Finite Group Databasebeta

← C2×#14543097 #17941464

Subgroups — C2×#14543097 #17941464

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#14543097C2132yesmaximal, direct product factor
2C2×#11763555C211yesmaximal, characteristic, complemented
3C2×#11763549C211yesmaximal, characteristic, complemented
4C2×#11763547C211yesmaximal, characteristic, complemented
5C2×#11763521C211yesmaximal, characteristic, complemented
6C2×#11763504C211yesmaximal, characteristic, complemented
7C2×#11763491C211yesmaximal, characteristic, complemented
8C2×#11763489C211yesmaximal, characteristic, complemented
9C2×#11763486C211yesmaximal, characteristic, complemented
10C2×#11763477C211yesmaximal, characteristic, complemented
11C2×#11763461C211yesmaximal, characteristic, complemented
12C2×#11763451C211yesmaximal, characteristic, complemented
13C2×#11763451C211yesmaximal, characteristic, complemented
14C2×#11763450C211yesmaximal, characteristic, complemented
15C2×#11763448C211yesmaximal, characteristic, complemented
16C2×#11763443C211yesmaximal, characteristic, complemented
17C2×#11763429C211yesmaximal, characteristic, complemented
18C2×#11763415C211yesmaximal, characteristic, complemented
19C2×#11763411C211yesmaximal, characteristic, complemented
20C2×#11763409C211yesmaximal, characteristic, complemented
21C2×#11763399C211yesmaximal, characteristic, complemented
22C2×#11763395C211yesmaximal, characteristic, complemented
23C2×#11763389C211yesmaximal, characteristic, complemented
24C2×#11763377C211yesmaximal, characteristic, complemented
25C2×#11763377C211yesmaximal, characteristic, complemented
26C2×#11763375C211yesmaximal, characteristic, complemented
27C2×#11763370C211yesmaximal, characteristic, complemented
28C2×#11763367C211yesmaximal, characteristic, complemented
29C2×#11763322C211yesmaximal, characteristic, complemented
30C2×#11763317C211yesmaximal, characteristic, complemented
31C2×#121×D17C211yesmaximal, characteristic, complemented
32C2×C17×#562C211yesmaximal, characteristic, complemented
33C22×#63256C2211yescharacteristic, complemented
34C22×#63256C2211yescharacteristic, complemented
35C22×#63252C2211yescharacteristic, complemented
36C22×#63252C2211yescharacteristic, complemented
37C22×#63254C2211yescharacteristic, complemented
38C23×D68C2211yescharacteristic
39C22×D4×D17C2211yescharacteristic
40C22×D4×D17C2211yescharacteristic
41C22×D4×D17C2211yescharacteristic, complemented
42C22×D4×D17C2211yescharacteristic, complemented
43C22×D4×D17C2211yescharacteristic, complemented
44C23×C4×D17C2211yescharacteristic, complemented
45#11763555C22116yescomplemented
46#11763549C22116yescomplemented
47#11763547C22116yescomplemented
48#11763521C22116yescomplemented
49#11763504C22116yescomplemented
50#11763491C22116yescomplemented
51#11763489C22116yescomplemented
52#11763486C22116yescomplemented
53#11763477C22116yescomplemented
54#11763461C22116yescomplemented
55#11763451C22116yescomplemented
56#11763451C22116yescomplemented
57#11763450C22116yescomplemented
58#11763448C22116yescomplemented
59#11763443C22116yescomplemented
60#11763429C22116yescomplemented
61#11763415C22116yescomplemented
62#11763411C22116yescomplemented
63#11763409C22116yescomplemented
64#11763399C22116yescomplemented
65#11763395C22116yescomplemented
66#11763389C22116yescomplemented
67#11763377C22116yescomplemented
68#11763377C22116yescomplemented
69#11763375C22116yescomplemented
70#11763370C22116yescomplemented
71#11763367C22116yescomplemented
72C2×#10587630C2211yescharacteristic, complemented
73C2×#10587560C2211yescharacteristic, complemented
74C2×#10587626C2211yescharacteristic, complemented
75C2×#10587626C2211yescharacteristic, complemented
76C2×#10587626C2211yescharacteristic, complemented
77C2×#10587626C2211yescharacteristic, complemented
78C2×#10587584C2211yescharacteristic, complemented
79C2×#10587584C2211yescharacteristic, complemented
80C2×#10587584C2211yescharacteristic, complemented
81C2×#10587584C2211yescharacteristic, complemented
82C2×#10587565C2211yescharacteristic, complemented
83C2×#10587565C2211yescharacteristic, complemented
84C2×#10587575C2211yescharacteristic, complemented
85C2×#10587575C2211yescharacteristic, complemented
86C2×#10587633C2211yescharacteristic, complemented
87C2×#10587633C2211yescharacteristic, complemented
88C2×#10587633C2211yescharacteristic, complemented
89C2×#10587571C2211yescharacteristic, complemented
90C2×#10587571C2211yescharacteristic, complemented
91C2×#10587571C2211yescharacteristic, complemented
92C2×#10587571C2211yescharacteristic, complemented
93#11763322C22116yescomplemented
94#11763317C22116yescomplemented
95C2×#10587580C2211yescharacteristic
96C2×#10587580C2211yescharacteristic
97C2×#10587580C2211yescharacteristic, complemented
98C2×#10587580C2211yescharacteristic, complemented
99C2×#10587580C2211yescharacteristic, complemented
100C2×#10587580C2211yescharacteristic, complemented
101C2×#10587580C2211yescharacteristic, complemented
102C2×#10587580C2211yescharacteristic, complemented
103C2×#10587580C2211yescharacteristic, complemented
104C2×#10587580C2211yescharacteristic, complemented
105C2×#10587572C2211yescharacteristic, complemented
106C2×#10587615C2211yescharacteristic, complemented
107C2×#10587615C2211yescharacteristic, complemented
108C2×#10587569C2211yescharacteristic, complemented
109C2×#10587569C2211yescharacteristic, complemented
110C2×#10587569C2211yescharacteristic, complemented
111C2×#10587569C2211yescharacteristic, complemented
112C2×#10587621C2211yescharacteristic, complemented
113C2×#10587583C2211yescharacteristic, complemented
114C2×#10587582C2211yescharacteristic, complemented
115C2×#10587582C2211yescharacteristic, complemented
116C2×#10587582C2211yescharacteristic, complemented
