Finite Group Databasebeta

← C2×#14543093 #17941467

Subgroups — C2×#14543093 #17941467

Order 4352.

8122 conjugacy classes of subgroups.

The subgroup lattice has 2160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543093C2132yesmaximal, direct product factor
2C2×#11763555C211yesmaximal, characteristic, complemented
3C2×#11763553C211yesmaximal, characteristic, complemented
4C2×#11763550C211yesmaximal, characteristic, complemented
5C2×#11763549C211yesmaximal, characteristic, complemented
6C2×#11763522C211yesmaximal, characteristic, complemented
7C2×#11763510C211yesmaximal, characteristic, complemented
8C2×#11763492C211yesmaximal, characteristic, complemented
9C2×#11763486C211yesmaximal, characteristic, complemented
10C2×#11763480C211yesmaximal, characteristic, complemented
11C2×#11763457C211yesmaximal, characteristic, complemented
12C2×#11763454C211yesmaximal, characteristic, complemented
13C2×#11763451C211yesmaximal, characteristic, complemented
14C2×#11763449C211yesmaximal, characteristic, complemented
15C2×#11763449C211yesmaximal, characteristic, complemented
16C2×#11763441C211yesmaximal, characteristic, complemented
17C2×#11763425C211yesmaximal, characteristic, complemented
18C2×#11763414C211yesmaximal, characteristic, complemented
19C2×#11763411C211yesmaximal, characteristic, complemented
20C2×#11763411C211yesmaximal, characteristic, complemented
21C2×#11763398C211yesmaximal, characteristic, complemented
22C2×#11763392C211yesmaximal, characteristic, complemented
23C2×#11763389C211yesmaximal, characteristic, complemented
24C2×#11763378C211yesmaximal, characteristic, complemented
25C2×#11763377C211yesmaximal, characteristic, complemented
26C2×#11763374C211yesmaximal, characteristic, complemented
27C2×#11763371C211yesmaximal, characteristic, complemented
28C2×#11763370C211yesmaximal, characteristic, complemented
29C2×#11763322C211yesmaximal, characteristic, complemented
30C2×#11763318C211yesmaximal, characteristic, complemented
31C22×#10587570C211yesmaximal, characteristic, complemented
32C2×C17×#551C211yesmaximal, characteristic, complemented
33C22×#63256C2211yescharacteristic, complemented
34C22×#63252C2211yescharacteristic, complemented
35C22×#63252C2211yescharacteristic, complemented
36C22×#63252C2211yescharacteristic, complemented
37C22×#63254C2211yescharacteristic, complemented
38C23×D68C2211yescharacteristic, complemented
39C23×C22⋊D17C2211yescharacteristic
40C23×C22⋊D17C2211yescharacteristic
41C23×C22⋊D17C2211yescharacteristic, complemented
42C22×D4×D17C2211yescharacteristic
43C22×D4×D17C2211yescharacteristic, complemented
44C23×C4×D17C2211yescharacteristic, complemented
45#11763555C22116yescomplemented
46#11763553C22116yescomplemented
47#11763550C22116yescomplemented
48#11763549C22116yescomplemented
49#11763522C22116yescomplemented
50#11763510C22116yescomplemented
51#11763492C22116yescomplemented
52#11763486C22116yescomplemented
53#11763480C22116yescomplemented
54#11763457C22116yescomplemented
55#11763454C22116yescomplemented
56#11763451C22116yescomplemented
57#11763449C22116yescomplemented
58#11763449C22116yescomplemented
59#11763441C22116yescomplemented
60#11763425C22116yescomplemented
61#11763414C22116yescomplemented
62#11763411C22116yescomplemented
63#11763411C22116yescomplemented
64#11763398C22116yescomplemented
65#11763392C22116yescomplemented
66#11763389C22116yescomplemented
67#11763378C22116yescomplemented
68#11763377C22116yescomplemented
69#11763374C22116yescomplemented
70#11763371C22116yescomplemented
71#11763370C22116yescomplemented
72C2×#10587574C2211yescharacteristic, complemented
73C2×#10587560C2211yescharacteristic, complemented
74C2×#10587560C2211yescharacteristic, complemented
75C2×#10587626C2211yescharacteristic, complemented
76C2×#10587626C2211yescharacteristic, complemented
77C2×#10587626C2211yescharacteristic, complemented
78C2×#10587584C2211yescharacteristic, complemented
79C2×#10587584C2211yescharacteristic, complemented
80C2×#10587584C2211yescharacteristic, complemented
81C2×#10587562C2211yescharacteristic, complemented
82C2×#10587556C2211yescharacteristic, complemented
83C2×#10587575C2211yescharacteristic, complemented
84C2×#10587575C2211yescharacteristic, complemented
85C2×#10587633C2211yescharacteristic, complemented
86C2×#10587561C2211yescharacteristic, complemented
87C2×#10587561C2211yescharacteristic, complemented
88C2×#10587561C2211yescharacteristic, complemented
89C2×#10587571C2211yescharacteristic, complemented
90C2×#10587571C2211yescharacteristic, complemented
91C2×#10587571C2211yescharacteristic, complemented
92C2×#10587571C2211yescharacteristic, complemented
93#11763322C22116yescomplemented
94#11763318C22116yescomplemented
95C2×#10587580C2211yescharacteristic, complemented
96C2×#10587580C2211yescharacteristic, complemented
97C2×#10587580C2211yescharacteristic, complemented
98C2×#10587580C2211yescharacteristic, complemented
99C2×#10587580C2211yescharacteristic, complemented
100C2×#10587580C2211yescharacteristic, complemented
101C2×#10587580C2211yescharacteristic, complemented
102C2×#10587580C2211yescharacteristic, complemented
103C2×#10587572C2211yescharacteristic
104C2×#10587572C2211yescharacteristic, complemented
105C2×#10587572C2211yescharacteristic, complemented
106C2×#10587572C2211yescharacteristic, complemented
107C2×#10587572C2211yescharacteristic, complemented
108C2×#10587615C2211yescharacteristic
109C2×#10587615C2211yescharacteristic, complemented
110C2×#10587569C2211yescharacteristic, complemented
111C2×#10587569C2211yescharacteristic, complemented
112C2×#10587569C2211yescharacteristic, complemented
113C2×#10587569C2211yescharacteristic, complemented
114C2×#10587583C2211yescharacteristic, complemented
115C2×#10587582C2211yescharacteristic, complemented
116C2×#10587582C2211yescharacteristic, complemented
117C2×#10587582C2211yescharacteristic, complemented
118C2×#10587564C2211yescharacteristic, complemented
119C2×#10587564C2211yescharacteristic, complemented
120C2×#10587564C2211yescharacteristic, complemented
121C2×#10587632C2211yescharacteristic, complemented
122C2×#10587632C2211yescharacteristic, complemented
123C2×#10587581C2211yescharacteristic, complemented
124C2×#10587581C2211yescharacteristic, complemented
125C2×#10587581C2211yescharacteristic, complemented
126C2×#10587581C2211yescharacteristic, complemented
127C2×#10587581C2211yescharacteristic, complemented
128C2×#10587581C2211yescharacteristic, complemented
129C2×#10587581C2211yescharacteristic, complemented
130C2×#10587581C2211yescharacteristic, complemented
131C2×#10587616C2211yescharacteristic
132C2×#10587616C2211yescharacteristic, complemented
133C2×#10587616C2211yescharacteristic, complemented
134C2×#10587616C2211yescharacteristic, complemented
135C2×#10587616C2211yescharacteristic, complemented
136C2×#10587616C2211yescharacteristic, complemented
137C2×#10587616C2211yescharacteristic, complemented
138C2×#10587570C2211yescharacteristic
139C2×#10587570C2211yescharacteristic
140C2×#10587570C2211yescharacteristic, complemented
141C2×#10587570C2211yescharacteristic, complemented
142C2×#10587570C2211yescharacteristic, complemented
143C2×#10587570C2211yescharacteristic, complemented
144C2×#10587570C2211yescharacteristic, complemented
145C2×#10587570C2211yescharacteristic, complemented
146C2×#10587570C2211yescharacteristic, complemented
147C2×#10587570C2211yescharacteristic, complemented
148C2×#10587570C2211yescharacteristic, complemented
149C2×#10587570C2211yescharacteristic, complemented
150C2×#10587570C2211yescharacteristic, complemented
151C2×#10587570C2211yescharacteristic, complemented
152C2×#10587570C2211yescharacteristic, complemented
153C2×#10587570C2211yescharacteristic, complemented
154C2×#10587570C2211yescharacteristic, complemented
155C2×#10587570C2211yescharacteristic, complemented
156C2×#10587570C2211yescharacteristic, complemented
