Finite Group Databasebeta

← #32157702

Subgroups — #32157702

Order 18176.

4982 conjugacy classes of subgroups.

The subgroup lattice has 2094 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#120×D71C211yesmaximal, characteristic
2C2×#17986471C211yesmaximal, characteristic, complemented
3C22×C22⋊C4×D71C211yesmaximal, characteristic, complemented
4#22591324C211yesmaximal, characteristic, complemented
5#22591322C211yesmaximal, characteristic, complemented
6#22591320C211yesmaximal, characteristic, complemented
7#22591319C211yesmaximal, characteristic, complemented
8#22591319C211yesmaximal, characteristic, complemented
9#22591317C211yesmaximal, characteristic, complemented
10#22591316C211yesmaximal, characteristic, complemented
11#22591188C211yesmaximal, characteristic, complemented
12#22591187C211yesmaximal, characteristic, complemented
13#22591184C211yesmaximal, characteristic, complemented
14#22591183C211yesmaximal, characteristic, complemented
15#22591161C211yesmaximal, characteristic, complemented
16#22591158C211yesmaximal, characteristic, complemented
17#22591158C211yesmaximal, characteristic, complemented
18D4×(C2×D71)⋊C4C211yesmaximal, characteristic, complemented
19#22591002C211yesmaximal, characteristic, complemented
20#22590999C211yesmaximal, characteristic, complemented
21#22590996C211yesmaximal, characteristic, complemented
22#22590993C211yesmaximal, characteristic, complemented
23#22590951C211yesmaximal, characteristic, complemented
24#22590914C211yesmaximal, characteristic, complemented
25#22590845C211yesmaximal, characteristic, complemented
26C4×#14556098C211yesmaximal, characteristic, complemented
27#22590841C211yesmaximal, characteristic, complemented
28C4×#14556096C211yesmaximal, characteristic, complemented
29C2×#17985854C211yesmaximal, characteristic, complemented
30#22590692C211yesmaximal, characteristic, complemented
31C71×#2358C211yesmaximal, characteristic, complemented
32C25×D71C2211yescharacteristic
33C22×D4×D71C2211yescharacteristic
34C22×D4×D71C2211yescharacteristic
35C22×D4×D71C2211yescharacteristic
36C23×C4×D71C2211yescharacteristic, complemented
37C23×C4×D71C2211yescharacteristic, complemented
38C2×#14556098C2211yescharacteristic
39C2×#14556098C2211yescharacteristic
40C2×#14556098C2211yescharacteristic
41C2×#14556097C2211yescharacteristic
42C2×#14556096C2211yescharacteristic
43C2×#14556096C2211yescharacteristic
44C2×#14556096C2211yescharacteristic
45#120×D71C4116yescomplemented
46#17986471—28no—
47C2×C4×D284C2211yescharacteristic, complemented
48C2×C4×D284C2211yescharacteristic, complemented
49C2×D4×Dic71C2211yescharacteristic, complemented
50C2×D4×Dic71C2211yescharacteristic, complemented
51C2×#14556090C2211yescharacteristic, complemented
52C2×#14556090C2211yescharacteristic, complemented
53C2×C4×C22⋊D71C2211yescharacteristic, complemented
54C2×C4×C22⋊D71C2211yescharacteristic, complemented
55C2×C4×C22⋊D71C2211yescharacteristic, complemented
56C2×C4×C22⋊D71C2211yescharacteristic, complemented
57C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
58C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
59C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
60C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
61C2×#14556086C2211yescharacteristic, complemented
62C2×#14556085C2211yescharacteristic, complemented
63C22×C22⋊Dic71C2211yescharacteristic, complemented
64C22×C22⋊Dic71C2211yescharacteristic, complemented
65C22×(C2×D71)⋊C4C2211yescharacteristic
66C22×(C2×D71)⋊C4C2211yescharacteristic
67C22×(C2×D71)⋊C4C2211yescharacteristic
68C22×(C2×D71)⋊C4C2211yescharacteristic
69C22×(C2×D71)⋊C4C2211yescharacteristic, complemented
70C22×(C2×D71)⋊C4C2211yescharacteristic, complemented
71C22×(C2×D71)⋊C4C2211yescharacteristic, complemented
72C2×C22⋊C4×D71—28no—
73C2×C22⋊C4×D71C2211yescharacteristic
74C2×C22⋊C4×D71C2211yescharacteristic
75C2×C22⋊C4×D71C2211yescharacteristic
76C2×C22⋊C4×D71C2211yescharacteristic
77C2×C22⋊C4×D71C2211yescharacteristic
78C2×C22⋊C4×D71C2211yescharacteristic
79C2×C22⋊C4×D71C2211yescharacteristic
80C2×C22⋊C4×D71C2211yescharacteristic, complemented
81C2×C22⋊C4×D71C2211yescharacteristic, complemented
82C2×C22⋊C4×D71C2211yescharacteristic, complemented
83C2×C22⋊C4×D71C2211yescharacteristic, complemented
84C2×C22⋊C4×D71C2211yescharacteristic, complemented
85#17985902C2211yescharacteristic, complemented
86#17985901C2211yescharacteristic, complemented
87#17985900C2211yescharacteristic, complemented
88#17985899C2211yescharacteristic, complemented
89#17985899C2211yescharacteristic, complemented
90#17985899C2211yescharacteristic, complemented
91#17985899C2211yescharacteristic, complemented
92#17985893C2211yescharacteristic, complemented
93#17985893C2211yescharacteristic, complemented
94#17985892C2211yescharacteristic, complemented
95#17985892C2211yescharacteristic, complemented
96#17985891C2211yescharacteristic, complemented
97#17985891C2211yescharacteristic, complemented
98#17985890C2211yescharacteristic, complemented
99#17985890C2211yescharacteristic, complemented
100#17985889C2211yescharacteristic, complemented
101#17985889C2211yescharacteristic, complemented
102#17985888C2211yescharacteristic, complemented
103#17985888C2211yescharacteristic, complemented
104#17985887C2211yescharacteristic, complemented
105#17985887C2211yescharacteristic, complemented
106#17985879C2211yescharacteristic, complemented
107#17985879C2211yescharacteristic, complemented
108#17985879C2211yescharacteristic, complemented
109#17985878C2211yescharacteristic, complemented
110#17985878C2211yescharacteristic, complemented
111#17985878C2211yescharacteristic, complemented
112#17985877C2211yescharacteristic, complemented
113#17985877C2211yescharacteristic, complemented
114#17985877C2211yescharacteristic, complemented
115#17985877C2211yescharacteristic, complemented
116#17985877C2211yescharacteristic, complemented
117#17985877C2211yescharacteristic, complemented
118#17985876C2211yescharacteristic, complemented
119#17985876C2211yescharacteristic, complemented
120#17985876C2211yescharacteristic, complemented
121#17985875C2211yescharacteristic, complemented
122#17985875C2211yescharacteristic, complemented
123#17985875C2211yescharacteristic, complemented
124#17985875C2211yescharacteristic, complemented
125#17985875C2211yescharacteristic, complemented
126#17985875C2211yescharacteristic, complemented
127#17985874C2211yescharacteristic, complemented
128#17985874C2211yescharacteristic, complemented
129#17985873C2211yescharacteristic, complemented
130#17985873C2211yescharacteristic, complemented
131#17985873C2211yescharacteristic, complemented
132#17985873C2211yescharacteristic, complemented
133#17985872C2211yescharacteristic, complemented
134#17985872C2211yescharacteristic, complemented
135#17985871C2211yescharacteristic, complemented
136#17985871C2211yescharacteristic, complemented
137#17985870C2211yescharacteristic, complemented
138#17985870C2211yescharacteristic, complemented
139#17985870C2211yescharacteristic, complemented
140#17985870C2211yescharacteristic, complemented
141#17985861C2211yescharacteristic, complemented
142#17985861C2211yescharacteristic, complemented
143#17985858C2211yescharacteristic, complemented
144#17985858C2211yescharacteristic, complemented
145#17985856C2211yescharacteristic, complemented
146#17985856C2211yescharacteristic, complemented
147#17985854C2211yescharacteristic
148#17985854C2211yescharacteristic
149#17985854C2211yescharacteristic
150#17985854C2211yescharacteristic
