Finite Group Databasebeta

← C2×#22602066 #32905793

Subgroups — C2×#22602066 #32905793

Order 18176.

8006 conjugacy classes of subgroups.

The subgroup lattice has 2060 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602066C2132yesmaximal, direct product factor
2C2×#17986712C211yesmaximal, characteristic, complemented
3C2×#17986711C211yesmaximal, characteristic, complemented
4C2×#17986700C211yesmaximal, characteristic, complemented
5C2×#17986700C211yesmaximal, characteristic, complemented
6C2×#17986698C211yesmaximal, characteristic, complemented
7C2×#17986694C211yesmaximal, characteristic, complemented
8C2×#17986675C211yesmaximal, characteristic, complemented
9C2×#17986673C211yesmaximal, characteristic, complemented
10C2×#17986672C211yesmaximal, characteristic, complemented
11C2×#17986651C211yesmaximal, characteristic, complemented
12C2×#17986647C211yesmaximal, characteristic, complemented
13C2×#17986645C211yesmaximal, characteristic, complemented
14C2×#17986640C211yesmaximal, characteristic, complemented
15C2×#17986639C211yesmaximal, characteristic, complemented
16C2×#17986636C211yesmaximal, characteristic, complemented
17C2×#17986628C211yesmaximal, characteristic, complemented
18C2×#17986619C211yesmaximal, characteristic, complemented
19C2×#17986615C211yesmaximal, characteristic, complemented
20C2×#17986601C211yesmaximal, characteristic, complemented
21C2×#17986601C211yesmaximal, characteristic, complemented
22C2×#17986564C211yesmaximal, characteristic, complemented
23C2×#17986548C211yesmaximal, characteristic, complemented
24C2×#17986546C211yesmaximal, characteristic, complemented
25C2×#17986532C211yesmaximal, characteristic, complemented
26C2×#17986527C211yesmaximal, characteristic, complemented
27C2×#17986507C211yesmaximal, characteristic, complemented
28C22×#14556101C211yesmaximal, characteristic, complemented
29C2×#17986478C211yesmaximal, characteristic, complemented
30C2×#17986472C211yesmaximal, characteristic, complemented
31C2×#117×D71C211yesmaximal, characteristic, complemented
32C2×#551×C71C211yesmaximal, characteristic, complemented
33C22×#11765866C2211yescharacteristic, complemented
34C22×#11765865C2211yescharacteristic, complemented
35C22×#11765865C2211yescharacteristic, complemented
36C22×#11765864C2211yescharacteristic
37C22×#11765864C2211yescharacteristic, complemented
38C23×D284C2211yescharacteristic
39C23×C22⋊D71C2211yescharacteristic
40C23×C22⋊D71C2211yescharacteristic
41C23×C4×D71C2211yescharacteristic
42#17986712C22116yescomplemented
43#17986711C22116yescomplemented
44#17986700C22116yescomplemented
45#17986700C22116yescomplemented
46#17986698C22116yescomplemented
47#17986694C22116yescomplemented
48#17986675C22116yescomplemented
49#17986673C22116yescomplemented
50#17986672C22116yescomplemented
51#17986651C22116yescomplemented
52#17986647C22116yescomplemented
53#17986645C22116yescomplemented
54#17986640C22116yescomplemented
55#17986639C22116yescomplemented
56#17986636C22116yescomplemented
57#17986628C22116yescomplemented
58#17986619C22116yescomplemented
59#17986615C22116yescomplemented
60#17986601C22116yescomplemented
61#17986601C22116yescomplemented
62#17986564C22116yescomplemented
63#17986548C22116yescomplemented
64#17986546C22116yescomplemented
65C2×#14556127C2211yescharacteristic, complemented
66C2×#14556127C2211yescharacteristic, complemented
67C2×#14556126C2211yescharacteristic, complemented
68C2×#14556126C2211yescharacteristic, complemented
69C2×#14556124C2211yescharacteristic, complemented
70C2×#14556124C2211yescharacteristic, complemented
71#17986532C22116yescomplemented
72#17986527C22116yescomplemented
73C2×#14556123C2211yescharacteristic, complemented
74C2×#14556123C2211yescharacteristic, complemented
75C2×#14556123C2211yescharacteristic, complemented
76C2×#14556122C2211yescharacteristic, complemented
77C2×#14556121C2211yescharacteristic, complemented
78C2×#14556121C2211yescharacteristic, complemented
79C2×#14556118C2211yescharacteristic, complemented
80C2×#14556118C2211yescharacteristic, complemented
81C2×#14556118C2211yescharacteristic, complemented
82C2×#14556118C2211yescharacteristic, complemented
83C2×#14556117C2211yescharacteristic, complemented
84C2×#14556116C2211yescharacteristic, complemented
85C2×#14556116C2211yescharacteristic, complemented
86C2×#14556114C2211yescharacteristic, complemented
87C2×#14556114C2211yescharacteristic, complemented
88C2×#14556114C2211yescharacteristic, complemented
89C2×#14556114C2211yescharacteristic, complemented
90C2×#14556114C2211yescharacteristic, complemented
91C2×#14556114C2211yescharacteristic, complemented
92#17986507C22116yescomplemented
93C2×#14556113C2211yescharacteristic, complemented
94C2×#14556113C2211yescharacteristic, complemented
95C2×#14556113C2211yescharacteristic, complemented
96C2×#14556113C2211yescharacteristic, complemented
97C2×#14556113C2211yescharacteristic, complemented
98C2×#14556113C2211yescharacteristic, complemented
99C2×#14556112C2211yescharacteristic, complemented
100C2×#14556112C2211yescharacteristic, complemented
101C2×#14556112C2211yescharacteristic, complemented
102C2×#14556111C2211yescharacteristic
103C2×#14556111C2211yescharacteristic, complemented
104C2×#14556110C2211yescharacteristic, complemented
105C2×#14556110C2211yescharacteristic, complemented
106C2×#14556110C2211yescharacteristic, complemented
107C2×#14556110C2211yescharacteristic, complemented
108C2×#14556108C2211yescharacteristic, complemented
109C2×#14556107C2211yescharacteristic
110C2×#14556106C2211yescharacteristic, complemented
111C2×#14556106C2211yescharacteristic, complemented
112C2×#14556106C2211yescharacteristic, complemented
113C2×#14556105C2211yescharacteristic
114C2×#14556105C2211yescharacteristic
115C2×#14556105C2211yescharacteristic, complemented
116C2×#14556103C2211yescharacteristic, complemented
117C2×#14556103C2211yescharacteristic, complemented
118C2×#14556103C2211yescharacteristic, complemented
119C2×#14556102C2211yescharacteristic, complemented
120C2×#14556102C2211yescharacteristic, complemented
121C2×#14556101C2211yescharacteristic
122C2×#14556101C2211yescharacteristic
123C2×#14556101C2211yescharacteristic
124C2×#14556101C2211yescharacteristic
125C2×#14556101C2211yescharacteristic
126C2×#14556101C2211yescharacteristic
127C2×#14556101C2211yescharacteristic
128C2×#14556101C2211yescharacteristic
129C2×#14556101C22116yescomplemented
130C2×#14556101C2211yescharacteristic, complemented
131C2×#14556101C2211yescharacteristic, complemented
132C2×#14556101C2211yescharacteristic, complemented
133C2×#14556101C2211yescharacteristic, complemented
134C2×#14556101C2211yescharacteristic, complemented
135C2×#14556101C2211yescharacteristic, complemented
136C2×#14556101C2211yescharacteristic, complemented
137C2×#14556101C2211yescharacteristic, complemented
138C2×#14556100C2211yescharacteristic, complemented
139C2×#14556100C2211yescharacteristic, complemented
140C2×#14556100C2211yescharacteristic, complemented
141C2×#14556100C2211yescharacteristic, complemented
142C2×#14556099C2211yescharacteristic, complemented
143C2×#14556098C2211yescharacteristic
144C2×#14556098C2211yescharacteristic
145C2×#14556097C2211yescharacteristic
146C2×#14556096C2211yescharacteristic
147C2×#14556096C2211yescharacteristic
148#17986478C22116yescomplemented
149#17986472C22116yescomplemented
150C2×C4×Dic142C2211yescharacteristic, complemented
151C2×#14556093C2211yescharacteristic, complemented
152C2×C4×D284C2211yescharacteristic, complemented
153C2×C4×D284C2211yescharacteristic, complemented
154C2×D4×Dic71C2211yescharacteristic
155C2×#14556090C2211yescharacteristic, complemented
156C2×#14556090C2211yescharacteristic, complemented
