
1082C2×#126—171no—
1083C2×#126C2×D1711yescharacteristic, complemented
1084C2×#126C2×D1711yescharacteristic, complemented
1085C2×#125—171no—
1086C2×#125—171no—
1087C2×#125—171no—
1088C2×#125—171no—
1089C2×#125—171no—
1090C2×#125C2×D1711yescharacteristic, complemented
1091C2×#124—171no—
1092C2×#124—171no—
1093C2×#124—171no—
1094C2×#124—171no—
1095C2×#124—171no—
1096C2×#124—171no—
1097C2×#124—171no—
1098C2×#124—171no—
1099C2×#124—171no—
1100C2×#124—171no—
1101#525—1716no—
1102#525—1716no—
1103C2×#123—171no—
1104C2×#123—171no—
1105C2×#123—171no—
1106C2×#123—171no—
1107C2×#123—171no—
1108C2×#123—171no—
1109C2×#123—171no—
1110C2×#123—171no—
1111C2×#123—171no—
1112C2×#123—1716no—
1113C2×#123—171no—
1114C2×#123—171no—
1115C2×#123—171no—
1116C2×#123—171no—
1117C2×#123—171no—
1118C2×#123—171no—
1119C2×#123—171no—
1120C2×#123—171no—
1121C2×#123—171no—
1122C2×#123—171no—
1123C2×#123—171no—
1124C2×#123—171no—
1125C2×#123—171no—
1126C2×#123—171no—
1127C2×#123—171no—
1128C2×#123—171no—
1129C2×#123—171no—
1130C2×#123—171no—
1131C2×#123—171no—
1132C2×#123C2×D1711yescharacteristic, complemented
1133C2×#123C2×D1711yescharacteristic, complemented
1134C2×C22⋊Q8—171no—
1135C2×C22⋊Q8—171no—
1136C2×C22⋊Q8—171no—
1137C2×C22⋊Q8—171no—
1138C2×C22⋊Q8—171no—
1139C2×C22⋊Q8—171no—
1140C2×C22⋊Q8—171no—
1141C2×C22⋊Q8—171no—
1142C2×C22⋊Q8—171no—
1143C2×C22⋊Q8—171no—
1144C2×C22⋊Q8—171no—
1145C2×C22⋊Q8—171no—
1146C2×C22⋊Q8—171no—
1147C2×C22⋊Q8—171no—
1148C2×C22⋊Q8—171no—
1149C2×C22⋊Q8—171no—
1150C2×#121—171no—
1151C2×#121—171no—
1152C2×#121—171no—
1153C2×#121—171no—
1154C2×#121—171no—
1155C2×#121—171no—
1156C2×#121—171no—
1157C2×#121—171no—
1158C2×#121—171no—
1159C2×#121—171no—
1160C2×#121—171no—
1161C2×#121—171no—
1162C2×#121—171no—
1163C2×#121—171no—
1164C2×#121—171no—
1165C2×#121—171no—
1166C2×#121—171no—
1167C2×#121—171no—
1168C2×#121—171no—
1169C2×#121—171no—
1170C2×#121C2×D1711yescharacteristic
1171C2×#121C2×D1711yescharacteristic, complemented
1172C2×#121C2×D1711yescharacteristic, complemented
1173C2×#121C2×D1711yescharacteristic, complemented
1174C2×#120—171no—
1175C2×#120—171no—
1176C2×#120—171no—
1177C2×#120—171no—
1178C2×#120—171no—
1179C2×#120—171no—
1180C2×#120—171no—
1181C2×#120—171no—
1182C2×#120—171no—
1183C2×#120—171no—
1184C2×C4×Q8—171no—
1185C2×C4×Q8—171no—
1186C2×C4×D4—171no—
1187C2×C4×D4—171no—
1188C2×C4×D4—171no—
1189C2×C4×D4—171no—
1190C2×C4×D4—171no—
1191C2×C4×D4—171no—
1192C2×C4×D4—171no—
1193C2×C4×D4—171no—
1194C2×C4×D4—171no—
1195C2×C4×D4—171no—
1196C2×C4×D4—171no—
1197C2×C4×D4—171no—
1198C2×C4×D4—171no—
1199C2×C4×D4—171no—
1200C2×C4×D4C2×D1711yescharacteristic, complemented
1201C2×C4×D4C2×D1711yescharacteristic, complemented
1202C2×C4×D4C2×D1711yescharacteristic, complemented
1203C2×C4×D4C2×D1711yescharacteristic, complemented
1204C2×#117—171no—
1205C2×#117—171no—
1206C2×#117—171no—
1207C2×#117—171no—
1208C2×#117—171no—
1209C2×#117—171no—
1210C2×#117C2×D1711yescharacteristic, complemented
1211C22×C4⋊C4—171no—
1212C22×C4⋊C4—171no—
1213C22×C4⋊C4—171no—
1214C22×C4⋊C4C2×D1711yescharacteristic, complemented
1215C22×C22⋊C4—171no—
1216C22×C22⋊C4—171no—
1217C22×C22⋊C4—171no—
1218C22×C22⋊C4—171no—
1219C22×C22⋊C4—171no—
1220C22×C22⋊C4—171no—
1221C2×C17—42no—
1222C2×C17—42no—
1223C2×C17—42no—
1224C2×C17—42no—
1225C2×C17#353314yescomplemented
1226C2×C17C22×H(5,𝔽2)11yescharacteristic
1227C2×C17C2×#58511yescharacteristic
1228C2×C17C2×#58511yescharacteristic
1229D17—24no—
1230D17—42no—
1231D17—42no—
1232D17—42no—
1233D17—42no—
1234C25—171no—
1235C25—171no—
1236C25—171no—
1237C2×#41—178no—
