Finite Group Databasebeta

← C2×#14542825 #17942333

Subgroups — C2×#14542825 #17942333

Order 4352.

7910 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542825C2132yesmaximal, direct product factor
2C2×#11763526C211yesmaximal, characteristic, complemented
3C2×#11763515C211yesmaximal, characteristic, complemented
4C2×#11763513C211yesmaximal, characteristic, complemented
5C2×#11763496C211yesmaximal, characteristic, complemented
6C2×#11763491C211yesmaximal, characteristic, complemented
7C2×#11763487C211yesmaximal, characteristic, complemented
8C2×#11763486C211yesmaximal, characteristic, complemented
9C2×#11763484C211yesmaximal, characteristic, complemented
10C2×#11763482C211yesmaximal, characteristic, complemented
11C2×#11763472C211yesmaximal, characteristic, complemented
12C2×#11763469C211yesmaximal, characteristic, complemented
13C2×#11763465C211yesmaximal, characteristic, complemented
14C2×#11763457C211yesmaximal, characteristic, complemented
15C2×#11763457C211yesmaximal, characteristic, complemented
16C2×#11763451C211yesmaximal, characteristic, complemented
17C2×#11763448C211yesmaximal, characteristic, complemented
18C2×#11763429C211yesmaximal, characteristic, complemented
19C2×#11763427C211yesmaximal, characteristic, complemented
20C2×#11763407C211yesmaximal, characteristic, complemented
21C2×#11763401C211yesmaximal, characteristic, complemented
22C2×#11763400C211yesmaximal, characteristic, complemented
23C2×#11763365C211yesmaximal, characteristic, complemented
24C2×#11763342C211yesmaximal, characteristic, complemented
25C2×#11763318C211yesmaximal, characteristic, complemented
26C2×#11763317C211yesmaximal, characteristic, complemented
27C22×#10587582C211yesmaximal, characteristic, complemented
28C2×C22⋊Q8×D17C211yesmaximal, characteristic, complemented
29C2×#11763290C211yesmaximal, characteristic, complemented
30C2×#11763288C211yesmaximal, characteristic, complemented
31C2×C4×D4×D17C211yesmaximal, characteristic, complemented
32C2×C17×#539C211yesmaximal, characteristic, complemented
33C22×#63252C2211yescharacteristic
34C22×#63252C2211yescharacteristic, complemented
35C22×#63254C2211yescharacteristic
36C22×#63254C2211yescharacteristic, complemented
37C23×Dic34C2211yescharacteristic, complemented
38C22×Q8×D17C2211yescharacteristic, complemented
39C22×D4×D17C2211yescharacteristic
40C23×C4×D17C2211yescharacteristic
41C23×C4×D17C2211yescharacteristic
42#11763526C22116yescomplemented
43#11763515C22116yescomplemented
44#11763513C22116yescomplemented
45#11763496C22116yescomplemented
46#11763491C22116yescomplemented
47#11763487C22116yescomplemented
48#11763486C22116yescomplemented
49#11763484C22116yescomplemented
50#11763482C22116yescomplemented
51#11763472C22116yescomplemented
52#11763469C22116yescomplemented
53#11763465C22116yescomplemented
54#11763457C22116yescomplemented
55#11763457C22116yescomplemented
56#11763451C22116yescomplemented
57#11763448C22116yescomplemented
58#11763429C22116yescomplemented
59#11763427C22116yescomplemented
60#11763407C22116yescomplemented
61#11763401C22116yescomplemented
62#11763400C22116yescomplemented
63#11763365C22116yescomplemented
64C2×#10587574C2211yescharacteristic, complemented
65C2×#10587574C2211yescharacteristic, complemented
66C2×#10587574C2211yescharacteristic, complemented
67C2×#10587630C2211yescharacteristic, complemented
68#11763342C22116yescomplemented
69C2×#10587584C2211yescharacteristic, complemented
70C2×#10587584C2211yescharacteristic, complemented
71C2×#10587584C2211yescharacteristic, complemented
72C2×#10587584C2211yescharacteristic, complemented
73C2×#10587562C2211yescharacteristic, complemented
74C2×#10587565C2211yescharacteristic, complemented
75C2×#10587565C2211yescharacteristic, complemented
76C2×#10587565C2211yescharacteristic, complemented
77C2×#10587556C2211yescharacteristic, complemented
78C2×#10587576C2211yescharacteristic, complemented
79C2×#10587575C2211yescharacteristic, complemented
80C2×#10587575C2211yescharacteristic, complemented
81C2×#10587575C2211yescharacteristic, complemented
82C2×#10587633C2211yescharacteristic, complemented
83C2×#10587622C2211yescharacteristic, complemented
84C2×#10587571C2211yescharacteristic
85C2×#10587571C2211yescharacteristic
86C2×#10587571C2211yescharacteristic, complemented
87C2×#10587571C2211yescharacteristic, complemented
88C2×#10587571C2211yescharacteristic, complemented
89#11763318C22116yescomplemented
90#11763317C22116yescomplemented
91C2×#10587580C2211yescharacteristic
92C2×#10587580C2211yescharacteristic
93C2×#10587580C2211yescharacteristic
94C2×#10587580C2211yescharacteristic, complemented
95C2×#10587580C2211yescharacteristic, complemented
96C2×#10587580C2211yescharacteristic, complemented
97C2×#10587572C2211yescharacteristic, complemented
98C2×#10587572C2211yescharacteristic, complemented
99C2×#10587615C2211yescharacteristic, complemented
100C2×#10587569C2211yescharacteristic
101C2×#10587569C2211yescharacteristic, complemented
102C2×#10587569C2211yescharacteristic, complemented
103C2×#10587569C2211yescharacteristic, complemented
104C2×#10587621C2211yescharacteristic
105C2×#10587583C2211yescharacteristic
106C2×#10587583C2211yescharacteristic, complemented
107C2×#10587583C2211yescharacteristic, complemented
108C2×#10587610C2211yescharacteristic, complemented
109C2×#10587582C2211yescharacteristic
110C2×#10587582C2211yescharacteristic
111C2×#10587582C2211yescharacteristic
112C2×#10587582C2211yescharacteristic
113C2×#10587582C2211yescharacteristic
114C2×#10587582C2211yescharacteristic
115C2×#10587582C2211yescharacteristic
116C2×#10587582C2211yescharacteristic, complemented
117C2×#10587582C2211yescharacteristic, complemented
118C2×#10587582C2211yescharacteristic, complemented
119C2×#10587582C2211yescharacteristic, complemented
120C2×#10587582C2211yescharacteristic, complemented
121C2×#10587582C2211yescharacteristic, complemented
122C2×#10587582C2211yescharacteristic, complemented
123C2×#10587582C2211yescharacteristic, complemented
124C2×#10587582C22116yescomplemented
125C2×#10587564C2211yescharacteristic, complemented
126C2×#10587564C2211yescharacteristic, complemented
127C2×#10587564C2211yescharacteristic, complemented
128C2×#10587564C2211yescharacteristic, complemented
129C2×#10587564C2211yescharacteristic, complemented
130C2×#10587564C2211yescharacteristic, complemented
131C2×#10587632C2211yescharacteristic
132C22⋊Q8×D17C22116yescomplemented
133C2×#10587581C2211yescharacteristic
134C2×#10587570C2211yescharacteristic
135C2×#10587570C2211yescharacteristic
136C2×#10587570C2211yescharacteristic
137C2×#10587570C2211yescharacteristic, complemented
138C2×#10587625C2211yescharacteristic
139C2×#10587625C2211yescharacteristic
140C2×#10587625C2211yescharacteristic, complemented
141C2×#10587568C2211yescharacteristic
142C2×#10587568C2211yescharacteristic
143C2×#10587623C2211yescharacteristic
144C2×#10587623C2211yescharacteristic
145#11763290C22116yescomplemented
