Finite Group Databasebeta

← C2×#22602062 #32905786

Subgroups — C2×#22602062 #32905786

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#22602062C2132yesmaximal, direct product factor
2C2×#17986713C211yesmaximal, characteristic, complemented
3C2×#17986711C211yesmaximal, characteristic, complemented
4C2×#17986698C211yesmaximal, characteristic, complemented
5C2×#17986694C211yesmaximal, characteristic, complemented
6C2×#17986692C211yesmaximal, characteristic, complemented
7C2×#17986692C211yesmaximal, characteristic, complemented
8C2×#17986680C211yesmaximal, characteristic, complemented
9C2×#17986678C211yesmaximal, characteristic, complemented
10C2×#17986676C211yesmaximal, characteristic, complemented
11C2×#17986675C211yesmaximal, characteristic, complemented
12C2×#17986648C211yesmaximal, characteristic, complemented
13C2×#17986647C211yesmaximal, characteristic, complemented
14C2×#17986643C211yesmaximal, characteristic, complemented
15C2×#17986639C211yesmaximal, characteristic, complemented
16C2×#17986636C211yesmaximal, characteristic, complemented
17C2×#17986628C211yesmaximal, characteristic, complemented
18C2×#17986617C211yesmaximal, characteristic, complemented
19C2×#17986613C211yesmaximal, characteristic, complemented
20C2×#17986599C211yesmaximal, characteristic, complemented
21C2×#17986599C211yesmaximal, characteristic, complemented
22C2×#17986564C211yesmaximal, characteristic, complemented
23C2×#17986545C211yesmaximal, characteristic, complemented
24C2×#17986544C211yesmaximal, characteristic, complemented
25C2×#17986529C211yesmaximal, characteristic, complemented
26C2×#17986526C211yesmaximal, characteristic, complemented
27C2×#17986505C211yesmaximal, characteristic, complemented
28C22×#14556100C211yesmaximal, characteristic, complemented
29C2×#17986478C211yesmaximal, characteristic, complemented
30C2×#17986472C211yesmaximal, characteristic, complemented
31C22×#14556084C211yesmaximal, characteristic, complemented
32C2×#546×C71C211yesmaximal, characteristic, complemented
33C22×#11765865C2211yescharacteristic, complemented
34C22×#11765864C2211yescharacteristic
35C22×#11765864C2211yescharacteristic, complemented
36C22×#11765864C2211yescharacteristic, complemented
37C23×C22⋊D71C2211yescharacteristic
38C23×C22⋊D71C2211yescharacteristic
39C24×Dic71C2211yescharacteristic
40#17986713C22116yescomplemented
41#17986711C22116yescomplemented
42#17986698C22116yescomplemented
43#17986694C22116yescomplemented
44#17986692C22116yescomplemented
45#17986692C22116yescomplemented
46#17986680C22116yescomplemented
47#17986678C22116yescomplemented
48#17986676C22116yescomplemented
49#17986675C22116yescomplemented
50#17986648C22116yescomplemented
51#17986647C22116yescomplemented
52#17986643C22116yescomplemented
53#17986639C22116yescomplemented
54#17986636C22116yescomplemented
55#17986628C22116yescomplemented
56#17986617C22116yescomplemented
57#17986613C22116yescomplemented
58#17986599C22116yescomplemented
59#17986599C22116yescomplemented
60#17986564C22116yescomplemented
61#17986545C22116yescomplemented
62#17986544C22116yescomplemented
63C2×#14556127C2211yescharacteristic, complemented
64C2×#14556127C2211yescharacteristic, complemented
65C2×#14556126C2211yescharacteristic, complemented
66C2×#14556126C2211yescharacteristic, complemented
67C2×#14556124C2211yescharacteristic, complemented
68C2×#14556124C2211yescharacteristic, complemented
69#17986529C22116yescomplemented
70#17986526C22116yescomplemented
71C2×#14556123C2211yescharacteristic, complemented
72C2×#14556123C2211yescharacteristic, complemented
73C2×#14556123C2211yescharacteristic, complemented
74C2×#14556122C2211yescharacteristic, complemented
75C2×#14556121C2211yescharacteristic, complemented
76C2×#14556121C2211yescharacteristic, complemented
77C2×#14556121C2211yescharacteristic, complemented
78C2×#14556121C2211yescharacteristic, complemented
79C2×#14556118C2211yescharacteristic, complemented
80C2×#14556118C2211yescharacteristic, complemented
81C2×#14556118C2211yescharacteristic, complemented
82C2×#14556118C2211yescharacteristic, complemented
83C2×#14556117C2211yescharacteristic, complemented
84C2×#14556115C2211yescharacteristic, complemented
85C2×#14556115C2211yescharacteristic, complemented
86C2×#14556114C2211yescharacteristic, complemented
87C2×#14556114C2211yescharacteristic, complemented
88C2×#14556114C2211yescharacteristic, complemented
89C2×#14556114C2211yescharacteristic, complemented
90C2×#14556114C2211yescharacteristic, complemented
91C2×#14556114C2211yescharacteristic, complemented
92#17986505C22116yescomplemented
93C2×#14556113C2211yescharacteristic, complemented
94C2×#14556113C2211yescharacteristic, complemented
95C2×#14556112C2211yescharacteristic
96C2×#14556112C2211yescharacteristic, complemented
97C2×#14556111C2211yescharacteristic, complemented
98C2×#14556111C2211yescharacteristic, complemented
99C2×#14556111C2211yescharacteristic, complemented
100C2×#14556110C2211yescharacteristic, complemented
101C2×#14556110C2211yescharacteristic, complemented
102C2×#14556110C2211yescharacteristic, complemented
103C2×#14556110C2211yescharacteristic, complemented
104C2×#14556109C2211yescharacteristic
105C2×#14556109C2211yescharacteristic, complemented
106C2×#14556109C2211yescharacteristic, complemented
107C2×#14556109C2211yescharacteristic, complemented
108C2×#14556109C2211yescharacteristic, complemented
109C2×#14556107C2211yescharacteristic
110C2×#14556107C2211yescharacteristic, complemented
111C2×#14556106C2211yescharacteristic, complemented
112C2×#14556105C2211yescharacteristic
113C2×#14556105C2211yescharacteristic
114C2×#14556105C2211yescharacteristic, complemented
115C2×#14556105C2211yescharacteristic, complemented
116C2×#14556105C2211yescharacteristic, complemented
117C2×#14556104C2211yescharacteristic, complemented
118C2×#14556102C2211yescharacteristic, complemented
