Finite Group Databasebeta

← #32165370

Subgroups — #32165370

Order 18176.

3700 conjugacy classes of subgroups.

The subgroup lattice has 1944 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986545C211yesmaximal, characteristic, complemented
2C2×#17986508C211yesmaximal, characteristic, complemented
3C22×C4×C22⋊D71C211yesmaximal, characteristic, complemented
4#22592473C211yesmaximal, characteristic, complemented
5#22592465C211yesmaximal, characteristic, complemented
6#22592351C211yesmaximal, characteristic, complemented
7#22592343C211yesmaximal, characteristic, complemented
8#22592314C211yesmaximal, characteristic, complemented
9#22592306C211yesmaximal, characteristic, complemented
10#22592189C211yesmaximal, characteristic, complemented
11#22592104C211yesmaximal, characteristic, complemented
12#22592039C211yesmaximal, characteristic, complemented
13#22591975C211yesmaximal, characteristic, complemented
14#22591925C211yesmaximal, characteristic, complemented
15#22591882C211yesmaximal, characteristic, complemented
16#22591880C211yesmaximal, characteristic, complemented
17#22591851C211yesmaximal, characteristic, complemented
18#22591777C211yesmaximal, characteristic, complemented
19#22591693C211yesmaximal, characteristic, complemented
20#22591578C211yesmaximal, characteristic, complemented
21#22591576C211yesmaximal, characteristic, complemented
22#22591555C211yesmaximal, characteristic, complemented
23#22591553C211yesmaximal, characteristic, complemented
24C4×#14556124C211yesmaximal, characteristic, complemented
25C4×#14556100C211yesmaximal, characteristic, complemented
26C4×#14556100C211yesmaximal, characteristic, complemented
27C4×#14556097C211yesmaximal, characteristic, complemented
28C4×#14556096C211yesmaximal, characteristic, complemented
29#22590799C211yesmaximal, characteristic, complemented
30C4×D4×Dic71C211yesmaximal, characteristic, complemented
31C2×#525×C71C211yesmaximal, characteristic, complemented
32C22×#11765865C2211yescharacteristic, complemented
33C23×C22⋊D71C2211yescharacteristic
34C23×C4×D71C2211yescharacteristic
35#17986545—28no—
36C2×#14556126C2211yescharacteristic, complemented
37C2×#14556124C2211yescharacteristic
38C2×#14556124C2211yescharacteristic
39C2×#14556117C2211yescharacteristic, complemented
40C2×#14556115C2211yescharacteristic, complemented
41#17986508—28no—
42C2×#14556113C2211yescharacteristic, complemented
43C2×#14556110C2211yescharacteristic, complemented
44C2×#14556106C2211yescharacteristic, complemented
45C2×#14556105C2211yescharacteristic
46C2×#14556101C2211yescharacteristic, complemented
47C2×#14556100C2211yescharacteristic
48C2×#14556100C2211yescharacteristic
49C2×#14556100C2211yescharacteristic
50C2×#14556100C2211yescharacteristic
51C2×#14556100C2211yescharacteristic, complemented
52C2×#14556100C2211yescharacteristic, complemented
53C2×#14556100C2211yescharacteristic, complemented
54C2×#14556098C2211yescharacteristic
55C2×#14556097C2211yescharacteristic
56C2×#14556096C2211yescharacteristic
57C2×#14556096C2211yescharacteristic
58C2×C4×D284C2211yescharacteristic, complemented
59C2×D4×Dic71C2211yescharacteristic
60C2×D4×Dic71C2211yescharacteristic
61C2×C4×C22⋊D71—28no—
62C2×C4×C22⋊D71C2211yescharacteristic
63C2×C4×C22⋊D71C2211yescharacteristic
64C2×C4×C22⋊D71C2211yescharacteristic
65C2×C4×C22⋊D71C2211yescharacteristic
66C2×C4×C22⋊D71C2211yescharacteristic
67C2×C4×C22⋊D71C2211yescharacteristic
68C2×C4×C22⋊D71C2211yescharacteristic
69C2×C4×C22⋊D71C2211yescharacteristic
70C2×C4×C22⋊D71C2211yescharacteristic
71C2×C4×C22⋊D71C2211yescharacteristic, complemented
72C2×C4×C22⋊D71C2211yescharacteristic, complemented
73C2×C4×C22⋊D71C2211yescharacteristic, complemented
74C2×C4×C22⋊D71C2211yescharacteristic, complemented
75C2×C4×C22⋊D71C2211yescharacteristic, complemented
76C2×C4×C22⋊D71C2211yescharacteristic, complemented
77C2×#14556085C2211yescharacteristic, complemented
78C22×Dic71⋊C4C2211yescharacteristic
79C22×C22⋊Dic71C2211yescharacteristic
80C22×(C2×D71)⋊C4C2211yescharacteristic
81C22×C4×Dic71C2211yescharacteristic
82C22×C4×Dic71C2211yescharacteristic, complemented
83#17985930C2211yescharacteristic, complemented
84#17985929C2211yescharacteristic, complemented
85#17985925C2211yescharacteristic, complemented
86#17985924C2211yescharacteristic, complemented
87#17985922C2211yescharacteristic, complemented
88#17985922C2211yescharacteristic, complemented
89#17985921C2211yescharacteristic, complemented
90#17985921C2211yescharacteristic, complemented
91#17985919C2211yescharacteristic, complemented