151#17985854C2211yescharacteristic, complemented
152#17985854C2211yescharacteristic, complemented
153#17985854C2211yescharacteristic, complemented
154#17985854C2211yescharacteristic, complemented
155#17985854C2211yescharacteristic, complemented
156#17985854C2211yescharacteristic, complemented
157C22⋊C4×Dic71C2211yescharacteristic, complemented
158C22⋊C4×Dic71C2211yescharacteristic, complemented
159C22⋊C4×Dic71C2211yescharacteristic, complemented
160C22⋊C4×Dic71C2211yescharacteristic, complemented
161C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
167C4×C22⋊Dic71C2211yescharacteristic, complemented
168C4×C22⋊Dic71C2211yescharacteristic, complemented
169#17985846C2211yescharacteristic, complemented
170#17985846C2211yescharacteristic, complemented
171#17985846C2211yescharacteristic, complemented
172#17985846C2211yescharacteristic, complemented
173#17985846C2211yescharacteristic, complemented
174#17985846C2211yescharacteristic, complemented
175C2×#120×C71C2211yescharacteristic
176C2×C4×D4×C71C2211yescharacteristic, complemented
177C2×C4×D4×C71C2211yescharacteristic, complemented
178C22×C22⋊C4×C71C2211yescharacteristic, complemented
179C22×C22⋊C4×C71C2211yescharacteristic, complemented
180#390×C71C2211yescharacteristic, complemented
181#388×C71C2211yescharacteristic, complemented
182#388×C71C2211yescharacteristic, complemented
183#386×C71C2211yescharacteristic, complemented
184#386×C71C2211yescharacteristic, complemented
185#386×C71C2211yescharacteristic, complemented
186#385×C71C2211yescharacteristic, complemented
187#385×C71C2211yescharacteristic, complemented
188C4×C22⋊C4×C71C2211yescharacteristic, complemented
189C4×C22⋊C4×C71C2211yescharacteristic, complemented
190C24×D71—24no—
191C24×D71—24no—
192C24×D71—42no—
193C24×D71—42no—
194C24×D71—42no—
195C24×D71—42no—
196C24×D71C2×C418yescomplemented
197C24×D71C2311yescharacteristic
198C24×D71C2311yescharacteristic
199C24×D71C2311yescharacteristic
200C24×D71C2311yescharacteristic
201C24×D71C2311yescharacteristic
202C24×D71C2311yescharacteristic
203C24×D71C2311yescharacteristic
204C22×D284C2311yescharacteristic
205C22×D284C2311yescharacteristic
206C22×D284C2311yescharacteristic
207C22×C22⋊D71C2311yescharacteristic
208C22×C22⋊D71C2311yescharacteristic
209C22×C22⋊D71C2311yescharacteristic
210C22×C22⋊D71C2311yescharacteristic
211C22×C22⋊D71C2311yescharacteristic
212C22×C22⋊D71C2311yescharacteristic
213C2×D4×D71—24no—
214C2×D4×D71—24no—
215C2×D4×D71—42no—
216C2×D4×D71—42no—
217C2×D4×D71—42no—
218C2×D4×D71—42no—
219C2×D4×D71C2×C418yescomplemented
220C2×D4×D71C2×C418yescomplemented
221C2×D4×D71C2×C418yescomplemented
222C23×Dic71C2311yescharacteristic
223C23×Dic71C2311yescharacteristic
224C23×Dic71C2311yescharacteristic
225C23×Dic71C2311yescharacteristic
226C23×Dic71C2311yescharacteristic, complemented
227C22×C4×D71—24no—
228C22×C4×D71—24no—
229C22×C4×D71—42no—
230C22×C4×D71—42no—
231C22×C4×D71—42no—
232C22×C4×D71—42no—
233C22×C4×D71C2311yescharacteristic
234C22×C4×D71C2311yescharacteristic
235C22×C4×D71C2311yescharacteristic
236C22×C4×D71C2311yescharacteristic
237C22×C4×D71C2311yescharacteristic
238C22×C4×D71C2311yescharacteristic
239C22×C4×D71C2311yescharacteristic
240C22×C4×D71C2311yescharacteristic
241C22×C4×D71C2311yescharacteristic
242C22×C4×D71C2311yescharacteristic
243C22×C4×D71C2311yescharacteristic
244C22×C4×D71C2311yescharacteristic, complemented
245C22×C4×D71C2311yescharacteristic, complemented
246#14556098C2×C418yescomplemented
247#14556098C2×C418yescomplemented
248#14556098C2×C418yescomplemented
249#14556097C2×C418yescomplemented
250#14556096C2×C418yescomplemented
251#14556096C2×C418yescomplemented
252#14556096C2×C418yescomplemented
253C4×D284—24no—
254C4×D284—42no—
255D4×Dic71—24no—
256D4×Dic71—42no—
257#14556090—24no—
258#14556090—42no—
259C4×C22⋊D71—24no—
260C4×C22⋊D71—24no—
261C4×C22⋊D71—42no—
262C4×C22⋊D71—42no—
263(C22⋊D71)⋊C4—24no—
264(C22⋊D71)⋊C4—24no—
265(C22⋊D71)⋊C4—42no—
266(C22⋊D71)⋊C4—42no—
267#14556086—24no—
268#14556085—24no—
269C2×C4⋊Dic71C2311yescharacteristic, complemented
270C2×C4⋊Dic71C2311yescharacteristic, complemented
271C2×C4⋊Dic71C2311yescharacteristic, complemented
272C2×Dic71⋊C4C2311yescharacteristic, complemented
273C2×Dic71⋊C4C2311yescharacteristic, complemented
274C2×Dic71⋊C4C2311yescharacteristic, complemented
275C2×Dic71⋊C4C2311yescharacteristic, complemented
276C2×Dic71⋊C4C2311yescharacteristic, complemented
277C2×Dic71⋊C4C2311yescharacteristic, complemented
278C2×C22⋊Dic71—24no—
279C2×C22⋊Dic71—42no—
280C2×C22⋊Dic71C2311yescharacteristic
281C2×C22⋊Dic71C2311yescharacteristic
282C2×C22⋊Dic71C2311yescharacteristic
283C2×C22⋊Dic71C2311yescharacteristic
284C2×C22⋊Dic71C2311yescharacteristic
285C2×C22⋊Dic71C2311yescharacteristic
286C2×C22⋊Dic71C2311yescharacteristic
287C2×C22⋊Dic71C2311yescharacteristic
288C2×C22⋊Dic71C2311yescharacteristic
289C2×C22⋊Dic71C2311yescharacteristic
290C2×C22⋊Dic71C2311yescharacteristic
291C2×C22⋊Dic71C2311yescharacteristic, complemented
292C2×C22⋊Dic71C2311yescharacteristic, complemented
293C2×C22⋊Dic71C2311yescharacteristic, complemented
294C2×(C2×D71)⋊C4—24no—
295C2×(C2×D71)⋊C4—24no—
296C2×(C2×D71)⋊C4—24no—
297C2×(C2×D71)⋊C4—24no—
298C2×(C2×D71)⋊C4—24no—
299C2×(C2×D71)⋊C4—42no—
300C2×(C2×D71)⋊C4—42no—
301C2×(C2×D71)⋊C4C2311yescharacteristic
302C2×(C2×D71)⋊C4C2311yescharacteristic
303C2×(C2×D71)⋊C4C2311yescharacteristic
304C2×(C2×D71)⋊C4C2311yescharacteristic
305C2×(C2×D71)⋊C4C2311yescharacteristic
306C2×(C2×D71)⋊C4C2311yescharacteristic
307C2×(C2×D71)⋊C4C2311yescharacteristic
308C2×(C2×D71)⋊C4C2311yescharacteristic
309C2×(C2×D71)⋊C4C2311yescharacteristic
310C2×(C2×D71)⋊C4C2311yescharacteristic
311C2×(C2×D71)⋊C4C2311yescharacteristic
312C2×(C2×D71)⋊C4C2311yescharacteristic
313C2×(C2×D71)⋊C4C2311yescharacteristic
314C2×(C2×D71)⋊C4C2311yescharacteristic
315C2×(C2×D71)⋊C4C2311yescharacteristic
316C2×(C2×D71)⋊C4C2311yescharacteristic
317C2×(C2×D71)⋊C4C2311yescharacteristic
318C2×(C2×D71)⋊C4C2311yescharacteristic
319C2×(C2×D71)⋊C4C2311yescharacteristic
320C2×(C2×D71)⋊C4C2311yescharacteristic
321C2×(C2×D71)⋊C4C2311yescharacteristic
322C2×(C2×D71)⋊C4C2311yescharacteristic
323C2×(C2×D71)⋊C4C2311yescharacteristic
324C2×(C2×D71)⋊C4C2311yescharacteristic
325C2×(C2×D71)⋊C4C2311yescharacteristic
326C2×(C2×D71)⋊C4C2311yescharacteristic
327C2×(C2×D71)⋊C4C2311yescharacteristic
328C2×(C2×D71)⋊C4C2311yescharacteristic
329C2×(C2×D71)⋊C4C2311yescharacteristic
330C2×(C2×D71)⋊C4C2311yescharacteristic
331C2×(C2×D71)⋊C4C2311yescharacteristic, complemented
332C2×(C2×D71)⋊C4C2311yescharacteristic, complemented
333C2×(C2×D71)⋊C4C2311yescharacteristic, complemented
334C2×(C2×D71)⋊C4C2311yescharacteristic, complemented
335C2×(C2×D71)⋊C4C2311yescharacteristic, complemented
336C2×(C2×D71)⋊C4C2311yescharacteristic, complemented
337C22⋊C4×D71—24no—
338C22⋊C4×D71—24no—
339C22⋊C4×D71—24no—
340C22⋊C4×D71—24no—
341C22⋊C4×D71—24no—
342C22⋊C4×D71—24no—
343C22⋊C4×D71—24no—
344C22⋊C4×D71—24no—
345C22⋊C4×D71C2×C418yescomplemented
346C22⋊C4×D71C2×C418yescomplemented
347C22⋊C4×D71C2×C418yescomplemented
348C22⋊C4×D71D418yescomplemented
349C2×C4×Dic71C2311yescharacteristic, complemented
350C2×C4×Dic71C2311yescharacteristic, complemented
351C2×C4×Dic71C2311yescharacteristic, complemented
352C2×C4×Dic71C2311yescharacteristic, complemented
353C2×C4×Dic71C2311yescharacteristic, complemented
354C2×C4×Dic71C2311yescharacteristic, complemented
355C2×C4×Dic71C2311yescharacteristic, complemented
356C2×C4×Dic71C2311yescharacteristic, complemented
