Finite Group Databasebeta

← C2×#14542999 #17941543

Subgroups — C2×#14542999 #17941543

Order 4352.

7962 conjugacy classes of subgroups.

The subgroup lattice has 2088 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542999C2132yesmaximal, direct product factor
2C2×#11763556C211yesmaximal, characteristic, complemented
3C2×#11763554C211yesmaximal, characteristic, complemented
4C2×#11763554C211yesmaximal, characteristic, complemented
5C2×#11763553C211yesmaximal, characteristic, complemented
6C2×#11763518C211yesmaximal, characteristic, complemented
7C2×#11763513C211yesmaximal, characteristic, complemented
8C2×#11763468C211yesmaximal, characteristic, complemented
9C2×#11763465C211yesmaximal, characteristic, complemented
10C2×#11763458C211yesmaximal, characteristic, complemented
11C2×#11763457C211yesmaximal, characteristic, complemented
12C2×#11763453C211yesmaximal, characteristic, complemented
13C2×#11763449C211yesmaximal, characteristic, complemented
14C2×#11763449C211yesmaximal, characteristic, complemented
15C2×#11763446C211yesmaximal, characteristic, complemented
16C2×#11763446C211yesmaximal, characteristic, complemented
17C2×#11763435C211yesmaximal, characteristic, complemented
18C2×#11763434C211yesmaximal, characteristic, complemented
19C2×#11763427C211yesmaximal, characteristic, complemented
20C2×#11763423C211yesmaximal, characteristic, complemented
21C2×#11763403C211yesmaximal, characteristic, complemented
22C2×#11763401C211yesmaximal, characteristic, complemented
23C2×#11763394C211yesmaximal, characteristic, complemented
24C2×#11763392C211yesmaximal, characteristic, complemented
25C2×#11763388C211yesmaximal, characteristic, complemented
26C2×#11763387C211yesmaximal, characteristic, complemented
27C2×#11763386C211yesmaximal, characteristic, complemented
28C2×#11763386C211yesmaximal, characteristic, complemented
29C2×#11763315C211yesmaximal, characteristic, complemented
30C22×#10587564C211yesmaximal, characteristic, complemented
31C22×#10587625C211yesmaximal, characteristic, complemented
32C2×C17×#546C211yesmaximal, characteristic, complemented
33C22×#63252C2211yescharacteristic, complemented
34C22×#63252C2211yescharacteristic, complemented
35C22×#63254C2211yescharacteristic, complemented
36C22×#63254C2211yescharacteristic, complemented
37C22×#63254C2211yescharacteristic, complemented
38C22×#63254C2211yescharacteristic, complemented
39C23×Dic34C2211yescharacteristic, complemented
40C23×C22⋊D17C2211yescharacteristic
41C23×C22⋊D17C2211yescharacteristic
42C24×Dic17C2211yescharacteristic
43#11763556C22116yescomplemented
44#11763554C22116yescomplemented
45#11763554C22116yescomplemented
46#11763553C22116yescomplemented
47#11763518C22116yescomplemented
48#11763513C22116yescomplemented
49#11763468C22116yescomplemented
50#11763465C22116yescomplemented
51#11763458C22116yescomplemented
52#11763457C22116yescomplemented
53#11763453C22116yescomplemented
54#11763449C22116yescomplemented
55#11763449C22116yescomplemented
56#11763446C22116yescomplemented
57#11763446C22116yescomplemented
58#11763435C22116yescomplemented
59#11763434C22116yescomplemented
60#11763427C22116yescomplemented
61#11763423C22116yescomplemented
62#11763403C22116yescomplemented
63#11763401C22116yescomplemented
64#11763394C22116yescomplemented
65#11763392C22116yescomplemented
66#11763388C22116yescomplemented
67#11763387C22116yescomplemented
68#11763386C22116yescomplemented
69#11763386C22116yescomplemented
70C2×#10587574C2211yescharacteristic, complemented
71C2×#10587630C2211yescharacteristic, complemented
72C2×#10587584C2211yescharacteristic, complemented
73C2×#10587562C2211yescharacteristic, complemented
74C2×#10587565C2211yescharacteristic, complemented
75C2×#10587565C2211yescharacteristic, complemented
76C2×#10587556C2211yescharacteristic, complemented
77C2×#10587576C2211yescharacteristic, complemented
78C2×#10587575C2211yescharacteristic, complemented
79C2×#10587575C2211yescharacteristic, complemented
80C2×#10587561C2211yescharacteristic, complemented
81C2×#10587622C2211yescharacteristic, complemented
82C2×#10587622C2211yescharacteristic, complemented
83C2×#10587571C2211yescharacteristic, complemented
84C2×#10587571C2211yescharacteristic, complemented
85C2×#10587571C2211yescharacteristic, complemented
86C2×#10587571C2211yescharacteristic, complemented
87C2×#10587571C2211yescharacteristic, complemented
88C2×#10587571C2211yescharacteristic, complemented
89#11763315C22116yescomplemented
90C2×#10587580C2211yescharacteristic, complemented
91C2×#10587572C2211yescharacteristic, complemented
92C2×#10587572C2211yescharacteristic, complemented
93C2×#10587572C2211yescharacteristic, complemented
94C2×#10587615C2211yescharacteristic, complemented
95C2×#10587615C2211yescharacteristic, complemented
96C2×#10587615C2211yescharacteristic, complemented
97C2×#10587569C2211yescharacteristic, complemented
98C2×#10587569C2211yescharacteristic, complemented
99C2×#10587569C2211yescharacteristic, complemented
100C2×#10587569C2211yescharacteristic, complemented
101C2×#10587569C2211yescharacteristic, complemented
102C2×#10587621C2211yescharacteristic, complemented
103C2×#10587621C2211yescharacteristic, complemented
104C2×#10587621C2211yescharacteristic, complemented
105C2×#10587621C2211yescharacteristic, complemented
106C2×#10587583C2211yescharacteristic, complemented
107C2×#10587583C2211yescharacteristic, complemented
108C2×#10587610C2211yescharacteristic
109C2×#10587610C2211yescharacteristic, complemented
110C2×#10587610C2211yescharacteristic, complemented
111C2×#10587610C2211yescharacteristic, complemented
112C2×#10587610C2211yescharacteristic, complemented
113C2×#10587610C2211yescharacteristic, complemented
114C2×#10587582C2211yescharacteristic, complemented
115C2×#10587582C2211yescharacteristic, complemented
116C2×#10587582C2211yescharacteristic, complemented
117C2×#10587582C2211yescharacteristic, complemented
118C2×#10587582C2211yescharacteristic, complemented
119C2×#10587582C2211yescharacteristic, complemented
120C2×#10587564C2211yescharacteristic
121C2×#10587564C2211yescharacteristic
122C2×#10587564C2211yescharacteristic
123C2×#10587564C2211yescharacteristic
124C2×#10587564C2211yescharacteristic
125C2×#10587564C2211yescharacteristic
126C2×#10587564C2211yescharacteristic
127C2×#10587564C2211yescharacteristic, complemented
128C2×#10587564C2211yescharacteristic, complemented
129C2×#10587564C2211yescharacteristic, complemented
130C2×#10587564C2211yescharacteristic, complemented
131C2×#10587564C2211yescharacteristic, complemented
132C2×#10587564C2211yescharacteristic, complemented
133C2×#10587564C2211yescharacteristic, complemented
134C2×#10587564C2211yescharacteristic, complemented
135C2×#10587564C2211yescharacteristic, complemented
136C2×#10587564C2211yescharacteristic, complemented
137C2×#10587564C2211yescharacteristic, complemented
138C2×#10587564C22116yescomplemented
139C2×#10587632C2211yescharacteristic, complemented
140C2×#10587632C2211yescharacteristic, complemented
141C2×#10587632C2211yescharacteristic, complemented
142C2×#10587616C2211yescharacteristic, complemented
143C2×#10587616C2211yescharacteristic, complemented
144C2×#10587616C2211yescharacteristic, complemented
145C2×#10587570C2211yescharacteristic, complemented
146C2×#10587570C2211yescharacteristic, complemented
147C2×#10587570C2211yescharacteristic, complemented
148C2×#10587570C2211yescharacteristic, complemented
149C2×#10587570C2211yescharacteristic, complemented
150C2×#10587625C2211yescharacteristic
