Finite Group Databasebeta

← #32170247

Subgroups — #32170247

Order 18176.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22596669C211yesmaximal, characteristic, complemented
2#22596659C211yesmaximal, characteristic, complemented
3#22596653C211yesmaximal, characteristic, complemented
4#22596637C211yesmaximal, characteristic, complemented
5#22594398C211yesmaximal, characteristic, complemented
6#22594336C211yesmaximal, characteristic, complemented
7#22594323C211yesmaximal, characteristic, complemented
8#22594321C211yesmaximal, characteristic, complemented
9#22592999C211yesmaximal, characteristic, complemented
10#22592993C211yesmaximal, characteristic, complemented
11#22592906C211yesmaximal, characteristic, complemented
12#22592898C211yesmaximal, characteristic, complemented
13#22592839C211yesmaximal, characteristic, complemented
14#22592670C211yesmaximal, characteristic, complemented
15#22592583C211yesmaximal, characteristic, complemented
16#22592463C211yesmaximal, characteristic, complemented
17#22592392C211yesmaximal, characteristic, complemented
18#22592278C211yesmaximal, characteristic, complemented
19#22592096C211yesmaximal, characteristic, complemented
20#22592006C211yesmaximal, characteristic, complemented
21#22591887C211yesmaximal, characteristic, complemented
22#22591736C211yesmaximal, characteristic, complemented
23#22591714C211yesmaximal, characteristic
24#22591071C211yesmaximal, characteristic, complemented
25#22590995C211yesmaximal, characteristic, complemented
26#22590968C211yesmaximal, characteristic, complemented
27#22590936C211yesmaximal, characteristic, complemented
28#22590839C211yesmaximal, characteristic, complemented
29C2×#17985879C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic71C211yesmaximal, characteristic, complemented
31C71×#2405C211yesmaximal, characteristic, complemented
32C24×Dic71C2211yescharacteristic
33C2×#14556121C2211yescharacteristic, complemented
34C2×#14556114C2211yescharacteristic, complemented
35C2×#14556111C2211yescharacteristic, complemented
36C2×#14556105C2211yescharacteristic
37C2×#14556105C2211yescharacteristic, complemented
38C2×#14556100C2211yescharacteristic
39C2×#14556100C2211yescharacteristic
40C2×#14556097C2211yescharacteristic
41C2×#14556097C2211yescharacteristic
42C2×(C22⋊D71)⋊C4C2211yescharacteristic
43C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
44C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
45C22×C22⋊Dic71C2211yescharacteristic
46C22×C22⋊Dic71C2211yescharacteristic
47C22×C22⋊Dic71C2211yescharacteristic
48C22×C22⋊Dic71C2211yescharacteristic
49C22×C4×Dic71C2211yescharacteristic, complemented
50C22×C4×Dic71C2211yescharacteristic, complemented
51C71⋊#401C2211yescharacteristic, complemented
52#17985940C2211yescharacteristic, complemented
53#17985940C2211yescharacteristic, complemented
54#17985937C2211yescharacteristic, complemented
55#17985937C2211yescharacteristic, complemented
56#17985935C2211yescharacteristic, complemented
57#17985930C2211yescharacteristic, complemented
58#17985928C2211yescharacteristic, complemented
59#17985927C2211yescharacteristic, complemented
60#17985927C2211yescharacteristic, complemented
61#17985927C2211yescharacteristic, complemented
62#17985927C2211yescharacteristic, complemented
63#17985927C2211yescharacteristic, complemented
64#17985925C2211yescharacteristic, complemented
65#17985924C2211yescharacteristic, complemented
66#17985922C2211yescharacteristic, complemented
67#17985922C2211yescharacteristic, complemented
68#17985922C2211yescharacteristic, complemented
69#17985915C2211yescharacteristic, complemented
70#17985914C2211yescharacteristic, complemented
71#17985914C2211yescharacteristic, complemented
72#17985914C2211yescharacteristic, complemented
73#17985913C2211yescharacteristic
74#17985913C2211yescharacteristic
75#17985911C2211yescharacteristic, complemented
76#17985911C2211yescharacteristic, complemented
77#17985907C2211yescharacteristic
78#17985907C2211yescharacteristic
79#17985904C2211yescharacteristic, complemented
80#17985903C2211yescharacteristic, complemented
81#17985899C2211yescharacteristic, complemented
82#17985899C2211yescharacteristic, complemented
83#17985899C2211yescharacteristic, complemented
84#17985895C2211yescharacteristic, complemented
85#17985894C2211yescharacteristic, complemented
86#17985894C2211yescharacteristic, complemented
87#17985893C2211yescharacteristic, complemented
88#17985893C2211yescharacteristic, complemented
89#17985893C2211yescharacteristic, complemented
90#17985893C2211yescharacteristic, complemented
91#17985893C2211yescharacteristic, complemented
92#17985893C2211yescharacteristic, complemented
93#17985893C2211yescharacteristic, complemented
94#17985892C2211yescharacteristic, complemented
95#17985892C2211yescharacteristic, complemented
96#17985891C2211yescharacteristic, complemented
97#17985889C2211yescharacteristic, complemented
98#17985889C2211yescharacteristic, complemented
99#17985888C2211yescharacteristic, complemented
100#17985887C2211yescharacteristic, complemented
101#17985887C2211yescharacteristic, complemented
102#17985887C2211yescharacteristic, complemented
103#17985887C2211yescharacteristic, complemented