357C2×C4×Dic71C2311yescharacteristic, complemented
358C71⋊#95C2311yescharacteristic, complemented
359C71⋊#95C2311yescharacteristic, complemented
360C71⋊#95C2311yescharacteristic, complemented
361C71⋊#95C2311yescharacteristic, complemented
362C71⋊#95C2311yescharacteristic, complemented
363C71⋊#95C2311yescharacteristic, complemented
364C71⋊#95C2311yescharacteristic, complemented
365C71⋊#95C2311yescharacteristic, complemented
366C71⋊#95C2311yescharacteristic, complemented
367C71⋊#95C2311yescharacteristic, complemented
368C71⋊#95C2311yescharacteristic, complemented
369C71⋊#95C2311yescharacteristic, complemented
370C71⋊#95C2311yescharacteristic, complemented
371C71⋊#95C2311yescharacteristic, complemented
372C71⋊#95C2311yescharacteristic, complemented
373C71⋊#95C2311yescharacteristic, complemented
374C71⋊#95C2311yescharacteristic, complemented
375C71⋊#95C2311yescharacteristic, complemented
376C25×C71C2311yescharacteristic
377C22×D4×C71C2311yescharacteristic
378C22×D4×C71C2311yescharacteristic
379C22×D4×C71C2311yescharacteristic
380C23×C4×C71C2311yescharacteristic
381C23×C4×C71C2311yescharacteristic
382C23×C4×C71C2311yescharacteristic
383C23×C4×C71C2311yescharacteristic
384C23×C4×C71C2311yescharacteristic, complemented
385#120×C71C2×C418yescomplemented
386C4×D4×C71—24no—
387C4×D4×C71—42no—
388C2×C4⋊C4×C71C2311yescharacteristic, complemented
389C2×C4⋊C4×C71C2311yescharacteristic, complemented
390C2×C4⋊C4×C71C2311yescharacteristic, complemented
391C2×C22⋊C4×C71—24no—
392C2×C22⋊C4×C71—42no—
393C2×C22⋊C4×C71C2311yescharacteristic
394C2×C22⋊C4×C71C2311yescharacteristic
395C2×C22⋊C4×C71C2311yescharacteristic
396C2×C22⋊C4×C71C2311yescharacteristic
397C2×C22⋊C4×C71C2311yescharacteristic
398C2×C22⋊C4×C71C2311yescharacteristic
399C2×C22⋊C4×C71C2311yescharacteristic
400C2×C22⋊C4×C71C2311yescharacteristic
401C2×C22⋊C4×C71C2311yescharacteristic
402C2×C22⋊C4×C71C2311yescharacteristic
403C2×C22⋊C4×C71C2311yescharacteristic
404C2×C22⋊C4×C71C2311yescharacteristic, complemented
405C2×C22⋊C4×C71C2311yescharacteristic, complemented
406C2×C22⋊C4×C71C2311yescharacteristic, complemented
407C2×C42×C71C2311yescharacteristic, complemented
408C2×C42×C71C2311yescharacteristic, complemented
409C2×C42×C71C2311yescharacteristic, complemented
410#95×C71C2311yescharacteristic, complemented
411#95×C71C2311yescharacteristic, complemented
412#95×C71C2311yescharacteristic, complemented
413#95×C71C2311yescharacteristic, complemented
414#95×C71C2311yescharacteristic, complemented
415#95×C71C2311yescharacteristic, complemented
416C23×D71—22no—
417C23×D71—22no—
418C23×D71—22no—
419C23×D71—22no—
420C23×D71—22no—
421C23×D71—22no—
422C23×D71—22no—
423C23×D71—22no—
424C23×D71—22no—
425C23×D71—22no—
426C23×D71—232no—
427C23×D71—22no—
428C23×D71—22no—
429C23×D71—22no—
430C23×D71—22no—
431C23×D71—22no—
432C23×D71—22no—
433C23×D71—22no—
434C23×D71—22no—
435C23×D71—22no—
436C23×D71—22no—
437C23×D71—22no—
438C23×D71—22no—
439C23×D71—416no—
440C23×D71—416no—
441C23×D71—41no—
442C23×D71—41no—
443C23×D71—41no—
444C23×D71—41no—
445C23×D71—41no—
446C23×D71—41no—
447C23×D71—41no—
448C23×D71—41no—
449C23×D71—41no—
450C23×D71—41no—
451C23×D71—41no—
452C23×D71—41no—
453C23×D71—41no—
454C23×D71—41no—
455C23×D71—41no—
456C23×D71—41no—
457C23×D71—41no—
458C23×D71—41no—
459C23×D71—416no—
460C23×D71—416no—
461C23×D71—416no—
462C23×D71—416no—
463C23×D71C22×C414yes—
464C23×D71C22×C414yes—
465C23×D71C22×C414yes—
466C23×D71C22×C414yes—
467C23×D71C22×C414yes—
468C23×D71C22×C414yes—
469C23×D71C22×C414yescomplemented
470C23×D71C2×D414yes—
471C23×D71#4114yes—
472C23×D71C2411yescharacteristic
473C23×D71C2411yescharacteristic
474C23×D71C2411yescharacteristic
475C23×D71C2411yescharacteristic
476C23×D71C2411yescharacteristic
477C2×D284—22no—
478C2×D284—22no—
479C2×D284—22no—
480C2×D284—22no—
481C2×D284—41no—
482C2×D284—41no—
483C2×D284C22×C414yes—
484C2×D284C22×C414yes—
485C2×D284C22×C414yescomplemented
486C2×C22⋊D71—22no—
487C2×C22⋊D71—22no—
488C2×C22⋊D71—22no—
489C2×C22⋊D71—22no—
490C2×C22⋊D71—22no—
491C2×C22⋊D71—22no—
492C2×C22⋊D71—22no—
493C2×C22⋊D71—22no—
494C2×C22⋊D71—41no—
495C2×C22⋊D71—41no—
496C2×C22⋊D71—41no—
497C2×C22⋊D71—41no—
498C2×C22⋊D71C22×C414yes—
499C2×C22⋊D71C22×C414yes—
500C2×C22⋊D71C22×C414yes—
501C2×C22⋊D71C22×C414yescomplemented
502C2×C22⋊D71C22×C414yescomplemented
503C2×C22⋊D71C22×C414yescomplemented
504D4×D71—232no—
505D4×D71—416no—
506D4×D71—416no—
507C22×Dic71—22no—
508C22×Dic71—22no—
509C22×Dic71—22no—
510C22×Dic71—22no—
511C22×Dic71—22no—
512C22×Dic71—22no—
513C22×Dic71—22no—
514C22×Dic71—41no—
515C22×Dic71—41no—
516C22×Dic71—41no—
517C22×Dic71—41no—
518C22×Dic71—41no—
519C22×Dic71—41no—
520C22×Dic71—41no—
521C22×Dic71—41no—
522C22×Dic71C2411yescharacteristic
523C22×Dic71C2411yescharacteristic
524C22×Dic71C2411yescharacteristic
525C22×Dic71C2411yescharacteristic
526C22×Dic71C2411yescharacteristic
527C22×Dic71C2411yescharacteristic
528C22×Dic71C2411yescharacteristic
529C22×Dic71C2411yescharacteristic
530C22×Dic71C2411yescharacteristic
531C22×Dic71C2411yescharacteristic
532C22×Dic71C2411yescharacteristic
533C2×C4×D71—22no—
534C2×C4×D71—22no—
535C2×C4×D71—22no—
536C2×C4×D71—22no—
537C2×C4×D71—22no—
538C2×C4×D71—22no—
539C2×C4×D71—22no—
540C2×C4×D71—22no—
541C2×C4×D71—22no—
542C2×C4×D71—22no—
543C2×C4×D71—22no—
544C2×C4×D71—22no—
545C2×C4×D71—22no—
546C2×C4×D71—22no—
547C2×C4×D71—41no—
548C2×C4×D71—41no—
549C2×C4×D71—41no—
550C2×C4×D71—41no—
551C2×C4×D71—41no—
552C2×C4×D71—41no—
553C2×C4×D71—41no—
554C2×C4×D71—41no—
555C2×C4×D71—41no—
556C2×C4×D71—41no—
557C2×C4×D71—41no—
558C2×C4×D71—41no—
559C2×C4×D71—41no—
560C2×C4×D71—41no—
561C2×C4×D71—41no—
562C2×C4×D71—41no—
563C2×C4×D71—416no—
564C2×C4×D71—416no—
565C2×C4×D71—41no—
566C2×C4×D71—41no—
567C2×C4×D71—41no—
568C2×C4×D71—41no—
569C2×C4×D71C22×C414yescomplemented
570C2×C4×D71C22×C414yescomplemented
571C2×C4×D71C22×C414yescomplemented
572C2×C4×D71C2×D414yescomplemented
573C2×C4×D71C2×D414yescomplemented
574C4⋊Dic71—22no—
575C4⋊Dic71—41no—
576C4⋊Dic71—41no—
577Dic71⋊C4—22no—
578Dic71⋊C4—22no—
579Dic71⋊C4—41no—
580Dic71⋊C4—41no—
581Dic71⋊C4—41no—
582Dic71⋊C4—41no—
583C22⋊Dic71—22no—
584C22⋊Dic71—22no—
585C22⋊Dic71—22no—
586C22⋊Dic71—22no—
587C22⋊Dic71—22no—
588C22⋊Dic71—22no—
589C22⋊Dic71—41no—
590C22⋊Dic71—41no—
591C22⋊Dic71—41no—
592C22⋊Dic71—41no—
593C22⋊Dic71C22×C414yes—
594C22⋊Dic71C22×C414yescomplemented
595C22⋊Dic71C22×C414yescomplemented
596C22⋊Dic71C2×D414yescomplemented
597(C2×D71)⋊C4—22no—
598(C2×D71)⋊C4—22no—
599(C2×D71)⋊C4—22no—
600(C2×D71)⋊C4—22no—
601(C2×D71)⋊C4—22no—
602(C2×D71)⋊C4—22no—
603(C2×D71)⋊C4—22no—
604(C2×D71)⋊C4—22no—
605(C2×D71)⋊C4—22no—
606(C2×D71)⋊C4—22no—
607(C2×D71)⋊C4—22no—
608(C2×D71)⋊C4—22no—
609(C2×D71)⋊C4—22no—
610(C2×D71)⋊C4—22no—
611(C2×D71)⋊C4—22no—
612(C2×D71)⋊C4—22no—
613(C2×D71)⋊C4—22no—
614(C2×D71)⋊C4—22no—
615(C2×D71)⋊C4—22no—
616(C2×D71)⋊C4—22no—
617(C2×D71)⋊C4—41no—
618(C2×D71)⋊C4—41no—
619(C2×D71)⋊C4—41no—
620(C2×D71)⋊C4—41no—
621(C2×D71)⋊C4—41no—
622(C2×D71)⋊C4—41no—
623(C2×D71)⋊C4—41no—
624(C2×D71)⋊C4—41no—
625(C2×D71)⋊C4C22×C414yes—
626(C2×D71)⋊C4C22×C414yes—
627(C2×D71)⋊C4C22×C414yes—
628(C2×D71)⋊C4C22×C414yes—
629(C2×D71)⋊C4C22×C414yescomplemented
630(C2×D71)⋊C4C22×C414yescomplemented
631(C2×D71)⋊C4C2×D414yes—
632(C2×D71)⋊C4C2×D414yes—
633C4×Dic71—22no—
634C4×Dic71—22no—
635C4×Dic71—22no—
636C4×Dic71—41no—
637C4×Dic71—41no—
638C4×Dic71—41no—
639C4×Dic71—41no—
640C4×Dic71—41no—
641C4×Dic71—41no—
642C24×C71—22no—
643C24×C71—22no—
644C24×C71—22no—
645C24×C71—22no—
