Finite Group Databasebeta

← C2×#14543095 #17941465

Subgroups — C2×#14543095 #17941465

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#14543095C2132yesmaximal, direct product factor
2C2×#11763556C211yesmaximal, characteristic, complemented
3C2×#11763554C211yesmaximal, characteristic, complemented
4C2×#11763548C211yesmaximal, characteristic, complemented
5C2×#11763547C211yesmaximal, characteristic, complemented
6C2×#11763523C211yesmaximal, characteristic, complemented
7C2×#11763504C211yesmaximal, characteristic, complemented
8C2×#11763496C211yesmaximal, characteristic, complemented
9C2×#11763485C211yesmaximal, characteristic, complemented
10C2×#11763482C211yesmaximal, characteristic, complemented
11C2×#11763477C211yesmaximal, characteristic, complemented
12C2×#11763457C211yesmaximal, characteristic, complemented
13C2×#11763453C211yesmaximal, characteristic, complemented
14C2×#11763451C211yesmaximal, characteristic, complemented
15C2×#11763449C211yesmaximal, characteristic, complemented
16C2×#11763446C211yesmaximal, characteristic, complemented
17C2×D4×C22⋊D17C211yesmaximal, characteristic, complemented
18C2×#11763427C211yesmaximal, characteristic, complemented
19C2×#11763412C211yesmaximal, characteristic, complemented
20C2×#11763411C211yesmaximal, characteristic, complemented
21C2×#11763409C211yesmaximal, characteristic, complemented
22C2×#11763394C211yesmaximal, characteristic, complemented
23C2×#11763391C211yesmaximal, characteristic, complemented
24C2×#11763388C211yesmaximal, characteristic, complemented
25C2×#11763376C211yesmaximal, characteristic, complemented
26C2×#11763374C211yesmaximal, characteristic, complemented
27C2×#11763374C211yesmaximal, characteristic, complemented
28C2×#11763369C211yesmaximal, characteristic, complemented
29C2×#11763315C211yesmaximal, characteristic, complemented
30C2×#11763315C211yesmaximal, characteristic, complemented
31C22×#10587625C211yesmaximal, characteristic, complemented
32C2×C17×#534C211yesmaximal, characteristic, complemented
33C22×#63252C2211yescharacteristic, complemented
34C22×#63252C2211yescharacteristic, complemented
35C22×#63254C2211yescharacteristic, complemented
36C22×#63254C2211yescharacteristic, complemented
37C22×#63254C2211yescharacteristic, complemented
38C23×C22⋊D17C2211yescharacteristic
39C23×C22⋊D17C2211yescharacteristic, complemented
40C23×C22⋊D17C2211yescharacteristic, complemented
41C22×D4×D17C2211yescharacteristic
42C24×Dic17C2211yescharacteristic, complemented
43#11763556C22116yescomplemented
44#11763554C22116yescomplemented
45#11763548C22116yescomplemented
46#11763547C22116yescomplemented
47#11763523C22116yescomplemented
48#11763504C22116yescomplemented
49#11763496C22116yescomplemented
50#11763485C22116yescomplemented
51#11763482C22116yescomplemented
52#11763477C22116yescomplemented
53#11763457C22116yescomplemented
54#11763453C22116yescomplemented
55#11763451C22116yescomplemented
56#11763449C22116yescomplemented
57#11763446C22116yescomplemented
58D4×C22⋊D17C22116yescomplemented
59#11763427C22116yescomplemented
60#11763412C22116yescomplemented
61#11763411C22116yescomplemented
62#11763409C22116yescomplemented
63#11763394C22116yescomplemented
64#11763391C22116yescomplemented
65#11763388C22116yescomplemented
66#11763376C22116yescomplemented
67#11763374C22116yescomplemented
68#11763374C22116yescomplemented
69#11763369C22116yescomplemented
70C2×#10587574C2211yescharacteristic, complemented
71C2×#10587626C2211yescharacteristic, complemented
72C2×#10587626C2211yescharacteristic, complemented
73C2×#10587626C2211yescharacteristic, complemented
74C2×#10587626C2211yescharacteristic, complemented
75C2×#10587626C2211yescharacteristic, complemented
76C2×#10587584C2211yescharacteristic, complemented
77C2×#10587584C2211yescharacteristic, complemented
78C2×#10587565C2211yescharacteristic, complemented
79C2×#10587565C2211yescharacteristic, complemented
80C2×#10587565C2211yescharacteristic, complemented
81C2×#10587565C2211yescharacteristic, complemented
82C2×#10587576C2211yescharacteristic, complemented
83C2×#10587575C2211yescharacteristic, complemented
84C2×#10587575C2211yescharacteristic, complemented
85C2×#10587622C2211yescharacteristic, complemented
86C2×#10587622C2211yescharacteristic, complemented
87C2×#10587622C2211yescharacteristic, complemented
88C2×#10587571C2211yescharacteristic, complemented
89C2×#10587571C2211yescharacteristic, complemented
90C2×#10587571C2211yescharacteristic, complemented
91C2×#10587571C2211yescharacteristic, complemented
92C2×#10587571C2211yescharacteristic, complemented
93C2×#10587571C2211yescharacteristic, complemented
94#11763315C22116yescomplemented
95#11763315C22116yescomplemented
96C2×#10587580C2211yescharacteristic, complemented
97C2×#10587580C2211yescharacteristic, complemented
98C2×#10587572C2211yescharacteristic, complemented
99C2×#10587572C2211yescharacteristic, complemented
100C2×#10587572C2211yescharacteristic, complemented
101C2×#10587572C2211yescharacteristic, complemented
102C2×#10587615C2211yescharacteristic, complemented
103C2×#10587615C2211yescharacteristic, complemented
104C2×#10587569C2211yescharacteristic, complemented
105C2×#10587569C2211yescharacteristic, complemented
106C2×#10587569C2211yescharacteristic, complemented
107C2×#10587569C2211yescharacteristic, complemented
108C2×#10587569C2211yescharacteristic, complemented
109C2×#10587569C2211yescharacteristic, complemented
110C2×#10587621C2211yescharacteristic
111C2×#10587621C2211yescharacteristic, complemented
112C2×#10587621C2211yescharacteristic, complemented
113C2×#10587621C2211yescharacteristic, complemented
114C2×#10587583C2211yescharacteristic, complemented
115C2×#10587610C2211yescharacteristic, complemented
116C2×#10587610C2211yescharacteristic, complemented
117C2×#10587582C2211yescharacteristic, complemented
118C2×#10587582C2211yescharacteristic, complemented
119C2×#10587564C2211yescharacteristic, complemented
120C2×#10587564C2211yescharacteristic, complemented
121C2×#10587564C2211yescharacteristic, complemented
122C2×#10587564C2211yescharacteristic, complemented
123C2×#10587564C2211yescharacteristic, complemented
124C2×#10587564C2211yescharacteristic, complemented
125C2×#10587581C2211yescharacteristic, complemented
126C2×#10587616C2211yescharacteristic, complemented
127C2×#10587616C2211yescharacteristic, complemented
128C2×#10587570C2211yescharacteristic, complemented
129C2×#10587570C2211yescharacteristic, complemented