157C2×#14556090C2211yescharacteristic, complemented
158C2×C4×C22⋊D71C2211yescharacteristic
159C2×C4×C22⋊D71C2211yescharacteristic, complemented
160C2×C4×C22⋊D71C2211yescharacteristic, complemented
161C2×C4×C22⋊D71C2211yescharacteristic, complemented
162C2×C4×C22⋊D71C2211yescharacteristic, complemented
163C2×C4×C22⋊D71C2211yescharacteristic, complemented
164C2×C4×C22⋊D71C2211yescharacteristic, complemented
165C2×(C22⋊D71)⋊C4C2211yescharacteristic
166C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
167C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
168C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
169C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
170C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
171C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
172C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
173C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
174C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
175C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
176C2×#14556087C2211yescharacteristic
177C2×#14556086C2211yescharacteristic, complemented
178C2×#14556086C2211yescharacteristic, complemented
179C2×#14556086C2211yescharacteristic, complemented
180C2×#14556085C2211yescharacteristic, complemented
181C2×#14556085C2211yescharacteristic, complemented
182C2×#14556085C2211yescharacteristic, complemented
183C2×#14556085C2211yescharacteristic, complemented
184C2×#14556084C2211yescharacteristic
185C2×#14556084C2211yescharacteristic
186C2×#14556084C2211yescharacteristic
187C2×#14556084C2211yescharacteristic, complemented
188C2×#14556084C2211yescharacteristic, complemented
189#117×D71C22116yescomplemented
190C22×Dic71⋊C4C2211yescharacteristic
191C22×Dic71⋊C4C2211yescharacteristic, complemented
192C2×C4⋊C4×D71C2211yescharacteristic, complemented
193C2×C4⋊C4×D71C2211yescharacteristic, complemented
194C2×C4⋊C4×D71C2211yescharacteristic, complemented
195C22×C22⋊Dic71C2211yescharacteristic
196C22×(C2×D71)⋊C4C2211yescharacteristic
197C2×C22⋊C4×D71C2211yescharacteristic
198C2×C22⋊C4×D71C2211yescharacteristic
199C2×C22⋊C4×D71C2211yescharacteristic
200C2×C22⋊C4×D71C2211yescharacteristic
201C2×C42×D71C2211yescharacteristic, complemented
202C2×C42×D71C2211yescharacteristic, complemented
203#551×C71C22116yescomplemented
204C2×#126×C71C2211yescharacteristic, complemented
205C2×#126×C71C2211yescharacteristic, complemented
206C2×#124×C71C2211yescharacteristic, complemented
207C2×#123×C71C2211yescharacteristic
208C2×#123×C71C2211yescharacteristic, complemented
209C2×#123×C71C2211yescharacteristic, complemented
210C2×C22⋊Q8×C71C2211yescharacteristic
211C2×C22⋊Q8×C71C2211yescharacteristic, complemented
212C2×#120×C71C2211yescharacteristic
213C2×C4×D4×C71C2211yescharacteristic
214C2×C4×D4×C71C2211yescharacteristic, complemented
215C2×#117×C71C2211yescharacteristic
216C2×#117×C71C2211yescharacteristic, complemented
217C22×C22⋊C4×C71C2211yescharacteristic
218C22×C22⋊C4×C71C2211yescharacteristic
219C24×D71C2311yescharacteristic
220C24×D71C2311yescharacteristic
221C2×#11765866—44no—
222C2×#11765866C2318yescomplemented
223C2×#11765865—44no—
224C2×#11765865—44no—
225C2×#11765865C2318yescomplemented
226C2×#11765865C2318yescomplemented
227C2×#11765864—28no—
228C2×#11765864—44no—
229C2×#11765864C2318yes—
230C2×#11765864C2318yescomplemented
231C22×Dic142C2311yescharacteristic
232C22×Dic142C2311yescharacteristic
233C22×Dic142C2311yescharacteristic
234C22×Dic142C2311yescharacteristic
235C22×D284—44no—
236C22×D284C2311yescharacteristic
237C22×D284C2311yescharacteristic
238C22×D284C2311yescharacteristic
239C22×D284C2318yes—
240C22×D284C2311yescharacteristic
241C22×D284C2311yescharacteristic
242C22×D284C2311yescharacteristic
243C22×D284C2311yescharacteristic
244C22×D284C2311yescharacteristic
245C22×C22⋊D71—28no—
246C22×C22⋊D71—44no—
247C22×C22⋊D71C2318yes—
248C22×C22⋊D71C2311yescharacteristic
249C22×C22⋊D71C2311yescharacteristic
250C22×C22⋊D71C2311yescharacteristic
251C22×C22⋊D71C2311yescharacteristic
252C22×C22⋊D71C2311yescharacteristic
253C22×C22⋊D71C2311yescharacteristic
254C22×C22⋊D71C2311yescharacteristic
255C22×C22⋊D71C2311yescharacteristic
256C22×C22⋊D71C2311yescharacteristic
257C22×C22⋊D71C2318yes—
258C22×C22⋊D71C2311yescharacteristic
259C22×C22⋊D71C2311yescharacteristic
260C22×C22⋊D71C2311yescharacteristic
261C22×C22⋊D71C2311yescharacteristic
262C22×C22⋊D71C2311yescharacteristic
263C22×C22⋊D71C2311yescharacteristic
264C22×C22⋊D71C2311yescharacteristic
265C23×Dic71C2311yescharacteristic
266C23×Dic71C2311yescharacteristic
267C23×Dic71C2311yescharacteristic
268C23×Dic71C2311yescharacteristic
269C23×Dic71C2311yescharacteristic
270C23×Dic71C2311yescharacteristic
271C22×C4×D71—28no—
272C22×C4×D71C2311yescharacteristic
273C22×C4×D71C2311yescharacteristic
274C22×C4×D71C2318yes—
275C22×C4×D71C2311yescharacteristic
276C22×C4×D71C2311yescharacteristic
277C22×C4×D71C2311yescharacteristic
278C22×C4×D71C2311yescharacteristic
279C22×C4×D71C2311yescharacteristic
280C22×C4×D71C2311yescharacteristic
281C22×C4×D71C2311yescharacteristic
282C22×C4×D71C2311yescharacteristic
283C22×C4×D71C2311yescharacteristic
284C22×C4×D71C2311yescharacteristic
285C22×C4×D71C2311yescharacteristic
286C22×C4×D71C2311yescharacteristic
287C22×C4×D71C2311yescharacteristic
288#14556127C2318yescomplemented
289#14556127C2318yescomplemented
290#14556126C2318yescomplemented
291#14556126C2318yescomplemented
292#14556124C2318yescomplemented
293#14556124C2318yescomplemented
294#14556123C2318yescomplemented
295#14556123C2318yescomplemented
296#14556123C2318yescomplemented
297#14556122C2318yescomplemented
298#14556121C2318yescomplemented
299#14556121C2318yescomplemented
300#14556118C2318yescomplemented
301#14556118C2318yescomplemented
302#14556118C2318yescomplemented
303#14556118C2318yescomplemented
304#14556117C2318yescomplemented
305#14556116C2318yescomplemented
306#14556116C2318yescomplemented
307#14556114C2318yescomplemented
308#14556114C2318yescomplemented
309#14556114C2318yescomplemented
310#14556114C2318yescomplemented
311#14556114C2318yescomplemented
312#14556114C2318yescomplemented
313#14556113C2318yescomplemented
314#14556113C2318yescomplemented
315#14556113C2318yescomplemented
316#14556113C2318yescomplemented
317#14556113C2318yescomplemented
318#14556113C2318yescomplemented
319#14556112C2318yescomplemented
320#14556112C2318yescomplemented
321#14556112C2318yescomplemented
322#14556111C2318yes—
323#14556111C2318yescomplemented
324#14556110C2318yescomplemented
325#14556110C2318yescomplemented
326#14556110C2318yescomplemented
327#14556110C2318yescomplemented
328#14556108C2318yescomplemented
329#14556107C2318yes—
330#14556106C2318yescomplemented
331#14556106C2318yescomplemented
332#14556106C2318yescomplemented
333#14556105C2318yes—
334#14556105C2318yes—
335#14556105C2318yescomplemented
336#14556103C2318yescomplemented
337#14556103C2318yescomplemented
338#14556103C2318yescomplemented
339#14556102C2318yescomplemented
340#14556102C2318yescomplemented
341#14556101C2318yes—
342#14556101C2318yes—
343#14556101C2318yes—
344#14556101C2318yes—
345#14556101C2318yes—
346#14556101C2318yes—
347#14556101C2318yes—
348#14556101C2318yes—
349#14556101C2318yescomplemented
350#14556101C2318yescomplemented
351#14556101C2318yescomplemented
352#14556101C2318yescomplemented
353#14556101C2318yescomplemented
354#14556101C2318yescomplemented
355#14556101C2318yescomplemented
356#14556101C2318yescomplemented
357#14556100C2318yescomplemented
358#14556100C2318yescomplemented
359#14556100C2318yescomplemented
360#14556100C2318yescomplemented
361#14556099C2318yescomplemented
362#14556098C2318yes—
363#14556098C2318yes—
364#14556097C2318yes—
365#14556096C2318yes—