119C2×#14556101C2211yescharacteristic, complemented
120C2×#14556101C2211yescharacteristic, complemented
121C2×#14556101C2211yescharacteristic, complemented
122C2×#14556101C2211yescharacteristic, complemented
123C2×#14556100C2211yescharacteristic
124C2×#14556100C2211yescharacteristic
125C2×#14556100C2211yescharacteristic
126C2×#14556100C2211yescharacteristic
127C2×#14556100C2211yescharacteristic
128C2×#14556100C2211yescharacteristic
129C2×#14556100C2211yescharacteristic
130C2×#14556100C2211yescharacteristic
131C2×#14556100C22116yescomplemented
132C2×#14556100C2211yescharacteristic, complemented
133C2×#14556100C2211yescharacteristic, complemented
134C2×#14556100C2211yescharacteristic, complemented
135C2×#14556100C2211yescharacteristic, complemented
136C2×#14556100C2211yescharacteristic, complemented
137C2×#14556100C2211yescharacteristic, complemented
138C2×#14556100C2211yescharacteristic, complemented
139C2×#14556100C2211yescharacteristic, complemented
140C2×#14556099C2211yescharacteristic, complemented
141C2×#14556099C2211yescharacteristic, complemented
142C2×#14556098C2211yescharacteristic
143C2×#14556097C2211yescharacteristic
144C2×#14556097C2211yescharacteristic
145C2×#14556096C2211yescharacteristic
146#17986478C22116yescomplemented
147#17986472C22116yescomplemented
148C2×C4×Dic142C2211yescharacteristic, complemented
149C2×#14556093C2211yescharacteristic, complemented
150C2×D4×Dic71C2211yescharacteristic
151C2×D4×Dic71C2211yescharacteristic, complemented
152C2×D4×Dic71C2211yescharacteristic, complemented
153C2×D4×Dic71C2211yescharacteristic, complemented
154C2×D4×Dic71C2211yescharacteristic, complemented
155C2×#14556090C2211yescharacteristic, complemented
156C2×C4×C22⋊D71C2211yescharacteristic
157C2×C4×C22⋊D71C2211yescharacteristic, complemented
158C2×C4×C22⋊D71C2211yescharacteristic, complemented
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×#14556087C2211yescharacteristic, complemented
175C2×#14556086C2211yescharacteristic, complemented
176C2×#14556085C2211yescharacteristic, complemented
177C2×#14556085C2211yescharacteristic, complemented
178C2×#14556084C2211yescharacteristic
179C2×#14556084C2211yescharacteristic
180C2×#14556084C2211yescharacteristic
181C2×#14556084C2211yescharacteristic
182C2×#14556084C2211yescharacteristic
183C2×#14556084C2211yescharacteristic, complemented
184C2×#14556084C2211yescharacteristic, complemented
185C2×#14556084C2211yescharacteristic, complemented
186C2×#14556084C2211yescharacteristic, complemented
187C2×#14556084C2211yescharacteristic, complemented
188C2×#14556084C2211yescharacteristic, complemented
189C2×#14556084C22116yescomplemented
190C22×Dic71⋊C4C2211yescharacteristic
191C22×Dic71⋊C4C2211yescharacteristic, complemented
192C22×Dic71⋊C4C2211yescharacteristic, complemented
193C22×Dic71⋊C4C2211yescharacteristic, complemented
194C2×C4⋊C4×D71C2211yescharacteristic, complemented
195C22×C22⋊Dic71C2211yescharacteristic
196C22×C22⋊Dic71C2211yescharacteristic
197C22×C22⋊Dic71C2211yescharacteristic
198C22×(C2×D71)⋊C4C2211yescharacteristic
199C2×C22⋊C4×D71C2211yescharacteristic
200C2×C22⋊C4×D71C2211yescharacteristic
201C22×C4×Dic71C2211yescharacteristic, complemented
202C22×C4×Dic71C2211yescharacteristic, complemented
203C22×#41×C71C2211yescharacteristic, complemented
204C23×D4×C71C2211yescharacteristic
205#546×C71C22116yescomplemented
206C2×#124×C71C2211yescharacteristic, complemented
207C2×#123×C71C2211yescharacteristic, complemented
208C2×#123×C71C2211yescharacteristic, complemented
209C2×C22⋊Q8×C71C2211yescharacteristic
210C2×#121×C71C2211yescharacteristic, complemented
211C2×#121×C71C2211yescharacteristic, complemented
212C2×#121×C71C2211yescharacteristic, complemented
213C2×#120×C71C2211yescharacteristic
214C2×#120×C71C2211yescharacteristic
215C2×C4×D4×C71C2211yescharacteristic
216C2×C4×D4×C71C2211yescharacteristic, complemented
217C22×C22⋊C4×C71C2211yescharacteristic
218C22×C22⋊C4×C71C2211yescharacteristic
219C24×D71C2311yescharacteristic
220C2×#11765865—44no—
221C2×#11765865C2318yescomplemented
222C2×#11765864—28no—
223C2×#11765864—44no—
224C2×#11765864—44no—
225C2×#11765864C2318yes—
226C2×#11765864C2318yescomplemented
227C2×#11765864C2318yescomplemented
228C22×Dic142C2311yescharacteristic
229C22×Dic142C2311yescharacteristic
230C22×Dic142C2311yescharacteristic
231C22×Dic142C2311yescharacteristic
232C22×D284C2311yescharacteristic
233C22×D284C2311yescharacteristic
234C22×C22⋊D71—28no—
235C22×C22⋊D71—44no—
236C22×C22⋊D71C2318yes—
237C22×C22⋊D71C2311yescharacteristic
238C22×C22⋊D71C2311yescharacteristic
239C22×C22⋊D71C2311yescharacteristic
240C22×C22⋊D71C2311yescharacteristic
241C22×C22⋊D71C2311yescharacteristic
242C22×C22⋊D71C2311yescharacteristic
243C22×C22⋊D71C2311yescharacteristic
244C22×C22⋊D71C2311yescharacteristic
245C22×C22⋊D71C2311yescharacteristic
246C22×C22⋊D71C2318yes—
247C22×C22⋊D71C2311yescharacteristic
248C22×C22⋊D71C2311yescharacteristic
249C22×C22⋊D71C2311yescharacteristic
250C22×C22⋊D71C2311yescharacteristic
251C22×C22⋊D71C2311yescharacteristic
252C22×C22⋊D71C2311yescharacteristic
253C22×C22⋊D71C2311yescharacteristic
254C23×Dic71—28no—
255C23×Dic71C2311yescharacteristic
256C23×Dic71C2311yescharacteristic
257C23×Dic71C2311yescharacteristic
258C23×Dic71C2311yescharacteristic
259C23×Dic71C2311yescharacteristic
260C23×Dic71C2318yes—
261C23×Dic71C2311yescharacteristic
262C23×Dic71C2311yescharacteristic
263C23×Dic71C2311yescharacteristic
264C23×Dic71C2311yescharacteristic
265C23×Dic71C2311yescharacteristic
266C23×Dic71C2311yescharacteristic
267C23×Dic71C2311yescharacteristic
268C23×Dic71C2311yescharacteristic
269C22×C4×D71C2311yescharacteristic
270C22×C4×D71C2311yescharacteristic
271C22×C4×D71C2311yescharacteristic
272C22×C4×D71C2311yescharacteristic
273C22×C4×D71C2311yescharacteristic
274C22×C4×D71C2311yescharacteristic
275C22×C4×D71C2311yescharacteristic