146#11763288C22116yescomplemented
147C2×C4×Dic34C2211yescharacteristic, complemented
148C2×#10587573C2211yescharacteristic, complemented
149C2×#10587573C2211yescharacteristic, complemented
150C2×#10587573C2211yescharacteristic, complemented
151C2×#10587573C2211yescharacteristic, complemented
152C2×#10587573C2211yescharacteristic, complemented
153C2×#10587573C2211yescharacteristic, complemented
154C2×C4×D68C2211yescharacteristic
155C2×C4×D68C2211yescharacteristic
156C2×D4×Dic17C2211yescharacteristic
157C2×D4×Dic17C2211yescharacteristic, complemented
158C2×#10587579C2211yescharacteristic
159C2×#10587579C2211yescharacteristic
160C2×#10587579C2211yescharacteristic
161C2×#10587579C2211yescharacteristic, complemented
162C2×#10587579C2211yescharacteristic, complemented
163C2×C4×C22⋊D17C2211yescharacteristic
164C2×C4×C22⋊D17C2211yescharacteristic
165C2×C4×C22⋊D17C2211yescharacteristic
166C2×C4×C22⋊D17C2211yescharacteristic
167C2×C4×C22⋊D17C2211yescharacteristic, complemented
168C2×C4×C22⋊D17C2211yescharacteristic, complemented
169C2×C4×C22⋊D17C2211yescharacteristic, complemented
170C2×#10587567C2211yescharacteristic
171C2×#10587567C2211yescharacteristic
172C2×#10587567C2211yescharacteristic
173C2×#10587567C2211yescharacteristic
174C2×#10587567C2211yescharacteristic
175C2×#10587567C2211yescharacteristic, complemented
176C2×#10587567C2211yescharacteristic, complemented
177C4×D4×D17C22116yescomplemented
178C2×#10587612C2211yescharacteristic, complemented
179C2×#10587578C2211yescharacteristic
180C2×#10587578C2211yescharacteristic
181C2×#10587578C2211yescharacteristic, complemented
182C2×#10587578C2211yescharacteristic, complemented
183C2×#10587558C2211yescharacteristic, complemented
184C2×#10587558C2211yescharacteristic, complemented
185C2×#10587563C2211yescharacteristic, complemented
186C2×#10587563C2211yescharacteristic, complemented
187C2×#10587563C2211yescharacteristic, complemented
188C22×#63225C2211yescharacteristic, complemented
189C22×#63225C2211yescharacteristic, complemented
190C22×#63225C2211yescharacteristic, complemented
191C2×C4⋊C4×D17C2211yescharacteristic
192C2×C4⋊C4×D17C2211yescharacteristic, complemented
193C2×C4⋊C4×D17C2211yescharacteristic, complemented
194C2×C4⋊C4×D17C2211yescharacteristic, complemented
195C2×C4⋊C4×D17C2211yescharacteristic, complemented
196C22×#63227C2211yescharacteristic
197C22×#63227C2211yescharacteristic
198C2×C22⋊C4×D17C2211yescharacteristic
199C2×C22⋊C4×D17C2211yescharacteristic
200C2×C22⋊C4×D17C2211yescharacteristic
201C2×C22⋊C4×D17C2211yescharacteristic
202C2×C42×D17C2211yescharacteristic
203C17×#539C22116yescomplemented
204C2×C17×#126C2211yescharacteristic, complemented
205C2×C17×#126C2211yescharacteristic, complemented
206C2×C17×#125C2211yescharacteristic, complemented
207C2×C17×#125C2211yescharacteristic, complemented
208C2×C17×#123C2211yescharacteristic
209C2×C17×#123C2211yescharacteristic, complemented
210C2×C17×#123C2211yescharacteristic, complemented
211C2×C17×#123C2211yescharacteristic, complemented
212C2×C17×C22⋊Q8C2211yescharacteristic, complemented
213C2×C17×C22⋊Q8C2211yescharacteristic, complemented
214C2×C17×C22⋊Q8C2211yescharacteristic, complemented
215C2×C17×#121C2211yescharacteristic
216C2×C4×D4×C17C2211yescharacteristic
217C2×C4×D4×C17C2211yescharacteristic, complemented
218C22×C4⋊C4×C17C2211yescharacteristic, complemented
219C24×D17C2311yescharacteristic
220C24×D17C2311yescharacteristic
221C22×Q8×C17C2311yescharacteristic
222C22×D4×C17C2311yescharacteristic
223C22×D4×C17C2311yescharacteristic
224C22×D4×C17C2311yescharacteristic
225C23×C4×C17C2311yescharacteristic
226C23×C4×C17C2311yescharacteristic
227C23×C4×C17C2311yescharacteristic
228C23×C4×C17C2311yescharacteristic
229C23×C4×C17C2311yescharacteristic
230C22×C22⋊D17C2311yescharacteristic
231C22×C22⋊D17C2311yescharacteristic
232C22×C22⋊D17C2311yescharacteristic
233C22×C22⋊D17C2311yescharacteristic
234C22×C22⋊D17C2311yescharacteristic
235C22×C22⋊D17C2311yescharacteristic
236C22×C22⋊D17C2311yescharacteristic
237C22×C22⋊D17C2311yescharacteristic
238C23×Dic17C2311yescharacteristic
239C23×Dic17C2311yescharacteristic
240C23×Dic17C2311yescharacteristic
241C23×Dic17C2311yescharacteristic
242C23×Dic17C2311yescharacteristic
243C23×Dic17C2311yescharacteristic
244C2×Q8×D17—44no—
245C2×Q8×D17C2318yescomplemented
246C2×#63254—28no—
247C2×#63254—44no—
248C2×#63254C2318yes—
249C2×#63254C2318yescomplemented
250C2×D4×D17—28no—
251C2×D4×D17C2318yes—
252C2×#63252—28no—
253C2×#63252—44no—
254C2×#63252C2318yes—
255C2×#63252C2318yescomplemented
256C22×D68C2311yescharacteristic
257C22×D68C2311yescharacteristic
258C22×D68C2311yescharacteristic
259C22×D68C2311yescharacteristic
260C22×C4×D17—44no—
261C22×C4×D17—44no—
262C22×C4×D17C2311yescharacteristic
263C22×C4×D17C2311yescharacteristic
264C22×C4×D17C2311yescharacteristic
265C22×C4×D17C2311yescharacteristic
266C22×C4×D17C2311yescharacteristic
267C22×C4×D17C2311yescharacteristic
268C22×C4×D17C2311yescharacteristic
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×D17C2318yes—
278C22×C4×D17C2318yes—
279C22×C4×D17C2311yescharacteristic
280C22×Dic34—44no—
281C22×Dic34C2311yescharacteristic
282C22×Dic34C2311yescharacteristic
283C22×Dic34C2311yescharacteristic
284C22×Dic34C2311yescharacteristic
285C22×Dic34C2311yescharacteristic
286C22×Dic34C2311yescharacteristic
287C22×Dic34C2311yescharacteristic
288C22×Dic34C2311yescharacteristic
289C22×Dic34C2318yescomplemented
290C17×#126C2318yescomplemented
291C17×#126C2318yescomplemented
292C17×#125C2318yescomplemented
293C17×#125C2318yescomplemented
294C17×#123C2318yes—
295C17×#123C2318yescomplemented
296C17×#123C2318yescomplemented
297C17×#123C2318yescomplemented
298C17×C22⋊Q8C2318yescomplemented
299C17×C22⋊Q8C2318yescomplemented
300C17×C22⋊Q8C2318yescomplemented
301C17×#121C2318yes—
302C4×D4×C17C2318yes—
303C4×D4×C17C2318yescomplemented
304C2×C4⋊C4×C17C2311yescharacteristic
305C2×C4⋊C4×C17C2311yescharacteristic
306C2×C4⋊C4×C17C2311yescharacteristic
307C2×C4⋊C4×C17C2311yescharacteristic
308C2×C4⋊C4×C17C2311yescharacteristic
309C2×C4⋊C4×C17C2311yescharacteristic
310C2×C4⋊C4×C17C2311yescharacteristic
311C2×C4⋊C4×C17C2311yescharacteristic
312C2×C4⋊C4×C17C2311yescharacteristic
313C2×C4⋊C4×C17C2311yescharacteristic
314C2×C4⋊C4×C17C2311yescharacteristic
315C2×C4⋊C4×C17C2311yescharacteristic
316C2×C4⋊C4×C17C2311yescharacteristic
317C2×C4⋊C4×C17C2311yescharacteristic
318C2×C4⋊C4×C17C2318yescomplemented
319C2×C22⋊C4×C17C2311yescharacteristic
320C2×C22⋊C4×C17C2311yescharacteristic
321C2×C22⋊C4×C17C2311yescharacteristic
322C2×C22⋊C4×C17C2311yescharacteristic
323C2×C22⋊C4×C17C2311yescharacteristic
324C2×C22⋊C4×C17C2311yescharacteristic
325C2×C22⋊C4×C17C2311yescharacteristic
326C2×C22⋊C4×C17C2311yescharacteristic
327C2×C22⋊C4×C17C2311yescharacteristic
328C2×C22⋊C4×C17C2311yescharacteristic
329C2×C42×C17C2311yescharacteristic
330C2×C42×C17C2311yescharacteristic
331C2×C22⋊Dic17C2311yescharacteristic