104#17985887C2211yescharacteristic, complemented
105#17985887C2211yescharacteristic, complemented
106#17985887C2211yescharacteristic, complemented
107#17985887C2211yescharacteristic, complemented
108#17985886C2211yescharacteristic, complemented
109#17985884C2211yescharacteristic, complemented
110#17985881C2211yescharacteristic, complemented
111#17985881C2211yescharacteristic, complemented
112#17985881C2211yescharacteristic, complemented
113#17985880C2211yescharacteristic, complemented
114#17985880C2211yescharacteristic, complemented
115#17985880C2211yescharacteristic, complemented
116#17985880C2211yescharacteristic, complemented
117#17985879C2211yescharacteristic
118#17985879C2211yescharacteristic
119#17985879C2211yescharacteristic
120#17985879C2211yescharacteristic
121#17985879C2211yescharacteristic
122#17985879C2211yescharacteristic
123#17985879C2211yescharacteristic
124#17985879C2211yescharacteristic
125#17985879C2211yescharacteristic
126#17985879C2211yescharacteristic
127#17985878C2211yescharacteristic
128#17985878C2211yescharacteristic, complemented
129#17985876C2211yescharacteristic
130#17985876C2211yescharacteristic
131#17985876C2211yescharacteristic
132#17985876C2211yescharacteristic, complemented
133#17985876C2211yescharacteristic, complemented
134#17985875C2211yescharacteristic, complemented
135#17985875C2211yescharacteristic, complemented
136#17985874C2211yescharacteristic
137#17985874C2211yescharacteristic, complemented
138#17985872C2211yescharacteristic
139#17985872C2211yescharacteristic, complemented
140#17985871C2211yescharacteristic
141#17985871C2211yescharacteristic
142#17985871C2211yescharacteristic, complemented
143#17985871C2211yescharacteristic, complemented
144#17985871C2211yescharacteristic, complemented
145#17985866C2211yescharacteristic, complemented
146#17985866C2211yescharacteristic, complemented
147#17985864C2211yescharacteristic, complemented
148#17985863C2211yescharacteristic, complemented
149#17985862C2211yescharacteristic, complemented
150#17985861C2211yescharacteristic, complemented
151#17985857C2211yescharacteristic
152#17985857C2211yescharacteristic
153#17985857C2211yescharacteristic
154#17985857C2211yescharacteristic, complemented
155#17985856C2211yescharacteristic, complemented
156#17985855C2211yescharacteristic
157C22⋊C4×Dic71C2211yescharacteristic
158C22⋊C4×Dic71C2211yescharacteristic
159C22⋊C4×Dic71C2211yescharacteristic
160C22⋊C4×Dic71C2211yescharacteristic
161C22⋊C4×Dic71C2211yescharacteristic
162C22⋊C4×Dic71C2211yescharacteristic, complemented
163C22⋊C4×Dic71C2211yescharacteristic, complemented
164C22⋊C4×Dic71C2211yescharacteristic, complemented
165C22⋊C4×Dic71C2211yescharacteristic, complemented
166C22⋊C4×Dic71C2211yescharacteristic, complemented
167C22⋊C4×Dic71C2211yescharacteristic, complemented
168C2×C71⋊#95C2211yescharacteristic
169C2×C71⋊#95C2211yescharacteristic
170C2×C71⋊#95C2211yescharacteristic, complemented
171C2×C71⋊#95C2211yescharacteristic, complemented
172C23×D4×C71C2211yescharacteristic
173C2×#123×C71C2211yescharacteristic
174C2×#123×C71C2211yescharacteristic
175C22×C22⋊C4×C71C2211yescharacteristic
176#394×C71C2211yescharacteristic
177#394×C71C2211yescharacteristic
178#394×C71C2211yescharacteristic
179#394×C71C2211yescharacteristic
180#386×C71C2211yescharacteristic
181#386×C71C2211yescharacteristic
182#385×C71C2211yescharacteristic
183#385×C71C2211yescharacteristic
184#379×C71C2211yescharacteristic
185#379×C71C2211yescharacteristic
186#379×C71C2211yescharacteristic
187C22×Dic142C2311yescharacteristic
188C22×C22⋊D71C2311yescharacteristic
189C22×C22⋊D71C2311yescharacteristic
190C22×C22⋊D71C2311yescharacteristic
191C22×C22⋊D71C2311yescharacteristic
192C22×C22⋊D71C2311yescharacteristic
193C23×Dic71—24no—
194C23×Dic71—42no—
195C23×Dic71—42no—
196C23×Dic71C2311yescharacteristic
197C23×Dic71C2311yescharacteristic
198C23×Dic71C2311yescharacteristic
199C23×Dic71C2311yescharacteristic
200C23×Dic71C2311yescharacteristic
201C23×Dic71C2311yescharacteristic
202C23×Dic71C2311yescharacteristic
203C23×Dic71C2311yescharacteristic
204C23×Dic71C2311yescharacteristic
205C23×Dic71C2311yescharacteristic
206C22×C4×D71C2311yescharacteristic
207#14556121—42no—
208#14556114—42no—
209#14556111—42no—
210#14556105—24no—
211#14556105—42no—
212#14556100—42no—
213#14556100—42no—
214#14556097—24no—
215#14556097—24no—
216(C22⋊D71)⋊C4—24no—
217(C22⋊D71)⋊C4—42no—
218(C22⋊D71)⋊C4—42no—
219C2×C4⋊Dic71C2311yescharacteristic
220C2×C4⋊Dic71C2311yescharacteristic
221C2×C4⋊Dic71C2311yescharacteristic
222C2×Dic71⋊C4C2311yescharacteristic
223C2×Dic71⋊C4C2311yescharacteristic
224C2×Dic71⋊C4C2311yescharacteristic
225C2×Dic71⋊C4C2311yescharacteristic
226C2×Dic71⋊C4C2311yescharacteristic
227C2×Dic71⋊C4C2311yescharacteristic
228C2×Dic71⋊C4C2311yescharacteristic
229C2×Dic71⋊C4C2311yescharacteristic
230C2×Dic71⋊C4C2311yescharacteristic
231C2×Dic71⋊C4C2311yescharacteristic
232C2×Dic71⋊C4C2311yescharacteristic
233C2×Dic71⋊C4C2311yescharacteristic
234C2×Dic71⋊C4C2311yescharacteristic
235C2×Dic71⋊C4C2311yescharacteristic
236C2×Dic71⋊C4C2311yescharacteristic
237C2×C22⋊Dic71—24no—
238C2×C22⋊Dic71—24no—
239C2×C22⋊Dic71—42no—
240C2×C22⋊Dic71—42no—