276#14556127C2318yescomplemented
277#14556127C2318yescomplemented
278#14556126C2318yescomplemented
279#14556126C2318yescomplemented
280#14556124C2318yescomplemented
281#14556124C2318yescomplemented
282#14556123C2318yescomplemented
283#14556123C2318yescomplemented
284#14556123C2318yescomplemented
285#14556122C2318yescomplemented
286#14556121C2318yescomplemented
287#14556121C2318yescomplemented
288#14556121C2318yescomplemented
289#14556121C2318yescomplemented
290#14556118C2318yescomplemented
291#14556118C2318yescomplemented
292#14556118C2318yescomplemented
293#14556118C2318yescomplemented
294#14556117C2318yescomplemented
295#14556115C2318yescomplemented
296#14556115C2318yescomplemented
297#14556114C2318yescomplemented
298#14556114C2318yescomplemented
299#14556114C2318yescomplemented
300#14556114C2318yescomplemented
301#14556114C2318yescomplemented
302#14556114C2318yescomplemented
303#14556113C2318yescomplemented
304#14556113C2318yescomplemented
305#14556112C2318yes—
306#14556112C2318yescomplemented
307#14556111C2318yescomplemented
308#14556111C2318yescomplemented
309#14556111C2318yescomplemented
310#14556110C2318yescomplemented
311#14556110C2318yescomplemented
312#14556110C2318yescomplemented
313#14556110C2318yescomplemented
314#14556109C2318yes—
315#14556109C2318yescomplemented
316#14556109C2318yescomplemented
317#14556109C2318yescomplemented
318#14556109C2318yescomplemented
319#14556107C2318yes—
320#14556107C2318yescomplemented
321#14556106C2318yescomplemented
322#14556105C2318yes—
323#14556105C2318yes—
324#14556105C2318yescomplemented
325#14556105C2318yescomplemented
326#14556105C2318yescomplemented
327#14556104C2318yescomplemented
328#14556102C2318yescomplemented
329#14556101C2318yescomplemented
330#14556101C2318yescomplemented
331#14556101C2318yescomplemented
332#14556101C2318yescomplemented
333#14556100C2318yes—
334#14556100C2318yes—
335#14556100C2318yes—
336#14556100C2318yes—
337#14556100C2318yes—
338#14556100C2318yes—
339#14556100C2318yes—
340#14556100C2318yes—
341#14556100C2318yescomplemented
342#14556100C2318yescomplemented
343#14556100C2318yescomplemented
344#14556100C2318yescomplemented
345#14556100C2318yescomplemented
346#14556100C2318yescomplemented
347#14556100C2318yescomplemented
348#14556100C2318yescomplemented
349#14556099C2318yescomplemented
350#14556099C2318yescomplemented
351#14556098C2318yes—
352#14556097C2318yes—
353#14556097C2318yes—
354#14556096C2318yes—
355C4×Dic142C2318yescomplemented
356#14556093C2318yescomplemented
357D4×Dic71C2318yes—
358D4×Dic71C2318yescomplemented
359D4×Dic71C2318yescomplemented
360D4×Dic71C2318yescomplemented
361D4×Dic71C2318yescomplemented
362#14556090C2318yescomplemented
363C4×C22⋊D71C2318yes—
364C4×C22⋊D71C2318yescomplemented
365C4×C22⋊D71C2318yescomplemented
366C4×C22⋊D71C2318yescomplemented
367C4×C22⋊D71C2318yescomplemented
368C4×C22⋊D71C2318yescomplemented
369C4×C22⋊D71C2318yescomplemented
370C4×C22⋊D71C2318yescomplemented
371C4×C22⋊D71C2318yescomplemented
372(C22⋊D71)⋊C4C2318yes—
373(C22⋊D71)⋊C4C2318yescomplemented
374(C22⋊D71)⋊C4C2318yescomplemented
375(C22⋊D71)⋊C4C2318yescomplemented
376(C22⋊D71)⋊C4C2318yescomplemented
377(C22⋊D71)⋊C4C2318yescomplemented
378(C22⋊D71)⋊C4C2318yescomplemented
379(C22⋊D71)⋊C4C2318yescomplemented
380(C22⋊D71)⋊C4C2318yescomplemented
381#14556087C2318yescomplemented
382#14556086C2318yescomplemented
383#14556085C2318yescomplemented
384#14556085C2318yescomplemented
385#14556084C2318yes—
386#14556084C2318yes—
387#14556084C2318yes—
388#14556084C2318yes—
389#14556084C2318yes—
390#14556084C2318yescomplemented
391#14556084C2318yescomplemented
392#14556084C2318yescomplemented
393#14556084C2318yescomplemented
394#14556084C2318yescomplemented
395#14556084C2318yescomplemented
396C2×C4⋊Dic71C2311yescharacteristic
397C2×C4⋊Dic71C2311yescharacteristic
398C2×C4⋊Dic71C2311yescharacteristic
399C2×C4⋊Dic71C2311yescharacteristic
400C2×C4⋊Dic71C2311yescharacteristic
401C2×C4⋊Dic71C2311yescharacteristic
402C2×Dic71⋊C4C2318yes—
403C2×Dic71⋊C4C2311yescharacteristic
404C2×Dic71⋊C4C2311yescharacteristic
405C2×Dic71⋊C4C2311yescharacteristic
406C2×Dic71⋊C4C2311yescharacteristic
407C2×Dic71⋊C4C2311yescharacteristic
408C2×Dic71⋊C4C2311yescharacteristic
409C2×Dic71⋊C4C2311yescharacteristic
410C2×Dic71⋊C4C2311yescharacteristic
411C2×Dic71⋊C4C2311yescharacteristic
412C2×Dic71⋊C4C2311yescharacteristic
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⋊C4C2318yescomplemented
428C2×Dic71⋊C4C2318yescomplemented
429C2×Dic71⋊C4C2318yescomplemented
430C4⋊C4×D71C2318yescomplemented
431C2×C22⋊Dic71C2318yes—
432C2×C22⋊Dic71C2318yes—
433C2×C22⋊Dic71C2318yes—
434C2×C22⋊Dic71C2311yescharacteristic
435C2×C22⋊Dic71C2311yescharacteristic
436C2×C22⋊Dic71C2311yescharacteristic
437C2×C22⋊Dic71C2311yescharacteristic
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×C22⋊Dic71C2311yescharacteristic
447C2×C22⋊Dic71C2311yescharacteristic
448C2×C22⋊Dic71C2311yescharacteristic
449C2×C22⋊Dic71C2311yescharacteristic
450C2×C22⋊Dic71C2311yescharacteristic
451C2×C22⋊Dic71C2311yescharacteristic
452C2×(C2×D71)⋊C4C2318yes—
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
469C22⋊C4×D71C2318yes—
470C22⋊C4×D71C2318yes—
471C2×C4×Dic71C2311yescharacteristic
472C2×C4×Dic71C2311yescharacteristic
473C2×C4×Dic71C2311yescharacteristic
474C2×C4×Dic71C2311yescharacteristic
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×Dic71C2318yescomplemented
485C2×C4×Dic71C2318yescomplemented
486C25×C71C2311yescharacteristic
487C25×C71C2311yescharacteristic
488C2×#41×C71—44no—
489C2×#41×C71C2318yescomplemented
490C22×Q8×C71C2311yescharacteristic
491C22×D4×C71—44no—
492C22×D4×C71C2311yescharacteristic
493C22×D4×C71C2311yescharacteristic
494C22×D4×C71C2311yescharacteristic
495C22×D4×C71C2311yescharacteristic
496C22×D4×C71C2318yes—
497C22×D4×C71C2311yescharacteristic
498C22×D4×C71C2311yescharacteristic