332C2×C22⋊Dic17C2311yescharacteristic
333C2×C22⋊Dic17C2311yescharacteristic
334C2×C22⋊Dic17C2311yescharacteristic
335C2×C22⋊Dic17C2311yescharacteristic
336C2×C22⋊Dic17C2311yescharacteristic
337C2×C22⋊Dic17C2311yescharacteristic
338C2×C22⋊Dic17C2311yescharacteristic
339#10587633C2318yescomplemented
340#10587632C2318yes—
341#10587630C2318yescomplemented
342#10587625C2318yes—
343#10587625C2318yes—
344#10587625C2318yescomplemented
345#10587623C2318yes—
346#10587623C2318yes—
347#10587622C2318yescomplemented
348#10587621C2318yes—
349D4×Dic17C2318yes—
350D4×Dic17C2318yescomplemented
351#10587615C2318yescomplemented
352C4×C22⋊D17C2318yes—
353C4×C22⋊D17C2318yes—
354C4×C22⋊D17C2318yes—
355C4×C22⋊D17C2318yes—
356C4×C22⋊D17C2318yescomplemented
357C4×C22⋊D17C2318yescomplemented
358C4×C22⋊D17C2318yescomplemented
359C2×#63227C2318yes—
360C2×#63227C2318yes—
361C2×#63227C2311yescharacteristic
362C2×#63227C2311yescharacteristic
363C2×#63227C2311yescharacteristic
364C2×#63227C2311yescharacteristic
365C2×#63227C2311yescharacteristic
366C2×#63227C2311yescharacteristic
367C2×#63227C2311yescharacteristic
368C2×#63227C2311yescharacteristic
369C2×#63227C2311yescharacteristic
370C2×#63227C2311yescharacteristic
371C2×#63227C2311yescharacteristic
372C2×#63227C2311yescharacteristic
373C2×#63227C2311yescharacteristic
374C2×#63227C2311yescharacteristic
375C2×#63227C2311yescharacteristic
376C2×#63227C2311yescharacteristic
377C2×#63227C2311yescharacteristic
378C2×#63227C2311yescharacteristic
379C2×#63227C2311yescharacteristic
380C2×#63227C2311yescharacteristic
381C2×#63227C2311yescharacteristic
382C2×#63227C2311yescharacteristic
383C2×#63227C2311yescharacteristic
384C2×#63227C2311yescharacteristic
385#10587612C2318yescomplemented
386C2×C4⋊Dic17C2311yescharacteristic
387C2×C4⋊Dic17C2311yescharacteristic
388C2×C4⋊Dic17C2311yescharacteristic
389C2×C4⋊Dic17C2311yescharacteristic
390C2×C4⋊Dic17C2311yescharacteristic
391C2×C4⋊Dic17C2311yescharacteristic
392C2×C4⋊Dic17C2311yescharacteristic
393C2×C4⋊Dic17C2311yescharacteristic
394#10587610C2318yescomplemented
395C2×#63225C2311yescharacteristic
396C2×#63225C2311yescharacteristic
397C2×#63225C2311yescharacteristic
398C2×#63225C2311yescharacteristic
399C2×#63225C2311yescharacteristic
400C2×#63225C2311yescharacteristic
401C2×#63225C2311yescharacteristic
402C2×#63225C2311yescharacteristic
403C2×#63225C2311yescharacteristic
404C2×#63225C2311yescharacteristic
405C2×#63225C2311yescharacteristic
406C2×#63225C2311yescharacteristic
407C2×#63225C2311yescharacteristic
408C2×#63225C2311yescharacteristic
409C2×#63225C2311yescharacteristic
410C2×#63225C2311yescharacteristic
411C2×#63225C2311yescharacteristic
412C2×#63225C2311yescharacteristic
413C2×#63225C2311yescharacteristic
414C2×#63225C2311yescharacteristic
415C2×#63225C2311yescharacteristic
416C2×#63225C2311yescharacteristic
417C2×#63225C2311yescharacteristic
418C2×#63225C2311yescharacteristic
419C2×#63225C2318yescomplemented
420C2×#63225C2318yescomplemented
421C2×#63225C2318yescomplemented
422C2×C4×Dic17C2311yescharacteristic
423C2×C4×Dic17C2311yescharacteristic
424C2×C4×Dic17C2311yescharacteristic
425C2×C4×Dic17C2311yescharacteristic
426C2×C4×Dic17C2311yescharacteristic
427C2×C4×Dic17C2311yescharacteristic
428C2×C4×Dic17C2311yescharacteristic
429C2×C4×Dic17C2311yescharacteristic
430C2×C4×Dic17C2311yescharacteristic
431C2×C4×Dic17C2311yescharacteristic
432C2×C4×Dic17C2311yescharacteristic
433C2×C4×Dic17C2311yescharacteristic
434#10587584C2318yescomplemented
435#10587584C2318yescomplemented
436#10587584C2318yescomplemented
437#10587584C2318yescomplemented
438#10587583C2318yes—
439#10587583C2318yescomplemented
440#10587583C2318yescomplemented
441#10587582C2318yes—
442#10587582C2318yes—
443#10587582C2318yes—
444#10587582C2318yes—
445#10587582C2318yes—
446#10587582C2318yes—
447#10587582C2318yes—
448#10587582C2318yescomplemented
449#10587582C2318yescomplemented
450#10587582C2318yescomplemented
451#10587582C2318yescomplemented
452#10587582C2318yescomplemented
453#10587582C2318yescomplemented
454#10587582C2318yescomplemented
455#10587582C2318yescomplemented
456#10587581C2318yes—
457#10587580C2318yes—
458#10587580C2318yes—
459#10587580C2318yes—
460#10587580C2318yescomplemented
461#10587580C2318yescomplemented
462#10587580C2318yescomplemented
463#10587579C2318yes—
464#10587579C2318yes—
465#10587579C2318yes—
466#10587579C2318yescomplemented
467#10587579C2318yescomplemented
468#10587578C2318yes—
469#10587578C2318yes—
470#10587578C2318yescomplemented
471#10587578C2318yescomplemented
472C4⋊C4×D17C2318yes—
473C4⋊C4×D17C2318yescomplemented
474C4⋊C4×D17C2318yescomplemented
475C4⋊C4×D17C2318yescomplemented
476C4⋊C4×D17C2318yescomplemented
477#10587576C2318yescomplemented
478#10587575C2318yescomplemented
479#10587575C2318yescomplemented
480#10587575C2318yescomplemented
481#10587574C2318yescomplemented
482#10587574C2318yescomplemented
483#10587574C2318yescomplemented
484#10587573C2318yescomplemented
485#10587573C2318yescomplemented
486#10587573C2318yescomplemented
487#10587573C2318yescomplemented
488#10587573C2318yescomplemented
489#10587573C2318yescomplemented
490#10587572C2318yescomplemented
491#10587572C2318yescomplemented
492#10587571C2318yes—
493#10587571C2318yes—
494#10587571C2318yescomplemented
495#10587571C2318yescomplemented
496#10587571C2318yescomplemented
497#10587570C2318yes—
498#10587570C2318yes—
499#10587570C2318yes—
500#10587570C2318yescomplemented
501#10587569C2318yes—
502#10587569C2318yescomplemented
503#10587569C2318yescomplemented
504#10587569C2318yescomplemented
505#10587568C2318yes—
506#10587568C2318yes—
507#10587567C2318yes—
508#10587567C2318yes—
509#10587567C2318yes—
510#10587567C2318yes—
511#10587567C2318yes—
512#10587567C2318yescomplemented
513#10587567C2318yescomplemented
514C22⋊C4×D17C2318yes—
515C22⋊C4×D17C2318yes—
516C22⋊C4×D17C2318yes—
517C22⋊C4×D17C2318yes—
518#10587565C2318yescomplemented
519#10587565C2318yescomplemented
520#10587565C2318yescomplemented
521#10587564C2318yescomplemented
522#10587564C2318yescomplemented
523#10587564C2318yescomplemented
524#10587564C2318yescomplemented
525#10587564C2318yescomplemented
526#10587564C2318yescomplemented
527#10587563C2318yescomplemented
528#10587563C2318yescomplemented
529#10587563C2318yescomplemented
530#10587562C2318yescomplemented
531C4×D68C2318yes—
532C4×D68C2318yes—
533#10587558C2318yescomplemented
534#10587558C2318yescomplemented
535C42×D17C2318yes—
536#10587556C2318yescomplemented
537C4×Dic34C2318yescomplemented
538C24×C17C2411yescharacteristic
539C24×C17C2411yescharacteristic
540C24×C17C2411yescharacteristic
541C23×D17—24no—
542C23×D17—24no—
543C23×D17—24no—
544C23×D17—24no—
545C23×D17—42no—
546C23×D17—42no—
547C23×D17C2411yescharacteristic
548C23×D17C2411yescharacteristic
549C23×D17C2414yes—
550C23×D17C2414yes—
551C23×D17C2411yescharacteristic
552C23×D17C2411yescharacteristic
553C2×Q8×C17—42no—
554C2×Q8×C17C2414yes—
555C2×D4×C17—24no—
556C2×D4×C17—24no—