1238C2×#41—178no—
1239C2×#41—178no—
1240C2×#41—684no—
1241C2×#41—684no—
1242C2×#41—684no—
1243C22×Q8—171no—
1244C22×Q8—171no—
1245C22×Q8—171no—
1246C22×Q8—171no—
1247C22×Q8—171no—
1248C22×D4—171no—
1249C22×D4—171no—
1250C22×D4—171no—
1251C22×D4—171no—
1252C22×D4—171no—
1253C22×D4—171no—
1254C22×D4—171no—
1255C22×D4—171no—
1256C22×D4—171no—
1257C22×D4—171no—
1258C22×D4—171no—
1259C22×D4—171no—
1260C22×D4—171no—
1261C22×D4—171no—
1262C22×D4—178no—
1263C22×D4—178no—
1264C22×D4—171no—
1265C22×D4—171no—
1266C22×D4—171no—
1267C22×D4—171no—
1268C22×D4—171no—
1269C22×D4—171no—
1270C22×D4—171no—
1271C22×D4—684no—
1272C22×D4—684no—
1273C22×D4C22×D1711yescharacteristic
1274C22×D4C22×D1711yescharacteristic
1275C22×D4C22×D1711yescharacteristic
1276C22×D4C22×D1711yescharacteristic
1277C22×D4C22×D1711yescharacteristic
1278C22×D4C22×D1711yescharacteristic
1279C23×C4—171no—
1280C23×C4—171no—
1281C23×C4—171no—
1282C23×C4—171no—
1283C23×C4—171no—
1284C23×C4—171no—
1285C23×C4—171no—
1286C23×C4—171no—
1287C23×C4—171no—
1288C23×C4—171no—
1289C23×C4—171no—
1290C23×C4—171no—
1291C23×C4—171no—
1292C23×C4—171no—
1293C23×C4—171no—
1294C23×C4—171no—
1295C23×C4—178no—
1296C23×C4—684no—
1297C23×C4C22×D1711yescharacteristic
1298C23×C4C22×D1711yescharacteristic
1299C23×C4C22×D1711yescharacteristic
1300C23×C4C22×D1711yescharacteristic
1301C23×C4C22×D1711yescharacteristic
1302C23×C4C22×D1711yescharacteristic
1303C4⋊Q8—178no—
1304C4⋊Q8—178no—
1305#127—178no—
1306#127—178no—
1307#126—178no—
1308#126—178no—
1309#126—178no—
1310#126—178no—
1311#126—178no—
1312#126—178no—
1313#126—178no—
1314#126—178no—
1315#126—178no—
1316#126—178no—
1317#126C22×D1718yescomplemented
1318#126C22×D1718yescomplemented
1319#125—178no—
1320#125—178no—
1321#125—178no—
1322#125—178no—
1323#125—178no—
1324#125C22×D1718yescomplemented
1325#124—178no—
1326#124—178no—
1327#124—178no—
1328#124—178no—
1329#124—178no—
1330#124—178no—
1331#124—178no—
1332#124—178no—
1333#124—178no—
1334#124—178no—
1335#123—178no—
1336#123—178no—
1337#123—178no—
1338#123—178no—
1339#123—178no—
1340#123—178no—
1341#123—178no—
1342#123—178no—
1343#123—178no—
1344#123—178no—
1345#123—178no—
1346#123—178no—
1347#123—178no—
1348#123—178no—
1349#123—178no—
1350#123—178no—
1351#123—178no—
1352#123—178no—
1353#123—178no—
1354#123—178no—
1355#123—178no—
1356#123—178no—
1357#123—178no—
1358#123—178no—
1359#123—178no—
1360#123—178no—
1361#123—178no—
1362#123—178no—
1363#123C22×D1718yescomplemented
1364#123C22×D1718yescomplemented
1365C22⋊Q8—178no—
1366C22⋊Q8—178no—
1367C22⋊Q8—178no—
1368C22⋊Q8—178no—
1369C22⋊Q8—178no—
1370C22⋊Q8—178no—
1371C22⋊Q8—178no—
1372C22⋊Q8—178no—
1373C22⋊Q8—178no—
1374C22⋊Q8—178no—
1375C22⋊Q8—178no—
1376C22⋊Q8—178no—
1377C22⋊Q8—178no—
1378C22⋊Q8—178no—
1379C22⋊Q8—178no—
1380C22⋊Q8—178no—
1381#121—178no—
1382#121—178no—
1383#121—178no—
1384#121—178no—
1385#121—178no—
1386#121—178no—
1387#121—178no—
1388#121—178no—
1389#121—178no—
1390#121—178no—
1391#121—178no—
1392#121—178no—
1393#121—178no—
1394#121—178no—
1395#121—178no—
1396#121—178no—
1397#121—178no—
1398#121—178no—
1399#121—178no—
1400#121—178no—
1401#121C22×D1718yes—
1402#121C22×D1718yescomplemented
1403#121C22×D1718yescomplemented
1404#121C22×D1718yescomplemented
1405#120—178no—
1406#120—178no—
1407#120—178no—
1408#120—178no—
1409#120—178no—
1410#120—178no—
1411#120—178no—
1412#120—178no—
1413#120—178no—
1414#120—178no—
1415C4×Q8—178no—
1416C4×Q8—178no—
1417C4×D4—178no—
1418C4×D4—178no—
1419C4×D4—178no—
1420C4×D4—178no—
1421C4×D4—178no—
1422C4×D4—178no—
1423C4×D4—178no—
1424C4×D4—178no—
1425C4×D4—178no—