366#14556096C2318yes—
367C4×Dic142C2318yescomplemented
368#14556093C2318yescomplemented
369C4×D284C2318yescomplemented
370C4×D284C2318yescomplemented
371D4×Dic71C2318yes—
372#14556090C2318yescomplemented
373#14556090C2318yescomplemented
374#14556090C2318yescomplemented
375C4×C22⋊D71C2318yes—
376C4×C22⋊D71C2318yescomplemented
377C4×C22⋊D71C2318yescomplemented
378C4×C22⋊D71C2318yescomplemented
379C4×C22⋊D71C2318yescomplemented
380C4×C22⋊D71C2318yescomplemented
381C4×C22⋊D71C2318yescomplemented
382(C22⋊D71)⋊C4C2318yes—
383(C22⋊D71)⋊C4C2318yescomplemented
384(C22⋊D71)⋊C4C2318yescomplemented
385(C22⋊D71)⋊C4C2318yescomplemented
386(C22⋊D71)⋊C4C2318yescomplemented
387(C22⋊D71)⋊C4C2318yescomplemented
388(C22⋊D71)⋊C4C2318yescomplemented
389(C22⋊D71)⋊C4C2318yescomplemented
390(C22⋊D71)⋊C4C2318yescomplemented
391(C22⋊D71)⋊C4C2318yescomplemented
392(C22⋊D71)⋊C4C2318yescomplemented
393#14556087C2318yes—
394#14556086C2318yescomplemented
395#14556086C2318yescomplemented
396#14556086C2318yescomplemented
397#14556085C2318yescomplemented
398#14556085C2318yescomplemented
399#14556085C2318yescomplemented
400#14556085C2318yescomplemented
401#14556084C2318yes—
402#14556084C2318yes—
403#14556084C2318yes—
404#14556084C2318yescomplemented
405#14556084C2318yescomplemented
406C2×C4⋊Dic71C2311yescharacteristic
407C2×C4⋊Dic71C2311yescharacteristic
408C2×C4⋊Dic71C2311yescharacteristic
409C2×C4⋊Dic71C2311yescharacteristic
410C2×C4⋊Dic71C2311yescharacteristic
411C2×C4⋊Dic71C2311yescharacteristic
412C2×Dic71⋊C4C2318yes—
413C2×Dic71⋊C4C2311yescharacteristic
414C2×Dic71⋊C4C2311yescharacteristic
415C2×Dic71⋊C4C2311yescharacteristic
416C2×Dic71⋊C4C2311yescharacteristic
417C2×Dic71⋊C4C2311yescharacteristic
418C2×Dic71⋊C4C2311yescharacteristic
419C2×Dic71⋊C4C2311yescharacteristic
420C2×Dic71⋊C4C2311yescharacteristic
421C2×Dic71⋊C4C2311yescharacteristic
422C2×Dic71⋊C4C2311yescharacteristic
423C2×Dic71⋊C4C2311yescharacteristic
424C2×Dic71⋊C4C2311yescharacteristic
425C2×Dic71⋊C4C2311yescharacteristic
426C2×Dic71⋊C4C2311yescharacteristic
427C2×Dic71⋊C4C2311yescharacteristic
428C2×Dic71⋊C4C2311yescharacteristic
429C2×Dic71⋊C4C2311yescharacteristic
430C2×Dic71⋊C4C2311yescharacteristic
431C2×Dic71⋊C4C2311yescharacteristic
432C2×Dic71⋊C4C2311yescharacteristic
433C2×Dic71⋊C4C2318yescomplemented
434C4⋊C4×D71C2318yescomplemented
435C4⋊C4×D71C2318yescomplemented
436C4⋊C4×D71C2318yescomplemented
437C2×C22⋊Dic71C2318yes—
438C2×C22⋊Dic71C2311yescharacteristic
439C2×C22⋊Dic71C2311yescharacteristic
440C2×C22⋊Dic71C2311yescharacteristic
441C2×C22⋊Dic71C2311yescharacteristic
442C2×C22⋊Dic71C2311yescharacteristic
443C2×C22⋊Dic71C2311yescharacteristic
444C2×C22⋊Dic71C2311yescharacteristic
445C2×C22⋊Dic71C2311yescharacteristic
446C2×(C2×D71)⋊C4C2318yes—
447C2×(C2×D71)⋊C4C2311yescharacteristic
448C2×(C2×D71)⋊C4C2311yescharacteristic
449C2×(C2×D71)⋊C4C2311yescharacteristic
450C2×(C2×D71)⋊C4C2311yescharacteristic
451C2×(C2×D71)⋊C4C2311yescharacteristic
452C2×(C2×D71)⋊C4C2311yescharacteristic
453C2×(C2×D71)⋊C4C2311yescharacteristic
454C2×(C2×D71)⋊C4C2311yescharacteristic
455C2×(C2×D71)⋊C4C2311yescharacteristic
456C2×(C2×D71)⋊C4C2311yescharacteristic
457C2×(C2×D71)⋊C4C2311yescharacteristic
458C2×(C2×D71)⋊C4C2311yescharacteristic
459C2×(C2×D71)⋊C4C2311yescharacteristic
460C2×(C2×D71)⋊C4C2311yescharacteristic
461C2×(C2×D71)⋊C4C2311yescharacteristic
462C2×(C2×D71)⋊C4C2311yescharacteristic
463C2×(C2×D71)⋊C4C2311yescharacteristic
464C2×(C2×D71)⋊C4C2311yescharacteristic
465C2×(C2×D71)⋊C4C2311yescharacteristic
466C2×(C2×D71)⋊C4C2311yescharacteristic
467C2×(C2×D71)⋊C4C2311yescharacteristic
468C2×(C2×D71)⋊C4C2311yescharacteristic
469C2×(C2×D71)⋊C4C2311yescharacteristic
470C2×(C2×D71)⋊C4C2311yescharacteristic
471C22⋊C4×D71C2318yes—
472C22⋊C4×D71C2318yes—
473C22⋊C4×D71C2318yes—
474C22⋊C4×D71C2318yes—
475C2×C4×Dic71C2311yescharacteristic
476C2×C4×Dic71C2311yescharacteristic
477C2×C4×Dic71C2311yescharacteristic
478C2×C4×Dic71C2311yescharacteristic
479C2×C4×Dic71C2311yescharacteristic
480C2×C4×Dic71C2311yescharacteristic
481C2×C4×Dic71C2311yescharacteristic
482C2×C4×Dic71C2311yescharacteristic
483C2×C4×Dic71C2311yescharacteristic
484C2×C4×Dic71C2311yescharacteristic
485C2×C4×Dic71C2311yescharacteristic
486C42×D71C2318yescomplemented
487C42×D71C2318yescomplemented
488C25×C71C2311yescharacteristic
489C22×Q8×C71C2311yescharacteristic
490C22×D4×C71C2311yescharacteristic
491C22×D4×C71C2311yescharacteristic
492C22×D4×C71C2311yescharacteristic
493C23×C4×C71C2311yescharacteristic
494C23×C4×C71C2311yescharacteristic
495C23×C4×C71C2311yescharacteristic
496C23×C4×C71C2311yescharacteristic
497C23×C4×C71C2311yescharacteristic
498#126×C71C2318yescomplemented
499#126×C71C2318yescomplemented
500#124×C71C2318yescomplemented
501#123×C71C2318yes—
502#123×C71C2318yescomplemented
503#123×C71C2318yescomplemented
504C22⋊Q8×C71C2318yes—
505C22⋊Q8×C71C2318yescomplemented
506#120×C71C2318yes—
507C4×D4×C71C2318yes—
508C4×D4×C71C2318yescomplemented
509#117×C71C2318yes—
510#117×C71C2318yescomplemented
511C2×C4⋊C4×C71C2311yescharacteristic
512C2×C4⋊C4×C71C2311yescharacteristic
513C2×C4⋊C4×C71C2311yescharacteristic
514C2×C4⋊C4×C71C2311yescharacteristic
515C2×C4⋊C4×C71C2311yescharacteristic
516C2×C4⋊C4×C71C2311yescharacteristic
517C2×C4⋊C4×C71C2311yescharacteristic
518C2×C4⋊C4×C71C2311yescharacteristic
519C2×C22⋊C4×C71C2318yes—
520C2×C22⋊C4×C71C2311yescharacteristic
521C2×C22⋊C4×C71C2311yescharacteristic
522C2×C22⋊C4×C71C2318yes—
523C2×C22⋊C4×C71C2311yescharacteristic
524C2×C22⋊C4×C71C2311yescharacteristic
525C2×C22⋊C4×C71C2311yescharacteristic
526C2×C22⋊C4×C71C2311yescharacteristic
527C2×C22⋊C4×C71C2311yescharacteristic
528C2×C22⋊C4×C71C2311yescharacteristic
529C2×C22⋊C4×C71C2311yescharacteristic
530C2×C22⋊C4×C71C2311yescharacteristic
531C2×C22⋊C4×C71C2311yescharacteristic
532C2×C22⋊C4×C71C2311yescharacteristic
533C2×C22⋊C4×C71C2311yescharacteristic
534C2×C22⋊C4×C71C2311yescharacteristic
535C2×C42×C71C2311yescharacteristic
536C2×C42×C71C2311yescharacteristic
537C2×C42×C71C2311yescharacteristic
538C23×D71—24no—
539C23×D71—24no—
540C23×D71—24no—
541C23×D71—42no—
542C23×D71—42no—
543C23×D71—42no—
544C23×D71C2411yescharacteristic
545C23×D71C2411yescharacteristic
546C23×D71C2411yescharacteristic
547C23×D71C2411yescharacteristic
548C23×D71C2414yes—
549C23×D71C2411yescharacteristic
550C23×D71C2414yes—
551#11765866—416no—
552#11765865—416no—
553#11765865—416no—
554#11765864—232no—
555#11765864—416no—
556C2×Dic142—24no—
557C2×Dic142—42no—
558C2×Dic142—42no—
559C2×Dic142—42no—
560C2×Dic142C2414yes—
561C2×Dic142C2414yes—
562C2×Dic142C2414yes—
563C2×Dic142C2414yes—
564C2×D284—24no—
565C2×D284—24no—
566C2×D284—24no—
567C2×D284—416no—
568C2×D284—42no—
569C2×D284—42no—
570C2×D284—42no—
571C2×D284—42no—
572C2×D284—42no—
573C2×D284C2414yes—
574C2×D284C2414yes—
575C2×D284C2414yes—
576C2×D284C2414yes—
577C2×D284C2414yes—
578C2×D284C2414yes—
579C2×D284C2414yes—
580C2×D284C2414yes—
581C2×C22⋊D71—24no—
582C2×C22⋊D71—24no—
583C2×C22⋊D71—24no—
584C2×C22⋊D71—24no—
585C2×C22⋊D71—24no—
586C2×C22⋊D71—24no—
587C2×C22⋊D71—24no—
588C2×C22⋊D71—24no—
589C2×C22⋊D71—24no—
590C2×C22⋊D71—232no—
591C2×C22⋊D71—42no—
592C2×C22⋊D71—42no—
593C2×C22⋊D71—42no—
594C2×C22⋊D71—42no—
595C2×C22⋊D71—42no—
596C2×C22⋊D71—42no—
597C2×C22⋊D71—42no—
598C2×C22⋊D71—416no—
599C2×C22⋊D71C2414yes—
600C2×C22⋊D71C2414yes—
601C2×C22⋊D71C2414yes—
602C2×C22⋊D71C2414yes—
603C2×C22⋊D71C2414yes—
604C2×C22⋊D71C2414yes—
605C2×C22⋊D71C2414yes—
606C2×C22⋊D71C2414yes—
607C2×C22⋊D71C2414yes—
608C2×C22⋊D71C2414yes—
609C2×C22⋊D71C2414yes—
610C2×C22⋊D71C2414yes—
611C2×C22⋊D71C2414yes—
612C2×C22⋊D71C2414yes—
613C2×C22⋊D71C2414yes—
614C2×C22⋊D71C2414yes—
615C22×Dic71—24no—