117C2×#10587582C2211yescharacteristic, complemented
118C2×#10587632C2211yescharacteristic, complemented
119C2×#10587632C2211yescharacteristic, complemented
120C2×#10587581C2211yescharacteristic
121C2×#10587581C2211yescharacteristic, complemented
122C2×#10587581C2211yescharacteristic, complemented
123C2×#10587581C2211yescharacteristic, complemented
124C2×#10587581C2211yescharacteristic, complemented
125C2×#10587581C2211yescharacteristic, complemented
126C2×#10587581C2211yescharacteristic, complemented
127C2×#10587581C2211yescharacteristic, complemented
128C2×#10587581C2211yescharacteristic, complemented
129C2×#10587616C2211yescharacteristic, complemented
130C2×#10587616C2211yescharacteristic, complemented
131C2×#10587616C2211yescharacteristic, complemented
132C2×#10587616C2211yescharacteristic, complemented
133C2×#10587570C2211yescharacteristic
134C2×#10587570C2211yescharacteristic
135C2×#10587570C2211yescharacteristic, complemented
136C2×#10587570C2211yescharacteristic, complemented
137C2×#10587570C2211yescharacteristic, complemented
138C2×#10587570C2211yescharacteristic, complemented
139C2×#10587570C2211yescharacteristic, complemented
140C2×#10587570C2211yescharacteristic, complemented
141C2×#10587570C2211yescharacteristic, complemented
142C2×#10587570C2211yescharacteristic, complemented
143C2×#10587570C2211yescharacteristic, complemented
144C2×#10587570C2211yescharacteristic, complemented
145C2×#10587570C2211yescharacteristic, complemented
146C2×#10587570C2211yescharacteristic, complemented
147C2×#10587625C2211yescharacteristic
148C2×#10587625C2211yescharacteristic, complemented
149C2×#10587625C2211yescharacteristic, complemented
150C2×#10587625C2211yescharacteristic, complemented
151C2×#10587625C2211yescharacteristic, complemented
152C2×#10587625C2211yescharacteristic, complemented
153C2×#10587624C2211yescharacteristic, complemented
154C2×#10587624C2211yescharacteristic, complemented
155#121×D17C22116yescomplemented
156C2×#10587568C2211yescharacteristic
157C2×#10587568C2211yescharacteristic
158C2×#10587568C2211yescharacteristic, complemented
159C2×#10587568C2211yescharacteristic, complemented
160C2×#10587568C2211yescharacteristic, complemented
161C2×#10587568C2211yescharacteristic, complemented
162C2×#10587568C2211yescharacteristic, complemented
163C2×#10587568C2211yescharacteristic, complemented
164C2×#10587568C2211yescharacteristic, complemented
165C2×#10587568C2211yescharacteristic, complemented
166C2×#10587568C2211yescharacteristic, complemented
167C2×#10587623C2211yescharacteristic
168C2×#10587623C2211yescharacteristic, complemented
169C2×#10587623C2211yescharacteristic, complemented
170C2×#10587623C2211yescharacteristic, complemented
171C2×#10587623C2211yescharacteristic, complemented
172C2×#10587573C2211yescharacteristic, complemented
173C2×#10587579C2211yescharacteristic
174C2×#10587579C2211yescharacteristic, complemented
175C2×#10587579C2211yescharacteristic, complemented
176C2×#10587579C2211yescharacteristic, complemented
177C2×#10587579C2211yescharacteristic, complemented
178C2×C4×C22⋊D17C2211yescharacteristic, complemented
179C2×C4×C22⋊D17C2211yescharacteristic, complemented
180C2×C4×C22⋊D17C2211yescharacteristic, complemented
181C2×C4×C22⋊D17C2211yescharacteristic, complemented
182C2×#10587567C2211yescharacteristic, complemented
183C2×#10587567C2211yescharacteristic, complemented
184C2×#10587567C2211yescharacteristic, complemented
185C2×#10587567C2211yescharacteristic, complemented
186C2×#10587567C2211yescharacteristic, complemented
187C2×#10587567C2211yescharacteristic, complemented
188C2×#10587578C2211yescharacteristic, complemented
189C2×#10587578C2211yescharacteristic, complemented
190C2×#10587558C2211yescharacteristic, complemented
191C2×#10587558C2211yescharacteristic, complemented
192C2×#10587558C2211yescharacteristic, complemented
193C2×#10587563C2211yescharacteristic, complemented
194C2×#10587563C2211yescharacteristic, complemented
195C2×C4⋊C4×D17C2211yescharacteristic, complemented
196C2×C4⋊C4×D17C2211yescharacteristic, complemented
197C22×#63227C2211yescharacteristic, complemented
198C22×#63227C2211yescharacteristic, complemented
199C2×C22⋊C4×D17C2211yescharacteristic, complemented
200C2×C22⋊C4×D17C2211yescharacteristic, complemented
201C2×C22⋊C4×D17C2211yescharacteristic, complemented
202C2×C22⋊C4×D17C2211yescharacteristic, complemented
203C17×#562C22116yescomplemented
204C2×C17×#125C2211yescharacteristic, complemented
205C2×C17×#124C2211yescharacteristic, complemented
206C2×C17×#124C2211yescharacteristic, complemented
207C2×C17×#123C2211yescharacteristic, complemented
208C2×C17×#123C2211yescharacteristic, complemented
209C2×C17×#123C2211yescharacteristic, complemented
210C2×C17×#123C2211yescharacteristic, complemented
211C2×C17×C22⋊Q8C2211yescharacteristic, complemented
212C2×C17×C22⋊Q8C2211yescharacteristic, complemented
213C2×C17×C22⋊Q8C2211yescharacteristic, complemented
214C2×C17×C22⋊Q8C2211yescharacteristic, complemented
215C2×C17×#121C2211yescharacteristic, complemented
216C2×C17×#121C2211yescharacteristic, complemented
217C2×C17×#121C2211yescharacteristic, complemented
218C2×C17×#121C2211yescharacteristic, complemented
219C24×D17C2311yescharacteristic
220C24×D17C2311yescharacteristic
221C24×D17C2311yescharacteristic
222C24×D17C2311yescharacteristic
223C24×D17C2311yescharacteristic
224C22×Q8×C17C2311yescharacteristic
225C22×Q8×C17C2311yescharacteristic
226C22×D4×C17C2311yescharacteristic
227C22×D4×C17C2311yescharacteristic
228C22×D4×C17C2311yescharacteristic
229C22×D4×C17C2311yescharacteristic
230C22×D4×C17C2311yescharacteristic
231C22×D4×C17C2311yescharacteristic
232C23×C4×C17C2311yescharacteristic
233C23×C4×C17C2311yescharacteristic
234C23×C4×C17C2311yescharacteristic
235C23×C4×C17C2311yescharacteristic