92#17985918C2211yescharacteristic, complemented
93#17985916C2211yescharacteristic, complemented
94#17985916C2211yescharacteristic, complemented
95#17985915C2211yescharacteristic
96#17985915C2211yescharacteristic
97#17985915C2211yescharacteristic, complemented
98#17985915C2211yescharacteristic, complemented
99#17985914C2211yescharacteristic, complemented
100#17985914C2211yescharacteristic, complemented
101#17985913C2211yescharacteristic, complemented
102#17985913C2211yescharacteristic, complemented
103#17985913C2211yescharacteristic, complemented
104#17985913C2211yescharacteristic, complemented
105#17985911C2211yescharacteristic, complemented
106#17985910C2211yescharacteristic, complemented
107#17985908C2211yescharacteristic
108#17985908C2211yescharacteristic
109#17985907C2211yescharacteristic
110#17985907C2211yescharacteristic
111#17985907C2211yescharacteristic
112#17985907C2211yescharacteristic
113#17985907C2211yescharacteristic, complemented
114#17985907C2211yescharacteristic, complemented
115#17985902C2211yescharacteristic, complemented
116#17985900C2211yescharacteristic, complemented
117#17985899C2211yescharacteristic
118#17985899C2211yescharacteristic
119#17985899C2211yescharacteristic
120#17985899C2211yescharacteristic
121#17985899C2211yescharacteristic, complemented
122#17985899C2211yescharacteristic, complemented
123#17985899C2211yescharacteristic, complemented
124#17985899C2211yescharacteristic, complemented
125#17985894C2211yescharacteristic, complemented
126#17985894C2211yescharacteristic, complemented
127#17985894C2211yescharacteristic, complemented
128#17985894C2211yescharacteristic, complemented
129#17985893C2211yescharacteristic, complemented
130#17985893C2211yescharacteristic, complemented
131#17985893C2211yescharacteristic, complemented
132#17985893C2211yescharacteristic, complemented
133#17985889C2211yescharacteristic, complemented
134#17985889C2211yescharacteristic, complemented
135#17985889C2211yescharacteristic, complemented
136#17985889C2211yescharacteristic, complemented
137#17985879C2211yescharacteristic
138#17985879C2211yescharacteristic
139#17985879C2211yescharacteristic, complemented
140#17985878C2211yescharacteristic
141#17985878C2211yescharacteristic, complemented
142#17985878C2211yescharacteristic, complemented
143#17985876C2211yescharacteristic
144#17985876C2211yescharacteristic, complemented
145#17985875C2211yescharacteristic, complemented
146#17985875C2211yescharacteristic, complemented
147#17985872C2211yescharacteristic
148#17985872C2211yescharacteristic, complemented
149#17985872C2211yescharacteristic, complemented
150#17985871C2211yescharacteristic
151#17985870C2211yescharacteristic, complemented
152#17985870C2211yescharacteristic, complemented
153#17985868C2211yescharacteristic, complemented
154#17985857C2211yescharacteristic
155#17985857C2211yescharacteristic, complemented
156#17985855C2211yescharacteristic
157#17985854C2211yescharacteristic
158C4⋊C4×Dic71C2211yescharacteristic, complemented
159C4⋊C4×Dic71C2211yescharacteristic, complemented
160C4×Dic71⋊C4C2211yescharacteristic, complemented
161C4×C4⋊Dic71C2211yescharacteristic, complemented
162C22⋊C4×Dic71C2211yescharacteristic
163C22⋊C4×Dic71C2211yescharacteristic
164C22⋊C4×Dic71C2211yescharacteristic, complemented
165C22⋊C4×Dic71C2211yescharacteristic, complemented
166C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
167C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
168C4×(C2×D71)⋊C4C2211yescharacteristic, complemented
169C4×C22⋊Dic71C2211yescharacteristic
170C4×C22⋊Dic71C2211yescharacteristic, complemented
171C4×C22⋊Dic71C2211yescharacteristic, complemented
172C4×C22⋊Dic71C2211yescharacteristic, complemented
173C4×C22⋊Dic71C2211yescharacteristic, complemented
174C42×Dic71C2211yescharacteristic, complemented
175C22×#41×C71C2211yescharacteristic, complemented
176C24×C4×C71C2211yescharacteristic
177#525×C71—28no—
178C2×#123×C71C2211yescharacteristic, complemented
179C2×#123×C71C2211yescharacteristic, complemented
180C2×C22⋊Q8×C71C2211yescharacteristic
181C2×C22⋊Q8×C71C2211yescharacteristic, complemented
182C2×#121×C71C2211yescharacteristic
183C2×#121×C71C2211yescharacteristic, complemented
184C2×#120×C71C2211yescharacteristic
185C2×#120×C71C2211yescharacteristic
186C2×C4×D4×C71C2211yescharacteristic
187C2×C4×D4×C71C2211yescharacteristic
188C2×C4×D4×C71C2211yescharacteristic, complemented
189C2×C4×D4×C71C2211yescharacteristic, complemented
190C2×#117×C71C2211yescharacteristic, complemented
191C24×D71C2311yescharacteristic
192C2×#11765865—24no—
193C2×#11765865—24no—