499C22×D4×C71C2311yescharacteristic
500C22×D4×C71C2311yescharacteristic
501C22×D4×C71C2311yescharacteristic
502C23×C4×C71C2311yescharacteristic
503C23×C4×C71C2311yescharacteristic
504C23×C4×C71C2311yescharacteristic
505C23×C4×C71C2311yescharacteristic
506C23×C4×C71C2311yescharacteristic
507C23×C4×C71C2311yescharacteristic
508#124×C71C2318yescomplemented
509#123×C71C2318yescomplemented
510#123×C71C2318yescomplemented
511C22⋊Q8×C71C2318yes—
512#121×C71C2318yescomplemented
513#121×C71C2318yescomplemented
514#121×C71C2318yescomplemented
515#120×C71C2318yes—
516#120×C71C2318yes—
517C4×D4×C71C2318yes—
518C4×D4×C71C2318yescomplemented
519C2×C4⋊C4×C71C2311yescharacteristic
520C2×C4⋊C4×C71C2311yescharacteristic
521C2×C4⋊C4×C71C2311yescharacteristic
522C2×C4⋊C4×C71C2311yescharacteristic
523C2×C22⋊C4×C71C2318yes—
524C2×C22⋊C4×C71C2311yescharacteristic
525C2×C22⋊C4×C71C2318yes—
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×C22⋊C4×C71C2311yescharacteristic
536C2×C22⋊C4×C71C2311yescharacteristic
537C2×C42×C71C2311yescharacteristic
538C23×D71—24no—
539C23×D71—42no—
540C23×D71—42no—
541C23×D71C2411yescharacteristic
542C23×D71C2411yescharacteristic
543C23×D71C2411yescharacteristic
544C23×D71C2414yes—
545#11765865—416no—
546#11765864—232no—
547#11765864—416no—
548#11765864—416no—
549C2×Dic142—24no—
550C2×Dic142—42no—
551C2×Dic142—42no—
552C2×Dic142—42no—
553C2×Dic142C2414yes—
554C2×Dic142C2414yes—
555C2×Dic142C2414yes—
556C2×Dic142C2414yes—
557C2×D284—42no—
558C2×D284—42no—
559C2×D284C2414yes—
560C2×D284C2414yes—
561C2×C22⋊D71—24no—
562C2×C22⋊D71—24no—
563C2×C22⋊D71—24no—
564C2×C22⋊D71—24no—
565C2×C22⋊D71—24no—
566C2×C22⋊D71—24no—
567C2×C22⋊D71—24no—
568C2×C22⋊D71—24no—
569C2×C22⋊D71—24no—
570C2×C22⋊D71—232no—
571C2×C22⋊D71—42no—
572C2×C22⋊D71—42no—
573C2×C22⋊D71—42no—
574C2×C22⋊D71—42no—
575C2×C22⋊D71—42no—
576C2×C22⋊D71—42no—
577C2×C22⋊D71—42no—
578C2×C22⋊D71—416no—
579C2×C22⋊D71C2414yes—
580C2×C22⋊D71C2414yes—
581C2×C22⋊D71C2414yes—
582C2×C22⋊D71C2414yes—
583C2×C22⋊D71C2414yes—
584C2×C22⋊D71C2414yes—
585C2×C22⋊D71C2414yes—
586C2×C22⋊D71C2414yes—
587C2×C22⋊D71C2414yes—
588C2×C22⋊D71C2414yes—
589C2×C22⋊D71C2414yes—
590C2×C22⋊D71C2414yes—
591C2×C22⋊D71C2414yes—
592C2×C22⋊D71C2414yes—
593C2×C22⋊D71C2414yes—
594C2×C22⋊D71C2414yes—
595C22×Dic71—24no—
596C22×Dic71—24no—
597C22×Dic71—24no—
598C22×Dic71—24no—
599C22×Dic71—24no—
600C22×Dic71—24no—
601C22×Dic71—24no—
602C22×Dic71—232no—
603C22×Dic71—42no—
604C22×Dic71—42no—
605C22×Dic71—42no—
606C22×Dic71—42no—
607C22×Dic71—42no—
608C22×Dic71#4118yescomplemented
609C22×Dic71C2411yescharacteristic
610C22×Dic71C2411yescharacteristic
611C22×Dic71C2411yescharacteristic
612C22×Dic71C2411yescharacteristic
613C22×Dic71C2411yescharacteristic
614C22×Dic71C2411yescharacteristic
615C22×Dic71C2414yes—
616C22×Dic71C2411yescharacteristic
617C22×Dic71C2414yes—
618C22×Dic71C2414yes—
619C22×Dic71C2414yes—
620C22×Dic71C2414yes—
621C22×Dic71C2411yescharacteristic
622C22×Dic71C2411yescharacteristic
623C22×Dic71C2411yescharacteristic
624C22×Dic71C2411yescharacteristic
625C22×Dic71C2414yes—
626C22×Dic71C2414yes—
627C22×Dic71C2414yes—
628C22×Dic71C2414yes—
629C22×Dic71C2414yes—
630C22×Dic71C2414yes—
631C22×Dic71C2414yes—
632C22×Dic71C2411yescharacteristic
633C22×Dic71C2411yescharacteristic
634C22×Dic71C2414yes—
635C2×C4×D71—24no—
636C2×C4×D71—42no—
637C2×C4×D71—42no—
638C2×C4×D71—42no—
639C2×C4×D71—42no—
640C2×C4×D71—42no—
641C2×C4×D71—42no—
642C2×C4×D71C2414yes—
643C2×C4×D71C2414yes—
644C2×C4×D71C2414yes—
645C2×C4×D71C2414yes—
646C2×C4×D71C2414yes—
647C2×C4×D71C2414yes—
648C2×C4×D71C2414yes—
649C4⋊Dic71C2414yes—
650C4⋊Dic71C2414yes—
651C4⋊Dic71C2414yes—
652C4⋊Dic71C2414yes—
653C4⋊Dic71C2414yes—
654C4⋊Dic71C2414yes—
655Dic71⋊C4C2414yes—
656Dic71⋊C4C2414yes—
657Dic71⋊C4C2414yes—
658Dic71⋊C4C2414yes—
659Dic71⋊C4C2414yes—
660Dic71⋊C4C2414yes—
661Dic71⋊C4C2414yes—
662Dic71⋊C4C2414yes—
663Dic71⋊C4C2414yes—
664Dic71⋊C4C2414yes—
665Dic71⋊C4C2414yes—
666Dic71⋊C4C2414yes—
667Dic71⋊C4C2414yes—
668Dic71⋊C4C2414yes—
669Dic71⋊C4C2414yes—
670Dic71⋊C4C2414yes—
671Dic71⋊C4C2414yes—
672Dic71⋊C4C2414yes—
673Dic71⋊C4C2414yes—
674Dic71⋊C4C2414yes—
675Dic71⋊C4C2414yes—
676Dic71⋊C4C2414yes—
677Dic71⋊C4C2414yes—
678Dic71⋊C4C2414yes—
679C22⋊Dic71C2414yes—
680C22⋊Dic71C2414yes—
681C22⋊Dic71C2414yes—
682C22⋊Dic71C2414yes—
683C22⋊Dic71C2414yes—
684C22⋊Dic71C2414yes—
685C22⋊Dic71C2414yes—
686C22⋊Dic71C2414yes—
687C22⋊Dic71C2414yes—
688C22⋊Dic71C2414yes—
689C22⋊Dic71C2414yes—
690C22⋊Dic71C2414yes—
691C22⋊Dic71C2414yes—
692C22⋊Dic71C2414yes—
693C22⋊Dic71C2414yes—
694C22⋊Dic71C2414yes—
695C22⋊Dic71C2414yes—
696C22⋊Dic71C2414yes—
697(C2×D71)⋊C4C2414yes—
698(C2×D71)⋊C4C2414yes—
699(C2×D71)⋊C4C2414yes—
700(C2×D71)⋊C4C2414yes—
701(C2×D71)⋊C4C2414yes—
702(C2×D71)⋊C4C2414yes—
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—
713C4×Dic71C2414yes—
714C4×Dic71C2414yes—
715C4×Dic71C2414yes—
716C4×Dic71C2414yes—
717C4×Dic71C2414yes—
718C4×Dic71C2414yes—
719C4×Dic71C2414yes—
720C4×Dic71C2414yes—
721C4×Dic71C2414yes—
722C4×Dic71C2414yes—
723C4×Dic71C2414yes—
724C4×Dic71C2414yes—
725C4×Dic71C2414yes—
726C24×C71—24no—
727C24×C71—24no—
728C24×C71—24no—
729C24×C71—42no—
730C24×C71—42no—
731C24×C71—42no—
732C24×C71C2411yescharacteristic
733C24×C71C2411yescharacteristic
734C24×C71C2411yescharacteristic
735C24×C71C2411yescharacteristic
736C24×C71C2414yes—
737C24×C71C2411yescharacteristic
738C24×C71C2411yescharacteristic
739C24×C71C2414yes—
740#41×C71—416no—
741C2×Q8×C71—42no—
742C2×Q8×C71C2414yes—
743C2×D4×C71—24no—
744C2×D4×C71—24no—
745C2×D4×C71—24no—
746C2×D4×C71—24no—
747C2×D4×C71—42no—
748C2×D4×C71—42no—
749C2×D4×C71—42no—
750C2×D4×C71—42no—
751C2×D4×C71—42no—
752C2×D4×C71—416no—
753C2×D4×C71C2414yes—
754C2×D4×C71C2414yes—
755C2×D4×C71C2414yes—
756C2×D4×C71C2414yes—
757C2×D4×C71C2414yes—
758C2×D4×C71C2414yes—
759C2×D4×C71C2414yes—