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
254C23×Dic17C2311yescharacteristic
255C23×Dic17C2311yescharacteristic
256C23×Dic17C2311yescharacteristic
257C2×#63256—44no—
258C2×#63256—44no—
259C2×#63256C2318yescomplemented
260C2×#63256C2318yescomplemented
261C2×#63254—44no—
262C2×#63254C2318yescomplemented
263C2×D4×D17—44no—
264C2×D4×D17—44no—
265C2×D4×D17—44no—
266C2×D4×D17—44no—
267C2×D4×D17—44no—
268C2×D4×D17C2318yes—
269C2×D4×D17C2318yes—
270C2×D4×D17C2318yescomplemented
271C2×D4×D17C2318yescomplemented
272C2×D4×D17C2318yescomplemented
273C2×#63252—44no—
274C2×#63252—44no—
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×D68C2318yes—
295C22×C4×D17—44no—
296C22×C4×D17C2311yescharacteristic
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×D17C2311yescharacteristic
311C22×C4×D17C2318yescomplemented
312C22×Dic34C2311yescharacteristic
313C22×Dic34C2311yescharacteristic
314C17×#125C2318yescomplemented
315C17×#124C2318yescomplemented
316C17×#124C2318yescomplemented
317C17×#123C2318yescomplemented
318C17×#123C2318yescomplemented
319C17×#123C2318yescomplemented
320C17×#123C2318yescomplemented
321C17×C22⋊Q8C2318yescomplemented
322C17×C22⋊Q8C2318yescomplemented
323C17×C22⋊Q8C2318yescomplemented
324C17×C22⋊Q8C2318yescomplemented
325C17×#121C2318yescomplemented
326C17×#121C2318yescomplemented
327C17×#121C2318yescomplemented
328C17×#121C2318yescomplemented
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×C4⋊C4×C17C2311yescharacteristic
336C2×C4⋊C4×C17C2311yescharacteristic
337C2×C4⋊C4×C17C2311yescharacteristic
338C2×C4⋊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×C17C2311yescharacteristic
350C2×C22⋊C4×C17C2311yescharacteristic
351C2×C42×C17C2311yescharacteristic
352C2×C22⋊Dic17C2311yescharacteristic
353C2×C22⋊Dic17C2311yescharacteristic
354C2×C22⋊Dic17C2311yescharacteristic
355C2×C22⋊Dic17C2311yescharacteristic
356C2×C22⋊Dic17C2311yescharacteristic
357C2×C22⋊Dic17C2311yescharacteristic
358#10587633C2318yescomplemented
359#10587633C2318yescomplemented
360#10587633C2318yescomplemented
361#10587632C2318yescomplemented
362#10587632C2318yescomplemented
363#10587630C2318yescomplemented
364#10587626C2318yescomplemented
365#10587626C2318yescomplemented
366#10587626C2318yescomplemented
367#10587626C2318yescomplemented
368#10587625C2318yes—
369#10587625C2318yescomplemented
370#10587625C2318yescomplemented
371#10587625C2318yescomplemented
372#10587625C2318yescomplemented
373#10587625C2318yescomplemented
374#10587624C2318yescomplemented
375#10587624C2318yescomplemented
376#10587623C2318yes—
377#10587623C2318yescomplemented
378#10587623C2318yescomplemented
379#10587623C2318yescomplemented
380#10587623C2318yescomplemented
381#10587621C2318yescomplemented
382#10587616C2318yescomplemented
383#10587616C2318yescomplemented
384#10587616C2318yescomplemented
385#10587616C2318yescomplemented
386#10587615C2318yescomplemented
387#10587615C2318yescomplemented
388C4×C22⋊D17C2318yescomplemented
389C4×C22⋊D17C2318yescomplemented
390C4×C22⋊D17C2318yescomplemented
391C4×C22⋊D17C2318yescomplemented
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×#63227C2311yescharacteristic
414C2×#63227C2311yescharacteristic
415C2×#63227C2311yescharacteristic
416C2×#63227C2311yescharacteristic
417C2×#63227C2311yescharacteristic
418C2×#63227C2311yescharacteristic
419C2×#63227C2311yescharacteristic
420C2×#63227C2311yescharacteristic
421C2×#63227C2311yescharacteristic
422C2×#63227C2318yescomplemented
423C2×#63227C2318yescomplemented
424C2×C4⋊Dic17C2311yescharacteristic
425C2×C4⋊Dic17C2311yescharacteristic
426C2×C4⋊Dic17C2311yescharacteristic
427C2×C4⋊Dic17C2311yescharacteristic
428C2×#63225C2311yescharacteristic
429C2×#63225C2311yescharacteristic
430C2×#63225C2311yescharacteristic
431C2×#63225C2311yescharacteristic
432C2×#63225C2311yescharacteristic
433C2×#63225C2311yescharacteristic
434C2×#63225C2311yescharacteristic
435C2×#63225C2311yescharacteristic
436C2×#63225C2311yescharacteristic
437C2×#63225C2311yescharacteristic
438C2×#63225C2311yescharacteristic
439C2×#63225C2311yescharacteristic
440C2×#63225C2311yescharacteristic
441C2×#63225C2311yescharacteristic
442C2×C4×Dic17C2311yescharacteristic
443C2×C4×Dic17C2311yescharacteristic
444C2×C4×Dic17C2311yescharacteristic
445C2×C4×Dic17C2311yescharacteristic
446C2×C4×Dic17C2311yescharacteristic
447C2×C4×Dic17C2311yescharacteristic
448C2×C4×Dic17C2311yescharacteristic
449#10587584C2318yescomplemented
450#10587584C2318yescomplemented
451#10587584C2318yescomplemented
452#10587584C2318yescomplemented
453#10587583C2318yescomplemented
454#10587582C2318yescomplemented
455#10587582C2318yescomplemented
456#10587582C2318yescomplemented
457#10587582C2318yescomplemented
458#10587581C2318yes—
459#10587581C2318yescomplemented
460#10587581C2318yescomplemented
461#10587581C2318yescomplemented
462#10587581C2318yescomplemented
463#10587581C2318yescomplemented
464#10587581C2318yescomplemented
465#10587581C2318yescomplemented
466#10587581C2318yescomplemented
467#10587580C2318yes—
468#10587580C2318yes—
469#10587580C2318yescomplemented
470#10587580C2318yescomplemented
471#10587580C2318yescomplemented
472#10587580C2318yescomplemented
473#10587580C2318yescomplemented
474#10587580C2318yescomplemented
475#10587580C2318yescomplemented
476#10587580C2318yescomplemented
477#10587579C2318yes—
478#10587579C2318yescomplemented
479#10587579C2318yescomplemented
480#10587579C2318yescomplemented
481#10587579C2318yescomplemented
482#10587578C2318yescomplemented
483#10587578C2318yescomplemented
484C4⋊C4×D17C2318yescomplemented
485C4⋊C4×D17C2318yescomplemented
486#10587575C2318yescomplemented
487#10587575C2318yescomplemented
488#10587573C2318yescomplemented
489#10587572C2318yescomplemented
490#10587571C2318yescomplemented