1426C4×D4—178no—
1427C4×D4—178no—
1428C4×D4—178no—
1429C4×D4—178no—
1430C4×D4—178no—
1431C4×D4C22×D1718yescomplemented
1432C4×D4C22×D1718yescomplemented
1433C4×D4C22×D1718yescomplemented
1434C4×D4C22×D1718yescomplemented
1435#117—178no—
1436#117—178no—
1437#117—178no—
1438#117—178no—
1439#117—178no—
1440#117—178no—
1441#117C22×D1718yescomplemented
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—171no—
1450C2×C4⋊C4—171no—
1451C2×C4⋊C4—171no—
1452C2×C4⋊C4—171no—
1453C2×C4⋊C4—171no—
1454C2×C4⋊C4—171no—
1455C2×C4⋊C4—171no—
1456C2×C4⋊C4—171no—
1457C2×C4⋊C4—171no—
1458C2×C4⋊C4—171no—
1459C2×C4⋊C4—171no—
1460C2×C4⋊C4—171no—
1461C2×C4⋊C4—171no—
1462C2×C4⋊C4—171no—
1463C2×C4⋊C4—171no—
1464C2×C4⋊C4—171no—
1465C2×C4⋊C4—171no—
1466C2×C4⋊C4—171no—
1467C2×C4⋊C4—171no—
1468C2×C4⋊C4—171no—
1469C2×C4⋊C4—171no—
1470C2×C4⋊C4—178no—
1471C2×C4⋊C4—178no—
1472C2×C4⋊C4—178no—
1473C2×C4⋊C4C22×D1711yescharacteristic
1474C2×C4⋊C4C22×D1711yescharacteristic
1475C2×C4⋊C4C22×D1711yescharacteristic
1476C2×C4⋊C4C22×D1711yescharacteristic
1477C2×C4⋊C4C22×D1711yescharacteristic
1478C2×C4⋊C4C22×D1711yescharacteristic
1479C2×C4⋊C4C22×D1711yescharacteristic
1480C2×C4⋊C4C22×D1711yescharacteristic
1481C2×C4⋊C4C22×D1711yescharacteristic
1482C2×C4⋊C4C22×D1711yescharacteristic
1483C2×C4⋊C4C22×D1718yescomplemented
1484C2×C22⋊C4—171no—
1485C2×C22⋊C4—171no—
1486C2×C22⋊C4—171no—
1487C2×C22⋊C4—171no—
1488C2×C22⋊C4—171no—
1489C2×C22⋊C4—171no—
1490C2×C22⋊C4—171no—
1491C2×C22⋊C4—171no—
1492C2×C22⋊C4—171no—
1493C2×C22⋊C4—171no—
1494C2×C22⋊C4—171no—
1495C2×C22⋊C4—171no—
1496C2×C22⋊C4—171no—
1497C2×C22⋊C4—171no—
1498C2×C22⋊C4—171no—
1499C2×C22⋊C4—171no—
1500C2×C22⋊C4—171no—
1501C2×C22⋊C4—171no—
1502C2×C22⋊C4—171no—
1503C2×C22⋊C4—171no—
1504C2×C22⋊C4—171no—
1505C2×C22⋊C4—171no—
1506C2×C22⋊C4—171no—
1507C2×C22⋊C4—171no—
1508C2×C22⋊C4—171no—
1509C2×C22⋊C4—171no—
1510C2×C22⋊C4—178no—
1511C2×C22⋊C4—178no—
1512C2×C22⋊C4—171no—
1513C2×C22⋊C4—171no—
1514C2×C22⋊C4—171no—
1515C2×C22⋊C4—171no—
1516C2×C22⋊C4—171no—
1517C2×C22⋊C4—171no—
1518C2×C22⋊C4—171no—
1519C2×C22⋊C4—171no—
1520C2×C22⋊C4—171no—
1521C2×C22⋊C4—171no—
1522C2×C22⋊C4—171no—
1523C2×C22⋊C4—171no—
1524C2×C22⋊C4—171no—
1525C2×C22⋊C4—171no—
1526C2×C22⋊C4—178no—
1527C2×C22⋊C4—178no—
1528C2×C22⋊C4—178no—
1529C2×C22⋊C4—178no—
1530C2×C22⋊C4C22×D1711yescharacteristic
1531C2×C22⋊C4C22×D1711yescharacteristic
1532C2×C22⋊C4C22×D1711yescharacteristic
1533C2×C22⋊C4C22×D1711yescharacteristic
1534C2×C22⋊C4C22×D1711yescharacteristic
1535C2×C22⋊C4C22×D1711yescharacteristic
1536C2×C22⋊C4C22×D1711yescharacteristic
1537C2×C22⋊C4C22×D1711yescharacteristic
1538C2×C22⋊C4C22×D1711yescharacteristic
1539C2×C22⋊C4C22×D1711yescharacteristic
1540C2×C42—171no—
1541C2×C42—171no—
1542C2×C42—171no—
1543C2×C42—171no—
1544C2×C42—171no—
1545C2×C42—171no—
1546C2×C42—171no—
1547C2×C42C22×D1711yescharacteristic
1548C2×C42C22×D1711yescharacteristic
1549C2×C42C22×D1711yescharacteristic
1550C17C2×#353311yescharacteristic, complemented, Sylow
1551C24—171no—
1552C24—171no—
1553C24—171no—
1554C24—171no—
1555C24—171no—
1556C24—174no—
1557C24—174no—
1558C24—174no—
1559C24—344no—
1560C24—344no—
1561C24—682no—
1562C24—682no—
1563C24—682no—
1564C24—682no—
1565C24—682no—
1566C24—682no—
1567C24—682no—
1568C24C23×D1711yescharacteristic
1569C24C23×D1711yescharacteristic
1570C24C23×D1711yescharacteristic
1571C24C23×D1711yescharacteristic
1572#41—6816no—
1573#41—6816no—
1574#41—6816no—
1575C2×Q8—174no—
1576C2×Q8—174no—
1577C2×Q8—174no—
1578C2×Q8—174no—
1579C2×Q8—174no—
1580C2×Q8—682no—
1581C2×Q8—682no—
1582C2×Q8—682no—