241C2×C22⋊Dic71C2311yescharacteristic
242C2×C22⋊Dic71C2311yescharacteristic
243C2×C22⋊Dic71C2311yescharacteristic
244C2×C22⋊Dic71C2311yescharacteristic
245C2×C22⋊Dic71C2311yescharacteristic
246C2×C22⋊Dic71C2311yescharacteristic
247C2×C22⋊Dic71C2311yescharacteristic
248C2×C22⋊Dic71C2311yescharacteristic
249C2×C22⋊Dic71C2311yescharacteristic
250C2×C22⋊Dic71C2311yescharacteristic
251C2×C22⋊Dic71C2311yescharacteristic
252C2×C22⋊Dic71C2311yescharacteristic
253C2×C22⋊Dic71C2311yescharacteristic
254C2×C22⋊Dic71C2311yescharacteristic
255C2×C22⋊Dic71C2311yescharacteristic
256C2×C22⋊Dic71C2311yescharacteristic
257C2×C22⋊Dic71C2311yescharacteristic
258C2×C22⋊Dic71C2311yescharacteristic
259C2×C22⋊Dic71C2311yescharacteristic
260C2×C22⋊Dic71C2311yescharacteristic
261C2×C22⋊Dic71C2311yescharacteristic
262C2×C22⋊Dic71C2311yescharacteristic
263C2×C22⋊Dic71C2311yescharacteristic
264C2×C22⋊Dic71C2311yescharacteristic
265C2×C22⋊Dic71C2311yescharacteristic
266C2×(C2×D71)⋊C4C2311yescharacteristic
267C2×(C2×D71)⋊C4C2311yescharacteristic
268C2×(C2×D71)⋊C4C2311yescharacteristic
269C2×(C2×D71)⋊C4C2311yescharacteristic
270C2×(C2×D71)⋊C4C2311yescharacteristic
271C2×(C2×D71)⋊C4C2311yescharacteristic
272C2×(C2×D71)⋊C4C2311yescharacteristic
273C2×(C2×D71)⋊C4C2311yescharacteristic
274C2×(C2×D71)⋊C4C2311yescharacteristic
275C2×C4×Dic71—42no—
276C2×C4×Dic71—42no—
277C2×C4×Dic71C2311yescharacteristic
278C2×C4×Dic71C2311yescharacteristic
279C2×C4×Dic71C2311yescharacteristic
280C2×C4×Dic71C2311yescharacteristic
281C2×C4×Dic71C2311yescharacteristic
282C2×C4×Dic71C2311yescharacteristic
283C2×C4×Dic71C2311yescharacteristic
284C2×C4×Dic71C2311yescharacteristic
285C2×C4×Dic71C2311yescharacteristic
286C2×C4×Dic71C2311yescharacteristic
287C2×C4×Dic71C2311yescharacteristic
288C71⋊#95C2311yescharacteristic
289C71⋊#95C2311yescharacteristic
290C71⋊#95C2311yescharacteristic
291C71⋊#95C2311yescharacteristic
292C71⋊#95C2311yescharacteristic
293C71⋊#95C2311yescharacteristic
294C71⋊#95C2311yescharacteristic
295C71⋊#95C2311yescharacteristic
296C71⋊#95C2311yescharacteristic
297C71⋊#95C2311yescharacteristic
298C71⋊#95C2311yescharacteristic
299C71⋊#95C2311yescharacteristic
300C71⋊#95C2311yescharacteristic
301C71⋊#95C2311yescharacteristic
302C71⋊#95C2311yescharacteristic
303C71⋊#95C2311yescharacteristic
304C71⋊#95C2311yescharacteristic
305C71⋊#95C2311yescharacteristic
306C71⋊#95C2311yescharacteristic
307C71⋊#95C2311yescharacteristic
308C71⋊#95C2311yescharacteristic
309C71⋊#95C2311yescharacteristic
310C71⋊#95C2311yescharacteristic
311C71⋊#95C2311yescharacteristic
312C71⋊#95C2311yescharacteristic
313C71⋊#95C2311yescharacteristic
314C71⋊#95C2311yescharacteristic
315C71⋊#95C2311yescharacteristic
316C71⋊#95C2311yescharacteristic
317C71⋊#95C2311yescharacteristic
318C71⋊#95C2311yescharacteristic
319C71⋊#95C2311yescharacteristic
320C71⋊#95C2311yescharacteristic
321C71⋊#95C2311yescharacteristic
322C71⋊#95C2311yescharacteristic
323C71⋊#95C2311yescharacteristic
324C71⋊#95C2311yescharacteristic
325C71⋊#95C2311yescharacteristic
326C71⋊#95C2311yescharacteristic
327C71⋊#95C2311yescharacteristic
328C25×C71C2311yescharacteristic
329C25×C71C2311yescharacteristic
330C22×D4×C71—24no—
331C22×D4×C71—42no—
332C22×D4×C71—42no—
333C22×D4×C71C2311yescharacteristic
334C22×D4×C71C2311yescharacteristic
335C22×D4×C71C2311yescharacteristic
336C22×D4×C71C2311yescharacteristic
337C23×C4×C71C2311yescharacteristic
338C23×C4×C71C2311yescharacteristic
339C23×C4×C71C2311yescharacteristic
340#123×C71—42no—
341#123×C71—42no—
342C2×C4⋊C4×C71C2311yescharacteristic
343C2×C4⋊C4×C71C2311yescharacteristic
344C2×C4⋊C4×C71C2311yescharacteristic
345C2×C4⋊C4×C71C2311yescharacteristic
346C2×C22⋊C4×C71—24no—
347C2×C22⋊C4×C71C2311yescharacteristic
348C2×C22⋊C4×C71C2311yescharacteristic
349C2×C22⋊C4×C71C2311yescharacteristic
350C2×C22⋊C4×C71C2311yescharacteristic
351C2×C22⋊C4×C71C2311yescharacteristic
352C2×C22⋊C4×C71C2311yescharacteristic
353C2×C22⋊C4×C71C2311yescharacteristic
354C2×C22⋊C4×C71C2311yescharacteristic
355C2×C22⋊C4×C71C2311yescharacteristic
356C2×C22⋊C4×C71C2311yescharacteristic
357C2×C22⋊C4×C71C2311yescharacteristic
358C2×C22⋊C4×C71C2311yescharacteristic
359C2×C22⋊C4×C71C2311yescharacteristic
360C2×C22⋊C4×C71C2311yescharacteristic
361C2×C22⋊C4×C71C2311yescharacteristic
362C2×C22⋊C4×C71C2311yescharacteristic
363C2×C22⋊C4×C71C2311yescharacteristic
364C2×C22⋊C4×C71C2311yescharacteristic
365#95×C71C2311yescharacteristic
366#95×C71C2311yescharacteristic
367#95×C71C2311yescharacteristic
368#95×C71C2311yescharacteristic
369C23×D71C2411yescharacteristic
370C2×Dic142—22no—
371C2×Dic142—41no—
372C2×Dic142—41no—
373C2×C22⋊D71—22no—
374C2×C22⋊D71—22no—
375C2×C22⋊D71—22no—
376C2×C22⋊D71—22no—
377C2×C22⋊D71—22no—
378C2×C22⋊D71—22no—
379C2×C22⋊D71—22no—
380C2×C22⋊D71—22no—
381C2×C22⋊D71—22no—
382C2×C22⋊D71—41no—
383C2×C22⋊D71—41no—
384C2×C22⋊D71—41no—
385C2×C22⋊D71—41no—
386C2×C22⋊D71—41no—
387C2×C22⋊D71—41no—
388C22×Dic71—22no—
389C22×Dic71—22no—
390C22×Dic71—22no—
391C22×Dic71—22no—
392C22×Dic71—22no—
393C22×Dic71—22no—
394C22×Dic71—22no—
395C22×Dic71—22no—
396C22×Dic71—22no—
397C22×Dic71—22no—
398C22×Dic71—22no—
399C22×Dic71—22no—
400C22×Dic71—22no—
401C22×Dic71—22no—
402C22×Dic71—22no—