151C2×#10587625C2211yescharacteristic
152C2×#10587625C2211yescharacteristic
153C2×#10587625C2211yescharacteristic
154C2×#10587625C2211yescharacteristic
155C2×#10587625C2211yescharacteristic
156C2×#10587625C2211yescharacteristic
157C2×#10587625C2211yescharacteristic
158C2×#10587625C2211yescharacteristic
159C2×#10587625C22116yescomplemented
160C2×#10587625C2211yescharacteristic, complemented
161C2×#10587625C2211yescharacteristic, complemented
162C2×#10587625C2211yescharacteristic, complemented
163C2×#10587625C2211yescharacteristic, complemented
164C2×#10587625C2211yescharacteristic, complemented
165C2×#10587625C2211yescharacteristic, complemented
166C2×#10587625C2211yescharacteristic, complemented
167C2×#10587625C2211yescharacteristic, complemented
168C2×#10587624C2211yescharacteristic, complemented
169C2×#10587624C2211yescharacteristic, complemented
170C2×#10587624C2211yescharacteristic, complemented
171C2×#10587624C2211yescharacteristic, complemented
172C2×#10587568C2211yescharacteristic
173C2×#10587639C2211yescharacteristic
174C2×#10587639C2211yescharacteristic
175C2×#10587623C2211yescharacteristic
176C2×C4×Dic34C2211yescharacteristic, complemented
177C2×#10587573C2211yescharacteristic, complemented
178C2×D4×Dic17C2211yescharacteristic
179C2×D4×Dic17C2211yescharacteristic
180C2×D4×Dic17C2211yescharacteristic, complemented
181C2×D4×Dic17C2211yescharacteristic, complemented
182C2×C4×C22⋊D17C2211yescharacteristic
183C2×C4×C22⋊D17C2211yescharacteristic, complemented
184C2×C4×C22⋊D17C2211yescharacteristic, complemented
185C2×#10587567C2211yescharacteristic
186C2×#10587567C2211yescharacteristic
187C2×#10587567C2211yescharacteristic, complemented
188C2×#10587567C2211yescharacteristic, complemented
189C2×#10587567C2211yescharacteristic, complemented
190C2×#10587563C2211yescharacteristic, complemented
191C22×C4⋊Dic17C2211yescharacteristic, complemented
192C22×#63225C2211yescharacteristic
193C22×#63225C2211yescharacteristic, complemented
194C22×#63225C2211yescharacteristic, complemented
195C22×#63225C2211yescharacteristic, complemented
196C2×C4⋊C4×D17C2211yescharacteristic, complemented
197C22×C22⋊Dic17C2211yescharacteristic
198C22×C22⋊Dic17C2211yescharacteristic
199C22×C22⋊Dic17C2211yescharacteristic
200C22×#63227C2211yescharacteristic
201C2×C22⋊C4×D17C2211yescharacteristic
202C2×C22⋊C4×D17C2211yescharacteristic
203C22×#41×C17C2211yescharacteristic, complemented
204C23×D4×C17C2211yescharacteristic
205C17×#546C22116yescomplemented
206C2×C17×#124C2211yescharacteristic, complemented
207C2×C17×#123C2211yescharacteristic, complemented
208C2×C17×#123C2211yescharacteristic, complemented
209C2×C17×C22⋊Q8C2211yescharacteristic
210C2×C17×#121C2211yescharacteristic, complemented
211C2×C17×#121C2211yescharacteristic, complemented
212C2×C17×#121C2211yescharacteristic, complemented
213C2×C17×#120C2211yescharacteristic
214C2×C17×#120C2211yescharacteristic
215C2×C4×D4×C17C2211yescharacteristic
216C2×C4×D4×C17C2211yescharacteristic, complemented
217C22×C22⋊C4×C17C2211yescharacteristic
218C22×C22⋊C4×C17C2211yescharacteristic
219C25×C17C2311yescharacteristic
220C25×C17C2311yescharacteristic
221C24×D17C2311yescharacteristic
222C2×#41×C17—44no—
223C2×#41×C17C2318yescomplemented
224C22×Q8×C17C2311yescharacteristic
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×C17C2318yes—
236C23×C4×C17C2311yescharacteristic
237C23×C4×C17C2311yescharacteristic
238C23×C4×C17C2311yescharacteristic
239C23×C4×C17C2311yescharacteristic
240C23×C4×C17C2311yescharacteristic
241C23×C4×C17C2311yescharacteristic
242C22×C22⋊D17—44no—
243C22×C22⋊D17—44no—
244C22×C22⋊D17C2311yescharacteristic
245C22×C22⋊D17C2311yescharacteristic
246C22×C22⋊D17C2311yescharacteristic
247C22×C22⋊D17C2311yescharacteristic
248C22×C22⋊D17C2311yescharacteristic
249C22×C22⋊D17C2311yescharacteristic
250C22×C22⋊D17C2311yescharacteristic
251C22×C22⋊D17C2311yescharacteristic
252C22×C22⋊D17C2311yescharacteristic
253C22×C22⋊D17C2311yescharacteristic
254C22×C22⋊D17C2311yescharacteristic
255C22×C22⋊D17C2311yescharacteristic
256C22×C22⋊D17C2311yescharacteristic
257C22×C22⋊D17C2311yescharacteristic
258C22×C22⋊D17C2311yescharacteristic
259C22×C22⋊D17C2311yescharacteristic
260C22×C22⋊D17C2318yes—
261C22×C22⋊D17C2318yes—
262C23×Dic17—44no—
263C23×Dic17C2311yescharacteristic
264C23×Dic17C2311yescharacteristic
265C23×Dic17C2311yescharacteristic
266C23×Dic17C2311yescharacteristic
267C23×Dic17C2311yescharacteristic
268C23×Dic17C2311yescharacteristic
269C23×Dic17C2311yescharacteristic
270C23×Dic17C2311yescharacteristic
271C23×Dic17C2311yescharacteristic
272C23×Dic17C2311yescharacteristic
273C23×Dic17C2311yescharacteristic
274C23×Dic17C2311yescharacteristic
275C23×Dic17C2311yescharacteristic
276C23×Dic17C2318yes—
277C2×#63254—44no—
278C2×#63254—44no—
279C2×#63254—44no—
280C2×#63254—44no—
281C2×#63254C2318yescomplemented
282C2×#63254C2318yescomplemented
283C2×#63254C2318yescomplemented
284C2×#63254C2318yescomplemented
285C2×#63252—44no—
286C2×#63252—44no—
287C2×#63252C2318yescomplemented
288C2×#63252C2318yescomplemented
289C22×D68C2311yescharacteristic
290C22×D68C2311yescharacteristic
291C22×C4×D17C2311yescharacteristic
292C22×C4×D17C2311yescharacteristic
293C22×C4×D17C2311yescharacteristic
294C22×C4×D17C2311yescharacteristic
295C22×C4×D17C2311yescharacteristic
296C22×C4×D17C2311yescharacteristic
297C22×C4×D17C2311yescharacteristic
298C22×Dic34—44no—
299C22×Dic34C2311yescharacteristic
300C22×Dic34C2311yescharacteristic
301C22×Dic34C2311yescharacteristic
302C22×Dic34C2311yescharacteristic
303C22×Dic34C2311yescharacteristic
304C22×Dic34C2311yescharacteristic
305C22×Dic34C2311yescharacteristic
306C22×Dic34C2311yescharacteristic
307C22×Dic34C2318yescomplemented
308C17×#124C2318yescomplemented
309C17×#123C2318yescomplemented
310C17×#123C2318yescomplemented
311C17×C22⋊Q8C2318yes—
312C17×#121C2318yescomplemented
313C17×#121C2318yescomplemented
314C17×#121C2318yescomplemented
315C17×#120C2318yes—
316C17×#120C2318yes—
317C4×D4×C17C2318yes—
318C4×D4×C17C2318yescomplemented
319C2×C4⋊C4×C17C2311yescharacteristic
320C2×C4⋊C4×C17C2311yescharacteristic
321C2×C4⋊C4×C17C2311yescharacteristic
322C2×C4⋊C4×C17C2311yescharacteristic
323C2×C22⋊C4×C17C2311yescharacteristic
324C2×C22⋊C4×C17C2311yescharacteristic
325C2×C22⋊C4×C17C2311yescharacteristic
326C2×C22⋊C4×C17C2311yescharacteristic
327C2×C22⋊C4×C17C2311yescharacteristic
328C2×C22⋊C4×C17C2311yescharacteristic
329C2×C22⋊C4×C17C2311yescharacteristic
330C2×C22⋊C4×C17C2318yes—
331C2×C22⋊C4×C17C2318yes—
332C2×C22⋊C4×C17C2311yescharacteristic
333C2×C22⋊C4×C17C2311yescharacteristic
334C2×C22⋊C4×C17C2311yescharacteristic
335C2×C22⋊C4×C17C2311yescharacteristic
336C2×C22⋊C4×C17C2311yescharacteristic
337C2×C42×C17C2311yescharacteristic
338#10587639C2318yes—
339#10587639C2318yes—
340C2×C22⋊Dic17C2311yescharacteristic
341C2×C22⋊Dic17C2311yescharacteristic
342C2×C22⋊Dic17C2311yescharacteristic
343C2×C22⋊Dic17C2311yescharacteristic
344C2×C22⋊Dic17C2311yescharacteristic
345C2×C22⋊Dic17C2311yescharacteristic
346C2×C22⋊Dic17C2311yescharacteristic
347C2×C22⋊Dic17C2311yescharacteristic
348C2×C22⋊Dic17C2311yescharacteristic
349C2×C22⋊Dic17C2311yescharacteristic
350C2×C22⋊Dic17C2311yescharacteristic
351C2×C22⋊Dic17C2318yes—
352C2×C22⋊Dic17C2318yes—
353C2×C22⋊Dic17C2318yes—
354C2×C22⋊Dic17C2311yescharacteristic
355C2×C22⋊Dic17C2311yescharacteristic
356C2×C22⋊Dic17C2311yescharacteristic
357C2×C22⋊Dic17C2311yescharacteristic
358C2×C22⋊Dic17C2311yescharacteristic