491#10587571C2318yescomplemented
492#10587571C2318yescomplemented
493#10587571C2318yescomplemented
494#10587570C2318yes—
495#10587570C2318yes—
496#10587570C2318yescomplemented
497#10587570C2318yescomplemented
498#10587570C2318yescomplemented
499#10587570C2318yescomplemented
500#10587570C2318yescomplemented
501#10587570C2318yescomplemented
502#10587570C2318yescomplemented
503#10587570C2318yescomplemented
504#10587570C2318yescomplemented
505#10587570C2318yescomplemented
506#10587570C2318yescomplemented
507#10587570C2318yescomplemented
508#10587569C2318yescomplemented
509#10587569C2318yescomplemented
510#10587569C2318yescomplemented
511#10587569C2318yescomplemented
512#10587568C2318yes—
513#10587568C2318yes—
514#10587568C2318yescomplemented
515#10587568C2318yescomplemented
516#10587568C2318yescomplemented
517#10587568C2318yescomplemented
518#10587568C2318yescomplemented
519#10587568C2318yescomplemented
520#10587568C2318yescomplemented
521#10587568C2318yescomplemented
522#10587568C2318yescomplemented
523#10587567C2318yescomplemented
524#10587567C2318yescomplemented
525#10587567C2318yescomplemented
526#10587567C2318yescomplemented
527#10587567C2318yescomplemented
528#10587567C2318yescomplemented
529C22⋊C4×D17C2318yescomplemented
530C22⋊C4×D17C2318yescomplemented
531C22⋊C4×D17C2318yescomplemented
532C22⋊C4×D17C2318yescomplemented
533#10587565C2318yescomplemented
534#10587565C2318yescomplemented
535#10587563C2318yescomplemented
536#10587563C2318yescomplemented
537#10587560C2318yescomplemented
538#10587558C2318yescomplemented
539#10587558C2318yescomplemented
540#10587558C2318yescomplemented
541C24×C17C2411yescharacteristic
542C24×C17C2411yescharacteristic
543C24×C17C2411yescharacteristic
544C24×C17C2411yescharacteristic
545C23×D17—24no—
546C23×D17—24no—
547C23×D17—24no—
548C23×D17—42no—
549C23×D17—42no—
550C23×D17—42no—
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×D17C2411yescharacteristic
561C23×D17C2411yescharacteristic
562C23×D17C2411yescharacteristic
563C23×D17C2411yescharacteristic
564C23×D17C2411yescharacteristic
565C23×D17C2411yescharacteristic
566C23×D17C2411yescharacteristic
567C23×D17C2414yes—
568C23×D17C2414yes—
569C23×D17C2414yes—
570C23×D17C2414yes—
571C23×D17C2414yes—
572C2×Q8×C17—42no—
573C2×Q8×C17—42no—
574C2×Q8×C17C2414yes—
575C2×Q8×C17C2414yes—
576C2×D4×C17—42no—
577C2×D4×C17—42no—
578C2×D4×C17—42no—
579C2×D4×C17—42no—
580C2×D4×C17—42no—
581C2×D4×C17—42no—
582C2×D4×C17C2414yes—
583C2×D4×C17C2414yes—
584C2×D4×C17C2414yes—
585C2×D4×C17C2414yes—
586C2×D4×C17C2414yes—
587C2×D4×C17C2414yes—
588C22×C4×C17—42no—
589C22×C4×C17—42no—
590C22×C4×C17—42no—
591C22×C4×C17—42no—
592C22×C4×C17C2411yescharacteristic
593C22×C4×C17C2411yescharacteristic
594C22×C4×C17C2411yescharacteristic
595C22×C4×C17C2411yescharacteristic
596C22×C4×C17C2411yescharacteristic
597C22×C4×C17C2411yescharacteristic
598C22×C4×C17C2411yescharacteristic
599C22×C4×C17C2411yescharacteristic
600C22×C4×C17C2411yescharacteristic
601C22×C4×C17C2411yescharacteristic
602C22×C4×C17C2411yescharacteristic
603C22×C4×C17C2414yes—
604C22×C4×C17C2414yes—
605C22×C4×C17C2414yes—
606C22×C4×C17C2414yes—
607C2×C22⋊D17—24no—
608C2×C22⋊D17—24no—
609C2×C22⋊D17—24no—
610C2×C22⋊D17—24no—
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—42no—
621C2×C22⋊D17—42no—
622C2×C22⋊D17—42no—
623C2×C22⋊D17—42no—
624C2×C22⋊D17—42no—
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—
643C22×Dic17—24no—
644C22×Dic17—42no—
645C22×Dic17—42no—
646C22×Dic17C2411yescharacteristic
647C22×Dic17C2411yescharacteristic
648C22×Dic17C2411yescharacteristic
649C22×Dic17C2411yescharacteristic
650C22×Dic17C2411yescharacteristic
651C22×Dic17C2411yescharacteristic
652C22×Dic17C2414yes—
653C22×Dic17C2411yescharacteristic
654C22×Dic17C2411yescharacteristic
655C22×Dic17C2414yes—
656C22×Dic17C2414yes—
657C22×Dic17C2411yescharacteristic
658#63256—416no—
659#63256—416no—
660#63254—416no—
661D4×D17—416no—
662D4×D17—416no—
663D4×D17—416no—
664D4×D17—416no—
665D4×D17—416no—
666#63252—416no—
667#63252—416no—
668C2×D68—24no—
669C2×D68—24no—
670C2×D68—24no—
671C2×D68—416no—
672C2×D68—42no—
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×D68C2414yes—
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×C4×D17—24no—
702C2×C4×D17—24no—
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×C4×D17C2414yes—
731C2×C4×D17C2414yes—
732C2×Dic34—24no—
733C2×Dic34—42no—
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—
744C4⋊C4×C17C2414yes—
745C4⋊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—
759C22⋊Dic17C2414yes—
760C22⋊Dic17C2414yes—
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—
799#63225C2414yes—
800#63225C2414yes—
801#63225C2414yes—
802#63225C2414yes—
803#63225C2414yes—
804#63225C2414yes—
805#63225C2414yes—
806#63225C2414yes—
807#63225C2414yes—
808#63225C2414yes—
809#63225C2414yes—
810#63225C2414yes—
811#63225C2414yes—
812#63225C2414yes—
813C4×Dic17C2414yes—
814C4×Dic17C2414yes—
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—22no—
833C23×C17C2512yes—
834C23×C17C2512yes—
835C23×C17C2512yes—
836C23×C17C2512yes—
837C23×C17C2511yescharacteristic
838C22×D17—22no—
839C22×D17—22no—
840C22×D17—22no—
841C22×D17—22no—
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—22no—
853C22×D17—22no—
854C22×D17—22no—
855C22×D17—22no—
856C22×D17—22no—
857C22×D17—22no—
858C22×D17—28no—
859C22×D17—28no—
860C22×D17—28no—
861C22×D17—44no—
862C22×D17—44no—
863C22×D17—44no—
864C22×D17—44no—
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—416no—
874C22×D17—88no—
875C22×D17—88no—
876C22×D17—88no—
877C22×D17—88no—
878C22×D17H(5,𝔽2)14yes—
879C22×D17C2512yes—
880C22×D17C2512yes—
881C22×D17C2512yes—
882C22×D17C2512yes—
883C22×D17C2512yes—
884C22×D17C2512yes—
885C22×D17C2512yes—