403C22×Dic71—22no—
404C22×Dic71—41no—
405C22×Dic71—41no—
406C22×Dic71—41no—
407C22×Dic71—41no—
408C22×Dic71—41no—
409C22×Dic71—41no—
410C22×Dic71—41no—
411C22×Dic71—41no—
412C22×Dic71—41no—
413C22×Dic71—41no—
414C22×Dic71—41no—
415C22×Dic71—41no—
416C22×Dic71—41no—
417C22×Dic71—416no—
418C22×Dic71#4114yes—
419C22×Dic71C2411yescharacteristic
420C22×Dic71C2411yescharacteristic
421C22×Dic71C2411yescharacteristic
422C22×Dic71C2411yescharacteristic
423C22×Dic71C2411yescharacteristic
424C22×Dic71C2411yescharacteristic
425C22×Dic71C2411yescharacteristic
426C22×Dic71C2411yescharacteristic
427C22×Dic71C2411yescharacteristic
428C22×Dic71C2411yescharacteristic
429C22×Dic71C2411yescharacteristic
430C22×Dic71C2411yescharacteristic
431C22×Dic71C2411yescharacteristic
432C22×Dic71C2411yescharacteristic
433C22×Dic71C2411yescharacteristic
434C2×C4×D71—22no—
435C2×C4×D71—41no—
436C2×C4×D71—41no—
437C4⋊Dic71—22no—
438C4⋊Dic71—41no—
439C4⋊Dic71—41no—
440Dic71⋊C4—22no—
441Dic71⋊C4—22no—
442Dic71⋊C4—22no—
443Dic71⋊C4—22no—
444Dic71⋊C4—41no—
445Dic71⋊C4—41no—
446Dic71⋊C4—41no—
447Dic71⋊C4—41no—
448Dic71⋊C4—41no—
449Dic71⋊C4—41no—
450Dic71⋊C4—41no—
451Dic71⋊C4—41no—
452Dic71⋊C4—41no—
453Dic71⋊C4—41no—
454Dic71⋊C4—41no—
455C22⋊Dic71—22no—
456C22⋊Dic71—22no—
457C22⋊Dic71—22no—
458C22⋊Dic71—22no—
459C22⋊Dic71—22no—
460C22⋊Dic71—22no—
461C22⋊Dic71—22no—
462C22⋊Dic71—22no—
463C22⋊Dic71—22no—
464C22⋊Dic71—22no—
465C22⋊Dic71—22no—
466C22⋊Dic71—22no—
467C22⋊Dic71—22no—
468C22⋊Dic71—22no—
469C22⋊Dic71—22no—
470C22⋊Dic71—22no—
471C22⋊Dic71—41no—
472C22⋊Dic71—41no—
473C22⋊Dic71—41no—
474C22⋊Dic71—41no—
475C22⋊Dic71—41no—
476C22⋊Dic71—41no—
477C22⋊Dic71—41no—
478C22⋊Dic71—41no—
479C22⋊Dic71#4114yes—
480(C2×D71)⋊C4—22no—
481(C2×D71)⋊C4—22no—
482(C2×D71)⋊C4—41no—
483(C2×D71)⋊C4—41no—
484(C2×D71)⋊C4—41no—
485(C2×D71)⋊C4—41no—
486(C2×D71)⋊C4—41no—
487(C2×D71)⋊C4—41no—
488(C2×D71)⋊C4—41no—
489C4×Dic71—22no—
490C4×Dic71—22no—
491C4×Dic71—22no—
492C4×Dic71—41no—
493C4×Dic71—41no—
494C4×Dic71—41no—
495C4×Dic71—41no—
496C4×Dic71—41no—
497C4×Dic71—41no—
498C4×Dic71—41no—
499C4×Dic71—41no—
500C24×C71—22no—
501C24×C71—22no—
502C24×C71—22no—
503C24×C71—22no—
504C24×C71—22no—
505C24×C71—22no—
506C24×C71—22no—
507C24×C71—41no—
508C24×C71—41no—
509C24×C71—41no—
510C24×C71—41no—
511C24×C71—41no—
512C24×C71—41no—
513C24×C71#4114yes—
514C24×C71C2411yescharacteristic
515C24×C71C2411yescharacteristic
516C24×C71C2411yescharacteristic
517C24×C71C2411yescharacteristic
518C24×C71C2411yescharacteristic
519C2×D4×C71—22no—
520C2×D4×C71—22no—
521C2×D4×C71—22no—
522C2×D4×C71—22no—
523C2×D4×C71—22no—
524C2×D4×C71—22no—
525C2×D4×C71—22no—
526C2×D4×C71—22no—
527C2×D4×C71—41no—
528C2×D4×C71—41no—
529C2×D4×C71—41no—
530C2×D4×C71—41no—
531C2×D4×C71—416no—
532C22×C4×C71—22no—
533C22×C4×C71—22no—
534C22×C4×C71—22no—
535C22×C4×C71—22no—
536C22×C4×C71—22no—
537C22×C4×C71—41no—
538C22×C4×C71—41no—
539C22×C4×C71—41no—
540C22×C4×C71—41no—
541C22×C4×C71C2411yescharacteristic
542C22×C4×C71C2411yescharacteristic
543C22×C4×C71C2411yescharacteristic
544C22×C4×C71C2411yescharacteristic
545C22×C4×C71C2411yescharacteristic
546C22×C4×C71C2411yescharacteristic
547C22×C4×C71C2411yescharacteristic
548C22×C4×C71C2411yescharacteristic
549C22×C4×C71C2411yescharacteristic
550C22×C4×C71C2411yescharacteristic
551C4⋊C4×C71—41no—
552C4⋊C4×C71—41no—
553C4⋊C4×C71—41no—
554C4⋊C4×C71—41no—
555C22⋊C4×C71—22no—
556C22⋊C4×C71—22no—
557C22⋊C4×C71—22no—
558C22⋊C4×C71—22no—
559C22⋊C4×C71—22no—
560C22⋊C4×C71—22no—
561C22⋊C4×C71—22no—
562C22⋊C4×C71—22no—
563C22⋊C4×C71—41no—
564C22⋊C4×C71—41no—
565C22⋊C4×C71—41no—
566C22⋊C4×C71—41no—
567C22⋊C4×C71—41no—
568C22⋊C4×C71—41no—
569C22⋊C4×C71—41no—
570C22⋊C4×C71—41no—
571C22⋊C4×C71—41no—
572C22⋊C4×C71—41no—
573C23×C71—21no—
574C23×C71—21no—
575C23×C71—21no—
576C23×C71—21no—
577C23×C71—21no—
578C23×C71—21no—
579C23×C71—21no—
580C23×C71—21no—
581C23×C71—28no—
582C23×C71—28no—
583C23×C71—21no—
584C23×C71—21no—
585C23×C71—21no—
586C23×C71—21no—
587C23×C71—21no—
588C23×C71—21no—
589C23×C71—21no—
590C23×C71—21no—
591C23×C71—21no—
592C23×C71—21no—
593C23×C71—21no—
594C23×C71—21no—
595C23×C71—21no—
596C23×C71—21no—
597C23×C71—21no—
598C23×C71—21no—
599C23×C71—21no—
600C23×C71—21no—
601C23×C71—21no—
602C23×C71—21no—
603C23×C71—44no—
604C23×C71—44no—
605C23×C71—44no—
606C23×C71—44no—
607C23×C71—44no—
608C23×C71—44no—
609C23×C71—44no—
610C23×C71—44no—
611C23×C71—82no—
612C23×C71—82no—
613C23×C71—82no—
614C23×C71—82no—
615C23×C71C2×#4112yes—
616C23×C71C2×#4112yes—
617C23×C71C2×#4112yes—
618C23×C71C2×#4112yes—
619C23×C71C2×#4112yes—
620C23×C71H(5,𝔽2)12yes—
621C23×C71H(5,𝔽2)12yes—
622C23×C71C2511yescharacteristic
623C22×D71—21no—
624C22×D71—21no—
625C22×D71—21no—
626C22×D71—21no—
627C22×D71—21no—
628C22×D71—21no—
629C22×D71—21no—
630D4×C71—44no—
631D4×C71—44no—
632D4×C71—44no—
633D4×C71—44no—
634C2×C4×C71—21no—
635C2×C4×C71—21no—
636C2×C4×C71—21no—
637C2×C4×C71—21no—
638C2×C4×C71—21no—
639C2×C4×C71—21no—
640C2×C4×C71—21no—
641C2×C4×C71—21no—
642C2×C4×C71—21no—
643C2×C4×C71—21no—
644C2×C4×C71—21no—
645C2×C4×C71—21no—
646C2×C4×C71—21no—
647C2×C4×C71—21no—
648C2×C4×C71—21no—
649C2×C4×C71—21no—
650C2×C4×C71—21no—
651C2×C4×C71—21no—