760C2×D4×C71C2414yes—
761C2×D4×C71C2414yes—
762C22×C4×C71—24no—
763C22×C4×C71—42no—
764C22×C4×C71—42no—
765C22×C4×C71—42no—
766C22×C4×C71—42no—
767C22×C4×C71—42no—
768C22×C4×C71C2411yescharacteristic
769C22×C4×C71C2411yescharacteristic
770C22×C4×C71C2411yescharacteristic
771C22×C4×C71C2411yescharacteristic
772C22×C4×C71C2411yescharacteristic
773C22×C4×C71C2411yescharacteristic
774C22×C4×C71C2411yescharacteristic
775C22×C4×C71C2411yescharacteristic
776C22×C4×C71C2414yes—
777C22×C4×C71C2411yescharacteristic
778C22×C4×C71C2414yes—
779C22×C4×C71C2414yes—
780C22×C4×C71C2414yes—
781C22×C4×C71C2414yes—
782C22×C4×C71C2414yes—
783C4⋊C4×C71C2414yes—
784C4⋊C4×C71C2414yes—
785C4⋊C4×C71C2414yes—
786C4⋊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—
797C22⋊C4×C71C2414yes—
798C22⋊C4×C71C2414yes—
799C42×C71C2414yes—
800C23×C71—22no—
801C23×C71—22no—
802C23×C71—22no—
803C23×C71—22no—
804C23×C71—22no—
805C23×C71—28no—
806C23×C71—22no—
807C23×C71—22no—
808C23×C71—22no—
809C23×C71—22no—
810C23×C71—22no—
811C23×C71—22no—
812C23×C71—28no—
813C23×C71—22no—
814C23×C71—22no—
815C23×C71—22no—
816C23×C71—22no—
817C23×C71—22no—
818C23×C71—28no—
819C23×C71—44no—
820C23×C71—44no—
821C23×C71—44no—
822C23×C71—416no—
823C23×C71—88no—
824C23×C71C2×#4114yes—
825C23×C71H(5,𝔽2)14yes—
826C23×C71C2512yes—
827C23×C71C2512yes—
828C23×C71C2512yes—
829C23×C71C2512yes—
830C23×C71C2512yes—
831C23×C71C2512yes—
832C23×C71C2511yescharacteristic
833C22×D71—22no—
834C22×D71—22no—
835C22×D71—22no—
836C22×D71—22no—
837C22×D71—22no—
838C22×D71—22no—
839C22×D71—22no—
840C22×D71—22no—
841C22×D71—22no—
842C22×D71—28no—
843C22×D71—44no—
844C22×D71—44no—
845C22×D71—88no—
846C22×D71C2512yes—
847C22×D71C2512yes—
848C22×D71C2512yes—
849Q8×C71—44no—
850D4×C71—28no—
851D4×C71—28no—
852D4×C71—28no—
853D4×C71—28no—
854D4×C71—44no—
855D4×C71—44no—
856D4×C71—44no—
857D4×C71—44no—
858D4×C71—44no—
859C2×C4×C71—22no—
860C2×C4×C71—22no—
861C2×C4×C71—22no—
862C2×C4×C71—28no—
863C2×C4×C71—22no—
864C2×C4×C71—22no—
865C2×C4×C71—22no—
866C2×C4×C71—22no—
867C2×C4×C71—22no—
868C2×C4×C71—22no—
869C2×C4×C71—44no—
870C2×C4×C71—44no—
871C2×C4×C71—44no—
872C2×C4×C71—44no—
873C2×C4×C71—44no—
874C2×C4×C71C2512yes—
875C2×C4×C71C2512yes—
876C2×C4×C71C2512yes—
877C2×C4×C71C2512yes—
878C2×C4×C71C2512yes—
879C2×C4×C71C2512yes—
880C2×C4×C71C2512yes—
881C2×C4×C71C2512yes—
882C2×C4×C71C2512yes—
883C22⋊D71—28no—
884C22⋊D71—28no—
885C22⋊D71—28no—
886C22⋊D71—28no—
887C22⋊D71—28no—
888C22⋊D71—28no—
889C22⋊D71—28no—
890C22⋊D71—28no—
891C22⋊D71—28no—
892C22⋊D71—44no—
893C22⋊D71—44no—
894C22⋊D71—44no—
895C22⋊D71—44no—
896C22⋊D71—44no—
897C22⋊D71—44no—
898C22⋊D71—44no—
899C2×Dic71—28no—
900C2×Dic71—22no—
901C2×Dic71—22no—
902C2×Dic71—22no—
903C2×Dic71—22no—
904C2×Dic71—22no—
905C2×Dic71—22no—
906C2×Dic71—22no—
907C2×Dic71—28no—
908C2×Dic71—22no—
909C2×Dic71—22no—
910C2×Dic71—22no—
911C2×Dic71—22no—
912C2×Dic71—28no—
913C2×Dic71—28no—
914C2×Dic71—28no—
915C2×Dic71—28no—
916C2×Dic71—28no—
917C2×Dic71—44no—
918C2×Dic71—44no—
919C2×Dic71—44no—
920C2×Dic71—44no—
921C2×Dic71—44no—
922C2×Dic71C2×#4114yes—
923C2×Dic71C2×#4114yes—
924C2×Dic71C2×#41116yescomplemented
925C2×Dic71C2512yes—
926C2×Dic71C2512yes—
927C2×Dic71C2512yes—
928C2×Dic71C2512yes—
929C2×Dic71C2512yes—
930C2×Dic71C2512yes—
931C2×Dic71C2512yes—
932C2×Dic71C2512yes—
933C2×Dic71C2512yes—
934C2×Dic71C2512yes—
935C2×Dic71C2512yes—
936C2×Dic71C2512yes—
937C2×Dic71C2512yes—
938D284—44no—
939D284—44no—
940C4×D71—28no—
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—22no—
954C22×C71—22no—
955C22×C71—28no—
956C22×C71—28no—
957C22×C71—22no—
958C22×C71—22no—
959C22×C71—22no—
960C22×C71—22no—
961C22×C71—22no—
962C22×C71—22no—
963C22×C71—22no—
964C22×C71—22no—
965C22×C71—22no—
966C22×C71—22no—
967C22×C71—22no—
968C22×C71—22no—
969C22×C71—416no—
970C22×C71—44no—
971C22×C71—44no—
972C22×C71—44no—
973C22×C71—44no—
974C22×C71—88no—
975C22×C71C22×#4114yes—
976C22×C71C22×#4112yes—
977C22×C71C2×H(5,𝔽2)14yes—
978C22×C71C2×H(5,𝔽2)12yes—
979C22×C71#58512yes—
980C22×C71C2611yescharacteristic
981C2×D71—22no—
982C2×D71—22no—
983C2×D71—22no—
984C2×D71—22no—
985C2×D71—22no—
986C2×D71—22no—
987C2×D71—22no—
988C2×D71—22no—
989C2×D71—22no—
990C2×D71—44no—
991C2×D71—44no—
992C2×D71—44no—
993C2×D71—88no—
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—
1003Dic71—22no—
1004Dic71—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—24no—
1019C2×C71—42no—
1020C2×C71—42no—
1021C2×C71—42no—
1022C2×C71—42no—
1023C2×C71#349414yescomplemented
1024C2×C71C23×#4111yescharacteristic
1025C2×C71C22×H(5,𝔽2)11yescharacteristic
1026C2×C71C2×#58511yescharacteristic
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×#551—711no—
1041C2×#547—711no—
1042C2×#547—711no—
1043C2×#546—711no—
1044C2×#546—711no—
1045C2×#546—711no—
1046C2×#546D7111yescharacteristic, complemented
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×#41C2×D7111yescharacteristic, complemented
1068C23×D4—711no—
1069C23×D4—711no—
1070C23×D4C2×D7111yescharacteristic
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#551—7116no—
1082#547—7116no—
1083#547—7116no—
1084#546—7116no—
1085#546—7116no—
1086#546—7116no—
1087#546C2×D71116yescomplemented
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×#126—711no—
1111C2×#126—711no—
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×#123—711no—
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⋊Q8—711no—
1154C2×C22⋊Q8C2×D7111yescharacteristic
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—7116no—
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—711no—
1174C2×#121—711no—
1175C2×#121—711no—
1176C2×#121—711no—
1177C2×#121—711no—
1178C2×#121—711no—
1179C2×#121C2×D7111yescharacteristic, complemented
1180C2×#121C2×D7111yescharacteristic, complemented
1181C2×#121C2×D7111yescharacteristic, complemented
1182C2×#120—711no—
1183C2×#120—711no—