157C2×#10587570C2211yescharacteristic, complemented
158C2×#10587570C22116yescomplemented
159C2×#10587625C2211yescharacteristic
160C2×#10587625C2211yescharacteristic, complemented
161C2×#10587625C2211yescharacteristic, complemented
162C2×#10587625C2211yescharacteristic, complemented
163C2×#10587568C2211yescharacteristic
164C2×#10587568C2211yescharacteristic
165C2×#10587568C2211yescharacteristic, complemented
166C2×#10587568C2211yescharacteristic, complemented
167C2×#10587568C2211yescharacteristic, complemented
168C2×#10587568C2211yescharacteristic, complemented
169C2×#10587568C2211yescharacteristic, complemented
170C2×#10587568C2211yescharacteristic, complemented
171C2×#10587568C2211yescharacteristic, complemented
172C2×#10587568C2211yescharacteristic, complemented
173C2×#10587568C2211yescharacteristic, complemented
174C2×#10587568C2211yescharacteristic, complemented
175C2×#10587639C2211yescharacteristic, complemented
176C2×#10587623C2211yescharacteristic, complemented
177C2×#10587623C2211yescharacteristic, complemented
178C2×C4×Dic34C2211yescharacteristic, complemented
179C2×C4×D68C2211yescharacteristic, complemented
180C2×C4×D68C2211yescharacteristic, complemented
181C2×#10587579C2211yescharacteristic, complemented
182C2×#10587579C2211yescharacteristic, complemented
183C2×#10587579C2211yescharacteristic, complemented
184C2×C4×C22⋊D17C2211yescharacteristic, complemented
185C2×C4×C22⋊D17C2211yescharacteristic, complemented
186C2×C4×C22⋊D17C2211yescharacteristic, complemented
187C2×#10587567C2211yescharacteristic
188C2×#10587567C2211yescharacteristic, complemented
189C2×#10587567C2211yescharacteristic, complemented
190C2×#10587567C2211yescharacteristic, complemented
191C2×#10587567C2211yescharacteristic, complemented
192C2×#10587578C2211yescharacteristic, complemented
193C2×#10587578C2211yescharacteristic, complemented
194C2×#10587558C2211yescharacteristic, complemented
195C2×#10587558C2211yescharacteristic, complemented
196C2×#10587563C2211yescharacteristic, complemented
197C22×#63225C2211yescharacteristic, complemented
198C2×C4⋊C4×D17C2211yescharacteristic, complemented
199C22×#63227C2211yescharacteristic, complemented
200C22×#63227C2211yescharacteristic, complemented
201C2×C22⋊C4×D17C2211yescharacteristic, complemented
202C2×C22⋊C4×D17C2211yescharacteristic, complemented
203C17×#551C22116yescomplemented
204C2×C17×#126C2211yescharacteristic, complemented
205C2×C17×#126C2211yescharacteristic, complemented
206C2×C17×#124C2211yescharacteristic, complemented
207C2×C17×#123C2211yescharacteristic, complemented
208C2×C17×#123C2211yescharacteristic, complemented
209C2×C17×#123C2211yescharacteristic, complemented
210C2×C17×C22⋊Q8C2211yescharacteristic, complemented
211C2×C17×C22⋊Q8C2211yescharacteristic, complemented
212C2×C17×#120C2211yescharacteristic
213C2×C4×D4×C17C2211yescharacteristic, complemented
214C2×C4×D4×C17C2211yescharacteristic, complemented
215C2×C17×#117C2211yescharacteristic, complemented
216C2×C17×#117C2211yescharacteristic, complemented
217C22×C22⋊C4×C17C2211yescharacteristic, complemented
218C22×C22⋊C4×C17C2211yescharacteristic, complemented
219C25×C17C2311yescharacteristic
220C24×D17C2311yescharacteristic
221C24×D17C2311yescharacteristic
222C24×D17C2311yescharacteristic
223C24×D17C2311yescharacteristic
224C22×Q8×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
233C22×C22⋊D17—44no—
234C22×C22⋊D17—44no—
235C22×C22⋊D17—44no—
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
248C22×C22⋊D17C2311yescharacteristic
249C22×C22⋊D17C2311yescharacteristic
250C22×C22⋊D17C2311yescharacteristic
251C22×C22⋊D17C2311yescharacteristic
252C22×C22⋊D17C2311yescharacteristic
253C22×C22⋊D17C2311yescharacteristic
254C22×C22⋊D17C2311yescharacteristic
255C22×C22⋊D17C2311yescharacteristic
256C22×C22⋊D17C2318yes—
257C22×C22⋊D17C2318yes—
258C22×C22⋊D17C2318yescomplemented
259C23×Dic17C2311yescharacteristic
260C23×Dic17C2311yescharacteristic
261C23×Dic17C2311yescharacteristic
262C23×Dic17C2311yescharacteristic
263C2×#63256—44no—
264C2×#63256C2318yescomplemented
265C2×#63254—44no—
266C2×#63254C2318yescomplemented
267C2×D4×D17—44no—
268C2×D4×D17—44no—
269C2×D4×D17C2318yes—
270C2×D4×D17C2318yescomplemented
271C2×#63252—44no—
272C2×#63252—44no—
273C2×#63252—44no—
274C2×#63252C2318yescomplemented
275C2×#63252C2318yescomplemented
276C2×#63252C2318yescomplemented
277C22×D68—44no—
278C22×D68C2311yescharacteristic
279C22×D68C2311yescharacteristic
280C22×D68C2311yescharacteristic
281C22×D68C2311yescharacteristic
282C22×D68C2311yescharacteristic
283C22×D68C2311yescharacteristic
284C22×D68C2311yescharacteristic
285C22×D68C2311yescharacteristic
286C22×D68C2311yescharacteristic
287C22×D68C2311yescharacteristic
288C22×D68C2311yescharacteristic
289C22×D68C2311yescharacteristic
290C22×D68C2311yescharacteristic
291C22×D68C2311yescharacteristic
292C22×D68C2311yescharacteristic
293C22×D68C2311yescharacteristic
294C22×D68C2311yescharacteristic
295C22×D68C2318yescomplemented
296C22×C4×D17—44no—
297C22×C4×D17C2311yescharacteristic
298C22×C4×D17C2311yescharacteristic
299C22×C4×D17C2311yescharacteristic
300C22×C4×D17C2311yescharacteristic
301C22×C4×D17C2311yescharacteristic
302C22×C4×D17C2311yescharacteristic
303C22×C4×D17C2311yescharacteristic
304C22×C4×D17C2311yescharacteristic
305C22×C4×D17C2311yescharacteristic
306C22×C4×D17C2311yescharacteristic
307C22×C4×D17C2311yescharacteristic
308C22×C4×D17C2311yescharacteristic
309C22×C4×D17C2311yescharacteristic
310C22×C4×D17C2318yescomplemented
311C22×Dic34C2311yescharacteristic
312C22×Dic34C2311yescharacteristic
313C22×Dic34C2311yescharacteristic
314C17×#126C2318yescomplemented
315C17×#126C2318yescomplemented
316C17×#124C2318yescomplemented
317C17×#123C2318yescomplemented
318C17×#123C2318yescomplemented
319C17×#123C2318yescomplemented
320C17×C22⋊Q8C2318yescomplemented
321C17×C22⋊Q8C2318yescomplemented
322C17×#120C2318yes—
323C4×D4×C17C2318yescomplemented
324C4×D4×C17C2318yescomplemented
325C17×#117C2318yescomplemented
326C17×#117C2318yescomplemented
327C2×C4⋊C4×C17C2311yescharacteristic
328C2×C4⋊C4×C17C2311yescharacteristic
329C2×C4⋊C4×C17C2311yescharacteristic
330C2×C4⋊C4×C17C2311yescharacteristic
331C2×C4⋊C4×C17C2311yescharacteristic
332C2×C4⋊C4×C17C2311yescharacteristic
333C2×C4⋊C4×C17C2311yescharacteristic
334C2×C4⋊C4×C17C2311yescharacteristic
335C2×C22⋊C4×C17C2311yescharacteristic
336C2×C22⋊C4×C17C2311yescharacteristic
337C2×C22⋊C4×C17C2311yescharacteristic
338C2×C22⋊C4×C17C2311yescharacteristic
339C2×C22⋊C4×C17C2311yescharacteristic
340C2×C22⋊C4×C17C2311yescharacteristic
341C2×C22⋊C4×C17C2311yescharacteristic
342C2×C22⋊C4×C17C2311yescharacteristic
343C2×C22⋊C4×C17C2311yescharacteristic
344C2×C22⋊C4×C17C2311yescharacteristic
345C2×C22⋊C4×C17C2311yescharacteristic
346C2×C22⋊C4×C17C2311yescharacteristic
347C2×C22⋊C4×C17C2311yescharacteristic
348C2×C22⋊C4×C17C2311yescharacteristic
349C2×C22⋊C4×C17C2318yescomplemented
350C2×C22⋊C4×C17C2318yescomplemented
351C2×C42×C17C2311yescharacteristic
352C2×C42×C17C2311yescharacteristic
353C2×C42×C17C2311yescharacteristic
354#10587639C2318yescomplemented
355C2×C22⋊Dic17C2311yescharacteristic
356C2×C22⋊Dic17C2311yescharacteristic
357C2×C22⋊Dic17C2311yescharacteristic
358C2×C22⋊Dic17C2311yescharacteristic
359#10587633C2318yescomplemented
360#10587632C2318yescomplemented
361#10587632C2318yescomplemented
362#10587626C2318yescomplemented
363#10587626C2318yescomplemented
364#10587626C2318yescomplemented
365#10587625C2318yes—
366#10587625C2318yescomplemented
367#10587625C2318yescomplemented
368#10587625C2318yescomplemented
369#10587623C2318yescomplemented
370#10587623C2318yescomplemented
371#10587616C2318yes—
372#10587616C2318yescomplemented
373#10587616C2318yescomplemented
374#10587616C2318yescomplemented
375#10587616C2318yescomplemented
376#10587616C2318yescomplemented
377#10587616C2318yescomplemented
378#10587615C2318yes—
379#10587615C2318yescomplemented