1583C2×Q8—682no—
1584C2×Q8—682no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—174no—
1592C2×D4—174no—
1593C2×D4—174no—
1594C2×D4—174no—
1595C2×D4—174no—
1596C2×D4—174no—
1597C2×D4—174no—
1598C2×D4—174no—
1599C2×D4—174no—
1600C2×D4—174no—
1601C2×D4—174no—
1602C2×D4—174no—
1603C2×D4—174no—
1604C2×D4—174no—
1605C2×D4—174no—
1606C2×D4—174no—
1607C2×D4—174no—
1608C2×D4—174no—
1609C2×D4—174no—
1610C2×D4—174no—
1611C2×D4—174no—
1612C2×D4—344no—
1613C2×D4—344no—
1614C2×D4—344no—
1615C2×D4—344no—
1616C2×D4—682no—
1617C2×D4—682no—
1618C2×D4—682no—
1619C2×D4—682no—
1620C2×D4—682no—
1621C2×D4—6816no—
1622C2×D4—682no—
1623C2×D4—682no—
1624C2×D4—682no—
1625C2×D4—682no—
1626C2×D4—682no—
1627C2×D4—682no—
1628C2×D4—682no—
1629C2×D4—682no—
1630C2×D4—682no—
1631C2×D4—682no—
1632C2×D4—682no—
1633C2×D4—682no—
1634C2×D4—6816no—
1635C2×D4C23×D1714yes—
1636C2×D4C23×D1714yes—
1637C2×D4C23×D1714yes—
1638C2×D4C23×D1714yes—
1639C2×D4C23×D1714yes—
1640C2×D4C23×D1714yes—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—171no—
1648C22×C4—171no—
1649C22×C4—171no—
1650C22×C4—171no—
1651C22×C4—171no—
1652C22×C4—171no—
1653C22×C4—171no—
1654C22×C4—171no—
1655C22×C4—171no—
1656C22×C4—171no—
1657C22×C4—171no—
1658C22×C4—174no—
1659C22×C4—174no—
1660C22×C4—174no—
1661C22×C4—174no—
1662C22×C4—174no—
1663C22×C4—174no—
1664C22×C4—174no—
1665C22×C4—174no—
1666C22×C4—174no—
1667C22×C4—174no—
1668C22×C4—174no—
1669C22×C4—174no—
1670C22×C4—174no—
1671C22×C4—174no—
1672C22×C4—174no—
1673C22×C4—174no—
1674C22×C4—344no—
1675C22×C4—344no—
1676C22×C4—344no—
1677C22×C4—682no—
1678C22×C4—682no—
1679C22×C4—682no—
1680C22×C4—682no—
1681C22×C4—682no—
1682C22×C4—682no—
1683C22×C4—682no—
1684C22×C4—682no—
1685C22×C4—682no—
1686C22×C4—682no—
1687C22×C4—6816no—
1688C22×C4—682no—
1689C22×C4—682no—
1690C22×C4—682no—
1691C22×C4C23×D1711yescharacteristic
1692C22×C4C23×D1711yescharacteristic
1693C22×C4C23×D1711yescharacteristic
1694C22×C4C23×D1711yescharacteristic
1695C22×C4C23×D1711yescharacteristic
1696C22×C4C23×D1711yescharacteristic
1697C22×C4C23×D1711yescharacteristic
1698C22×C4C23×D1711yescharacteristic
1699C22×C4C23×D1711yescharacteristic
1700C22×C4C23×D1711yescharacteristic
1701C22×C4C23×D1711yescharacteristic
1702C22×C4C23×D1714yes—
1703C22×C4C23×D1714yes—
1704C22×C4C23×D1714yes—
1705C22×C4C23×D1714yes—
1706C22×C4C23×D1714yes—
1707C22×C4C23×D1714yes—
1708C4⋊C4—174no—
1709C4⋊C4—174no—
1710C4⋊C4—174no—
1711C4⋊C4—174no—
1712C4⋊C4—174no—
1713C4⋊C4—174no—
1714C4⋊C4—174no—
1715C4⋊C4—174no—
1716C4⋊C4—174no—
1717C4⋊C4—174no—
1718C4⋊C4—174no—
1719C4⋊C4—174no—
1720C4⋊C4—174no—
1721C4⋊C4—174no—
1722C4⋊C4—174no—
1723C4⋊C4—174no—
1724C4⋊C4—174no—
1725C4⋊C4—174no—
1726C4⋊C4—174no—
1727C4⋊C4—174no—
1728C4⋊C4—174no—
1729C4⋊C4—174no—
1730C4⋊C4—174no—
1731C4⋊C4—174no—
1732C4⋊C4—174no—
1733C4⋊C4—174no—
1734C4⋊C4—174no—
1735C4⋊C4—174no—
1736C4⋊C4C23×D1714yes—
1737C4⋊C4C23×D1714yes—
1738C4⋊C4C23×D1714yes—
1739C4⋊C4C23×D1714yes—
1740C4⋊C4C23×D1714yes—
1741C4⋊C4C23×D1714yes—
1742C4⋊C4C23×D1714yes—
1743C4⋊C4C23×D1714yes—
1744C4⋊C4C23×D1714yes—
1745C4⋊C4C23×D1714yes—
1746C22⋊C4—174no—
1747C22⋊C4—174no—
1748C22⋊C4—174no—
1749C22⋊C4—174no—
1750C22⋊C4—174no—
1751C22⋊C4—174no—
1752C22⋊C4—174no—
1753C22⋊C4—174no—
1754C22⋊C4—174no—
1755C22⋊C4—174no—
1756C22⋊C4—174no—
1757C22⋊C4—174no—
1758C22⋊C4—174no—
1759C22⋊C4—174no—
1760C22⋊C4—174no—
1761C22⋊C4—174no—
1762C22⋊C4—174no—
1763C22⋊C4—174no—
1764C22⋊C4—174no—
1765C22⋊C4—174no—
1766C22⋊C4—174no—
1767C22⋊C4—174no—
1768C22⋊C4—174no—
1769C22⋊C4—174no—
1770C22⋊C4—174no—
1771C22⋊C4—174no—
1772C22⋊C4—174no—