886Q8×C17—44no—
887Q8×C17—44no—
888D4×C17—44no—
889D4×C17—44no—
890D4×C17—44no—
891D4×C17—44no—
892D4×C17—44no—
893D4×C17—44no—
894C2×C4×C17—22no—
895C2×C4×C17—22no—
896C2×C4×C17—22no—
897C2×C4×C17—22no—
898C2×C4×C17—22no—
899C2×C4×C17—22no—
900C2×C4×C17—22no—
901C2×C4×C17—22no—
902C2×C4×C17—22no—
903C2×C4×C17—22no—
904C2×C4×C17—22no—
905C2×C4×C17—44no—
906C2×C4×C17—44no—
907C2×C4×C17—44no—
908C2×C4×C17—44no—
909C2×C4×C17C2512yes—
910C2×C4×C17C2512yes—
911C2×C4×C17C2512yes—
912C2×C4×C17C2512yes—
913C2×C4×C17C2512yes—
914C2×C4×C17C2512yes—
915C2×C4×C17C2512yes—
916C2×C4×C17C2512yes—
917C2×C4×C17C2512yes—
918C2×C4×C17C2512yes—
919C2×C4×C17C2512yes—
920C22⋊D17—28no—
921C22⋊D17—28no—
922C22⋊D17—28no—
923C22⋊D17—28no—
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—
937C22⋊D17—44no—
938C2×Dic17—22no—
939C2×Dic17—22no—
940C2×Dic17—22no—
941C2×Dic17—22no—
942C2×Dic17—22no—
943C2×Dic17—22no—
944C2×Dic17—22no—
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—28no—
960D68—28no—
961D68—28no—
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—
975C4×D17—28no—
976C4×D17—28no—
977C4×D17—28no—
978C4×D17—28no—
979C4×D17—28no—
980C4×D17—28no—
981C4×D17—44no—
982C4×D17—44no—
983C4×D17—44no—
984C4×D17—44no—
985C4×D17—44no—
986C4×D17—44no—
987C4×D17—44no—
988C4×D17—44no—
989C4×D17—44no—
990Dic34—28no—
991Dic34—44no—
992#3542—1732no—
993C2×#562—171no—
994C2×#562D1711yescharacteristic, complemented
995C2×#560—171no—
996C2×#560—171no—
997C2×#555—171no—
998C2×#553—171no—
999C2×#552—171no—
1000C2×#551—171no—
1001C2×#551—171no—
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—22no—
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—44no—
1040C22×C17C2×H(5,𝔽2)12yes—
1041C22×C17C2×H(5,𝔽2)12yes—
1042C22×C17#58512yes—
1043C22×C17C2611yescharacteristic
1044C2×D17—22no—
1045C2×D17—22no—
1046C2×D17—28no—
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—416no—
1066C2×D17—44no—
1067C2×D17—44no—
1068C2×D17—44no—
1069C2×D17—44no—
1070C2×D17—44no—
1071C2×D17—44no—
1072C2×D17—88no—
1073C2×D17—88no—
1074C2×D17—88no—
1075C2×D17—88no—
1076C2×D17C2×H(5,𝔽2)14yes—
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#562C2×D17116yescomplemented
1111#560—1716no—
1112#560—1716no—
1113#555—1716no—
1114#553—1716no—
1115#552—1716no—
1116#551—1716no—
1117#551—1716no—
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×#126—171no—
1148C2×#126—171no—
1149C2×#125—171no—
1150C2×#125—171no—
1151C2×#125C2×D1711yescharacteristic, complemented
1152C2×#124—171no—
1153C2×#124—171no—
1154C2×#124—171no—
1155C2×#124—171no—
1156C2×#124—171no—
1157C2×#124—171no—
1158C2×#124—171no—
1159C2×#124C2×D1711yescharacteristic, complemented
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×#123C2×D1711yescharacteristic, complemented
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⋊Q8C2×D1711yescharacteristic, complemented
1193C2×C22⋊Q8C2×D1711yescharacteristic, complemented
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—1716no—
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×#121C2×D1711yescharacteristic, complemented
1233C2×#121C2×D1711yescharacteristic, complemented
1234C2×#121C2×D1711yescharacteristic, complemented
1235C2×#121C2×D1711yescharacteristic, complemented
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×#120—171no—
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×D4—171no—
1267C2×C4×D4—171no—
1268C2×#117—171no—
1269C2×#117—171no—
1270C2×#117—171no—
1271C2×#117—171no—
1272C2×#117—171no—
1273C2×#117—171no—
1274C2×#117—171no—
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⋊C4—171no—
1282C22×C22⋊C4—171no—
1283C2×C17—42no—
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—24no—
1292D17—42no—
1293D17—42no—
1294D17—42no—
1295D17—42no—
1296D17—42no—
1297D17—42no—
1298C25—171no—
1299C25—171no—
1300C25—171no—
1301C25—171no—
1302C25—171no—
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×Q8C22×D1711yescharacteristic
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—178no—
1336C22×D4—178no—
1337C22×D4—178no—
1338C22×D4—178no—
1339C22×D4—178no—
1340C22×D4—171no—
1341C22×D4—171no—
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—178no—
1357C22×D4—684no—
1358C22×D4—684no—
1359C22×D4—684no—
1360C22×D4—684no—
1361C22×D4—684no—
1362C22×D4—684no—
1363C22×D4C22×D1711yescharacteristic
1364C22×D4C22×D1711yescharacteristic
1365C22×D4C22×D1711yescharacteristic
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—171no—
1387C23×C4—178no—
1388C23×C4—684no—
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#126—178no—
1404#126—178no—
1405#125—178no—
1406#125—178no—
1407#125C22×D1718yescomplemented
1408#124—178no—
1409#124—178no—
1410#124—178no—
1411#124—178no—
1412#124—178no—
1413#124—178no—
1414#124—178no—
1415#124C22×D1718yescomplemented
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#123C22×D1718yescomplemented
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⋊Q8C22×D1718yescomplemented
1447C22⋊Q8C22×D1718yescomplemented
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#121C22×D1718yescomplemented
1486#121C22×D1718yescomplemented
1487#121C22×D1718yescomplemented
1488#121C22×D1718yescomplemented
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#120—178no—
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×D4—178no—
1520C4×D4—178no—
1521#117—178no—
1522#117—178no—
1523#117—178no—
1524#117—178no—
1525#117—178no—
1526#117—178no—
1527#117—178no—
1528C2×C4⋊C4—171no—
1529C2×C4⋊C4—171no—
1530C2×C4⋊C4—171no—
1531C2×C4⋊C4—171no—
1532C2×C4⋊C4—171no—
1533C2×C4⋊C4—171no—
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—178no—
1547C2×C4⋊C4—178no—
1548C2×C4⋊C4C22×D1711yescharacteristic
1549C2×C4⋊C4C22×D1711yescharacteristic
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—171no—