1184C2×#120—711no—
1185C2×#120—711no—
1186C2×#120C2×D7111yescharacteristic
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—711no—
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—7116no—
1229C2×#117—711no—
1230C2×#117—711no—
1231C2×#117—711no—
1232C2×#117—711no—
1233C2×#117—711no—
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—
1250C25C22×D7111yescharacteristic
1251C25C22×D7111yescharacteristic
1252C2×#41—44no—
1253C2×#41—2844no—
1254C2×#41—2844no—
1255C2×#41—2844no—
1256C2×#41—718no—
1257C2×#41—718no—
1258C2×#41—718no—
1259C2×#41—718no—
1260C2×#41—1428no—
1261C2×#41C22×D7118yescomplemented
1262C22×Q8—711no—
1263C22×Q8—711no—
1264C22×Q8—711no—
1265C22×Q8—711no—
1266C22×Q8C22×D7111yescharacteristic
1267C22×D4—44no—
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—1428no—
1290C22×D4C22×D7111yescharacteristic
1291C22×D4C22×D7111yescharacteristic
1292C22×D4C22×D7111yescharacteristic
1293C22×D4C22×D7111yescharacteristic
1294C22×D4C22×D7111yescharacteristic
1295C22×D4C22×D7111yescharacteristic
1296C22×D4C22×D7111yescharacteristic
1297C22×D4C22×D7111yescharacteristic
1298C22×D4C22×D7111yescharacteristic
1299C22×D4C22×D7118yes—
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—718no—
1319C23×C4—711no—
1320C23×C4—711no—
1321C23×C4—1428no—
1322C23×C4C22×D7111yescharacteristic
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#126—718no—
1341#126—718no—
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#123—718no—
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⋊Q8—718no—
1383C22⋊Q8C22×D7118yes—
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#121C22×D7118yescomplemented
1408#121C22×D7118yescomplemented
1409#121C22×D7118yescomplemented
1410#120—718no—
1411#120—718no—
1412#120—718no—
1413#120—718no—
1414#120C22×D7118yes—
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#117—718no—
1458#117—718no—
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—718no—
1470C2×C4⋊C4—718no—
1471C2×C4⋊C4—711no—
1472C2×C4⋊C4—711no—
1473C2×C4⋊C4—711no—
1474C2×C4⋊C4—711no—
1475C2×C4⋊C4—711no—
1476C2×C4⋊C4—718no—
1477C2×C4⋊C4—718no—
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—711no—
1488C2×C4⋊C4—711no—
1489C2×C4⋊C4—711no—
1490C2×C4⋊C4—711no—
1491C2×C4⋊C4—711no—
1492C2×C4⋊C4—711no—
1493C2×C4⋊C4—718no—
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—718no—
1509C2×C22⋊C4—711no—
1510C2×C22⋊C4—711no—
1511C2×C22⋊C4—718no—
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—711no—
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—718no—
1528C2×C22⋊C4—711no—
1529C2×C22⋊C4—711no—
1530C2×C22⋊C4—711no—
1531C2×C22⋊C4—711no—
1532C2×C22⋊C4—711no—
1533C2×C22⋊C4—711no—
1534C2×C22⋊C4—711no—
1535C2×C22⋊C4—711no—
1536C2×C22⋊C4—718no—
1537C2×C22⋊C4—718no—
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×C42—711no—
1566C2×C42—711no—
1567C2×C42C22×D7111yescharacteristic
1568C24—24no—
1569C24—24no—
1570C24—24no—
1571C24—42no—
1572C24—42no—
1573C24—42no—
1574C24—2842no—
1575C24—2842no—
1576C24—714no—
1577C24—711no—
1578C24—711no—
1579C24—711no—
1580C24—1424no—
1581C24C23×D7111yescharacteristic
1582C24C23×D7111yescharacteristic
1583C24C23×D7111yescharacteristic
1584C24C23×D7111yescharacteristic
1585C24C23×D7114yes—
1586C24C23×D7111yescharacteristic
1587C24C23×D7111yescharacteristic
1588C24C23×D7114yes—
1589#41—416no—
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—24no—
1606C2×D4—24no—
1607C2×D4—24no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—416no—
1614C2×D4—2842no—
1615C2×D4—2842no—
1616C2×D4—28416no—
1617C2×D4—2842no—
1618C2×D4—2842no—
1619C2×D4—2842no—
1620C2×D4—2842no—
1621C2×D4—2842no—
1622C2×D4—2842no—
1623C2×D4—2842no—
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—1424no—
1643C2×D4—1424no—
1644C2×D4—1424no—
1645C2×D4—1424no—
1646C2×D4—14232no—
1647C2×D4—1424no—
1648C2×D4—1424no—
1649C2×D4—1424no—
1650C2×D4—1424no—
1651C2×D4—1424no—
1652C2×D4C23×D7114yes—
1653C2×D4C23×D7114yes—
1654C2×D4C23×D7114yes—
1655C2×D4C23×D7114yes—
1656C2×D4C23×D7114yes—
1657C2×D4C23×D7114yes—
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—42no—
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—718no—
1690C22×C4—714no—
1691C22×C4—711no—
1692C22×C4—711no—
1693C22×C4—714no—
1694C22×C4—714no—
1695C22×C4—714no—
1696C22×C4—714no—
1697C22×C4—714no—
1698C22×C4—714no—
1699C22×C4—714no—
1700C22×C4—711no—
1701C22×C4—711no—
1702C22×C4—711no—
1703C22×C4—711no—
1704C22×C4—711no—
1705C22×C4—711no—
1706C22×C4—711no—
1707C22×C4—711no—
1708C22×C4—711no—
1709C22×C4—711no—
1710C22×C4—711no—
1711C22×C4—714no—
1712C22×C4—1424no—
1713C22×C4—1424no—
1714C22×C4—1424no—
1715C22×C4—1424no—
1716C22×C4—1424no—
1717C22×C4—14232no—
1718C22×C4—1424no—
1719C22×C4—1424no—
1720C22×C4—1424no—
1721C22×C4C23×D7114yes—
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×D7114yes—
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⋊C4—714no—
1763C4⋊C4—714no—
1764C4⋊C4—714no—
1765C4⋊C4—714no—
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⋊C4—714no—
1803C22⋊C4—714no—
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—
1827C42—714no—
1828C42—714no—
1829C42C23×D7114yes—
1830C23—22no—
1831C23—22no—
1832C23—22no—
1833C23—22no—
1834C23—28no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—28no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—22no—
1848C23—28no—
1849C23—44no—
1850C23—44no—
1851C23—44no—
1852C23—416no—
1853C23—88no—
1854C23—2844no—
1855C23—2844no—
1856C23—5688no—
1857C23—712no—
1858C23—712no—
1859C23—712no—
1860C23—1422no—
1861C23—1422no—
1862C23—1422no—
1863C23—1422no—
1864C23—1422no—
1865C23—1422no—
1866C23—1422no—
1867C23—1422no—
1868C23—1422no—
1869C23—1428no—
1870C23#41×D7114yes—
1871C23#1455617314yes—
1872C23C24×D7112yes—
1873C23C24×D7112yes—
1874C23C24×D7112yes—
1875C23C24×D7112yes—
1876C23C24×D7112yes—
1877C23C24×D7112yes—
1878C23C24×D7111yescharacteristic
1879Q8—44no—
1880Q8—2844no—