359C2×C22⋊Dic17C2311yescharacteristic
360C2×C22⋊Dic17C2311yescharacteristic
361#10587632C2318yescomplemented
362#10587632C2318yescomplemented
363#10587632C2318yescomplemented
364#10587630C2318yescomplemented
365#10587625C2318yes—
366#10587625C2318yes—
367#10587625C2318yes—
368#10587625C2318yes—
369#10587625C2318yes—
370#10587625C2318yes—
371#10587625C2318yes—
372#10587625C2318yes—
373#10587625C2318yes—
374#10587625C2318yescomplemented
375#10587625C2318yescomplemented
376#10587625C2318yescomplemented
377#10587625C2318yescomplemented
378#10587625C2318yescomplemented
379#10587625C2318yescomplemented
380#10587625C2318yescomplemented
381#10587625C2318yescomplemented
382#10587624C2318yescomplemented
383#10587624C2318yescomplemented
384#10587624C2318yescomplemented
385#10587624C2318yescomplemented
386#10587623C2318yes—
387#10587622C2318yescomplemented
388#10587622C2318yescomplemented
389#10587621C2318yescomplemented
390#10587621C2318yescomplemented
391#10587621C2318yescomplemented
392#10587621C2318yescomplemented
393D4×Dic17C2318yes—
394D4×Dic17C2318yes—
395D4×Dic17C2318yescomplemented
396D4×Dic17C2318yescomplemented
397#10587616C2318yescomplemented
398#10587616C2318yescomplemented
399#10587616C2318yescomplemented
400#10587615C2318yescomplemented
401#10587615C2318yescomplemented
402#10587615C2318yescomplemented
403C4×C22⋊D17C2318yes—
404C4×C22⋊D17C2318yescomplemented
405C4×C22⋊D17C2318yescomplemented
406C2×#63227C2311yescharacteristic
407C2×#63227C2311yescharacteristic
408C2×#63227C2311yescharacteristic
409C2×#63227C2311yescharacteristic
410C2×#63227C2311yescharacteristic
411C2×#63227C2311yescharacteristic
412C2×#63227C2311yescharacteristic
413C2×#63227C2311yescharacteristic
414C2×#63227C2318yes—
415C2×#63227C2311yescharacteristic
416C2×#63227C2311yescharacteristic
417C2×#63227C2311yescharacteristic
418C2×#63227C2311yescharacteristic
419C2×#63227C2311yescharacteristic
420C2×#63227C2311yescharacteristic
421C2×#63227C2311yescharacteristic
422C2×#63227C2311yescharacteristic
423C2×C4⋊Dic17C2311yescharacteristic
424C2×C4⋊Dic17C2311yescharacteristic
425C2×C4⋊Dic17C2311yescharacteristic
426C2×C4⋊Dic17C2311yescharacteristic
427C2×C4⋊Dic17C2311yescharacteristic
428C2×C4⋊Dic17C2311yescharacteristic
429C2×C4⋊Dic17C2311yescharacteristic
430C2×C4⋊Dic17C2311yescharacteristic
431C2×C4⋊Dic17C2311yescharacteristic
432C2×C4⋊Dic17C2311yescharacteristic
433C2×C4⋊Dic17C2318yescomplemented
434#10587610C2318yes—
435#10587610C2318yescomplemented
436#10587610C2318yescomplemented
437#10587610C2318yescomplemented
438#10587610C2318yescomplemented
439#10587610C2318yescomplemented
440C2×#63225C2318yes—
441C2×#63225C2311yescharacteristic
442C2×#63225C2311yescharacteristic
443C2×#63225C2311yescharacteristic
444C2×#63225C2311yescharacteristic
445C2×#63225C2311yescharacteristic
446C2×#63225C2311yescharacteristic
447C2×#63225C2311yescharacteristic
448C2×#63225C2311yescharacteristic
449C2×#63225C2311yescharacteristic
450C2×#63225C2311yescharacteristic
451C2×#63225C2311yescharacteristic
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×#63225C2318yescomplemented
466C2×#63225C2318yescomplemented
467C2×#63225C2318yescomplemented
468C2×C4×Dic17C2311yescharacteristic
469C2×C4×Dic17C2311yescharacteristic
470C2×C4×Dic17C2311yescharacteristic
471C2×C4×Dic17C2311yescharacteristic
472C2×C4×Dic17C2311yescharacteristic
473#10587584C2318yescomplemented
474#10587583C2318yescomplemented
475#10587583C2318yescomplemented
476#10587582C2318yescomplemented
477#10587582C2318yescomplemented
478#10587582C2318yescomplemented
479#10587582C2318yescomplemented
480#10587582C2318yescomplemented
481#10587582C2318yescomplemented
482#10587580C2318yescomplemented
483C4⋊C4×D17C2318yescomplemented
484#10587576C2318yescomplemented
485#10587575C2318yescomplemented
486#10587575C2318yescomplemented
487#10587574C2318yescomplemented
488#10587573C2318yescomplemented
489#10587572C2318yescomplemented
490#10587572C2318yescomplemented
491#10587572C2318yescomplemented
492#10587571C2318yescomplemented
493#10587571C2318yescomplemented
494#10587571C2318yescomplemented
495#10587571C2318yescomplemented
496#10587571C2318yescomplemented
497#10587571C2318yescomplemented
498#10587570C2318yescomplemented
499#10587570C2318yescomplemented
500#10587570C2318yescomplemented
501#10587570C2318yescomplemented
502#10587570C2318yescomplemented
503#10587569C2318yescomplemented
504#10587569C2318yescomplemented
505#10587569C2318yescomplemented
506#10587569C2318yescomplemented
507#10587569C2318yescomplemented
508#10587568C2318yes—
509#10587567C2318yes—
510#10587567C2318yes—
511#10587567C2318yescomplemented
512#10587567C2318yescomplemented
513#10587567C2318yescomplemented
514C22⋊C4×D17C2318yes—
515C22⋊C4×D17C2318yes—
516#10587565C2318yescomplemented
517#10587565C2318yescomplemented
518#10587564C2318yes—
519#10587564C2318yes—
520#10587564C2318yes—
521#10587564C2318yes—
522#10587564C2318yes—
523#10587564C2318yes—
524#10587564C2318yes—
525#10587564C2318yescomplemented
526#10587564C2318yescomplemented
527#10587564C2318yescomplemented
528#10587564C2318yescomplemented
529#10587564C2318yescomplemented
530#10587564C2318yescomplemented
531#10587564C2318yescomplemented
532#10587564C2318yescomplemented
533#10587564C2318yescomplemented
534#10587564C2318yescomplemented
535#10587564C2318yescomplemented
536#10587563C2318yescomplemented
537#10587562C2318yescomplemented
538#10587561C2318yescomplemented
539#10587556C2318yescomplemented
540C4×Dic34C2318yescomplemented
541C24×C17—24no—
542C24×C17—24no—
543C24×C17—24no—
544C24×C17—42no—
545C24×C17—42no—
546C24×C17—42no—
547C24×C17C2411yescharacteristic
548C24×C17C2411yescharacteristic
549C24×C17C2411yescharacteristic
550C24×C17C2411yescharacteristic
551C24×C17C2414yes—
552C24×C17C2411yescharacteristic
553C24×C17C2411yescharacteristic
554C24×C17C2414yes—
555C23×D17—24no—
556C23×D17—42no—
557C23×D17—42no—
558C23×D17C2411yescharacteristic
559C23×D17C2411yescharacteristic
560C23×D17C2411yescharacteristic
561C23×D17C2414yes—
562#41×C17—416no—
563C2×Q8×C17—42no—
564C2×Q8×C17C2414yes—
565C2×D4×C17—24no—
566C2×D4×C17—24no—
567C2×D4×C17—24no—
568C2×D4×C17—24no—
569C2×D4×C17—42no—
570C2×D4×C17—42no—
571C2×D4×C17—42no—
572C2×D4×C17—42no—
573C2×D4×C17—42no—
574C2×D4×C17—416no—
575C2×D4×C17C2414yes—
576C2×D4×C17C2414yes—
577C2×D4×C17C2414yes—
578C2×D4×C17C2414yes—
579C2×D4×C17C2414yes—
580C2×D4×C17C2414yes—
581C2×D4×C17C2414yes—
582C2×D4×C17C2414yes—
583C2×D4×C17C2414yes—
584C22×C4×C17—24no—
585C22×C4×C17—42no—
586C22×C4×C17—42no—
587C22×C4×C17—42no—
588C22×C4×C17—42no—
589C22×C4×C17—42no—
590C22×C4×C17C2414yes—
591C22×C4×C17C2411yescharacteristic
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×C17C2414yes—
601C22×C4×C17C2414yes—
602C22×C4×C17C2414yes—
603C22×C4×C17C2414yes—
604C22×C4×C17C2414yes—
605C2×C22⋊D17—24no—
606C2×C22⋊D17—24no—
607C2×C22⋊D17—24no—
608C2×C22⋊D17—24no—
609C2×C22⋊D17—24no—
610C2×C22⋊D17—24no—
611C2×C22⋊D17—416no—
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—416no—
623C2×C22⋊D17C2414yes—
624C2×C22⋊D17C2414yes—
625C2×C22⋊D17C2414yes—
626C2×C22⋊D17C2414yes—
627C2×C22⋊D17C2414yes—
628C2×C22⋊D17C2414yes—
629C2×C22⋊D17C2414yes—
630C2×C22⋊D17C2414yes—
631C2×C22⋊D17C2414yes—
632C2×C22⋊D17C2414yes—
633C2×C22⋊D17C2414yes—
634C2×C22⋊D17C2414yes—
635C2×C22⋊D17C2414yes—
636C2×C22⋊D17C2414yes—
637C2×C22⋊D17C2414yes—
638C2×C22⋊D17C2414yes—
639C22×Dic17—24no—
640C22×Dic17—24no—
641C22×Dic17—24no—
642C22×Dic17—24no—
643C22×Dic17—24no—
644C22×Dic17—416no—
645C22×Dic17—42no—