1573C2×C22⋊C4—171no—
1574C2×C22⋊C4—171no—
1575C2×C22⋊C4—171no—
1576C2×C22⋊C4—171no—
1577C2×C22⋊C4—178no—
1578C2×C22⋊C4—178no—
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—171no—
1595C2×C22⋊C4—171no—
1596C2×C22⋊C4—178no—
1597C2×C22⋊C4—178no—
1598C2×C22⋊C4—178no—
1599C2×C22⋊C4—178no—
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×D1711yescharacteristic
1611C2×C22⋊C4C22×D1711yescharacteristic
1612C2×C42—171no—
1613C2×C42—171no—
1614C2×C42—171no—
1615C2×C42—171no—
1616C2×C42—171no—
1617C2×C42—171no—
1618C2×C42—171no—
1619C2×C42C22×D1711yescharacteristic
1620C17C2×#354211yescharacteristic, complemented, Sylow
1621C24—171no—
1622C24—171no—
1623C24—171no—
1624C24—171no—
1625C24—171no—
1626C24—171no—
1627C24—171no—
1628C24—174no—
1629C24—174no—
1630C24—174no—
1631C24—174no—
1632C24—174no—
1633C24—344no—
1634C24—344no—
1635C24—344no—
1636C24—682no—
1637C24—682no—
1638C24—682no—
1639C24—682no—
1640C24—682no—
1641C24—682no—
1642C24—682no—
1643C24—682no—
1644C24—682no—
1645C24—682no—
1646C24—682no—
1647C24—682no—
1648C24C23×D1711yescharacteristic
1649C24C23×D1711yescharacteristic
1650C24C23×D1711yescharacteristic
1651C24C23×D1711yescharacteristic
1652#41—6816no—
1653#41—6816no—
1654#41—6816no—
1655#41—6816no—
1656#41—6816no—
1657C2×Q8—42no—
1658C2×Q8—42no—
1659C2×Q8—174no—
1660C2×Q8—174no—
1661C2×Q8—344no—
1662C2×Q8—682no—
1663C2×Q8C23×D1714yes—
1664C2×Q8C23×D1714yes—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
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—344no—
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—682no—
1722C2×D4—682no—
1723C2×D4—682no—
1724C2×D4—682no—
1725C2×D4—6816no—
1726C2×D4—6816no—
1727C2×D4—6816no—
1728C2×D4—6816no—
1729C2×D4—6816no—
1730C2×D4—682no—
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—682no—
1740C2×D4—682no—
1741C2×D4—682no—
1742C2×D4—682no—
1743C2×D4—682no—
1744C2×D4—6816no—
1745C2×D4C23×D1714yes—
1746C2×D4C23×D1714yes—
1747C2×D4C23×D1714yes—
1748C2×D4C23×D1714yes—
1749C2×D4C23×D1714yes—
1750C2×D4C23×D1714yes—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—171no—
1756C22×C4—174no—
1757C22×C4—171no—
1758C22×C4—171no—
1759C22×C4—171no—
1760C22×C4—171no—
1761C22×C4—171no—
1762C22×C4—171no—
1763C22×C4—171no—
1764C22×C4—171no—
1765C22×C4—174no—
1766C22×C4—174no—
1767C22×C4—174no—
1768C22×C4—174no—
1769C22×C4—174no—
1770C22×C4—174no—
1771C22×C4—174no—
1772C22×C4—174no—
1773C22×C4—174no—
1774C22×C4—174no—
1775C22×C4—174no—
1776C22×C4—174no—
1777C22×C4—174no—
1778C22×C4—174no—
1779C22×C4—174no—
1780C22×C4—174no—
1781C22×C4—174no—
1782C22×C4—344no—
1783C22×C4—344no—
1784C22×C4—344no—
1785C22×C4—344no—
1786C22×C4—344no—
1787C22×C4—344no—
1788C22×C4—344no—
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—682no—
1798C22×C4—6816no—
1799C22×C4—682no—
1800C22×C4—682no—
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⋊C4C23×D1714yes—
1835C4⋊C4C23×D1714yes—
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⋊C4—174no—
1879C22⋊C4—174no—
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—
1897C42—174no—
1898C42—174no—
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—22no—
1912C23—174no—
1913C23—172no—
1914C23—172no—
1915C23—172no—
1916C23—172no—
1917C23—172no—
1918C23—172no—
1919C23—172no—
1920C23—348no—
1921C23—348no—
1922C23—348no—
1923C23—342no—
1924C23—342no—
1925C23—342no—
1926C23—342no—
1927C23—342no—
1928C23—342no—
1929C23—342no—
1930C23—342no—
1931C23—342no—
1932C23—342no—
1933C23—342no—
1934C23—342no—
1935C23—342no—
1936C23—342no—
1937C23—342no—
1938C23—342no—
1939C23—342no—
1940C23—342no—
1941C23—342no—
1942C23—342no—
1943C23—684no—
1944C23—684no—
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—1368no—
1960C23C24×D1712yes—
1961C23C24×D1712yes—
1962C23C24×D1712yes—
1963C23C24×D1712yes—
1964C23C24×D1711yescharacteristic
1965Q8—44no—
1966Q8—44no—
1967Q8—348no—
1968Q8—684no—
1969D4—44no—
1970D4—44no—
1971D4—44no—
1972D4—44no—
1973D4—44no—
1974D4—44no—
1975D4—348no—
1976D4—348no—
1977D4—348no—
1978D4—348no—
1979D4—348no—
1980D4—348no—
1981D4—348no—
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—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—44no—
2021C2×C4—44no—
2022C2×C4—44no—
2023C2×C4—44no—
2024C2×C4—174no—
2025C2×C4—172no—
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—348no—
2035C2×C4—348no—
2036C2×C4—348no—
2037C2×C4—348no—
2038C2×C4—348no—
2039C2×C4—348no—
2040C2×C4—348no—
2041C2×C4—342no—
2042C2×C4—342no—
2043C2×C4—342no—
2044C2×C4—342no—
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—22no—
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—44no—
2087C22—174no—
2088C22—342no—
2089C22—342no—
2090C22—348no—
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—342no—
2109C22—6816no—
2110C22—684no—
2111C22—684no—
2112C22—684no—
2113C22—684no—
2114C22—684no—
2115C22—684no—
2116C22—1368no—
2117C22—1368no—
2118C22—1368no—
2119C22—1368no—
2120C22H(5,𝔽2)×D1712yes—
2121C22H(5,𝔽2)×D1712yes—
2122C22#1176364612yes—
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—42no—
2145C2—42no—
2146C2—42no—
2147C2—42no—
2148C2—344no—
2149C2—682no—
2150C2—682no—
2151C2—682no—
2152C2—682no—
2153C2—682no—
2154C2—682no—
2155C2#1454309714yesdirect product factor
2156C2C2×H(5,𝔽2)×D1711yescharacteristic
2157C2C2×H(5,𝔽2)×D1711yescharacteristic
2158C2C2×#1176364611yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#562C2
socleC23×C17C25
hypercenterC2×#562D17
hypocenterC17C2×#3542
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#562

Complements

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

NH ≅ G/Ntype
1. #14543097C2direct (N × H)
2. C2×#11763555C2semidirect
3. C2×#11763549C2semidirect
4. C2×#11763547C2semidirect
5. C2×#11763521C2semidirect
6. C2×#11763504C2semidirect
7. C2×#11763491C2semidirect