557C2×D4×C17—42no—
558C2×D4×C17C2414yes—
559C2×D4×C17C2414yes—
560C2×D4×C17C2414yes—
561C22×C4×C17—24no—
562C22×C4×C17—42no—
563C22×C4×C17—42no—
564C22×C4×C17—42no—
565C22×C4×C17—42no—
566C22×C4×C17C2414yes—
567C22×C4×C17C2411yescharacteristic
568C22×C4×C17C2411yescharacteristic
569C22×C4×C17C2411yescharacteristic
570C22×C4×C17C2411yescharacteristic
571C22×C4×C17C2411yescharacteristic
572C22×C4×C17C2411yescharacteristic
573C22×C4×C17C2411yescharacteristic
574C22×C4×C17C2411yescharacteristic
575C22×C4×C17C2411yescharacteristic
576C22×C4×C17C2411yescharacteristic
577C22×C4×C17C2411yescharacteristic
578C22×C4×C17C2411yescharacteristic
579C22×C4×C17C2414yes—
580C22×C4×C17C2414yes—
581C22×C4×C17C2414yes—
582C22×C4×C17C2414yes—
583C2×C22⋊D17—24no—
584C2×C22⋊D17—24no—
585C2×C22⋊D17—24no—
586C2×C22⋊D17—24no—
587C2×C22⋊D17—24no—
588C2×C22⋊D17—42no—
589C2×C22⋊D17—42no—
590C2×C22⋊D17#4118yescomplemented
591C2×C22⋊D17C2414yes—
592C2×C22⋊D17C2414yes—
593C2×C22⋊D17C2414yes—
594C2×C22⋊D17C2414yes—
595C2×C22⋊D17C2414yes—
596C2×C22⋊D17C2414yes—
597C2×C22⋊D17C2414yes—
598C2×C22⋊D17C2414yes—
599C22×Dic17—24no—
600C22×Dic17—24no—
601C22×Dic17—24no—
602C22×Dic17—24no—
603C22×Dic17—42no—
604C22×Dic17—42no—
605C22×Dic17C2411yescharacteristic
606C22×Dic17C2411yescharacteristic
607C22×Dic17C2411yescharacteristic
608C22×Dic17C2411yescharacteristic
609C22×Dic17C2411yescharacteristic
610C22×Dic17C2411yescharacteristic
611C22×Dic17C2414yes—
612C22×Dic17C2411yescharacteristic
613C22×Dic17C2414yes—
614C22×Dic17C2411yescharacteristic
615C22×Dic17C2411yescharacteristic
616C22×Dic17C2414yes—
617C22×Dic17C2414yes—
618C22×Dic17C2411yescharacteristic
619C22×Dic17C2414yes—
620C22×Dic17C2414yes—
621C22×Dic17C2411yescharacteristic
622C22×Dic17C2411yescharacteristic
623Q8×D17—416no—
624#63254—232no—
625#63254—416no—
626D4×D17—232no—
627#63252—232no—
628#63252—416no—
629C2×D68—24no—
630C2×D68—24no—
631C2×D68—24no—
632C2×D68—42no—
633C2×D68C2414yes—
634C2×D68C2414yes—
635C2×D68C2414yes—
636C2×D68C2414yes—
637C2×C4×D17—24no—
638C2×C4×D17—24no—
639C2×C4×D17—24no—
640C2×C4×D17—24no—
641C2×C4×D17—24no—
642C2×C4×D17—24no—
643C2×C4×D17—24no—
644C2×C4×D17—24no—
645C2×C4×D17—416no—
646C2×C4×D17—416no—
647C2×C4×D17—42no—
648C2×C4×D17—42no—
649C2×C4×D17—42no—
650C2×C4×D17—42no—
651C2×C4×D17—42no—
652C2×C4×D17—42no—
653C2×C4×D17—42no—
654C2×C4×D17—42no—
655C2×C4×D17C2414yes—
656C2×C4×D17C2414yes—
657C2×C4×D17C2414yes—
658C2×C4×D17C2414yes—
659C2×C4×D17C2414yes—
660C2×C4×D17C2414yes—
661C2×C4×D17C2414yes—
662C2×C4×D17C2414yes—
663C2×C4×D17C2414yes—
664C2×C4×D17C2414yes—
665C2×C4×D17C2414yes—
666C2×C4×D17C2414yes—
667C2×C4×D17C2414yes—
668C2×C4×D17C2414yes—
669C2×C4×D17C2414yes—
670C2×C4×D17C2414yes—
671C2×Dic34—24no—
672C2×Dic34—24no—
673C2×Dic34—24no—
674C2×Dic34—24no—
675C2×Dic34—24no—
676C2×Dic34—416no—
677C2×Dic34—42no—
678C2×Dic34—42no—
679C2×Dic34—42no—
680C2×Dic34C2414yes—
681C2×Dic34C2414yes—
682C2×Dic34C2414yes—
683C2×Dic34C2414yes—
684C2×Dic34C2414yes—
685C2×Dic34C2414yes—
686C2×Dic34C2414yes—
687C2×Dic34C2414yes—
688C4⋊C4×C17C2414yes—
689C4⋊C4×C17C2414yes—
690C4⋊C4×C17C2414yes—
691C4⋊C4×C17C2414yes—
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—
714C22⋊Dic17C2414yes—
715C22⋊Dic17C2414yes—
716C22⋊Dic17C2414yes—
717C22⋊Dic17C2414yes—
718C22⋊Dic17C2414yes—
719C22⋊Dic17C2414yes—
720C22⋊Dic17C2414yes—
721C22⋊Dic17C2414yes—
722#63227C2414yes—
723#63227C2414yes—
724#63227C2414yes—
725#63227C2414yes—
726#63227C2414yes—
727#63227C2414yes—
728#63227C2414yes—
729#63227C2414yes—
730#63227C2414yes—
731#63227C2414yes—
732#63227C2414yes—
733#63227C2414yes—
734#63227C2414yes—
735#63227C2414yes—
736#63227C2414yes—
737#63227C2414yes—
738#63227C2414yes—
739#63227C2414yes—
740#63227C2414yes—
741#63227C2414yes—
742#63227C2414yes—
743#63227C2414yes—
744#63227C2414yes—
745#63227C2414yes—
746C4⋊Dic17C2414yes—
747C4⋊Dic17C2414yes—
748C4⋊Dic17C2414yes—
749C4⋊Dic17C2414yes—
750C4⋊Dic17C2414yes—
751C4⋊Dic17C2414yes—
752C4⋊Dic17C2414yes—
753C4⋊Dic17C2414yes—
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—
770#63225C2414yes—
771#63225C2414yes—
772#63225C2414yes—
773#63225C2414yes—
774#63225C2414yes—
775#63225C2414yes—
776#63225C2414yes—
777#63225C2414yes—
778C4×Dic17C2414yes—
779C4×Dic17C2414yes—
780C4×Dic17C2414yes—
781C4×Dic17C2414yes—
782C4×Dic17C2414yes—
783C4×Dic17C2414yes—
784C4×Dic17C2414yes—
785C4×Dic17C2414yes—
786C4×Dic17C2414yes—
787C4×Dic17C2414yes—
788C4×Dic17C2414yes—
789C4×Dic17C2414yes—
790C2×#3520—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×C17C2×#4114yes—
800C23×C17C2512yes—
801C23×C17C2512yes—
802C23×C17C2512yes—
803C23×C17C2511yescharacteristic
804C22×D17—22no—
805C22×D17—22no—
806C22×D17—22no—
807C22×D17—22no—
808C22×D17—22no—
809C22×D17—22no—
810C22×D17—28no—
811C22×D17—22no—
812C22×D17—22no—
813C22×D17—22no—
814C22×D17—22no—
815C22×D17—28no—
816C22×D17—28no—
817C22×D17—28no—
818C22×D17—44no—
819C22×D17—44no—
820C22×D17—416no—
821C22×D17—416no—
822C22×D17C2×#4114yes—
823C22×D172−1+414yes—
824C22×D17C2512yes—
825C22×D17C2512yes—
826C22×D17C2512yes—
827C22×D17C2512yes—
828Q8×C17—44no—
829D4×C17—28no—
830D4×C17—28no—
831D4×C17—44no—
832C2×C4×C17—22no—
833C2×C4×C17—22no—
834C2×C4×C17—22no—
835C2×C4×C17—22no—
836C2×C4×C17—28no—
837C2×C4×C17—22no—
838C2×C4×C17—22no—
839C2×C4×C17—22no—
840C2×C4×C17—22no—
841C2×C4×C17—22no—
842C2×C4×C17—22no—
843C2×C4×C17—22no—
844C2×C4×C17—22no—
845C2×C4×C17—44no—
846C2×C4×C17—44no—
847C2×C4×C17—44no—
848C2×C4×C17—44no—
849C2×C4×C17C2512yes—
850C2×C4×C17C2512yes—
851C2×C4×C17C2512yes—
852C2×C4×C17C2512yes—
853C2×C4×C17C2512yes—
854C2×C4×C17C2512yes—
855C2×C4×C17C2512yes—
856C2×C4×C17C2512yes—
857C2×C4×C17C2512yes—
858C2×C4×C17C2512yes—
859C2×C4×C17C2512yes—
860C2×C4×C17C2512yes—
861C22⋊D17—28no—
862C22⋊D17—28no—
863C22⋊D17—28no—
864C22⋊D17—28no—
865C22⋊D17—28no—
866C22⋊D17—44no—
867C22⋊D17—44no—
868C22⋊D17C2×#41116yescomplemented
869C2×Dic17—22no—
870C2×Dic17—22no—
871C2×Dic17—22no—
872C2×Dic17—28no—
873C2×Dic17—22no—
874C2×Dic17—22no—
875C2×Dic17—22no—
876C2×Dic17—22no—
877C2×Dic17—22no—
878C2×Dic17—22no—
879C2×Dic17—22no—
880C2×Dic17—28no—
881C2×Dic17—28no—
882C2×Dic17—28no—
883C2×Dic17—44no—
884C2×Dic17—44no—
885C2×Dic17C2×#4114yes—
886C2×Dic17H(5,𝔽2)14yes—
887C2×Dic17C2512yes—
888C2×Dic17C2512yes—
889C2×Dic17C2512yes—
890C2×Dic17C2512yes—
891C2×Dic17C2512yes—
892C2×Dic17C2512yes—
893C2×Dic17C2512yes—
894C2×Dic17C2512yes—
895C2×Dic17C2512yes—
896C2×Dic17C2512yes—
897C2×Dic17C2512yes—
898C2×Dic17C2512yes—
899D68—28no—
900D68—28no—
901D68—28no—
902D68—44no—
903C4×D17—28no—
904C4×D17—28no—
905C4×D17—28no—
906C4×D17—28no—
907C4×D17—28no—
908C4×D17—28no—
909C4×D17—28no—
910C4×D17—28no—
911C4×D17—44no—
912C4×D17—44no—
913C4×D17—44no—
914C4×D17—44no—
915C4×D17—44no—
916C4×D17—44no—
917C4×D17—44no—
918C4×D17—44no—
919Dic34—28no—
920Dic34—28no—
921Dic34—28no—
922Dic34—28no—
923Dic34—28no—
924Dic34—44no—
925Dic34—44no—
926Dic34—44no—
927#3520—1732no—
928C2×#556—171no—