130C2×#10587570C2211yescharacteristic, complemented
131C2×#10587570C2211yescharacteristic, complemented
132C2×#10587570C2211yescharacteristic, complemented
133C2×#10587570C2211yescharacteristic, complemented
134C2×#10587570C2211yescharacteristic, complemented
135C2×#10587570C2211yescharacteristic, complemented
136C2×#10587625C2211yescharacteristic
137C2×#10587625C2211yescharacteristic
138C2×#10587625C2211yescharacteristic
139C2×#10587625C2211yescharacteristic
140C2×#10587625C2211yescharacteristic, complemented
141C2×#10587625C2211yescharacteristic, complemented
142C2×#10587625C2211yescharacteristic, complemented
143C2×#10587625C2211yescharacteristic, complemented
144C2×#10587625C2211yescharacteristic, complemented
145C2×#10587625C2211yescharacteristic, complemented
146C2×#10587625C2211yescharacteristic, complemented
147C2×#10587625C2211yescharacteristic, complemented
148C2×#10587625C2211yescharacteristic, complemented
149C2×#10587625C2211yescharacteristic, complemented
150C2×#10587625C2211yescharacteristic, complemented
151C2×#10587625C2211yescharacteristic, complemented
152C2×#10587625C22116yescomplemented
153C2×#10587624C2211yescharacteristic, complemented
154C2×#10587624C2211yescharacteristic, complemented
155C2×#10587624C2211yescharacteristic, complemented
156C2×#10587624C2211yescharacteristic, complemented
157C2×#10587624C2211yescharacteristic, complemented
158C2×#10587624C2211yescharacteristic, complemented
159C2×#10587624C2211yescharacteristic, complemented
160C2×#10587624C2211yescharacteristic, complemented
161C2×#10587568C2211yescharacteristic, complemented
162C2×#10587568C2211yescharacteristic, complemented
163C2×#10587639C2211yescharacteristic
164C2×#10587639C2211yescharacteristic, complemented
165C2×#10587639C2211yescharacteristic, complemented
166C2×#10587639C2211yescharacteristic, complemented
167C2×#10587639C2211yescharacteristic, complemented
168C2×#10587639C2211yescharacteristic, complemented
169C2×#10587623C2211yescharacteristic
170C2×#10587623C2211yescharacteristic, complemented
171C2×#10587623C2211yescharacteristic, complemented
172C2×#10587623C2211yescharacteristic, complemented
173C2×#10587573C2211yescharacteristic, complemented
174C2×D4×Dic17C2211yescharacteristic
175C2×D4×Dic17C2211yescharacteristic, complemented
176C2×D4×Dic17C2211yescharacteristic, complemented
177C2×D4×Dic17C2211yescharacteristic, complemented
178C2×#10587579C2211yescharacteristic, complemented
179C2×C4×C22⋊D17C2211yescharacteristic, complemented
180C2×C4×C22⋊D17C2211yescharacteristic, complemented
181C2×C4×C22⋊D17C2211yescharacteristic, complemented
182C2×C4×C22⋊D17C2211yescharacteristic, complemented
183C2×#10587567C2211yescharacteristic, complemented
184C2×#10587567C2211yescharacteristic, complemented
185C2×#10587567C2211yescharacteristic, complemented
186C2×#10587567C2211yescharacteristic, complemented
187C2×#10587567C2211yescharacteristic, complemented
188C2×#10587567C2211yescharacteristic, complemented
189C2×#10587612C2211yescharacteristic, complemented
190C2×#10587612C2211yescharacteristic, complemented
191C2×#10587578C2211yescharacteristic, complemented
192C2×#10587563C2211yescharacteristic, complemented
193C2×#10587563C2211yescharacteristic, complemented
194C2×#10587563C2211yescharacteristic, complemented
195C2×#10587563C2211yescharacteristic, complemented
196C22×#63225C2211yescharacteristic, complemented
197C2×C4⋊C4×D17C2211yescharacteristic, complemented
198C22×C22⋊Dic17C2211yescharacteristic, complemented
199C22×C22⋊Dic17C2211yescharacteristic, complemented
200C22×#63227C2211yescharacteristic, complemented
201C2×C22⋊C4×D17C2211yescharacteristic, complemented
202C2×C22⋊C4×D17C2211yescharacteristic, complemented
203C23×D4×C17C2211yescharacteristic
204C23×D4×C17C2211yescharacteristic, complemented
205C17×#534C22116yescomplemented
206C2×C17×#123C2211yescharacteristic
207C2×C17×#123C2211yescharacteristic, complemented
208C2×C17×#123C2211yescharacteristic, complemented
209C2×C17×#123C2211yescharacteristic, complemented
210C2×C17×#121C2211yescharacteristic, complemented
211C2×C17×#121C2211yescharacteristic, complemented
212C2×C17×#121C2211yescharacteristic, complemented
213C2×C17×#121C2211yescharacteristic, complemented
214C2×C17×#120C2211yescharacteristic
215C2×C17×#120C2211yescharacteristic, complemented
216C2×C17×#120C2211yescharacteristic, complemented
217C2×C17×#120C2211yescharacteristic, complemented
218C22×C22⋊C4×C17C2211yescharacteristic, complemented
219C25×C17C2311yescharacteristic
220C25×C17C2311yescharacteristic
221C25×C17C2311yescharacteristic
222C24×D17C2311yescharacteristic
223C24×D17C2311yescharacteristic
224C22×D4×C17—44no—
225C22×D4×C17—44no—
226C22×D4×C17C2311yescharacteristic
227C22×D4×C17C2311yescharacteristic
228C22×D4×C17C2311yescharacteristic
229C22×D4×C17C2311yescharacteristic
230C22×D4×C17C2311yescharacteristic
231C22×D4×C17C2311yescharacteristic
232C22×D4×C17C2311yescharacteristic
233C22×D4×C17C2311yescharacteristic
234C22×D4×C17C2311yescharacteristic
235C22×D4×C17C2311yescharacteristic
236C22×D4×C17C2311yescharacteristic
237C22×D4×C17C2311yescharacteristic
238C22×D4×C17C2318yes—
239C22×D4×C17C2318yescomplemented
240C23×C4×C17C2311yescharacteristic
241C23×C4×C17C2311yescharacteristic
242C23×C4×C17C2311yescharacteristic
243C23×C4×C17C2311yescharacteristic
244C22×C22⋊D17—44no—
245C22×C22⋊D17—44no—
246C22×C22⋊D17—44no—
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⋊D17C2311yescharacteristic
257C22×C22⋊D17C2311yescharacteristic
258C22×C22⋊D17C2311yescharacteristic
259C22×C22⋊D17C2311yescharacteristic
260C22×C22⋊D17C2311yescharacteristic
261C22×C22⋊D17C2311yescharacteristic
262C22×C22⋊D17C2311yescharacteristic
263C22×C22⋊D17C2311yescharacteristic
264C22×C22⋊D17C2311yescharacteristic
265C22×C22⋊D17C2311yescharacteristic
266C22×C22⋊D17C2311yescharacteristic
267C22×C22⋊D17C2311yescharacteristic
268C22×C22⋊D17C2311yescharacteristic
269C22×C22⋊D17C2311yescharacteristic
270C22×C22⋊D17C2311yescharacteristic
271C22×C22⋊D17C2318yes—
272C22×C22⋊D17C2318yescomplemented
273C22×C22⋊D17C2318yescomplemented
274C23×Dic17—44no—
275C23×Dic17C2311yescharacteristic
276C23×Dic17C2311yescharacteristic
277C23×Dic17C2311yescharacteristic
278C23×Dic17C2311yescharacteristic
279C23×Dic17C2311yescharacteristic
280C23×Dic17C2311yescharacteristic
281C23×Dic17C2311yescharacteristic
282C23×Dic17C2311yescharacteristic
283C23×Dic17C2311yescharacteristic