616C22×Dic71—42no—
617C22×Dic71—42no—
618C22×Dic71—42no—
619C22×Dic71—42no—
620C22×Dic71#4118yescomplemented
621C22×Dic71C2411yescharacteristic
622C22×Dic71C2411yescharacteristic
623C22×Dic71C2411yescharacteristic
624C22×Dic71C2411yescharacteristic
625C22×Dic71C2411yescharacteristic
626C22×Dic71C2411yescharacteristic
627C22×Dic71C2411yescharacteristic
628C22×Dic71C2411yescharacteristic
629C22×Dic71C2411yescharacteristic
630C22×Dic71C2414yes—
631C22×Dic71C2414yes—
632C22×Dic71C2414yes—
633C22×Dic71C2414yes—
634C22×Dic71C2414yes—
635C22×Dic71C2411yescharacteristic
636C22×Dic71C2411yescharacteristic
637C22×Dic71C2414yes—
638C2×C4×D71—24no—
639C2×C4×D71—24no—
640C2×C4×D71—24no—
641C2×C4×D71—24no—
642C2×C4×D71—24no—
643C2×C4×D71—24no—
644C2×C4×D71—24no—
645C2×C4×D71—232no—
646C2×C4×D71—42no—
647C2×C4×D71—42no—
648C2×C4×D71—42no—
649C2×C4×D71—42no—
650C2×C4×D71—42no—
651C2×C4×D71—42no—
652C2×C4×D71—42no—
653C2×C4×D71—42no—
654C2×C4×D71C2414yes—
655C2×C4×D71C2414yes—
656C2×C4×D71C2414yes—
657C2×C4×D71C2414yes—
658C2×C4×D71C2414yes—
659C2×C4×D71C2414yes—
660C2×C4×D71C2414yes—
661C2×C4×D71C2414yes—
662C2×C4×D71C2414yes—
663C2×C4×D71C2414yes—
664C2×C4×D71C2414yes—
665C2×C4×D71C2414yes—
666C2×C4×D71C2414yes—
667C2×C4×D71C2414yes—
668C2×C4×D71C2414yes—
669C4⋊Dic71C2414yes—
670C4⋊Dic71C2414yes—
671C4⋊Dic71C2414yes—
672C4⋊Dic71C2414yes—
673C4⋊Dic71C2414yes—
674C4⋊Dic71C2414yes—
675Dic71⋊C4C2414yes—
676Dic71⋊C4C2414yes—
677Dic71⋊C4C2414yes—
678Dic71⋊C4C2414yes—
679Dic71⋊C4C2414yes—
680Dic71⋊C4C2414yes—
681Dic71⋊C4C2414yes—
682Dic71⋊C4C2414yes—
683Dic71⋊C4C2414yes—
684Dic71⋊C4C2414yes—
685Dic71⋊C4C2414yes—
686Dic71⋊C4C2414yes—
687Dic71⋊C4C2414yes—
688Dic71⋊C4C2414yes—
689Dic71⋊C4C2414yes—
690Dic71⋊C4C2414yes—
691Dic71⋊C4C2414yes—
692Dic71⋊C4C2414yes—
693Dic71⋊C4C2414yes—
694Dic71⋊C4C2414yes—
695C22⋊Dic71C2414yes—
696C22⋊Dic71C2414yes—
697C22⋊Dic71C2414yes—
698C22⋊Dic71C2414yes—
699C22⋊Dic71C2414yes—
700C22⋊Dic71C2414yes—
701C22⋊Dic71C2414yes—
702C22⋊Dic71C2414yes—
703(C2×D71)⋊C4C2414yes—
704(C2×D71)⋊C4C2414yes—
705(C2×D71)⋊C4C2414yes—
706(C2×D71)⋊C4C2414yes—
707(C2×D71)⋊C4C2414yes—
708(C2×D71)⋊C4C2414yes—
709(C2×D71)⋊C4C2414yes—
710(C2×D71)⋊C4C2414yes—
711(C2×D71)⋊C4C2414yes—
712(C2×D71)⋊C4C2414yes—
713(C2×D71)⋊C4C2414yes—
714(C2×D71)⋊C4C2414yes—
715(C2×D71)⋊C4C2414yes—
716(C2×D71)⋊C4C2414yes—
717(C2×D71)⋊C4C2414yes—
718(C2×D71)⋊C4C2414yes—
719(C2×D71)⋊C4C2414yes—
720(C2×D71)⋊C4C2414yes—
721(C2×D71)⋊C4C2414yes—
722(C2×D71)⋊C4C2414yes—
723(C2×D71)⋊C4C2414yes—
724(C2×D71)⋊C4C2414yes—
725(C2×D71)⋊C4C2414yes—
726(C2×D71)⋊C4C2414yes—
727C4×Dic71C2414yes—
728C4×Dic71C2414yes—
729C4×Dic71C2414yes—
730C4×Dic71C2414yes—
731C4×Dic71C2414yes—
732C4×Dic71C2414yes—
733C4×Dic71C2414yes—
734C4×Dic71C2414yes—
735C4×Dic71C2414yes—
736C4×Dic71C2414yes—
737C4×Dic71C2414yes—
738C24×C71—24no—
739C24×C71—42no—
740C24×C71—42no—
741C24×C71C2411yescharacteristic
742C24×C71C2411yescharacteristic
743C24×C71C2411yescharacteristic
744C24×C71C2411yescharacteristic
745C24×C71C2414yes—
746C2×Q8×C71—42no—
747C2×Q8×C71C2414yes—
748C2×D4×C71—24no—
749C2×D4×C71—42no—
750C2×D4×C71—42no—
751C2×D4×C71C2414yes—
752C2×D4×C71C2414yes—
753C2×D4×C71C2414yes—
754C22×C4×C71—24no—
755C22×C4×C71—42no—
756C22×C4×C71—42no—
757C22×C4×C71—42no—
758C22×C4×C71—42no—
759C22×C4×C71C2411yescharacteristic
760C22×C4×C71C2411yescharacteristic
761C22×C4×C71C2411yescharacteristic
762C22×C4×C71C2411yescharacteristic
763C22×C4×C71C2414yes—
764C22×C4×C71C2411yescharacteristic
765C22×C4×C71C2411yescharacteristic
766C22×C4×C71C2411yescharacteristic
767C22×C4×C71C2411yescharacteristic
768C22×C4×C71C2411yescharacteristic
769C22×C4×C71C2411yescharacteristic
770C22×C4×C71C2411yescharacteristic
771C22×C4×C71C2414yes—
772C22×C4×C71C2414yes—
773C22×C4×C71C2414yes—
774C22×C4×C71C2414yes—
775C4⋊C4×C71C2414yes—
776C4⋊C4×C71C2414yes—
777C4⋊C4×C71C2414yes—
778C4⋊C4×C71C2414yes—
779C4⋊C4×C71C2414yes—
780C4⋊C4×C71C2414yes—
781C4⋊C4×C71C2414yes—
782C4⋊C4×C71C2414yes—
783C22⋊C4×C71C2414yes—
784C22⋊C4×C71C2414yes—
785C22⋊C4×C71C2414yes—
786C22⋊C4×C71C2414yes—
787C22⋊C4×C71C2414yes—
788C22⋊C4×C71C2414yes—
789C22⋊C4×C71C2414yes—
790C22⋊C4×C71C2414yes—
791C22⋊C4×C71C2414yes—
792C22⋊C4×C71C2414yes—
793C22⋊C4×C71C2414yes—
794C22⋊C4×C71C2414yes—
795C22⋊C4×C71C2414yes—
796C22⋊C4×C71C2414yes—
797C42×C71C2414yes—
798C42×C71C2414yes—
799C42×C71C2414yes—
800C23×C71—22no—
801C23×C71—22no—
802C23×C71—22no—
803C23×C71—22no—
804C23×C71—22no—
805C23×C71—22no—
806C23×C71—22no—
807C23×C71—22no—
808C23×C71—22no—
809C23×C71—22no—
810C23×C71—22no—
811C23×C71—28no—
812C23×C71—44no—
813C23×C71—44no—
814C23×C71—88no—
815C23×C71C2×#4114yes—
816C23×C71C2512yes—
817C23×C71C2512yes—
818C23×C71C2512yes—
819C23×C71C2512yes—
820C23×C71C2511yescharacteristic
821C22×D71—22no—
822C22×D71—22no—
823C22×D71—28no—
824C22×D71—22no—
825C22×D71—22no—
826C22×D71—22no—
827C22×D71—22no—
828C22×D71—22no—
829C22×D71—22no—
830C22×D71—22no—
831C22×D71—22no—
832C22×D71—22no—
833C22×D71—22no—
834C22×D71—22no—
835C22×D71—22no—
836C22×D71—28no—
837C22×D71—28no—
838C22×D71—44no—
839C22×D71—44no—
840C22×D71—44no—
841C22×D71—416no—
842C22×D71—88no—
843C22×D71H(5,𝔽2)14yes—
844C22×D71C2512yes—
845C22×D71C2512yes—
846C22×D71C2512yes—
847C22×D71C2512yes—
848C22×D71C2512yes—
849Q8×C71—44no—
850D4×C71—28no—
851D4×C71—44no—
852D4×C71—44no—
853C2×C4×C71—28no—
854C2×C4×C71—22no—
855C2×C4×C71—22no—
856C2×C4×C71—22no—
857C2×C4×C71—22no—
858C2×C4×C71—22no—
859C2×C4×C71—22no—
860C2×C4×C71—22no—
861C2×C4×C71—22no—
862C2×C4×C71—22no—
863C2×C4×C71—22no—
864C2×C4×C71—22no—
865C2×C4×C71—44no—
866C2×C4×C71—44no—
867C2×C4×C71—44no—
868C2×C4×C71—44no—
869C2×C4×C71C2512yes—
870C2×C4×C71C2512yes—
871C2×C4×C71C2512yes—
872C2×C4×C71C2512yes—
873C2×C4×C71C2512yes—
874C2×C4×C71C2512yes—
875C2×C4×C71C2512yes—
876C2×C4×C71C2512yes—
877C2×C4×C71C2512yes—
878C2×C4×C71C2512yes—
879C2×C4×C71C2512yes—
880C22⋊D71—28no—
881C22⋊D71—28no—
882C22⋊D71—28no—
883C22⋊D71—28no—
884C22⋊D71—28no—
885C22⋊D71—28no—
886C22⋊D71—28no—
887C22⋊D71—28no—
888C22⋊D71—28no—
889C22⋊D71—44no—
890C22⋊D71—44no—
891C22⋊D71—44no—
892C22⋊D71—44no—
893C22⋊D71—44no—
894C22⋊D71—44no—
895C22⋊D71—44no—
896C2×Dic71—22no—
897C2×Dic71—22no—
898C2×Dic71—22no—
899C2×Dic71—22no—
900C2×Dic71—22no—
901C2×Dic71—22no—
902C2×Dic71—22no—
903C2×Dic71—22no—
904C2×Dic71—22no—
905C2×Dic71—28no—
906C2×Dic71—44no—
907C2×Dic71—44no—
908C2×Dic71—44no—
909C2×Dic71—44no—
910C2×Dic71C2×#4114yes—
911C2×Dic71C2×#4114yes—
912C2×Dic71C2×#41116yescomplemented
913C2×Dic71C2512yes—
914C2×Dic71C2512yes—
915C2×Dic71C2512yes—
916C2×Dic71C2512yes—
917C2×Dic71C2512yes—
918C2×Dic71C2512yes—
919C2×Dic71C2512yes—
920C2×Dic71C2512yes—
921C2×Dic71C2512yes—
922C2×Dic71C2512yes—
923C2×Dic71C2512yes—
924D284—28no—
925D284—28no—
926D284—28no—
927D284—44no—
928D284—44no—
929D284—44no—
930D284—44no—
931D284—44no—
932C4×D71—28no—
933C4×D71—28no—
934C4×D71—28no—
935C4×D71—28no—
936C4×D71—28no—
937C4×D71—28no—
938C4×D71—28no—
939C4×D71—44no—
940C4×D71—44no—
941C4×D71—44no—
942C4×D71—44no—
943C4×D71—44no—
944C4×D71—44no—
945C4×D71—44no—
946C4×D71—44no—
947Dic142—28no—
948Dic142—44no—
949Dic142—44no—
950Dic142—44no—
951C22×C71—22no—
952C22×C71—22no—
953C22×C71—28no—
954C22×C71—22no—
955C22×C71—22no—
956C22×C71—22no—
957C22×C71—22no—
958C22×C71—22no—
959C22×C71—22no—
960C22×C71—22no—
961C22×C71—22no—
962C22×C71—22no—
963C22×C71—44no—
964C22×C71—44no—
965C22×C71—44no—
966C22×C71—88no—
967C22×C71C22×#4114yes—
968C22×C71C22×#4112yes—
969C22×C71C2×H(5,𝔽2)12yes—
970C22×C71#58512yes—
971C22×C71C2611yescharacteristic
972C2×D71—22no—
973C2×D71—22no—
974C2×D71—28no—
975C2×D71—22no—
976C2×D71—22no—
977C2×D71—22no—
978C2×D71—22no—
979C2×D71—22no—
980C2×D71—22no—
981C2×D71—22no—