380C4×C22⋊D17C2318yescomplemented
381C4×C22⋊D17C2318yescomplemented
382C4×C22⋊D17C2318yescomplemented
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×#63227C2311yescharacteristic
405C2×#63227C2311yescharacteristic
406C2×#63227C2311yescharacteristic
407C2×#63227C2311yescharacteristic
408C2×#63227C2311yescharacteristic
409C2×#63227C2311yescharacteristic
410C2×#63227C2311yescharacteristic
411C2×#63227C2311yescharacteristic
412C2×#63227C2311yescharacteristic
413C2×#63227C2318yescomplemented
414C2×#63227C2318yescomplemented
415C2×C4⋊Dic17C2311yescharacteristic
416C2×C4⋊Dic17C2311yescharacteristic
417C2×C4⋊Dic17C2311yescharacteristic
418C2×C4⋊Dic17C2311yescharacteristic
419C2×C4⋊Dic17C2311yescharacteristic
420C2×C4⋊Dic17C2311yescharacteristic
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×#63225C2318yescomplemented
436C2×C4×Dic17C2311yescharacteristic
437C2×C4×Dic17C2311yescharacteristic
438C2×C4×Dic17C2311yescharacteristic
439C2×C4×Dic17C2311yescharacteristic
440C2×C4×Dic17C2311yescharacteristic
441#10587584C2318yescomplemented
442#10587584C2318yescomplemented
443#10587584C2318yescomplemented
444#10587583C2318yescomplemented
445#10587582C2318yescomplemented
446#10587582C2318yescomplemented
447#10587582C2318yescomplemented
448#10587581C2318yescomplemented
449#10587581C2318yescomplemented
450#10587581C2318yescomplemented
451#10587581C2318yescomplemented
452#10587581C2318yescomplemented
453#10587581C2318yescomplemented
454#10587581C2318yescomplemented
455#10587581C2318yescomplemented
456#10587580C2318yescomplemented
457#10587580C2318yescomplemented
458#10587580C2318yescomplemented
459#10587580C2318yescomplemented
460#10587580C2318yescomplemented
461#10587580C2318yescomplemented
462#10587580C2318yescomplemented
463#10587580C2318yescomplemented
464#10587579C2318yescomplemented
465#10587579C2318yescomplemented
466#10587579C2318yescomplemented
467#10587578C2318yescomplemented
468#10587578C2318yescomplemented
469C4⋊C4×D17C2318yescomplemented
470#10587575C2318yescomplemented
471#10587575C2318yescomplemented
472#10587574C2318yescomplemented
473#10587572C2318yes—
474#10587572C2318yescomplemented
475#10587572C2318yescomplemented
476#10587572C2318yescomplemented
477#10587572C2318yescomplemented
478#10587571C2318yescomplemented
479#10587571C2318yescomplemented
480#10587571C2318yescomplemented
481#10587571C2318yescomplemented
482#10587570C2318yes—
483#10587570C2318yes—
484#10587570C2318yescomplemented
485#10587570C2318yescomplemented
486#10587570C2318yescomplemented
487#10587570C2318yescomplemented
488#10587570C2318yescomplemented
489#10587570C2318yescomplemented
490#10587570C2318yescomplemented
491#10587570C2318yescomplemented
492#10587570C2318yescomplemented
493#10587570C2318yescomplemented
494#10587570C2318yescomplemented
495#10587570C2318yescomplemented
496#10587570C2318yescomplemented
497#10587570C2318yescomplemented
498#10587570C2318yescomplemented
499#10587570C2318yescomplemented
500#10587570C2318yescomplemented
501#10587570C2318yescomplemented
502#10587569C2318yescomplemented
503#10587569C2318yescomplemented
504#10587569C2318yescomplemented
505#10587569C2318yescomplemented
506#10587568C2318yes—
507#10587568C2318yes—
508#10587568C2318yescomplemented
509#10587568C2318yescomplemented
510#10587568C2318yescomplemented
511#10587568C2318yescomplemented
512#10587568C2318yescomplemented
513#10587568C2318yescomplemented
514#10587568C2318yescomplemented
515#10587568C2318yescomplemented
516#10587568C2318yescomplemented
517#10587568C2318yescomplemented
518#10587567C2318yes—
519#10587567C2318yescomplemented
520#10587567C2318yescomplemented
521#10587567C2318yescomplemented
522#10587567C2318yescomplemented
523C22⋊C4×D17C2318yescomplemented
524C22⋊C4×D17C2318yescomplemented
525#10587564C2318yescomplemented
526#10587564C2318yescomplemented
527#10587564C2318yescomplemented
528#10587563C2318yescomplemented
529#10587562C2318yescomplemented
530#10587561C2318yescomplemented
531#10587561C2318yescomplemented
532#10587561C2318yescomplemented
533#10587560C2318yescomplemented
534#10587560C2318yescomplemented
535C4×D68C2318yescomplemented
536C4×D68C2318yescomplemented
537#10587558C2318yescomplemented
538#10587558C2318yescomplemented
539#10587556C2318yescomplemented
540C4×Dic34C2318yescomplemented
541C24×C17—24no—
542C24×C17—42no—
543C24×C17—42no—
544C24×C17C2411yescharacteristic
545C24×C17C2411yescharacteristic
546C24×C17C2411yescharacteristic
547C24×C17C2411yescharacteristic
548C24×C17C2414yes—
549C23×D17—24no—
550C23×D17—24no—
551C23×D17—42no—
552C23×D17—42no—
553C23×D17—42no—
554C23×D17—42no—
555C23×D17—42no—
556C23×D17—42no—
557C23×D17—42no—
558C23×D17—42no—
559C23×D17—42no—
560C23×D17—42no—
561C23×D17C2411yescharacteristic
562C23×D17C2411yescharacteristic
563C23×D17C2411yescharacteristic
564C23×D17C2411yescharacteristic
565C23×D17C2411yescharacteristic
566C23×D17C2411yescharacteristic
567C23×D17C2411yescharacteristic
568C23×D17C2414yes—
569C23×D17C2414yes—
570C23×D17C2414yes—
571C23×D17C2414yes—
572C2×Q8×C17—42no—
573C2×Q8×C17C2414yes—
574C2×D4×C17—24no—
575C2×D4×C17—42no—
576C2×D4×C17—42no—
577C2×D4×C17C2414yes—
578C2×D4×C17C2414yes—
579C2×D4×C17C2414yes—
580C22×C4×C17—24no—
581C22×C4×C17—42no—
582C22×C4×C17—42no—
583C22×C4×C17—42no—
584C22×C4×C17—42no—
585C22×C4×C17C2414yes—
586C22×C4×C17C2411yescharacteristic
587C22×C4×C17C2411yescharacteristic
588C22×C4×C17C2411yescharacteristic
589C22×C4×C17C2411yescharacteristic
590C22×C4×C17C2411yescharacteristic
591C22×C4×C17C2411yescharacteristic
592C22×C4×C17C2411yescharacteristic
593C22×C4×C17C2411yescharacteristic
594C22×C4×C17C2411yescharacteristic
595C22×C4×C17C2411yescharacteristic
596C22×C4×C17C2411yescharacteristic
597C22×C4×C17C2414yes—
598C22×C4×C17C2414yes—
599C22×C4×C17C2414yes—
600C22×C4×C17C2414yes—
601C2×C22⋊D17—24no—
602C2×C22⋊D17—24no—
603C2×C22⋊D17—24no—
604C2×C22⋊D17—24no—
605C2×C22⋊D17—24no—
606C2×C22⋊D17—24no—
607C2×C22⋊D17—416no—
608C2×C22⋊D17—42no—
609C2×C22⋊D17—42no—
610C2×C22⋊D17—42no—
611C2×C22⋊D17—42no—
612C2×C22⋊D17—42no—
613C2×C22⋊D17—42no—
614C2×C22⋊D17—42no—
615C2×C22⋊D17—42no—
616C2×C22⋊D17—42no—
617C2×C22⋊D17—42no—
618C2×C22⋊D17—42no—
619C2×C22⋊D17—42no—
620C2×C22⋊D17—416no—
621C2×C22⋊D17—42no—
622C2×C22⋊D17—42no—
623C2×C22⋊D17—416no—
624C2×C22⋊D17C2414yes—
625C2×C22⋊D17C2414yes—
626C2×C22⋊D17C2414yes—
627C2×C22⋊D17C2414yes—
628C2×C22⋊D17C2414yes—
629C2×C22⋊D17C2414yes—
630C2×C22⋊D17C2414yes—
631C2×C22⋊D17C2414yes—
632C2×C22⋊D17C2414yes—
633C2×C22⋊D17C2414yes—
634C2×C22⋊D17C2414yes—
635C2×C22⋊D17C2414yes—
636C2×C22⋊D17C2414yes—
637C2×C22⋊D17C2414yes—
638C2×C22⋊D17C2414yes—
639C2×C22⋊D17C2414yes—
640C2×C22⋊D17C2414yes—
641C2×C22⋊D17C2414yes—
642C2×C22⋊D17C2414yes—
643C2×C22⋊D17C2414yes—
644C22×Dic17—24no—
645C22×Dic17—24no—
646C22×Dic17—42no—
647C22×Dic17—42no—
648C22×Dic17C2411yescharacteristic
649C22×Dic17C2411yescharacteristic
650C22×Dic17C2411yescharacteristic
651C22×Dic17C2411yescharacteristic
652C22×Dic17C2411yescharacteristic
653C22×Dic17C2411yescharacteristic
654C22×Dic17C2411yescharacteristic
655C22×Dic17C2411yescharacteristic
656C22×Dic17C2414yes—
657C22×Dic17C2414yes—
658C22×Dic17C2414yes—
659C22×Dic17C2414yes—
660C22×Dic17C2411yescharacteristic
661#63256—416no—
662#63254—416no—
663D4×D17—416no—
664D4×D17—416no—
665#63252—416no—
666#63252—416no—
667#63252—416no—
668C2×D68—42no—
669C2×D68—42no—
670C2×D68—42no—
671C2×D68—42no—
672C2×D68—416no—
673C2×D68—42no—
674C2×D68—42no—
675C2×D68—42no—
676C2×D68—42no—
677C2×D68—42no—
678C2×D68—42no—
679C2×D68—42no—
680C2×D68—42no—
681C2×D68—42no—
682C2×D68—42no—
683C2×D68—42no—
684C2×D68—42no—
685C2×D68—42no—
686C2×D68C2414yes—
687C2×D68C2414yes—
688C2×D68C2414yes—
689C2×D68C2414yes—
690C2×D68C2414yes—
691C2×D68C2414yes—
692C2×D68C2414yes—
693C2×D68C2414yes—
694C2×D68C2414yes—
695C2×D68C2414yes—
696C2×D68C2414yes—
697C2×D68C2414yes—
698C2×D68C2414yes—
699C2×D68C2414yes—