652C2×C4×C71—21no—
653C2×C4×C71—21no—
654C2×C4×C71—21no—
655C2×C4×C71—21no—
656C2×C4×C71—21no—
657C2×C4×C71—21no—
658C2×C4×C71—21no—
659C2×C4×C71—21no—
660C2×C4×C71—21no—
661C2×C4×C71—21no—
662C2×C4×C71—21no—
663C2×C4×C71—21no—
664C2×C4×C71—44no—
665C2×C4×C71—44no—
666C2×C4×C71—44no—
667C22⋊D71—44no—
668C22⋊D71—44no—
669C22⋊D71—44no—
670C22⋊D71—82no—
671C22⋊D71—82no—
672C2×Dic71—28no—
673C2×Dic71—21no—
674C2×Dic71—21no—
675C2×Dic71—21no—
676C2×Dic71—21no—
677C2×Dic71—21no—
678C2×Dic71—21no—
679C2×Dic71—21no—
680C2×Dic71—21no—
681C2×Dic71—21no—
682C2×Dic71—21no—
683C2×Dic71—21no—
684C2×Dic71—21no—
685C2×Dic71—21no—
686C2×Dic71—21no—
687C2×Dic71—21no—
688C2×Dic71—21no—
689C2×Dic71—21no—
690C2×Dic71—21no—
691C2×Dic71—21no—
692C2×Dic71—21no—
693C2×Dic71—21no—
694C2×Dic71—21no—
695C2×Dic71—21no—
696C2×Dic71—21no—
697C2×Dic71—21no—
698C2×Dic71—21no—
699C2×Dic71—21no—
700C2×Dic71—21no—
701C2×Dic71—21no—
702C2×Dic71—21no—
703C2×Dic71—21no—
704C2×Dic71—21no—
705C2×Dic71—21no—
706C2×Dic71—21no—
707C2×Dic71—21no—
708C2×Dic71—21no—
709C2×Dic71—21no—
710C2×Dic71—21no—
711C2×Dic71—21no—
712C2×Dic71—21no—
713C2×Dic71—44no—
714C2×Dic71—44no—
715C2×Dic71—44no—
716C2×Dic71—44no—
717C2×Dic71—44no—
718C2×Dic71—44no—
719C2×Dic71—44no—
720C2×Dic71—82no—
721C2×Dic71—82no—
722C2×Dic71C2×#4112yes—
723C2×Dic71C2×#4112yes—
724C2×Dic71C2×#4112yes—
725C2×Dic71C2×#4112yes—
726C2×Dic71H(5,𝔽2)12yes—
727C4×D71—82no—
728Dic142—82no—
729C22×C71—22no—
730C22×C71—22no—
731C22×C71—22no—
732C22×C71—22no—
733C22×C71—22no—
734C22×C71—22no—
735C22×C71—22no—
736C22×C71—22no—
737C22×C71—22no—
738C22×C71—22no—
739C22×C71—22no—
740C22×C71—22no—
741C22×C71—22no—
742C22×C71—22no—
743C22×C71—22no—
744C22×C71—416no—
745C22×C71—41no—
746C22×C71—41no—
747C22×C71—41no—
748C22×C71—41no—
749C22×C71—41no—
750C22×C71—41no—
751C22×C71—41no—
752C22×C71—41no—
753C22×C71—41no—
754C22×C71—41no—
755C22×C71—41no—
756C22×C71—41no—
757C22×C71—41no—
758C22×C71—41no—
759C22×C71—41no—
760C22×C71—41no—
761C22×C71—41no—
762C22×C71—41no—
763C22×C71—88no—
764C22×C71#52914yes—
765C22×C71#53814yes—
766C22×C71C22×#4111yescharacteristic
767C22×C71C22×#4111yescharacteristic
768C22×C71C22×#4111yescharacteristic
769C22×C71C2×H(5,𝔽2)11yescharacteristic
770C22×C71C2×H(5,𝔽2)11yescharacteristic
771C22×C71C2×H(5,𝔽2)11yescharacteristic
772C22×C71#58511yescharacteristic
773C2×D71—41no—
774C2×D71—41no—
775C2×D71—41no—
776C2×D71—41no—
777C2×D71—41no—
778C2×D71—41no—
779C2×D71—41no—
780C4×C71—41no—
781C4×C71—41no—
782C4×C71—41no—
783C4×C71—41no—
784C4×C71—41no—
785C4×C71—41no—
786C4×C71—41no—
787C4×C71—41no—
788C4×C71—41no—
789C4×C71—41no—
790Dic71—22no—
791Dic71—22no—
792Dic71—22no—
793Dic71—22no—
794Dic71—22no—
795Dic71—41no—
796Dic71—41no—
797Dic71—41no—
798Dic71—41no—
799Dic71—41no—
800Dic71—41no—
801Dic71—41no—
802Dic71—41no—
803Dic71—41no—
804Dic71—41no—
805#34998—711nomaximal, Sylow
806C2×C71—24no—
807C2×C71—24no—
808C2×C71—42no—
809C2×C71—81no—
810C2×C71—81no—
811C2×C71C2×#52911yescharacteristic
812C2×C71C2×#53811yescharacteristic
813C2×C71#345911yescharacteristic
814C2×C71#349011yescharacteristic
815C2×C71#349411yescharacteristic
816C2×C71#351311yescharacteristic
817C2×C71#351911yescharacteristic
818D71—81no—
819#2854—711no—
820#2853—711no—
821#2852—711no—
822#2850—711no—
823#2653—711no—
824#2649—711no—
825#2648—711no—
826#2648—711no—
827#2518—711no—
828#2518—711no—
829#2510—711no—
830#2510—711no—
831#2505—711no—
832#2488—711no—
833#2480—711no—
834#2472—711no—
835#2467—711no—
836#2459—711no—
837#2444—711no—
838#2437—711no—
839#2425—711no—
840#2412—711no—
841#2410—711no—
842#2405D7111yescharacteristic, complemented
843#2329—711no—
844#2321—711no—
845#2318—711no—
846#2312—711no—
847C4×#120—711no—
848C2×#386—711no—
849C2×C4×C22⋊C4—711no—
850C71#3499811yescharacteristic, complemented, Sylow
851C23×D4C2×D7111yescharacteristic
852C24×C4—711no—
853C2×#126—711no—
854C2×#124—711no—
855C2×#123—711no—
856C2×#123C2×D7111yescharacteristic
857C2×#123C2×D7111yescharacteristic
858C2×C22⋊Q8—711no—
859C2×C22⋊Q8—711no—
860C2×#121—711no—
861C2×#121—711no—
862C2×#120—711no—
863C2×#120—711no—
864C2×C4×D4—711no—
865C2×C4×D4—711no—
866C2×C4×D4—711no—
867C22×C22⋊C4—711no—
868C22×C22⋊C4—711no—
869C22×C22⋊C4—711no—
870C22×C22⋊C4—711no—
871C22×C22⋊C4C2×D7111yescharacteristic
872C22×C42—711no—
873C22×C42—711no—
874#401—711no—
875#400—711no—
876#400—711no—
877#400—711no—
878#400—711no—
879#399—711no—
880#398—711no—
881#397—711no—
882#397—711no—
883#397—711no—
884#397—711no—
885#397—711no—
886#397—711no—
887#397—711no—
888#397—711no—
889#396—711no—
890#396—711no—
891#396—711no—
892#394—711no—
893#394—711no—
894#394—711no—
895#394—711no—
896#394—711no—
897#394—711no—
898#394C2×D7111yescharacteristic
899#394C2×D7111yescharacteristic
900#394C2×D7111yescharacteristic
901#394C2×D7111yescharacteristic
902#393—711no—
903#393—711no—
904#392—711no—
905#392—711no—
906#391—711no—
907#391—711no—
908#390—711no—
909#390—711no—
910#390—711no—
911#389—711no—
912#389—711no—
913#389—711no—
914#388—711no—
915#388—711no—
916#388—711no—
917#388—711no—
918#388—711no—
919#388—711no—
920#388—711no—
921#388—711no—
922#388—711no—
923#388—711no—
924#388—711no—
925#388—711no—
926#388—711no—
927#388—711no—