284C23×Dic17C2311yescharacteristic
285C23×Dic17C2318yescomplemented
286C2×#63254—44no—
287C2×#63254—44no—
288C2×#63254—44no—
289C2×#63254C2318yescomplemented
290C2×#63254C2318yescomplemented
291C2×#63254C2318yescomplemented
292C2×D4×D17—44no—
293C2×D4×D17C2318yes—
294C2×#63252—44no—
295C2×#63252—44no—
296C2×#63252C2318yescomplemented
297C2×#63252C2318yescomplemented
298C22×D68C2311yescharacteristic
299C22×D68C2311yescharacteristic
300C22×D68C2311yescharacteristic
301C22×D68C2311yescharacteristic
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×Dic34C2311yescharacteristic
311C22×Dic34C2311yescharacteristic
312C22×Dic34C2311yescharacteristic
313C22×Dic34C2311yescharacteristic
314C17×#123C2318yes—
315C17×#123C2318yescomplemented
316C17×#123C2318yescomplemented
317C17×#123C2318yescomplemented
318C17×#121C2318yescomplemented
319C17×#121C2318yescomplemented
320C17×#121C2318yescomplemented
321C17×#121C2318yescomplemented
322C17×#120C2318yes—
323C17×#120C2318yescomplemented
324C17×#120C2318yescomplemented
325C17×#120C2318yescomplemented
326C2×C4⋊C4×C17C2311yescharacteristic
327C2×C4⋊C4×C17C2311yescharacteristic
328C2×C4⋊C4×C17C2311yescharacteristic
329C2×C4⋊C4×C17C2311yescharacteristic
330C2×C22⋊C4×C17C2311yescharacteristic
331C2×C22⋊C4×C17C2311yescharacteristic
332C2×C22⋊C4×C17C2311yescharacteristic
333C2×C22⋊C4×C17C2311yescharacteristic
334C2×C22⋊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×C17C2318yescomplemented
343#10587639C2318yes—
344#10587639C2318yescomplemented
345#10587639C2318yescomplemented
346#10587639C2318yescomplemented
347#10587639C2318yescomplemented
348#10587639C2318yescomplemented
349C2×C22⋊Dic17C2311yescharacteristic
350C2×C22⋊Dic17C2311yescharacteristic
351C2×C22⋊Dic17C2311yescharacteristic
352C2×C22⋊Dic17C2311yescharacteristic
353C2×C22⋊Dic17C2311yescharacteristic
354C2×C22⋊Dic17C2311yescharacteristic
355C2×C22⋊Dic17C2311yescharacteristic
356C2×C22⋊Dic17C2311yescharacteristic
357C2×C22⋊Dic17C2311yescharacteristic
358C2×C22⋊Dic17C2311yescharacteristic
359C2×C22⋊Dic17C2311yescharacteristic
360C2×C22⋊Dic17C2311yescharacteristic
361C2×C22⋊Dic17C2311yescharacteristic
362C2×C22⋊Dic17C2311yescharacteristic
363C2×C22⋊Dic17C2311yescharacteristic
364C2×C22⋊Dic17C2311yescharacteristic
365C2×C22⋊Dic17C2311yescharacteristic
366C2×C22⋊Dic17C2311yescharacteristic
367C2×C22⋊Dic17C2311yescharacteristic
368C2×C22⋊Dic17C2311yescharacteristic
369C2×C22⋊Dic17C2318yescomplemented
370C2×C22⋊Dic17C2318yescomplemented
371#10587626C2318yescomplemented
372#10587626C2318yescomplemented
373#10587626C2318yescomplemented
374#10587626C2318yescomplemented
375#10587626C2318yescomplemented
376#10587625C2318yes—
377#10587625C2318yes—
378#10587625C2318yes—
379#10587625C2318yes—
380#10587625C2318yescomplemented
381#10587625C2318yescomplemented
382#10587625C2318yescomplemented
383#10587625C2318yescomplemented
384#10587625C2318yescomplemented
385#10587625C2318yescomplemented
386#10587625C2318yescomplemented
387#10587625C2318yescomplemented
388#10587625C2318yescomplemented
389#10587625C2318yescomplemented
390#10587625C2318yescomplemented
391#10587625C2318yescomplemented
392#10587624C2318yescomplemented
393#10587624C2318yescomplemented
394#10587624C2318yescomplemented
395#10587624C2318yescomplemented
396#10587624C2318yescomplemented
397#10587624C2318yescomplemented
398#10587624C2318yescomplemented
399#10587624C2318yescomplemented
400#10587623C2318yes—
401#10587623C2318yescomplemented
402#10587623C2318yescomplemented
403#10587623C2318yescomplemented
404#10587622C2318yescomplemented
405#10587622C2318yescomplemented
406#10587622C2318yescomplemented
407#10587621C2318yes—
408#10587621C2318yescomplemented
409#10587621C2318yescomplemented
410#10587621C2318yescomplemented
411D4×Dic17C2318yes—
412D4×Dic17C2318yescomplemented
413D4×Dic17C2318yescomplemented
414D4×Dic17C2318yescomplemented
415#10587616C2318yescomplemented
416#10587616C2318yescomplemented
417#10587615C2318yescomplemented
418#10587615C2318yescomplemented
419C4×C22⋊D17C2318yescomplemented
420C4×C22⋊D17C2318yescomplemented
421C4×C22⋊D17C2318yescomplemented
422C4×C22⋊D17C2318yescomplemented
423C2×#63227C2311yescharacteristic
424C2×#63227C2311yescharacteristic
425C2×#63227C2311yescharacteristic
426C2×#63227C2311yescharacteristic
427C2×#63227C2311yescharacteristic
428C2×#63227C2311yescharacteristic
429C2×#63227C2311yescharacteristic
430C2×#63227C2311yescharacteristic
431C2×#63227C2311yescharacteristic
432C2×#63227C2311yescharacteristic
433C2×#63227C2311yescharacteristic
434C2×#63227C2311yescharacteristic
435C2×#63227C2311yescharacteristic
436C2×#63227C2311yescharacteristic
437C2×#63227C2311yescharacteristic
438C2×#63227C2311yescharacteristic
439C2×#63227C2318yescomplemented
440#10587612C2318yescomplemented
441#10587612C2318yescomplemented
442C2×C4⋊Dic17C2311yescharacteristic
443C2×C4⋊Dic17C2311yescharacteristic
444C2×C4⋊Dic17C2311yescharacteristic
445C2×C4⋊Dic17C2311yescharacteristic
446C2×C4⋊Dic17C2311yescharacteristic
447C2×C4⋊Dic17C2311yescharacteristic
448C2×C4⋊Dic17C2311yescharacteristic
449C2×C4⋊Dic17C2311yescharacteristic
450#10587610C2318yescomplemented
451#10587610C2318yescomplemented
452C2×#63225C2311yescharacteristic
453C2×#63225C2311yescharacteristic
454C2×#63225C2311yescharacteristic
455C2×#63225C2311yescharacteristic
456C2×#63225C2311yescharacteristic
457C2×#63225C2311yescharacteristic
458C2×#63225C2311yescharacteristic
459C2×#63225C2311yescharacteristic
460C2×#63225C2311yescharacteristic
461C2×#63225C2311yescharacteristic
462C2×#63225C2311yescharacteristic
463C2×#63225C2311yescharacteristic
464C2×#63225C2311yescharacteristic
465C2×#63225C2311yescharacteristic
466C2×#63225C2311yescharacteristic
467C2×#63225C2311yescharacteristic
468C2×#63225C2318yescomplemented
469C2×C4×Dic17C2311yescharacteristic
470C2×C4×Dic17C2311yescharacteristic
471C2×C4×Dic17C2311yescharacteristic
472C2×C4×Dic17C2311yescharacteristic
473C2×C4×Dic17C2311yescharacteristic
474C2×C4×Dic17C2311yescharacteristic
475C2×C4×Dic17C2311yescharacteristic
476C2×C4×Dic17C2311yescharacteristic
477#10587584C2318yescomplemented
478#10587584C2318yescomplemented
479#10587583C2318yescomplemented
480#10587582C2318yescomplemented
481#10587582C2318yescomplemented
482#10587581C2318yescomplemented
483#10587580C2318yescomplemented
484#10587580C2318yescomplemented
485#10587579C2318yescomplemented
486#10587578C2318yescomplemented
487C4⋊C4×D17C2318yescomplemented