646C22×Dic17—42no—
647C22×Dic17—42no—
648C22×Dic17—42no—
649C22×Dic17—42no—
650C22×Dic17—42no—
651C22×Dic17—42no—
652C22×Dic17—42no—
653C22×Dic17C2411yescharacteristic
654C22×Dic17C2411yescharacteristic
655C22×Dic17C2411yescharacteristic
656C22×Dic17C2411yescharacteristic
657C22×Dic17C2411yescharacteristic
658C22×Dic17C2411yescharacteristic
659C22×Dic17C2411yescharacteristic
660C22×Dic17C2411yescharacteristic
661C22×Dic17C2411yescharacteristic
662C22×Dic17C2411yescharacteristic
663C22×Dic17C2414yes—
664C22×Dic17C2414yes—
665C22×Dic17C2414yes—
666C22×Dic17C2414yes—
667C22×Dic17C2414yes—
668C22×Dic17C2411yescharacteristic
669C22×Dic17C2411yescharacteristic
670C22×Dic17C2414yes—
671C22×Dic17C2414yes—
672C22×Dic17C2414yes—
673C22×Dic17C2414yes—
674C22×Dic17C2414yes—
675C22×Dic17C2414yes—
676C22×Dic17C2414yes—
677C22×Dic17C2414yes—
678C22×Dic17C2411yescharacteristic
679#63254—416no—
680#63254—416no—
681#63254—416no—
682#63254—416no—
683#63252—416no—
684#63252—416no—
685C2×D68—42no—
686C2×D68—42no—
687C2×D68C2414yes—
688C2×D68C2414yes—
689C2×C4×D17—24no—
690C2×C4×D17—42no—
691C2×C4×D17—42no—
692C2×C4×D17—42no—
693C2×C4×D17—42no—
694C2×C4×D17—42no—
695C2×C4×D17—42no—
696C2×C4×D17C2414yes—
697C2×C4×D17C2414yes—
698C2×C4×D17C2414yes—
699C2×C4×D17C2414yes—
700C2×C4×D17C2414yes—
701C2×C4×D17C2414yes—
702C2×C4×D17C2414yes—
703C2×Dic34—24no—
704C2×Dic34—24no—
705C2×Dic34—416no—
706C2×Dic34—42no—
707C2×Dic34—42no—
708C2×Dic34—42no—
709C2×Dic34—42no—
710C2×Dic34—42no—
711C2×Dic34—42no—
712C2×Dic34C2414yes—
713C2×Dic34C2414yes—
714C2×Dic34C2414yes—
715C2×Dic34C2414yes—
716C2×Dic34C2414yes—
717C2×Dic34C2414yes—
718C2×Dic34C2414yes—
719C2×Dic34C2414yes—
720C4⋊C4×C17C2414yes—
721C4⋊C4×C17C2414yes—
722C4⋊C4×C17C2414yes—
723C4⋊C4×C17C2414yes—
724C22⋊C4×C17C2414yes—
725C22⋊C4×C17C2414yes—
726C22⋊C4×C17C2414yes—
727C22⋊C4×C17C2414yes—
728C22⋊C4×C17C2414yes—
729C22⋊C4×C17C2414yes—
730C22⋊C4×C17C2414yes—
731C22⋊C4×C17C2414yes—
732C22⋊C4×C17C2414yes—
733C22⋊C4×C17C2414yes—
734C22⋊C4×C17C2414yes—
735C22⋊C4×C17C2414yes—
736C42×C17C2414yes—
737C22⋊Dic17C2414yes—
738C22⋊Dic17C2414yes—
739C22⋊Dic17C2414yes—
740C22⋊Dic17C2414yes—
741C22⋊Dic17C2414yes—
742C22⋊Dic17C2414yes—
743C22⋊Dic17C2414yes—
744C22⋊Dic17C2414yes—
745C22⋊Dic17C2414yes—
746C22⋊Dic17C2414yes—
747C22⋊Dic17C2414yes—
748C22⋊Dic17C2414yes—
749C22⋊Dic17C2414yes—
750C22⋊Dic17C2414yes—
751C22⋊Dic17C2414yes—
752C22⋊Dic17C2414yes—
753C22⋊Dic17C2414yes—
754C22⋊Dic17C2414yes—
755#63227C2414yes—
756#63227C2414yes—
757#63227C2414yes—
758#63227C2414yes—
759#63227C2414yes—
760#63227C2414yes—
761#63227C2414yes—
762#63227C2414yes—
763#63227C2414yes—
764#63227C2414yes—
765#63227C2414yes—
766#63227C2414yes—
767#63227C2414yes—
768#63227C2414yes—
769#63227C2414yes—
770#63227C2414yes—
771C4⋊Dic17C2414yes—
772C4⋊Dic17C2414yes—
773C4⋊Dic17C2414yes—
774C4⋊Dic17C2414yes—
775C4⋊Dic17C2414yes—
776C4⋊Dic17C2414yes—
777C4⋊Dic17C2414yes—
778C4⋊Dic17C2414yes—
779C4⋊Dic17C2414yes—
780C4⋊Dic17C2414yes—
781#63225C2414yes—
782#63225C2414yes—
783#63225C2414yes—
784#63225C2414yes—
785#63225C2414yes—
786#63225C2414yes—
787#63225C2414yes—
788#63225C2414yes—
789#63225C2414yes—
790#63225C2414yes—
791#63225C2414yes—
792#63225C2414yes—
793#63225C2414yes—
794#63225C2414yes—
795#63225C2414yes—
796#63225C2414yes—
797#63225C2414yes—
798#63225C2414yes—
799#63225C2414yes—
800#63225C2414yes—
801#63225C2414yes—
802#63225C2414yes—
803#63225C2414yes—
804#63225C2414yes—
805C4×Dic17C2414yes—
806C4×Dic17C2414yes—
807C4×Dic17C2414yes—
808C4×Dic17C2414yes—
809C4×Dic17C2414yes—
810C2×#3536—171nomaximal, Sylow
811C23×C17—22no—
812C23×C17—22no—
813C23×C17—22no—
814C23×C17—22no—
815C23×C17—22no—
816C23×C17—22no—
817C23×C17—22no—
818C23×C17—22no—
819C23×C17—22no—
820C23×C17—22no—
821C23×C17—28no—
822C23×C17—22no—
823C23×C17—22no—
824C23×C17—22no—
825C23×C17—28no—
826C23×C17—22no—
827C23×C17—22no—
828C23×C17—22no—
829C23×C17—28no—
830C23×C17—44no—
831C23×C17—44no—
832C23×C17—44no—
833C23×C17—416no—
834C23×C17—88no—
835C23×C17H(5,𝔽2)14yes—
836C23×C172−1+414yes—
837C23×C17C2512yes—
838C23×C17C2512yes—
839C23×C17C2512yes—
840C23×C17C2512yes—
841C23×C17C2512yes—
842C23×C17C2512yes—
843C23×C17C2511yescharacteristic
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—28no—
854C22×D17—44no—
855C22×D17—44no—
856C22×D17—88no—
857C22×D17C2512yes—
858C22×D17C2512yes—
859C22×D17C2512yes—
860Q8×C17—44no—
861D4×C17—28no—
862D4×C17—28no—
863D4×C17—28no—
864D4×C17—28no—
865D4×C17—44no—
866D4×C17—44no—
867D4×C17—44no—
868D4×C17—44no—
869D4×C17—44no—
870C2×C4×C17—22no—
871C2×C4×C17—22no—
872C2×C4×C17—22no—
873C2×C4×C17—22no—
874C2×C4×C17—22no—
875C2×C4×C17—22no—
876C2×C4×C17—22no—
877C2×C4×C17—28no—
878C2×C4×C17—22no—
879C2×C4×C17—22no—
880C2×C4×C17—44no—
881C2×C4×C17—44no—
882C2×C4×C17—44no—
883C2×C4×C17—44no—
884C2×C4×C17—44no—
885C2×C4×C17C2512yes—
886C2×C4×C17C2512yes—
887C2×C4×C17C2512yes—
888C2×C4×C17C2512yes—
889C2×C4×C17C2512yes—
890C2×C4×C17C2512yes—
891C2×C4×C17C2512yes—
892C2×C4×C17C2512yes—
893C2×C4×C17C2512yes—
894C22⋊D17—28no—
895C22⋊D17—28no—
896C22⋊D17—28no—
897C22⋊D17—28no—
898C22⋊D17—28no—
899C22⋊D17—28no—
900C22⋊D17—44no—
901C22⋊D17—44no—
902C22⋊D17—44no—
903C22⋊D17—44no—
904C22⋊D17—44no—
905C22⋊D17—44no—
906C22⋊D17—44no—
907C22⋊D17—44no—
908C22⋊D17—44no—
909C22⋊D17—44no—
910C2×Dic17—22no—
911C2×Dic17—22no—
912C2×Dic17—22no—
913C2×Dic17—22no—
914C2×Dic17—22no—
915C2×Dic17—22no—
916C2×Dic17—22no—
917C2×Dic17—22no—
918C2×Dic17—22no—
919C2×Dic17—22no—
920C2×Dic17—28no—
921C2×Dic17—22no—
922C2×Dic17—22no—
923C2×Dic17—28no—
924C2×Dic17—28no—
925C2×Dic17—28no—
926C2×Dic17—28no—
927C2×Dic17—44no—
928C2×Dic17—44no—
929C2×Dic17—44no—
930C2×Dic17—44no—
931C2×Dic17—44no—
932C2×Dic17—44no—
933C2×Dic17—44no—
934C2×Dic17—44no—
935C2×Dic17H(5,𝔽2)14yes—
936C2×Dic17C2512yes—
937C2×Dic17C2512yes—
938C2×Dic17C2512yes—
939C2×Dic17C2512yes—
940C2×Dic17C2512yes—
941C2×Dic17C2512yes—
942C2×Dic17C2512yes—
943C2×Dic17C2512yes—
944C2×Dic17C2512yes—
945C2×Dic17C2512yes—
946C2×Dic17C2512yes—
947C2×Dic17C2512yes—
948C2×Dic17C2512yes—
949D68—44no—
950D68—44no—
951C4×D17—28no—
952C4×D17—44no—
953C4×D17—44no—
954C4×D17—44no—
955C4×D17—44no—
956C4×D17—44no—
957C4×D17—44no—
958Dic34—28no—
959Dic34—28no—
960Dic34—44no—
961Dic34—44no—
962Dic34—44no—
963Dic34—44no—
964Dic34—44no—
965Dic34—44no—
966#3536—1732no—
967C2×#562—171no—
968C2×#562—171no—
969C2×#562—171no—
970C2×#562—171no—
971C2×#554—171no—
972C2×#554—171no—
973C2×#548—171no—
974C2×#548—171no—
975C2×#547—171no—
976C2×#547—171no—
977C2×#546—171no—
978C2×#546—171no—
979C2×#546—171no—
980C2×#546—171no—
981C2×#546—171no—
982C2×#546D1711yescharacteristic, complemented
983C2×#543—171no—
984C2×#543—171no—
985C2×#542—171no—
986C2×#542—171no—
987C2×#539—171no—
988C2×#539—171no—
989C2×#538—171no—
990C2×#538—171no—
991C2×#537—171no—
992C2×#537—171no—
993C2×#537—171no—
994C2×#537—171no—
995C2×#525—171no—
996C22×C22⋊Q8—171no—
997C22×#121—171no—
998C22×C17—22no—
999C22×C17—22no—
1000C22×C17—22no—
1001C22×C17—22no—
1002C22×C17—28no—
1003C22×C17—28no—
1004C22×C17—22no—
1005C22×C17—22no—
1006C22×C17—22no—
1007C22×C17—22no—
1008C22×C17—22no—
1009C22×C17—22no—
1010C22×C17—22no—
1011C22×C17—22no—
1012C22×C17—22no—
1013C22×C17—22no—
1014C22×C17—22no—
1015C22×C17—22no—
1016C22×C17—416no—
1017C22×C17—44no—
1018C22×C17—44no—
1019C22×C17—44no—
1020C22×C17—44no—
1021C22×C17—88no—
1022C22×C17C2×H(5,𝔽2)12yes—
1023C22×C17C2×H(5,𝔽2)14yes—
1024C22×C17C2×H(5,𝔽2)12yes—
1025C22×C17C2×2−1+414yes—
1026C22×C17C2×2−1+412yes—