1773C22⋊C4—174no—
1774C22⋊C4—174no—
1775C22⋊C4—174no—
1776C22⋊C4—174no—
1777C22⋊C4—174no—
1778C22⋊C4—174no—
1779C22⋊C4—174no—
1780C22⋊C4—174no—
1781C22⋊C4—174no—
1782C22⋊C4—174no—
1783C22⋊C4—174no—
1784C22⋊C4—174no—
1785C22⋊C4—174no—
1786C22⋊C4C23×D1714yes—
1787C22⋊C4C23×D1714yes—
1788C22⋊C4C23×D1714yes—
1789C22⋊C4C23×D1714yes—
1790C22⋊C4C23×D1714yes—
1791C22⋊C4C23×D1714yes—
1792C22⋊C4C23×D1714yes—
1793C22⋊C4C23×D1714yes—
1794C22⋊C4C23×D1714yes—
1795C22⋊C4C23×D1714yes—
1796C42—174no—
1797C42—174no—
1798C42—174no—
1799C42—174no—
1800C42—174no—
1801C42—174no—
1802C42—174no—
1803C42C23×D1714yes—
1804C42C23×D1714yes—
1805C42C23×D1714yes—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—174no—
1819C23—172no—
1820C23—172no—
1821C23—172no—
1822C23—172no—
1823C23—172no—
1824C23—348no—
1825C23—348no—
1826C23—342no—
1827C23—342no—
1828C23—342no—
1829C23—342no—
1830C23—342no—
1831C23—342no—
1832C23—342no—
1833C23—342no—
1834C23—342no—
1835C23—342no—
1836C23—342no—
1837C23—342no—
1838C23—342no—
1839C23—342no—
1840C23—684no—
1841C23—684no—
1842C23—684no—
1843C23—684no—
1844C23—684no—
1845C23—684no—
1846C23—684no—
1847C23—6816no—
1848C23—1368no—
1849C23—1368no—
1850C23C24×D1712yes—
1851C23C24×D1712yes—
1852C23C24×D1712yes—
1853C23C24×D1712yes—
1854C23C24×D1711yescharacteristic
1855Q8—684no—
1856Q8—684no—
1857Q8—684no—
1858Q8—684no—
1859Q8—684no—
1860D4—44no—
1861D4—44no—
1862D4—44no—
1863D4—44no—
1864D4—44no—
1865D4—44no—
1866D4—348no—
1867D4—348no—
1868D4—348no—
1869D4—348no—
1870D4—684no—
1871D4—684no—
1872D4—684no—
1873D4—684no—
1874D4—684no—
1875D4—684no—
1876D4—684no—
1877D4—684no—
1878D4—684no—
1879D4—684no—
1880D4—684no—
1881D4—684no—
1882D4—684no—
1883D4—684no—
1884D4—684no—
1885D4—684no—
1886D4—684no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—44no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—44no—
1904C2×C4—172no—
1905C2×C4—172no—
1906C2×C4—172no—
1907C2×C4—172no—
1908C2×C4—172no—
1909C2×C4—172no—
1910C2×C4—172no—
1911C2×C4—172no—
1912C2×C4—172no—
1913C2×C4—172no—
1914C2×C4—172no—
1915C2×C4—348no—
1916C2×C4—348no—
1917C2×C4—348no—
1918C2×C4—342no—
1919C2×C4—342no—
1920C2×C4—342no—
1921C2×C4—342no—
1922C2×C4—342no—
1923C2×C4—342no—
1924C2×C4—342no—
1925C2×C4—342no—
1926C2×C4—342no—
1927C2×C4—342no—
1928C2×C4—342no—
1929C2×C4—684no—
1930C2×C4—684no—
1931C2×C4—684no—
1932C2×C4—684no—
1933C2×C4—684no—
1934C2×C4—684no—
1935C2×C4—684no—
1936C2×C4—684no—
1937C2×C4—684no—
1938C2×C4—684no—
1939C2×C4—684no—
1940C2×C4—684no—
1941C2×C4—684no—
1942C2×C4C24×D1712yes—
1943C2×C4C24×D1712yes—
1944C2×C4C24×D1712yes—
1945C2×C4C24×D1712yes—
1946C2×C4C24×D1712yes—
1947C2×C4C24×D1712yes—
1948C2×C4C24×D1712yes—
1949C2×C4C24×D1712yes—
1950C2×C4C24×D1712yes—
1951C2×C4C24×D1712yes—
1952C2×C4C24×D1712yes—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—44no—
1966C22—44no—
1967C22—44no—
1968C22—44no—
1969C22—174no—
1970C22—348no—
1971C22—342no—
1972C22—342no—
1973C22—342no—
1974C22—342no—
1975C22—342no—
1976C22—342no—
1977C22—342no—
1978C22—342no—
1979C22—342no—
1980C22—342no—
1981C22—342no—
1982C22—342no—
1983C22—342no—
1984C22—342no—
1985C22—6816no—
1986C22—684no—
1987C22—684no—
1988C22—684no—
1989C22—684no—
1990C22—1368no—
1991C22—1368no—
1992C22H(5,𝔽2)×D1712yes—
1993C22#1176364512yes—
1994C22#1176364512yes—
1995C22C25×D1711yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—342no—
2008C4—342no—
2009C4—342no—
2010C4—342no—
2011C4—342no—
2012C4—342no—
2013C4—342no—
2014C4—342no—
2015C4—342no—
2016C4—342no—
2017C4—342no—
2018C2—42no—
2019C2—42no—
2020C2—42no—
2021C2—42no—