488#10587576C2318yescomplemented
489#10587575C2318yescomplemented
490#10587575C2318yescomplemented
491#10587574C2318yescomplemented
492#10587573C2318yescomplemented
493#10587572C2318yescomplemented
494#10587572C2318yescomplemented
495#10587572C2318yescomplemented
496#10587572C2318yescomplemented
497#10587571C2318yescomplemented
498#10587571C2318yescomplemented
499#10587571C2318yescomplemented
500#10587571C2318yescomplemented
501#10587571C2318yescomplemented
502#10587571C2318yescomplemented
503#10587570C2318yescomplemented
504#10587570C2318yescomplemented
505#10587570C2318yescomplemented
506#10587570C2318yescomplemented
507#10587570C2318yescomplemented
508#10587570C2318yescomplemented
509#10587570C2318yescomplemented
510#10587570C2318yescomplemented
511#10587569C2318yescomplemented
512#10587569C2318yescomplemented
513#10587569C2318yescomplemented
514#10587569C2318yescomplemented
515#10587569C2318yescomplemented
516#10587569C2318yescomplemented
517#10587568C2318yescomplemented
518#10587568C2318yescomplemented
519#10587567C2318yescomplemented
520#10587567C2318yescomplemented
521#10587567C2318yescomplemented
522#10587567C2318yescomplemented
523#10587567C2318yescomplemented
524#10587567C2318yescomplemented
525C22⋊C4×D17C2318yescomplemented
526C22⋊C4×D17C2318yescomplemented
527#10587565C2318yescomplemented
528#10587565C2318yescomplemented
529#10587565C2318yescomplemented
530#10587565C2318yescomplemented
531#10587564C2318yescomplemented
532#10587564C2318yescomplemented
533#10587564C2318yescomplemented
534#10587564C2318yescomplemented
535#10587564C2318yescomplemented
536#10587564C2318yescomplemented
537#10587563C2318yescomplemented
538#10587563C2318yescomplemented
539#10587563C2318yescomplemented
540#10587563C2318yescomplemented
541C24×C17—24no—
542C24×C17—24no—
543C24×C17—42no—
544C24×C17—42no—
545C24×C17—42no—
546C24×C17—42no—
547C24×C17—42no—
548C24×C17—42no—
549C24×C17—42no—
550C24×C17C2411yescharacteristic
551C24×C17C2411yescharacteristic
552C24×C17C2411yescharacteristic
553C24×C17C2411yescharacteristic
554C24×C17C2411yescharacteristic
555C24×C17C2411yescharacteristic
556C24×C17C2411yescharacteristic
557C24×C17C2414yes—
558C24×C17C2414yes—
559C24×C17C2414yes—
560C23×D17—24no—
561C23×D17—42no—
562C23×D17—42no—
563C23×D17—42no—
564C23×D17—42no—
565C23×D17—42no—
566C23×D17C2411yescharacteristic
567C23×D17C2411yescharacteristic
568C23×D17C2411yescharacteristic
569C23×D17C2411yescharacteristic
570C23×D17C2414yes—
571C23×D17C2414yes—
572C2×D4×C17—24no—
573C2×D4×C17—24no—
574C2×D4×C17—42no—
575C2×D4×C17—42no—
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×C17—416no—
583C2×D4×C17—42no—
584C2×D4×C17—42no—
585C2×D4×C17—416no—
586C2×D4×C17C2414yes—
587C2×D4×C17C2414yes—
588C2×D4×C17C2414yes—
589C2×D4×C17C2414yes—
590C2×D4×C17C2414yes—
591C2×D4×C17C2414yes—
592C2×D4×C17C2414yes—
593C2×D4×C17C2414yes—
594C2×D4×C17C2414yes—
595C2×D4×C17C2414yes—
596C2×D4×C17C2414yes—
597C2×D4×C17C2414yes—
598C22×C4×C17—24no—
599C22×C4×C17—42no—
600C22×C4×C17—42no—
601C22×C4×C17—42no—
602C22×C4×C17C2414yes—
603C22×C4×C17C2411yescharacteristic
604C22×C4×C17C2411yescharacteristic
605C22×C4×C17C2411yescharacteristic
606C22×C4×C17C2411yescharacteristic
607C22×C4×C17C2411yescharacteristic
608C22×C4×C17C2411yescharacteristic
609C22×C4×C17C2411yescharacteristic
610C22×C4×C17C2411yescharacteristic
611C22×C4×C17C2414yes—
612C22×C4×C17C2414yes—
613C22×C4×C17C2414yes—
614C2×C22⋊D17—24no—
615C2×C22⋊D17—24no—
616C2×C22⋊D17—24no—
617C2×C22⋊D17—24no—
618C2×C22⋊D17—24no—
619C2×C22⋊D17—416no—
620C2×C22⋊D17—416no—
621C2×C22⋊D17—42no—
622C2×C22⋊D17—42no—
623C2×C22⋊D17—42no—
624C2×C22⋊D17—42no—
625C2×C22⋊D17—42no—
626C2×C22⋊D17—42no—
627C2×C22⋊D17—42no—
628C2×C22⋊D17—42no—
629C2×C22⋊D17—42no—
630C2×C22⋊D17—42no—
631C2×C22⋊D17—42no—
632C2×C22⋊D17—42no—
633C2×C22⋊D17—42no—
634C2×C22⋊D17—42no—
635C2×C22⋊D17—416no—
636C2×C22⋊D17—42no—
637C2×C22⋊D17—42no—
638C2×C22⋊D17—42no—
639C2×C22⋊D17—42no—
640C2×C22⋊D17—42no—
641C2×C22⋊D17C2414yes—
642C2×C22⋊D17C2414yes—
643C2×C22⋊D17C2414yes—
644C2×C22⋊D17C2414yes—
645C2×C22⋊D17C2414yes—
646C2×C22⋊D17C2414yes—
647C2×C22⋊D17C2414yes—
648C2×C22⋊D17C2414yes—
649C2×C22⋊D17C2414yes—
650C2×C22⋊D17C2414yes—
651C2×C22⋊D17C2414yes—
652C2×C22⋊D17C2414yes—
653C2×C22⋊D17C2414yes—
654C2×C22⋊D17C2414yes—
655C2×C22⋊D17C2414yes—
656C2×C22⋊D17C2414yes—
657C2×C22⋊D17C2414yes—
658C2×C22⋊D17C2414yes—
659C2×C22⋊D17C2414yes—
660C2×C22⋊D17C2414yes—
661C2×C22⋊D17C2414yes—
662C2×C22⋊D17C2414yes—
663C2×C22⋊D17C2414yes—
664C2×C22⋊D17C2414yes—
665C22×Dic17—24no—
666C22×Dic17—24no—
667C22×Dic17—24no—
668C22×Dic17—24no—
669C22×Dic17—24no—
670C22×Dic17—416no—
671C22×Dic17—42no—
672C22×Dic17—42no—
673C22×Dic17—42no—
674C22×Dic17—42no—
675C22×Dic17—42no—
676C22×Dic17C2411yescharacteristic
677C22×Dic17C2411yescharacteristic
678C22×Dic17C2411yescharacteristic
679C22×Dic17C2411yescharacteristic
680C22×Dic17C2411yescharacteristic
681C22×Dic17C2411yescharacteristic
682C22×Dic17C2411yescharacteristic
683C22×Dic17C2411yescharacteristic
684C22×Dic17C2411yescharacteristic
685C22×Dic17C2414yes—
686C22×Dic17C2414yes—
687C22×Dic17C2414yes—
688C22×Dic17C2414yes—
689C22×Dic17C2411yescharacteristic
690C22×Dic17C2414yes—
691C22×Dic17C2411yescharacteristic
692C22×Dic17C2414yes—
693C22×Dic17C2414yes—
694C22×Dic17C2414yes—
695C22×Dic17C2414yes—
696C22×Dic17C2414yes—
697C22×Dic17C2411yescharacteristic
698#63254—416no—
699#63254—416no—
700#63254—416no—
701D4×D17—416no—
702#63252—416no—
703#63252—416no—
704C2×D68—42no—
705C2×D68—42no—
706C2×D68—42no—
707C2×D68—42no—
708C2×D68C2414yes—
709C2×D68C2414yes—
710C2×D68C2414yes—
711C2×D68C2414yes—
712C2×C4×D17—24no—
713C2×C4×D17—42no—
714C2×C4×D17—42no—
715C2×C4×D17—42no—
716C2×C4×D17—42no—
717C2×C4×D17—42no—
718C2×C4×D17—42no—
719C2×C4×D17—42no—
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×Dic34—24no—
729C2×Dic34—42no—
730C2×Dic34—42no—
731C2×Dic34—42no—
732C2×Dic34C2414yes—
733C2×Dic34C2414yes—
734C2×Dic34C2414yes—
735C2×Dic34C2414yes—
736C4⋊C4×C17C2414yes—
737C4⋊C4×C17C2414yes—
738C4⋊C4×C17C2414yes—
739C4⋊C4×C17C2414yes—
740C22⋊C4×C17C2414yes—
741C22⋊C4×C17C2414yes—
742C22⋊C4×C17C2414yes—
743C22⋊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⋊Dic17C2414yes—
753C22⋊Dic17C2414yes—
754C22⋊Dic17C2414yes—
755C22⋊Dic17C2414yes—
756C22⋊Dic17C2414yes—
757C22⋊Dic17C2414yes—
758C22⋊Dic17C2414yes—
759C22⋊Dic17C2414yes—
760C22⋊Dic17C2414yes—
761C22⋊Dic17C2414yes—
762C22⋊Dic17C2414yes—