928#388—711no—
929#388—711no—
930#388—711no—
931#388—711no—
932#388—711no—
933#388—711no—
934#388—711no—
935#387—711no—
936#387—711no—
937#387—711no—
938#387—711no—
939#387—711no—
940#387—711no—
941#387—711no—
942#387—711no—
943#387—711no—
944#386—711no—
945#386—711no—
946#386—711no—
947#386—711no—
948#386—711no—
949#386—711no—
950#386—711no—
951#386—711no—
952#386—711no—
953#386—711no—
954#386—711no—
955#386—711no—
956#386—711no—
957#386—711no—
958#386—711no—
959#386—711no—
960#386—711no—
961#386—711no—
962#386—711no—
963#386C2×D7111yescharacteristic
964#386C2×D7111yescharacteristic
965#385—711no—
966#385—711no—
967#385—711no—
968#385—711no—
969#385—711no—
970#385—711no—
971#385—711no—
972#385—711no—
973#385—711no—
974#385C2×D7111yescharacteristic
975#385C2×D7111yescharacteristic
976#383—711no—
977#383—711no—
978#382—711no—
979#382—711no—
980#381—711no—
981#381—711no—
982#380—711no—
983#380—711no—
984#380—711no—
985#380—711no—
986#380—711no—
987#379—711no—
988#379C2×D7111yescharacteristic
989#379C2×D7111yescharacteristic
990#379C2×D7111yescharacteristic
991C4×C22⋊C4—711no—
992C4×C22⋊C4—711no—
993C4×C22⋊C4—711no—
994C4×C22⋊C4—711no—
995C4×C22⋊C4—711no—
996C4×C22⋊C4—711no—
997C4×C22⋊C4—711no—
998C4×C22⋊C4—711no—
999C4×C22⋊C4—711no—
1000C4×C22⋊C4—711no—
1001C4×C22⋊C4—711no—
1002C2×#95—711no—
1003C2×#95—711no—
1004C2×#95—711no—
1005C2×#95—711no—
1006C25C22×D7111yescharacteristic
1007C25C22×D7111yescharacteristic
1008C22×Q8—711no—
1009C22×D4—24no—
1010C22×D4—42no—
1011C22×D4—42no—
1012C22×D4—711no—
1013C22×D4—711no—
1014C22×D4—711no—
1015C22×D4—711no—
1016C22×D4—711no—
1017C22×D4C22×D7111yescharacteristic
1018C22×D4C22×D7111yescharacteristic
1019C22×D4C22×D7111yescharacteristic
1020C22×D4C22×D7111yescharacteristic
1021C23×C4—2842no—
1022C23×C4—2842no—
1023C23×C4—711no—
1024C23×C4—711no—
1025C23×C4—711no—
1026C23×C4—711no—
1027C23×C4—711no—
1028C23×C4—711no—
1029C23×C4—711no—
1030C23×C4—711no—
1031C23×C4—711no—
1032C23×C4—711no—
1033C23×C4—711no—
1034C23×C4—1424no—
1035C23×C4C22×D7111yescharacteristic
1036C23×C4C22×D7111yescharacteristic
1037C23×C4C22×D7111yescharacteristic
1038#126—2842no—
1039#124—2842no—
1040#123—42no—
1041#123—42no—
1042#123—2842no—
1043C22⋊Q8—2842no—
1044C22⋊Q8—1424no—
1045#121—2842no—
1046#121—2842no—
1047#120—1424no—
1048#120—1424no—
1049C4×D4—2842no—
1050C4×D4—2842no—
1051C4×D4—1424no—
1052C2×C4⋊C4—711no—
1053C2×C4⋊C4—711no—
1054C2×C4⋊C4—711no—
1055C2×C4⋊C4—711no—
1056C2×C4⋊C4—711no—
1057C2×C4⋊C4—711no—
1058C2×C4⋊C4—711no—
1059C2×C4⋊C4—711no—
1060C2×C4⋊C4—711no—
1061C2×C4⋊C4—711no—
1062C2×C4⋊C4—711no—
1063C2×C4⋊C4—711no—
1064C2×C4⋊C4—711no—
1065C2×C4⋊C4—711no—
1066C2×C4⋊C4—711no—
1067C2×C4⋊C4—711no—
1068C2×C4⋊C4—711no—
1069C2×C4⋊C4—711no—
1070C2×C4⋊C4C22×D7111yescharacteristic
1071C2×C4⋊C4C22×D7111yescharacteristic
1072C2×C4⋊C4C22×D7111yescharacteristic
1073C2×C4⋊C4C22×D7111yescharacteristic
1074C2×C22⋊C4—24no—
1075C2×C22⋊C4—2842no—
1076C2×C22⋊C4—2842no—
1077C2×C22⋊C4—711no—
1078C2×C22⋊C4—711no—
1079C2×C22⋊C4—711no—
1080C2×C22⋊C4—711no—
1081C2×C22⋊C4—711no—
1082C2×C22⋊C4—711no—
1083C2×C22⋊C4—711no—
1084C2×C22⋊C4—711no—
1085C2×C22⋊C4—711no—
1086C2×C22⋊C4—711no—
1087C2×C22⋊C4—711no—
1088C2×C22⋊C4—711no—
1089C2×C22⋊C4—711no—
1090C2×C22⋊C4—711no—
1091C2×C22⋊C4—711no—
1092C2×C22⋊C4—711no—
1093C2×C22⋊C4—711no—
1094C2×C22⋊C4—711no—
1095C2×C22⋊C4—711no—
1096C2×C22⋊C4—711no—
1097C2×C22⋊C4—711no—
1098C2×C22⋊C4—711no—
1099C2×C22⋊C4—711no—
1100C2×C22⋊C4—711no—
1101C2×C22⋊C4—711no—
1102C2×C22⋊C4—711no—
1103C2×C22⋊C4—711no—
1104C2×C22⋊C4—711no—
1105C2×C22⋊C4—711no—
1106C2×C22⋊C4—711no—
1107C2×C22⋊C4—711no—
1108C2×C22⋊C4—711no—
1109C2×C22⋊C4—711no—
1110C2×C22⋊C4—711no—
1111C2×C22⋊C4—1424no—
1112C2×C22⋊C4—1424no—
1113C2×C22⋊C4C22×D7111yescharacteristic
1114C2×C22⋊C4C22×D7111yescharacteristic
1115C2×C22⋊C4C22×D7111yescharacteristic
1116C2×C22⋊C4C22×D7111yescharacteristic
1117C2×C22⋊C4C22×D7111yescharacteristic
1118C2×C22⋊C4C22×D7111yescharacteristic
1119C2×C22⋊C4C22×D7111yescharacteristic
1120C2×C22⋊C4C22×D7111yescharacteristic
1121C2×C22⋊C4C22×D7111yescharacteristic
1122C2×C22⋊C4C22×D7111yescharacteristic
1123C2×C22⋊C4C22×D7111yescharacteristic
1124C2×C22⋊C4C22×D7111yescharacteristic
1125C2×C22⋊C4C22×D7111yescharacteristic
1126C2×C22⋊C4C22×D7111yescharacteristic
1127C2×C22⋊C4C22×D7111yescharacteristic
1128C2×C22⋊C4C22×D7111yescharacteristic
1129C2×C22⋊C4C22×D7111yescharacteristic
1130C2×C22⋊C4C22×D7111yescharacteristic
1131C2×C42—2842no—
1132C2×C42—2842no—
1133C2×C42—711no—
1134C2×C42—711no—
1135C2×C42—711no—
1136C2×C42—711no—
1137C2×C42—711no—
1138C2×C42—711no—
1139C2×C42—711no—
1140C2×C42—711no—
1141C2×C42—711no—
1142C2×C42—711no—
1143C2×C42—711no—
1144#95—711no—
1145#95—711no—
1146#95—711no—
1147#95—711no—
1148#95—711no—
1149#95—711no—
1150#95—711no—
1151#95—711no—
1152#95—711no—
1153#95—711no—
1154#95—711no—
1155#95—711no—
1156#95—711no—
1157#95—711no—
1158#95—711no—
1159#95—711no—
1160#95—711no—
1161#95—711no—
1162#95—711no—
1163#95—711no—
1164#95—711no—
1165#95—711no—
1166#95—711no—
1167#95—711no—
1168#95—711no—
1169#95—711no—
1170#95—711no—
1171#95—711no—
1172#95—711no—
1173#95—711no—
1174#95—711no—
1175#95—711no—
1176#95—711no—
1177#95—711no—
1178#95—711no—