929C2×#554—171no—
930C2×#554—171no—
931C2×#552—171no—
932C2×#552—171no—
933C2×#551—171no—
934C2×#551—171no—
935C2×#551—171no—
936C2×#551—171no—
937C2×D4×Q8—171no—
938C2×#548—171no—
939C2×#548—171no—
940C2×#547—171no—
941C2×#547—171no—
942C2×#546—171no—
943C2×#546—171no—
944C2×#542—171no—
945C2×#542—171no—
946C2×#539—171no—
947C2×#539—171no—
948C2×#539—171no—
949C2×#539D1711yescharacteristic, complemented
950C2×#533—171no—
951C2×#529—171no—
952C2×#525—171no—
953C2×#525—171no—
954C22×C22⋊Q8—171no—
955C22×C22⋊Q8—171no—
956C2×#520—171no—
957C2×#520—171no—
958C22×C4×D4—171no—
959C22×C17—22no—
960C22×C17—22no—
961C22×C17—28no—
962C22×C17—22no—
963C22×C17—22no—
964C22×C17—22no—
965C22×C17—22no—
966C22×C17—22no—
967C22×C17—22no—
968C22×C17—44no—
969C22×C17—44no—
970C22×C17C22×#4114yes—
971C22×C17C22×#4112yes—
972C22×C17C2×H(5,𝔽2)12yes—
973C22×C17C2×2−1+412yes—
974C22×C17C2611yescharacteristic
975C2×D17—22no—
976C2×D17—22no—
977C2×D17—22no—
978C2×D17—22no—
979C2×D17—28no—
980C2×D17—28no—
981C2×D17—22no—
982C2×D17—22no—
983C2×D17—22no—
984C2×D17—22no—
985C2×D17—22no—
986C2×D17—22no—
987C2×D17—416no—
988C2×D17—416no—
989C2×D17—44no—
990C2×D17—44no—
991C2×D17C22×#4114yes—
992C2×D17C2×2−1+414yes—
993C4×C17—22no—
994C4×C17—22no—
995C4×C17—22no—
996C4×C17—22no—
997C4×C17—22no—
998C4×C17—22no—
999C4×C17—22no—
1000C4×C17—22no—
1001C4×C17—22no—
1002C4×C17—22no—
1003C4×C17—22no—
1004C4×C17—22no—
1005Dic17—22no—
1006Dic17—22no—
1007Dic17—22no—
1008Dic17—22no—
1009Dic17—22no—
1010Dic17—22no—
1011Dic17—22no—
1012Dic17—22no—
1013Dic17—22no—
1014Dic17—22no—
1015Dic17C22×#4114yes—
1016Dic17C2×H(5,𝔽2)14yes—
1017C22×#41—171no—
1018C22×#41—171no—
1019C22×#41—171no—
1020C22×#41—171no—
1021C23×Q8—171no—
1022C23×Q8—171no—
1023C23×D4—171no—
1024C24×C4—171no—
1025C24×C4—171no—
1026#556—1716no—
1027#554—1716no—
1028#554—1716no—
1029#552—1716no—
1030#552—1716no—
1031#551—1716no—
1032#551—1716no—
1033#551—1716no—
1034#551—1716no—
1035D4×Q8—1716no—
1036#548—1716no—
1037#548—1716no—
1038#547—1716no—
1039#547—1716no—
1040#546—1716no—
1041#546—1716no—
1042#542—1716no—
1043#542—1716no—
1044#539—1716no—
1045#539—1716no—
1046#539—1716no—
1047#539C2×D17116yescomplemented
1048#533—1716no—
1049C2×C4⋊Q8—171no—
1050C2×C4⋊Q8—171no—
1051C2×C4⋊Q8—171no—
1052C2×C4⋊Q8—171no—
1053#529—1716no—
1054C2×#126—171no—
1055C2×#126—171no—
1056C2×#126—171no—
1057C2×#126—171no—
1058C2×#126—171no—
1059C2×#126—171no—
1060C2×#126—171no—
1061C2×#126—171no—
1062C2×#126C2×D1711yescharacteristic, complemented
1063C2×#126C2×D1711yescharacteristic, complemented
1064C2×#125—171no—
1065C2×#125—171no—
1066C2×#125—171no—
1067C2×#125—171no—
1068C2×#125—171no—
1069C2×#125C2×D1711yescharacteristic, complemented
1070C2×#125C2×D1711yescharacteristic, complemented
1071C2×#124—171no—
1072C2×#124—171no—
1073C2×#124—171no—
1074C2×#124—171no—
1075C2×#124—171no—
1076C2×#124—171no—
1077C2×#124—171no—
1078#525—1716no—
1079#525—1716no—
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×#123—171no—
1094C2×#123C2×D1711yescharacteristic
1095C2×#123C2×D1711yescharacteristic, complemented
1096C2×#123C2×D1711yescharacteristic, complemented
1097C2×#123C2×D1711yescharacteristic, complemented
1098C2×C22⋊Q8—171no—
1099C2×C22⋊Q8—171no—
1100C2×C22⋊Q8—1716no—
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—171no—
1114C2×C22⋊Q8—171no—
1115C2×C22⋊Q8—171no—
1116C2×C22⋊Q8—171no—
1117C2×C22⋊Q8—171no—
1118C2×C22⋊Q8—171no—
1119C2×C22⋊Q8—1716no—
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, complemented
1127C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1128C2×C22⋊Q8C2×D1711yescharacteristic, complemented
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×#121C2×D1711yescharacteristic
1138C2×#120—171no—
1139C2×#120—171no—
1140C2×#120—171no—
1141C2×#120—171no—
1142#520—1716no—
1143#520—1716no—
1144C2×C4×Q8—171no—
1145C2×C4×Q8—171no—
1146C2×C4×Q8—171no—
1147C2×C4×Q8—171no—
1148C2×C4×Q8—171no—
1149C2×C4×Q8—171no—
1150C2×C4×Q8—171no—
1151C2×C4×D4—171no—
1152C2×C4×D4—171no—
1153C2×C4×D4—171no—
1154C2×C4×D4—171no—
1155C2×C4×D4—171no—
1156C2×C4×D4—171no—
1157C2×C4×D4—171no—
1158C2×C4×D4—171no—
1159C2×C4×D4—171no—
1160C2×C4×D4—1716no—
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×D4—171no—
1173C2×C4×D4—171no—
1174C2×C4×D4—171no—
1175C2×C4×D4C2×D1711yescharacteristic
1176C2×C4×D4C2×D1711yescharacteristic, complemented
1177C2×#117—171no—
1178C2×#117—171no—
1179C2×#117—171no—
1180C2×#117—171no—
1181C2×#117—171no—
1182C2×#117—171no—
1183C2×#117—171no—
1184C2×#117—171no—
1185C2×#117—171no—
1186C2×#117—171no—
1187C22×C4⋊C4—171no—
1188C22×C4⋊C4—171no—
1189C22×C4⋊C4—171no—
1190C22×C4⋊C4—171no—
1191C22×C4⋊C4—171no—
1192C22×C4⋊C4—171no—
1193C22×C4⋊C4—171no—
1194C22×C4⋊C4—171no—
1195C22×C4⋊C4C2×D1711yescharacteristic, complemented
1196C22×C22⋊C4—171no—
1197C22×C22⋊C4—171no—
1198C22×C22⋊C4—171no—
1199C22×C22⋊C4—171no—
1200C22×C22⋊C4—171no—
1201C22×C22⋊C4—171no—
1202C22×C42—171no—
1203C2×C17—24no—
1204C2×C17—42no—
1205C2×C17—42no—
1206C2×C17#352014yescomplemented
1207C2×C17C23×#4111yescharacteristic
1208C2×C17C22×H(5,𝔽2)11yescharacteristic
1209C2×C17C22×2−1+411yescharacteristic
1210D17—24no—
1211D17—24no—
1212D17—42no—
1213D17—42no—
1214C25—171no—
1215C25—171no—
1216C2×#41—178no—
1217C2×#41—178no—
1218C2×#41—178no—
1219C2×#41—178no—
1220C2×#41—348no—
1221C2×#41—348no—
1222C2×#41—684no—
1223C2×#41—684no—
1224C22×Q8—178no—
1225C22×Q8—171no—
1226C22×Q8—171no—
1227C22×Q8—171no—
1228C22×Q8—171no—
1229C22×Q8—171no—
1230C22×Q8—171no—
1231C22×Q8—171no—
1232C22×Q8—171no—
1233C22×Q8—178no—
1234C22×Q8—684no—
1235C22×Q8—684no—
1236C22×Q8C22×D1711yescharacteristic
1237C22×D4—171no—
1238C22×D4—171no—
1239C22×D4—171no—
1240C22×D4—171no—
1241C22×D4—171no—
1242C22×D4—171no—
1243C22×D4—171no—
1244C22×D4—171no—
1245C22×D4—178no—
1246C22×D4—171no—
1247C22×D4—171no—
1248C22×D4—171no—
1249C22×D4—171no—
1250C22×D4—348no—
1251C22×D4C22×D1711yescharacteristic
1252C22×D4C22×D1711yescharacteristic
1253C22×D4C22×D1711yescharacteristic
1254C23×C4—171no—
1255C23×C4—171no—
1256C23×C4—171no—
1257C23×C4—171no—
1258C23×C4—171no—
1259C23×C4—171no—
1260C23×C4—171no—
1261C23×C4—171no—
1262C23×C4—171no—
1263C23×C4—171no—
1264C23×C4—171no—
1265C23×C4—171no—
1266C23×C4—171no—
1267C23×C4—171no—
1268C23×C4—171no—
1269C23×C4—171no—
1270C23×C4—171no—
1271C23×C4—171no—
1272C23×C4—171no—
1273C23×C4—171no—
1274C23×C4—171no—
1275C23×C4—171no—
1276C23×C4—178no—
1277C23×C4—178no—
1278C23×C4—684no—
1279C23×C4—684no—
1280C23×C4C22×D1711yescharacteristic
1281C23×C4C22×D1711yescharacteristic
1282C23×C4C22×D1711yescharacteristic
1283C23×C4C22×D1711yescharacteristic
1284C23×C4C22×D1711yescharacteristic
1285C4⋊Q8—178no—
1286C4⋊Q8—178no—
1287C4⋊Q8—178no—
1288C4⋊Q8—178no—
1289#126—178no—
1290#126—178no—
1291#126—178no—
1292#126—178no—
1293#126—178no—
1294#126—178no—
1295#126—178no—
1296#126—178no—
1297#126C22×D1718yescomplemented
1298#126C22×D1718yescomplemented
1299#125—178no—
1300#125—178no—
1301#125—178no—