194C2×#11765865—42no—
195C22×Dic142C2311yescharacteristic
196C22×D284C2311yescharacteristic
197C22×D284C2311yescharacteristic
198C22×C22⋊D71—24no—
199C22×C22⋊D71—24no—
200C22×C22⋊D71—24no—
201C22×C22⋊D71C2311yescharacteristic
202C22×C22⋊D71C2311yescharacteristic
203C22×C22⋊D71C2311yescharacteristic
204C22×C22⋊D71C2311yescharacteristic
205C22×C22⋊D71C2311yescharacteristic
206C22×C22⋊D71C2311yescharacteristic
207C22×C22⋊D71C2311yescharacteristic
208C22×C22⋊D71C2311yescharacteristic
209C22×C22⋊D71C2311yescharacteristic
210C22×C22⋊D71C2311yescharacteristic
211C22×C22⋊D71C2311yescharacteristic
212C22×C22⋊D71C2311yescharacteristic
213C22×C22⋊D71C2311yescharacteristic
214C23×Dic71C2311yescharacteristic
215C23×Dic71C2311yescharacteristic
216C23×Dic71C2311yescharacteristic
217C23×Dic71C2311yescharacteristic
218C23×Dic71C2311yescharacteristic
219C22×C4×D71—24no—
220C22×C4×D71—24no—
221C22×C4×D71—42no—
222C22×C4×D71C2311yescharacteristic
223C22×C4×D71C2311yescharacteristic
224C22×C4×D71C2311yescharacteristic
225C22×C4×D71C2311yescharacteristic
226C22×C4×D71C2311yescharacteristic
227#14556126—24no—
228#14556124—24no—
229#14556124—24no—
230#14556117—24no—
231#14556115—24no—
232#14556113—24no—
233#14556110—24no—
234#14556106—24no—
235#14556105—24no—
236#14556101—24no—
237#14556100—24no—
238#14556100—24no—
239#14556100—24no—
240#14556100—24no—
241#14556100—24no—
242#14556100—24no—
243#14556100—24no—
244#14556098—24no—
245#14556097—24no—
246#14556096—24no—
247#14556096—24no—
248C4×D284—24no—
249D4×Dic71—24no—
250D4×Dic71—24no—
251C4×C22⋊D71—24no—
252C4×C22⋊D71—24no—
253C4×C22⋊D71—24no—
254C4×C22⋊D71—24no—
255C4×C22⋊D71—24no—
256C4×C22⋊D71—24no—
257C4×C22⋊D71—24no—
258C4×C22⋊D71—24no—
259C4×C22⋊D71—24no—
260C4×C22⋊D71—24no—
261C4×C22⋊D71—24no—
262C4×C22⋊D71—24no—
263C4×C22⋊D71—42no—
264C4×C22⋊D71—42no—
265C4×C22⋊D71D418yescomplemented
266#14556085—24no—
267C2×C4⋊Dic71C2311yescharacteristic
268C2×C4⋊Dic71C2311yescharacteristic
269C2×C4⋊Dic71C2311yescharacteristic
270C2×Dic71⋊C4—24no—
271C2×Dic71⋊C4C2311yescharacteristic
272C2×Dic71⋊C4C2311yescharacteristic
273C2×Dic71⋊C4C2311yescharacteristic
274C2×Dic71⋊C4C2311yescharacteristic
275C2×Dic71⋊C4C2311yescharacteristic
276C2×Dic71⋊C4C2311yescharacteristic
277C2×Dic71⋊C4C2311yescharacteristic
278C2×Dic71⋊C4C2311yescharacteristic
279C2×Dic71⋊C4C2311yescharacteristic
280C2×Dic71⋊C4C2311yescharacteristic
281C2×Dic71⋊C4C2311yescharacteristic
282C2×Dic71⋊C4C2311yescharacteristic
283C2×Dic71⋊C4C2311yescharacteristic
284C2×Dic71⋊C4C2311yescharacteristic
285C2×Dic71⋊C4C2311yescharacteristic
286C2×C22⋊Dic71—24no—
287C2×C22⋊Dic71C2311yescharacteristic
288C2×C22⋊Dic71C2311yescharacteristic
289C2×C22⋊Dic71C2311yescharacteristic
290C2×C22⋊Dic71C2311yescharacteristic
291C2×C22⋊Dic71C2311yescharacteristic
292C2×C22⋊Dic71C2311yescharacteristic
293C2×C22⋊Dic71C2311yescharacteristic
294C2×C22⋊Dic71C2311yescharacteristic
295C2×C22⋊Dic71C2311yescharacteristic
296C2×C22⋊Dic71C2311yescharacteristic
297C2×C22⋊Dic71C2311yescharacteristic
298C2×C22⋊Dic71C2311yescharacteristic
299C2×C22⋊Dic71C2311yescharacteristic
300C2×C22⋊Dic71C2311yescharacteristic
301C2×C22⋊Dic71C2311yescharacteristic
302C2×C22⋊Dic71C2311yescharacteristic
303C2×C22⋊Dic71C2311yescharacteristic
304C2×C22⋊Dic71C2311yescharacteristic
305C2×C22⋊Dic71C2311yescharacteristic
306C2×C22⋊Dic71C2311yescharacteristic
307C2×C22⋊Dic71C2311yescharacteristic
308C2×(C2×D71)⋊C4—24no—
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×C4×Dic71—24no—
331C2×C4×Dic71—24no—
332C2×C4×Dic71C2311yescharacteristic
333C2×C4×Dic71C2311yescharacteristic
334C2×C4×Dic71C2311yescharacteristic
335C2×C4×Dic71C2311yescharacteristic
336C2×C4×Dic71C2311yescharacteristic
337C2×C4×Dic71C2311yescharacteristic
338C2×C4×Dic71C2311yescharacteristic
339C2×C4×Dic71C2311yescharacteristic
340C2×C4×Dic71C2311yescharacteristic
341C2×C4×Dic71C2311yescharacteristic
342C2×C4×Dic71C2311yescharacteristic
343C2×C4×Dic71C2311yescharacteristic
344C2×C4×Dic71C2311yescharacteristic
345C71⋊#95C2311yescharacteristic
346C71⋊#95C2311yescharacteristic
347C71⋊#95C2311yescharacteristic
348C71⋊#95C2311yescharacteristic
349C71⋊#95C2311yescharacteristic
350C71⋊#95C2311yescharacteristic
351C71⋊#95C2311yescharacteristic
352C71⋊#95C2311yescharacteristic
353C71⋊#95C2311yescharacteristic
354C71⋊#95C2311yescharacteristic
355C71⋊#95C2311yescharacteristic
356C71⋊#95C2311yescharacteristic
357C71⋊#95C2311yescharacteristic
358C71⋊#95C2311yescharacteristic
359C71⋊#95C2311yescharacteristic
360C71⋊#95C2311yescharacteristic
361C71⋊#95C2311yescharacteristic