646C24×C71—41no—
647C24×C71—41no—
648C24×C71C22×C414yes—
649C24×C71C2411yescharacteristic
650C24×C71C2411yescharacteristic
651C24×C71C2411yescharacteristic
652C24×C71C2411yescharacteristic
653C2×D4×C71—22no—
654C2×D4×C71—22no—
655C2×D4×C71—22no—
656C2×D4×C71—22no—
657C2×D4×C71—41no—
658C2×D4×C71—41no—
659C2×D4×C71C22×C414yes—
660C2×D4×C71C22×C414yescomplemented
661C2×D4×C71C22×C414yescomplemented
662C22×C4×C71—22no—
663C22×C4×C71—22no—
664C22×C4×C71—22no—
665C22×C4×C71—22no—
666C22×C4×C71—22no—
667C22×C4×C71—22no—
668C22×C4×C71—22no—
669C22×C4×C71—41no—
670C22×C4×C71—41no—
671C22×C4×C71—41no—
672C22×C4×C71—41no—
673C22×C4×C71—41no—
674C22×C4×C71—41no—
675C22×C4×C71—41no—
676C22×C4×C71—41no—
677C22×C4×C71C2411yescharacteristic
678C22×C4×C71C2411yescharacteristic
679C22×C4×C71C2411yescharacteristic
680C22×C4×C71C2411yescharacteristic
681C22×C4×C71C2411yescharacteristic
682C22×C4×C71C2411yescharacteristic
683C22×C4×C71C2411yescharacteristic
684C22×C4×C71C2411yescharacteristic
685C22×C4×C71C2411yescharacteristic
686C22×C4×C71C2411yescharacteristic
687C22×C4×C71C2411yescharacteristic
688C4⋊C4×C71—22no—
689C4⋊C4×C71—41no—
690C4⋊C4×C71—41no—
691C22⋊C4×C71—22no—
692C22⋊C4×C71—22no—
693C22⋊C4×C71—22no—
694C22⋊C4×C71—22no—
695C22⋊C4×C71—22no—
696C22⋊C4×C71—22no—
697C22⋊C4×C71—41no—
698C22⋊C4×C71—41no—
699C22⋊C4×C71—41no—
700C22⋊C4×C71—41no—
701C22⋊C4×C71C22×C414yes—
702C22⋊C4×C71C22×C414yescomplemented
703C22⋊C4×C71C22×C414yescomplemented
704C22⋊C4×C71C2×D414yescomplemented
705C42×C71—22no—
706C42×C71—41no—
707C42×C71—41no—
708C23×C71—21no—
709C23×C71—21no—
710C23×C71—21no—
711C23×C71—21no—
712C23×C71—21no—
713C23×C71—21no—
714C23×C71—21no—
715C23×C71—21no—
716C23×C71—28no—
717C23×C71—28no—
718C23×C71—21no—
719C23×C71—21no—
720C23×C71—21no—
721C23×C71—21no—
722C23×C71—21no—
723C23×C71—21no—
724C23×C71—21no—
725C23×C71—21no—
726C23×C71—21no—
727C23×C71—21no—
728C23×C71—21no—
729C23×C71—21no—
730C23×C71—44no—
731C23×C71—44no—
732C23×C71—44no—
733C23×C71—44no—
734C23×C71—44no—
735C23×C71C23×C412yes—
736C23×C71C23×C412yes—
737C23×C71C23×C412yes—
738C23×C71C23×C412yes—
739C23×C71C22×D412yes—
740C23×C71C2×#4112yes—
741C23×C71H(5,𝔽2)12yes—
742C23×C71H(5,𝔽2)12yes—
743C23×C71C2511yescharacteristic
744C22×D71—28no—
745C22×D71—28no—
746C22×D71—28no—
747C22×D71—28no—
748C22×D71—28no—
749C22×D71—21no—
750C22×D71—21no—
751C22×D71—21no—
752C22×D71—21no—
753C22×D71—21no—
754C22×D71—21no—
755C22×D71—21no—
756C22×D71—21no—
757C22×D71—21no—
758C22×D71—21no—
759C22×D71—21no—
760C22×D71—21no—
761C22×D71—28no—
762C22×D71—28no—
763C22×D71—28no—
764C22×D71—28no—
765C22×D71—21no—
766C22×D71—21no—
767C22×D71—21no—
768C22×D71—21no—
769C22×D71—21no—
770C22×D71—21no—
771C22×D71—21no—
772C22×D71—21no—
773C22×D71—21no—
774C22×D71—21no—
775C22×D71—21no—
776C22×D71—21no—
777C22×D71—28no—
778C22×D71—28no—
779C22×D71—28no—
780C22×D71—28no—
781C22×D71—28no—
782C22×D71—28no—
783C22×D71—44no—
784C22×D71—44no—
785C22×D71—44no—
786C22×D71—44no—
787C22×D71—44no—
788C22×D71—44no—
789C22×D71—44no—
790C22×D71—44no—
791C22×D71—44no—
792C22×D71—44no—
793C22×D71—44no—
794C22×D71—44no—
795C22×D71—44no—
796C22×D71—44no—
797C22×D71—44no—
798C22×D71—44no—
799C22×D71—44no—
800C22×D71—44no—
801C22×D71—44no—
802C22×D71—44no—
803C22×D71—44no—
804C22×D71—44no—
805C22×D71—44no—
806C22×D71—44no—
807C22×D71—44no—
808C22×D71—4128no—
809C22×D71—44no—
810C22×D71—44no—
811C22×D71—44no—
812C22×D71—44no—
813C22×D71—82no—
814C22×D71—82no—
815C22×D71—82no—
816C22×D71—82no—
817C22×D71C4×D4116yescomplemented
818C22×D71C23×C412yes—
819C22×D71C23×C412yes—
820C22×D71C23×C412yes—
821C22×D71C23×C412yes—
822C22×D71C23×C412yes—
823C22×D71C22×D412yes—
824C22×D71C22×D412yes—
825C22×D71C2×#4112yes—
826C22×D71C2×#4112yes—
827C22×D71H(5,𝔽2)12yes—
828C22×D71H(5,𝔽2)12yes—
829D4×C71—28no—
830D4×C71—28no—
831D4×C71—44no—
832C2×C4×C71—21no—
833C2×C4×C71—21no—
834C2×C4×C71—21no—
835C2×C4×C71—21no—
836C2×C4×C71—21no—
837C2×C4×C71—21no—
838C2×C4×C71—21no—
839C2×C4×C71—21no—
840C2×C4×C71—21no—
841C2×C4×C71—21no—
842C2×C4×C71—21no—
843C2×C4×C71—21no—
844C2×C4×C71—21no—
845C2×C4×C71—21no—
846C2×C4×C71—21no—
847C2×C4×C71—21no—
848C2×C4×C71—21no—
849C2×C4×C71—21no—
850C2×C4×C71—21no—
851C2×C4×C71—21no—
852C2×C4×C71—21no—
853C2×C4×C71—21no—
854C2×C4×C71—21no—
855C2×C4×C71—21no—
856C2×C4×C71—21no—
857C2×C4×C71—21no—
858C2×C4×C71—21no—
859C2×C4×C71—21no—
860C2×C4×C71—44no—
861C2×C4×C71—44no—
862C2×C4×C71—82no—
863C2×C4×C71—82no—
864C2×C4×C71—82no—
865C2×C4×C71C23×C412yes—
866C2×C4×C71C23×C412yes—
867C2×C4×C71C23×C412yes—
868C2×C4×C71C22×D412yes—
869C2×C4×C71C22×D412yes—
870C22⋊D71—28no—
871C22⋊D71—28no—
872C22⋊D71—28no—
873C22⋊D71—28no—
874C22⋊D71—44no—
875C22⋊D71—44no—
876C2×Dic71—21no—
877C2×Dic71—21no—
878C2×Dic71—21no—
879C2×Dic71—21no—
880C2×Dic71—21no—
881C2×Dic71—21no—
882C2×Dic71—21no—
883C2×Dic71—21no—
884C2×Dic71—21no—
885C2×Dic71—21no—
886C2×Dic71—21no—
887C2×Dic71—21no—
888C2×Dic71—21no—
889C2×Dic71—21no—
890C2×Dic71—21no—
891C2×Dic71—21no—
892C2×Dic71—21no—
893C2×Dic71—21no—
894C2×Dic71—21no—
895C2×Dic71—21no—
896C2×Dic71—21no—
897C2×Dic71—21no—
898C2×Dic71—21no—
899C2×Dic71—21no—
900C2×Dic71—21no—
901C2×Dic71—21no—
902C2×Dic71—21no—
903C2×Dic71—21no—
904C2×Dic71—44no—
905C2×Dic71—44no—
906C2×Dic71—82no—
907C2×Dic71—82no—
908C2×Dic71—82no—
909C2×Dic71C23×C412yes—
910C2×Dic71C23×C412yes—
911C2×Dic71C23×C412yes—
912C2×Dic71C22×D412yes—
913C2×Dic71C22×D412yes—
914D284—28no—
915D284—28no—
916D284—44no—
917C4×D71—28no—
918C4×D71—44no—
919C4×D71—44no—
920C4×D71—44no—
921C4×D71—44no—
922C4×D71—44no—
923C4×D71—44no—
924C4×D71—44no—
925C4×D71—44no—
926C4×D71—44no—
927C4×D71—44no—
928C4×D71—82no—
929C4×D71—82no—
930C22×C71—22no—
931C22×C71—22no—
932C22×C71—22no—
933C22×C71—22no—
934C22×C71—22no—
935C22×C71—22no—
936C22×C71—22no—
937C22×C71—22no—
938C22×C71—22no—
939C22×C71—22no—
940C22×C71—22no—
941C22×C71—22no—
942C22×C71—22no—
943C22×C71—22no—
944C22×C71—22no—
945C22×C71—22no—
946C22×C71—22no—
947C22×C71—22no—
948C22×C71—416no—
949C22×C71—41no—
950C22×C71—41no—
951C22×C71—41no—
952C22×C71—41no—
953C22×C71—41no—
954C22×C71—41no—
955C22×C71—41no—
956C22×C71—41no—
957C22×C71C2×C4×D414yes—
958C22×C71#51814yescomplemented
959C22×C71C24×C411yescharacteristic
960C22×C71C23×D411yescharacteristic
961C22×C71C22×#4111yescharacteristic
962C22×C71C2×H(5,𝔽2)11yescharacteristic
963C22×C71C2×H(5,𝔽2)11yescharacteristic
964C22×C71C2×H(5,𝔽2)11yescharacteristic
965C22×C71C2×H(5,𝔽2)11yescharacteristic
966C2×D71—232no—
967C2×D71—22no—
968C2×D71—22no—
969C2×D71—22no—
970C2×D71—22no—
971C2×D71—22no—
972C2×D71—22no—
973C2×D71—22no—
974C2×D71—22no—
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—22no—
988C2×D71—22no—
989C2×D71—22no—
990C2×D71—22no—
991C2×D71—416no—
992C2×D71—416no—
993C2×D71—416no—
994C2×D71—416no—
995C2×D71—416no—
996C2×D71—41no—
997C2×D71—41no—
998C2×D71—41no—
999C2×D71—41no—
1000C2×D71—41no—
1001C2×D71—41no—
1002C2×D71—41no—
1003C2×D71—41no—
1004C2×D71—88no—
1005C2×D71C2×C4×D414yes—
1006C2×D71C2×C4×D414yes—
1007C2×D71#51814yescomplemented
1008C4×C71—22no—
1009C4×C71—22no—
1010C4×C71—22no—
1011C4×C71—22no—
1012C4×C71—22no—
1013C4×C71—41no—
1014C4×C71—41no—
1015C4×C71—41no—
1016C4×C71—41no—
1017C4×C71—41no—
1018C4×C71—41no—
1019Dic71—22no—
1020Dic71—22no—
1021Dic71—22no—
1022Dic71—22no—
1023Dic71—22no—
1024Dic71—41no—
1025Dic71—41no—
1026Dic71—41no—
1027Dic71—41no—
1028Dic71—41no—
1029Dic71—41no—
1030#34198—711nomaximal, Sylow
1031C2×C71—24no—
1032C2×C71—24no—
1033C2×C71—42no—
1034C2×C71—42no—