763C22⋊Dic17C2414yes—
764C22⋊Dic17C2414yes—
765C22⋊Dic17C2414yes—
766C22⋊Dic17C2414yes—
767C22⋊Dic17C2414yes—
768C22⋊Dic17C2414yes—
769C22⋊Dic17C2414yes—
770C22⋊Dic17C2414yes—
771C22⋊Dic17C2414yes—
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—
788C4⋊Dic17C2414yes—
789C4⋊Dic17C2414yes—
790C4⋊Dic17C2414yes—
791C4⋊Dic17C2414yes—
792C4⋊Dic17C2414yes—
793C4⋊Dic17C2414yes—
794C4⋊Dic17C2414yes—
795C4⋊Dic17C2414yes—
796#63225C2414yes—
797#63225C2414yes—
798#63225C2414yes—
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—
812C4×Dic17C2414yes—
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—28no—
831C23×C17—22no—
832C23×C17—22no—
833C23×C17—22no—
834C23×C17—22no—
835C23×C17—22no—
836C23×C17—22no—
837C23×C17—22no—
838C23×C17—22no—
839C23×C17—22no—
840C23×C17—22no—
841C23×C17—22no—
842C23×C17—28no—
843C23×C17—44no—
844C23×C17—44no—
845C23×C17—44no—
846C23×C17—44no—
847C23×C17—44no—
848C23×C17—44no—
849C23×C17—44no—
850C23×C17—416no—
851C23×C17—88no—
852C23×C17—88no—
853C23×C17H(5,𝔽2)14yes—
854C23×C17C2512yes—
855C23×C17C2512yes—
856C23×C17C2512yes—
857C23×C17C2512yes—
858C23×C17C2512yes—
859C23×C17C2512yes—
860C23×C17C2512yes—
861C23×C17C2511yescharacteristic
862C22×D17—22no—
863C22×D17—22no—
864C22×D17—22no—
865C22×D17—22no—
866C22×D17—22no—
867C22×D17—22no—
868C22×D17—22no—
869C22×D17—22no—
870C22×D17—22no—
871C22×D17—22no—
872C22×D17—22no—
873C22×D17—22no—
874C22×D17—28no—
875C22×D17—44no—
876C22×D17—44no—
877C22×D17—44no—
878C22×D17—44no—
879C22×D17—44no—
880C22×D17—88no—
881C22×D17—88no—
882C22×D17C2512yes—
883C22×D17C2512yes—
884C22×D17C2512yes—
885C22×D17C2512yes—
886D4×C17—28no—
887D4×C17—28no—
888D4×C17—44no—
889D4×C17—44no—
890D4×C17—44no—
891D4×C17—44no—
892D4×C17—44no—
893D4×C17—44no—
894D4×C17—44no—
895D4×C17—44no—
896D4×C17—44no—
897D4×C17—44no—
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—28no—
905C2×C4×C17—22no—
906C2×C4×C17—22no—
907C2×C4×C17—44no—
908C2×C4×C17—44no—
909C2×C4×C17—44no—
910C2×C4×C17C2512yes—
911C2×C4×C17C2512yes—
912C2×C4×C17C2512yes—
913C2×C4×C17C2512yes—
914C2×C4×C17C2512yes—
915C2×C4×C17C2512yes—
916C2×C4×C17C2512yes—
917C2×C4×C17C2512yes—
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—
937C22⋊D17—44no—
938C22⋊D17—44no—
939C22⋊D17—44no—
940C22⋊D17—44no—
941C22⋊D17—44no—
942C2×Dic17—22no—
943C2×Dic17—22no—
944C2×Dic17—22no—
945C2×Dic17—22no—
946C2×Dic17—22no—
947C2×Dic17—22no—
948C2×Dic17—22no—
949C2×Dic17—22no—
950C2×Dic17—28no—
951C2×Dic17—22no—
952C2×Dic17—22no—
953C2×Dic17—22no—
954C2×Dic17—28no—
955C2×Dic17—28no—
956C2×Dic17—28no—
957C2×Dic17—28no—
958C2×Dic17—44no—
959C2×Dic17—44no—
960C2×Dic17—44no—
961C2×Dic17—44no—
962C2×Dic17—44no—
963C2×Dic17H(5,𝔽2)14yes—
964C2×Dic17C2512yes—
965C2×Dic17C2512yes—
966C2×Dic17C2512yes—
967C2×Dic17C2512yes—
968C2×Dic17C2512yes—
969C2×Dic17C2512yes—
970C2×Dic17C2512yes—
971C2×Dic17C2512yes—
972C2×Dic17C2512yes—
973C2×Dic17C2512yes—
974C2×Dic17C2512yes—
975C2×Dic17C2512yes—
976D68—44no—
977D68—44no—
978D68—44no—
979D68—44no—
980C4×D17—28no—
981C4×D17—44no—
982C4×D17—44no—
983C4×D17—44no—
984C4×D17—44no—
985C4×D17—44no—
986C4×D17—44no—
987C4×D17—44no—
988Dic34—28no—
989Dic34—44no—
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×#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×#534D1711yescharacteristic, complemented
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—22no—
1037C22×C17—22no—
1038C22×C17—22no—
1039C22×C17—22no—
1040C22×C17—22no—
1041C22×C17—22no—
1042C22×C17—22no—
1043C22×C17—22no—
1044C22×C17—22no—
1045C22×C17—416no—
1046C22×C17—44no—
1047C22×C17—44no—
1048C22×C17—44no—
1049C22×C17—44no—
1050C22×C17—44no—
1051C22×C17—44no—
1052C22×C17—88no—
1053C22×C17—88no—
1054C22×C17C2×H(5,𝔽2)12yes—
1055C22×C17C2×H(5,𝔽2)14yes—
1056C22×C17C2×H(5,𝔽2)12yes—
1057C22×C17#58512yes—
1058C22×C17C2611yescharacteristic
1059C2×D17—22no—
1060C2×D17—22no—
1061C2×D17—22no—
1062C2×D17—22no—
1063C2×D17—22no—
1064C2×D17—22no—
1065C2×D17—22no—
1066C2×D17—22no—
1067C2×D17—22no—
1068C2×D17—22no—
1069C2×D17—22no—
1070C2×D17—22no—
1071C2×D17—44no—
1072C2×D17—44no—
1073C2×D17—44no—
1074C2×D17—44no—
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—
1085Dic17—22no—
1086Dic17—22no—
1087Dic17—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×D4C2×D1711yescharacteristic
1107C23×D4C2×D1711yescharacteristic, complemented
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#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#534C2×D17116yescomplemented
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×#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×#124—171no—
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
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⋊Q8—171no—
1195C2×C22⋊Q8—171no—
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—1716no—
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×#120C2×D1711yescharacteristic
1249C2×#120C2×D1711yescharacteristic, complemented
1250C2×#120C2×D1711yescharacteristic, complemented
1251C2×#120C2×D1711yescharacteristic, complemented
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⋊C4C2×D1711yescharacteristic, complemented
1283C2×C17—24no—
1284C2×C17—42no—
1285C2×C17—42no—
1286C2×C17—42no—
1287C2×C17—42no—
1288C2×C17—42no—
1289C2×C17—42no—
1290C2×C17#354214yescomplemented
1291C2×C17C22×H(5,𝔽2)11yescharacteristic
1292C2×C17C22×H(5,𝔽2)11yescharacteristic
1293C2×C17C2×#58511yescharacteristic
1294D17—42no—
1295D17—42no—
1296D17—42no—
1297D17—42no—
1298C25—171no—
1299C25—171no—
1300C25C22×D1711yescharacteristic
1301C25C22×D1711yescharacteristic
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×Q8—171no—
1317C22×D4—44no—
1318C22×D4—44no—
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—171no—
1338C22×D4—171no—
1339C22×D4—171no—
1340C22×D4—171no—
1341C22×D4—171no—
1342C22×D4—171no—
1343C22×D4—178no—
1344C22×D4—178no—
1345C22×D4—178no—
1346C22×D4—178no—
1347C22×D4—171no—
1348C22×D4—171no—
1349C22×D4—171no—
1350C22×D4—171no—
1351C22×D4—684no—
1352C22×D4—684no—
1353C22×D4—684no—
1354C22×D4—684no—
1355C22×D4C22×D1711yescharacteristic
1356C22×D4C22×D1711yescharacteristic
1357C22×D4C22×D1711yescharacteristic
1358C22×D4C22×D1711yescharacteristic
1359C22×D4C22×D1711yescharacteristic
1360C22×D4C22×D1711yescharacteristic
1361C22×D4C22×D1711yescharacteristic
1362C22×D4C22×D1711yescharacteristic
1363C22×D4C22×D1711yescharacteristic
1364C22×D4C22×D1711yescharacteristic
1365C22×D4C22×D1711yescharacteristic