700C2×D68C2414yes—
701C2×D68C2414yes—
702C2×D68C2414yes—
703C2×C4×D17—24no—
704C2×C4×D17—24no—
705C2×C4×D17—24no—
706C2×C4×D17—24no—
707C2×C4×D17—416no—
708C2×C4×D17—42no—
709C2×C4×D17—42no—
710C2×C4×D17—42no—
711C2×C4×D17—42no—
712C2×C4×D17—42no—
713C2×C4×D17—42no—
714C2×C4×D17—42no—
715C2×C4×D17—42no—
716C2×C4×D17—42no—
717C2×C4×D17C2414yes—
718C2×C4×D17C2414yes—
719C2×C4×D17C2414yes—
720C2×C4×D17C2414yes—
721C2×C4×D17C2414yes—
722C2×C4×D17C2414yes—
723C2×C4×D17C2414yes—
724C2×C4×D17C2414yes—
725C2×C4×D17C2414yes—
726C2×C4×D17C2414yes—
727C2×C4×D17C2414yes—
728C2×C4×D17C2414yes—
729C2×C4×D17C2414yes—
730C2×Dic34—24no—
731C2×Dic34—42no—
732C2×Dic34—42no—
733C2×Dic34C2414yes—
734C2×Dic34C2414yes—
735C2×Dic34C2414yes—
736C4⋊C4×C17C2414yes—
737C4⋊C4×C17C2414yes—
738C4⋊C4×C17C2414yes—
739C4⋊C4×C17C2414yes—
740C4⋊C4×C17C2414yes—
741C4⋊C4×C17C2414yes—
742C4⋊C4×C17C2414yes—
743C4⋊C4×C17C2414yes—
744C22⋊C4×C17C2414yes—
745C22⋊C4×C17C2414yes—
746C22⋊C4×C17C2414yes—
747C22⋊C4×C17C2414yes—
748C22⋊C4×C17C2414yes—
749C22⋊C4×C17C2414yes—
750C22⋊C4×C17C2414yes—
751C22⋊C4×C17C2414yes—
752C22⋊C4×C17C2414yes—
753C22⋊C4×C17C2414yes—
754C22⋊C4×C17C2414yes—
755C22⋊C4×C17C2414yes—
756C22⋊C4×C17C2414yes—
757C22⋊C4×C17C2414yes—
758C42×C17C2414yes—
759C42×C17C2414yes—
760C42×C17C2414yes—
761C22⋊Dic17C2414yes—
762C22⋊Dic17C2414yes—
763C22⋊Dic17C2414yes—
764C22⋊Dic17C2414yes—
765#63227C2414yes—
766#63227C2414yes—
767#63227C2414yes—
768#63227C2414yes—
769#63227C2414yes—
770#63227C2414yes—
771#63227C2414yes—
772#63227C2414yes—
773#63227C2414yes—
774#63227C2414yes—
775#63227C2414yes—
776#63227C2414yes—
777#63227C2414yes—
778#63227C2414yes—
779#63227C2414yes—
780#63227C2414yes—
781#63227C2414yes—
782#63227C2414yes—
783#63227C2414yes—
784#63227C2414yes—
785#63227C2414yes—
786#63227C2414yes—
787#63227C2414yes—
788#63227C2414yes—
789#63227C2414yes—
790#63227C2414yes—
791#63227C2414yes—
792#63227C2414yes—
793#63227C2414yes—
794#63227C2414yes—
795C4⋊Dic17C2414yes—
796C4⋊Dic17C2414yes—
797C4⋊Dic17C2414yes—
798C4⋊Dic17C2414yes—
799C4⋊Dic17C2414yes—
800C4⋊Dic17C2414yes—
801#63225C2414yes—
802#63225C2414yes—
803#63225C2414yes—
804#63225C2414yes—
805#63225C2414yes—
806#63225C2414yes—
807#63225C2414yes—
808#63225C2414yes—
809#63225C2414yes—
810#63225C2414yes—
811#63225C2414yes—
812#63225C2414yes—
813#63225C2414yes—
814#63225C2414yes—
815C4×Dic17C2414yes—
816C4×Dic17C2414yes—
817C4×Dic17C2414yes—
818C4×Dic17C2414yes—
819C4×Dic17C2414yes—
820C2×#3542—171nomaximal, Sylow
821C23×C17—22no—
822C23×C17—22no—
823C23×C17—22no—
824C23×C17—22no—
825C23×C17—22no—
826C23×C17—22no—
827C23×C17—22no—
828C23×C17—22no—
829C23×C17—22no—
830C23×C17—22no—
831C23×C17—22no—
832C23×C17—28no—
833C23×C17—44no—
834C23×C17—44no—
835C23×C17—88no—
836C23×C17H(5,𝔽2)14yes—
837C23×C17C2512yes—
838C23×C17C2512yes—
839C23×C17C2512yes—
840C23×C17C2512yes—
841C23×C17C2511yescharacteristic
842C22×D17—22no—
843C22×D17—22no—
844C22×D17—22no—
845C22×D17—22no—
846C22×D17—22no—
847C22×D17—22no—
848C22×D17—22no—
849C22×D17—22no—
850C22×D17—22no—
851C22×D17—22no—
852C22×D17—28no—
853C22×D17—22no—
854C22×D17—22no—
855C22×D17—22no—
856C22×D17—22no—
857C22×D17—22no—
858C22×D17—22no—
859C22×D17—22no—
860C22×D17—22no—
861C22×D17—22no—
862C22×D17—22no—
863C22×D17—22no—
864C22×D17—28no—
865C22×D17—44no—
866C22×D17—44no—
867C22×D17—44no—
868C22×D17—44no—
869C22×D17—44no—
870C22×D17—44no—
871C22×D17—44no—
872C22×D17—44no—
873C22×D17—44no—
874C22×D17—44no—
875C22×D17—416no—
876C22×D17—88no—
877C22×D17—88no—
878C22×D17—88no—
879C22×D17C2512yes—
880C22×D17C2512yes—
881C22×D17C2512yes—
882C22×D17C2512yes—
883C22×D17C2512yes—
884C22×D17C2512yes—
885C22×D17C2512yes—
886Q8×C17—44no—
887D4×C17—28no—
888D4×C17—44no—
889D4×C17—44no—
890C2×C4×C17—22no—
891C2×C4×C17—22no—
892C2×C4×C17—22no—
893C2×C4×C17—22no—
894C2×C4×C17—22no—
895C2×C4×C17—22no—
896C2×C4×C17—22no—
897C2×C4×C17—22no—
898C2×C4×C17—28no—
899C2×C4×C17—22no—
900C2×C4×C17—22no—
901C2×C4×C17—22no—
902C2×C4×C17—44no—
903C2×C4×C17—44no—
904C2×C4×C17—44no—
905C2×C4×C17—44no—
906C2×C4×C17C2512yes—
907C2×C4×C17C2512yes—
908C2×C4×C17C2512yes—
909C2×C4×C17C2512yes—
910C2×C4×C17C2512yes—
911C2×C4×C17C2512yes—
912C2×C4×C17C2512yes—
913C2×C4×C17C2512yes—
914C2×C4×C17C2512yes—
915C2×C4×C17C2512yes—
916C2×C4×C17C2512yes—
917C22⋊D17—28no—
918C22⋊D17—28no—
919C22⋊D17—28no—
920C22⋊D17—28no—
921C22⋊D17—28no—
922C22⋊D17—28no—
923C22⋊D17—44no—
924C22⋊D17—44no—
925C22⋊D17—44no—
926C22⋊D17—44no—
927C22⋊D17—44no—
928C22⋊D17—44no—
929C22⋊D17—44no—
930C22⋊D17—44no—
931C22⋊D17—44no—
932C22⋊D17—44no—
933C22⋊D17—44no—
934C22⋊D17—44no—
935C22⋊D17—44no—
936C22⋊D17—44no—
937C2×Dic17—22no—
938C2×Dic17—22no—
939C2×Dic17—22no—
940C2×Dic17—22no—
941C2×Dic17—22no—
942C2×Dic17—22no—
943C2×Dic17—22no—
944C2×Dic17—28no—
945C2×Dic17—22no—
946C2×Dic17—28no—
947C2×Dic17—44no—
948C2×Dic17—44no—
949C2×Dic17H(5,𝔽2)14yes—
950C2×Dic17C2512yes—
951C2×Dic17C2512yes—
952C2×Dic17C2512yes—
953C2×Dic17C2512yes—
954C2×Dic17C2512yes—
955C2×Dic17C2512yes—
956C2×Dic17C2512yes—
957C2×Dic17C2512yes—
958C2×Dic17C2512yes—
959D68—44no—
960D68—44no—
961D68—44no—
962D68—44no—
963D68—44no—
964D68—44no—
965D68—44no—
966D68—44no—
967D68—44no—
968D68—44no—
969D68—44no—
970D68—44no—
971D68—44no—
972D68—44no—
973D68—44no—
974D68—44no—
975D68—44no—
976C4×D17—28no—
977C4×D17—28no—
978C4×D17—28no—
979C4×D17—28no—
980C4×D17—44no—
981C4×D17—44no—
982C4×D17—44no—
983C4×D17—44no—
984C4×D17—44no—
985C4×D17—44no—
986C4×D17—44no—
987C4×D17—44no—
988C4×D17—44no—
989Dic34—28no—
990Dic34—44no—
991Dic34—44no—
992#3542—1732no—
993C2×#562—171no—
994C2×#562—171no—
995C2×#560—171no—
996C2×#560—171no—
997C2×#555—171no—
998C2×#553—171no—
999C2×#552—171no—
1000C2×#551—171no—
1001C2×#551D1711yescharacteristic, complemented
1002C2×#550—171no—
1003C2×#547—171no—
1004C2×#546—171no—
1005C2×#546—171no—
1006C2×#546—171no—
1007C2×#546—171no—
1008C2×D42—171no—
1009C2×#542—171no—
1010C2×#540—171no—
1011C2×#540—171no—
1012C2×#540—171no—
1013C2×#538—171no—
1014C2×#538—171no—
1015C2×#537—171no—
1016C2×#535—171no—
1017C2×#535—171no—
1018C2×#535—171no—
1019C2×#534—171no—
1020C2×#534—171no—
1021C2×#525—171no—
1022C2×#525—171no—
1023C22×#121—171no—
1024C22×C17—22no—
1025C22×C17—22no—
1026C22×C17—28no—
1027C22×C17—22no—
1028C22×C17—22no—
1029C22×C17—22no—
1030C22×C17—22no—
1031C22×C17—22no—
1032C22×C17—22no—
1033C22×C17—22no—
1034C22×C17—22no—
1035C22×C17—22no—
1036C22×C17—44no—
1037C22×C17—44no—
1038C22×C17—44no—
1039C22×C17—88no—
1040C22×C17C2×H(5,𝔽2)12yes—
1041C22×C17C2×H(5,𝔽2)14yes—
1042C22×C17C2×H(5,𝔽2)12yes—
1043C22×C17#58512yes—
1044C22×C17C2611yescharacteristic
1045C2×D17—22no—
1046C2×D17—22no—
1047C2×D17—22no—
1048C2×D17—22no—
1049C2×D17—22no—
1050C2×D17—22no—
1051C2×D17—22no—
1052C2×D17—22no—
1053C2×D17—22no—
1054C2×D17—22no—
1055C2×D17—22no—
1056C2×D17—22no—
1057C2×D17—22no—
1058C2×D17—22no—
1059C2×D17—22no—
1060C2×D17—22no—
1061C2×D17—22no—
1062C2×D17—22no—
1063C2×D17—22no—
1064C2×D17—22no—
1065C2×D17—22no—
1066C2×D17—416no—
1067C2×D17—44no—
1068C2×D17—44no—
1069C2×D17—44no—
1070C2×D17—44no—
1071C2×D17—44no—
1072C2×D17—44no—
1073C2×D17—44no—
1074C2×D17—88no—
1075C2×D17—88no—
1076C2×D17—88no—
1077C4×C17—22no—
1078C4×C17—22no—
1079C4×C17—22no—
1080C4×C17—22no—
1081C4×C17—22no—
1082C4×C17—22no—
1083C4×C17—22no—
1084C4×C17—22no—
1085C4×C17—22no—
1086C4×C17—22no—
1087C4×C17—22no—
1088Dic17—22no—
1089Dic17—22no—
1090Dic17—22no—
1091Dic17—22no—
1092Dic17—22no—
1093Dic17—22no—
1094Dic17—22no—
1095Dic17—22no—
1096Dic17C2×H(5,𝔽2)14yes—
1097C22×#41—171no—
1098C22×#41—171no—
1099C22×#41—171no—
1100C22×#41—171no—
1101C22×#41—171no—
1102C23×D4—171no—
1103C23×D4—171no—
1104C23×D4—171no—
1105C23×D4—171no—
1106C23×D4—171no—
1107C23×D4—171no—
1108C24×C4—171no—
1109#562—1716no—
1110#562—1716no—
1111#560—1716no—
1112#560—1716no—
1113#555—1716no—
1114#553—1716no—
1115#552—1716no—
1116#551—1716no—
1117#551C2×D17116yescomplemented