1881Q8—2844no—
1882Q8—2844no—
1883Q8—1428no—
1884D4—28no—
1885D4—28no—
1886D4—28no—
1887D4—28no—
1888D4—44no—
1889D4—44no—
1890D4—44no—
1891D4—44no—
1892D4—44no—
1893D4—2844no—
1894D4—2844no—
1895D4—2844no—
1896D4—2844no—
1897D4—2844no—
1898D4—2844no—
1899D4—2844no—
1900D4—2844no—
1901D4—2844no—
1902D4—1428no—
1903D4—1428no—
1904D4—1428no—
1905D4—1428no—
1906D4—1428no—
1907D4—1428no—
1908D4—1428no—
1909D4—1428no—
1910D4—1428no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—28no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—44no—
1922C2×C4—44no—
1923C2×C4—44no—
1924C2×C4—44no—
1925C2×C4—44no—
1926C2×C4—2844no—
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—714no—
1938C2×C4—714no—
1939C2×C4—7116no—
1940C2×C4—712no—
1941C2×C4—712no—
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—1422no—
1961C2×C4—1422no—
1962C2×C4—1422no—
1963C2×C4—1422no—
1964C2×C4—1422no—
1965C2×C4—1422no—
1966C2×C4—1422no—
1967C2×C4—1422no—
1968C2×C4—1428no—
1969C2×C4—1422no—
1970C2×C4—1422no—
1971C2×C4—1422no—
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—28no—
1983C22—22no—
1984C22—22no—
1985C22—22no—
1986C22—22no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—22no—
1997C22—22no—
1998C22—22no—
1999C22—416no—
2000C22—44no—
2001C22—44no—
2002C22—44no—
2003C22—44no—
2004C22—88no—
2005C22—2844no—
2006C22—2844no—
2007C22—2844no—
2008C22—5688no—
2009C22—1422no—
2010C22—1422no—
2011C22—1422no—
2012C22—1422no—
2013C22—1422no—
2014C22—1422no—
2015C22—1422no—
2016C22—1422no—
2017C22—1422no—
2018C22C2×#41×D7114yes—
2019C22C2×#41×D7112yes—
2020C22C2×#1455617314yes—
2021C22C2×#1455617312yes—
2022C22#1798683412yes—
2023C22C25×D7111yescharacteristic
2024C4—22no—
2025C4—22no—
2026C4—22no—
2027C4—22no—
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—714no—
2034C4—714no—
2035C4—1422no—
2036C4—1422no—
2037C4—1422no—
2038C4—1422no—
2039C4—1422no—
2040C4—1422no—
2041C4—1422no—
2042C4—1422no—
2043C4—1422no—
2044C4—1422no—
2045C4—1422no—
2046C2—24no—
2047C2—24no—
2048C2—42no—
2049C2—42no—
2050C2—42no—
2051C2—42no—
2052C2—2842no—
2053C2—2842no—
2054C2—2842no—
2055C2#2260206214yesdirect product factor
2056C2C22×#41×D7111yescharacteristic
2057C2C22×#1455617311yescharacteristic
2058C2C2×#1798683411yescharacteristic
subgroupG/H
centerC23C24×D71
commutator, cosocleC22×C71C26
FrattiniC22C25×D71
FittingC2×#546×C71C2
socleC23×C71C25
hypercenterC2×#546D71
hypocenterC71C2×#3494
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #22602062C2direct (N × H)
2. C2×#17986713C2semidirect
3. C2×#17986711C2semidirect
4. C2×#17986698C2semidirect
5. C2×#17986694C2semidirect
6. C2×#17986692C2semidirect
7. C2×#17986692C2semidirect
8. C2×#17986680C2semidirect
9. C2×#17986678C2semidirect
10. C2×#17986676C2semidirect
11. C2×#17986675C2semidirect
12. C2×#17986648C2semidirect
13. C2×#17986647C2semidirect
14. C2×#17986643C2semidirect
15. C2×#17986639C2semidirect
16. C2×#17986636C2semidirect
17. C2×#17986628C2semidirect
18. C2×#17986617C2semidirect
19. C2×#17986613C2semidirect
20. C2×#17986599C2semidirect
21. C2×#17986599C2semidirect
22. C2×#17986564C2semidirect
23. C2×#17986545C2semidirect
24. C2×#17986544C2semidirect
25. C2×#17986529C2semidirect
26. C2×#17986526C2semidirect
27. C2×#17986505C2semidirect
28. C22×#14556100C2semidirect
29. C2×#17986478C2semidirect
30. C2×#17986472C2semidirect
31. C22×#14556084C2semidirect
32. C2×#546×C71C2semidirect
33. C22×#11765865C22semidirect
35. C22×#11765864C22semidirect
36. C22×#11765864C22semidirect
40. #17986713C22semidirect
41. #17986711C22semidirect
42. #17986698C22semidirect
43. #17986694C22semidirect
44. #17986692C22semidirect
45. #17986692C22semidirect
46. #17986680C22semidirect
47. #17986678C22semidirect
48. #17986676C22semidirect
49. #17986675C22semidirect
50. #17986648C22semidirect
51. #17986647C22semidirect
52. #17986643C22semidirect
53. #17986639C22semidirect
54. #17986636C22semidirect
55. #17986628C22semidirect
56. #17986617C22semidirect
57. #17986613C22semidirect
58. #17986599C22semidirect
59. #17986599C22semidirect
60. #17986564C22semidirect
61. #17986545C22semidirect
62. #17986544C22semidirect
63. C2×#14556127C22semidirect
64. C2×#14556127C22semidirect
65. C2×#14556126C22semidirect
66. C2×#14556126C22semidirect
67. C2×#14556124C22semidirect
68. C2×#14556124C22semidirect
69. #17986529C22semidirect
70. #17986526C22semidirect
71. C2×#14556123C22semidirect
72. C2×#14556123C22semidirect
73. C2×#14556123C22semidirect
74. C2×#14556122C22semidirect
75. C2×#14556121C22semidirect
76. C2×#14556121C22semidirect
77. C2×#14556121C22semidirect
78. C2×#14556121C22semidirect
79. C2×#14556118C22semidirect
80. C2×#14556118C22semidirect
81. C2×#14556118C22semidirect
82. C2×#14556118C22semidirect
83. C2×#14556117C22semidirect
84. C2×#14556115C22semidirect
85. C2×#14556115C22semidirect
86. C2×#14556114C22semidirect
87. C2×#14556114C22semidirect
88. C2×#14556114C22semidirect
89. C2×#14556114C22semidirect
90. C2×#14556114C22semidirect
91. C2×#14556114C22semidirect
92. #17986505C22semidirect
93. C2×#14556113C22semidirect
94. C2×#14556113C22semidirect
96. C2×#14556112C22semidirect
97. C2×#14556111C22semidirect
98. C2×#14556111C22semidirect
99. C2×#14556111C22semidirect
100. C2×#14556110C22semidirect
101. C2×#14556110C22semidirect
102. C2×#14556110C22semidirect
103. C2×#14556110C22semidirect
105. C2×#14556109C22semidirect
106. C2×#14556109C22semidirect
107. C2×#14556109C22semidirect
108. C2×#14556109C22semidirect
110. C2×#14556107C22semidirect
111. C2×#14556106C22semidirect
114. C2×#14556105C22semidirect
115. C2×#14556105C22semidirect
116. C2×#14556105C22semidirect
117. C2×#14556104C22semidirect
118. C2×#14556102C22semidirect
119. C2×#14556101C22semidirect
120. C2×#14556101C22semidirect
121. C2×#14556101C22semidirect
122. C2×#14556101C22semidirect
131. C2×#14556100C22semidirect
132. C2×#14556100C22semidirect