2022C2—344no—
2023C2—682no—
2024C2—682no—
2025C2—682no—
2026C2—682no—
2027C2#1454294214yesdirect product factor
2028C2C2×H(5,𝔽2)×D1711yescharacteristic
2029C2C2×#1176364511yescharacteristic
2030C2C2×#1176364511yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#553C2
socleC23×C17C25
hypercenterC2×#553D17
hypocenterC17C2×#3533
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #14542942C2direct (N × H)
2. C2×#11763561C2semidirect
3. C2×#11763554C2semidirect
4. C2×#11763554C2semidirect
5. C2×#11763547C2semidirect
6. C2×#11763542C2semidirect
7. C2×#11763504C2semidirect
8. C2×#11763495C2semidirect
9. C2×#11763491C2semidirect
10. C2×#11763488C2semidirect
11. C2×#11763488C2semidirect
12. C2×#11763483C2semidirect
13. C2×#11763464C2semidirect
14. C2×#11763460C2semidirect
15. C2×#11763456C2semidirect
16. C2×#11763451C2semidirect
17. C2×#11763430C2semidirect
18. C2×#11763427C2semidirect
19. C2×#11763410C2semidirect
20. C2×#11763409C2semidirect
21. C2×#11763407C2semidirect
22. C2×#11763406C2semidirect
23. C2×#11763398C2semidirect
24. C2×#11763398C2semidirect
25. C2×#11763392C2semidirect
26. C2×#11763391C2semidirect
27. C2×#11763375C2semidirect
28. C2×#11763367C2semidirect
29. C2×#11763318C2semidirect
30. C2×#11763318C2semidirect
31. C2×#123×D17C2semidirect
32. C2×C17×#553C2semidirect
35. C22×#63252C22semidirect
38. C23×C4×D17C22semidirect
39. #11763561C22semidirect
40. #11763554C22semidirect
41. #11763554C22semidirect
42. #11763547C22semidirect
43. #11763542C22semidirect
44. #11763504C22semidirect
45. #11763495C22semidirect
46. #11763491C22semidirect
47. #11763488C22semidirect
48. #11763488C22semidirect
49. #11763483C22semidirect
50. #11763464C22semidirect
51. #11763460C22semidirect
52. #11763456C22semidirect
53. #11763451C22semidirect
54. #11763430C22semidirect
55. #11763427C22semidirect
56. #11763410C22semidirect
57. #11763409C22semidirect
58. #11763407C22semidirect
59. #11763406C22semidirect
60. #11763398C22semidirect
61. #11763398C22semidirect
62. #11763392C22semidirect
63. #11763391C22semidirect
64. #11763375C22semidirect
65. #11763367C22semidirect
66. C2×#10587555C22semidirect
67. C2×#10587574C22semidirect
69. C2×#10587626C22semidirect
70. C2×#10587584C22semidirect
71. C2×#10587584C22semidirect
72. C2×#10587584C22semidirect
73. C2×#10587584C22semidirect
74. C2×#10587584C22semidirect
75. C2×#10587584C22semidirect
76. C2×#10587562C22semidirect
77. C2×#10587562C22semidirect
78. C2×#10587565C22semidirect
79. C2×#10587565C22semidirect
80. C2×#10587576C22semidirect
81. C2×#10587575C22semidirect
82. C2×#10587575C22semidirect
83. C2×#10587575C22semidirect
84. C2×#10587575C22semidirect
85. C2×#10587561C22semidirect
86. C2×#10587561C22semidirect
87. C2×#10587622C22semidirect
88. C2×#10587622C22semidirect
90. C2×#10587571C22semidirect
91. C2×#10587571C22semidirect
92. C2×#10587571C22semidirect
93. C2×#10587571C22semidirect
94. C2×#10587571C22semidirect
95. #11763318C22semidirect
96. #11763318C22semidirect
102. C2×#10587580C22semidirect
103. C2×#10587580C22semidirect
104. C2×#10587580C22semidirect
107. C2×#10587615C22semidirect
108. C2×#10587615C22semidirect
109. C2×#10587615C22semidirect
110. C2×#10587615C22semidirect
111. C2×#10587615C22semidirect
115. C2×#10587569C22semidirect
116. C2×#10587569C22semidirect
117. C2×#10587569C22semidirect
118. C2×#10587569C22semidirect
119. C2×#10587569C22semidirect
120. C2×#10587569C22semidirect
121. C2×#10587569C22semidirect
122. C2×#10587621C22semidirect
123. C2×#10587621C22semidirect
124. C2×#10587621C22semidirect
125. #123×D17C22semidirect