1118#550—1716no—
1119#547—1716no—
1120#546—1716no—
1121#546—1716no—
1122#546—1716no—
1123#546—1716no—
1124D42—1716no—
1125#542—1716no—
1126#540—1716no—
1127#540—1716no—
1128#540—1716no—
1129#538—1716no—
1130#538—1716no—
1131#537—1716no—
1132#535—1716no—
1133#535—1716no—
1134#535—1716no—
1135#534—1716no—
1136#534—1716no—
1137C2×C4⋊Q8—171no—
1138C2×#127—171no—
1139C2×#127—171no—
1140C2×#127—171no—
1141C2×#127—171no—
1142C2×#127—171no—
1143C2×#126—171no—
1144C2×#126—171no—
1145C2×#126—171no—
1146C2×#126—171no—
1147C2×#126C2×D1711yescharacteristic, complemented
1148C2×#126C2×D1711yescharacteristic, complemented
1149C2×#125—171no—
1150C2×#125—171no—
1151C2×#125—171no—
1152C2×#124—171no—
1153C2×#124—171no—
1154C2×#124—171no—
1155C2×#124—171no—
1156C2×#124—171no—
1157C2×#124—171no—
1158C2×#124—171no—
1159C2×#124—171no—
1160C2×#124C2×D1711yescharacteristic, complemented
1161#525—1716no—
1162#525—1716no—
1163C2×#123—171no—
1164C2×#123—171no—
1165C2×#123—171no—
1166C2×#123—171no—
1167C2×#123—171no—
1168C2×#123—171no—
1169C2×#123—171no—
1170C2×#123—171no—
1171C2×#123—171no—
1172C2×#123—171no—
1173C2×#123—171no—
1174C2×#123—171no—
1175C2×#123—171no—
1176C2×#123—171no—
1177C2×#123—171no—
1178C2×#123—171no—
1179C2×#123—171no—
1180C2×#123—171no—
1181C2×#123—171no—
1182C2×#123C2×D1711yescharacteristic, complemented
1183C2×#123C2×D1711yescharacteristic, complemented
1184C2×#123C2×D1711yescharacteristic, complemented
1185C2×C22⋊Q8—171no—
1186C2×C22⋊Q8—171no—
1187C2×C22⋊Q8—171no—
1188C2×C22⋊Q8—171no—
1189C2×C22⋊Q8—171no—
1190C2×C22⋊Q8—171no—
1191C2×C22⋊Q8—171no—
1192C2×C22⋊Q8—171no—
1193C2×C22⋊Q8—171no—
1194C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1195C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1196C2×#121—171no—
1197C2×#121—171no—
1198C2×#121—171no—
1199C2×#121—171no—
1200C2×#121—171no—
1201C2×#121—171no—
1202C2×#121—171no—
1203C2×#121—171no—
1204C2×#121—171no—
1205C2×#121—171no—
1206C2×#121—171no—
1207C2×#121—171no—
1208C2×#121—171no—
1209C2×#121—171no—
1210C2×#121—171no—
1211C2×#121—171no—
1212C2×#121—171no—
1213C2×#121—171no—
1214C2×#121—171no—
1215C2×#121—171no—
1216C2×#121—171no—
1217C2×#121—171no—
1218C2×#121—171no—
1219C2×#121—171no—
1220C2×#121—171no—
1221C2×#121—171no—
1222C2×#121—171no—
1223C2×#121—171no—
1224C2×#121—171no—
1225C2×#121—171no—
1226C2×#121—171no—
1227C2×#121—171no—
1228C2×#121—171no—
1229C2×#121—171no—
1230C2×#121—171no—
1231C2×#121—171no—
1232C2×#121—171no—
1233C2×#121—171no—
1234C2×#121—171no—
1235C2×#121—1716no—
1236C2×#120—171no—
1237C2×#120—171no—
1238C2×#120—171no—
1239C2×#120—171no—
1240C2×#120—171no—
1241C2×#120—171no—
1242C2×#120—171no—
1243C2×#120—171no—
1244C2×#120—171no—
1245C2×#120—171no—
1246C2×#120—171no—
1247C2×#120—171no—
1248C2×#120—171no—
1249C2×#120—171no—
1250C2×#120—171no—
1251C2×#120C2×D1711yescharacteristic
1252C2×C4×Q8—171no—
1253C2×C4×D4—171no—
1254C2×C4×D4—171no—
1255C2×C4×D4—171no—
1256C2×C4×D4—171no—
1257C2×C4×D4—171no—
1258C2×C4×D4—171no—
1259C2×C4×D4—171no—
1260C2×C4×D4—171no—
1261C2×C4×D4—171no—
1262C2×C4×D4—171no—
1263C2×C4×D4—171no—
1264C2×C4×D4—171no—
1265C2×C4×D4—171no—
1266C2×C4×D4C2×D1711yescharacteristic, complemented
1267C2×C4×D4C2×D1711yescharacteristic, complemented
1268C2×#117—171no—
1269C2×#117—171no—
1270C2×#117—171no—
1271C2×#117—171no—
1272C2×#117—171no—
1273C2×#117C2×D1711yescharacteristic, complemented
1274C2×#117C2×D1711yescharacteristic, complemented
1275C22×C4⋊C4—171no—
1276C22×C4⋊C4—171no—
1277C22×C22⋊C4—171no—
1278C22×C22⋊C4—171no—
1279C22×C22⋊C4—171no—
1280C22×C22⋊C4—171no—
1281C22×C22⋊C4C2×D1711yescharacteristic, complemented
1282C22×C22⋊C4C2×D1711yescharacteristic, complemented
1283C2×C17—24no—
1284C2×C17—42no—
1285C2×C17—42no—
1286C2×C17—42no—
1287C2×C17#354214yescomplemented
1288C2×C17C22×H(5,𝔽2)11yescharacteristic
1289C2×C17C22×H(5,𝔽2)11yescharacteristic
1290C2×C17C2×#58511yescharacteristic
1291D17—42no—
1292D17—42no—
1293D17—42no—
1294D17—42no—
1295D17—42no—
1296D17—42no—
1297D17—42no—
1298C25—171no—
1299C25—171no—
1300C25—171no—
1301C25—171no—
1302C25C22×D1711yescharacteristic
1303C2×#41—178no—
1304C2×#41—178no—
1305C2×#41—178no—
1306C2×#41—178no—
1307C2×#41—178no—
1308C2×#41—684no—
1309C2×#41—684no—
1310C2×#41—684no—
1311C2×#41—684no—
1312C2×#41—684no—
1313C22×Q8—171no—
1314C22×Q8—171no—
1315C22×Q8—171no—
1316C22×Q8C22×D1711yescharacteristic
1317C22×D4—171no—
1318C22×D4—171no—
1319C22×D4—171no—
1320C22×D4—171no—
1321C22×D4—171no—
1322C22×D4—171no—
1323C22×D4—171no—
1324C22×D4—171no—
1325C22×D4—171no—
1326C22×D4—171no—
1327C22×D4—171no—
1328C22×D4—171no—
1329C22×D4—171no—
1330C22×D4—171no—
1331C22×D4—171no—
1332C22×D4—171no—
1333C22×D4—171no—
1334C22×D4—171no—
1335C22×D4—171no—
1336C22×D4—171no—
1337C22×D4—178no—
1338C22×D4—178no—
1339C22×D4—178no—
1340C22×D4—178no—
1341C22×D4—178no—
1342C22×D4—171no—
1343C22×D4—171no—
1344C22×D4—171no—
1345C22×D4—171no—
1346C22×D4—171no—
1347C22×D4—171no—
1348C22×D4—171no—
1349C22×D4—171no—
1350C22×D4—171no—
1351C22×D4—171no—
1352C22×D4—171no—
1353C22×D4—171no—
1354C22×D4—171no—
1355C22×D4—171no—
1356C22×D4—171no—
1357C22×D4—171no—
1358C22×D4—171no—
1359C22×D4—178no—
1360C22×D4—684no—
1361C22×D4—684no—
1362C22×D4—684no—
1363C22×D4—684no—
1364C22×D4—684no—
1365C22×D4—684no—
1366C22×D4C22×D1711yescharacteristic
1367C22×D4C22×D1711yescharacteristic
1368C22×D4C22×D1711yescharacteristic
1369C23×C4—171no—
1370C23×C4—171no—
1371C23×C4—171no—
1372C23×C4—171no—
1373C23×C4—171no—
1374C23×C4—171no—
1375C23×C4—171no—
1376C23×C4—171no—
1377C23×C4—171no—
1378C23×C4—171no—
1379C23×C4—171no—
1380C23×C4—171no—
1381C23×C4—171no—
1382C23×C4—171no—
1383C23×C4—171no—
1384C23×C4—171no—
1385C23×C4—171no—
1386C23×C4—178no—
1387C23×C4—684no—
1388C23×C4C22×D1711yescharacteristic
1389C23×C4C22×D1711yescharacteristic
1390C23×C4C22×D1711yescharacteristic
1391C23×C4C22×D1711yescharacteristic
1392C23×C4C22×D1711yescharacteristic
1393C4⋊Q8—178no—
1394#127—178no—
1395#127—178no—
1396#127—178no—
1397#127—178no—
1398#127—178no—
1399#126—178no—
1400#126—178no—
1401#126—178no—
1402#126—178no—
1403#126C22×D1718yescomplemented
1404#126C22×D1718yescomplemented
1405#125—178no—
1406#125—178no—
1407#125—178no—
1408#124—178no—
1409#124—178no—
1410#124—178no—
1411#124—178no—
1412#124—178no—
1413#124—178no—
1414#124—178no—
1415#124—178no—
1416#124C22×D1718yescomplemented
1417#123—178no—
1418#123—178no—
1419#123—178no—
1420#123—178no—
1421#123—178no—
1422#123—178no—
1423#123—178no—
1424#123—178no—
1425#123—178no—
1426#123—178no—
1427#123—178no—
1428#123—178no—
1429#123—178no—
1430#123—178no—
1431#123—178no—
1432#123—178no—
1433#123—178no—
1434#123—178no—
1435#123—178no—
1436#123C22×D1718yescomplemented
1437#123C22×D1718yescomplemented
1438#123C22×D1718yescomplemented
1439C22⋊Q8—178no—
1440C22⋊Q8—178no—
1441C22⋊Q8—178no—
1442C22⋊Q8—178no—
1443C22⋊Q8—178no—
1444C22⋊Q8—178no—
1445C22⋊Q8—178no—
1446C22⋊Q8—178no—
1447C22⋊Q8—178no—
1448C22⋊Q8C22×D1718yescomplemented
1449C22⋊Q8C22×D1718yescomplemented
1450#121—178no—
1451#121—178no—
1452#121—178no—
1453#121—178no—
1454#121—178no—
1455#121—178no—
1456#121—178no—
1457#121—178no—
1458#121—178no—
1459#121—178no—
1460#121—178no—
1461#121—178no—
1462#121—178no—
1463#121—178no—
1464#121—178no—
1465#121—178no—
1466#121—178no—
1467#121—178no—
1468#121—178no—
1469#121—178no—
1470#121—178no—
1471#121—178no—
1472#121—178no—
1473#121—178no—
1474#121—178no—
1475#121—178no—
1476#121—178no—
1477#121—178no—
1478#121—178no—
1479#121—178no—
1480#121—178no—
1481#121—178no—
1482#121—178no—
1483#121—178no—
1484#121—178no—
1485#121—178no—
1486#121—178no—
1487#121—178no—
1488#121—178no—
1489#120—178no—
1490#120—178no—
1491#120—178no—
1492#120—178no—
1493#120—178no—
1494#120—178no—
1495#120—178no—
1496#120—178no—
1497#120—178no—
1498#120—178no—
1499#120—178no—
1500#120—178no—
1501#120—178no—
1502#120—178no—
1503#120—178no—
1504#120C22×D1718yes—
1505C4×Q8—178no—
1506C4×D4—178no—