1302#125—178no—
1303#125—178no—
1304#125C22×D1718yescomplemented
1305#125C22×D1718yescomplemented
1306#124—178no—
1307#124—178no—
1308#124—178no—
1309#124—178no—
1310#124—178no—
1311#124—178no—
1312#124—178no—
1313#123—178no—
1314#123—178no—
1315#123—178no—
1316#123—178no—
1317#123—178no—
1318#123—178no—
1319#123—178no—
1320#123—178no—
1321#123—178no—
1322#123—178no—
1323#123—178no—
1324#123—178no—
1325#123—178no—
1326#123—178no—
1327#123C22×D1718yes—
1328#123C22×D1718yescomplemented
1329#123C22×D1718yescomplemented
1330#123C22×D1718yescomplemented
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⋊Q8—178no—
1350C22⋊Q8—178no—
1351C22⋊Q8—178no—
1352C22⋊Q8—178no—
1353C22⋊Q8—178no—
1354C22⋊Q8—178no—
1355C22⋊Q8—178no—
1356C22⋊Q8—178no—
1357C22⋊Q8C22×D1718yescomplemented
1358C22⋊Q8C22×D1718yescomplemented
1359C22⋊Q8C22×D1718yescomplemented
1360#121—178no—
1361#121—178no—
1362#121—178no—
1363#121—178no—
1364#121—178no—
1365#121—178no—
1366#121—178no—
1367#121—178no—
1368#121C22×D1718yes—
1369#120—178no—
1370#120—178no—
1371#120—178no—
1372#120—178no—
1373C4×Q8—178no—
1374C4×Q8—178no—
1375C4×Q8—178no—
1376C4×Q8—178no—
1377C4×Q8—178no—
1378C4×Q8—178no—
1379C4×Q8—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×D4—178no—
1396C4×D4—178no—
1397C4×D4—178no—
1398C4×D4—178no—
1399C4×D4—178no—
1400C4×D4—178no—
1401C4×D4—178no—
1402C4×D4—178no—
1403C4×D4C22×D1718yes—
1404C4×D4C22×D1718yescomplemented
1405#117—178no—
1406#117—178no—
1407#117—178no—
1408#117—178no—
1409#117—178no—
1410#117—178no—
1411#117—178no—
1412#117—178no—
1413#117—178no—
1414#117—178no—
1415C2×C4⋊C4—171no—
1416C2×C4⋊C4—171no—
1417C2×C4⋊C4—171no—
1418C2×C4⋊C4—171no—
1419C2×C4⋊C4—171no—
1420C2×C4⋊C4—171no—
1421C2×C4⋊C4—171no—
1422C2×C4⋊C4—171no—
1423C2×C4⋊C4—171no—
1424C2×C4⋊C4—171no—
1425C2×C4⋊C4—171no—
1426C2×C4⋊C4—171no—
1427C2×C4⋊C4—171no—
1428C2×C4⋊C4—171no—
1429C2×C4⋊C4—171no—
1430C2×C4⋊C4—171no—
1431C2×C4⋊C4—171no—
1432C2×C4⋊C4—178no—
1433C2×C4⋊C4—178no—
1434C2×C4⋊C4—171no—
1435C2×C4⋊C4—171no—
1436C2×C4⋊C4—171no—
1437C2×C4⋊C4—178no—
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—171no—
1450C2×C4⋊C4—178no—
1451C2×C4⋊C4—178no—
1452C2×C4⋊C4—178no—
1453C2×C4⋊C4—178no—
1454C2×C4⋊C4—178no—
1455C2×C4⋊C4C22×D1711yescharacteristic
1456C2×C4⋊C4C22×D1711yescharacteristic
1457C2×C4⋊C4C22×D1711yescharacteristic
1458C2×C4⋊C4C22×D1711yescharacteristic
1459C2×C4⋊C4C22×D1711yescharacteristic
1460C2×C4⋊C4C22×D1711yescharacteristic
1461C2×C4⋊C4C22×D1711yescharacteristic
1462C2×C4⋊C4C22×D1711yescharacteristic
1463C2×C4⋊C4C22×D1711yescharacteristic
1464C2×C4⋊C4C22×D1711yescharacteristic
1465C2×C4⋊C4C22×D1711yescharacteristic
1466C2×C4⋊C4C22×D1711yescharacteristic
1467C2×C4⋊C4C22×D1711yescharacteristic
1468C2×C4⋊C4C22×D1711yescharacteristic
1469C2×C4⋊C4C22×D1718yescomplemented
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⋊C4—171no—
1488C2×C22⋊C4—171no—
1489C2×C22⋊C4—171no—
1490C2×C22⋊C4—171no—
1491C2×C22⋊C4—171no—
1492C2×C22⋊C4—178no—
1493C2×C22⋊C4—178no—
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—178no—
1505C2×C22⋊C4—178no—
1506C2×C22⋊C4—178no—
1507C2×C22⋊C4—178no—
1508C2×C22⋊C4C22×D1711yescharacteristic
1509C2×C22⋊C4C22×D1711yescharacteristic
1510C2×C22⋊C4C22×D1711yescharacteristic
1511C2×C22⋊C4C22×D1711yescharacteristic
1512C2×C22⋊C4C22×D1711yescharacteristic
1513C2×C22⋊C4C22×D1711yescharacteristic
1514C2×C22⋊C4C22×D1711yescharacteristic
1515C2×C22⋊C4C22×D1711yescharacteristic
1516C2×C22⋊C4C22×D1711yescharacteristic
1517C2×C22⋊C4C22×D1711yescharacteristic
1518C2×C42—171no—
1519C2×C42—171no—
1520C2×C42—171no—
1521C2×C42—171no—
1522C2×C42—171no—
1523C2×C42—171no—
1524C2×C42—171no—
1525C2×C42—171no—
1526C2×C42—171no—
1527C2×C42—171no—
1528C2×C42—171no—
1529C2×C42—171no—
1530C2×C42—178no—
1531C2×C42C22×D1711yescharacteristic
1532C2×C42C22×D1711yescharacteristic
1533C17C2×#352011yescharacteristic, complemented, Sylow
1534C24—171no—
1535C24—171no—
1536C24—171no—
1537C24—171no—
1538C24—174no—
1539C24—174no—
1540C24—344no—
1541C24—344no—
1542C24—344no—
1543C24—344no—
1544C24—682no—
1545C24—682no—
1546C24C23×D1711yescharacteristic
1547C24C23×D1711yescharacteristic
1548C24C23×D1711yescharacteristic
1549#41—3432no—
1550#41—3432no—
1551#41—6816no—
1552#41—6816no—
1553C2×Q8—42no—
1554C2×Q8—174no—
1555C2×Q8—174no—
1556C2×Q8—174no—
1557C2×Q8—174no—
1558C2×Q8—174no—
1559C2×Q8—174no—
1560C2×Q8—174no—
1561C2×Q8—174no—
1562C2×Q8—344no—
1563C2×Q8—344no—
1564C2×Q8—344no—
1565C2×Q8—344no—
1566C2×Q8—344no—
1567C2×Q8—682no—
1568C2×Q8—682no—
1569C2×Q8—682no—
1570C2×Q8—6816no—
1571C2×Q8—6816no—
1572C2×Q8C23×D1714yes—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—42no—
1576C2×D4—178no—
1577C2×D4—174no—
1578C2×D4—174no—
1579C2×D4—174no—
1580C2×D4—174no—
1581C2×D4—174no—
1582C2×D4—174no—
1583C2×D4—174no—
1584C2×D4—174no—
1585C2×D4—174no—
1586C2×D4—174no—
1587C2×D4—174no—
1588C2×D4—174no—
1589C2×D4—344no—
1590C2×D4—344no—
1591C2×D4—344no—
1592C2×D4—344no—
1593C2×D4—344no—
1594C2×D4—3432no—
1595C2×D4—344no—
1596C2×D4—344no—
1597C2×D4—344no—
1598C2×D4—682no—
1599C2×D4—682no—
1600C2×D4—682no—
1601C2×D4C23×D1714yes—
1602C2×D4C23×D1714yes—
1603C2×D4C23×D1714yes—
1604C22×C4—24no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—171no—
1610C22×C4—171no—
1611C22×C4—174no—
1612C22×C4—174no—
1613C22×C4—174no—
1614C22×C4—174no—
1615C22×C4—171no—
1616C22×C4—171no—
1617C22×C4—171no—
1618C22×C4—171no—
1619C22×C4—171no—
1620C22×C4—171no—
1621C22×C4—171no—
1622C22×C4—171no—
1623C22×C4—171no—
1624C22×C4—171no—
1625C22×C4—174no—
1626C22×C4—174no—
1627C22×C4—174no—
1628C22×C4—174no—
1629C22×C4—174no—
1630C22×C4—174no—
1631C22×C4—174no—
1632C22×C4—174no—
1633C22×C4—174no—
1634C22×C4—174no—
1635C22×C4—174no—
1636C22×C4—174no—
1637C22×C4—174no—
1638C22×C4—174no—
1639C22×C4—174no—
1640C22×C4—174no—
1641C22×C4—174no—
1642C22×C4—174no—
1643C22×C4—344no—
1644C22×C4—344no—
1645C22×C4—344no—
1646C22×C4—344no—
1647C22×C4—344no—
1648C22×C4—344no—
1649C22×C4—344no—
1650C22×C4—344no—
1651C22×C4—344no—
1652C22×C4—344no—
1653C22×C4—344no—
1654C22×C4—344no—
1655C22×C4—682no—
1656C22×C4—682no—
1657C22×C4—682no—
1658C22×C4—682no—
1659C22×C4—682no—
1660C22×C4—682no—
1661C22×C4—682no—
1662C22×C4—682no—
1663C22×C4—6816no—
1664C22×C4—6816no—
1665C22×C4—682no—
1666C22×C4—682no—
1667C22×C4C23×D1714yes—
1668C22×C4C23×D1711yescharacteristic
1669C22×C4C23×D1711yescharacteristic
1670C22×C4C23×D1711yescharacteristic
1671C22×C4C23×D1711yescharacteristic
1672C22×C4C23×D1711yescharacteristic
1673C22×C4C23×D1711yescharacteristic
1674C22×C4C23×D1711yescharacteristic
1675C22×C4C23×D1711yescharacteristic
1676C22×C4C23×D1711yescharacteristic
1677C22×C4C23×D1711yescharacteristic
1678C22×C4C23×D1711yescharacteristic
1679C22×C4C23×D1711yescharacteristic
1680C22×C4C23×D1714yes—
1681C22×C4C23×D1714yes—
1682C22×C4C23×D1714yes—
1683C22×C4C23×D1714yes—
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⋊C4—174no—
1699C4⋊C4—174no—
1700C4⋊C4—174no—
1701C4⋊C4—174no—