8. C2×#11763489C2semidirect
9. C2×#11763486C2semidirect
10. C2×#11763477C2semidirect
11. C2×#11763461C2semidirect
12. C2×#11763451C2semidirect
13. C2×#11763451C2semidirect
14. C2×#11763450C2semidirect
15. C2×#11763448C2semidirect
16. C2×#11763443C2semidirect
17. C2×#11763429C2semidirect
18. C2×#11763415C2semidirect
19. C2×#11763411C2semidirect
20. C2×#11763409C2semidirect
21. C2×#11763399C2semidirect
22. C2×#11763395C2semidirect
23. C2×#11763389C2semidirect
24. C2×#11763377C2semidirect
25. C2×#11763377C2semidirect
26. C2×#11763375C2semidirect
27. C2×#11763370C2semidirect
28. C2×#11763367C2semidirect
29. C2×#11763322C2semidirect
30. C2×#11763317C2semidirect
31. C2×#121×D17C2semidirect
32. C2×C17×#562C2semidirect
33. C22×#63256C22semidirect
34. C22×#63256C22semidirect
35. C22×#63252C22semidirect
36. C22×#63252C22semidirect
37. C22×#63254C22semidirect
41. C22×D4×D17C22semidirect
42. C22×D4×D17C22semidirect
43. C22×D4×D17C22semidirect
44. C23×C4×D17C22semidirect
45. #11763555C22semidirect
46. #11763549C22semidirect
47. #11763547C22semidirect
48. #11763521C22semidirect
49. #11763504C22semidirect
50. #11763491C22semidirect
51. #11763489C22semidirect
52. #11763486C22semidirect
53. #11763477C22semidirect
54. #11763461C22semidirect
55. #11763451C22semidirect
56. #11763451C22semidirect
57. #11763450C22semidirect
58. #11763448C22semidirect
59. #11763443C22semidirect
60. #11763429C22semidirect
61. #11763415C22semidirect
62. #11763411C22semidirect
63. #11763409C22semidirect
64. #11763399C22semidirect
65. #11763395C22semidirect
66. #11763389C22semidirect
67. #11763377C22semidirect
68. #11763377C22semidirect
69. #11763375C22semidirect
70. #11763370C22semidirect
71. #11763367C22semidirect
72. C2×#10587630C22semidirect
73. C2×#10587560C22semidirect
74. C2×#10587626C22semidirect
75. C2×#10587626C22semidirect
76. C2×#10587626C22semidirect
77. C2×#10587626C22semidirect
78. C2×#10587584C22semidirect
79. C2×#10587584C22semidirect
80. C2×#10587584C22semidirect
81. C2×#10587584C22semidirect
82. C2×#10587565C22semidirect
83. C2×#10587565C22semidirect
84. C2×#10587575C22semidirect
85. C2×#10587575C22semidirect
86. C2×#10587633C22semidirect
87. C2×#10587633C22semidirect
88. C2×#10587633C22semidirect
89. C2×#10587571C22semidirect
90. C2×#10587571C22semidirect
91. C2×#10587571C22semidirect
92. C2×#10587571C22semidirect
93. #11763322C22semidirect
94. #11763317C22semidirect
97. C2×#10587580C22semidirect
98. C2×#10587580C22semidirect
99. C2×#10587580C22semidirect
100. C2×#10587580C22semidirect
101. C2×#10587580C22semidirect
102. C2×#10587580C22semidirect
103. C2×#10587580C22semidirect
104. C2×#10587580C22semidirect
105. C2×#10587572C22semidirect
106. C2×#10587615C22semidirect
107. C2×#10587615C22semidirect
108. C2×#10587569C22semidirect
109. C2×#10587569C22semidirect
110. C2×#10587569C22semidirect
111. C2×#10587569C22semidirect
112. C2×#10587621C22semidirect
113. C2×#10587583C22semidirect
114. C2×#10587582C22semidirect
115. C2×#10587582C22semidirect
116. C2×#10587582C22semidirect
117. C2×#10587582C22semidirect
118. C2×#10587632C22semidirect
119. C2×#10587632C22semidirect
121. C2×#10587581C22semidirect
122. C2×#10587581C22semidirect
123. C2×#10587581C22semidirect
124. C2×#10587581C22semidirect
125. C2×#10587581C22semidirect
126. C2×#10587581C22semidirect
127. C2×#10587581C22semidirect
128. C2×#10587581C22semidirect
129. C2×#10587616C22semidirect
130. C2×#10587616C22semidirect
131. C2×#10587616C22semidirect
132. C2×#10587616C22semidirect
135. C2×#10587570C22semidirect
136. C2×#10587570C22semidirect
137. C2×#10587570C22semidirect
138. C2×#10587570C22semidirect
139. C2×#10587570C22semidirect
140. C2×#10587570C22semidirect
141. C2×#10587570C22semidirect
142. C2×#10587570C22semidirect
143. C2×#10587570C22semidirect
144. C2×#10587570C22semidirect
145. C2×#10587570C22semidirect
146. C2×#10587570C22semidirect
148. C2×#10587625C22semidirect
149. C2×#10587625C22semidirect
150. C2×#10587625C22semidirect
151. C2×#10587625C22semidirect
152. C2×#10587625C22semidirect
153. C2×#10587624C22semidirect
154. C2×#10587624C22semidirect
155. #121×D17C22semidirect
158. C2×#10587568C22semidirect
159. C2×#10587568C22semidirect
160. C2×#10587568C22semidirect
161. C2×#10587568C22semidirect
162. C2×#10587568C22semidirect
163. C2×#10587568C22semidirect
164. C2×#10587568C22semidirect
165. C2×#10587568C22semidirect
166. C2×#10587568C22semidirect
168. C2×#10587623C22semidirect
169. C2×#10587623C22semidirect
170. C2×#10587623C22semidirect
171. C2×#10587623C22semidirect
172. C2×#10587573C22semidirect
174. C2×#10587579C22semidirect
175. C2×#10587579C22semidirect
176. C2×#10587579C22semidirect
177. C2×#10587579C22semidirect
178. C2×C4×C22⋊D17C22semidirect
179. C2×C4×C22⋊D17C22semidirect
180. C2×C4×C22⋊D17C22semidirect
181. C2×C4×C22⋊D17C22semidirect
182. C2×#10587567C22semidirect
183. C2×#10587567C22semidirect
184. C2×#10587567C22semidirect
185. C2×#10587567C22semidirect
186. C2×#10587567C22semidirect
187. C2×#10587567C22semidirect
188. C2×#10587578C22semidirect
189. C2×#10587578C22semidirect
190. C2×#10587558C22semidirect
191. C2×#10587558C22semidirect
192. C2×#10587558C22semidirect
193. C2×#10587563C22semidirect
194. C2×#10587563C22semidirect
195. C2×C4⋊C4×D17C22semidirect
196. C2×C4⋊C4×D17C22semidirect
197. C22×#63227C22semidirect
198. C22×#63227C22semidirect
199. C2×C22⋊C4×D17C22semidirect
200. C2×C22⋊C4×D17C22semidirect
201. C2×C22⋊C4×D17C22semidirect
202. C2×C22⋊C4×D17C22semidirect
203. C17×#562C22semidirect
204. C2×C17×#125C22semidirect
205. C2×C17×#124C22semidirect
206. C2×C17×#124C22semidirect
207. C2×C17×#123C22semidirect
208. C2×C17×#123C22semidirect
209. C2×C17×#123C22semidirect
210. C2×C17×#123C22semidirect
211. C2×C17×C22⋊Q8C22semidirect
212. C2×C17×C22⋊Q8C22semidirect