1507C4×D4—178no—
1508C4×D4—178no—
1509C4×D4—178no—
1510C4×D4—178no—
1511C4×D4—178no—
1512C4×D4—178no—
1513C4×D4—178no—
1514C4×D4—178no—
1515C4×D4—178no—
1516C4×D4—178no—
1517C4×D4—178no—
1518C4×D4—178no—
1519C4×D4C22×D1718yescomplemented
1520C4×D4C22×D1718yescomplemented
1521#117—178no—
1522#117—178no—
1523#117—178no—
1524#117—178no—
1525#117—178no—
1526#117C22×D1718yescomplemented
1527#117C22×D1718yescomplemented
1528C2×C4⋊C4—171no—
1529C2×C4⋊C4—171no—
1530C2×C4⋊C4—171no—
1531C2×C4⋊C4—171no—
1532C2×C4⋊C4—171no—
1533C2×C4⋊C4—178no—
1534C2×C4⋊C4—171no—
1535C2×C4⋊C4—171no—
1536C2×C4⋊C4—171no—
1537C2×C4⋊C4—171no—
1538C2×C4⋊C4—171no—
1539C2×C4⋊C4—171no—
1540C2×C4⋊C4—171no—
1541C2×C4⋊C4—171no—
1542C2×C4⋊C4—171no—
1543C2×C4⋊C4—171no—
1544C2×C4⋊C4—171no—
1545C2×C4⋊C4—171no—
1546C2×C4⋊C4—171no—
1547C2×C4⋊C4—171no—
1548C2×C4⋊C4—171no—
1549C2×C4⋊C4—178no—
1550C2×C4⋊C4C22×D1711yescharacteristic
1551C2×C4⋊C4C22×D1711yescharacteristic
1552C2×C4⋊C4C22×D1711yescharacteristic
1553C2×C4⋊C4C22×D1711yescharacteristic
1554C2×C4⋊C4C22×D1711yescharacteristic
1555C2×C4⋊C4C22×D1711yescharacteristic
1556C2×C4⋊C4C22×D1711yescharacteristic
1557C2×C4⋊C4C22×D1711yescharacteristic
1558C2×C22⋊C4—171no—
1559C2×C22⋊C4—171no—
1560C2×C22⋊C4—171no—
1561C2×C22⋊C4—171no—
1562C2×C22⋊C4—171no—
1563C2×C22⋊C4—171no—
1564C2×C22⋊C4—171no—
1565C2×C22⋊C4—171no—
1566C2×C22⋊C4—171no—
1567C2×C22⋊C4—171no—
1568C2×C22⋊C4—171no—
1569C2×C22⋊C4—171no—
1570C2×C22⋊C4—171no—
1571C2×C22⋊C4—171no—
1572C2×C22⋊C4—178no—
1573C2×C22⋊C4—178no—
1574C2×C22⋊C4—171no—
1575C2×C22⋊C4—171no—
1576C2×C22⋊C4—171no—
1577C2×C22⋊C4—171no—
1578C2×C22⋊C4—171no—
1579C2×C22⋊C4—171no—
1580C2×C22⋊C4—171no—
1581C2×C22⋊C4—171no—
1582C2×C22⋊C4—171no—
1583C2×C22⋊C4—171no—
1584C2×C22⋊C4—171no—
1585C2×C22⋊C4—171no—
1586C2×C22⋊C4—171no—
1587C2×C22⋊C4—171no—
1588C2×C22⋊C4—171no—
1589C2×C22⋊C4—171no—
1590C2×C22⋊C4—171no—
1591C2×C22⋊C4—171no—
1592C2×C22⋊C4—171no—
1593C2×C22⋊C4—171no—
1594C2×C22⋊C4—178no—
1595C2×C22⋊C4—178no—
1596C2×C22⋊C4C22×D1711yescharacteristic
1597C2×C22⋊C4C22×D1711yescharacteristic
1598C2×C22⋊C4C22×D1711yescharacteristic
1599C2×C22⋊C4C22×D1711yescharacteristic
1600C2×C22⋊C4C22×D1711yescharacteristic
1601C2×C22⋊C4C22×D1711yescharacteristic
1602C2×C22⋊C4C22×D1711yescharacteristic
1603C2×C22⋊C4C22×D1711yescharacteristic
1604C2×C22⋊C4C22×D1711yescharacteristic
1605C2×C22⋊C4C22×D1711yescharacteristic
1606C2×C22⋊C4C22×D1711yescharacteristic
1607C2×C22⋊C4C22×D1711yescharacteristic
1608C2×C22⋊C4C22×D1711yescharacteristic
1609C2×C22⋊C4C22×D1711yescharacteristic
1610C2×C22⋊C4C22×D1718yescomplemented
1611C2×C22⋊C4C22×D1718yescomplemented
1612C2×C42—171no—
1613C2×C42—171no—
1614C2×C42—171no—
1615C2×C42—171no—
1616C2×C42—171no—
1617C2×C42C22×D1711yescharacteristic
1618C2×C42C22×D1711yescharacteristic
1619C2×C42C22×D1711yescharacteristic
1620C17C2×#354211yescharacteristic, complemented, Sylow
1621C24—24no—
1622C24—42no—
1623C24—42no—
1624C24—171no—
1625C24—171no—
1626C24—171no—
1627C24—171no—
1628C24—171no—
1629C24—171no—
1630C24—171no—
1631C24—174no—
1632C24—174no—
1633C24—174no—
1634C24—174no—
1635C24—344no—
1636C24—344no—
1637C24—682no—
1638C24—682no—
1639C24—682no—
1640C24—682no—
1641C24—682no—
1642C24—682no—
1643C24—682no—
1644C24—682no—
1645C24—682no—
1646C24—682no—
1647C24C23×D1711yescharacteristic
1648C24C23×D1711yescharacteristic
1649C24C23×D1711yescharacteristic
1650C24C23×D1711yescharacteristic
1651C24C23×D1714yes—
1652#41—6816no—
1653#41—6816no—
1654#41—6816no—
1655#41—6816no—
1656#41—6816no—
1657C2×Q8—42no—
1658C2×Q8—174no—
1659C2×Q8—174no—
1660C2×Q8—174no—
1661C2×Q8—344no—
1662C2×Q8—682no—
1663C2×Q8—682no—
1664C2×Q8C23×D1714yes—
1665C2×D4—24no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—174no—
1669C2×D4—174no—
1670C2×D4—174no—
1671C2×D4—174no—
1672C2×D4—174no—
1673C2×D4—174no—
1674C2×D4—174no—
1675C2×D4—174no—
1676C2×D4—174no—
1677C2×D4—174no—
1678C2×D4—174no—
1679C2×D4—174no—
1680C2×D4—174no—
1681C2×D4—174no—
1682C2×D4—174no—
1683C2×D4—174no—
1684C2×D4—174no—
1685C2×D4—174no—
1686C2×D4—174no—
1687C2×D4—174no—
1688C2×D4—174no—
1689C2×D4—174no—
1690C2×D4—174no—
1691C2×D4—174no—
1692C2×D4—174no—
1693C2×D4—174no—
1694C2×D4—174no—
1695C2×D4—174no—
1696C2×D4—174no—
1697C2×D4—174no—
1698C2×D4—174no—
1699C2×D4—174no—
1700C2×D4—174no—
1701C2×D4—174no—
1702C2×D4—174no—
1703C2×D4—174no—
1704C2×D4—174no—
1705C2×D4—344no—
1706C2×D4—344no—
1707C2×D4—344no—
1708C2×D4—344no—
1709C2×D4—344no—
1710C2×D4—344no—
1711C2×D4—682no—
1712C2×D4—682no—
1713C2×D4—682no—
1714C2×D4—682no—
1715C2×D4—682no—
1716C2×D4—682no—
1717C2×D4—682no—
1718C2×D4—682no—
1719C2×D4—682no—
1720C2×D4—682no—
1721C2×D4—6816no—
1722C2×D4—682no—
1723C2×D4—682no—
1724C2×D4—682no—
1725C2×D4—682no—
1726C2×D4—682no—
1727C2×D4—682no—
1728C2×D4—682no—
1729C2×D4—6816no—
1730C2×D4—6816no—
1731C2×D4—682no—
1732C2×D4—682no—
1733C2×D4—682no—
1734C2×D4—682no—
1735C2×D4—682no—
1736C2×D4—682no—
1737C2×D4—682no—
1738C2×D4—682no—
1739C2×D4—6816no—
1740C2×D4—682no—
1741C2×D4—682no—
1742C2×D4—682no—
1743C2×D4—682no—
1744C2×D4—682no—
1745C2×D4—682no—
1746C2×D4—6816no—
1747C2×D4—6816no—
1748C2×D4C23×D1714yes—
1749C2×D4C23×D1714yes—
1750C2×D4C23×D1714yes—
1751C22×C4—24no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—42no—
1756C22×C4—171no—
1757C22×C4—174no—
1758C22×C4—174no—
1759C22×C4—171no—
1760C22×C4—171no—
1761C22×C4—171no—
1762C22×C4—171no—
1763C22×C4—171no—
1764C22×C4—171no—
1765C22×C4—171no—
1766C22×C4—171no—
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—344no—
1783C22×C4—344no—
1784C22×C4—344no—
1785C22×C4—344no—
1786C22×C4—344no—
1787C22×C4—344no—
1788C22×C4—682no—
1789C22×C4—682no—
1790C22×C4—682no—
1791C22×C4—682no—
1792C22×C4—682no—
1793C22×C4—682no—
1794C22×C4—682no—
1795C22×C4—682no—
1796C22×C4—682no—
1797C22×C4—6816no—
1798C22×C4—682no—
1799C22×C4—682no—
1800C22×C4C23×D1714yes—
1801C22×C4C23×D1711yescharacteristic
1802C22×C4C23×D1711yescharacteristic
1803C22×C4C23×D1711yescharacteristic
1804C22×C4C23×D1711yescharacteristic
1805C22×C4C23×D1711yescharacteristic
1806C22×C4C23×D1711yescharacteristic
1807C22×C4C23×D1711yescharacteristic
1808C22×C4C23×D1711yescharacteristic
1809C22×C4C23×D1711yescharacteristic
1810C22×C4C23×D1711yescharacteristic
1811C22×C4C23×D1711yescharacteristic
1812C22×C4C23×D1714yes—
1813C22×C4C23×D1714yes—
1814C22×C4C23×D1714yes—
1815C22×C4C23×D1714yes—
1816C4⋊C4—174no—
1817C4⋊C4—174no—
1818C4⋊C4—174no—
1819C4⋊C4—174no—
1820C4⋊C4—174no—
1821C4⋊C4—174no—
1822C4⋊C4—174no—
1823C4⋊C4—174no—
1824C4⋊C4—174no—
1825C4⋊C4—174no—
1826C4⋊C4—174no—
1827C4⋊C4—174no—
1828C4⋊C4—174no—
1829C4⋊C4—174no—
1830C4⋊C4—174no—
1831C4⋊C4—174no—
1832C4⋊C4—174no—
1833C4⋊C4—174no—
1834C4⋊C4—174no—
1835C4⋊C4—174no—
1836C4⋊C4C23×D1714yes—
1837C4⋊C4C23×D1714yes—
1838C4⋊C4C23×D1714yes—
1839C4⋊C4C23×D1714yes—
1840C4⋊C4C23×D1714yes—
1841C4⋊C4C23×D1714yes—
1842C4⋊C4C23×D1714yes—
1843C4⋊C4C23×D1714yes—
1844C22⋊C4—174no—
1845C22⋊C4—174no—
1846C22⋊C4—174no—
1847C22⋊C4—174no—
1848C22⋊C4—174no—
1849C22⋊C4—174no—
1850C22⋊C4—174no—
1851C22⋊C4—174no—
1852C22⋊C4—174no—
1853C22⋊C4—174no—
1854C22⋊C4—174no—
1855C22⋊C4—174no—
1856C22⋊C4—174no—
1857C22⋊C4—174no—
1858C22⋊C4—174no—
1859C22⋊C4—174no—
1860C22⋊C4—174no—
1861C22⋊C4—174no—
1862C22⋊C4—174no—
1863C22⋊C4—174no—
1864C22⋊C4—174no—
1865C22⋊C4—174no—
1866C22⋊C4—174no—
1867C22⋊C4—174no—
1868C22⋊C4—174no—
1869C22⋊C4—174no—
1870C22⋊C4—174no—
1871C22⋊C4—174no—
1872C22⋊C4—174no—
1873C22⋊C4—174no—
1874C22⋊C4—174no—
1875C22⋊C4—174no—
1876C22⋊C4—174no—
1877C22⋊C4—174no—
1878C22⋊C4C23×D1714yes—
1879C22⋊C4C23×D1714yes—
1880C22⋊C4C23×D1714yes—
1881C22⋊C4C23×D1714yes—
1882C22⋊C4C23×D1714yes—
1883C22⋊C4C23×D1714yes—
1884C22⋊C4C23×D1714yes—
1885C22⋊C4C23×D1714yes—
1886C22⋊C4C23×D1714yes—
1887C22⋊C4C23×D1714yes—
1888C22⋊C4C23×D1714yes—
1889C22⋊C4C23×D1714yes—
1890C22⋊C4C23×D1714yes—
1891C22⋊C4C23×D1714yes—
1892C42—174no—
1893C42—174no—
1894C42—174no—
1895C42—174no—