982C2×D71—22no—
983C2×D71—22no—
984C2×D71—22no—
985C2×D71—22no—
986C2×D71—22no—
987C2×D71—416no—
988C2×D71—44no—
989C2×D71—44no—
990C2×D71—44no—
991C2×D71—44no—
992C2×D71—88no—
993C2×D71C2×H(5,𝔽2)14yes—
994C4×C71—22no—
995C4×C71—22no—
996C4×C71—22no—
997C4×C71—22no—
998C4×C71—22no—
999C4×C71—22no—
1000C4×C71—22no—
1001C4×C71—22no—
1002C4×C71—22no—
1003C4×C71—22no—
1004C4×C71—22no—
1005Dic71—22no—
1006Dic71—22no—
1007Dic71—22no—
1008Dic71—22no—
1009Dic71—22no—
1010Dic71—22no—
1011Dic71—22no—
1012Dic71—22no—
1013Dic71—22no—
1014Dic71C22×#4114yes—
1015Dic71C22×#4114yes—
1016C2×#3494—711nomaximal, Sylow
1017C2×C71—24no—
1018C2×C71—42no—
1019C2×C71—42no—
1020C2×C71—42no—
1021C2×C71#349414yescomplemented
1022C2×C71C23×#4111yescharacteristic
1023C2×C71C22×H(5,𝔽2)11yescharacteristic
1024C2×C71C2×#58511yescharacteristic
1025D71—24no—
1026D71—42no—
1027D71—42no—
1028D71—42no—
1029D71—42no—
1030#3494—7132no—
1031C2×#555—711no—
1032C2×#555—711no—
1033C2×#553—711no—
1034C2×#553—711no—
1035C2×#553—711no—
1036C2×#553—711no—
1037C2×#551—711no—
1038C2×#551—711no—
1039C2×#551—711no—
1040C2×#551D7111yescharacteristic, complemented
1041C2×#547—711no—
1042C2×#547—711no—
1043C2×#546—711no—
1044C2×#546—711no—
1045C2×#546—711no—
1046C2×#546—711no—
1047C2×#544—711no—
1048C2×#542—711no—
1049C2×#542—711no—
1050C2×#540—711no—
1051C2×#540—711no—
1052C2×#535—711no—
1053C2×#532—711no—
1054C2×#532—711no—
1055C2×#529—711no—
1056C2×#529—711no—
1057C2×#525—711no—
1058C22×#121—711no—
1059C2×#520—711no—
1060C2×#518—711no—
1061C22×#117—711no—
1062C71C2×#349411yescharacteristic, complemented, Sylow
1063C22×#41—711no—
1064C22×#41—711no—
1065C22×#41—711no—
1066C22×#41—711no—
1067C22×#41—711no—
1068C23×D4—711no—
1069C23×D4—711no—
1070C23×D4—711no—
1071C24×C4—711no—
1072#555—7116no—
1073#555—7116no—
1074#553—7116no—
1075#553—7116no—
1076#553—7116no—
1077#553—7116no—
1078#551—7116no—
1079#551—7116no—
1080#551—7116no—
1081#551C2×D71116yescomplemented
1082#547—7116no—
1083#547—7116no—
1084#546—7116no—
1085#546—7116no—
1086#546—7116no—
1087#546—7116no—
1088#544—7116no—
1089#542—7116no—
1090#542—7116no—
1091#540—7116no—
1092#540—7116no—
1093#535—7116no—
1094#532—7116no—
1095#532—7116no—
1096C2×C4⋊Q8—711no—
1097C2×C4⋊Q8—711no—
1098C2×C4⋊Q8—711no—
1099C2×C4⋊Q8—711no—
1100C2×#127—711no—
1101C2×#127—711no—
1102#529—7116no—
1103#529—7116no—
1104C2×#126—711no—
1105C2×#126—711no—
1106C2×#126—711no—
1107C2×#126—711no—
1108C2×#126—711no—
1109C2×#126—711no—
1110C2×#126C2×D7111yescharacteristic, complemented
1111C2×#126C2×D7111yescharacteristic, complemented
1112C2×#125—711no—
1113C2×#125—711no—
1114C2×#125—711no—
1115C2×#125—711no—
1116C2×#124—711no—
1117C2×#124—711no—
1118C2×#124—711no—
1119C2×#124—711no—
1120C2×#124—711no—
1121C2×#124—711no—
1122C2×#124—711no—
1123C2×#124—711no—
1124C2×#124—711no—
1125C2×#124C2×D7111yescharacteristic, complemented
1126#525—7116no—
1127C2×#123—711no—
1128C2×#123—711no—
1129C2×#123—711no—
1130C2×#123—711no—
1131C2×#123—711no—
1132C2×#123—711no—
1133C2×#123—711no—
1134C2×#123—711no—
1135C2×#123—711no—
1136C2×#123—711no—
1137C2×#123—711no—
1138C2×#123—711no—
1139C2×#123—711no—
1140C2×#123—711no—
1141C2×#123—711no—
1142C2×#123C2×D7111yescharacteristic
1143C2×#123C2×D7111yescharacteristic, complemented
1144C2×#123C2×D7111yescharacteristic, complemented
1145C2×C22⋊Q8—711no—
1146C2×C22⋊Q8—711no—
1147C2×C22⋊Q8—711no—
1148C2×C22⋊Q8—711no—
1149C2×C22⋊Q8—711no—
1150C2×C22⋊Q8—711no—
1151C2×C22⋊Q8—711no—
1152C2×C22⋊Q8—711no—
1153C2×C22⋊Q8C2×D7111yescharacteristic
1154C2×C22⋊Q8C2×D7111yescharacteristic, complemented
1155C2×#121—711no—
1156C2×#121—711no—
1157C2×#121—711no—
1158C2×#121—711no—
1159C2×#121—711no—
1160C2×#121—711no—
1161C2×#121—711no—
1162C2×#121—711no—
1163C2×#121—711no—
1164C2×#121—711no—
1165C2×#121—711no—
1166C2×#121—711no—
1167C2×#121—711no—
1168C2×#121—711no—
1169C2×#121—711no—
1170C2×#121—711no—
1171C2×#121—711no—
1172C2×#121—711no—
1173C2×#121—7116no—
1174C2×#121—711no—
1175C2×#121—711no—
1176C2×#121—711no—
1177C2×#121—711no—
1178C2×#121—711no—
1179C2×#121—711no—
1180C2×#121—711no—
1181C2×#121—711no—
1182C2×#120—711no—
1183C2×#120—711no—
1184C2×#120—711no—
1185C2×#120—711no—
1186C2×#120—711no—
1187C2×#120C2×D7111yescharacteristic
1188#520—7116no—
1189#518—7116no—
1190C2×C4×Q8—711no—
1191C2×C4×Q8—711no—
1192C2×C4×D4—711no—
1193C2×C4×D4—711no—
1194C2×C4×D4—711no—
1195C2×C4×D4—711no—
1196C2×C4×D4—711no—
1197C2×C4×D4—711no—
1198C2×C4×D4—711no—
1199C2×C4×D4—711no—
1200C2×C4×D4—711no—
1201C2×C4×D4—711no—
1202C2×C4×D4—711no—
1203C2×C4×D4—711no—
1204C2×C4×D4—711no—
1205C2×C4×D4—711no—
1206C2×C4×D4—711no—
1207C2×C4×D4—711no—
1208C2×C4×D4—711no—
1209C2×C4×D4—711no—
1210C2×C4×D4—711no—
1211C2×C4×D4—711no—
1212C2×C4×D4—711no—
1213C2×C4×D4—711no—
1214C2×C4×D4—711no—
1215C2×C4×D4—711no—
1216C2×C4×D4C2×D7111yescharacteristic
1217C2×C4×D4C2×D7111yescharacteristic, complemented
1218C2×#117—711no—
1219C2×#117—7116no—
1220C2×#117—711no—
1221C2×#117—711no—
1222C2×#117—711no—
1223C2×#117—711no—
1224C2×#117—711no—
1225C2×#117—711no—
1226C2×#117—711no—
1227C2×#117—711no—
1228C2×#117—711no—
1229C2×#117—711no—
1230C2×#117—711no—
1231C2×#117—711no—
1232C2×#117C2×D7111yescharacteristic
1233C2×#117C2×D7111yescharacteristic, complemented
1234C22×C4⋊C4—711no—
1235C22×C4⋊C4—711no—
1236C22×C4⋊C4—711no—
1237C22×C4⋊C4—711no—
1238C22×C4⋊C4—711no—
1239C22×C22⋊C4—711no—
1240C22×C22⋊C4—711no—
1241C22×C22⋊C4—711no—
1242C22×C22⋊C4—711no—
1243C22×C22⋊C4—711no—
1244C22×C22⋊C4—711no—
1245C22×C22⋊C4C2×D7111yescharacteristic
1246C22×C22⋊C4C2×D7111yescharacteristic
1247C22×C42—711no—
1248C22×C42—711no—
1249C25—711no—
1250C25—711no—
1251C25C22×D7111yescharacteristic
1252C2×#41—2844no—
1253C2×#41—2844no—
1254C2×#41—2844no—
1255C2×#41—2844no—
1256C2×#41—718no—
1257C2×#41—718no—
1258C2×#41—718no—
1259C2×#41—718no—
1260C2×#41—718no—
1261C2×#41—1428no—
1262C22×Q8—711no—
1263C22×Q8—711no—
1264C22×Q8—711no—
1265C22×Q8—711no—
1266C22×Q8C22×D7111yescharacteristic
1267C22×D4—2844no—
1268C22×D4—2844no—
1269C22×D4—711no—
1270C22×D4—711no—
1271C22×D4—711no—
1272C22×D4—711no—
1273C22×D4—711no—
1274C22×D4—711no—
1275C22×D4—711no—
1276C22×D4—718no—
1277C22×D4—711no—
1278C22×D4—711no—
1279C22×D4—711no—
1280C22×D4—711no—
1281C22×D4—711no—
1282C22×D4—711no—
1283C22×D4—711no—
1284C22×D4—711no—
1285C22×D4—711no—
1286C22×D4—718no—
1287C22×D4—711no—
1288C22×D4—711no—
1289C22×D4—711no—
1290C22×D4—711no—
1291C22×D4—711no—
1292C22×D4—718no—
1293C22×D4—711no—
1294C22×D4—711no—
1295C22×D4—711no—
1296C22×D4—1428no—
1297C22×D4C22×D7111yescharacteristic
1298C22×D4C22×D7111yescharacteristic
1299C22×D4C22×D7111yescharacteristic
1300C23×C4—711no—
1301C23×C4—711no—
1302C23×C4—711no—
1303C23×C4—711no—
1304C23×C4—711no—
1305C23×C4—711no—
1306C23×C4—711no—
1307C23×C4—711no—
1308C23×C4—711no—
1309C23×C4—711no—
1310C23×C4—711no—
1311C23×C4—711no—
1312C23×C4—711no—
1313C23×C4—711no—
1314C23×C4—711no—
1315C23×C4—711no—
1316C23×C4—711no—
1317C23×C4—711no—
1318C23×C4—711no—
1319C23×C4—711no—
1320C23×C4—718no—
1321C23×C4—711no—
1322C23×C4—1428no—
1323C23×C4C22×D7111yescharacteristic
1324C23×C4C22×D7111yescharacteristic
1325C23×C4C22×D7111yescharacteristic
1326C23×C4C22×D7111yescharacteristic
1327C23×C4C22×D7111yescharacteristic
1328C4⋊Q8—718no—
1329C4⋊Q8—718no—
1330C4⋊Q8—718no—
1331C4⋊Q8—718no—
1332#127—718no—
1333#127—718no—
1334#126—718no—
1335#126—718no—
1336#126—718no—
1337#126—718no—
1338#126—718no—
1339#126—718no—
1340#126C22×D7118yescomplemented
1341#126C22×D7118yescomplemented
1342#125—718no—
1343#125—718no—
1344#125—718no—
1345#125—718no—
1346#124—718no—
1347#124—718no—
1348#124—718no—
1349#124—718no—
1350#124—718no—
1351#124—718no—
1352#124—718no—
1353#124—718no—
1354#124—718no—