213. C2×C17×C22⋊Q8C22semidirect
214. C2×C17×C22⋊Q8C22semidirect
215. C2×C17×#121C22semidirect
216. C2×C17×#121C22semidirect
217. C2×C17×#121C22semidirect
218. C2×C17×#121C22semidirect
259. C2×#63256C23semidirect
260. C2×#63256C23semidirect
262. C2×#63254C23semidirect
270. C2×D4×D17C23semidirect
271. C2×D4×D17C23semidirect
272. C2×D4×D17C23semidirect
275. C2×#63252C23semidirect
276. C2×#63252C23semidirect
311. C22×C4×D17C23semidirect
314. C17×#125C23semidirect
315. C17×#124C23semidirect
316. C17×#124C23semidirect
317. C17×#123C23semidirect
318. C17×#123C23semidirect
319. C17×#123C23semidirect
320. C17×#123C23semidirect
321. C17×C22⋊Q8C23semidirect
322. C17×C22⋊Q8C23semidirect
323. C17×C22⋊Q8C23semidirect
324. C17×C22⋊Q8C23semidirect
325. C17×#121C23semidirect
326. C17×#121C23semidirect
327. C17×#121C23semidirect
328. C17×#121C23semidirect
358. #10587633C23semidirect
359. #10587633C23semidirect
360. #10587633C23semidirect
361. #10587632C23semidirect
362. #10587632C23semidirect
363. #10587630C23semidirect
364. #10587626C23semidirect
365. #10587626C23semidirect
366. #10587626C23semidirect
367. #10587626C23semidirect
369. #10587625C23semidirect
370. #10587625C23semidirect
371. #10587625C23semidirect
372. #10587625C23semidirect
373. #10587625C23semidirect
374. #10587624C23semidirect
375. #10587624C23semidirect
377. #10587623C23semidirect
378. #10587623C23semidirect
379. #10587623C23semidirect
380. #10587623C23semidirect
381. #10587621C23semidirect
382. #10587616C23semidirect
383. #10587616C23semidirect
384. #10587616C23semidirect
385. #10587616C23semidirect
386. #10587615C23semidirect
387. #10587615C23semidirect
388. C4×C22⋊D17C23semidirect
389. C4×C22⋊D17C23semidirect
390. C4×C22⋊D17C23semidirect
391. C4×C22⋊D17C23semidirect
422. C2×#63227C23semidirect
423. C2×#63227C23semidirect
449. #10587584C23semidirect
450. #10587584C23semidirect
451. #10587584C23semidirect
452. #10587584C23semidirect
453. #10587583C23semidirect
454. #10587582C23semidirect
455. #10587582C23semidirect
456. #10587582C23semidirect
457. #10587582C23semidirect
459. #10587581C23semidirect
460. #10587581C23semidirect
461. #10587581C23semidirect
462. #10587581C23semidirect
463. #10587581C23semidirect
464. #10587581C23semidirect
465. #10587581C23semidirect
466. #10587581C23semidirect
469. #10587580C23semidirect
470. #10587580C23semidirect
471. #10587580C23semidirect
472. #10587580C23semidirect
473. #10587580C23semidirect
474. #10587580C23semidirect
475. #10587580C23semidirect
476. #10587580C23semidirect
478. #10587579C23semidirect
479. #10587579C23semidirect
480. #10587579C23semidirect
481. #10587579C23semidirect
482. #10587578C23semidirect
483. #10587578C23semidirect
484. C4⋊C4×D17C23semidirect
485. C4⋊C4×D17C23semidirect
486. #10587575C23semidirect
487. #10587575C23semidirect
488. #10587573C23semidirect
489. #10587572C23semidirect
490. #10587571C23semidirect
491. #10587571C23semidirect
492. #10587571C23semidirect
493. #10587571C23semidirect
496. #10587570C23semidirect
497. #10587570C23semidirect
498. #10587570C23semidirect
499. #10587570C23semidirect
500. #10587570C23semidirect
501. #10587570C23semidirect
502. #10587570C23semidirect
503. #10587570C23semidirect
504. #10587570C23semidirect
505. #10587570C23semidirect
506. #10587570C23semidirect
507. #10587570C23semidirect
508. #10587569C23semidirect
509. #10587569C23semidirect
510. #10587569C23semidirect
511. #10587569C23semidirect
514. #10587568C23semidirect
515. #10587568C23semidirect
516. #10587568C23semidirect
517. #10587568C23semidirect
518. #10587568C23semidirect
519. #10587568C23semidirect
520. #10587568C23semidirect
521. #10587568C23semidirect
522. #10587568C23semidirect
523. #10587567C23semidirect
524. #10587567C23semidirect
525. #10587567C23semidirect
526. #10587567C23semidirect
527. #10587567C23semidirect
528. #10587567C23semidirect
529. C22⋊C4×D17C23semidirect
530. C22⋊C4×D17C23semidirect
531. C22⋊C4×D17C23semidirect
532. C22⋊C4×D17C23semidirect
533. #10587565C23semidirect
534. #10587565C23semidirect
535. #10587563C23semidirect
536. #10587563C23semidirect
537. #10587560C23semidirect
538. #10587558C23semidirect
539. #10587558C23semidirect
540. #10587558C23semidirect
994. C2×#562D17semidirect
1110. #562C2×D17semidirect
1151. C2×#125C2×D17semidirect
1159. C2×#124C2×D17semidirect
1160. C2×#124C2×D17semidirect
1181. C2×#123C2×D17semidirect
1182. C2×#123C2×D17semidirect
1183. C2×#123C2×D17semidirect
1184. C2×#123C2×D17semidirect
1192. C2×C22⋊Q8C2×D17semidirect
1193. C2×C22⋊Q8C2×D17semidirect
1194. C2×C22⋊Q8C2×D17semidirect
1195. C2×C22⋊Q8C2×D17semidirect
1232. C2×#121C2×D17semidirect
1233. C2×#121C2×D17semidirect
1234. C2×#121C2×D17semidirect
1235. C2×#121C2×D17semidirect
1287. C2×C17#3542semidirect
1407. #125C22×D17semidirect
1415. #124C22×D17semidirect
1416. #124C22×D17semidirect
1435. #123C22×D17semidirect
1436. #123C22×D17semidirect
1437. #123C22×D17semidirect
1438. #123C22×D17semidirect
1446. C22⋊Q8C22×D17semidirect
1447. C22⋊Q8C22×D17semidirect
1448. C22⋊Q8C22×D17semidirect
1449. C22⋊Q8C22×D17semidirect
1485. #121C22×D17semidirect
1486. #121C22×D17semidirect
1487. #121C22×D17semidirect
1488. #121C22×D17semidirect
1620. C17C2×#3542semidirect
2155. C2#14543097direct (N × H)

Maximal subgroups

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

subgroupindex
#145430972
C2×#117635552
C2×#117635492
C2×#117635472
C2×#117635212
C2×#117635042
C2×#117634912
C2×#117634892
C2×#117634862
C2×#117634772
C2×#117634612
C2×#117634512
C2×#117634502
C2×#117634482
C2×#117634432
C2×#117634292
C2×#117634152
C2×#117634112
C2×#117634092
C2×#117633992
C2×#117633952
C2×#117633892
C2×#117633772
C2×#117633752
C2×#117633702
C2×#117633672
C2×#117633222
C2×#117633172
C2×#121×D172
C2×C17×#5622
C2×#354217