1035C2×C71C22×C4×D411yescharacteristic
1036C2×C71C2×#51811yescharacteristic
1037C2×C71C2×#51811yescharacteristic
1038C2×C71#348411yescharacteristic
1039C2×C71#348411yescharacteristic
1040C2×C71#349011yescharacteristic
1041C2×C71#349011yescharacteristic
1042D71—24no—
1043D71—24no—
1044D71—24no—
1045D71—42no—
1046D71—42no—
1047C22×#120—711no—
1048C2×#518—711no—
1049C23×C22⋊C4—711no—
1050#2358—711no—
1051#2358—711no—
1052#2358—711no—
1053#2358—711no—
1054#2358—711no—
1055#2358—711no—
1056#2358—711no—
1057#2358D7111yescharacteristic, complemented
1058#2342—711no—
1059#2342—711no—
1060#2342—711no—
1061#2342—711no—
1062D4×C22⋊C4—711no—
1063D4×C22⋊C4—711no—
1064D4×C22⋊C4—711no—
1065D4×C22⋊C4—711no—
1066#2321—711no—
1067#2321—711no—
1068#2321—711no—
1069#2321—711no—
1070#2315—711no—
1071#2308—711no—
1072C4×#120—711no—
1073C4×#120—711no—
1074C4×#120—711no—
1075C4×#120—711no—
1076C2×#379—711no—
1077#2273—711no—
1078C71#3419811yescharacteristic, complemented, Sylow
1079C26—711no—
1080C23×D4—711no—
1081C23×D4—711no—
1082C23×D4—711no—
1083C24×C4—711no—
1084C24×C4—711no—
1085C2×#120—711no—
1086C2×#120—711no—
1087C2×#120—711no—
1088C2×#120—711no—
1089C2×#120—7116no—
1090C2×#120—711no—
1091C2×#120—711no—
1092C2×#120—711no—
1093C2×#120C2×D7111yescharacteristic
1094#518—1428no—
1095C2×C4×D4—711no—
1096C2×C4×D4—711no—
1097C2×C4×D4—711no—
1098C2×C4×D4—711no—
1099C2×C4×D4—711no—
1100C2×C4×D4—711no—
1101C2×C4×D4—711no—
1102C2×C4×D4—711no—
1103C2×C4×D4—711no—
1104C2×C4×D4—711no—
1105C2×C4×D4—711no—
1106C2×C4×D4—711no—
1107C2×C4×D4—711no—
1108C2×C4×D4—711no—
1109C2×C4×D4C2×D7111yescharacteristic, complemented
1110C2×C4×D4C2×D7111yescharacteristic, complemented
1111C2×#117—711no—
1112C2×#117—711no—
1113C22×C22⋊C4—711no—
1114C22×C22⋊C4—711no—
1115C22×C22⋊C4—711no—
1116C22×C22⋊C4—711no—
1117C22×C22⋊C4—711no—
1118C22×C22⋊C4—711no—
1119C22×C22⋊C4—711no—
1120C22×C22⋊C4—711no—
1121C22×C22⋊C4—711no—
1122C22×C22⋊C4—711no—
1123C22×C22⋊C4—711no—
1124C22×C22⋊C4—711no—
1125C22×C22⋊C4—711no—
1126C22×C22⋊C4—711no—
1127C22×C22⋊C4—711no—
1128C22×C22⋊C4—711no—
1129C22×C22⋊C4—711no—
1130C22×C22⋊C4—711no—
1131C22×C22⋊C4—711no—
1132C22×C22⋊C4—711no—
1133C22×C22⋊C4—711no—
1134C22×C22⋊C4—1428no—
1135C22×C22⋊C4C2×D7111yescharacteristic, complemented
1136C22×C22⋊C4C2×D7111yescharacteristic, complemented
1137#390—711no—
1138#390—711no—
1139#390—711no—
1140#390—711no—
1141#390—711no—
1142#390—711no—
1143#390—711no—
1144#390C2×D7111yescharacteristic, complemented
1145#388—711no—
1146#388—711no—
1147#388—711no—
1148#388—711no—
1149#388—711no—
1150#388—711no—
1151#388—711no—
1152#388—711no—
1153#388—711no—
1154#388—711no—
1155#388—711no—
1156#388—711no—
1157#388—711no—
1158#388—711no—
1159#388C2×D7111yescharacteristic, complemented
1160#388C2×D7111yescharacteristic, complemented
1161#386—711no—
1162#386—711no—
1163#386—711no—
1164#386—711no—
1165#386—711no—
1166#386—711no—
1167#386—711no—
1168#386—711no—
1169#386—711no—
1170#386—711no—
1171#386—711no—
1172#386—711no—
1173#386—711no—
1174#386—711no—
1175#386—711no—
1176#386—711no—
1177#386—711no—
1178#386—711no—
1179#386—711no—
1180#386—711no—
1181#386—711no—
1182#386C2×D7111yescharacteristic, complemented
1183#386C2×D7111yescharacteristic, complemented
1184#386C2×D7111yescharacteristic, complemented
1185#385—711no—
1186#385—711no—
1187#385—711no—
1188#385—711no—
1189#385—711no—
1190#385—711no—
1191#385—711no—
1192#385—711no—
1193#385—711no—
1194#385—711no—
1195#385—711no—
1196#385—711no—
1197#385—711no—
1198#385—711no—
1199#385C2×D7111yescharacteristic, complemented
1200#385C2×D7111yescharacteristic, complemented
1201#381—711no—
1202#381—711no—
1203#380—711no—
1204#380—711no—
1205#380—711no—
1206#380—711no—
1207#379—711no—
1208#379—711no—
1209#379—711no—
1210#379—711no—
1211#379—711no—
1212#379—711no—
1213#379—711no—
1214#379—711no—
1215#379—711no—
1216#379—711no—
1217C4×C22⋊C4—711no—
1218C4×C22⋊C4—711no—
1219C4×C22⋊C4—711no—
1220C4×C22⋊C4—711no—
1221C4×C22⋊C4—711no—
1222C4×C22⋊C4—711no—
1223C4×C22⋊C4—711no—
1224C4×C22⋊C4—711no—
1225C4×C22⋊C4—711no—
1226C4×C22⋊C4—711no—
1227C4×C22⋊C4—711no—
1228C4×C22⋊C4—711no—
1229C4×C22⋊C4—711no—
1230C4×C22⋊C4—711no—
1231C4×C22⋊C4—711no—
1232C4×C22⋊C4—711no—
1233C4×C22⋊C4—711no—
1234C4×C22⋊C4—711no—
1235C4×C22⋊C4C2×D7111yescharacteristic, complemented
1236C4×C22⋊C4C2×D7111yescharacteristic, complemented
1237C25—2842no—
1238C25—2842no—
1239C25—2842no—
1240C25—2842no—
1241C25—711no—
1242C25—718no—
1243C25—711no—
1244C25—711no—
1245C25—711no—
1246C25—711no—
1247C25—711no—
1248C25—711no—
1249C25—1424no—
1250C25—1424no—
1251C25C22×D7111yescharacteristic
1252C22×D4—2842no—
1253C22×D4—2842no—
1254C22×D4—2842no—
1255C22×D4—2842no—
1256C22×D4—711no—
1257C22×D4—711no—
1258C22×D4—718no—
1259C22×D4—718no—
1260C22×D4—711no—
1261C22×D4—711no—
1262C22×D4—711no—
1263C22×D4—711no—
1264C22×D4—718no—
1265C22×D4—711no—
1266C22×D4—711no—
1267C22×D4—711no—
1268C22×D4—1424no—
1269C22×D4—1424no—
1270C22×D4C22×D7111yescharacteristic
1271C22×D4C22×D7111yescharacteristic
1272C22×D4C22×D7111yescharacteristic
1273C23×C4—2842no—
1274C23×C4—2842no—
1275C23×C4—2842no—
1276C23×C4—2842no—
1277C23×C4—711no—
1278C23×C4—711no—
1279C23×C4—711no—
1280C23×C4—711no—
1281C23×C4—711no—
1282C23×C4—711no—
1283C23×C4—711no—
1284C23×C4—711no—
1285C23×C4—711no—
1286C23×C4—711no—
1287C23×C4—711no—
1288C23×C4—711no—
1289C23×C4—711no—
1290C23×C4—711no—
1291C23×C4—711no—
1292C23×C4—711no—
1293C23×C4—711no—
1294C23×C4—711no—
1295C23×C4—1424no—
1296C23×C4—1424no—
1297C23×C4C22×D7111yescharacteristic
1298C23×C4C22×D7111yescharacteristic
1299C23×C4C22×D7111yescharacteristic
1300C23×C4C22×D7111yescharacteristic
1301C23×C4C22×D7111yescharacteristic, complemented
1302#120—718no—
1303#120—718no—
1304#120—718no—
1305#120—718no—
1306#120—718no—
1307#120—718no—
1308#120—718no—
1309#120C4×D7118yescomplemented
1310C4×D4—24no—
1311C4×D4—42no—
1312C4×D4—2842no—
1313C4×D4—2842no—
1314C4×D4—2842no—
1315C4×D4—2842no—
1316C4×D4—2842no—
1317C4×D4—2842no—
1318C4×D4—2842no—
1319C4×D4—1424no—
1320C4×D4—1424no—
1321C4×D4—1424no—
1322C4×D4—1424no—
1323C4×D4—1424no—
1324C4×D4—1424no—
1325C4×D4—1424no—
1326#117—1424no—
1327#117—1424no—
1328C2×C4⋊C4—711no—
1329C2×C4⋊C4—711no—
1330C2×C4⋊C4—711no—
1331C2×C4⋊C4—711no—
1332C2×C4⋊C4—711no—
1333C2×C4⋊C4—711no—
1334C2×C4⋊C4—711no—
1335C2×C4⋊C4—711no—
1336C2×C4⋊C4—711no—
1337C2×C4⋊C4C22×D7111yescharacteristic, complemented
1338C2×C4⋊C4C22×D7111yescharacteristic, complemented
1339C2×C4⋊C4C22×D7111yescharacteristic, complemented
1340C2×C22⋊C4—24no—
1341C2×C22⋊C4—42no—
1342C2×C22⋊C4—2842no—
1343C2×C22⋊C4—2842no—
1344C2×C22⋊C4—2842no—
1345C2×C22⋊C4—711no—
1346C2×C22⋊C4—711no—
1347C2×C22⋊C4—711no—
1348C2×C22⋊C4—711no—
1349C2×C22⋊C4—711no—
1350C2×C22⋊C4—711no—
1351C2×C22⋊C4—711no—
1352C2×C22⋊C4—711no—
1353C2×C22⋊C4—711no—
1354C2×C22⋊C4—711no—
1355C2×C22⋊C4—711no—
1356C2×C22⋊C4—711no—
1357C2×C22⋊C4—711no—
1358C2×C22⋊C4—711no—
1359C2×C22⋊C4—711no—
1360C2×C22⋊C4—711no—
1361C2×C22⋊C4—711no—
1362C2×C22⋊C4—711no—
1363C2×C22⋊C4—711no—
1364C2×C22⋊C4—711no—
1365C2×C22⋊C4—711no—
1366C2×C22⋊C4—711no—
1367C2×C22⋊C4—711no—
1368C2×C22⋊C4—711no—
1369C2×C22⋊C4—718no—
1370C2×C22⋊C4—718no—
1371C2×C22⋊C4—718no—
1372C2×C22⋊C4—718no—
1373C2×C22⋊C4—711no—
1374C2×C22⋊C4—711no—
1375C2×C22⋊C4—711no—
1376C2×C22⋊C4—711no—
1377C2×C22⋊C4—711no—
1378C2×C22⋊C4—711no—
1379C2×C22⋊C4—711no—
1380C2×C22⋊C4—711no—
1381C2×C22⋊C4—711no—
1382C2×C22⋊C4—711no—
1383C2×C22⋊C4—711no—
1384C2×C22⋊C4—711no—
1385C2×C22⋊C4—711no—
1386C2×C22⋊C4—711no—
1387C2×C22⋊C4—711no—