1355#124C22×D7118yescomplemented
1356#123—718no—
1357#123—718no—
1358#123—718no—
1359#123—718no—
1360#123—718no—
1361#123—718no—
1362#123—718no—
1363#123—718no—
1364#123—718no—
1365#123—718no—
1366#123—718no—
1367#123—718no—
1368#123—718no—
1369#123—718no—
1370#123—718no—
1371#123C22×D7118yes—
1372#123C22×D7118yescomplemented
1373#123C22×D7118yescomplemented
1374C22⋊Q8—718no—
1375C22⋊Q8—718no—
1376C22⋊Q8—718no—
1377C22⋊Q8—718no—
1378C22⋊Q8—718no—
1379C22⋊Q8—718no—
1380C22⋊Q8—718no—
1381C22⋊Q8—718no—
1382C22⋊Q8C22×D7118yes—
1383C22⋊Q8C22×D7118yescomplemented
1384#121—718no—
1385#121—718no—
1386#121—718no—
1387#121—718no—
1388#121—718no—
1389#121—718no—
1390#121—718no—
1391#121—718no—
1392#121—718no—
1393#121—718no—
1394#121—718no—
1395#121—718no—
1396#121—718no—
1397#121—718no—
1398#121—718no—
1399#121—718no—
1400#121—718no—
1401#121—718no—
1402#121—718no—
1403#121—718no—
1404#121—718no—
1405#121—718no—
1406#121—718no—
1407#121—718no—
1408#121—718no—
1409#121—718no—
1410#120—718no—
1411#120—718no—
1412#120—718no—
1413#120—718no—
1414#120—718no—
1415#120C22×D7118yes—
1416C4×Q8—718no—
1417C4×Q8—718no—
1418C4×D4—718no—
1419C4×D4—718no—
1420C4×D4—718no—
1421C4×D4—718no—
1422C4×D4—718no—
1423C4×D4—718no—
1424C4×D4—718no—
1425C4×D4—718no—
1426C4×D4—718no—
1427C4×D4—718no—
1428C4×D4—718no—
1429C4×D4—718no—
1430C4×D4—718no—
1431C4×D4—718no—
1432C4×D4—718no—
1433C4×D4—718no—
1434C4×D4—718no—
1435C4×D4—718no—
1436C4×D4—718no—
1437C4×D4—718no—
1438C4×D4—718no—
1439C4×D4—718no—
1440C4×D4—718no—
1441C4×D4—718no—
1442C4×D4C22×D7118yes—
1443C4×D4C22×D7118yescomplemented
1444#117—718no—
1445#117—718no—
1446#117—718no—
1447#117—718no—
1448#117—718no—
1449#117—718no—
1450#117—718no—
1451#117—718no—
1452#117—718no—
1453#117—718no—
1454#117—718no—
1455#117—718no—
1456#117—718no—
1457#117C22×D7118yes—
1458#117C22×D7118yescomplemented
1459C2×C4⋊C4—711no—
1460C2×C4⋊C4—711no—
1461C2×C4⋊C4—711no—
1462C2×C4⋊C4—711no—
1463C2×C4⋊C4—711no—
1464C2×C4⋊C4—711no—
1465C2×C4⋊C4—711no—
1466C2×C4⋊C4—711no—
1467C2×C4⋊C4—711no—
1468C2×C4⋊C4—711no—
1469C2×C4⋊C4—711no—
1470C2×C4⋊C4—711no—
1471C2×C4⋊C4—711no—
1472C2×C4⋊C4—718no—
1473C2×C4⋊C4—718no—
1474C2×C4⋊C4—711no—
1475C2×C4⋊C4—711no—
1476C2×C4⋊C4—711no—
1477C2×C4⋊C4—711no—
1478C2×C4⋊C4—711no—
1479C2×C4⋊C4—711no—
1480C2×C4⋊C4—711no—
1481C2×C4⋊C4—711no—
1482C2×C4⋊C4—711no—
1483C2×C4⋊C4—711no—
1484C2×C4⋊C4—711no—
1485C2×C4⋊C4—711no—
1486C2×C4⋊C4—711no—
1487C2×C4⋊C4—718no—
1488C2×C4⋊C4—718no—
1489C2×C4⋊C4—718no—
1490C2×C4⋊C4C22×D7111yescharacteristic
1491C2×C4⋊C4C22×D7111yescharacteristic
1492C2×C4⋊C4C22×D7111yescharacteristic
1493C2×C4⋊C4C22×D7111yescharacteristic
1494C2×C4⋊C4C22×D7111yescharacteristic
1495C2×C4⋊C4C22×D7111yescharacteristic
1496C2×C4⋊C4C22×D7111yescharacteristic
1497C2×C4⋊C4C22×D7111yescharacteristic
1498C2×C22⋊C4—711no—
1499C2×C22⋊C4—711no—
1500C2×C22⋊C4—711no—
1501C2×C22⋊C4—711no—
1502C2×C22⋊C4—711no—
1503C2×C22⋊C4—718no—
1504C2×C22⋊C4—711no—
1505C2×C22⋊C4—711no—
1506C2×C22⋊C4—711no—
1507C2×C22⋊C4—711no—
1508C2×C22⋊C4—711no—
1509C2×C22⋊C4—711no—
1510C2×C22⋊C4—711no—
1511C2×C22⋊C4—711no—
1512C2×C22⋊C4—711no—
1513C2×C22⋊C4—711no—
1514C2×C22⋊C4—711no—
1515C2×C22⋊C4—711no—
1516C2×C22⋊C4—711no—
1517C2×C22⋊C4—711no—
1518C2×C22⋊C4—711no—
1519C2×C22⋊C4—718no—
1520C2×C22⋊C4—711no—
1521C2×C22⋊C4—711no—
1522C2×C22⋊C4—711no—
1523C2×C22⋊C4—711no—
1524C2×C22⋊C4—711no—
1525C2×C22⋊C4—711no—
1526C2×C22⋊C4—711no—
1527C2×C22⋊C4—711no—
1528C2×C22⋊C4—711no—
1529C2×C22⋊C4—711no—
1530C2×C22⋊C4—711no—
1531C2×C22⋊C4—711no—
1532C2×C22⋊C4—718no—
1533C2×C22⋊C4—718no—
1534C2×C22⋊C4—718no—
1535C2×C22⋊C4—718no—
1536C2×C22⋊C4C22×D7111yescharacteristic
1537C2×C22⋊C4C22×D7111yescharacteristic
1538C2×C22⋊C4C22×D7111yescharacteristic
1539C2×C22⋊C4C22×D7111yescharacteristic
1540C2×C22⋊C4C22×D7111yescharacteristic
1541C2×C22⋊C4C22×D7111yescharacteristic
1542C2×C22⋊C4C22×D7111yescharacteristic
1543C2×C22⋊C4C22×D7118yes—
1544C2×C22⋊C4C22×D7111yescharacteristic
1545C2×C22⋊C4C22×D7111yescharacteristic
1546C2×C22⋊C4C22×D7118yes—
1547C2×C22⋊C4C22×D7111yescharacteristic
1548C2×C22⋊C4C22×D7111yescharacteristic
1549C2×C22⋊C4C22×D7111yescharacteristic
1550C2×C22⋊C4C22×D7111yescharacteristic
1551C2×C22⋊C4C22×D7111yescharacteristic
1552C2×C42—711no—
1553C2×C42—711no—
1554C2×C42—711no—
1555C2×C42—711no—
1556C2×C42—711no—
1557C2×C42—711no—
1558C2×C42—711no—
1559C2×C42—711no—
1560C2×C42—711no—
1561C2×C42—711no—
1562C2×C42—711no—
1563C2×C42—718no—
1564C2×C42—718no—
1565C2×C42C22×D7111yescharacteristic
1566C2×C42C22×D7111yescharacteristic
1567C2×C42C22×D7111yescharacteristic
1568C24—24no—
1569C24—42no—
1570C24—42no—
1571C24—2842no—
1572C24—2842no—
1573C24—2842no—
1574C24—714no—
1575C24—714no—
1576C24—711no—
1577C24—711no—
1578C24—711no—
1579C24—711no—
1580C24—711no—
1581C24—1424no—
1582C24—1424no—
1583C24—1424no—
1584C24C23×D7111yescharacteristic
1585C24C23×D7111yescharacteristic
1586C24C23×D7111yescharacteristic
1587C24C23×D7111yescharacteristic
1588C24C23×D7114yes—
1589#41—28416no—
1590#41—28416no—
1591#41—28416no—
1592#41—28416no—
1593#41—14232no—
1594C2×Q8—42no—
1595C2×Q8—2842no—
1596C2×Q8—2842no—
1597C2×Q8—2842no—
1598C2×Q8—714no—
1599C2×Q8—714no—
1600C2×Q8—714no—
1601C2×Q8—714no—
1602C2×Q8—1424no—
1603C2×Q8C23×D7114yes—
1604C2×D4—24no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—2842no—
1608C2×D4—2842no—
1609C2×D4—2842no—
1610C2×D4—2842no—
1611C2×D4—2842no—
1612C2×D4—28416no—
1613C2×D4—28416no—
1614C2×D4—2842no—
1615C2×D4—2842no—
1616C2×D4—2842no—
1617C2×D4—2842no—
1618C2×D4—2842no—
1619C2×D4—2842no—
1620C2×D4—2842no—
1621C2×D4—714no—
1622C2×D4—714no—
1623C2×D4—714no—
1624C2×D4—714no—
1625C2×D4—714no—
1626C2×D4—714no—
1627C2×D4—714no—
1628C2×D4—714no—
1629C2×D4—714no—
1630C2×D4—714no—
1631C2×D4—714no—
1632C2×D4—714no—
1633C2×D4—714no—
1634C2×D4—714no—
1635C2×D4—714no—
1636C2×D4—714no—
1637C2×D4—714no—
1638C2×D4—714no—
1639C2×D4—714no—
1640C2×D4—714no—
1641C2×D4—714no—
1642C2×D4—714no—
1643C2×D4—714no—
1644C2×D4—714no—
1645C2×D4—1424no—
1646C2×D4—1424no—
1647C2×D4—1424no—
1648C2×D4—1424no—
1649C2×D4—1424no—
1650C2×D4—1424no—
1651C2×D4—1424no—
1652C2×D4—14232no—
1653C2×D4—1424no—
1654C2×D4—1424no—
1655C2×D4—1424no—
1656C2×D4—1424no—
1657C2×D4—1424no—
1658C2×D4C23×D7114yes—
1659C2×D4C23×D7114yes—
1660C2×D4C23×D7114yes—
1661C22×C4—24no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—2842no—
1667C22×C4—2842no—
1668C22×C4—2842no—
1669C22×C4—2842no—
1670C22×C4—2842no—
1671C22×C4—2842no—
1672C22×C4—2842no—
1673C22×C4—2842no—
1674C22×C4—2842no—
1675C22×C4—2842no—
1676C22×C4—2842no—
1677C22×C4—2842no—
1678C22×C4—714no—
1679C22×C4—714no—
1680C22×C4—714no—
1681C22×C4—714no—
1682C22×C4—714no—
1683C22×C4—714no—
1684C22×C4—714no—
1685C22×C4—714no—
1686C22×C4—714no—
1687C22×C4—714no—
1688C22×C4—714no—
1689C22×C4—714no—
1690C22×C4—718no—
1691C22×C4—714no—
1692C22×C4—711no—
1693C22×C4—711no—
1694C22×C4—714no—
1695C22×C4—711no—
1696C22×C4—711no—
1697C22×C4—711no—
1698C22×C4—711no—
1699C22×C4—711no—
1700C22×C4—711no—
1701C22×C4—711no—
1702C22×C4—711no—
1703C22×C4—711no—
1704C22×C4—714no—
1705C22×C4—714no—
1706C22×C4—714no—
1707C22×C4—714no—
1708C22×C4—714no—
1709C22×C4—714no—
1710C22×C4—714no—
1711C22×C4—1424no—
1712C22×C4—1424no—
1713C22×C4—1424no—
1714C22×C4—1424no—
1715C22×C4—14232no—
1716C22×C4—1424no—
1717C22×C4—1424no—
1718C22×C4—1424no—
1719C22×C4—1424no—
1720C22×C4C23×D7114yes—
1721C22×C4C23×D7111yescharacteristic
1722C22×C4C23×D7111yescharacteristic
1723C22×C4C23×D7111yescharacteristic
1724C22×C4C23×D7111yescharacteristic
1725C22×C4C23×D7111yescharacteristic
1726C22×C4C23×D7111yescharacteristic
1727C22×C4C23×D7111yescharacteristic
1728C22×C4C23×D7111yescharacteristic
1729C22×C4C23×D7111yescharacteristic