362C71⋊#95C2311yescharacteristic
363C71⋊#95C2311yescharacteristic
364C71⋊#95C2311yescharacteristic
365C25×C71C2311yescharacteristic
366C2×#41×C71—24no—
367C2×#41×C71—24no—
368C2×#41×C71—42no—
369C22×Q8×C71C2311yescharacteristic
370C22×D4×C71C2311yescharacteristic
371C22×D4×C71C2311yescharacteristic
372C22×D4×C71C2311yescharacteristic
373C22×D4×C71C2311yescharacteristic
374C22×D4×C71C2311yescharacteristic
375C22×D4×C71C2311yescharacteristic
376C22×D4×C71C2311yescharacteristic
377C23×C4×C71—24no—
378C23×C4×C71—24no—
379C23×C4×C71—42no—
380C23×C4×C71C2311yescharacteristic
381C23×C4×C71C2311yescharacteristic
382C23×C4×C71C2311yescharacteristic
383C23×C4×C71C2311yescharacteristic
384C23×C4×C71C2311yescharacteristic
385C23×C4×C71C2311yescharacteristic
386C23×C4×C71C2311yescharacteristic
387C23×C4×C71C2311yescharacteristic
388#123×C71—24no—
389#123×C71—24no—
390C22⋊Q8×C71—24no—
391C22⋊Q8×C71—24no—
392#121×C71—24no—
393#121×C71—24no—
394#120×C71—24no—
395#120×C71—24no—
396C4×D4×C71—24no—
397C4×D4×C71—24no—
398C4×D4×C71—24no—
399C4×D4×C71D418yescomplemented
400#117×C71—24no—
401C2×C4⋊C4×C71C2311yescharacteristic
402C2×C4⋊C4×C71C2311yescharacteristic
403C2×C4⋊C4×C71C2311yescharacteristic
404C2×C4⋊C4×C71C2311yescharacteristic
405C2×C4⋊C4×C71C2311yescharacteristic
406C2×C4⋊C4×C71C2311yescharacteristic
407C2×C22⋊C4×C71C2311yescharacteristic
408C2×C22⋊C4×C71C2311yescharacteristic
409C2×C22⋊C4×C71C2311yescharacteristic
410C2×C22⋊C4×C71C2311yescharacteristic
411C2×C22⋊C4×C71C2311yescharacteristic
412C2×C22⋊C4×C71C2311yescharacteristic
413C2×C22⋊C4×C71C2311yescharacteristic
414C2×C22⋊C4×C71C2311yescharacteristic
415C2×C22⋊C4×C71C2311yescharacteristic
416C2×C22⋊C4×C71C2311yescharacteristic
417C2×C42×C71C2311yescharacteristic
418C2×C42×C71C2311yescharacteristic
419C23×D71—22no—
420C23×D71—22no—
421C23×D71—22no—
422C23×D71—22no—
423C23×D71—22no—
424C23×D71—41no—
425C23×D71—41no—
426C23×D71C2411yescharacteristic
427C23×D71C2411yescharacteristic
428C23×D71C2411yescharacteristic
429#11765865—416no—
430C2×Dic142—22no—
431C2×Dic142—22no—
432C2×Dic142—41no—
433C2×D284—22no—
434C2×D284—22no—
435C2×D284—22no—
436C2×D284—22no—
437C2×D284—41no—
438C2×D284—41no—
439C2×C22⋊D71—232no—
440C2×C22⋊D71—22no—
441C2×C22⋊D71—22no—
442C2×C22⋊D71—22no—
443C2×C22⋊D71—22no—
444C2×C22⋊D71—22no—
445C2×C22⋊D71—22no—
446C2×C22⋊D71—22no—
447C2×C22⋊D71—22no—
448C2×C22⋊D71—22no—
449C2×C22⋊D71—22no—
450C2×C22⋊D71—22no—
451C2×C22⋊D71—22no—
452C2×C22⋊D71—22no—
453C2×C22⋊D71—22no—
454C2×C22⋊D71—22no—
455C2×C22⋊D71—22no—
456C2×C22⋊D71—22no—
457C2×C22⋊D71—22no—
458C2×C22⋊D71—22no—
459C2×C22⋊D71—22no—
460C2×C22⋊D71—22no—
461C2×C22⋊D71—22no—
462C2×C22⋊D71—22no—
463C2×C22⋊D71—22no—
464C2×C22⋊D71—22no—
465C2×C22⋊D71—22no—
466C2×C22⋊D71—22no—
467C2×C22⋊D71—22no—
468C2×C22⋊D71—22no—
469C2×C22⋊D71—22no—
470C2×C22⋊D71—41no—
471C2×C22⋊D71—41no—
472C2×C22⋊D71—41no—
473C2×C22⋊D71—41no—
474C2×C22⋊D71—41no—
475C2×C22⋊D71—41no—
476C2×C22⋊D71—41no—
477C2×C22⋊D71C2×D414yes—
478C2×C22⋊D71#4114yescomplemented
479C22×Dic71—22no—
480C22×Dic71—22no—
481C22×Dic71—22no—
482C22×Dic71—22no—
483C22×Dic71—22no—
484C22×Dic71—22no—
485C22×Dic71—22no—
486C22×Dic71—22no—
487C22×Dic71—22no—
488C22×Dic71—22no—
489C22×Dic71—22no—
490C22×Dic71—41no—
491C22×Dic71—41no—
492C22×Dic71—41no—
493C22×Dic71#4114yescomplemented
494C22×Dic71C2411yescharacteristic
495C22×Dic71C2411yescharacteristic
496C22×Dic71C2411yescharacteristic
497C22×Dic71C2411yescharacteristic
498C22×Dic71C2411yescharacteristic
499C22×Dic71C2411yescharacteristic
500C22×Dic71C2411yescharacteristic
501C22×Dic71C2411yescharacteristic
502C22×Dic71C2411yescharacteristic
503C22×Dic71C2411yescharacteristic
504C22×Dic71C2411yescharacteristic
505C22×Dic71C2411yescharacteristic
506C22×Dic71C2411yescharacteristic
507C2×C4×D71—22no—
508C2×C4×D71—22no—
509C2×C4×D71—22no—
510C2×C4×D71—22no—
511C2×C4×D71—22no—
512C2×C4×D71—22no—
513C2×C4×D71—22no—
514C2×C4×D71—22no—
515C2×C4×D71—22no—
516C2×C4×D71—22no—
517C2×C4×D71—22no—
518C2×C4×D71—22no—
519C2×C4×D71—416no—
520C2×C4×D71—41no—
521C2×C4×D71—41no—
522C2×C4×D71C2×D414yes—
523C4⋊Dic71—22no—
524C4⋊Dic71—22no—
525C4⋊Dic71—22no—
526Dic71⋊C4—22no—
527Dic71⋊C4—22no—
528Dic71⋊C4—22no—
529Dic71⋊C4—22no—
530Dic71⋊C4—22no—
531Dic71⋊C4—22no—
532Dic71⋊C4—22no—
533Dic71⋊C4—22no—
534Dic71⋊C4—22no—
535Dic71⋊C4—22no—
536Dic71⋊C4—22no—
537Dic71⋊C4—22no—
538Dic71⋊C4—41no—
539Dic71⋊C4—41no—
540Dic71⋊C4C2×D414yes—
541C22⋊Dic71—22no—
542C22⋊Dic71—22no—
543C22⋊Dic71—22no—
544C22⋊Dic71—22no—
545C22⋊Dic71—22no—
546C22⋊Dic71—22no—
547C22⋊Dic71—22no—