1388C2×C22⋊C4—711no—
1389C2×C22⋊C4—711no—
1390C2×C22⋊C4—711no—
1391C2×C22⋊C4—711no—
1392C2×C22⋊C4—711no—
1393C2×C22⋊C4—711no—
1394C2×C22⋊C4—711no—
1395C2×C22⋊C4—711no—
1396C2×C22⋊C4—711no—
1397C2×C22⋊C4—711no—
1398C2×C22⋊C4—711no—
1399C2×C22⋊C4—1424no—
1400C2×C22⋊C4—1424no—
1401C2×C22⋊C4—1424no—
1402C2×C22⋊C4—1424no—
1403C2×C22⋊C4—1424no—
1404C2×C22⋊C4—1424no—
1405C2×C22⋊C4—1424no—
1406C2×C22⋊C4—1424no—
1407C2×C22⋊C4—1424no—
1408C2×C22⋊C4—1424no—
1409C2×C22⋊C4—1424no—
1410C2×C22⋊C4—1424no—
1411C2×C22⋊C4—1424no—
1412C2×C22⋊C4—1424no—
1413C2×C22⋊C4C22×D7111yescharacteristic
1414C2×C22⋊C4C22×D7111yescharacteristic
1415C2×C22⋊C4C22×D7111yescharacteristic
1416C2×C22⋊C4C22×D7111yescharacteristic
1417C2×C22⋊C4C22×D7111yescharacteristic
1418C2×C22⋊C4C22×D7111yescharacteristic
1419C2×C22⋊C4C22×D7111yescharacteristic
1420C2×C22⋊C4C22×D7111yescharacteristic
1421C2×C22⋊C4C22×D7111yescharacteristic
1422C2×C22⋊C4C22×D7111yescharacteristic
1423C2×C22⋊C4C22×D7111yescharacteristic
1424C2×C22⋊C4C22×D7111yescharacteristic, complemented
1425C2×C22⋊C4C22×D7111yescharacteristic, complemented
1426C2×C22⋊C4C22×D7111yescharacteristic, complemented
1427C2×C42—711no—
1428C2×C42—711no—
1429C2×C42—711no—
1430C2×C42—711no—
1431C2×C42—711no—
1432C2×C42—711no—
1433C2×C42—711no—
1434C2×C42—711no—
1435C2×C42—711no—
1436C2×C42C22×D7111yescharacteristic, complemented
1437C2×C42C22×D7111yescharacteristic, complemented
1438C2×C42C22×D7111yescharacteristic, complemented
1439#95—711no—
1440#95—711no—
1441#95—711no—
1442#95—711no—
1443#95—711no—
1444#95—711no—
1445#95—711no—
1446#95—711no—
1447#95—711no—
1448#95—711no—
1449#95—711no—
1450#95—711no—
1451#95—711no—
1452#95—711no—
1453#95—711no—
1454#95—711no—
1455#95—711no—
1456#95—711no—
1457#95C22×D7111yescharacteristic, complemented
1458#95C22×D7111yescharacteristic, complemented
1459#95C22×D7111yescharacteristic, complemented
1460#95C22×D7111yescharacteristic, complemented
1461#95C22×D7111yescharacteristic, complemented
1462#95C22×D7111yescharacteristic, complemented
1463C24—22no—
1464C24—22no—
1465C24—22no—
1466C24—22no—
1467C24—41no—
1468C24—41no—
1469C24—2841no—
1470C24—2841no—
1471C24—2841no—
1472C24—2841no—
1473C24—2841no—
1474C24—2841no—
1475C24—2841no—
1476C24—2841no—
1477C24—2841no—
1478C24—2841no—
1479C24—2841no—
1480C24—2841no—
1481C24—2841no—
1482C24—2841no—
1483C24—28416no—
1484C24—2841no—
1485C24—2841no—
1486C24—2841no—
1487C24—2841no—
1488C24—28416no—
1489C24—28416no—
1490C24—28416no—
1491C24—28416no—
1492C24—28416no—
1493C24—714no—
1494C24—714no—
1495C24—714no—
1496C24—714no—
1497C24—714no—
1498C24—714no—
1499C24—714no—
1500C24—714no—
1501C24—711no—
1502C24—711no—
1503C24—711no—
1504C24—714no—
1505C24—711no—
1506C24—711no—
1507C24—1422no—
1508C24—1422no—
1509C24—1422no—
1510C24—1422no—
1511C24—1422no—
1512C24—1422no—
1513C24—1422no—
1514C24—1422no—
1515C24—1422no—
1516C24—1422no—
1517C24—14232no—
1518C24—1422no—
1519C24—1422no—
1520C24—1422no—
1521C24—1422no—
1522C24—1422no—
1523C24—1422no—
1524C24—1422no—
1525C24—1422no—
1526C24—1422no—
1527C24—1422no—
1528C24—1422no—
1529C24—1422no—
1530C24C2×C4×D7114yes—
1531C24C23×D7111yescharacteristic
1532C24C23×D7111yescharacteristic
1533C24C23×D7111yescharacteristic
1534C24C23×D7111yescharacteristic
1535C2×D4—22no—
1536C2×D4—22no—
1537C2×D4—22no—
1538C2×D4—22no—
1539C2×D4—41no—
1540C2×D4—41no—
1541C2×D4—2841no—
1542C2×D4—2841no—
1543C2×D4—28416no—
1544C2×D4—28416no—
1545C2×D4—2841no—
1546C2×D4—2841no—
1547C2×D4—2841no—
1548C2×D4—2841no—
1549C2×D4—714no—
1550C2×D4—714no—
1551C2×D4—714no—
1552C2×D4—714no—
1553C2×D4—714no—
1554C2×D4—714no—
1555C2×D4—714no—
1556C2×D4—714no—
1557C2×D4—714no—
1558C2×D4—1422no—
1559C2×D4—1422no—
1560C2×D4—1422no—
1561C2×D4—1422no—
1562C2×D4—14232no—
1563C2×D4—1422no—
1564C2×D4—1422no—
1565C2×D4—1422no—
1566C2×D4—1422no—
1567C2×D4—1422no—
1568C2×D4—1422no—
1569C2×D4—1422no—
1570C2×D4—1422no—
1571C2×D4C2×C4×D7114yes—
1572C2×D4C2×C4×D7114yescomplemented
1573C2×D4C2×C4×D7114yescomplemented
1574C22×C4—22no—
1575C22×C4—22no—
1576C22×C4—22no—
1577C22×C4—22no—
1578C22×C4—22no—
1579C22×C4—22no—
1580C22×C4—22no—
1581C22×C4—41no—
1582C22×C4—41no—
1583C22×C4—41no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—41no—
1587C22×C4—41no—
1588C22×C4—41no—
1589C22×C4—2841no—
1590C22×C4—2841no—
1591C22×C4—2841no—
1592C22×C4—2841no—
1593C22×C4—2841no—
1594C22×C4—2841no—
1595C22×C4—2841no—
1596C22×C4—2841no—
1597C22×C4—2841no—
1598C22×C4—2841no—
1599C22×C4—2841no—
1600C22×C4—2841no—
1601C22×C4—2841no—
1602C22×C4—2841no—
1603C22×C4—2841no—
1604C22×C4—2841no—
1605C22×C4—2841no—
1606C22×C4—2841no—
1607C22×C4—2841no—
1608C22×C4—2841no—
1609C22×C4—28416no—
1610C22×C4—28416no—
1611C22×C4—2841no—
1612C22×C4—2841no—
1613C22×C4—2841no—
1614C22×C4—2841no—
1615C22×C4—2841no—
1616C22×C4—2841no—
1617C22×C4—2841no—
1618C22×C4—2841no—
1619C22×C4—714no—
1620C22×C4—714no—
1621C22×C4—714no—
1622C22×C4—714no—
1623C22×C4—711no—
1624C22×C4—711no—
1625C22×C4—711no—
1626C22×C4—711no—
1627C22×C4—711no—
1628C22×C4—714no—
1629C22×C4—711no—
1630C22×C4—711no—
1631C22×C4—711no—
1632C22×C4—711no—
1633C22×C4—711no—
1634C22×C4—711no—
1635C22×C4—1422no—
1636C22×C4—1422no—
1637C22×C4—1422no—
1638C22×C4—1422no—
1639C22×C4—1422no—
1640C22×C4—1422no—
1641C22×C4—1422no—
1642C22×C4—1422no—
1643C22×C4—1422no—
1644C22×C4—1422no—
1645C22×C4—1422no—
1646C22×C4—1422no—
1647C22×C4—1422no—
1648C22×C4—1422no—
1649C22×C4—1422no—
1650C22×C4—1422no—
1651C22×C4—1422no—
1652C22×C4—1422no—
1653C22×C4—1422no—
1654C22×C4—1422no—
1655C22×C4—1422no—
1656C22×C4C23×D7111yescharacteristic
1657C22×C4C23×D7111yescharacteristic
1658C22×C4C23×D7111yescharacteristic
1659C22×C4C23×D7111yescharacteristic
1660C22×C4C23×D7111yescharacteristic
1661C22×C4C23×D7111yescharacteristic
1662C22×C4C23×D7111yescharacteristic
1663C22×C4C23×D7111yescharacteristic
1664C22×C4C23×D7111yescharacteristic
1665C22×C4C23×D7111yescharacteristic
1666C22×C4C23×D7111yescharacteristic
1667C4⋊C4—22no—
1668C4⋊C4—41no—
1669C4⋊C4—41no—
1670C4⋊C4—2841no—
1671C4⋊C4—2841no—
1672C4⋊C4—2841no—
1673C4⋊C4—2841no—
1674C4⋊C4—2841no—
1675C4⋊C4—2841no—
1676C4⋊C4—1422no—
1677C4⋊C4—1422no—
1678C4⋊C4—1422no—
1679C22⋊C4—22no—
1680C22⋊C4—22no—
1681C22⋊C4—22no—
1682C22⋊C4—22no—
1683C22⋊C4—22no—
1684C22⋊C4—22no—
1685C22⋊C4—41no—
1686C22⋊C4—41no—
1687C22⋊C4—41no—
1688C22⋊C4—41no—
1689C22⋊C4—2841no—
1690C22⋊C4—2841no—
1691C22⋊C4—2841no—
1692C22⋊C4—2841no—
1693C22⋊C4—2841no—
1694C22⋊C4—2841no—
1695C22⋊C4—2841no—
1696C22⋊C4—2841no—
1697C22⋊C4—2841no—
1698C22⋊C4—2841no—
1699C22⋊C4—2841no—
1700C22⋊C4—2841no—
1701C22⋊C4—714no—
1702C22⋊C4—714no—
1703C22⋊C4—714no—
1704C22⋊C4—714no—
1705C22⋊C4—714no—
1706C22⋊C4—714no—
1707C22⋊C4—714no—
1708C22⋊C4—714no—
1709C22⋊C4—714no—
1710C22⋊C4—714no—
1711C22⋊C4—714no—
1712C22⋊C4—714no—
1713C22⋊C4—1422no—
1714C22⋊C4—1422no—
1715C22⋊C4—1422no—
1716C22⋊C4—1422no—
1717C22⋊C4—1422no—
1718C22⋊C4—1422no—
1719C22⋊C4—1422no—
1720C22⋊C4—1422no—
1721C22⋊C4—1422no—
1722C22⋊C4—1422no—
1723C22⋊C4—1422no—
1724C22⋊C4—1422no—
1725C22⋊C4—1422no—
1726C22⋊C4—1422no—
1727C22⋊C4—1422no—
1728C22⋊C4—1422no—
1729C22⋊C4—1422no—
1730C22⋊C4—1422no—
1731C22⋊C4—1422no—
1732C22⋊C4—1422no—
1733C22⋊C4—1422no—
1734C22⋊C4—1422no—
1735C22⋊C4—1422no—
1736C22⋊C4—1422no—
1737C22⋊C4—1422no—
1738C22⋊C4—1422no—
1739C22⋊C4C2×C4×D7114yes—
1740C22⋊C4C2×C4×D7114yescomplemented
1741C22⋊C4C2×C4×D7114yescomplemented
1742C22⋊C4D4×D7114yescomplemented
1743C42—22no—
1744C42—41no—
1745C42—41no—
1746C42—2841no—
1747C42—2841no—
1748C42—2841no—
1749C42—2841no—
1750C42—2841no—