1027C22×C17C2611yescharacteristic
1028C2×D17—22no—
1029C2×D17—22no—
1030C2×D17—22no—
1031C2×D17—22no—
1032C2×D17—22no—
1033C2×D17—22no—
1034C2×D17—22no—
1035C2×D17—22no—
1036C2×D17—22no—
1037C2×D17—44no—
1038C2×D17—44no—
1039C2×D17—44no—
1040C2×D17—88no—
1041C4×C17—22no—
1042C4×C17—22no—
1043C4×C17—22no—
1044C4×C17—22no—
1045C4×C17—22no—
1046C4×C17—22no—
1047C4×C17—22no—
1048C4×C17—22no—
1049C4×C17—22no—
1050Dic17—22no—
1051Dic17—22no—
1052Dic17—22no—
1053Dic17—22no—
1054Dic17—22no—
1055Dic17—22no—
1056Dic17—22no—
1057Dic17—22no—
1058Dic17—22no—
1059Dic17—22no—
1060Dic17—22no—
1061Dic17—22no—
1062Dic17C2×H(5,𝔽2)14yes—
1063C22×#41—171no—
1064C22×#41—171no—
1065C22×#41—171no—
1066C22×#41—171no—
1067C22×#41—171no—
1068C22×#41—171no—
1069C22×#41C2×D1711yescharacteristic, complemented
1070C23×Q8—171no—
1071C23×D4—171no—
1072C23×D4—171no—
1073C23×D4C2×D1711yescharacteristic
1074C24×C4—171no—
1075#562—1716no—
1076#562—1716no—
1077#562—1716no—
1078#562—1716no—
1079#554—1716no—
1080#554—1716no—
1081#548—1716no—
1082#548—1716no—
1083#547—1716no—
1084#547—1716no—
1085#546—1716no—
1086#546—1716no—
1087#546—1716no—
1088#546—1716no—
1089#546—1716no—
1090#546C2×D17116yescomplemented
1091#543—1716no—
1092#543—1716no—
1093#542—1716no—
1094#542—1716no—
1095#539—1716no—
1096#539—1716no—
1097#538—1716no—
1098#538—1716no—
1099#537—1716no—
1100#537—1716no—
1101#537—1716no—
1102#537—1716no—
1103C2×C4⋊Q8—171no—
1104C2×C4⋊Q8—171no—
1105C2×#126—171no—
1106C2×#126—171no—
1107C2×#126—171no—
1108C2×#126—171no—
1109C2×#125—171no—
1110C2×#125—171no—
1111C2×#125—171no—
1112C2×#125—171no—
1113C2×#124—171no—
1114C2×#124—171no—
1115C2×#124—171no—
1116C2×#124—171no—
1117C2×#124—171no—
1118C2×#124—171no—
1119C2×#124—171no—
1120C2×#124—171no—
1121C2×#124—171no—
1122C2×#124C2×D1711yescharacteristic, complemented
1123#525—1716no—
1124C2×#123—171no—
1125C2×#123—171no—
1126C2×#123—171no—
1127C2×#123—171no—
1128C2×#123—171no—
1129C2×#123—171no—
1130C2×#123—171no—
1131C2×#123—171no—
1132C2×#123—171no—
1133C2×#123—171no—
1134C2×#123—171no—
1135C2×#123—171no—
1136C2×#123—171no—
1137C2×#123—171no—
1138C2×#123—171no—
1139C2×#123—171no—
1140C2×#123C2×D1711yescharacteristic, complemented
1141C2×#123C2×D1711yescharacteristic, complemented
1142C2×C22⋊Q8—171no—
1143C2×C22⋊Q8—171no—
1144C2×C22⋊Q8—171no—
1145C2×C22⋊Q8—171no—
1146C2×C22⋊Q8—171no—
1147C2×C22⋊Q8—171no—
1148C2×C22⋊Q8—171no—
1149C2×C22⋊Q8—171no—
1150C2×C22⋊Q8—171no—
1151C2×C22⋊Q8—171no—
1152C2×C22⋊Q8—171no—
1153C2×C22⋊Q8—171no—
1154C2×C22⋊Q8—171no—
1155C2×C22⋊Q8—171no—
1156C2×C22⋊Q8—171no—
1157C2×C22⋊Q8—171no—
1158C2×C22⋊Q8—171no—
1159C2×C22⋊Q8—171no—
1160C2×C22⋊Q8—171no—
1161C2×C22⋊Q8—171no—
1162C2×C22⋊Q8—171no—
1163C2×C22⋊Q8—171no—
1164C2×C22⋊Q8—171no—
1165C2×C22⋊Q8—171no—
1166C2×C22⋊Q8—171no—
1167C2×C22⋊Q8—1716no—
1168C2×C22⋊Q8—171no—
1169C2×C22⋊Q8—171no—
1170C2×C22⋊Q8—171no—
1171C2×C22⋊Q8—171no—
1172C2×C22⋊Q8—171no—
1173C2×C22⋊Q8—171no—
1174C2×C22⋊Q8—171no—
1175C2×C22⋊Q8—171no—
1176C2×C22⋊Q8—171no—
1177C2×C22⋊Q8—171no—
1178C2×C22⋊Q8C2×D1711yescharacteristic
1179C2×#121—171no—
1180C2×#121—171no—
1181C2×#121—171no—
1182C2×#121—171no—
1183C2×#121—171no—
1184C2×#121—171no—
1185C2×#121—171no—
1186C2×#121—171no—
1187C2×#121—171no—
1188C2×#121—171no—
1189C2×#121—171no—
1190C2×#121—171no—
1191C2×#121—171no—
1192C2×#121—1716no—
1193C2×#121—171no—
1194C2×#121—171no—
1195C2×#121—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×#121C2×D1711yescharacteristic, complemented
1210C2×#121C2×D1711yescharacteristic, complemented
1211C2×#121C2×D1711yescharacteristic, complemented
1212C2×#120—171no—
1213C2×#120—171no—
1214C2×#120—171no—
1215C2×#120—171no—
1216C2×#120C2×D1711yescharacteristic
1217C2×#120C2×D1711yescharacteristic
1218C2×C4×Q8—171no—
1219C2×C4×Q8—171no—
1220C2×C4×D4—171no—
1221C2×C4×D4—171no—
1222C2×C4×D4—171no—
1223C2×C4×D4—171no—
1224C2×C4×D4—171no—
1225C2×C4×D4—171no—
1226C2×C4×D4—171no—
1227C2×C4×D4—171no—
1228C2×C4×D4—171no—
1229C2×C4×D4—171no—
1230C2×C4×D4—171no—
1231C2×C4×D4—171no—
1232C2×C4×D4C2×D1711yescharacteristic
1233C2×C4×D4C2×D1711yescharacteristic, complemented
1234C2×#117—171no—
1235C22×C4⋊C4—171no—
1236C22×C4⋊C4—171no—
1237C22×C4⋊C4—171no—
1238C22×C4⋊C4—171no—
1239C22×C4⋊C4—171no—
1240C22×C4⋊C4—171no—
1241C22×C22⋊C4—171no—
1242C22×C22⋊C4—171no—
1243C22×C22⋊C4—171no—
1244C22×C22⋊C4—171no—
1245C22×C22⋊C4—171no—
1246C22×C22⋊C4—171no—
1247C22×C22⋊C4C2×D1711yescharacteristic
1248C22×C22⋊C4C2×D1711yescharacteristic
1249C2×C17—24no—
1250C2×C17—24no—
1251C2×C17—42no—
1252C2×C17—42no—
1253C2×C17—42no—
1254C2×C17—42no—
1255C2×C17#353614yescomplemented
1256C2×C17C22×H(5,𝔽2)11yescharacteristic
1257C2×C17C22×H(5,𝔽2)11yescharacteristic
1258C2×C17C22×2−1+411yescharacteristic
1259D17—42no—
1260D17—42no—
1261D17—42no—
1262C25—171no—
1263C25C22×D1711yescharacteristic
1264C25C22×D1711yescharacteristic
1265C2×#41—44no—
1266C2×#41—178no—
1267C2×#41—178no—
1268C2×#41—178no—
1269C2×#41—178no—
1270C2×#41—178no—
1271C2×#41—178no—
1272C2×#41—684no—
1273C2×#41—684no—
1274C2×#41—684no—
1275C2×#41—684no—
1276C2×#41—684no—
1277C2×#41—684no—
1278C2×#41C22×D1718yescomplemented
1279C22×Q8—171no—
1280C22×Q8—171no—
1281C22×Q8—171no—
1282C22×Q8—171no—
1283C22×Q8—171no—
1284C22×Q8—171no—
1285C22×Q8—171no—
1286C22×Q8—171no—
1287C22×Q8—178no—
1288C22×Q8—684no—
1289C22×Q8C22×D1711yescharacteristic
1290C22×D4—44no—
1291C22×D4—171no—
1292C22×D4—171no—
1293C22×D4—171no—
1294C22×D4—171no—
1295C22×D4—171no—
1296C22×D4—171no—
1297C22×D4—171no—
1298C22×D4—171no—
1299C22×D4—171no—
1300C22×D4—171no—
1301C22×D4—171no—
1302C22×D4—171no—
1303C22×D4—171no—
1304C22×D4—171no—
1305C22×D4—171no—
1306C22×D4—171no—
1307C22×D4—178no—
1308C22×D4—178no—
1309C22×D4—171no—
1310C22×D4—171no—
1311C22×D4—684no—
1312C22×D4—684no—
1313C22×D4C22×D1711yescharacteristic
1314C22×D4C22×D1711yescharacteristic
1315C22×D4C22×D1711yescharacteristic
1316C22×D4C22×D1711yescharacteristic
1317C22×D4C22×D1711yescharacteristic
1318C22×D4C22×D1711yescharacteristic
1319C22×D4C22×D1711yescharacteristic
1320C22×D4C22×D1711yescharacteristic
1321C22×D4C22×D1711yescharacteristic
1322C22×D4C22×D1718yes—
1323C23×C4—171no—
1324C23×C4—171no—
1325C23×C4—171no—
1326C23×C4—171no—
1327C23×C4—171no—
1328C23×C4—171no—
1329C23×C4—171no—
1330C23×C4—171no—
1331C23×C4—171no—
1332C23×C4—171no—
1333C23×C4—171no—
1334C23×C4—171no—
1335C23×C4—171no—
1336C23×C4—178no—
1337C23×C4—171no—
1338C23×C4—171no—
1339C23×C4—171no—
1340C23×C4—171no—
1341C23×C4—171no—
1342C23×C4—171no—
1343C23×C4—171no—
1344C23×C4—684no—
1345C23×C4C22×D1711yescharacteristic
1346C23×C4C22×D1711yescharacteristic
1347C23×C4C22×D1711yescharacteristic
1348C23×C4C22×D1711yescharacteristic
1349C23×C4C22×D1711yescharacteristic
1350C23×C4C22×D1711yescharacteristic
1351C4⋊Q8—178no—
1352C4⋊Q8—178no—
1353#126—178no—
1354#126—178no—
1355#126—178no—
1356#126—178no—
1357#125—178no—
1358#125—178no—
1359#125—178no—
1360#125—178no—
1361#124—178no—
1362#124—178no—
1363#124—178no—
1364#124—178no—
1365#124—178no—
1366#124—178no—
1367#124—178no—
1368#124—178no—
1369#124—178no—
1370#124C22×D1718yescomplemented
1371#123—178no—
1372#123—178no—
1373#123—178no—
1374#123—178no—
1375#123—178no—
1376#123—178no—
1377#123—178no—
1378#123—178no—
1379#123—178no—
1380#123—178no—
1381#123—178no—
1382#123—178no—
1383#123—178no—
1384#123—178no—
1385#123—178no—
1386#123—178no—
1387#123C22×D1718yescomplemented
1388#123C22×D1718yescomplemented
1389C22⋊Q8—178no—
1390C22⋊Q8—178no—
1391C22⋊Q8—178no—
1392C22⋊Q8—178no—
1393C22⋊Q8—178no—
1394C22⋊Q8—178no—