548C22⋊Dic71—22no—
549C22⋊Dic71—22no—
550C22⋊Dic71—22no—
551C22⋊Dic71—22no—
552C22⋊Dic71—22no—
553C22⋊Dic71—22no—
554C22⋊Dic71—22no—
555C22⋊Dic71—22no—
556C22⋊Dic71—41no—
557C22⋊Dic71—41no—
558C22⋊Dic71—41no—
559C22⋊Dic71—41no—
560C22⋊Dic71C2×D414yes—
561C22⋊Dic71#4114yescomplemented
562(C2×D71)⋊C4—22no—
563(C2×D71)⋊C4—22no—
564(C2×D71)⋊C4—22no—
565(C2×D71)⋊C4—22no—
566(C2×D71)⋊C4—22no—
567(C2×D71)⋊C4—22no—
568(C2×D71)⋊C4—22no—
569(C2×D71)⋊C4—22no—
570(C2×D71)⋊C4—22no—
571(C2×D71)⋊C4—22no—
572(C2×D71)⋊C4—22no—
573(C2×D71)⋊C4—22no—
574(C2×D71)⋊C4—22no—
575(C2×D71)⋊C4—22no—
576(C2×D71)⋊C4—22no—
577(C2×D71)⋊C4—22no—
578(C2×D71)⋊C4—41no—
579(C2×D71)⋊C4—41no—
580(C2×D71)⋊C4—41no—
581(C2×D71)⋊C4—41no—
582(C2×D71)⋊C4C2×D414yes—
583C4×Dic71—22no—
584C4×Dic71—22no—
585C4×Dic71—22no—
586C4×Dic71—22no—
587C4×Dic71—22no—
588C4×Dic71—22no—
589C4×Dic71—22no—
590C4×Dic71—22no—
591C4×Dic71—22no—
592C4×Dic71—22no—
593C4×Dic71—22no—
594C4×Dic71—41no—
595C4×Dic71C2×D414yes—
596C24×C71—22no—
597C24×C71—22no—
598C24×C71—22no—
599C24×C71—22no—
600C24×C71—22no—
601C24×C71—41no—
602C24×C71—41no—
603C24×C71C2411yescharacteristic
604C24×C71C2411yescharacteristic
605C24×C71C2411yescharacteristic
606C24×C71C2411yescharacteristic
607C24×C71C2411yescharacteristic
608#41×C71—416no—
609C2×Q8×C71—22no—
610C2×Q8×C71—22no—
611C2×Q8×C71—41no—
612C2×D4×C71—22no—
613C2×D4×C71—22no—
614C2×D4×C71—22no—
615C2×D4×C71—22no—
616C2×D4×C71—22no—
617C2×D4×C71—22no—
618C2×D4×C71—22no—
619C2×D4×C71—22no—
620C2×D4×C71—22no—
621C2×D4×C71—22no—
622C2×D4×C71—22no—
623C2×D4×C71—22no—
624C2×D4×C71—22no—
625C2×D4×C71—22no—
626C2×D4×C71—22no—
627C2×D4×C71—41no—
628C2×D4×C71—41no—
629C2×D4×C71—41no—
630C2×D4×C71—41no—
631C2×D4×C71—41no—
632C2×D4×C71C2×D414yes—
633C22×C4×C71—22no—
634C22×C4×C71—22no—
635C22×C4×C71—22no—
636C22×C4×C71—22no—
637C22×C4×C71—22no—
638C22×C4×C71—22no—
639C22×C4×C71—22no—
640C22×C4×C71—22no—
641C22×C4×C71—22no—
642C22×C4×C71—22no—
643C22×C4×C71—22no—
644C22×C4×C71—22no—
645C22×C4×C71—22no—
646C22×C4×C71—22no—
647C22×C4×C71—22no—
648C22×C4×C71—22no—
649C22×C4×C71—22no—
650C22×C4×C71—22no—
651C22×C4×C71—41no—
652C22×C4×C71—41no—
653C22×C4×C71—41no—
654C22×C4×C71—416no—
655C22×C4×C71C2×D414yes—
656C22×C4×C71C2×D414yes—
657C22×C4×C71C2×D414yescomplemented
658C22×C4×C71C2411yescharacteristic
659C22×C4×C71C2411yescharacteristic
660C22×C4×C71C2411yescharacteristic
661C22×C4×C71C2411yescharacteristic
662C22×C4×C71C2411yescharacteristic
663C22×C4×C71C2411yescharacteristic
664C22×C4×C71C2411yescharacteristic
665C22×C4×C71C2411yescharacteristic
666C22×C4×C71C2411yescharacteristic
667C22×C4×C71C2411yescharacteristic
668C4⋊C4×C71—22no—
669C4⋊C4×C71—22no—
670C4⋊C4×C71—22no—
671C4⋊C4×C71—22no—
672C4⋊C4×C71—22no—
673C4⋊C4×C71C2×D414yescomplemented
674C22⋊C4×C71—22no—
675C22⋊C4×C71—22no—
676C22⋊C4×C71—22no—
677C22⋊C4×C71—22no—
678C22⋊C4×C71—22no—
679C22⋊C4×C71—22no—
680C22⋊C4×C71—22no—
681C22⋊C4×C71—22no—
682C22⋊C4×C71C2×D414yes—
683C22⋊C4×C71C2×D414yescomplemented
684C42×C71—22no—
685C42×C71C2×D414yescomplemented
686C23×C71—21no—
687C23×C71—21no—
688C23×C71—21no—
689C23×C71—21no—
690C23×C71—28no—
691C23×C71—21no—
692C23×C71—21no—
693C23×C71—21no—
694C23×C71—21no—
695C23×C71—21no—
696C23×C71—21no—
697C23×C71—21no—
698C23×C71—21no—
699C23×C71—21no—
700C23×C71—21no—
701C23×C71—21no—
702C23×C71—21no—
703C23×C71—21no—
704C23×C71—21no—
705C23×C71—21no—
706C23×C71—21no—
707C23×C71—21no—
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—44no—
717C23×C71—44no—
718C23×C71—44no—
719C23×C71—44no—
720C23×C71—44no—
721C23×C71—44no—
722C23×C71C22×D412yes—
723C23×C71C22×D412yes—
724C23×C71C22×D412yes—
725C23×C71C2×#4112yes—
726C23×C71C2×#4112yes—
727C23×C71C2×#4112yes—
728C23×C71C2511yescharacteristic
729C22×D71—28no—
730C22×D71—21no—
731C22×D71—21no—
732C22×D71—21no—
733C22×D71—21no—
734C22×D71—21no—
735C22×D71—21no—
736C22×D71—21no—
737C22×D71—21no—
738C22×D71—21no—
739C22×D71—21no—
740C22×D71—21no—
741C22×D71—21no—
742C22×D71—21no—
743C22×D71—21no—
744C22×D71—21no—
745C22×D71—21no—
746C22×D71—21no—
747C22×D71—21no—
748C22×D71—21no—
749C22×D71—44no—
750C22×D71—44no—
751C22×D71—44no—
752C22×D71—44no—
753C22×D71—44no—
754C22×D71—44no—
755C22×D71C22×D412yes—
756C22×D71C2×#4112yes—
757Q8×C71—44no—
758D4×C71—28no—
759D4×C71—44no—
760D4×C71—44no—
761D4×C71—44no—
762D4×C71—44no—
763D4×C71—44no—
764D4×C71—44no—
765C2×C4×C71—21no—
766C2×C4×C71—21no—
767C2×C4×C71—21no—
768C2×C4×C71—21no—
769C2×C4×C71—21no—
770C2×C4×C71—21no—
771C2×C4×C71—21no—
772C2×C4×C71—21no—
773C2×C4×C71—21no—
774C2×C4×C71—21no—
775C2×C4×C71—28no—