1751C42—2841no—
1752C42—1422no—
1753C42—1422no—
1754C42—1422no—
1755C23—21no—
1756C23—21no—
1757C23—21no—
1758C23—21no—
1759C23—21no—
1760C23—21no—
1761C23—21no—
1762C23—21no—
1763C23—21no—
1764C23—21no—
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—21no—
1771C23—21no—
1772C23—21no—
1773C23—21no—
1774C23—21no—
1775C23—28no—
1776C23—28no—
1777C23—44no—
1778C23—44no—
1779C23—44no—
1780C23—44no—
1781C23—44no—
1782C23—2844no—
1783C23—2844no—
1784C23—2844no—
1785C23—2844no—
1786C23—2844no—
1787C23—2844no—
1788C23—2844no—
1789C23—2844no—
1790C23—2844no—
1791C23—2844no—
1792C23—2844no—
1793C23—2844no—
1794C23—2844no—
1795C23—2844no—
1796C23—2844no—
1797C23—2844no—
1798C23—2844no—
1799C23—2844no—
1800C23—2844no—
1801C23—2844no—
1802C23—2844no—
1803C23—284128no—
1804C23—2844no—
1805C23—2844no—
1806C23—2844no—
1807C23—2844no—
1808C23—2844no—
1809C23—2844no—
1810C23—2844no—
1811C23—2844no—
1812C23—5682no—
1813C23—5682no—
1814C23—5682no—
1815C23—5682no—
1816C23—7116no—
1817C23—712no—
1818C23—712no—
1819C23—712no—
1820C23—712no—
1821C23—712no—
1822C23—712no—
1823C23—712no—
1824C23—712no—
1825C23—712no—
1826C23—712no—
1827C23—712no—
1828C23—1428no—
1829C23—1428no—
1830C23—1428no—
1831C23—1428no—
1832C23—1428no—
1833C23—1428no—
1834C23—1428no—
1835C23—1428no—
1836C23—1428no—
1837C23—1428no—
1838C23—1428no—
1839C23—1428no—
1840C23—1421no—
1841C23—1421no—
1842C23—1421no—
1843C23—1421no—
1844C23—1421no—
1845C23—1421no—
1846C23—1421no—
1847C23—1421no—
1848C23—1421no—
1849C23—1421no—
1850C23—1421no—
1851C23—1421no—
1852C23—1428no—
1853C23—1428no—
1854C23—1421no—
1855C23—1421no—
1856C23—1421no—
1857C23—1421no—
1858C23—1421no—
1859C23—1421no—
1860C23—1421no—
1861C23—1421no—
1862C23—1421no—
1863C23—1421no—
1864C23—1421no—
1865C23—1421no—
1866C23—1428no—
1867C23C22×C4×D7112yes—
1868C23C22×C4×D7112yes—
1869C23C22×C4×D7112yes—
1870C23C22×C4×D7112yes—
1871C23C2×D4×D7112yes—
1872C23#41×D7112yes—
1873C23#1455617312yes—
1874C23#1455617412yes—
1875C23C24×D7111yescharacteristic
1876D4—28no—
1877D4—28no—
1878D4—44no—
1879D4—2844no—
1880D4—2844no—
1881D4—2844no—
1882D4—1428no—
1883D4—1428no—
1884D4—1428no—
1885D4—1428no—
1886D4—1428no—
1887D4—1428no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—21no—
1902C2×C4—21no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—21no—
1906C2×C4—21no—
1907C2×C4—21no—
1908C2×C4—21no—
1909C2×C4—21no—
1910C2×C4—21no—
1911C2×C4—21no—
1912C2×C4—21no—
1913C2×C4—21no—
1914C2×C4—21no—
1915C2×C4—21no—
1916C2×C4—44no—
1917C2×C4—44no—
1918C2×C4—82no—
1919C2×C4—82no—
1920C2×C4—82no—
1921C2×C4—2844no—
1922C2×C4—2844no—
1923C2×C4—2844no—
1924C2×C4—2844no—
1925C2×C4—2844no—
1926C2×C4—2844no—
1927C2×C4—2844no—
1928C2×C4—2844no—
1929C2×C4—2844no—
1930C2×C4—2844no—
1931C2×C4—2844no—
1932C2×C4—2844no—
1933C2×C4—5682no—
1934C2×C4—5682no—
1935C2×C4—5682no—
1936C2×C4—5682no—
1937C2×C4—5682no—
1938C2×C4—712no—
1939C2×C4—712no—
1940C2×C4—712no—
1941C2×C4—712no—
1942C2×C4—712no—
1943C2×C4—1428no—
1944C2×C4—1421no—
1945C2×C4—1421no—
1946C2×C4—1421no—
1947C2×C4—1421no—
1948C2×C4—1421no—
1949C2×C4—1421no—
1950C2×C4—1421no—
1951C2×C4—1421no—
1952C2×C4—1421no—
1953C2×C4—1421no—
1954C2×C4—1421no—
1955C2×C4—1421no—
1956C2×C4—1421no—
1957C2×C4—1421no—
1958C2×C4—1421no—
1959C2×C4—1421no—
1960C2×C4—1421no—
1961C2×C4—1421no—
1962C2×C4—1421no—
1963C2×C4—1421no—
1964C2×C4—1421no—
1965C2×C4—1421no—
1966C2×C4—1421no—
1967C2×C4—1421no—
1968C2×C4—1421no—
1969C2×C4—1421no—
1970C2×C4—1421no—
1971C2×C4—1421no—
1972C2×C4C22×C4×D7112yes—
1973C2×C4C22×C4×D7112yes—
1974C2×C4C22×C4×D7112yes—
1975C2×C4C2×D4×D7112yes—
1976C2×C4C2×D4×D7112yes—
1977C22—22no—
1978C22—22no—
1979C22—22no—
1980C22—22no—
1981C22—22no—
1982C22—22no—
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—416no—
1996C22—41no—
1997C22—41no—
1998C22—41no—
1999C22—41no—
2000C22—41no—
2001C22—41no—
2002C22—41no—
2003C22—41no—
2004C22—28416no—
2005C22—28416no—
2006C22—28416no—
2007C22—28416no—
2008C22—28416no—
2009C22—2841no—
2010C22—2841no—
2011C22—2841no—
2012C22—2841no—
2013C22—2841no—
2014C22—2841no—
2015C22—2841no—
2016C22—2841no—
2017C22—5688no—
2018C22—714no—
2019C22—714no—
2020C22—714no—
2021C22—14232no—
2022C22—1422no—
2023C22—1422no—
2024C22—1422no—
2025C22—1422no—
2026C22—1422no—
2027C22—1422no—
2028C22—1422no—
2029C22—1422no—
2030C22—1422no—
2031C22—1422no—
2032C22—1422no—
2033C22—1422no—
2034C22—1422no—
2035C22—1422no—
2036C22—1422no—
2037C22—1422no—
2038C22—1422no—
2039C22—1422no—
2040C22—1422no—
2041C22—1422no—
2042C22—1422no—
2043C22—1422no—
2044C22—1422no—
2045C22—1422no—
2046C22C4×D4×D7114yes—
2047C22#1798647114yescomplemented
2048C22C23×C4×D7111yescharacteristic
2049C22C22×D4×D7111yescharacteristic
2050C22C2×#41×D7111yescharacteristic
2051C22H(5,𝔽2)×D7111yescharacteristic
2052C22H(5,𝔽2)×D7111yescharacteristic
2053C22C2×#1455617311yescharacteristic
2054C22C2×#1455617411yescharacteristic
2055C4—22no—
2056C4—22no—
2057C4—22no—
2058C4—22no—
2059C4—22no—
2060C4—41no—
2061C4—41no—
2062C4—41no—
2063C4—41no—
2064C4—41no—
2065C4—41no—
2066C4—2841no—
2067C4—2841no—
2068C4—2841no—
2069C4—2841no—
2070C4—2841no—
2071C4—2841no—
2072C4—1422no—
2073C4—1422no—
2074C4—1422no—
2075C4—1422no—
2076C4—1422no—
2077C2—24no—
2078C2—24no—
2079C2—42no—
2080C2—42no—
2081C2—2842no—
2082C2—2842no—
2083C2—1424no—
2084C2—1424no—
2085C2—1424no—
2086C2C2×C4×D4×D7111yescharacteristic
2087C2#518×D7111yescharacteristic
2088C2C2×#1798647111yescharacteristic
2089C2#2260196811yescharacteristic
2090C2#2260197011yescharacteristic
2091C2#2260202211yescharacteristic
2092C2#2260202411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D71
commutatorC22×C71C24×C4
FittingC71×#2358C2
socle, cosocleC23×C71C25
prime radicalC2×#120×D71C2
hypercenter#2358D71
hypocenterC71#34198
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. C2×#17986471C2semidirect
3. C22×C22⋊C4×D71C2semidirect
4. #22591324C2semidirect
5. #22591322C2semidirect
6. #22591320C2semidirect
7. #22591319C2semidirect
8. #22591319C2semidirect
9. #22591317C2semidirect
10. #22591316C2semidirect
11. #22591188C2semidirect
12. #22591187C2semidirect
13. #22591184C2semidirect
14. #22591183C2semidirect
15. #22591161C2semidirect
16. #22591158C2semidirect
17. #22591158C2semidirect
18. D4×(C2×D71)⋊C4C2semidirect
19. #22591002C2semidirect
20. #22590999C2semidirect
21. #22590996C2semidirect
22. #22590993C2semidirect
23. #22590951C2semidirect
24. #22590914C2semidirect
25. #22590845C2semidirect
26. C4×#14556098C2semidirect
27. #22590841C2semidirect
28. C4×#14556096C2semidirect
29. C2×#17985854C2semidirect
30. #22590692C2semidirect
31. C71×#2358C2semidirect
36. C23×C4×D71C22semidirect
37. C23×C4×D71C22semidirect
45. #120×D71C4semidirect
47. C2×C4×D284C22semidirect
48. C2×C4×D284C22semidirect
49. C2×D4×Dic71C22semidirect
50. C2×D4×Dic71C22semidirect
51. C2×#14556090C22semidirect
52. C2×#14556090C22semidirect
53. C2×C4×C22⋊D71C22semidirect
54. C2×C4×C22⋊D71C22semidirect
55. C2×C4×C22⋊D71C22semidirect
56. C2×C4×C22⋊D71C22semidirect
57. C2×(C22⋊D71)⋊C4C22semidirect
58. C2×(C22⋊D71)⋊C4C22semidirect
59. C2×(C22⋊D71)⋊C4C22semidirect
60. C2×(C22⋊D71)⋊C4C22semidirect
61. C2×#14556086C22semidirect
62. C2×#14556085C22semidirect
63. C22×C22⋊Dic71C22semidirect
64. C22×C22⋊Dic71C22semidirect
69. C22×(C2×D71)⋊C4C22semidirect
70. C22×(C2×D71)⋊C4C22semidirect
71. C22×(C2×D71)⋊C4C22semidirect
80. C2×C22⋊C4×D71C22semidirect
81. C2×C22⋊C4×D71C22semidirect
82. C2×C22⋊C4×D71C22semidirect
83. C2×C22⋊C4×D71C22semidirect
84. C2×C22⋊C4×D71C22semidirect
85. #17985902C22semidirect