1395C22⋊Q8—178no—
1396C22⋊Q8—178no—
1397C22⋊Q8—178no—
1398C22⋊Q8—178no—
1399C22⋊Q8—178no—
1400C22⋊Q8—178no—
1401C22⋊Q8—178no—
1402C22⋊Q8—178no—
1403C22⋊Q8—178no—
1404C22⋊Q8—178no—
1405C22⋊Q8—178no—
1406C22⋊Q8—178no—
1407C22⋊Q8—178no—
1408C22⋊Q8—178no—
1409C22⋊Q8—178no—
1410C22⋊Q8—178no—
1411C22⋊Q8—178no—
1412C22⋊Q8—178no—
1413C22⋊Q8—178no—
1414C22⋊Q8—178no—
1415C22⋊Q8—178no—
1416C22⋊Q8—178no—
1417C22⋊Q8—178no—
1418C22⋊Q8—178no—
1419C22⋊Q8—178no—
1420C22⋊Q8—178no—
1421C22⋊Q8—178no—
1422C22⋊Q8—178no—
1423C22⋊Q8—178no—
1424C22⋊Q8C22×D1718yes—
1425#121—178no—
1426#121—178no—
1427#121—178no—
1428#121—178no—
1429#121—178no—
1430#121—178no—
1431#121—178no—
1432#121—178no—
1433#121—178no—
1434#121—178no—
1435#121—178no—
1436#121—178no—
1437#121—178no—
1438#121—178no—
1439#121—178no—
1440#121—178no—
1441#121—178no—
1442#121—178no—
1443#121—178no—
1444#121—178no—
1445#121—178no—
1446#121—178no—
1447#121—178no—
1448#121—178no—
1449#121—178no—
1450#121—178no—
1451#121—178no—
1452#121—178no—
1453#121—178no—
1454#121C22×D1718yescomplemented
1455#121C22×D1718yescomplemented
1456#121C22×D1718yescomplemented
1457#120—178no—
1458#120—178no—
1459#120—178no—
1460#120—178no—
1461#120C22×D1718yes—
1462#120C22×D1718yes—
1463C4×Q8—178no—
1464C4×Q8—178no—
1465C4×D4—178no—
1466C4×D4—178no—
1467C4×D4—178no—
1468C4×D4—178no—
1469C4×D4—178no—
1470C4×D4—178no—
1471C4×D4—178no—
1472C4×D4—178no—
1473C4×D4—178no—
1474C4×D4—178no—
1475C4×D4—178no—
1476C4×D4—178no—
1477C4×D4C22×D1718yes—
1478C4×D4C22×D1718yescomplemented
1479#117—178no—
1480C2×C4⋊C4—171no—
1481C2×C4⋊C4—171no—
1482C2×C4⋊C4—171no—
1483C2×C4⋊C4—171no—
1484C2×C4⋊C4—171no—
1485C2×C4⋊C4—171no—
1486C2×C4⋊C4—178no—
1487C2×C4⋊C4—171no—
1488C2×C4⋊C4—171no—
1489C2×C4⋊C4—171no—
1490C2×C4⋊C4—171no—
1491C2×C4⋊C4—171no—
1492C2×C4⋊C4—171no—
1493C2×C4⋊C4—171no—
1494C2×C4⋊C4—171no—
1495C2×C4⋊C4—171no—
1496C2×C4⋊C4—171no—
1497C2×C4⋊C4—171no—
1498C2×C4⋊C4—171no—
1499C2×C4⋊C4—171no—
1500C2×C4⋊C4—178no—
1501C2×C4⋊C4—178no—
1502C2×C4⋊C4—178no—
1503C2×C4⋊C4—178no—
1504C2×C4⋊C4—171no—
1505C2×C4⋊C4—171no—
1506C2×C4⋊C4—171no—
1507C2×C4⋊C4—171no—
1508C2×C4⋊C4—171no—
1509C2×C4⋊C4—171no—
1510C2×C4⋊C4—171no—
1511C2×C4⋊C4—171no—
1512C2×C4⋊C4—171no—
1513C2×C4⋊C4—171no—
1514C2×C4⋊C4—171no—
1515C2×C4⋊C4—171no—
1516C2×C4⋊C4—171no—
1517C2×C4⋊C4—171no—
1518C2×C4⋊C4—171no—
1519C2×C4⋊C4—178no—
1520C2×C4⋊C4C22×D1711yescharacteristic
1521C2×C4⋊C4C22×D1711yescharacteristic
1522C2×C4⋊C4C22×D1711yescharacteristic
1523C2×C4⋊C4C22×D1711yescharacteristic
1524C2×C22⋊C4—171no—
1525C2×C22⋊C4—171no—
1526C2×C22⋊C4—171no—
1527C2×C22⋊C4—171no—
1528C2×C22⋊C4—171no—
1529C2×C22⋊C4—171no—
1530C2×C22⋊C4—171no—
1531C2×C22⋊C4—171no—
1532C2×C22⋊C4—171no—
1533C2×C22⋊C4—171no—
1534C2×C22⋊C4—171no—
1535C2×C22⋊C4—178no—
1536C2×C22⋊C4—178no—
1537C2×C22⋊C4—178no—
1538C2×C22⋊C4—171no—
1539C2×C22⋊C4—171no—
1540C2×C22⋊C4—171no—
1541C2×C22⋊C4—171no—
1542C2×C22⋊C4—171no—
1543C2×C22⋊C4—171no—
1544C2×C22⋊C4—171no—
1545C2×C22⋊C4—171no—
1546C2×C22⋊C4—171no—
1547C2×C22⋊C4—171no—
1548C2×C22⋊C4—171no—
1549C2×C22⋊C4—171no—
1550C2×C22⋊C4—171no—
1551C2×C22⋊C4—171no—
1552C2×C22⋊C4—171no—
1553C2×C22⋊C4—178no—
1554C2×C22⋊C4—171no—
1555C2×C22⋊C4—171no—
1556C2×C22⋊C4—171no—
1557C2×C22⋊C4—171no—
1558C2×C22⋊C4—171no—
1559C2×C22⋊C4—171no—
1560C2×C22⋊C4—171no—
1561C2×C22⋊C4—171no—
1562C2×C22⋊C4—178no—
1563C2×C22⋊C4—178no—
1564C2×C22⋊C4C22×D1711yescharacteristic
1565C2×C22⋊C4C22×D1711yescharacteristic
1566C2×C22⋊C4C22×D1711yescharacteristic
1567C2×C22⋊C4C22×D1711yescharacteristic
1568C2×C22⋊C4C22×D1711yescharacteristic
1569C2×C22⋊C4C22×D1711yescharacteristic
1570C2×C22⋊C4C22×D1711yescharacteristic
1571C2×C22⋊C4C22×D1718yes—
1572C2×C22⋊C4C22×D1718yes—
1573C2×C22⋊C4C22×D1711yescharacteristic
1574C2×C22⋊C4C22×D1711yescharacteristic
1575C2×C22⋊C4C22×D1711yescharacteristic
1576C2×C22⋊C4C22×D1711yescharacteristic
1577C2×C22⋊C4C22×D1711yescharacteristic
1578C2×C42—171no—
1579C2×C42—171no—
1580C2×C42—171no—
1581C2×C42—171no—
1582C2×C42—171no—
1583C2×C42C22×D1711yescharacteristic
1584C17C2×#353611yescharacteristic, complemented, Sylow
1585C24—24no—
1586C24—24no—
1587C24—24no—
1588C24—42no—
1589C24—42no—
1590C24—42no—
1591C24—171no—
1592C24—171no—
1593C24—171no—
1594C24—174no—
1595C24—344no—
1596C24—682no—
1597C24—682no—
1598C24C23×D1711yescharacteristic
1599C24C23×D1711yescharacteristic
1600C24C23×D1711yescharacteristic
1601C24C23×D1711yescharacteristic
1602C24C23×D1714yes—
1603C24C23×D1711yescharacteristic
1604C24C23×D1711yescharacteristic
1605C24C23×D1714yes—
1606#41—416no—
1607#41—6816no—
1608#41—6816no—
1609#41—6816no—
1610#41—6816no—
1611#41—6816no—
1612#41—6816no—
1613C2×Q8—42no—
1614C2×Q8—174no—
1615C2×Q8—174no—
1616C2×Q8—174no—
1617C2×Q8—174no—
1618C2×Q8—174no—
1619C2×Q8—174no—
1620C2×Q8—174no—
1621C2×Q8—174no—
1622C2×Q8—344no—
1623C2×Q8—344no—
1624C2×Q8—682no—
1625C2×Q8—682no—
1626C2×Q8—682no—
1627C2×Q8—682no—
1628C2×Q8—682no—
1629C2×Q8—682no—
1630C2×Q8—6816no—
1631C2×Q8C23×D1714yes—
1632C2×D4—24no—
1633C2×D4—24no—
1634C2×D4—24no—
1635C2×D4—24no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—42no—
1641C2×D4—416no—
1642C2×D4—174no—
1643C2×D4—174no—
1644C2×D4—174no—
1645C2×D4—174no—
1646C2×D4—174no—
1647C2×D4—174no—
1648C2×D4—174no—
1649C2×D4—174no—
1650C2×D4—174no—
1651C2×D4—174no—
1652C2×D4—174no—
1653C2×D4—174no—
1654C2×D4—174no—
1655C2×D4—174no—
1656C2×D4—174no—
1657C2×D4—174no—
1658C2×D4—174no—
1659C2×D4—174no—
1660C2×D4—344no—
1661C2×D4—344no—
1662C2×D4—344no—
1663C2×D4—344no—
1664C2×D4—344no—
1665C2×D4—344no—
1666C2×D4—682no—
1667C2×D4—682no—
1668C2×D4—6816no—
1669C2×D4—682no—
1670C2×D4—682no—
1671C2×D4—682no—
1672C2×D4—682no—
1673C2×D4—682no—
1674C2×D4—682no—
1675C2×D4—682no—
1676C2×D4—682no—
1677C2×D4—682no—
1678C2×D4—682no—
1679C2×D4—6816no—
1680C2×D4C23×D1714yes—
1681C2×D4C23×D1714yes—
1682C2×D4C23×D1714yes—
1683C2×D4C23×D1714yes—
1684C2×D4C23×D1714yes—
1685C2×D4C23×D1714yes—
1686C2×D4C23×D1714yes—
1687C2×D4C23×D1714yes—
1688C2×D4C23×D1714yes—
1689C22×C4—24no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—171no—
1696C22×C4—174no—
1697C22×C4—174no—
1698C22×C4—174no—
1699C22×C4—174no—
1700C22×C4—174no—
1701C22×C4—171no—
1702C22×C4—171no—
1703C22×C4—171no—
1704C22×C4—171no—
1705C22×C4—171no—
1706C22×C4—171no—
1707C22×C4—171no—
1708C22×C4—171no—
1709C22×C4—171no—
1710C22×C4—171no—
1711C22×C4—171no—
1712C22×C4—171no—
1713C22×C4—174no—
1714C22×C4—174no—
1715C22×C4—174no—
1716C22×C4—174no—
1717C22×C4—174no—
1718C22×C4—174no—
1719C22×C4—174no—
1720C22×C4—174no—
1721C22×C4—174no—
1722C22×C4—174no—
1723C22×C4—174no—
1724C22×C4—174no—
1725C22×C4—174no—
1726C22×C4—174no—
1727C22×C4—174no—
1728C22×C4—344no—
1729C22×C4—344no—
1730C22×C4—344no—
1731C22×C4—344no—
1732C22×C4—344no—
1733C22×C4—344no—
1734C22×C4—682no—
1735C22×C4—682no—
1736C22×C4—682no—
1737C22×C4—682no—
1738C22×C4—682no—
1739C22×C4—682no—
1740C22×C4—6816no—
1741C22×C4—682no—
1742C22×C4—682no—
1743C22×C4—682no—
1744C22×C4—682no—
1745C22×C4—682no—
1746C22×C4—682no—
1747C22×C4—682no—
1748C22×C4—682no—
1749C22×C4C23×D1714yes—
1750C22×C4C23×D1711yescharacteristic
1751C22×C4C23×D1711yescharacteristic
1752C22×C4C23×D1711yescharacteristic
1753C22×C4C23×D1711yescharacteristic
1754C22×C4C23×D1711yescharacteristic
1755C22×C4C23×D1711yescharacteristic
1756C22×C4C23×D1711yescharacteristic
1757C22×C4C23×D1711yescharacteristic
1758C22×C4C23×D1711yescharacteristic
1759C22×C4C23×D1714yes—
1760C22×C4C23×D1714yes—
1761C22×C4C23×D1714yes—
1762C22×C4C23×D1714yes—
1763C22×C4C23×D1714yes—
1764C4⋊C4—174no—