776C2×C4×C71—28no—
777C2×C4×C71—28no—
778C2×C4×C71—21no—
779C2×C4×C71—21no—
780C2×C4×C71—21no—
781C2×C4×C71—21no—
782C2×C4×C71—21no—
783C2×C4×C71—21no—
784C2×C4×C71—21no—
785C2×C4×C71—21no—
786C2×C4×C71—21no—
787C2×C4×C71—21no—
788C2×C4×C71—21no—
789C2×C4×C71—21no—
790C2×C4×C71—44no—
791C2×C4×C71—44no—
792C2×C4×C71—44no—
793C2×C4×C71—44no—
794C2×C4×C71—44no—
795C2×C4×C71C22×D412yes—
796C2×C4×C71C22×D412yes—
797C2×C4×C71C22×D412yes—
798C2×C4×C71C22×D412yes—
799C2×C4×C71C22×D412yes—
800C2×C4×C71C22×D412yes—
801C2×C4×C71C22×D412yes—
802C2×C4×C71H(5,𝔽2)12yes—
803C22⋊D71—28no—
804C22⋊D71—28no—
805C22⋊D71—28no—
806C22⋊D71—28no—
807C22⋊D71—44no—
808C22⋊D71—44no—
809C22⋊D71—44no—
810C22⋊D71—44no—
811C22⋊D71—44no—
812C22⋊D71—44no—
813C22⋊D71—44no—
814C22⋊D71—44no—
815C22⋊D71—44no—
816C2×Dic71—21no—
817C2×Dic71—21no—
818C2×Dic71—21no—
819C2×Dic71—21no—
820C2×Dic71—21no—
821C2×Dic71—21no—
822C2×Dic71—21no—
823C2×Dic71—21no—
824C2×Dic71—21no—
825C2×Dic71—21no—
826C2×Dic71—28no—
827C2×Dic71—21no—
828C2×Dic71—21no—
829C2×Dic71—21no—
830C2×Dic71—21no—
831C2×Dic71—21no—
832C2×Dic71—21no—
833C2×Dic71—21no—
834C2×Dic71—21no—
835C2×Dic71—21no—
836C2×Dic71—21no—
837C2×Dic71—21no—
838C2×Dic71—21no—
839C2×Dic71—21no—
840C2×Dic71—21no—
841C2×Dic71—21no—
842C2×Dic71—21no—
843C2×Dic71—21no—
844C2×Dic71—21no—
845C2×Dic71—21no—
846C2×Dic71—21no—
847C2×Dic71—21no—
848C2×Dic71—44no—
849C2×Dic71—44no—
850C2×Dic71—44no—
851C2×Dic71—44no—
852C2×Dic71C22×D412yes—
853C2×Dic71C22×D412yes—
854C2×Dic71C22×D412yes—
855C2×Dic71C2×#4112yes—
856C2×Dic71C2×#4112yes—
857C2×Dic71C2×#4112yes—
858C2×Dic71C2×#4112yes—
859C2×Dic71C2×#4112yes—
860D284—44no—
861D284—44no—
862C4×D71—28no—
863C4×D71—44no—
864C4×D71—44no—
865C4×D71—44no—
866C4×D71—44no—
867Dic142—44no—
868C22×C71—22no—
869C22×C71—22no—
870C22×C71—22no—
871C22×C71—22no—
872C22×C71—22no—
873C22×C71—22no—
874C22×C71—22no—
875C22×C71—22no—
876C22×C71—22no—
877C22×C71—22no—
878C22×C71—22no—
879C22×C71—22no—
880C22×C71—22no—
881C22×C71—22no—
882C22×C71—22no—
883C22×C71—416no—
884C22×C71—41no—
885C22×C71—41no—
886C22×C71—41no—
887C22×C71—41no—
888C22×C71—41no—
889C22×C71—41no—
890C22×C71—41no—
891C22×C71—41no—
892C22×C71—41no—
893C22×C71—41no—
894C22×C71—41no—
895C22×C71—41no—
896C22×C71—41no—
897C22×C71—41no—
898C22×C71—41no—
899C22×C71—41no—
900C22×C71—41no—
901C22×C71—41no—
902C22×C71—41no—
903C22×C71#53214yescomplemented
904C22×C71C23×D411yescharacteristic
905C22×C71C23×D411yescharacteristic
906C22×C71C22×#4111yescharacteristic
907C22×C71C22×#4111yescharacteristic
908C22×C71C22×#4111yescharacteristic
909C22×C71C2×H(5,𝔽2)11yescharacteristic
910C22×C71#58511yescharacteristic
911C2×D71—22no—
912C2×D71—22no—
913C2×D71—22no—
914C2×D71—22no—
915C2×D71—22no—
916C2×D71—22no—
917C2×D71—416no—
918C2×D71—41no—
919C2×D71—41no—
920C2×D71—41no—
921C2×D71—41no—
922C2×D71—41no—
923C2×D71—41no—
924C2×D71—41no—
925C2×D71—41no—
926C2×D71—41no—
927C2×D71—41no—
928C2×D71—41no—
929C2×D71—41no—
930C2×D71—41no—
931C2×D71—41no—
932C2×D71—41no—
933C4×C71—22no—
934C4×C71—22no—
935C4×C71—22no—
936C4×C71—22no—
937C4×C71—22no—
938C4×C71—41no—
939C4×C71—41no—
940C4×C71—41no—
941C4×C71—41no—
942C4×C71D4214yes—
943Dic71—22no—
944Dic71—22no—
945Dic71—22no—
946Dic71—22no—
947Dic71—22no—
948Dic71—41no—
949Dic71—41no—
950Dic71—41no—
951Dic71—41no—
952Dic71—41no—
953Dic71—41no—
954Dic71—41no—
955Dic71#52514yescomplemented
956#34681—711nomaximal, Sylow
957C2×C71—24no—
958C2×C71—42no—
959C2×C71—42no—
960C2×C71—42no—
961C2×C71—81no—
962C2×C71C2×#52511yescharacteristic
963C2×C71C2×#53211yescharacteristic
964C2×C71#346011yescharacteristic
965C2×C71C2×D4211yescharacteristic
966C2×C71D4×#4111yescharacteristic
967C2×C71D4×#4111yescharacteristic
968C2×C71#348111yescharacteristic
969D71—42no—
970D71—42no—
971D71—81no—
972C2×#532—711no—
973C2×#525—711no—
974C2×#525D7111yescharacteristic, complemented
975C22×C4×D4—711no—
976#2472—711no—
977#2472—711no—
978#2464—711no—
979#2464—711no—
980#2461—711no—
981#2461—711no—
982#2452—711no—
983#2445—711no—
984#2440—711no—
985#2433—711no—
986#2428—711no—
987#2424—711no—
988#2424—711no—
989#2422—711no—
990#2416—711no—
991#2408—711no—
992#2392—711no—
993#2392—711no—
994#2388—711no—
995#2388—711no—
996C4×#127—711no—
997C4×#121—711no—
998C4×#121—711no—
999C4×#120—711no—
1000C4×#120—711no—
1001#2293—711no—
1002C42×D4—711no—
1003C71#3468111yescharacteristic, complemented, Sylow
1004C22×#41—711no—
1005C22×#41C2×D7111yescharacteristic, complemented
1006C23×D4—711no—
1007C24×C4—711no—
1008C24×C4C2×D7111yescharacteristic
1009#532—1428no—