1702C4⋊C4—174no—
1703C4⋊C4—174no—
1704C4⋊C4—174no—
1705C4⋊C4—174no—
1706C4⋊C4—174no—
1707C4⋊C4—174no—
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⋊C4C23×D1714yes—
1717C4⋊C4C23×D1714yes—
1718C4⋊C4C23×D1714yes—
1719C4⋊C4C23×D1714yes—
1720C4⋊C4C23×D1714yes—
1721C4⋊C4C23×D1714yes—
1722C4⋊C4C23×D1714yes—
1723C4⋊C4C23×D1714yes—
1724C4⋊C4C23×D1714yes—
1725C4⋊C4C23×D1714yes—
1726C4⋊C4C23×D1714yes—
1727C4⋊C4C23×D1714yes—
1728C4⋊C4C23×D1714yes—
1729C4⋊C4C23×D1714yes—
1730C22⋊C4—174no—
1731C22⋊C4—174no—
1732C22⋊C4—174no—
1733C22⋊C4—174no—
1734C22⋊C4—174no—
1735C22⋊C4—174no—
1736C22⋊C4—174no—
1737C22⋊C4—174no—
1738C22⋊C4—174no—
1739C22⋊C4—174no—
1740C22⋊C4—174no—
1741C22⋊C4—174no—
1742C22⋊C4—174no—
1743C22⋊C4—174no—
1744C22⋊C4—174no—
1745C22⋊C4—174no—
1746C22⋊C4—174no—
1747C22⋊C4—174no—
1748C22⋊C4—174no—
1749C22⋊C4—174no—
1750C22⋊C4—174no—
1751C22⋊C4—174no—
1752C22⋊C4—174no—
1753C22⋊C4—174no—
1754C22⋊C4—174no—
1755C22⋊C4—174no—
1756C22⋊C4—174no—
1757C22⋊C4—174no—
1758C22⋊C4—174no—
1759C22⋊C4—174no—
1760C22⋊C4—174no—
1761C22⋊C4—174no—
1762C22⋊C4C23×D1714yes—
1763C22⋊C4C23×D1714yes—
1764C22⋊C4C23×D1714yes—
1765C22⋊C4C23×D1714yes—
1766C22⋊C4C23×D1714yes—
1767C22⋊C4C23×D1714yes—
1768C22⋊C4C23×D1714yes—
1769C22⋊C4C23×D1714yes—
1770C22⋊C4C23×D1714yes—
1771C22⋊C4C23×D1714yes—
1772C42—174no—
1773C42—174no—
1774C42—174no—
1775C42—174no—
1776C42—174no—
1777C42—174no—
1778C42—174no—
1779C42—174no—
1780C42—174no—
1781C42—174no—
1782C42—174no—
1783C42—174no—
1784C42C23×D1714yes—
1785C42C23×D1714yes—
1786C23—22no—
1787C23—22no—
1788C23—22no—
1789C23—22no—
1790C23—22no—
1791C23—22no—
1792C23—22no—
1793C23—22no—
1794C23—174no—
1795C23—174no—
1796C23—172no—
1797C23—172no—
1798C23—172no—
1799C23—172no—
1800C23—348no—
1801C23—348no—
1802C23—348no—
1803C23—342no—
1804C23—342no—
1805C23—342no—
1806C23—342no—
1807C23—342no—
1808C23—348no—
1809C23—342no—
1810C23—342no—
1811C23—342no—
1812C23—342no—
1813C23—342no—
1814C23—684no—
1815C23—684no—
1816C23—6816no—
1817C23—6816no—
1818C23#41×D1714yes—
1819C23C24×D1712yes—
1820C23C24×D1712yes—
1821C23C24×D1712yes—
1822C23C24×D1711yescharacteristic
1823Q8—44no—
1824Q8—348no—
1825Q8—348no—
1826Q8—348no—
1827Q8—348no—
1828Q8—348no—
1829Q8—684no—
1830Q8—684no—
1831Q8—684no—
1832D4—28no—
1833D4—28no—
1834D4—44no—
1835D4—1716no—
1836D4—348no—
1837D4—348no—
1838D4—348no—
1839D4—348no—
1840D4—348no—
1841D4—348no—
1842D4—348no—
1843D4—348no—
1844D4—684no—
1845D4—684no—
1846D4—684no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—28no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—44no—
1861C2×C4—44no—
1862C2×C4—44no—
1863C2×C4—44no—
1864C2×C4—174no—
1865C2×C4—174no—
1866C2×C4—172no—
1867C2×C4—172no—
1868C2×C4—172no—
1869C2×C4—172no—
1870C2×C4—172no—
1871C2×C4—172no—
1872C2×C4—172no—
1873C2×C4—172no—
1874C2×C4—172no—
1875C2×C4—172no—
1876C2×C4—172no—
1877C2×C4—172no—
1878C2×C4—348no—
1879C2×C4—348no—
1880C2×C4—348no—
1881C2×C4—348no—
1882C2×C4—348no—
1883C2×C4—348no—
1884C2×C4—348no—
1885C2×C4—348no—
1886C2×C4—348no—
1887C2×C4—348no—
1888C2×C4—348no—
1889C2×C4—342no—
1890C2×C4—342no—
1891C2×C4—342no—
1892C2×C4—348no—
1893C2×C4—342no—
1894C2×C4—342no—
1895C2×C4—342no—
1896C2×C4—342no—
1897C2×C4—342no—
1898C2×C4—342no—
1899C2×C4—342no—
1900C2×C4—684no—
1901C2×C4—684no—
1902C2×C4—684no—
1903C2×C4—684no—
1904C2×C4—684no—
1905C2×C4—684no—
1906C2×C4—684no—
1907C2×C4—684no—
1908C2×C4—684no—
1909C2×C4—684no—
1910C2×C4C24×D1712yes—
1911C2×C4C24×D1712yes—
1912C2×C4C24×D1712yes—
1913C2×C4C24×D1712yes—
1914C2×C4C24×D1712yes—
1915C2×C4C24×D1712yes—
1916C2×C4C24×D1712yes—
1917C2×C4C24×D1712yes—
1918C2×C4C24×D1712yes—
1919C2×C4C24×D1712yes—
1920C2×C4C24×D1712yes—
1921C2×C4C24×D1712yes—
1922C22—22no—
1923C22—22no—
1924C22—28no—
1925C22—22no—
1926C22—22no—
1927C22—22no—
1928C22—22no—
1929C22—22no—
1930C22—22no—
1931C22—44no—
1932C22—44no—
1933C22—174no—
1934C22—174no—
1935C22—342no—
1936C22—342no—
1937C22—342no—
1938C22—342no—
1939C22—348no—
1940C22—348no—
1941C22—342no—
1942C22—342no—
1943C22—342no—
1944C22—342no—
1945C22—342no—
1946C22—342no—
1947C22—6816no—
1948C22—6816no—
1949C22—684no—
1950C22—684no—
1951C22C2×#41×D1714yes—
1952C22C2×#41×D1712yes—
1953C22H(5,𝔽2)×D1712yes—
1954C222−1+4×D1712yes—
1955C22C25×D1711yescharacteristic
1956C4—22no—
1957C4—22no—
1958C4—22no—
1959C4—22no—
1960C4—22no—
1961C4—22no—
1962C4—22no—
1963C4—22no—
1964C4—22no—
1965C4—22no—
1966C4—22no—
1967C4—22no—
1968C4—174no—
1969C4—174no—
1970C4—342no—
1971C4—342no—
1972C4—342no—
1973C4—342no—
1974C4—342no—
1975C4—342no—
1976C4—342no—
1977C4—342no—
1978C4—342no—
1979C4—342no—
1980C2—24no—
1981C2—42no—
1982C2—42no—
1983C2—344no—
1984C2—344no—
1985C2—682no—
1986C2—682no—
1987C2#1454282514yesdirect product factor
1988C2C22×#41×D1711yescharacteristic
1989C2C2×H(5,𝔽2)×D1711yescharacteristic
1990C2C2×2−1+4×D1711yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#539C2
socleC23×C17C25
hypercenterC2×#539D17
hypocenterC17C2×#3520
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #14542825C2direct (N × H)
2. C2×#11763526C2semidirect
3. C2×#11763515C2semidirect
4. C2×#11763513C2semidirect
5. C2×#11763496C2semidirect
6. C2×#11763491C2semidirect
7. C2×#11763487C2semidirect
8. C2×#11763486C2semidirect
9. C2×#11763484C2semidirect
10. C2×#11763482C2semidirect
11. C2×#11763472C2semidirect
12. C2×#11763469C2semidirect
13. C2×#11763465C2semidirect
14. C2×#11763457C2semidirect
15. C2×#11763457C2semidirect
16. C2×#11763451C2semidirect
17. C2×#11763448C2semidirect
18. C2×#11763429C2semidirect
19. C2×#11763427C2semidirect
20. C2×#11763407C2semidirect
21. C2×#11763401C2semidirect
22. C2×#11763400C2semidirect
23. C2×#11763365C2semidirect
24. C2×#11763342C2semidirect
25. C2×#11763318C2semidirect
26. C2×#11763317C2semidirect
27. C22×#10587582C2semidirect
28. C2×C22⋊Q8×D17C2semidirect
29. C2×#11763290C2semidirect
30. C2×#11763288C2semidirect
31. C2×C4×D4×D17C2semidirect
32. C2×C17×#539C2semidirect
34. C22×#63252C22semidirect
36. C22×#63254C22semidirect
37. C23×Dic34C22semidirect
38. C22×Q8×D17C22semidirect
42. #11763526C22semidirect
43. #11763515C22semidirect
44. #11763513C22semidirect
45. #11763496C22semidirect
46. #11763491C22semidirect
47. #11763487C22semidirect
48. #11763486C22semidirect
49. #11763484C22semidirect
50. #11763482C22semidirect
51. #11763472C22semidirect
52. #11763469C22semidirect
53. #11763465C22semidirect
54. #11763457C22semidirect
55. #11763457C22semidirect
56. #11763451C22semidirect
57. #11763448C22semidirect
58. #11763429C22semidirect
59. #11763427C22semidirect
60. #11763407C22semidirect
61. #11763401C22semidirect
62. #11763400C22semidirect
63. #11763365C22semidirect
64. C2×#10587574C22semidirect
65. C2×#10587574C22semidirect
66. C2×#10587574C22semidirect
67. C2×#10587630C22semidirect
68. #11763342C22semidirect
69. C2×#10587584C22semidirect
70. C2×#10587584C22semidirect
71. C2×#10587584C22semidirect
72. C2×#10587584C22semidirect
73. C2×#10587562C22semidirect
74. C2×#10587565C22semidirect