1896C42—174no—
1897C42C23×D1714yes—
1898C42C23×D1714yes—
1899C42C23×D1714yes—
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—28no—
1912C23—44no—
1913C23—44no—
1914C23—88no—
1915C23—172no—
1916C23—172no—
1917C23—172no—
1918C23—172no—
1919C23—172no—
1920C23—172no—
1921C23—172no—
1922C23—342no—
1923C23—342no—
1924C23—342no—
1925C23—342no—
1926C23—342no—
1927C23—342no—
1928C23—342no—
1929C23—342no—
1930C23—342no—
1931C23—342no—
1932C23—342no—
1933C23—348no—
1934C23—342no—
1935C23—342no—
1936C23—342no—
1937C23—342no—
1938C23—342no—
1939C23—342no—
1940C23—342no—
1941C23—342no—
1942C23—342no—
1943C23—342no—
1944C23—348no—
1945C23—684no—
1946C23—684no—
1947C23—684no—
1948C23—684no—
1949C23—684no—
1950C23—684no—
1951C23—684no—
1952C23—684no—
1953C23—684no—
1954C23—684no—
1955C23—6816no—
1956C23—1368no—
1957C23—1368no—
1958C23—1368no—
1959C23#1058769614yes—
1960C23C24×D1712yes—
1961C23C24×D1712yes—
1962C23C24×D1712yes—
1963C23C24×D1712yes—
1964C23C24×D1711yescharacteristic
1965Q8—44no—
1966Q8—348no—
1967Q8—684no—
1968Q8—684no—
1969D4—28no—
1970D4—44no—
1971D4—44no—
1972D4—348no—
1973D4—348no—
1974D4—348no—
1975D4—348no—
1976D4—348no—
1977D4—348no—
1978D4—684no—
1979D4—684no—
1980D4—684no—
1981D4—684no—
1982D4—684no—
1983D4—684no—
1984D4—684no—
1985D4—684no—
1986D4—684no—
1987D4—684no—
1988D4—684no—
1989D4—684no—
1990D4—684no—
1991D4—684no—
1992D4—684no—
1993D4—684no—
1994D4—684no—
1995D4—684no—
1996D4—684no—
1997D4—684no—
1998D4—684no—
1999D4—684no—
2000D4—684no—
2001D4—684no—
2002D4—684no—
2003D4—684no—
2004D4—684no—
2005D4—684no—
2006D4—684no—
2007D4—684no—
2008D4—684no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—28no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—44no—
2022C2×C4—44no—
2023C2×C4—44no—
2024C2×C4—44no—
2025C2×C4—174no—
2026C2×C4—172no—
2027C2×C4—172no—
2028C2×C4—172no—
2029C2×C4—172no—
2030C2×C4—172no—
2031C2×C4—172no—
2032C2×C4—172no—
2033C2×C4—172no—
2034C2×C4—172no—
2035C2×C4—348no—
2036C2×C4—348no—
2037C2×C4—348no—
2038C2×C4—348no—
2039C2×C4—348no—
2040C2×C4—342no—
2041C2×C4—342no—
2042C2×C4—342no—
2043C2×C4—342no—
2044C2×C4—348no—
2045C2×C4—342no—
2046C2×C4—342no—
2047C2×C4—342no—
2048C2×C4—342no—
2049C2×C4—684no—
2050C2×C4—684no—
2051C2×C4—684no—
2052C2×C4—684no—
2053C2×C4—684no—
2054C2×C4—684no—
2055C2×C4—684no—
2056C2×C4—684no—
2057C2×C4—684no—
2058C2×C4—684no—
2059C2×C4—684no—
2060C2×C4C24×D1712yes—
2061C2×C4C24×D1712yes—
2062C2×C4C24×D1712yes—
2063C2×C4C24×D1712yes—
2064C2×C4C24×D1712yes—
2065C2×C4C24×D1712yes—
2066C2×C4C24×D1712yes—
2067C2×C4C24×D1712yes—
2068C2×C4C24×D1712yes—
2069C2×C4C24×D1712yes—
2070C2×C4C24×D1712yes—
2071C22—22no—
2072C22—22no—
2073C22—28no—
2074C22—22no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—44no—
2084C22—44no—
2085C22—44no—
2086C22—88no—
2087C22—342no—
2088C22—342no—
2089C22—342no—
2090C22—342no—
2091C22—342no—
2092C22—342no—
2093C22—342no—
2094C22—342no—
2095C22—342no—
2096C22—342no—
2097C22—342no—
2098C22—342no—
2099C22—342no—
2100C22—342no—
2101C22—342no—
2102C22—342no—
2103C22—342no—
2104C22—342no—
2105C22—342no—
2106C22—342no—
2107C22—342no—
2108C22—6816no—
2109C22—684no—
2110C22—684no—
2111C22—684no—
2112C22—684no—
2113C22—684no—
2114C22—684no—
2115C22—684no—
2116C22—1368no—
2117C22—1368no—
2118C22—1368no—
2119C22H(5,𝔽2)×D1712yes—
2120C22C2×#1058769614yes—
2121C22C2×#1058769612yes—
2122C22#1176364512yes—
2123C22C25×D1711yescharacteristic
2124C4—22no—
2125C4—22no—
2126C4—22no—
2127C4—22no—
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—22no—
2135C4—174no—
2136C4—342no—
2137C4—342no—
2138C4—342no—
2139C4—342no—
2140C4—342no—
2141C4—342no—
2142C4—342no—
2143C4—342no—
2144C2—24no—
2145C2—42no—
2146C2—42no—
2147C2—42no—
2148C2—682no—
2149C2—682no—
2150C2—682no—
2151C2—682no—
2152C2—682no—
2153C2—682no—
2154C2—682no—
2155C2#1454309314yesdirect product factor
2156C2C2×H(5,𝔽2)×D1711yescharacteristic
2157C2C22×#1058769611yescharacteristic
2158C2C2×#1176364511yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#551C2
socleC23×C17C25
hypercenterC2×#551D17
hypocenterC17C2×#3542
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #14543093C2direct (N × H)
2. C2×#11763555C2semidirect
3. C2×#11763553C2semidirect
4. C2×#11763550C2semidirect
5. C2×#11763549C2semidirect
6. C2×#11763522C2semidirect
7. C2×#11763510C2semidirect
8. C2×#11763492C2semidirect
9. C2×#11763486C2semidirect
10. C2×#11763480C2semidirect
11. C2×#11763457C2semidirect
12. C2×#11763454C2semidirect
13. C2×#11763451C2semidirect
14. C2×#11763449C2semidirect
15. C2×#11763449C2semidirect
16. C2×#11763441C2semidirect
17. C2×#11763425C2semidirect
18. C2×#11763414C2semidirect
19. C2×#11763411C2semidirect
20. C2×#11763411C2semidirect
21. C2×#11763398C2semidirect
22. C2×#11763392C2semidirect
23. C2×#11763389C2semidirect
24. C2×#11763378C2semidirect
25. C2×#11763377C2semidirect
26. C2×#11763374C2semidirect
27. C2×#11763371C2semidirect
28. C2×#11763370C2semidirect
29. C2×#11763322C2semidirect
30. C2×#11763318C2semidirect
31. C22×#10587570C2semidirect
32. C2×C17×#551C2semidirect
33. C22×#63256C22semidirect
34. C22×#63252C22semidirect
35. C22×#63252C22semidirect
36. C22×#63252C22semidirect
37. C22×#63254C22semidirect
38. C23×D68C22semidirect
41. C23×C22⋊D17C22semidirect
43. C22×D4×D17C22semidirect
44. C23×C4×D17C22semidirect
45. #11763555C22semidirect
46. #11763553C22semidirect
47. #11763550C22semidirect
48. #11763549C22semidirect
49. #11763522C22semidirect
50. #11763510C22semidirect
51. #11763492C22semidirect
52. #11763486C22semidirect
53. #11763480C22semidirect
54. #11763457C22semidirect
55. #11763454C22semidirect
56. #11763451C22semidirect
57. #11763449C22semidirect
58. #11763449C22semidirect
59. #11763441C22semidirect
60. #11763425C22semidirect
61. #11763414C22semidirect
62. #11763411C22semidirect
63. #11763411C22semidirect
64. #11763398C22semidirect
65. #11763392C22semidirect
66. #11763389C22semidirect
67. #11763378C22semidirect
68. #11763377C22semidirect
69. #11763374C22semidirect
70. #11763371C22semidirect
71. #11763370C22semidirect
72. C2×#10587574C22semidirect
73. C2×#10587560C22semidirect
74. C2×#10587560C22semidirect
75. C2×#10587626C22semidirect
76. C2×#10587626C22semidirect
77. C2×#10587626C22semidirect
78. C2×#10587584C22semidirect
79. C2×#10587584C22semidirect
80. C2×#10587584C22semidirect
81. C2×#10587562C22semidirect
82. C2×#10587556C22semidirect
83. C2×#10587575C22semidirect
84. C2×#10587575C22semidirect
85. C2×#10587633C22semidirect
86. C2×#10587561C22semidirect
87. C2×#10587561C22semidirect
88. C2×#10587561C22semidirect
89. C2×#10587571C22semidirect
90. C2×#10587571C22semidirect
91. C2×#10587571C22semidirect
92. C2×#10587571C22semidirect
93. #11763322C22semidirect
94. #11763318C22semidirect
95. C2×#10587580C22semidirect
96. C2×#10587580C22semidirect
97. C2×#10587580C22semidirect
98. C2×#10587580C22semidirect
99. C2×#10587580C22semidirect
100. C2×#10587580C22semidirect
101. C2×#10587580C22semidirect
102. C2×#10587580C22semidirect
104. C2×#10587572C22semidirect
105. C2×#10587572C22semidirect
106. C2×#10587572C22semidirect
107. C2×#10587572C22semidirect
109. C2×#10587615C22semidirect
110. C2×#10587569C22semidirect
111. C2×#10587569C22semidirect
112. C2×#10587569C22semidirect
113. C2×#10587569C22semidirect
114. C2×#10587583C22semidirect
115. C2×#10587582C22semidirect
116. C2×#10587582C22semidirect
117. C2×#10587582C22semidirect
118. C2×#10587564C22semidirect
119. C2×#10587564C22semidirect
120. C2×#10587564C22semidirect
121. C2×#10587632C22semidirect
122. C2×#10587632C22semidirect
123. C2×#10587581C22semidirect
124. C2×#10587581C22semidirect
125. C2×#10587581C22semidirect
126. C2×#10587581C22semidirect
127. C2×#10587581C22semidirect
128. C2×#10587581C22semidirect
129. C2×#10587581C22semidirect
130. C2×#10587581C22semidirect
132. C2×#10587616C22semidirect
133. C2×#10587616C22semidirect
134. C2×#10587616C22semidirect
135. C2×#10587616C22semidirect