126. C2×#10587583C22semidirect
127. C2×#10587610C22semidirect
128. C2×#10587610C22semidirect
129. C2×#10587610C22semidirect
130. C2×#10587582C22semidirect
131. C2×#10587582C22semidirect
132. C2×#10587582C22semidirect
133. C2×#10587582C22semidirect
134. C2×#10587582C22semidirect
135. C2×#10587582C22semidirect
136. C2×#10587582C22semidirect
137. C2×#10587582C22semidirect
138. C2×#10587564C22semidirect
139. C2×#10587564C22semidirect
140. C2×#10587564C22semidirect
141. C2×#10587564C22semidirect
144. C2×#10587581C22semidirect
147. C2×#10587616C22semidirect
148. C2×#10587570C22semidirect
149. C2×#10587570C22semidirect
150. C2×#10587570C22semidirect
151. C2×#10587570C22semidirect
154. C2×#10587625C22semidirect
155. C2×#10587625C22semidirect
156. C2×#10587625C22semidirect
157. C2×#10587625C22semidirect
159. C2×#10587624C22semidirect
160. C2×#10587624C22semidirect
161. C2×#10587624C22semidirect
165. C2×#10587568C22semidirect
166. C2×#10587568C22semidirect
170. C2×#10587623C22semidirect
171. C2×#10587623C22semidirect
172. C2×C4×Dic34C22semidirect
173. C2×#10587573C22semidirect
174. C2×C4×D68C22semidirect
175. C2×C4×D68C22semidirect
176. C2×C4×D68C22semidirect
178. C2×#10587579C22semidirect
179. C2×#10587579C22semidirect
180. C2×C4×C22⋊D17C22semidirect
181. C2×C4×C22⋊D17C22semidirect
182. C2×C4×C22⋊D17C22semidirect
183. C2×C4×C22⋊D17C22semidirect
184. C2×C4×C22⋊D17C22semidirect
185. C2×C4×C22⋊D17C22semidirect
187. C2×#10587567C22semidirect
188. C2×#10587578C22semidirect
189. C2×#10587558C22semidirect
190. C2×#10587558C22semidirect
191. C2×#10587558C22semidirect
192. C2×#10587563C22semidirect
193. C2×#10587563C22semidirect
194. C2×C4⋊C4×D17C22semidirect
195. C2×C4⋊C4×D17C22semidirect
196. C2×C4⋊C4×D17C22semidirect
198. C22×#63227C22semidirect
201. C2×C22⋊C4×D17C22semidirect
202. C2×C22⋊C4×D17C22semidirect
203. C17×#553C22semidirect
204. C2×C17×#126C22semidirect
205. C2×C17×#126C22semidirect
206. C2×C17×#125C22semidirect
207. C2×C17×#123C22semidirect
208. C2×C17×#123C22semidirect
210. C2×C17×#121C22semidirect
211. C2×C17×#121C22semidirect
212. C2×C17×#121C22semidirect
213. C2×C4×D4×C17C22semidirect
214. C2×C4×D4×C17C22semidirect
215. C2×C4×D4×C17C22semidirect
216. C2×C4×D4×C17C22semidirect
217. C2×C17×#117C22semidirect
218. C22×C4⋊C4×C17C22semidirect
260. C2×#63252C23semidirect
282. C22×C4×D17C23semidirect
288. C17×#126C23semidirect
289. C17×#126C23semidirect
290. C17×#125C23semidirect
291. C17×#123C23semidirect
292. C17×#123C23semidirect
294. C17×#121C23semidirect
295. C17×#121C23semidirect
296. C17×#121C23semidirect
297. C4×D4×C17C23semidirect
298. C4×D4×C17C23semidirect
299. C4×D4×C17C23semidirect
300. C4×D4×C17C23semidirect
301. C17×#117C23semidirect
312. C2×C4⋊C4×C17C23semidirect
339. #10587626C23semidirect
342. #10587625C23semidirect
343. #10587625C23semidirect
344. #10587625C23semidirect
345. #10587625C23semidirect
347. #10587624C23semidirect
348. #10587624C23semidirect
349. #10587624C23semidirect
353. #10587623C23semidirect
354. #10587623C23semidirect
355. #10587622C23semidirect
356. #10587622C23semidirect
357. #10587621C23semidirect
358. #10587621C23semidirect
359. #10587621C23semidirect
362. #10587616C23semidirect
364. #10587615C23semidirect
365. #10587615C23semidirect
366. #10587615C23semidirect
367. #10587615C23semidirect
368. #10587615C23semidirect
369. C4×C22⋊D17C23semidirect
370. C4×C22⋊D17C23semidirect
371. C4×C22⋊D17C23semidirect
372. C4×C22⋊D17C23semidirect
373. C4×C22⋊D17C23semidirect
374. C4×C22⋊D17C23semidirect
404. C2×#63227C23semidirect
413. #10587610C23semidirect