1730C22×C4C23×D7111yescharacteristic
1731C22×C4C23×D7111yescharacteristic
1732C22×C4C23×D7114yes—
1733C22×C4C23×D7114yes—
1734C22×C4C23×D7114yes—
1735C22×C4C23×D7114yes—
1736C4⋊C4—714no—
1737C4⋊C4—714no—
1738C4⋊C4—714no—
1739C4⋊C4—714no—
1740C4⋊C4—714no—
1741C4⋊C4—714no—
1742C4⋊C4—714no—
1743C4⋊C4—714no—
1744C4⋊C4—714no—
1745C4⋊C4—714no—
1746C4⋊C4—714no—
1747C4⋊C4—714no—
1748C4⋊C4—714no—
1749C4⋊C4—714no—
1750C4⋊C4—714no—
1751C4⋊C4—714no—
1752C4⋊C4—714no—
1753C4⋊C4—714no—
1754C4⋊C4—714no—
1755C4⋊C4—714no—
1756C4⋊C4—714no—
1757C4⋊C4—714no—
1758C4⋊C4—714no—
1759C4⋊C4—714no—
1760C4⋊C4—714no—
1761C4⋊C4—714no—
1762C4⋊C4C23×D7114yes—
1763C4⋊C4C23×D7114yes—
1764C4⋊C4C23×D7114yes—
1765C4⋊C4C23×D7114yes—
1766C4⋊C4C23×D7114yes—
1767C4⋊C4C23×D7114yes—
1768C4⋊C4C23×D7114yes—
1769C4⋊C4C23×D7114yes—
1770C22⋊C4—714no—
1771C22⋊C4—714no—
1772C22⋊C4—714no—
1773C22⋊C4—714no—
1774C22⋊C4—714no—
1775C22⋊C4—714no—
1776C22⋊C4—714no—
1777C22⋊C4—714no—
1778C22⋊C4—714no—
1779C22⋊C4—714no—
1780C22⋊C4—714no—
1781C22⋊C4—714no—
1782C22⋊C4—714no—
1783C22⋊C4—714no—
1784C22⋊C4—714no—
1785C22⋊C4—714no—
1786C22⋊C4—714no—
1787C22⋊C4—714no—
1788C22⋊C4—714no—
1789C22⋊C4—714no—
1790C22⋊C4—714no—
1791C22⋊C4—714no—
1792C22⋊C4—714no—
1793C22⋊C4—714no—
1794C22⋊C4—714no—
1795C22⋊C4—714no—
1796C22⋊C4—714no—
1797C22⋊C4—714no—
1798C22⋊C4—714no—
1799C22⋊C4—714no—
1800C22⋊C4—714no—
1801C22⋊C4—714no—
1802C22⋊C4C23×D7114yes—
1803C22⋊C4C23×D7114yes—
1804C22⋊C4C23×D7114yes—
1805C22⋊C4C23×D7114yes—
1806C22⋊C4C23×D7114yes—
1807C22⋊C4C23×D7114yes—
1808C22⋊C4C23×D7114yes—
1809C22⋊C4C23×D7114yes—
1810C22⋊C4C23×D7114yes—
1811C22⋊C4C23×D7114yes—
1812C22⋊C4C23×D7114yes—
1813C22⋊C4C23×D7114yes—
1814C22⋊C4C23×D7114yes—
1815C22⋊C4C23×D7114yes—
1816C42—714no—
1817C42—714no—
1818C42—714no—
1819C42—714no—
1820C42—714no—
1821C42—714no—
1822C42—714no—
1823C42—714no—
1824C42—714no—
1825C42—714no—
1826C42—714no—
1827C42C23×D7114yes—
1828C42C23×D7114yes—
1829C42C23×D7114yes—
1830C23—22no—
1831C23—22no—
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—28no—
1842C23—44no—
1843C23—44no—
1844C23—88no—
1845C23—28416no—
1846C23—2844no—
1847C23—2844no—
1848C23—2844no—
1849C23—5688no—
1850C23—714no—
1851C23—712no—
1852C23—712no—
1853C23—712no—
1854C23—712no—
1855C23—712no—
1856C23—1428no—
1857C23—1428no—
1858C23—1422no—
1859C23—1422no—
1860C23—1422no—
1861C23—1422no—
1862C23—1422no—
1863C23—1422no—
1864C23—1422no—
1865C23—1422no—
1866C23—1422no—
1867C23—1422no—
1868C23—1422no—
1869C23—1422no—
1870C23—1428no—
1871C23—1422no—
1872C23—1422no—
1873C23#41×D7114yes—
1874C23C24×D7112yes—
1875C23C24×D7112yes—
1876C23C24×D7112yes—
1877C23C24×D7112yes—
1878C23C24×D7111yescharacteristic
1879Q8—44no—
1880Q8—2844no—
1881Q8—2844no—
1882Q8—2844no—
1883Q8—1428no—
1884D4—28no—
1885D4—44no—
1886D4—44no—
1887D4—2844no—
1888D4—2844no—
1889D4—2844no—
1890D4—2844no—
1891D4—2844no—
1892D4—2844no—
1893D4—2844no—
1894D4—2844no—
1895D4—2844no—
1896D4—2844no—
1897D4—2844no—
1898D4—2844no—
1899D4—1428no—
1900D4—1428no—
1901D4—1428no—
1902D4—1428no—
1903D4—1428no—
1904D4—1428no—
1905D4—1428no—
1906D4—1428no—
1907D4—1428no—
1908D4—1428no—
1909D4—1428no—
1910D4—1428no—
1911C2×C4—28no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—44no—
1924C2×C4—44no—
1925C2×C4—44no—
1926C2×C4—44no—
1927C2×C4—2844no—
1928C2×C4—2844no—
1929C2×C4—2844no—
1930C2×C4—2844no—
1931C2×C4—2844no—
1932C2×C4—2844no—
1933C2×C4—2844no—
1934C2×C4—2844no—
1935C2×C4—2844no—
1936C2×C4—2844no—
1937C2×C4—2844no—
1938C2×C4—2844no—
1939C2×C4—714no—
1940C2×C4—714no—
1941C2×C4—7116no—
1942C2×C4—712no—
1943C2×C4—712no—
1944C2×C4—712no—
1945C2×C4—712no—
1946C2×C4—712no—
1947C2×C4—712no—
1948C2×C4—712no—
1949C2×C4—712no—
1950C2×C4—712no—
1951C2×C4—712no—
1952C2×C4—712no—
1953C2×C4—1428no—
1954C2×C4—1428no—
1955C2×C4—1428no—
1956C2×C4—1428no—
1957C2×C4—1428no—
1958C2×C4—1428no—
1959C2×C4—1428no—
1960C2×C4—1428no—
1961C2×C4—1422no—
1962C2×C4—1422no—
1963C2×C4—1422no—
1964C2×C4—1422no—
1965C2×C4—1422no—
1966C2×C4—1422no—
1967C2×C4—1422no—
1968C2×C4—1422no—
1969C2×C4—1422no—
1970C2×C4C24×D7112yes—
1971C2×C4C24×D7112yes—
1972C2×C4C24×D7112yes—
1973C2×C4C24×D7112yes—
1974C2×C4C24×D7112yes—
1975C2×C4C24×D7112yes—
1976C2×C4C24×D7112yes—
1977C2×C4C24×D7112yes—
1978C2×C4C24×D7112yes—
1979C2×C4C24×D7112yes—
1980C2×C4C24×D7112yes—
1981C22—28no—
1982C22—22no—
1983C22—22no—
1984C22—22no—
1985C22—22no—
1986C22—22no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—44no—
1994C22—44no—
1995C22—44no—
1996C22—88no—
1997C22—28416no—
1998C22—2844no—
1999C22—2844no—
2000C22—2844no—
2001C22—2844no—
2002C22—5688no—
2003C22—714no—
2004C22—1422no—
2005C22—1422no—
2006C22—1422no—
2007C22—1422no—
2008C22—1422no—
2009C22—1422no—
2010C22—1422no—
2011C22—1422no—
2012C22—1422no—
2013C22—1422no—
2014C22—1422no—
2015C22—1422no—
2016C22—1428no—
2017C22—1422no—
2018C22—1422no—
2019C22C2×#41×D7114yes—
2020C22C2×#41×D7112yes—
2021C22H(5,𝔽2)×D7112yes—
2022C22#1798683512yes—
2023C22C25×D7111yescharacteristic
2024C4—22no—
2025C4—22no—
2026C4—22no—
2027C4—22no—
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—22no—
2034C4—22no—
2035C4—714no—
2036C4—714no—
2037C4—1422no—
2038C4—1422no—
2039C4—1422no—
2040C4—1422no—
2041C4—1422no—
2042C4—1422no—
2043C4—1422no—
2044C4—1422no—
2045C4—1422no—
2046C2—24no—
2047C2—42no—
2048C2—42no—
2049C2—42no—
2050C2—2842no—
2051C2—2842no—
2052C2—2842no—
2053C2—2842no—
2054C2—1424no—
2055C2#2260206614yesdirect product factor
2056C2C22×#41×D7111yescharacteristic
2057C2C2×H(5,𝔽2)×D7111yescharacteristic
2058C2C2×#1798683511yescharacteristic
subgroupG/H
centerC23C24×D71
commutator, cosocleC22×C71C26
FrattiniC22C25×D71
FittingC2×#551×C71C2
socleC23×C71C25
hypercenterC2×#551D71
hypocenterC71C2×#3494
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #22602066C2direct (N × H)
2. C2×#17986712C2semidirect
3. C2×#17986711C2semidirect
4. C2×#17986700C2semidirect
5. C2×#17986700C2semidirect
6. C2×#17986698C2semidirect
7. C2×#17986694C2semidirect
8. C2×#17986675C2semidirect
9. C2×#17986673C2semidirect
10. C2×#17986672C2semidirect
11. C2×#17986651C2semidirect
12. C2×#17986647C2semidirect
13. C2×#17986645C2semidirect
14. C2×#17986640C2semidirect
15. C2×#17986639C2semidirect
16. C2×#17986636C2semidirect
17. C2×#17986628C2semidirect
18. C2×#17986619C2semidirect
19. C2×#17986615C2semidirect
20. C2×#17986601C2semidirect
21. C2×#17986601C2semidirect
22. C2×#17986564C2semidirect
23. C2×#17986548C2semidirect
24. C2×#17986546C2semidirect
25. C2×#17986532C2semidirect
26. C2×#17986527C2semidirect
27. C2×#17986507C2semidirect
28. C22×#14556101C2semidirect
29. C2×#17986478C2semidirect
30. C2×#17986472C2semidirect
31. C2×#117×D71C2semidirect
32. C2×#551×C71C2semidirect
33. C22×#11765866C22semidirect
34. C22×#11765865C22semidirect
35. C22×#11765865C22semidirect
37. C22×#11765864C22semidirect
42. #17986712C22semidirect
43. #17986711C22semidirect
44. #17986700C22semidirect
45. #17986700C22semidirect
46. #17986698C22semidirect
47. #17986694C22semidirect
48. #17986675C22semidirect
49. #17986673C22semidirect
50. #17986672C22semidirect
51. #17986651C22semidirect
52. #17986647C22semidirect
53. #17986645C22semidirect
54. #17986640C22semidirect
55. #17986639C22semidirect
56. #17986636C22semidirect
57. #17986628C22semidirect
58. #17986619C22semidirect
59. #17986615C22semidirect
60. #17986601C22semidirect
61. #17986601C22semidirect
62. #17986564C22semidirect
63. #17986548C22semidirect
64. #17986546C22semidirect
65. C2×#14556127C22semidirect
66. C2×#14556127C22semidirect
67. C2×#14556126C22semidirect
68. C2×#14556126C22semidirect
69. C2×#14556124C22semidirect
70. C2×#14556124C22semidirect
71. #17986532C22semidirect
72. #17986527C22semidirect
73. C2×#14556123C22semidirect
74. C2×#14556123C22semidirect