1366C22×D4C22×D1711yescharacteristic
1367C22×D4C22×D1718yes—
1368C22×D4C22×D1718yescomplemented
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—178no—
1380C23×C4—171no—
1381C23×C4—171no—
1382C23×C4—171no—
1383C23×C4—171no—
1384C23×C4—171no—
1385C23×C4—171no—
1386C23×C4—171no—
1387C23×C4—171no—
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#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#124—178no—
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×D1718yes—
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⋊Q8—178no—
1449C22⋊Q8—178no—
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#120C22×D1718yes—
1502#120C22×D1718yescomplemented
1503#120C22×D1718yescomplemented
1504#120C22×D1718yescomplemented
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—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—171no—
1550C2×C4⋊C4—171no—
1551C2×C4⋊C4—171no—
1552C2×C4⋊C4—171no—
1553C2×C4⋊C4—178no—
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—178no—
1567C2×C22⋊C4—178no—
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—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—178no—
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—171no—
1597C2×C22⋊C4—178no—
1598C2×C22⋊C4—178no—
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×D1711yescharacteristic
1611C2×C22⋊C4C22×D1718yescomplemented
1612C2×C42—171no—
1613C2×C42—171no—
1614C2×C42—171no—
1615C2×C42—171no—
1616C2×C42—171no—
1617C2×C42—171no—
1618C2×C42—171no—
1619C2×C42—171no—
1620C17C2×#354211yescharacteristic, complemented, Sylow
1621C24—24no—
1622C24—24no—
1623C24—42no—
1624C24—42no—
1625C24—42no—
1626C24—42no—
1627C24—42no—
1628C24—42no—
1629C24—42no—
1630C24—171no—
1631C24—171no—
1632C24—171no—
1633C24—171no—
1634C24—174no—
1635C24—174no—
1636C24—344no—
1637C24—682no—
1638C24—682no—
1639C24—682no—
1640C24—682no—
1641C24—682no—
1642C24C23×D1711yescharacteristic
1643C24C23×D1711yescharacteristic
1644C24C23×D1711yescharacteristic
1645C24C23×D1711yescharacteristic
1646C24C23×D1711yescharacteristic
1647C24C23×D1711yescharacteristic
1648C24C23×D1711yescharacteristic
1649C24C23×D1714yes—
1650C24C23×D1714yes—
1651C24C23×D1714yes—
1652#41—6816no—
1653#41—6816no—
1654#41—6816no—
1655#41—6816no—
1656#41—6816no—
1657C2×Q8—174no—
1658C2×Q8—174no—
1659C2×Q8—174no—
1660C2×Q8—174no—
1661C2×Q8—344no—
1662C2×Q8—682no—
1663C2×Q8—682no—
1664C2×Q8—682no—
1665C2×D4—24no—
1666C2×D4—24no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—416no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—416no—
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—174no—
1706C2×D4—174no—
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—6816no—
1717C2×D4—6816no—
1718C2×D4—682no—
1719C2×D4—682no—
1720C2×D4—682no—
1721C2×D4—682no—
1722C2×D4—682no—
1723C2×D4—682no—
1724C2×D4—682no—
1725C2×D4—682no—
1726C2×D4—682no—
1727C2×D4—682no—
1728C2×D4—682no—
1729C2×D4—682no—
1730C2×D4—682no—
1731C2×D4—6816no—
1732C2×D4—682no—
1733C2×D4—682no—
1734C2×D4—682no—
1735C2×D4—682no—
1736C2×D4—682no—
1737C2×D4—682no—
1738C2×D4—6816no—
1739C2×D4C23×D1714yes—
1740C2×D4C23×D1714yes—
1741C2×D4C23×D1714yes—
1742C2×D4C23×D1714yes—
1743C2×D4C23×D1714yes—
1744C2×D4C23×D1714yes—
1745C2×D4C23×D1714yes—
1746C2×D4C23×D1714yes—
1747C2×D4C23×D1714yes—
1748C2×D4C23×D1714yes—
1749C2×D4C23×D1714yes—
1750C2×D4C23×D1714yes—
1751C22×C4—24no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—171no—
1756C22×C4—174no—
1757C22×C4—174no—
1758C22×C4—174no—
1759C22×C4—174no—
1760C22×C4—174no—
1761C22×C4—171no—
1762C22×C4—171no—
1763C22×C4—171no—
1764C22×C4—171no—
1765C22×C4—171no—
1766C22×C4—171no—
1767C22×C4—171no—
1768C22×C4—171no—
1769C22×C4—171no—
1770C22×C4—171no—
1771C22×C4—171no—
1772C22×C4—174no—
1773C22×C4—174no—
1774C22×C4—174no—
1775C22×C4—174no—
1776C22×C4—174no—
1777C22×C4—174no—
1778C22×C4—174no—
1779C22×C4—174no—
1780C22×C4—174no—
1781C22×C4—174no—
1782C22×C4—174no—
1783C22×C4—174no—
1784C22×C4—174no—
1785C22×C4—344no—
1786C22×C4—344no—
1787C22×C4—344no—
1788C22×C4—344no—
1789C22×C4—344no—
1790C22×C4—344no—
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×C4—682no—
1802C22×C4—682no—
1803C22×C4—682no—
1804C22×C4C23×D1714yes—
1805C22×C4C23×D1711yescharacteristic
1806C22×C4C23×D1711yescharacteristic
1807C22×C4C23×D1711yescharacteristic
1808C22×C4C23×D1711yescharacteristic
1809C22×C4C23×D1711yescharacteristic
1810C22×C4C23×D1711yescharacteristic
1811C22×C4C23×D1711yescharacteristic
1812C22×C4C23×D1711yescharacteristic
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⋊C4—174no—
1837C4⋊C4—174no—
1838C4⋊C4—174no—
1839C4⋊C4—174no—
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—
1899C42—174no—
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—28no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—28no—
1922C23—44no—
1923C23—44no—
1924C23—44no—
1925C23—44no—
1926C23—44no—
1927C23—44no—
1928C23—44no—
1929C23—416no—
1930C23—88no—
1931C23—88no—
1932C23—172no—
1933C23—172no—
1934C23—172no—
1935C23—172no—
1936C23—342no—
1937C23—342no—
1938C23—342no—
1939C23—342no—
1940C23—342no—
1941C23—342no—
1942C23—342no—
1943C23—342no—
1944C23—342no—
1945C23—342no—
1946C23—342no—
1947C23—342no—
1948C23—348no—
1949C23—684no—
1950C23—684no—
1951C23—684no—
1952C23—684no—
1953C23—684no—
1954C23—1368no—
1955C23—1368no—
1956C23#1058769114yes—
1957C23C24×D1712yes—
1958C23C24×D1712yes—
1959C23C24×D1712yes—
1960C23C24×D1712yes—
1961C23C24×D1712yes—
1962C23C24×D1712yes—
1963C23C24×D1712yes—
1964C23C24×D1711yescharacteristic
1965Q8—348no—
1966Q8—684no—
1967Q8—684no—
1968Q8—684no—
1969D4—28no—
1970D4—28no—
1971D4—44no—
1972D4—44no—
1973D4—44no—
1974D4—44no—
1975D4—44no—
1976D4—44no—
1977D4—44no—
1978D4—44no—
1979D4—44no—
1980D4—44no—
1981D4—348no—
1982D4—348no—
1983D4—348no—
1984D4—348no—
1985D4—348no—
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—28no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—44no—
2019C2×C4—44no—
2020C2×C4—44no—
2021C2×C4—174no—
2022C2×C4—172no—
2023C2×C4—172no—
2024C2×C4—172no—
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—342no—
2040C2×C4—342no—
2041C2×C4—342no—
2042C2×C4—342no—
2043C2×C4—342no—
2044C2×C4—342no—
2045C2×C4—342no—
2046C2×C4—348no—
2047C2×C4—342no—
2048C2×C4—342no—
2049C2×C4—342no—
2050C2×C4—342no—
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×C4—684no—
2061C2×C4—684no—
2062C2×C4—684no—
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—22no—
2084C22—22no—
2085C22—22no—