133. C2×#14556100C22semidirect
134. C2×#14556100C22semidirect
135. C2×#14556100C22semidirect
136. C2×#14556100C22semidirect
137. C2×#14556100C22semidirect
138. C2×#14556100C22semidirect
139. C2×#14556100C22semidirect
140. C2×#14556099C22semidirect
141. C2×#14556099C22semidirect
146. #17986478C22semidirect
147. #17986472C22semidirect
148. C2×C4×Dic142C22semidirect
149. C2×#14556093C22semidirect
151. C2×D4×Dic71C22semidirect
152. C2×D4×Dic71C22semidirect
153. C2×D4×Dic71C22semidirect
154. C2×D4×Dic71C22semidirect
155. C2×#14556090C22semidirect
157. C2×C4×C22⋊D71C22semidirect
158. C2×C4×C22⋊D71C22semidirect
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×#14556087C22semidirect
175. C2×#14556086C22semidirect
176. C2×#14556085C22semidirect
177. C2×#14556085C22semidirect
183. C2×#14556084C22semidirect
184. C2×#14556084C22semidirect
185. C2×#14556084C22semidirect
186. C2×#14556084C22semidirect
187. C2×#14556084C22semidirect
188. C2×#14556084C22semidirect
189. C2×#14556084C22semidirect
191. C22×Dic71⋊C4C22semidirect
192. C22×Dic71⋊C4C22semidirect
193. C22×Dic71⋊C4C22semidirect
194. C2×C4⋊C4×D71C22semidirect
201. C22×C4×Dic71C22semidirect
202. C22×C4×Dic71C22semidirect
203. C22×#41×C71C22semidirect
205. #546×C71C22semidirect
206. C2×#124×C71C22semidirect
207. C2×#123×C71C22semidirect
208. C2×#123×C71C22semidirect
210. C2×#121×C71C22semidirect
211. C2×#121×C71C22semidirect
212. C2×#121×C71C22semidirect
216. C2×C4×D4×C71C22semidirect
221. C2×#11765865C23semidirect
226. C2×#11765864C23semidirect
227. C2×#11765864C23semidirect
276. #14556127C23semidirect
277. #14556127C23semidirect
278. #14556126C23semidirect
279. #14556126C23semidirect
280. #14556124C23semidirect
281. #14556124C23semidirect
282. #14556123C23semidirect
283. #14556123C23semidirect
284. #14556123C23semidirect
285. #14556122C23semidirect
286. #14556121C23semidirect
287. #14556121C23semidirect
288. #14556121C23semidirect
289. #14556121C23semidirect
290. #14556118C23semidirect
291. #14556118C23semidirect
292. #14556118C23semidirect
293. #14556118C23semidirect
294. #14556117C23semidirect
295. #14556115C23semidirect
296. #14556115C23semidirect
297. #14556114C23semidirect
298. #14556114C23semidirect
299. #14556114C23semidirect
300. #14556114C23semidirect
301. #14556114C23semidirect
302. #14556114C23semidirect
303. #14556113C23semidirect
304. #14556113C23semidirect
306. #14556112C23semidirect
307. #14556111C23semidirect
308. #14556111C23semidirect
309. #14556111C23semidirect
310. #14556110C23semidirect
311. #14556110C23semidirect
312. #14556110C23semidirect
313. #14556110C23semidirect
315. #14556109C23semidirect
316. #14556109C23semidirect
317. #14556109C23semidirect
318. #14556109C23semidirect
320. #14556107C23semidirect
321. #14556106C23semidirect
324. #14556105C23semidirect
325. #14556105C23semidirect
326. #14556105C23semidirect
327. #14556104C23semidirect
328. #14556102C23semidirect
329. #14556101C23semidirect
330. #14556101C23semidirect
331. #14556101C23semidirect
332. #14556101C23semidirect
341. #14556100C23semidirect
342. #14556100C23semidirect
343. #14556100C23semidirect
344. #14556100C23semidirect
345. #14556100C23semidirect
346. #14556100C23semidirect
347. #14556100C23semidirect
348. #14556100C23semidirect
349. #14556099C23semidirect
350. #14556099C23semidirect
355. C4×Dic142C23semidirect
356. #14556093C23semidirect
358. D4×Dic71C23semidirect
359. D4×Dic71C23semidirect
360. D4×Dic71C23semidirect
361. D4×Dic71C23semidirect
362. #14556090C23semidirect
364. C4×C22⋊D71C23semidirect
365. C4×C22⋊D71C23semidirect
366. C4×C22⋊D71C23semidirect
367. C4×C22⋊D71C23semidirect
368. C4×C22⋊D71C23semidirect
369. C4×C22⋊D71C23semidirect
370. C4×C22⋊D71C23semidirect
371. C4×C22⋊D71C23semidirect
373. (C22⋊D71)⋊C4C23semidirect
374. (C22⋊D71)⋊C4C23semidirect
375. (C22⋊D71)⋊C4C23semidirect
376. (C22⋊D71)⋊C4C23semidirect
377. (C22⋊D71)⋊C4C23semidirect
378. (C22⋊D71)⋊C4C23semidirect
379. (C22⋊D71)⋊C4C23semidirect
380. (C22⋊D71)⋊C4C23semidirect
381. #14556087C23semidirect
382. #14556086C23semidirect
383. #14556085C23semidirect
384. #14556085C23semidirect
390. #14556084C23semidirect
391. #14556084C23semidirect
392. #14556084C23semidirect
393. #14556084C23semidirect
394. #14556084C23semidirect
395. #14556084C23semidirect
427. C2×Dic71⋊C4C23semidirect
428. C2×Dic71⋊C4C23semidirect
429. C2×Dic71⋊C4C23semidirect
430. C4⋊C4×D71C23semidirect
484. C2×C4×Dic71C23semidirect
485. C2×C4×Dic71C23semidirect
489. C2×#41×C71C23semidirect
508. #124×C71C23semidirect
509. #123×C71C23semidirect
510. #123×C71C23semidirect
512. #121×C71C23semidirect
513. #121×C71C23semidirect
514. #121×C71C23semidirect
518. C4×D4×C71C23semidirect
608. C22×Dic71#41semidirect
924. C2×Dic71C2×#41semidirect
1023. C2×C71#3494semidirect
1046. C2×#546D71semidirect
1062. C71C2×#3494semidirect
1067. C22×#41C2×D71semidirect
1087. #546C2×D71semidirect
1125. C2×#124C2×D71semidirect
1143. C2×#123C2×D71semidirect
1144. C2×#123C2×D71semidirect
1179. C2×#121C2×D71semidirect
1180. C2×#121C2×D71semidirect
1181. C2×#121C2×D71semidirect
1217. C2×C4×D4C2×D71semidirect
1261. C2×#41C22×D71semidirect
1355. #124C22×D71semidirect
1372. #123C22×D71semidirect
1373. #123C22×D71semidirect
1407. #121C22×D71semidirect
1408. #121C22×D71semidirect
1409. #121C22×D71semidirect
1443. C4×D4C22×D71semidirect
2055. C2#22602062direct (N × H)

Maximal subgroups

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

subgroupindex
#226020622
C2×#179867132
C2×#179867112
C2×#179866982
C2×#179866942
C2×#179866922
C2×#179866802
C2×#179866782
C2×#179866762
C2×#179866752
C2×#179866482
C2×#179866472
C2×#179866432
C2×#179866392
C2×#179866362
C2×#179866282
C2×#179866172
C2×#179866132
C2×#179865992
C2×#179865642
C2×#179865452
C2×#179865442
C2×#179865292
C2×#179865262
C2×#179865052
C22×#145561002
C2×#179864782
C2×#179864722
C22×#145560842
C2×#546×C712
C2×#349471