1179#95—711no—
1180#95—711no—
1181#95—711no—
1182#95—711no—
1183#95—711no—
1184#95C22×D7111yescharacteristic
1185#95C22×D7111yescharacteristic
1186#95C22×D7111yescharacteristic
1187#95C22×D7111yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—711no—
1202C24#1176586414yes—
1203C24C23×D7111yescharacteristic
1204C24C23×D7111yescharacteristic
1205C24C23×D7111yescharacteristic
1206C24C23×D7111yescharacteristic
1207C24C23×D7111yescharacteristic
1208C2×Q8—2841no—
1209C2×Q8—2841no—
1210C2×Q8—1422no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—416no—
1224C2×D4—2841no—
1225C2×D4—2841no—
1226C2×D4—2841no—
1227C2×D4—2841no—
1228C2×D4—2841no—
1229C2×D4—2841no—
1230C2×D4—1422no—
1231C2×D4—1422no—
1232C2×D4—1422no—
1233C2×D4—1422no—
1234C2×D4—1422no—
1235C2×D4—1422no—
1236C2×D4—1422no—
1237C2×D4—1422no—
1238C2×D4—1422no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—2841no—
1249C22×C4—2841no—
1250C22×C4—28416no—
1251C22×C4—2841no—
1252C22×C4—2841no—
1253C22×C4—2841no—
1254C22×C4—2841no—
1255C22×C4—2841no—
1256C22×C4—2841no—
1257C22×C4—2841no—
1258C22×C4—2841no—
1259C22×C4—2841no—
1260C22×C4—2841no—
1261C22×C4—2841no—
1262C22×C4—2841no—
1263C22×C4—2841no—
1264C22×C4—714no—
1265C22×C4—711no—
1266C22×C4—711no—
1267C22×C4—711no—
1268C22×C4—711no—
1269C22×C4—711no—
1270C22×C4—711no—
1271C22×C4—711no—
1272C22×C4—711no—
1273C22×C4—711no—
1274C22×C4—711no—
1275C22×C4—711no—
1276C22×C4—711no—
1277C22×C4—711no—
1278C22×C4—711no—
1279C22×C4—711no—
1280C22×C4—1422no—
1281C22×C4—1422no—
1282C22×C4—1422no—
1283C22×C4—1422no—
1284C22×C4—1422no—
1285C22×C4—1422no—
1286C22×C4—1422no—
1287C22×C4—1422no—
1288C22×C4—1422no—
1289C22×C4—1422no—
1290C22×C4—1422no—
1291C22×C4—1422no—
1292C22×C4—1422no—
1293C22×C4—1422no—
1294C22×C4—1422no—
1295C22×C4—1422no—
1296C22×C4—1422no—
1297C22×C4C23×D7111yescharacteristic
1298C22×C4C23×D7111yescharacteristic
1299C22×C4C23×D7111yescharacteristic
1300C22×C4C23×D7111yescharacteristic
1301C22×C4C23×D7111yescharacteristic
1302C22×C4C23×D7111yescharacteristic
1303C22×C4C23×D7111yescharacteristic
1304C22×C4C23×D7111yescharacteristic
1305C22×C4C23×D7111yescharacteristic
1306C22×C4C23×D7111yescharacteristic
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—2841no—
1312C4⋊C4—2841no—
1313C4⋊C4—2841no—
1314C4⋊C4—2841no—
1315C4⋊C4—2841no—
1316C4⋊C4—2841no—
1317C4⋊C4—2841no—
1318C4⋊C4—2841no—
1319C4⋊C4—2841no—
1320C4⋊C4—2841no—
1321C4⋊C4—2841no—
1322C4⋊C4—2841no—
1323C4⋊C4—2841no—
1324C4⋊C4—1422no—
1325C4⋊C4—1422no—
1326C4⋊C4—1422no—
1327C4⋊C4—1422no—
1328C4⋊C4—1422no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—2841no—
1348C22⋊C4—2841no—
1349C22⋊C4—2841no—
1350C22⋊C4—2841no—
1351C22⋊C4—2841no—
1352C22⋊C4—2841no—
1353C22⋊C4—2841no—
1354C22⋊C4—2841no—
1355C22⋊C4—2841no—
1356C22⋊C4—2841no—
1357C22⋊C4—2841no—
1358C22⋊C4—2841no—
1359C22⋊C4—2841no—
1360C22⋊C4—2841no—
1361C22⋊C4—2841no—
1362C22⋊C4—714no—
1363C22⋊C4—1422no—
1364C22⋊C4—1422no—
1365C22⋊C4—1422no—
1366C22⋊C4—1422no—
1367C22⋊C4—1422no—
1368C22⋊C4—1422no—
1369C22⋊C4—1422no—
1370C22⋊C4—1422no—
1371C22⋊C4—1422no—
1372C22⋊C4—1422no—
1373C22⋊C4—1422no—
1374C22⋊C4—1422no—
1375C22⋊C4—1422no—
1376C22⋊C4—1422no—
1377C22⋊C4—1422no—
1378C22⋊C4—1422no—
1379C22⋊C4—1422no—
1380C22⋊C4—1422no—
1381C42—2841no—
1382C42—2841no—
1383C42—2841no—
1384C42—2841no—
1385C42—2841no—
1386C42—2841no—
1387C42—2841no—
1388C42—2841no—
1389C42—1422no—
1390C42—1422no—
1391C42—1422no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—28no—
1407C23—28no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—1421no—
1435C23—1421no—
1436C23—1421no—
1437C23—1421no—
1438C23—1421no—
1439C23—1421no—
1440C23—1421no—
1441C23#41×D7112yes—
1442C23#41×D7112yes—
1443C23C2×#1176586412yes—
1444C23C2×#1176586412yes—
1445C23C2×#1176586412yes—
1446C23#1455617312yes—
1447C23#1455617312yes—
1448C23C24×D7111yescharacteristic
1449Q8—5682no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—2844no—
1455D4—2844no—
1456D4—2844no—
1457D4—5682no—
1458D4—5682no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—2844no—
1493C2×C4—2844no—
1494C2×C4—2844no—
1495C2×C4—2844no—
1496C2×C4—2844no—
1497C2×C4—2844no—
1498C2×C4—2844no—
1499C2×C4—5682no—
1500C2×C4—5682no—
1501C2×C4—5682no—
1502C2×C4—712no—
1503C2×C4—712no—
1504C2×C4—712no—
1505C2×C4—712no—
1506C2×C4—712no—
1507C2×C4—1421no—
1508C2×C4—1421no—
1509C2×C4—1421no—
1510C2×C4—1421no—
1511C2×C4—1421no—
1512C2×C4—1421no—
1513C2×C4—1421no—
1514C2×C4—1421no—
1515C2×C4—1421no—
1516C2×C4—1421no—
1517C2×C4—1421no—
1518C2×C4—1421no—
1519C2×C4—1421no—
1520C2×C4—1421no—
1521C2×C4—1421no—
1522C2×C4—1421no—
1523C2×C4—1421no—
1524C2×C4—1421no—
1525C2×C4—1421no—
1526C2×C4—1421no—
1527C2×C4—1421no—
1528C2×C4—1421no—
1529C2×C4—1421no—
1530C2×C4—1421no—
1531C2×C4—1421no—
1532C2×C4—1421no—
1533C2×C4—1421no—
1534C2×C4—1421no—
1535C2×C4—1421no—
1536C2×C4—1421no—
1537C2×C4—1428no—
1538C2×C4—1421no—
1539C2×C4—1421no—
1540C2×C4—1421no—
1541C2×C4—1421no—
1542C2×C4—1421no—
1543C2×C4—1421no—
1544C2×C4—1421no—
1545C2×C4—1421no—
1546C2×C4—1421no—
1547C2×C4—1421no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—416no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—88no—
1583C22—2841no—
1584C22—2841no—
1585C22—2841no—