1765C4⋊C4—174no—
1766C4⋊C4—174no—
1767C4⋊C4—174no—
1768C4⋊C4—174no—
1769C4⋊C4—174no—
1770C4⋊C4—174no—
1771C4⋊C4—174no—
1772C4⋊C4—174no—
1773C4⋊C4—174no—
1774C4⋊C4—174no—
1775C4⋊C4—174no—
1776C4⋊C4—174no—
1777C4⋊C4—174no—
1778C4⋊C4—174no—
1779C4⋊C4—174no—
1780C4⋊C4—174no—
1781C4⋊C4—174no—
1782C4⋊C4—174no—
1783C4⋊C4—174no—
1784C4⋊C4—174no—
1785C4⋊C4—174no—
1786C4⋊C4—174no—
1787C4⋊C4—174no—
1788C4⋊C4—174no—
1789C4⋊C4—174no—
1790C4⋊C4—174no—
1791C4⋊C4—174no—
1792C4⋊C4—174no—
1793C4⋊C4—174no—
1794C4⋊C4—174no—
1795C4⋊C4—174no—
1796C4⋊C4—174no—
1797C4⋊C4—174no—
1798C4⋊C4C23×D1714yes—
1799C4⋊C4C23×D1714yes—
1800C4⋊C4C23×D1714yes—
1801C4⋊C4C23×D1714yes—
1802C22⋊C4—174no—
1803C22⋊C4—174no—
1804C22⋊C4—174no—
1805C22⋊C4—174no—
1806C22⋊C4—174no—
1807C22⋊C4—174no—
1808C22⋊C4—174no—
1809C22⋊C4—174no—
1810C22⋊C4—174no—
1811C22⋊C4—174no—
1812C22⋊C4—174no—
1813C22⋊C4—174no—
1814C22⋊C4—174no—
1815C22⋊C4—174no—
1816C22⋊C4—174no—
1817C22⋊C4—174no—
1818C22⋊C4—174no—
1819C22⋊C4—174no—
1820C22⋊C4—174no—
1821C22⋊C4—174no—
1822C22⋊C4—174no—
1823C22⋊C4—174no—
1824C22⋊C4—174no—
1825C22⋊C4—174no—
1826C22⋊C4—174no—
1827C22⋊C4—174no—
1828C22⋊C4—174no—
1829C22⋊C4—174no—
1830C22⋊C4—174no—
1831C22⋊C4—174no—
1832C22⋊C4—174no—
1833C22⋊C4—174no—
1834C22⋊C4—174no—
1835C22⋊C4—174no—
1836C22⋊C4C23×D1714yes—
1837C22⋊C4C23×D1714yes—
1838C22⋊C4C23×D1714yes—
1839C22⋊C4C23×D1714yes—
1840C22⋊C4C23×D1714yes—
1841C22⋊C4C23×D1714yes—
1842C22⋊C4C23×D1714yes—
1843C22⋊C4C23×D1714yes—
1844C22⋊C4C23×D1714yes—
1845C22⋊C4C23×D1714yes—
1846C22⋊C4C23×D1714yes—
1847C22⋊C4C23×D1714yes—
1848C42—174no—
1849C42—174no—
1850C42—174no—
1851C42—174no—
1852C42—174no—
1853C42C23×D1714yes—
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—22no—
1862C23—22no—
1863C23—22no—
1864C23—22no—
1865C23—28no—
1866C23—22no—
1867C23—22no—
1868C23—28no—
1869C23—22no—
1870C23—22no—
1871C23—22no—
1872C23—28no—
1873C23—44no—
1874C23—44no—
1875C23—44no—
1876C23—416no—
1877C23—88no—
1878C23—172no—
1879C23—172no—
1880C23—172no—
1881C23—342no—
1882C23—342no—
1883C23—342no—
1884C23—342no—
1885C23—342no—
1886C23—342no—
1887C23—342no—
1888C23—342no—
1889C23—342no—
1890C23—348no—
1891C23—684no—
1892C23—684no—
1893C23—1368no—
1894C23#1058769114yes—
1895C23#1058769714yes—
1896C23C24×D1712yes—
1897C23C24×D1712yes—
1898C23C24×D1712yes—
1899C23C24×D1712yes—
1900C23C24×D1712yes—
1901C23C24×D1712yes—
1902C23C24×D1711yescharacteristic
1903Q8—44no—
1904Q8—348no—
1905Q8—348no—
1906Q8—684no—
1907Q8—684no—
1908Q8—684no—
1909Q8—684no—
1910Q8—684no—
1911Q8—684no—
1912D4—28no—
1913D4—28no—
1914D4—28no—
1915D4—28no—
1916D4—44no—
1917D4—44no—
1918D4—44no—
1919D4—44no—
1920D4—44no—
1921D4—348no—
1922D4—348no—
1923D4—348no—
1924D4—348no—
1925D4—348no—
1926D4—348no—
1927D4—684no—
1928D4—684no—
1929D4—684no—
1930D4—684no—
1931D4—684no—
1932D4—684no—
1933D4—684no—
1934D4—684no—
1935D4—684no—
1936D4—684no—
1937D4—684no—
1938D4—684no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—28no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—44no—
1950C2×C4—44no—
1951C2×C4—44no—
1952C2×C4—44no—
1953C2×C4—44no—
1954C2×C4—174no—
1955C2×C4—172no—
1956C2×C4—172no—
1957C2×C4—172no—
1958C2×C4—172no—
1959C2×C4—172no—
1960C2×C4—172no—
1961C2×C4—172no—
1962C2×C4—172no—
1963C2×C4—172no—
1964C2×C4—172no—
1965C2×C4—172no—
1966C2×C4—172no—
1967C2×C4—172no—
1968C2×C4—348no—
1969C2×C4—348no—
1970C2×C4—348no—
1971C2×C4—348no—
1972C2×C4—348no—
1973C2×C4—342no—
1974C2×C4—342no—
1975C2×C4—342no—
1976C2×C4—342no—
1977C2×C4—342no—
1978C2×C4—342no—
1979C2×C4—342no—
1980C2×C4—342no—
1981C2×C4—348no—
1982C2×C4—342no—
1983C2×C4—342no—
1984C2×C4—342no—
1985C2×C4—342no—
1986C2×C4—684no—
1987C2×C4—684no—
1988C2×C4—684no—
1989C2×C4—684no—
1990C2×C4—684no—
1991C2×C4—684no—
1992C2×C4—684no—
1993C2×C4—684no—
1994C2×C4—684no—
1995C2×C4—684no—
1996C2×C4—684no—
1997C2×C4—684no—
1998C2×C4—684no—
1999C2×C4—684no—
2000C2×C4C24×D1712yes—
2001C2×C4C24×D1712yes—
2002C2×C4C24×D1712yes—
2003C2×C4C24×D1712yes—
2004C2×C4C24×D1712yes—
2005C2×C4C24×D1712yes—
2006C2×C4C24×D1712yes—
2007C2×C4C24×D1712yes—
2008C2×C4C24×D1712yes—
2009C22—28no—
2010C22—28no—
2011C22—22no—
2012C22—22no—
2013C22—22no—
2014C22—22no—
2015C22—22no—
2016C22—22no—
2017C22—22no—
2018C22—22no—
2019C22—22no—
2020C22—22no—
2021C22—22no—
2022C22—22no—
2023C22—22no—
2024C22—22no—
2025C22—22no—
2026C22—22no—
2027C22—416no—
2028C22—44no—
2029C22—44no—
2030C22—44no—
2031C22—44no—
2032C22—88no—
2033C22—342no—
2034C22—342no—
2035C22—342no—
2036C22—342no—
2037C22—342no—
2038C22—342no—
2039C22—342no—
2040C22—342no—
2041C22—342no—
2042C22—684no—
2043C22—684no—
2044C22—684no—
2045C22—1368no—
2046C22H(5,𝔽2)×D1712yes—
2047C22C2×#1058769114yes—
2048C22C2×#1058769112yes—
2049C22C2×#1058769714yes—
2050C22C2×#1058769712yes—
2051C22C25×D1711yescharacteristic
2052C4—22no—
2053C4—22no—
2054C4—22no—
2055C4—22no—
2056C4—22no—
2057C4—22no—
2058C4—22no—
2059C4—22no—
2060C4—22no—
2061C4—174no—
2062C4—342no—
2063C4—342no—
2064C4—342no—
2065C4—342no—
2066C4—342no—
2067C4—342no—
2068C4—342no—
2069C4—342no—
2070C4—342no—
2071C4—342no—
2072C4—342no—
2073C4—342no—
2074C2—24no—
2075C2—24no—
2076C2—42no—
2077C2—42no—
2078C2—42no—
2079C2—42no—
2080C2—682no—
2081C2—682no—
2082C2—682no—
2083C2#1454299914yesdirect product factor
2084C2C2×H(5,𝔽2)×D1711yescharacteristic
2085C2C22×#1058769111yescharacteristic
2086C2C22×#1058769711yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#546C2
socleC23×C17C25
hypercenterC2×#546D17
hypocenterC17C2×#3536
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #14542999C2direct (N × H)
2. C2×#11763556C2semidirect
3. C2×#11763554C2semidirect
4. C2×#11763554C2semidirect
5. C2×#11763553C2semidirect
6. C2×#11763518C2semidirect
7. C2×#11763513C2semidirect
8. C2×#11763468C2semidirect
9. C2×#11763465C2semidirect
10. C2×#11763458C2semidirect
11. C2×#11763457C2semidirect
12. C2×#11763453C2semidirect
13. C2×#11763449C2semidirect
14. C2×#11763449C2semidirect
15. C2×#11763446C2semidirect
16. C2×#11763446C2semidirect
17. C2×#11763435C2semidirect
18. C2×#11763434C2semidirect
19. C2×#11763427C2semidirect
20. C2×#11763423C2semidirect
21. C2×#11763403C2semidirect
22. C2×#11763401C2semidirect
23. C2×#11763394C2semidirect
24. C2×#11763392C2semidirect
25. C2×#11763388C2semidirect
26. C2×#11763387C2semidirect
27. C2×#11763386C2semidirect
28. C2×#11763386C2semidirect
29. C2×#11763315C2semidirect
30. C22×#10587564C2semidirect
31. C22×#10587625C2semidirect
32. C2×C17×#546C2semidirect
33. C22×#63252C22semidirect
34. C22×#63252C22semidirect
35. C22×#63254C22semidirect
36. C22×#63254C22semidirect
37. C22×#63254C22semidirect
38. C22×#63254C22semidirect
39. C23×Dic34C22semidirect
43. #11763556C22semidirect
44. #11763554C22semidirect
45. #11763554C22semidirect
46. #11763553C22semidirect
47. #11763518C22semidirect
48. #11763513C22semidirect
49. #11763468C22semidirect
50. #11763465C22semidirect
51. #11763458C22semidirect
52. #11763457C22semidirect
53. #11763453C22semidirect
54. #11763449C22semidirect
55. #11763449C22semidirect
56. #11763446C22semidirect
57. #11763446C22semidirect
58. #11763435C22semidirect
59. #11763434C22semidirect
60. #11763427C22semidirect
61. #11763423C22semidirect
62. #11763403C22semidirect
63. #11763401C22semidirect
64. #11763394C22semidirect
65. #11763392C22semidirect
66. #11763388C22semidirect
67. #11763387C22semidirect
68. #11763386C22semidirect
69. #11763386C22semidirect
70. C2×#10587574C22semidirect
71. C2×#10587630C22semidirect
72. C2×#10587584C22semidirect
73. C2×#10587562C22semidirect