75. C2×#14556123C22semidirect
76. C2×#14556122C22semidirect
77. C2×#14556121C22semidirect
78. C2×#14556121C22semidirect
79. C2×#14556118C22semidirect
80. C2×#14556118C22semidirect
81. C2×#14556118C22semidirect
82. C2×#14556118C22semidirect
83. C2×#14556117C22semidirect
84. C2×#14556116C22semidirect
85. C2×#14556116C22semidirect
86. C2×#14556114C22semidirect
87. C2×#14556114C22semidirect
88. C2×#14556114C22semidirect
89. C2×#14556114C22semidirect
90. C2×#14556114C22semidirect
91. C2×#14556114C22semidirect
92. #17986507C22semidirect
93. C2×#14556113C22semidirect
94. C2×#14556113C22semidirect
95. C2×#14556113C22semidirect
96. C2×#14556113C22semidirect
97. C2×#14556113C22semidirect
98. C2×#14556113C22semidirect
99. C2×#14556112C22semidirect
100. C2×#14556112C22semidirect
101. C2×#14556112C22semidirect
103. C2×#14556111C22semidirect
104. C2×#14556110C22semidirect
105. C2×#14556110C22semidirect
106. C2×#14556110C22semidirect
107. C2×#14556110C22semidirect
108. C2×#14556108C22semidirect
110. C2×#14556106C22semidirect
111. C2×#14556106C22semidirect
112. C2×#14556106C22semidirect
115. C2×#14556105C22semidirect
116. C2×#14556103C22semidirect
117. C2×#14556103C22semidirect
118. C2×#14556103C22semidirect
119. C2×#14556102C22semidirect
120. C2×#14556102C22semidirect
129. C2×#14556101C22semidirect
130. C2×#14556101C22semidirect
131. C2×#14556101C22semidirect
132. C2×#14556101C22semidirect
133. C2×#14556101C22semidirect
134. C2×#14556101C22semidirect
135. C2×#14556101C22semidirect
136. C2×#14556101C22semidirect
137. C2×#14556101C22semidirect
138. C2×#14556100C22semidirect
139. C2×#14556100C22semidirect
140. C2×#14556100C22semidirect
141. C2×#14556100C22semidirect
142. C2×#14556099C22semidirect
148. #17986478C22semidirect
149. #17986472C22semidirect
150. C2×C4×Dic142C22semidirect
151. C2×#14556093C22semidirect
152. C2×C4×D284C22semidirect
153. C2×C4×D284C22semidirect
155. C2×#14556090C22semidirect
156. C2×#14556090C22semidirect
157. C2×#14556090C22semidirect
159. C2×C4×C22⋊D71C22semidirect
160. C2×C4×C22⋊D71C22semidirect
161. C2×C4×C22⋊D71C22semidirect
162. C2×C4×C22⋊D71C22semidirect
163. C2×C4×C22⋊D71C22semidirect
164. C2×C4×C22⋊D71C22semidirect
166. C2×(C22⋊D71)⋊C4C22semidirect
167. C2×(C22⋊D71)⋊C4C22semidirect
168. C2×(C22⋊D71)⋊C4C22semidirect
169. C2×(C22⋊D71)⋊C4C22semidirect
170. C2×(C22⋊D71)⋊C4C22semidirect
171. C2×(C22⋊D71)⋊C4C22semidirect
172. C2×(C22⋊D71)⋊C4C22semidirect
173. C2×(C22⋊D71)⋊C4C22semidirect
174. C2×(C22⋊D71)⋊C4C22semidirect
175. C2×(C22⋊D71)⋊C4C22semidirect
177. C2×#14556086C22semidirect
178. C2×#14556086C22semidirect
179. C2×#14556086C22semidirect
180. C2×#14556085C22semidirect
181. C2×#14556085C22semidirect
182. C2×#14556085C22semidirect
183. C2×#14556085C22semidirect
187. C2×#14556084C22semidirect
188. C2×#14556084C22semidirect
189. #117×D71C22semidirect
191. C22×Dic71⋊C4C22semidirect
192. C2×C4⋊C4×D71C22semidirect
193. C2×C4⋊C4×D71C22semidirect
194. C2×C4⋊C4×D71C22semidirect
201. C2×C42×D71C22semidirect
202. C2×C42×D71C22semidirect
203. #551×C71C22semidirect
204. C2×#126×C71C22semidirect
205. C2×#126×C71C22semidirect
206. C2×#124×C71C22semidirect
208. C2×#123×C71C22semidirect
209. C2×#123×C71C22semidirect
211. C2×C22⋊Q8×C71C22semidirect
214. C2×C4×D4×C71C22semidirect
216. C2×#117×C71C22semidirect
222. C2×#11765866C23semidirect
225. C2×#11765865C23semidirect
226. C2×#11765865C23semidirect
230. C2×#11765864C23semidirect
288. #14556127C23semidirect
289. #14556127C23semidirect
290. #14556126C23semidirect
291. #14556126C23semidirect
292. #14556124C23semidirect
293. #14556124C23semidirect
294. #14556123C23semidirect
295. #14556123C23semidirect
296. #14556123C23semidirect
297. #14556122C23semidirect
298. #14556121C23semidirect
299. #14556121C23semidirect
300. #14556118C23semidirect
301. #14556118C23semidirect
302. #14556118C23semidirect
303. #14556118C23semidirect
304. #14556117C23semidirect
305. #14556116C23semidirect
306. #14556116C23semidirect
307. #14556114C23semidirect
308. #14556114C23semidirect
309. #14556114C23semidirect
310. #14556114C23semidirect
311. #14556114C23semidirect
312. #14556114C23semidirect
313. #14556113C23semidirect
314. #14556113C23semidirect
315. #14556113C23semidirect
316. #14556113C23semidirect
317. #14556113C23semidirect
318. #14556113C23semidirect
319. #14556112C23semidirect
320. #14556112C23semidirect
321. #14556112C23semidirect
323. #14556111C23semidirect
324. #14556110C23semidirect
325. #14556110C23semidirect
326. #14556110C23semidirect
327. #14556110C23semidirect
328. #14556108C23semidirect
330. #14556106C23semidirect
331. #14556106C23semidirect
332. #14556106C23semidirect
335. #14556105C23semidirect
336. #14556103C23semidirect
337. #14556103C23semidirect
338. #14556103C23semidirect
339. #14556102C23semidirect
340. #14556102C23semidirect
349. #14556101C23semidirect
350. #14556101C23semidirect
351. #14556101C23semidirect
352. #14556101C23semidirect
353. #14556101C23semidirect
354. #14556101C23semidirect
355. #14556101C23semidirect
356. #14556101C23semidirect
357. #14556100C23semidirect
358. #14556100C23semidirect
359. #14556100C23semidirect
360. #14556100C23semidirect
361. #14556099C23semidirect
367. C4×Dic142C23semidirect
368. #14556093C23semidirect
369. C4×D284C23semidirect
370. C4×D284C23semidirect
372. #14556090C23semidirect
373. #14556090C23semidirect
374. #14556090C23semidirect
376. C4×C22⋊D71C23semidirect
377. C4×C22⋊D71C23semidirect
378. C4×C22⋊D71C23semidirect
379. C4×C22⋊D71C23semidirect
380. C4×C22⋊D71C23semidirect
381. C4×C22⋊D71C23semidirect
383. (C22⋊D71)⋊C4C23semidirect
384. (C22⋊D71)⋊C4C23semidirect
385. (C22⋊D71)⋊C4C23semidirect
386. (C22⋊D71)⋊C4C23semidirect
387. (C22⋊D71)⋊C4C23semidirect
388. (C22⋊D71)⋊C4C23semidirect
389. (C22⋊D71)⋊C4C23semidirect
390. (C22⋊D71)⋊C4C23semidirect
391. (C22⋊D71)⋊C4C23semidirect
392. (C22⋊D71)⋊C4C23semidirect
394. #14556086C23semidirect
395. #14556086C23semidirect
396. #14556086C23semidirect
397. #14556085C23semidirect
398. #14556085C23semidirect
399. #14556085C23semidirect
400. #14556085C23semidirect
404. #14556084C23semidirect
405. #14556084C23semidirect
433. C2×Dic71⋊C4C23semidirect
434. C4⋊C4×D71C23semidirect
435. C4⋊C4×D71C23semidirect
436. C4⋊C4×D71C23semidirect
486. C42×D71C23semidirect
487. C42×D71C23semidirect
498. #126×C71C23semidirect
499. #126×C71C23semidirect
500. #124×C71C23semidirect
502. #123×C71C23semidirect
503. #123×C71C23semidirect
505. C22⋊Q8×C71C23semidirect
508. C4×D4×C71C23semidirect
510. #117×C71C23semidirect
620. C22×Dic71#41semidirect
912. C2×Dic71C2×#41semidirect
1021. C2×C71#3494semidirect
1040. C2×#551D71semidirect
1062. C71C2×#3494semidirect
1081. #551C2×D71semidirect
1110. C2×#126C2×D71semidirect
1111. C2×#126C2×D71semidirect
1125. C2×#124C2×D71semidirect
1143. C2×#123C2×D71semidirect
1144. C2×#123C2×D71semidirect
1154. C2×C22⋊Q8C2×D71semidirect
1217. C2×C4×D4C2×D71semidirect
1233. C2×#117C2×D71semidirect
1340. #126C22×D71semidirect
1341. #126C22×D71semidirect
1355. #124C22×D71semidirect
1372. #123C22×D71semidirect
1373. #123C22×D71semidirect
1383. C22⋊Q8C22×D71semidirect
1443. C4×D4C22×D71semidirect
1458. #117C22×D71semidirect
2055. C2#22602066direct (N × H)

Maximal subgroups

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

subgroupindex
#226020662
C2×#179867122
C2×#179867112
C2×#179867002
C2×#179866982
C2×#179866942
C2×#179866752
C2×#179866732
C2×#179866722
C2×#179866512
C2×#179866472
C2×#179866452
C2×#179866402
C2×#179866392
C2×#179866362
C2×#179866282
C2×#179866192
C2×#179866152
C2×#179866012
C2×#179865642
C2×#179865482
C2×#179865462
C2×#179865322
C2×#179865272
C2×#179865072
C22×#145561012
C2×#179864782
C2×#179864722
C2×#117×D712
C2×#551×C712
C2×#349471