136. C2×#10587616C22semidirect
137. C2×#10587616C22semidirect
140. C2×#10587570C22semidirect
141. C2×#10587570C22semidirect
142. C2×#10587570C22semidirect
143. C2×#10587570C22semidirect
144. C2×#10587570C22semidirect
145. C2×#10587570C22semidirect
146. C2×#10587570C22semidirect
147. C2×#10587570C22semidirect
148. C2×#10587570C22semidirect
149. C2×#10587570C22semidirect
150. C2×#10587570C22semidirect
151. C2×#10587570C22semidirect
152. C2×#10587570C22semidirect
153. C2×#10587570C22semidirect
154. C2×#10587570C22semidirect
155. C2×#10587570C22semidirect
156. C2×#10587570C22semidirect
157. C2×#10587570C22semidirect
158. C2×#10587570C22semidirect
160. C2×#10587625C22semidirect
161. C2×#10587625C22semidirect
162. C2×#10587625C22semidirect
165. C2×#10587568C22semidirect
166. C2×#10587568C22semidirect
167. C2×#10587568C22semidirect
168. C2×#10587568C22semidirect
169. C2×#10587568C22semidirect
170. C2×#10587568C22semidirect
171. C2×#10587568C22semidirect
172. C2×#10587568C22semidirect
173. C2×#10587568C22semidirect
174. C2×#10587568C22semidirect
175. C2×#10587639C22semidirect
176. C2×#10587623C22semidirect
177. C2×#10587623C22semidirect
178. C2×C4×Dic34C22semidirect
179. C2×C4×D68C22semidirect
180. C2×C4×D68C22semidirect
181. C2×#10587579C22semidirect
182. C2×#10587579C22semidirect
183. C2×#10587579C22semidirect
184. C2×C4×C22⋊D17C22semidirect
185. C2×C4×C22⋊D17C22semidirect
186. C2×C4×C22⋊D17C22semidirect
188. C2×#10587567C22semidirect
189. C2×#10587567C22semidirect
190. C2×#10587567C22semidirect
191. C2×#10587567C22semidirect
192. C2×#10587578C22semidirect
193. C2×#10587578C22semidirect
194. C2×#10587558C22semidirect
195. C2×#10587558C22semidirect
196. C2×#10587563C22semidirect
197. C22×#63225C22semidirect
198. C2×C4⋊C4×D17C22semidirect
199. C22×#63227C22semidirect
200. C22×#63227C22semidirect
201. C2×C22⋊C4×D17C22semidirect
202. C2×C22⋊C4×D17C22semidirect
203. C17×#551C22semidirect
204. C2×C17×#126C22semidirect
205. C2×C17×#126C22semidirect
206. C2×C17×#124C22semidirect
207. C2×C17×#123C22semidirect
208. C2×C17×#123C22semidirect
209. C2×C17×#123C22semidirect
210. C2×C17×C22⋊Q8C22semidirect
211. C2×C17×C22⋊Q8C22semidirect
213. C2×C4×D4×C17C22semidirect
214. C2×C4×D4×C17C22semidirect
215. C2×C17×#117C22semidirect
216. C2×C17×#117C22semidirect
217. C22×C22⋊C4×C17C22semidirect
218. C22×C22⋊C4×C17C22semidirect
258. C22×C22⋊D17C23semidirect
264. C2×#63256C23semidirect
266. C2×#63254C23semidirect
270. C2×D4×D17C23semidirect
274. C2×#63252C23semidirect
275. C2×#63252C23semidirect
276. C2×#63252C23semidirect
295. C22×D68C23semidirect
310. C22×C4×D17C23semidirect
314. C17×#126C23semidirect
315. C17×#126C23semidirect
316. C17×#124C23semidirect
317. C17×#123C23semidirect
318. C17×#123C23semidirect
319. C17×#123C23semidirect
320. C17×C22⋊Q8C23semidirect
321. C17×C22⋊Q8C23semidirect
323. C4×D4×C17C23semidirect
324. C4×D4×C17C23semidirect
325. C17×#117C23semidirect
326. C17×#117C23semidirect
349. C2×C22⋊C4×C17C23semidirect
350. C2×C22⋊C4×C17C23semidirect
354. #10587639C23semidirect
359. #10587633C23semidirect
360. #10587632C23semidirect
361. #10587632C23semidirect
362. #10587626C23semidirect
363. #10587626C23semidirect
364. #10587626C23semidirect
366. #10587625C23semidirect
367. #10587625C23semidirect
368. #10587625C23semidirect
369. #10587623C23semidirect
370. #10587623C23semidirect
372. #10587616C23semidirect
373. #10587616C23semidirect
374. #10587616C23semidirect
375. #10587616C23semidirect
376. #10587616C23semidirect
377. #10587616C23semidirect
379. #10587615C23semidirect
380. C4×C22⋊D17C23semidirect
381. C4×C22⋊D17C23semidirect
382. C4×C22⋊D17C23semidirect
413. C2×#63227C23semidirect
414. C2×#63227C23semidirect
435. C2×#63225C23semidirect
441. #10587584C23semidirect
442. #10587584C23semidirect
443. #10587584C23semidirect
444. #10587583C23semidirect
445. #10587582C23semidirect
446. #10587582C23semidirect
447. #10587582C23semidirect
448. #10587581C23semidirect
449. #10587581C23semidirect
450. #10587581C23semidirect
451. #10587581C23semidirect
452. #10587581C23semidirect
453. #10587581C23semidirect
454. #10587581C23semidirect
455. #10587581C23semidirect
456. #10587580C23semidirect
457. #10587580C23semidirect
458. #10587580C23semidirect
459. #10587580C23semidirect
460. #10587580C23semidirect
461. #10587580C23semidirect
462. #10587580C23semidirect
463. #10587580C23semidirect
464. #10587579C23semidirect
465. #10587579C23semidirect
466. #10587579C23semidirect
467. #10587578C23semidirect
468. #10587578C23semidirect
469. C4⋊C4×D17C23semidirect
470. #10587575C23semidirect
471. #10587575C23semidirect
472. #10587574C23semidirect
474. #10587572C23semidirect
475. #10587572C23semidirect
476. #10587572C23semidirect
477. #10587572C23semidirect
478. #10587571C23semidirect
479. #10587571C23semidirect
480. #10587571C23semidirect
481. #10587571C23semidirect
484. #10587570C23semidirect
485. #10587570C23semidirect
486. #10587570C23semidirect
487. #10587570C23semidirect
488. #10587570C23semidirect
489. #10587570C23semidirect
490. #10587570C23semidirect
491. #10587570C23semidirect
492. #10587570C23semidirect
493. #10587570C23semidirect
494. #10587570C23semidirect
495. #10587570C23semidirect
496. #10587570C23semidirect
497. #10587570C23semidirect
498. #10587570C23semidirect
499. #10587570C23semidirect
500. #10587570C23semidirect
501. #10587570C23semidirect
502. #10587569C23semidirect
503. #10587569C23semidirect
504. #10587569C23semidirect
505. #10587569C23semidirect
508. #10587568C23semidirect
509. #10587568C23semidirect
510. #10587568C23semidirect
511. #10587568C23semidirect
512. #10587568C23semidirect
513. #10587568C23semidirect
514. #10587568C23semidirect
515. #10587568C23semidirect
516. #10587568C23semidirect
517. #10587568C23semidirect
519. #10587567C23semidirect
520. #10587567C23semidirect
521. #10587567C23semidirect
522. #10587567C23semidirect
523. C22⋊C4×D17C23semidirect
524. C22⋊C4×D17C23semidirect
525. #10587564C23semidirect
526. #10587564C23semidirect
527. #10587564C23semidirect
528. #10587563C23semidirect
529. #10587562C23semidirect
530. #10587561C23semidirect
531. #10587561C23semidirect
532. #10587561C23semidirect
533. #10587560C23semidirect
534. #10587560C23semidirect
535. C4×D68C23semidirect
536. C4×D68C23semidirect
537. #10587558C23semidirect
538. #10587558C23semidirect
539. #10587556C23semidirect
540. C4×Dic34C23semidirect
1001. C2×#551D17semidirect
1117. #551C2×D17semidirect
1147. C2×#126C2×D17semidirect
1148. C2×#126C2×D17semidirect
1160. C2×#124C2×D17semidirect
1182. C2×#123C2×D17semidirect
1183. C2×#123C2×D17semidirect
1184. C2×#123C2×D17semidirect
1194. C2×C22⋊Q8C2×D17semidirect
1195. C2×C22⋊Q8C2×D17semidirect
1266. C2×C4×D4C2×D17semidirect
1267. C2×C4×D4C2×D17semidirect
1273. C2×#117C2×D17semidirect
1274. C2×#117C2×D17semidirect
1281. C22×C22⋊C4C2×D17semidirect
1282. C22×C22⋊C4C2×D17semidirect
1287. C2×C17#3542semidirect
1403. #126C22×D17semidirect
1404. #126C22×D17semidirect
1416. #124C22×D17semidirect
1436. #123C22×D17semidirect
1437. #123C22×D17semidirect
1438. #123C22×D17semidirect
1448. C22⋊Q8C22×D17semidirect
1449. C22⋊Q8C22×D17semidirect
1519. C4×D4C22×D17semidirect
1520. C4×D4C22×D17semidirect
1526. #117C22×D17semidirect
1527. #117C22×D17semidirect
1610. C2×C22⋊C4C22×D17semidirect
1611. C2×C22⋊C4C22×D17semidirect
1620. C17C2×#3542semidirect
2155. C2#14543093direct (N × H)

Maximal subgroups

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

subgroupindex
#145430932
C2×#117635552
C2×#117635532
C2×#117635502
C2×#117635492
C2×#117635222
C2×#117635102
C2×#117634922
C2×#117634862
C2×#117634802
C2×#117634572
C2×#117634542
C2×#117634512
C2×#117634492
C2×#117634412
C2×#117634252
C2×#117634142
C2×#117634112
C2×#117633982
C2×#117633922
C2×#117633892
C2×#117633782
C2×#117633772
C2×#117633742
C2×#117633712
C2×#117633702
C2×#117633222
C2×#117633182
C22×#105875702
C2×C17×#5512
C2×#354217