1586C22—2841no—
1587C22—2841no—
1588C22—2841no—
1589C22—2841no—
1590C22#1798652614yes—
1591C22#1798658414yes—
1592C22C2×#41×D7111yescharacteristic
1593C22C2×#41×D7111yescharacteristic
1594C22C22×#1176586411yescharacteristic
1595C22H(5,𝔽2)×D7111yescharacteristic
1596C22C2×#1455617311yescharacteristic
1597C22C2×#1455617311yescharacteristic
1598C22#1798683411yescharacteristic
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—2841no—
1610C4—2841no—
1611C4—2841no—
1612C4—2841no—
1613C4—2841no—
1614C4—2841no—
1615C4—2841no—
1616C4—2841no—
1617C4—2841no—
1618C4—2841no—
1619C4—1422no—
1620C4—1422no—
1621C4—1422no—
1622C4—1422no—
1623C4—1422no—
1624C2—24no—
1625C2—24no—
1626C2—42no—
1627C2—81no—
1628C2—81no—
1629C2—5681no—
1630C2C2×#1798652611yescharacteristic
1631C2C2×#1798658411yescharacteristic
1632C2#2260174611yescharacteristic
1633C2#2260202211yescharacteristic
1634C2#2260206211yescharacteristic
1635C2#2260227311yescharacteristic
1636C2#2260236111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D71
commutator, socle, cosocleC23×C71C25
FittingC71×#2405C2
prime radical#22591714C2
hypercenter#2405D71
hypocenterC71#34998
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
1. #22596669C2semidirect
2. #22596659C2semidirect
3. #22596653C2semidirect
4. #22596637C2semidirect
5. #22594398C2semidirect
6. #22594336C2semidirect
7. #22594323C2semidirect
8. #22594321C2semidirect
9. #22592999C2semidirect
10. #22592993C2semidirect
11. #22592906C2semidirect
12. #22592898C2semidirect
13. #22592839C2semidirect
14. #22592670C2semidirect
15. #22592583C2semidirect
16. #22592463C2semidirect
17. #22592392C2semidirect
18. #22592278C2semidirect
19. #22592096C2semidirect
20. #22592006C2semidirect
21. #22591887C2semidirect
22. #22591736C2semidirect
24. #22591071C2semidirect
25. #22590995C2semidirect
26. #22590968C2semidirect
27. #22590936C2semidirect
28. #22590839C2semidirect
29. C2×#17985879C2semidirect
30. C2×C22⋊C4×Dic71C2semidirect
31. C71×#2405C2semidirect
33. C2×#14556121C22semidirect
34. C2×#14556114C22semidirect
35. C2×#14556111C22semidirect
37. C2×#14556105C22semidirect
43. C2×(C22⋊D71)⋊C4C22semidirect
44. C2×(C22⋊D71)⋊C4C22semidirect
49. C22×C4×Dic71C22semidirect
50. C22×C4×Dic71C22semidirect
51. C71⋊#401C22semidirect
52. #17985940C22semidirect
53. #17985940C22semidirect
54. #17985937C22semidirect
55. #17985937C22semidirect
56. #17985935C22semidirect
57. #17985930C22semidirect
58. #17985928C22semidirect
59. #17985927C22semidirect
60. #17985927C22semidirect
61. #17985927C22semidirect
62. #17985927C22semidirect
63. #17985927C22semidirect
64. #17985925C22semidirect
65. #17985924C22semidirect
66. #17985922C22semidirect
67. #17985922C22semidirect
68. #17985922C22semidirect
69. #17985915C22semidirect
70. #17985914C22semidirect
71. #17985914C22semidirect
72. #17985914C22semidirect
75. #17985911C22semidirect
76. #17985911C22semidirect
79. #17985904C22semidirect
80. #17985903C22semidirect
81. #17985899C22semidirect
82. #17985899C22semidirect
83. #17985899C22semidirect
84. #17985895C22semidirect
85. #17985894C22semidirect
86. #17985894C22semidirect
87. #17985893C22semidirect
88. #17985893C22semidirect
89. #17985893C22semidirect
90. #17985893C22semidirect
91. #17985893C22semidirect
92. #17985893C22semidirect
93. #17985893C22semidirect
94. #17985892C22semidirect
95. #17985892C22semidirect
96. #17985891C22semidirect
97. #17985889C22semidirect
98. #17985889C22semidirect
99. #17985888C22semidirect
100. #17985887C22semidirect
101. #17985887C22semidirect
102. #17985887C22semidirect
103. #17985887C22semidirect
104. #17985887C22semidirect
105. #17985887C22semidirect
106. #17985887C22semidirect
107. #17985887C22semidirect
108. #17985886C22semidirect
109. #17985884C22semidirect
110. #17985881C22semidirect
111. #17985881C22semidirect
112. #17985881C22semidirect
113. #17985880C22semidirect
114. #17985880C22semidirect
115. #17985880C22semidirect
116. #17985880C22semidirect
128. #17985878C22semidirect
132. #17985876C22semidirect
133. #17985876C22semidirect
134. #17985875C22semidirect
135. #17985875C22semidirect
137. #17985874C22semidirect
139. #17985872C22semidirect
142. #17985871C22semidirect
143. #17985871C22semidirect
144. #17985871C22semidirect
145. #17985866C22semidirect
146. #17985866C22semidirect
147. #17985864C22semidirect
148. #17985863C22semidirect
149. #17985862C22semidirect
150. #17985861C22semidirect
154. #17985857C22semidirect
155. #17985856C22semidirect
162. C22⋊C4×Dic71C22semidirect
163. C22⋊C4×Dic71C22semidirect
164. C22⋊C4×Dic71C22semidirect
165. C22⋊C4×Dic71C22semidirect
166. C22⋊C4×Dic71C22semidirect
167. C22⋊C4×Dic71C22semidirect
170. C2×C71⋊#95C22semidirect
171. C2×C71⋊#95C22semidirect
842. #2405D71semidirect
850. C71#34998semidirect

Maximal subgroups

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

subgroupindex
#225966692
#225966592
#225966532
#225966372
#225943982
#225943362
#225943232
#225943212
#225929992
#225929932
#225929062
#225928982
#225928392
#225926702
#225925832
#225924632
#225923922
#225922782
#225920962
#225920062
#225918872
#225917362
#225917142
#225910712
#225909952
#225909682
#225909362
#225908392
C2×#179858792
C2×C22⋊C4×Dic712
C71×#24052
#3499871