86. #17985901C22semidirect
87. #17985900C22semidirect
88. #17985899C22semidirect
89. #17985899C22semidirect
90. #17985899C22semidirect
91. #17985899C22semidirect
92. #17985893C22semidirect
93. #17985893C22semidirect
94. #17985892C22semidirect
95. #17985892C22semidirect
96. #17985891C22semidirect
97. #17985891C22semidirect
98. #17985890C22semidirect
99. #17985890C22semidirect
100. #17985889C22semidirect
101. #17985889C22semidirect
102. #17985888C22semidirect
103. #17985888C22semidirect
104. #17985887C22semidirect
105. #17985887C22semidirect
106. #17985879C22semidirect
107. #17985879C22semidirect
108. #17985879C22semidirect
109. #17985878C22semidirect
110. #17985878C22semidirect
111. #17985878C22semidirect
112. #17985877C22semidirect
113. #17985877C22semidirect
114. #17985877C22semidirect
115. #17985877C22semidirect
116. #17985877C22semidirect
117. #17985877C22semidirect
118. #17985876C22semidirect
119. #17985876C22semidirect
120. #17985876C22semidirect
121. #17985875C22semidirect
122. #17985875C22semidirect
123. #17985875C22semidirect
124. #17985875C22semidirect
125. #17985875C22semidirect
126. #17985875C22semidirect
127. #17985874C22semidirect
128. #17985874C22semidirect
129. #17985873C22semidirect
130. #17985873C22semidirect
131. #17985873C22semidirect
132. #17985873C22semidirect
133. #17985872C22semidirect
134. #17985872C22semidirect
135. #17985871C22semidirect
136. #17985871C22semidirect
137. #17985870C22semidirect
138. #17985870C22semidirect
139. #17985870C22semidirect
140. #17985870C22semidirect
141. #17985861C22semidirect
142. #17985861C22semidirect
143. #17985858C22semidirect
144. #17985858C22semidirect
145. #17985856C22semidirect
146. #17985856C22semidirect
151. #17985854C22semidirect
152. #17985854C22semidirect
153. #17985854C22semidirect
154. #17985854C22semidirect
155. #17985854C22semidirect
156. #17985854C22semidirect
157. C22⋊C4×Dic71C22semidirect
158. C22⋊C4×Dic71C22semidirect
159. C22⋊C4×Dic71C22semidirect
160. C22⋊C4×Dic71C22semidirect
161. C4×(C2×D71)⋊C4C22semidirect
162. C4×(C2×D71)⋊C4C22semidirect
163. C4×(C2×D71)⋊C4C22semidirect
164. C4×(C2×D71)⋊C4C22semidirect
165. C4×(C2×D71)⋊C4C22semidirect
166. C4×(C2×D71)⋊C4C22semidirect
167. C4×C22⋊Dic71C22semidirect
168. C4×C22⋊Dic71C22semidirect
169. #17985846C22semidirect
170. #17985846C22semidirect
171. #17985846C22semidirect
172. #17985846C22semidirect
173. #17985846C22semidirect
174. #17985846C22semidirect
176. C2×C4×D4×C71C22semidirect
177. C2×C4×D4×C71C22semidirect
178. C22×C22⋊C4×C71C22semidirect
179. C22×C22⋊C4×C71C22semidirect
180. #390×C71C22semidirect
181. #388×C71C22semidirect
182. #388×C71C22semidirect
183. #386×C71C22semidirect
184. #386×C71C22semidirect
185. #386×C71C22semidirect
186. #385×C71C22semidirect
187. #385×C71C22semidirect
188. C4×C22⋊C4×C71C22semidirect
189. C4×C22⋊C4×C71C22semidirect
196. C24×D71C2×C4semidirect
219. C2×D4×D71C2×C4semidirect
220. C2×D4×D71C2×C4semidirect
221. C2×D4×D71C2×C4semidirect
226. C23×Dic71C23semidirect
244. C22×C4×D71C23semidirect
245. C22×C4×D71C23semidirect
246. #14556098C2×C4semidirect
247. #14556098C2×C4semidirect
248. #14556098C2×C4semidirect
249. #14556097C2×C4semidirect
250. #14556096C2×C4semidirect
251. #14556096C2×C4semidirect
252. #14556096C2×C4semidirect
269. C2×C4⋊Dic71C23semidirect
270. C2×C4⋊Dic71C23semidirect
271. C2×C4⋊Dic71C23semidirect
272. C2×Dic71⋊C4C23semidirect
273. C2×Dic71⋊C4C23semidirect
274. C2×Dic71⋊C4C23semidirect
275. C2×Dic71⋊C4C23semidirect
276. C2×Dic71⋊C4C23semidirect
277. C2×Dic71⋊C4C23semidirect
291. C2×C22⋊Dic71C23semidirect
292. C2×C22⋊Dic71C23semidirect
293. C2×C22⋊Dic71C23semidirect
331. C2×(C2×D71)⋊C4C23semidirect
332. C2×(C2×D71)⋊C4C23semidirect
333. C2×(C2×D71)⋊C4C23semidirect
334. C2×(C2×D71)⋊C4C23semidirect
335. C2×(C2×D71)⋊C4C23semidirect
336. C2×(C2×D71)⋊C4C23semidirect
345. C22⋊C4×D71C2×C4semidirect
346. C22⋊C4×D71C2×C4semidirect
347. C22⋊C4×D71C2×C4semidirect
348. C22⋊C4×D71D4semidirect
349. C2×C4×Dic71C23semidirect
350. C2×C4×Dic71C23semidirect
351. C2×C4×Dic71C23semidirect
352. C2×C4×Dic71C23semidirect
353. C2×C4×Dic71C23semidirect
354. C2×C4×Dic71C23semidirect
355. C2×C4×Dic71C23semidirect
356. C2×C4×Dic71C23semidirect
357. C2×C4×Dic71C23semidirect
358. C71⋊#95C23semidirect
359. C71⋊#95C23semidirect
360. C71⋊#95C23semidirect
361. C71⋊#95C23semidirect
362. C71⋊#95C23semidirect
363. C71⋊#95C23semidirect
364. C71⋊#95C23semidirect
365. C71⋊#95C23semidirect
366. C71⋊#95C23semidirect
367. C71⋊#95C23semidirect
368. C71⋊#95C23semidirect
369. C71⋊#95C23semidirect
370. C71⋊#95C23semidirect
371. C71⋊#95C23semidirect
372. C71⋊#95C23semidirect
373. C71⋊#95C23semidirect
374. C71⋊#95C23semidirect
375. C71⋊#95C23semidirect
384. C23×C4×C71C23semidirect
385. #120×C71C2×C4semidirect
388. C2×C4⋊C4×C71C23semidirect
389. C2×C4⋊C4×C71C23semidirect
390. C2×C4⋊C4×C71C23semidirect
404. C2×C22⋊C4×C71C23semidirect
405. C2×C22⋊C4×C71C23semidirect
406. C2×C22⋊C4×C71C23semidirect
407. C2×C42×C71C23semidirect
408. C2×C42×C71C23semidirect
409. C2×C42×C71C23semidirect
410. #95×C71C23semidirect
411. #95×C71C23semidirect
412. #95×C71C23semidirect
413. #95×C71C23semidirect
414. #95×C71C23semidirect
415. #95×C71C23semidirect
469. C23×D71C22×C4semidirect
485. C2×D284C22×C4semidirect
501. C2×C22⋊D71C22×C4semidirect
502. C2×C22⋊D71C22×C4semidirect
503. C2×C22⋊D71C22×C4semidirect
569. C2×C4×D71C22×C4semidirect
570. C2×C4×D71C22×C4semidirect
571. C2×C4×D71C22×C4semidirect
572. C2×C4×D71C2×D4semidirect
573. C2×C4×D71C2×D4semidirect
594. C22⋊Dic71C22×C4semidirect
595. C22⋊Dic71C22×C4semidirect
596. C22⋊Dic71C2×D4semidirect
629. (C2×D71)⋊C4C22×C4semidirect
630. (C2×D71)⋊C4C22×C4semidirect
660. C2×D4×C71C22×C4semidirect
661. C2×D4×C71C22×C4semidirect
702. C22⋊C4×C71C22×C4semidirect
703. C22⋊C4×C71C22×C4semidirect
704. C22⋊C4×C71C2×D4semidirect
817. C22×D71C4×D4semidirect
958. C22×C71#518semidirect
1007. C2×D71#518semidirect
1057. #2358D71semidirect
1078. C71#34198semidirect
1109. C2×C4×D4C2×D71semidirect
1110. C2×C4×D4C2×D71semidirect
1135. C22×C22⋊C4C2×D71semidirect
1136. C22×C22⋊C4C2×D71semidirect
1144. #390C2×D71semidirect
1159. #388C2×D71semidirect
1160. #388C2×D71semidirect
1182. #386C2×D71semidirect
1183. #386C2×D71semidirect
1184. #386C2×D71semidirect
1199. #385C2×D71semidirect
1200. #385C2×D71semidirect
1235. C4×C22⋊C4C2×D71semidirect
1236. C4×C22⋊C4C2×D71semidirect
1301. C23×C4C22×D71semidirect
1309. #120C4×D71semidirect
1337. C2×C4⋊C4C22×D71semidirect
1338. C2×C4⋊C4C22×D71semidirect
1339. C2×C4⋊C4C22×D71semidirect
1424. C2×C22⋊C4C22×D71semidirect
1425. C2×C22⋊C4C22×D71semidirect
1426. C2×C22⋊C4C22×D71semidirect
1436. C2×C42C22×D71semidirect
1437. C2×C42C22×D71semidirect
1438. C2×C42C22×D71semidirect
1457. #95C22×D71semidirect
1458. #95C22×D71semidirect
1459. #95C22×D71semidirect
1460. #95C22×D71semidirect
1461. #95C22×D71semidirect
1462. #95C22×D71semidirect
1572. C2×D4C2×C4×D71semidirect
1573. C2×D4C2×C4×D71semidirect
1740. C22⋊C4C2×C4×D71semidirect
1741. C22⋊C4C2×C4×D71semidirect
1742. C22⋊C4D4×D71semidirect
2047. C22#17986471semidirect

Maximal subgroups

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

subgroupindex
C2×#120×D712
C2×#179864712
C22×C22⋊C4×D712
#225913242
#225913222
#225913202
#225913192
#225913172
#225913162
#225911882
#225911872
#225911842
#225911832
#225911612
#225911582
D4×(C2×D71)⋊C42
#225910022
#225909992
#225909962
#225909932
#225909512
#225909142
#225908452
C4×#145560982
#225908412
C4×#145560962
C2×#179858542
#225906922
C71×#23582
#3419871