75. C2×#10587565C22semidirect
76. C2×#10587565C22semidirect
77. C2×#10587556C22semidirect
78. C2×#10587576C22semidirect
79. C2×#10587575C22semidirect
80. C2×#10587575C22semidirect
81. C2×#10587575C22semidirect
82. C2×#10587633C22semidirect
83. C2×#10587622C22semidirect
86. C2×#10587571C22semidirect
87. C2×#10587571C22semidirect
88. C2×#10587571C22semidirect
89. #11763318C22semidirect
90. #11763317C22semidirect
94. C2×#10587580C22semidirect
95. C2×#10587580C22semidirect
96. C2×#10587580C22semidirect
97. C2×#10587572C22semidirect
98. C2×#10587572C22semidirect
99. C2×#10587615C22semidirect
101. C2×#10587569C22semidirect
102. C2×#10587569C22semidirect
103. C2×#10587569C22semidirect
106. C2×#10587583C22semidirect
107. C2×#10587583C22semidirect
108. C2×#10587610C22semidirect
116. C2×#10587582C22semidirect
117. C2×#10587582C22semidirect
118. C2×#10587582C22semidirect
119. C2×#10587582C22semidirect
120. C2×#10587582C22semidirect
121. C2×#10587582C22semidirect
122. C2×#10587582C22semidirect
123. C2×#10587582C22semidirect
124. C2×#10587582C22semidirect
125. C2×#10587564C22semidirect
126. C2×#10587564C22semidirect
127. C2×#10587564C22semidirect
128. C2×#10587564C22semidirect
129. C2×#10587564C22semidirect
130. C2×#10587564C22semidirect
132. C22⋊Q8×D17C22semidirect
137. C2×#10587570C22semidirect
140. C2×#10587625C22semidirect
145. #11763290C22semidirect
146. #11763288C22semidirect
147. C2×C4×Dic34C22semidirect
148. C2×#10587573C22semidirect
149. C2×#10587573C22semidirect
150. C2×#10587573C22semidirect
151. C2×#10587573C22semidirect
152. C2×#10587573C22semidirect
153. C2×#10587573C22semidirect
157. C2×D4×Dic17C22semidirect
161. C2×#10587579C22semidirect
162. C2×#10587579C22semidirect
167. C2×C4×C22⋊D17C22semidirect
168. C2×C4×C22⋊D17C22semidirect
169. C2×C4×C22⋊D17C22semidirect
175. C2×#10587567C22semidirect
176. C2×#10587567C22semidirect
177. C4×D4×D17C22semidirect
178. C2×#10587612C22semidirect
181. C2×#10587578C22semidirect
182. C2×#10587578C22semidirect
183. C2×#10587558C22semidirect
184. C2×#10587558C22semidirect
185. C2×#10587563C22semidirect
186. C2×#10587563C22semidirect
187. C2×#10587563C22semidirect
188. C22×#63225C22semidirect
189. C22×#63225C22semidirect
190. C22×#63225C22semidirect
192. C2×C4⋊C4×D17C22semidirect
193. C2×C4⋊C4×D17C22semidirect
194. C2×C4⋊C4×D17C22semidirect
195. C2×C4⋊C4×D17C22semidirect
203. C17×#539C22semidirect
204. C2×C17×#126C22semidirect
205. C2×C17×#126C22semidirect
206. C2×C17×#125C22semidirect
207. C2×C17×#125C22semidirect
209. C2×C17×#123C22semidirect
210. C2×C17×#123C22semidirect
211. C2×C17×#123C22semidirect
212. C2×C17×C22⋊Q8C22semidirect
213. C2×C17×C22⋊Q8C22semidirect
214. C2×C17×C22⋊Q8C22semidirect
217. C2×C4×D4×C17C22semidirect
218. C22×C4⋊C4×C17C22semidirect
245. C2×Q8×D17C23semidirect
249. C2×#63254C23semidirect
255. C2×#63252C23semidirect
289. C22×Dic34C23semidirect
290. C17×#126C23semidirect
291. C17×#126C23semidirect
292. C17×#125C23semidirect
293. C17×#125C23semidirect
295. C17×#123C23semidirect
296. C17×#123C23semidirect
297. C17×#123C23semidirect
298. C17×C22⋊Q8C23semidirect
299. C17×C22⋊Q8C23semidirect
300. C17×C22⋊Q8C23semidirect
303. C4×D4×C17C23semidirect
318. C2×C4⋊C4×C17C23semidirect
339. #10587633C23semidirect
341. #10587630C23semidirect
344. #10587625C23semidirect
347. #10587622C23semidirect
350. D4×Dic17C23semidirect
351. #10587615C23semidirect
356. C4×C22⋊D17C23semidirect
357. C4×C22⋊D17C23semidirect
358. C4×C22⋊D17C23semidirect
385. #10587612C23semidirect
394. #10587610C23semidirect
419. C2×#63225C23semidirect
420. C2×#63225C23semidirect
421. C2×#63225C23semidirect
434. #10587584C23semidirect
435. #10587584C23semidirect
436. #10587584C23semidirect
437. #10587584C23semidirect
439. #10587583C23semidirect
440. #10587583C23semidirect
448. #10587582C23semidirect
449. #10587582C23semidirect
450. #10587582C23semidirect
451. #10587582C23semidirect
452. #10587582C23semidirect
453. #10587582C23semidirect
454. #10587582C23semidirect
455. #10587582C23semidirect
460. #10587580C23semidirect
461. #10587580C23semidirect
462. #10587580C23semidirect
466. #10587579C23semidirect
467. #10587579C23semidirect
470. #10587578C23semidirect
471. #10587578C23semidirect
473. C4⋊C4×D17C23semidirect
474. C4⋊C4×D17C23semidirect
475. C4⋊C4×D17C23semidirect
476. C4⋊C4×D17C23semidirect
477. #10587576C23semidirect
478. #10587575C23semidirect
479. #10587575C23semidirect
480. #10587575C23semidirect
481. #10587574C23semidirect
482. #10587574C23semidirect
483. #10587574C23semidirect
484. #10587573C23semidirect
485. #10587573C23semidirect
486. #10587573C23semidirect
487. #10587573C23semidirect
488. #10587573C23semidirect
489. #10587573C23semidirect
490. #10587572C23semidirect
491. #10587572C23semidirect
494. #10587571C23semidirect
495. #10587571C23semidirect
496. #10587571C23semidirect
500. #10587570C23semidirect
502. #10587569C23semidirect
503. #10587569C23semidirect
504. #10587569C23semidirect
512. #10587567C23semidirect
513. #10587567C23semidirect
518. #10587565C23semidirect
519. #10587565C23semidirect
520. #10587565C23semidirect
521. #10587564C23semidirect
522. #10587564C23semidirect
523. #10587564C23semidirect
524. #10587564C23semidirect
525. #10587564C23semidirect
526. #10587564C23semidirect
527. #10587563C23semidirect
528. #10587563C23semidirect
529. #10587563C23semidirect
530. #10587562C23semidirect
533. #10587558C23semidirect
534. #10587558C23semidirect
536. #10587556C23semidirect
537. C4×Dic34C23semidirect
590. C2×C22⋊D17#41semidirect
868. C22⋊D17C2×#41semidirect
949. C2×#539D17semidirect
1047. #539C2×D17semidirect
1062. C2×#126C2×D17semidirect
1063. C2×#126C2×D17semidirect
1069. C2×#125C2×D17semidirect
1070. C2×#125C2×D17semidirect
1095. C2×#123C2×D17semidirect
1096. C2×#123C2×D17semidirect
1097. C2×#123C2×D17semidirect
1126. C2×C22⋊Q8C2×D17semidirect
1127. C2×C22⋊Q8C2×D17semidirect
1128. C2×C22⋊Q8C2×D17semidirect
1176. C2×C4×D4C2×D17semidirect
1195. C22×C4⋊C4C2×D17semidirect
1206. C2×C17#3520semidirect
1297. #126C22×D17semidirect
1298. #126C22×D17semidirect
1304. #125C22×D17semidirect
1305. #125C22×D17semidirect
1328. #123C22×D17semidirect
1329. #123C22×D17semidirect
1330. #123C22×D17semidirect
1357. C22⋊Q8C22×D17semidirect
1358. C22⋊Q8C22×D17semidirect
1359. C22⋊Q8C22×D17semidirect
1404. C4×D4C22×D17semidirect
1469. C2×C4⋊C4C22×D17semidirect
1533. C17C2×#3520semidirect
1987. C2#14542825direct (N × H)

Maximal subgroups

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

subgroupindex
#145428252
C2×#117635262
C2×#117635152
C2×#117635132
C2×#117634962
C2×#117634912
C2×#117634872
C2×#117634862
C2×#117634842
C2×#117634822
C2×#117634722
C2×#117634692
C2×#117634652
C2×#117634572
C2×#117634512
C2×#117634482
C2×#117634292
C2×#117634272
C2×#117634072
C2×#117634012
C2×#117634002
C2×#117633652
C2×#117633422
C2×#117633182
C2×#117633172
C22×#105875822
C2×C22⋊Q8×D172
C2×#117632902
C2×#117632882
C2×C4×D4×D172
C2×C17×#5392
C2×#352017