1010C2×C4⋊Q8—711no—
1011C2×#127—711no—
1012C2×#127—711no—
1013C2×#124—711no—
1014C2×#124—711no—
1015#525—28no—
1016#525—1428no—
1017C2×#123—711no—
1018C2×#123—711no—
1019C2×#123C2×D7111yescharacteristic, complemented
1020C2×#123C2×D7111yescharacteristic, complemented
1021C2×C22⋊Q8—711no—
1022C2×C22⋊Q8—711no—
1023C2×C22⋊Q8C2×D7111yescharacteristic
1024C2×C22⋊Q8C2×D7111yescharacteristic, complemented
1025C2×#121—711no—
1026C2×#121—711no—
1027C2×#121—711no—
1028C2×#121—711no—
1029C2×#121—711no—
1030C2×#121—711no—
1031C2×#121—711no—
1032C2×#121—711no—
1033C2×#121C2×D7111yescharacteristic
1034C2×#121C2×D7111yescharacteristic, complemented
1035C2×#120—711no—
1036C2×#120—711no—
1037C2×#120—711no—
1038C2×#120—711no—
1039C2×#120C2×D7111yescharacteristic
1040C2×#120C2×D7111yescharacteristic
1041C2×C4×D4—711no—
1042C2×C4×D4—711no—
1043C2×C4×D4—711no—
1044C2×C4×D4—711no—
1045C2×C4×D4—711no—
1046C2×C4×D4—711no—
1047C2×C4×D4—711no—
1048C2×C4×D4—711no—
1049C2×C4×D4—711no—
1050C2×C4×D4—711no—
1051C2×C4×D4—711no—
1052C2×C4×D4—711no—
1053C2×C4×D4—711no—
1054C2×C4×D4—711no—
1055C2×C4×D4—711no—
1056C2×C4×D4—711no—
1057C2×C4×D4—711no—
1058C2×C4×D4—711no—
1059C2×C4×D4—1428no—
1060C2×C4×D4C2×D7111yescharacteristic
1061C2×C4×D4C2×D7111yescharacteristic
1062C2×C4×D4C2×D7111yescharacteristic, complemented
1063C2×C4×D4C2×D7111yescharacteristic, complemented
1064C2×#117—711no—
1065C2×#117C2×D7111yescharacteristic, complemented
1066C22×C4⋊C4—711no—
1067C22×C22⋊C4—711no—
1068C22×C22⋊C4—711no—
1069C22×C42—711no—
1070C22×C42—711no—
1071#398—711no—
1072#398—711no—
1073#397—711no—
1074#397—711no—
1075#396—711no—
1076#396—711no—
1077#396—711no—
1078#396—711no—
1079#395—711no—
1080#395—711no—
1081#394—711no—
1082#394—711no—
1083#394—711no—
1084#394—711no—
1085#394—711no—
1086#394—711no—
1087#394—711no—
1088#394—711no—
1089#394—711no—
1090#394—711no—
1091#394—711no—
1092#394—711no—
1093#393—711no—
1094#393—711no—
1095#392—711no—
1096#392—711no—
1097#392—711no—
1098#392—711no—
1099#392—711no—
1100#392—711no—
1101#392—711no—
1102#392—711no—
1103#390—711no—
1104#390—711no—
1105#390—711no—
1106#390—711no—
1107#390—711no—
1108#390—711no—
1109#390—711no—
1110#390—711no—
1111#390—711no—
1112#390—711no—
1113#389—711no—
1114#389—711no—
1115#389—711no—
1116#389—711no—
1117#388—711no—
1118#388—711no—
1119#388—711no—
1120#388—711no—
1121#388—711no—
1122#388—711no—
1123#388—711no—
1124#388—711no—
1125#386—711no—
1126#386—711no—
1127#386—711no—
1128#386—711no—
1129#386—711no—
1130#386—711no—
1131#386—711no—
1132#386—711no—
1133#386—711no—
1134#386—711no—
1135#385—711no—
1136#385—711no—
1137#385—711no—
1138#385—711no—
1139#385—711no—
1140#385—711no—
1141#384—711no—
1142#380—711no—
1143#380—711no—
1144#379—711no—
1145#379—711no—
1146C4×C4⋊C4—711no—
1147C4×C4⋊C4—711no—
1148C4×C4⋊C4—711no—
1149C4×C4⋊C4—711no—
1150C4×C22⋊C4—711no—
1151C4×C22⋊C4—711no—
1152C4×C22⋊C4—711no—
1153C4×C22⋊C4—711no—
1154C4×C22⋊C4—711no—
1155C4×C22⋊C4—711no—
1156C4×C22⋊C4—711no—
1157C4×C22⋊C4—711no—
1158C4×C22⋊C4—711no—
1159C4×C22⋊C4—711no—
1160C4×C22⋊C4—711no—
1161C4×C22⋊C4—711no—
1162C43—711no—
1163C25—711no—
1164C25C22×D7111yescharacteristic
1165C2×#41—24no—
1166C2×#41—24no—
1167C2×#41—42no—
1168C2×#41—2842no—
1169C2×#41—1424no—
1170C2×#41—1424no—
1171C22×Q8—711no—
1172C22×Q8C22×D7111yescharacteristic
1173C22×D4—711no—
1174C22×D4—711no—
1175C22×D4—711no—
1176C22×D4—711no—
1177C22×D4—711no—
1178C22×D4—711no—
1179C22×D4—711no—
1180C22×D4—711no—
1181C22×D4—711no—
1182C22×D4—711no—
1183C22×D4—711no—
1184C22×D4—711no—
1185C22×D4—711no—
1186C22×D4—711no—
1187C22×D4—711no—
1188C22×D4—1424no—
1189C22×D4—1424no—
1190C22×D4—1424no—
1191C22×D4C22×D7111yescharacteristic
1192C22×D4C22×D7111yescharacteristic
1193C22×D4C22×D7111yescharacteristic
1194C22×D4C22×D7111yescharacteristic
1195C22×D4C22×D7111yescharacteristic
1196C22×D4C22×D7111yescharacteristic
1197C22×D4C22×D7111yescharacteristic
1198C23×C4—24no—
1199C23×C4—24no—
1200C23×C4—42no—
1201C23×C4—2842no—
1202C23×C4—711no—
1203C23×C4—711no—
1204C23×C4—711no—
1205C23×C4—711no—
1206C23×C4—711no—
1207C23×C4—711no—
1208C23×C4—711no—
1209C23×C4—711no—
1210C23×C4—711no—
1211C23×C4—711no—
1212C23×C4—1424no—
1213C23×C4—1424no—
1214C23×C4C22×D7111yescharacteristic
1215C23×C4C22×D7111yescharacteristic
1216C23×C4C22×D7111yescharacteristic
1217C23×C4C22×D7111yescharacteristic
1218C23×C4C22×D7111yescharacteristic
1219C23×C4C22×D7111yescharacteristic
1220C23×C4C22×D7111yescharacteristic
1221C23×C4C22×D7111yescharacteristic
1222C4⋊Q8—1424no—
1223#127—1424no—
1224#127—1424no—
1225#124—1424no—
1226#124—1424no—