2086C22—22no—
2087C22—22no—
2088C22—22no—
2089C22—22no—
2090C22—22no—
2091C22—22no—
2092C22—416no—
2093C22—44no—
2094C22—44no—
2095C22—44no—
2096C22—44no—
2097C22—44no—
2098C22—44no—
2099C22—88no—
2100C22—88no—
2101C22—342no—
2102C22—342no—
2103C22—342no—
2104C22—342no—
2105C22—342no—
2106C22—342no—
2107C22—342no—
2108C22—342no—
2109C22—342no—
2110C22—342no—
2111C22—342no—
2112C22—342no—
2113C22—684no—
2114C22—684no—
2115C22—684no—
2116C22—684no—
2117C22—1368no—
2118C22—1368no—
2119C22H(5,𝔽2)×D1712yes—
2120C22C2×#1058769114yes—
2121C22C2×#1058769112yes—
2122C22#1176364412yes—
2123C22C25×D1711yescharacteristic
2124C4—22no—
2125C4—22no—
2126C4—22no—
2127C4—22no—
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—174no—
2133C4—342no—
2134C4—342no—
2135C4—342no—
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—42no—
2149C2—42no—
2150C2—42no—
2151C2—682no—
2152C2—682no—
2153C2—682no—
2154C2—682no—
2155C2#1454309514yesdirect product factor
2156C2C2×H(5,𝔽2)×D1711yescharacteristic
2157C2C22×#1058769111yescharacteristic
2158C2C2×#1176364411yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#534C2
socleC23×C17C25
hypercenterC2×#534D17
hypocenterC17C2×#3542
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#534

Complements

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

NH ≅ G/Ntype
1. #14543095C2direct (N × H)
2. C2×#11763556C2semidirect
3. C2×#11763554C2semidirect
4. C2×#11763548C2semidirect
5. C2×#11763547C2semidirect
6. C2×#11763523C2semidirect
7. C2×#11763504C2semidirect
8. C2×#11763496C2semidirect
9. C2×#11763485C2semidirect
10. C2×#11763482C2semidirect
11. C2×#11763477C2semidirect
12. C2×#11763457C2semidirect
13. C2×#11763453C2semidirect
14. C2×#11763451C2semidirect
15. C2×#11763449C2semidirect
16. C2×#11763446C2semidirect
17. C2×D4×C22⋊D17C2semidirect
18. C2×#11763427C2semidirect
19. C2×#11763412C2semidirect
20. C2×#11763411C2semidirect
21. C2×#11763409C2semidirect
22. C2×#11763394C2semidirect
23. C2×#11763391C2semidirect
24. C2×#11763388C2semidirect
25. C2×#11763376C2semidirect
26. C2×#11763374C2semidirect
27. C2×#11763374C2semidirect
28. C2×#11763369C2semidirect
29. C2×#11763315C2semidirect
30. C2×#11763315C2semidirect
31. C22×#10587625C2semidirect
32. C2×C17×#534C2semidirect
33. C22×#63252C22semidirect
34. C22×#63252C22semidirect
35. C22×#63254C22semidirect
36. C22×#63254C22semidirect
37. C22×#63254C22semidirect
39. C23×C22⋊D17C22semidirect
40. C23×C22⋊D17C22semidirect
42. C24×Dic17C22semidirect
43. #11763556C22semidirect
44. #11763554C22semidirect
45. #11763548C22semidirect
46. #11763547C22semidirect
47. #11763523C22semidirect
48. #11763504C22semidirect
49. #11763496C22semidirect
50. #11763485C22semidirect
51. #11763482C22semidirect
52. #11763477C22semidirect
53. #11763457C22semidirect
54. #11763453C22semidirect
55. #11763451C22semidirect
56. #11763449C22semidirect
57. #11763446C22semidirect
58. D4×C22⋊D17C22semidirect
59. #11763427C22semidirect
60. #11763412C22semidirect
61. #11763411C22semidirect
62. #11763409C22semidirect
63. #11763394C22semidirect
64. #11763391C22semidirect
65. #11763388C22semidirect
66. #11763376C22semidirect
67. #11763374C22semidirect
68. #11763374C22semidirect
69. #11763369C22semidirect
70. C2×#10587574C22semidirect
71. C2×#10587626C22semidirect
72. C2×#10587626C22semidirect
73. C2×#10587626C22semidirect
74. C2×#10587626C22semidirect
75. C2×#10587626C22semidirect
76. C2×#10587584C22semidirect
77. C2×#10587584C22semidirect
78. C2×#10587565C22semidirect
79. C2×#10587565C22semidirect
80. C2×#10587565C22semidirect
81. C2×#10587565C22semidirect
82. C2×#10587576C22semidirect
83. C2×#10587575C22semidirect
84. C2×#10587575C22semidirect
85. C2×#10587622C22semidirect
86. C2×#10587622C22semidirect
87. C2×#10587622C22semidirect
88. C2×#10587571C22semidirect
89. C2×#10587571C22semidirect
90. C2×#10587571C22semidirect
91. C2×#10587571C22semidirect
92. C2×#10587571C22semidirect
93. C2×#10587571C22semidirect
94. #11763315C22semidirect
95. #11763315C22semidirect
96. C2×#10587580C22semidirect
97. C2×#10587580C22semidirect
98. C2×#10587572C22semidirect
99. C2×#10587572C22semidirect
100. C2×#10587572C22semidirect
101. C2×#10587572C22semidirect
102. C2×#10587615C22semidirect
103. C2×#10587615C22semidirect
104. C2×#10587569C22semidirect
105. C2×#10587569C22semidirect
106. C2×#10587569C22semidirect
107. C2×#10587569C22semidirect
108. C2×#10587569C22semidirect
109. C2×#10587569C22semidirect
111. C2×#10587621C22semidirect
112. C2×#10587621C22semidirect
113. C2×#10587621C22semidirect
114. C2×#10587583C22semidirect
115. C2×#10587610C22semidirect
116. C2×#10587610C22semidirect
117. C2×#10587582C22semidirect
118. C2×#10587582C22semidirect
119. C2×#10587564C22semidirect
120. C2×#10587564C22semidirect
121. C2×#10587564C22semidirect
122. C2×#10587564C22semidirect
123. C2×#10587564C22semidirect
124. C2×#10587564C22semidirect
125. C2×#10587581C22semidirect
126. C2×#10587616C22semidirect
127. C2×#10587616C22semidirect
128. C2×#10587570C22semidirect
129. C2×#10587570C22semidirect
130. C2×#10587570C22semidirect
131. C2×#10587570C22semidirect
132. C2×#10587570C22semidirect
133. C2×#10587570C22semidirect
134. C2×#10587570C22semidirect
135. C2×#10587570C22semidirect
140. C2×#10587625C22semidirect
141. C2×#10587625C22semidirect
142. C2×#10587625C22semidirect
143. C2×#10587625C22semidirect
144. C2×#10587625C22semidirect
145. C2×#10587625C22semidirect
146. C2×#10587625C22semidirect
147. C2×#10587625C22semidirect
148. C2×#10587625C22semidirect
149. C2×#10587625C22semidirect
150. C2×#10587625C22semidirect
151. C2×#10587625C22semidirect
152. C2×#10587625C22semidirect
153. C2×#10587624C22semidirect
154. C2×#10587624C22semidirect
155. C2×#10587624C22semidirect
156. C2×#10587624C22semidirect
157. C2×#10587624C22semidirect
158. C2×#10587624C22semidirect
159. C2×#10587624C22semidirect
160. C2×#10587624C22semidirect
161. C2×#10587568C22semidirect
162. C2×#10587568C22semidirect
164. C2×#10587639C22semidirect
165. C2×#10587639C22semidirect
166. C2×#10587639C22semidirect
167. C2×#10587639C22semidirect
168. C2×#10587639C22semidirect
170. C2×#10587623C22semidirect
171. C2×#10587623C22semidirect
172. C2×#10587623C22semidirect
173. C2×#10587573C22semidirect
175. C2×D4×Dic17C22semidirect
176. C2×D4×Dic17C22semidirect
177. C2×D4×Dic17C22semidirect
178. C2×#10587579C22semidirect
179. C2×C4×C22⋊D17C22semidirect
180. C2×C4×C22⋊D17C22semidirect
181. C2×C4×C22⋊D17C22semidirect