74. C2×#10587565C22semidirect
75. C2×#10587565C22semidirect
76. C2×#10587556C22semidirect
77. C2×#10587576C22semidirect
78. C2×#10587575C22semidirect
79. C2×#10587575C22semidirect
80. C2×#10587561C22semidirect
81. C2×#10587622C22semidirect
82. C2×#10587622C22semidirect
83. C2×#10587571C22semidirect
84. C2×#10587571C22semidirect
85. C2×#10587571C22semidirect
86. C2×#10587571C22semidirect
87. C2×#10587571C22semidirect
88. C2×#10587571C22semidirect
89. #11763315C22semidirect
90. C2×#10587580C22semidirect
91. C2×#10587572C22semidirect
92. C2×#10587572C22semidirect
93. C2×#10587572C22semidirect
94. C2×#10587615C22semidirect
95. C2×#10587615C22semidirect
96. C2×#10587615C22semidirect
97. C2×#10587569C22semidirect
98. C2×#10587569C22semidirect
99. C2×#10587569C22semidirect
100. C2×#10587569C22semidirect
101. C2×#10587569C22semidirect
102. C2×#10587621C22semidirect
103. C2×#10587621C22semidirect
104. C2×#10587621C22semidirect
105. C2×#10587621C22semidirect
106. C2×#10587583C22semidirect
107. C2×#10587583C22semidirect
109. C2×#10587610C22semidirect
110. C2×#10587610C22semidirect
111. C2×#10587610C22semidirect
112. C2×#10587610C22semidirect
113. C2×#10587610C22semidirect
114. C2×#10587582C22semidirect
115. C2×#10587582C22semidirect
116. C2×#10587582C22semidirect
117. C2×#10587582C22semidirect
118. C2×#10587582C22semidirect
119. C2×#10587582C22semidirect
127. C2×#10587564C22semidirect
128. C2×#10587564C22semidirect
129. C2×#10587564C22semidirect
130. C2×#10587564C22semidirect
131. C2×#10587564C22semidirect
132. C2×#10587564C22semidirect
133. C2×#10587564C22semidirect
134. C2×#10587564C22semidirect
135. C2×#10587564C22semidirect
136. C2×#10587564C22semidirect
137. C2×#10587564C22semidirect
138. C2×#10587564C22semidirect
139. C2×#10587632C22semidirect
140. C2×#10587632C22semidirect
141. C2×#10587632C22semidirect
142. C2×#10587616C22semidirect
143. C2×#10587616C22semidirect
144. C2×#10587616C22semidirect
145. C2×#10587570C22semidirect
146. C2×#10587570C22semidirect
147. C2×#10587570C22semidirect
148. C2×#10587570C22semidirect
149. C2×#10587570C22semidirect
159. C2×#10587625C22semidirect
160. C2×#10587625C22semidirect
161. C2×#10587625C22semidirect
162. C2×#10587625C22semidirect
163. C2×#10587625C22semidirect
164. C2×#10587625C22semidirect
165. C2×#10587625C22semidirect
166. C2×#10587625C22semidirect
167. C2×#10587625C22semidirect
168. C2×#10587624C22semidirect
169. C2×#10587624C22semidirect
170. C2×#10587624C22semidirect
171. C2×#10587624C22semidirect
176. C2×C4×Dic34C22semidirect
177. C2×#10587573C22semidirect
180. C2×D4×Dic17C22semidirect
181. C2×D4×Dic17C22semidirect
183. C2×C4×C22⋊D17C22semidirect
184. C2×C4×C22⋊D17C22semidirect
187. C2×#10587567C22semidirect
188. C2×#10587567C22semidirect
189. C2×#10587567C22semidirect
190. C2×#10587563C22semidirect
191. C22×C4⋊Dic17C22semidirect
193. C22×#63225C22semidirect
194. C22×#63225C22semidirect
195. C22×#63225C22semidirect
196. C2×C4⋊C4×D17C22semidirect
203. C22×#41×C17C22semidirect
205. C17×#546C22semidirect
206. C2×C17×#124C22semidirect
207. C2×C17×#123C22semidirect
208. C2×C17×#123C22semidirect
210. C2×C17×#121C22semidirect
211. C2×C17×#121C22semidirect
212. C2×C17×#121C22semidirect
216. C2×C4×D4×C17C22semidirect
223. C2×#41×C17C23semidirect
281. C2×#63254C23semidirect
282. C2×#63254C23semidirect
283. C2×#63254C23semidirect
284. C2×#63254C23semidirect
287. C2×#63252C23semidirect
288. C2×#63252C23semidirect
307. C22×Dic34C23semidirect
308. C17×#124C23semidirect
309. C17×#123C23semidirect
310. C17×#123C23semidirect
312. C17×#121C23semidirect
313. C17×#121C23semidirect
314. C17×#121C23semidirect
318. C4×D4×C17C23semidirect
361. #10587632C23semidirect
362. #10587632C23semidirect
363. #10587632C23semidirect
364. #10587630C23semidirect
374. #10587625C23semidirect
375. #10587625C23semidirect
376. #10587625C23semidirect
377. #10587625C23semidirect
378. #10587625C23semidirect
379. #10587625C23semidirect
380. #10587625C23semidirect
381. #10587625C23semidirect
382. #10587624C23semidirect
383. #10587624C23semidirect
384. #10587624C23semidirect
385. #10587624C23semidirect
387. #10587622C23semidirect
388. #10587622C23semidirect
389. #10587621C23semidirect
390. #10587621C23semidirect
391. #10587621C23semidirect
392. #10587621C23semidirect
395. D4×Dic17C23semidirect
396. D4×Dic17C23semidirect
397. #10587616C23semidirect
398. #10587616C23semidirect
399. #10587616C23semidirect
400. #10587615C23semidirect
401. #10587615C23semidirect
402. #10587615C23semidirect
404. C4×C22⋊D17C23semidirect
405. C4×C22⋊D17C23semidirect
433. C2×C4⋊Dic17C23semidirect
435. #10587610C23semidirect
436. #10587610C23semidirect
437. #10587610C23semidirect
438. #10587610C23semidirect
439. #10587610C23semidirect
465. C2×#63225C23semidirect
466. C2×#63225C23semidirect
467. C2×#63225C23semidirect
473. #10587584C23semidirect
474. #10587583C23semidirect
475. #10587583C23semidirect
476. #10587582C23semidirect
477. #10587582C23semidirect
478. #10587582C23semidirect
479. #10587582C23semidirect
480. #10587582C23semidirect
481. #10587582C23semidirect
482. #10587580C23semidirect
483. C4⋊C4×D17C23semidirect
484. #10587576C23semidirect
485. #10587575C23semidirect
486. #10587575C23semidirect
487. #10587574C23semidirect
488. #10587573C23semidirect
489. #10587572C23semidirect
490. #10587572C23semidirect
491. #10587572C23semidirect
492. #10587571C23semidirect
493. #10587571C23semidirect
494. #10587571C23semidirect
495. #10587571C23semidirect
496. #10587571C23semidirect
497. #10587571C23semidirect
498. #10587570C23semidirect
499. #10587570C23semidirect
500. #10587570C23semidirect
501. #10587570C23semidirect
502. #10587570C23semidirect
503. #10587569C23semidirect
504. #10587569C23semidirect
505. #10587569C23semidirect
506. #10587569C23semidirect
507. #10587569C23semidirect
511. #10587567C23semidirect
512. #10587567C23semidirect
513. #10587567C23semidirect
516. #10587565C23semidirect
517. #10587565C23semidirect
525. #10587564C23semidirect
526. #10587564C23semidirect
527. #10587564C23semidirect
528. #10587564C23semidirect
529. #10587564C23semidirect
530. #10587564C23semidirect
531. #10587564C23semidirect
532. #10587564C23semidirect
533. #10587564C23semidirect
534. #10587564C23semidirect
535. #10587564C23semidirect
536. #10587563C23semidirect
537. #10587562C23semidirect
538. #10587561C23semidirect
539. #10587556C23semidirect
540. C4×Dic34C23semidirect
982. C2×#546D17semidirect
1069. C22×#41C2×D17semidirect
1090. #546C2×D17semidirect
1122. C2×#124C2×D17semidirect
1140. C2×#123C2×D17semidirect
1141. C2×#123C2×D17semidirect
1209. C2×#121C2×D17semidirect
1210. C2×#121C2×D17semidirect
1211. C2×#121C2×D17semidirect
1233. C2×C4×D4C2×D17semidirect
1255. C2×C17#3536semidirect
1278. C2×#41C22×D17semidirect
1370. #124C22×D17semidirect
1387. #123C22×D17semidirect
1388. #123C22×D17semidirect
1454. #121C22×D17semidirect
1455. #121C22×D17semidirect
1456. #121C22×D17semidirect
1478. C4×D4C22×D17semidirect
1584. C17C2×#3536semidirect
2083. C2#14542999direct (N × H)

Maximal subgroups

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

subgroupindex
#145429992
C2×#117635562
C2×#117635542
C2×#117635532
C2×#117635182
C2×#117635132
C2×#117634682
C2×#117634652
C2×#117634582
C2×#117634572
C2×#117634532
C2×#117634492
C2×#117634462
C2×#117634352
C2×#117634342
C2×#117634272
C2×#117634232
C2×#117634032
C2×#117634012
C2×#117633942
C2×#117633922
C2×#117633882
C2×#117633872
C2×#117633862
C2×#117633152
C22×#105875642
C22×#105876252
C2×C17×#5462
C2×#353617