414. #10587610C23semidirect
415. #10587610C23semidirect
443. #10587584C23semidirect
444. #10587584C23semidirect
445. #10587584C23semidirect
446. #10587584C23semidirect
447. #10587584C23semidirect
448. #10587584C23semidirect
449. #10587583C23semidirect
450. #10587582C23semidirect
451. #10587582C23semidirect
452. #10587582C23semidirect
453. #10587582C23semidirect
454. #10587582C23semidirect
455. #10587582C23semidirect
456. #10587582C23semidirect
457. #10587582C23semidirect
460. #10587581C23semidirect
466. #10587580C23semidirect
467. #10587580C23semidirect
468. #10587580C23semidirect
470. #10587579C23semidirect
471. #10587579C23semidirect
472. #10587578C23semidirect
473. C4⋊C4×D17C23semidirect
474. C4⋊C4×D17C23semidirect
475. C4⋊C4×D17C23semidirect
476. #10587576C23semidirect
477. #10587575C23semidirect
478. #10587575C23semidirect
479. #10587575C23semidirect
480. #10587575C23semidirect
481. #10587574C23semidirect
482. #10587573C23semidirect
485. #10587571C23semidirect
486. #10587571C23semidirect
487. #10587571C23semidirect
488. #10587571C23semidirect
489. #10587571C23semidirect
490. #10587570C23semidirect
491. #10587570C23semidirect
492. #10587570C23semidirect
493. #10587570C23semidirect
497. #10587569C23semidirect
498. #10587569C23semidirect
499. #10587569C23semidirect
500. #10587569C23semidirect
501. #10587569C23semidirect
502. #10587569C23semidirect
503. #10587569C23semidirect
507. #10587568C23semidirect
508. #10587568C23semidirect
510. #10587567C23semidirect
513. C22⋊C4×D17C23semidirect
514. C22⋊C4×D17C23semidirect
515. #10587565C23semidirect
516. #10587565C23semidirect
517. #10587564C23semidirect
518. #10587564C23semidirect
519. #10587564C23semidirect
520. #10587564C23semidirect
521. #10587563C23semidirect
522. #10587563C23semidirect
523. #10587562C23semidirect
524. #10587562C23semidirect
525. #10587561C23semidirect
526. #10587561C23semidirect
527. C4×D68C23semidirect
528. C4×D68C23semidirect
529. C4×D68C23semidirect
530. #10587558C23semidirect
531. #10587558C23semidirect
532. #10587558C23semidirect
533. #10587555C23semidirect
534. C4×Dic34C23semidirect
945. C2×#553D17semidirect
1047. #553C2×D17semidirect
1083. C2×#126C2×D17semidirect
1084. C2×#126C2×D17semidirect
1090. C2×#125C2×D17semidirect
1132. C2×#123C2×D17semidirect
1133. C2×#123C2×D17semidirect
1171. C2×#121C2×D17semidirect
1172. C2×#121C2×D17semidirect
1173. C2×#121C2×D17semidirect
1200. C2×C4×D4C2×D17semidirect
1201. C2×C4×D4C2×D17semidirect
1202. C2×C4×D4C2×D17semidirect
1203. C2×C4×D4C2×D17semidirect
1210. C2×#117C2×D17semidirect
1214. C22×C4⋊C4C2×D17semidirect
1225. C2×C17#3533semidirect
1317. #126C22×D17semidirect
1318. #126C22×D17semidirect
1324. #125C22×D17semidirect
1363. #123C22×D17semidirect
1364. #123C22×D17semidirect
1402. #121C22×D17semidirect
1403. #121C22×D17semidirect
1404. #121C22×D17semidirect
1431. C4×D4C22×D17semidirect
1432. C4×D4C22×D17semidirect
1433. C4×D4C22×D17semidirect
1434. C4×D4C22×D17semidirect
1441. #117C22×D17semidirect
1483. C2×C4⋊C4C22×D17semidirect
1550. C17C2×#3533semidirect
2027. C2#14542942direct (N × H)

Maximal subgroups

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

subgroupindex
#145429422
C2×#117635612
C2×#117635542
C2×#117635472
C2×#117635422
C2×#117635042
C2×#117634952
C2×#117634912
C2×#117634882
C2×#117634832
C2×#117634642
C2×#117634602
C2×#117634562
C2×#117634512
C2×#117634302
C2×#117634272
C2×#117634102
C2×#117634092
C2×#117634072
C2×#117634062
C2×#117633982
C2×#117633922
C2×#117633912
C2×#117633752
C2×#117633672
C2×#117633182
C2×#123×D172
C2×C17×#5532
C2×#353317