182. C2×C4×C22⋊D17C22semidirect
183. C2×#10587567C22semidirect
184. C2×#10587567C22semidirect
185. C2×#10587567C22semidirect
186. C2×#10587567C22semidirect
187. C2×#10587567C22semidirect
188. C2×#10587567C22semidirect
189. C2×#10587612C22semidirect
190. C2×#10587612C22semidirect
191. C2×#10587578C22semidirect
192. C2×#10587563C22semidirect
193. C2×#10587563C22semidirect
194. C2×#10587563C22semidirect
195. C2×#10587563C22semidirect
196. C22×#63225C22semidirect
197. C2×C4⋊C4×D17C22semidirect
198. C22×C22⋊Dic17C22semidirect
199. C22×C22⋊Dic17C22semidirect
200. C22×#63227C22semidirect
201. C2×C22⋊C4×D17C22semidirect
202. C2×C22⋊C4×D17C22semidirect
204. C23×D4×C17C22semidirect
205. C17×#534C22semidirect
207. C2×C17×#123C22semidirect
208. C2×C17×#123C22semidirect
209. C2×C17×#123C22semidirect
210. C2×C17×#121C22semidirect
211. C2×C17×#121C22semidirect
212. C2×C17×#121C22semidirect
213. C2×C17×#121C22semidirect
215. C2×C17×#120C22semidirect
216. C2×C17×#120C22semidirect
217. C2×C17×#120C22semidirect
218. C22×C22⋊C4×C17C22semidirect
239. C22×D4×C17C23semidirect
272. C22×C22⋊D17C23semidirect
273. C22×C22⋊D17C23semidirect
285. C23×Dic17C23semidirect
289. C2×#63254C23semidirect
290. C2×#63254C23semidirect
291. C2×#63254C23semidirect
296. C2×#63252C23semidirect
297. C2×#63252C23semidirect
315. C17×#123C23semidirect
316. C17×#123C23semidirect
317. C17×#123C23semidirect
318. C17×#121C23semidirect
319. C17×#121C23semidirect
320. C17×#121C23semidirect
321. C17×#121C23semidirect
323. C17×#120C23semidirect
324. C17×#120C23semidirect
325. C17×#120C23semidirect
342. C2×C22⋊C4×C17C23semidirect
344. #10587639C23semidirect
345. #10587639C23semidirect
346. #10587639C23semidirect
347. #10587639C23semidirect
348. #10587639C23semidirect
369. C2×C22⋊Dic17C23semidirect
370. C2×C22⋊Dic17C23semidirect
371. #10587626C23semidirect
372. #10587626C23semidirect
373. #10587626C23semidirect
374. #10587626C23semidirect
375. #10587626C23semidirect
380. #10587625C23semidirect
381. #10587625C23semidirect
382. #10587625C23semidirect
383. #10587625C23semidirect
384. #10587625C23semidirect
385. #10587625C23semidirect
386. #10587625C23semidirect
387. #10587625C23semidirect
388. #10587625C23semidirect
389. #10587625C23semidirect
390. #10587625C23semidirect
391. #10587625C23semidirect
392. #10587624C23semidirect
393. #10587624C23semidirect
394. #10587624C23semidirect
395. #10587624C23semidirect
396. #10587624C23semidirect
397. #10587624C23semidirect
398. #10587624C23semidirect
399. #10587624C23semidirect
401. #10587623C23semidirect
402. #10587623C23semidirect
403. #10587623C23semidirect
404. #10587622C23semidirect
405. #10587622C23semidirect
406. #10587622C23semidirect
408. #10587621C23semidirect
409. #10587621C23semidirect
410. #10587621C23semidirect
412. D4×Dic17C23semidirect
413. D4×Dic17C23semidirect
414. D4×Dic17C23semidirect
415. #10587616C23semidirect
416. #10587616C23semidirect
417. #10587615C23semidirect
418. #10587615C23semidirect
419. C4×C22⋊D17C23semidirect
420. C4×C22⋊D17C23semidirect
421. C4×C22⋊D17C23semidirect
422. C4×C22⋊D17C23semidirect
439. C2×#63227C23semidirect
440. #10587612C23semidirect
441. #10587612C23semidirect
450. #10587610C23semidirect
451. #10587610C23semidirect
468. C2×#63225C23semidirect
477. #10587584C23semidirect
478. #10587584C23semidirect
479. #10587583C23semidirect
480. #10587582C23semidirect
481. #10587582C23semidirect
482. #10587581C23semidirect
483. #10587580C23semidirect
484. #10587580C23semidirect
485. #10587579C23semidirect
486. #10587578C23semidirect
487. C4⋊C4×D17C23semidirect
488. #10587576C23semidirect
489. #10587575C23semidirect
490. #10587575C23semidirect
491. #10587574C23semidirect
492. #10587573C23semidirect
493. #10587572C23semidirect
494. #10587572C23semidirect
495. #10587572C23semidirect
496. #10587572C23semidirect
497. #10587571C23semidirect
498. #10587571C23semidirect
499. #10587571C23semidirect
500. #10587571C23semidirect
501. #10587571C23semidirect
502. #10587571C23semidirect
503. #10587570C23semidirect
504. #10587570C23semidirect
505. #10587570C23semidirect
506. #10587570C23semidirect
507. #10587570C23semidirect
508. #10587570C23semidirect
509. #10587570C23semidirect
510. #10587570C23semidirect
511. #10587569C23semidirect
512. #10587569C23semidirect
513. #10587569C23semidirect
514. #10587569C23semidirect
515. #10587569C23semidirect
516. #10587569C23semidirect
517. #10587568C23semidirect
518. #10587568C23semidirect
519. #10587567C23semidirect
520. #10587567C23semidirect
521. #10587567C23semidirect
522. #10587567C23semidirect
523. #10587567C23semidirect
524. #10587567C23semidirect
525. C22⋊C4×D17C23semidirect
526. C22⋊C4×D17C23semidirect
527. #10587565C23semidirect
528. #10587565C23semidirect
529. #10587565C23semidirect
530. #10587565C23semidirect
531. #10587564C23semidirect
532. #10587564C23semidirect
533. #10587564C23semidirect
534. #10587564C23semidirect
535. #10587564C23semidirect
536. #10587564C23semidirect
537. #10587563C23semidirect
538. #10587563C23semidirect
539. #10587563C23semidirect
540. #10587563C23semidirect
1020. C2×#534D17semidirect
1107. C23×D4C2×D17semidirect
1136. #534C2×D17semidirect
1182. C2×#123C2×D17semidirect
1183. C2×#123C2×D17semidirect
1184. C2×#123C2×D17semidirect
1232. C2×#121C2×D17semidirect
1233. C2×#121C2×D17semidirect
1234. C2×#121C2×D17semidirect
1235. C2×#121C2×D17semidirect
1249. C2×#120C2×D17semidirect
1250. C2×#120C2×D17semidirect
1251. C2×#120C2×D17semidirect
1282. C22×C22⋊C4C2×D17semidirect
1290. C2×C17#3542semidirect
1368. C22×D4C22×D17semidirect
1436. #123C22×D17semidirect
1437. #123C22×D17semidirect
1438. #123C22×D17semidirect
1485. #121C22×D17semidirect
1486. #121C22×D17semidirect
1487. #121C22×D17semidirect
1488. #121C22×D17semidirect
1502. #120C22×D17semidirect
1503. #120C22×D17semidirect
1504. #120C22×D17semidirect
1611. C2×C22⋊C4C22×D17semidirect
1620. C17C2×#3542semidirect
2155. C2#14543095direct (N × H)

Maximal subgroups

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

subgroupindex
#145430952
C2×#117635562
C2×#117635542
C2×#117635482
C2×#117635472
C2×#117635232
C2×#117635042
C2×#117634962
C2×#117634852
C2×#117634822
C2×#117634772
C2×#117634572
C2×#117634532
C2×#117634512
C2×#117634492
C2×#117634462
C2×D4×C22⋊D172
C2×#117634272
C2×#117634122
C2×#117634112
C2×#117634092
C2×#117633942
C2×#117633912
C2×#117633882
C2×#117633762
C2×#117633742
C2×#117633692
C2×#117633152
C22×#105876252
C2×C17×#5342
C2×#354217