1227#123—24no—
1228#123—24no—
1229#123—1424no—
1230#123—1424no—
1231C22⋊Q8—24no—
1232C22⋊Q8—24no—
1233C22⋊Q8—1424no—
1234C22⋊Q8—1424no—
1235#121—24no—
1236#121—24no—
1237#121—1424no—
1238#121—1424no—
1239#121—1424no—
1240#121—1424no—
1241#121—1424no—
1242#121—1424no—
1243#121—1424no—
1244#121—1424no—
1245#120—24no—
1246#120—24no—
1247#120—1424no—
1248#120—1424no—
1249#120—1424no—
1250#120—1424no—
1251C4×D4—24no—
1252C4×D4—24no—
1253C4×D4—24no—
1254C4×D4—2842no—
1255C4×D4—2842no—
1256C4×D4—718no—
1257C4×D4—1424no—
1258C4×D4—1424no—
1259C4×D4—1424no—
1260C4×D4—1424no—
1261C4×D4—1424no—
1262C4×D4—1424no—
1263C4×D4—1424no—
1264C4×D4—1424no—
1265C4×D4—1424no—
1266C4×D4—1424no—
1267C4×D4—1424no—
1268C4×D4—1424no—
1269C4×D4—1424no—
1270C4×D4—1424no—
1271C4×D4—1424no—
1272C4×D4C22⋊D7118yescomplemented
1273#117—24no—
1274#117—1424no—
1275C2×C4⋊C4—711no—
1276C2×C4⋊C4—711no—
1277C2×C4⋊C4—711no—
1278C2×C4⋊C4—711no—
1279C2×C4⋊C4—711no—
1280C2×C4⋊C4—711no—
1281C2×C4⋊C4—711no—
1282C2×C4⋊C4—711no—
1283C2×C4⋊C4—711no—
1284C2×C4⋊C4—711no—
1285C2×C4⋊C4—711no—
1286C2×C4⋊C4—711no—
1287C2×C4⋊C4—711no—
1288C2×C4⋊C4—711no—
1289C2×C4⋊C4—711no—
1290C2×C4⋊C4—711no—
1291C2×C4⋊C4—711no—
1292C2×C4⋊C4—711no—
1293C2×C4⋊C4—1424no—
1294C2×C4⋊C4C22×D7111yescharacteristic
1295C2×C4⋊C4C22×D7111yescharacteristic
1296C2×C4⋊C4C22×D7111yescharacteristic
1297C2×C4⋊C4C22×D7111yescharacteristic
1298C2×C4⋊C4C22×D7111yescharacteristic
1299C2×C4⋊C4C22×D7111yescharacteristic
1300C2×C22⋊C4—711no—
1301C2×C22⋊C4—711no—
1302C2×C22⋊C4—711no—
1303C2×C22⋊C4—711no—
1304C2×C22⋊C4—711no—
1305C2×C22⋊C4—711no—
1306C2×C22⋊C4—711no—
1307C2×C22⋊C4—711no—
1308C2×C22⋊C4—711no—
1309C2×C22⋊C4—711no—
1310C2×C22⋊C4—711no—
1311C2×C22⋊C4—711no—
1312C2×C22⋊C4—711no—
1313C2×C22⋊C4—711no—
1314C2×C22⋊C4—711no—
1315C2×C22⋊C4—711no—
1316C2×C22⋊C4—711no—
1317C2×C22⋊C4—711no—
1318C2×C22⋊C4—711no—
1319C2×C22⋊C4—711no—
1320C2×C22⋊C4—711no—
1321C2×C22⋊C4—711no—
1322C2×C22⋊C4—711no—
1323C2×C22⋊C4—711no—
1324C2×C22⋊C4—711no—
1325C2×C22⋊C4—711no—
1326C2×C22⋊C4—711no—
1327C2×C22⋊C4—711no—
1328C2×C22⋊C4—711no—
1329C2×C22⋊C4—711no—
1330C2×C22⋊C4—711no—
1331C2×C22⋊C4—711no—
1332C2×C22⋊C4—711no—
1333C2×C22⋊C4—711no—
1334C2×C22⋊C4—711no—
1335C2×C22⋊C4—711no—
1336C2×C22⋊C4—711no—
1337C2×C22⋊C4—711no—
1338C2×C22⋊C4—711no—
1339C2×C22⋊C4—711no—
1340C2×C22⋊C4—711no—
1341C2×C22⋊C4—711no—
1342C2×C22⋊C4—1424no—
1343C2×C22⋊C4—1424no—
1344C2×C22⋊C4C22×D7111yescharacteristic
1345C2×C22⋊C4C22×D7111yescharacteristic
1346C2×C22⋊C4C22×D7111yescharacteristic
1347C2×C22⋊C4C22×D7111yescharacteristic
1348C2×C22⋊C4C22×D7111yescharacteristic
1349C2×C22⋊C4C22×D7111yescharacteristic
1350C2×C22⋊C4C22×D7111yescharacteristic
1351C2×C22⋊C4C22×D7111yescharacteristic
1352C2×C22⋊C4C22×D7111yescharacteristic
1353C2×C22⋊C4C22×D7111yescharacteristic
1354C2×C42—711no—
1355C2×C42—711no—
1356C2×C42—711no—
1357C2×C42—711no—
1358C2×C42—711no—
1359C2×C42—711no—
1360C2×C42—711no—
1361C2×C42—711no—
1362C2×C42—711no—
1363C2×C42—711no—
1364C2×C42—711no—
1365C2×C42—711no—
1366C2×C42—711no—
1367C2×C42—1424no—
1368C2×C42—1424no—
1369C2×C42C22×D7111yescharacteristic
1370C2×C42C22×D7111yescharacteristic
1371#95—711no—
1372#95—711no—
1373#95—711no—
1374#95—711no—
1375#95—711no—
1376#95—711no—
1377#95—711no—
1378#95—711no—
1379#95—711no—
1380#95—711no—
1381#95—711no—
1382#95—711no—
1383#95—711no—
1384#95—711no—
1385#95—711no—
1386#95—711no—
1387#95—711no—
1388#95—711no—
1389#95—711no—
1390#95—711no—
1391C24—22no—
1392C24—22no—
1393C24—22no—
1394C24—22no—
1395C24—22no—
1396C24—41no—
1397C24—41no—
1398C24—2841no—
1399C24—2841no—
1400C24—711no—
1401C24—711no—
1402C24—711no—
1403C24—1422no—
1404C24—1422no—
1405C24—1422no—
1406C24—1422no—
1407C24—1422no—
1408C24C23×D7111yescharacteristic
1409C24C23×D7111yescharacteristic
1410C24C23×D7111yescharacteristic
1411C24C23×D7111yescharacteristic
1412C24C23×D7111yescharacteristic
1413#41—416no—
1414#41—28416no—
1415C2×Q8—22no—
1416C2×Q8—22no—
1417C2×Q8—41no—
1418C2×Q8—2841no—
1419C2×Q8—1422no—
1420C2×Q8—1422no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—22no—
1424C2×D4—22no—
1425C2×D4—22no—
1426C2×D4—22no—
1427C2×D4—22no—
1428C2×D4—22no—
1429C2×D4—22no—
1430C2×D4—22no—
1431C2×D4—22no—
1432C2×D4—22no—
1433C2×D4—22no—
1434C2×D4—22no—
1435C2×D4—22no—
1436C2×D4—41no—
1437C2×D4—41no—
1438C2×D4—41no—
1439C2×D4—41no—
1440C2×D4—41no—
1441C2×D4—2841no—
1442C2×D4—2841no—
1443C2×D4—2841no—
1444C2×D4—2841no—
1445C2×D4—2841no—
1446C2×D4—2841no—
1447C2×D4—2841no—
1448C2×D4—2841no—
1449C2×D4—2841no—
1450C2×D4—714no—
1451C2×D4—714no—
1452C2×D4—1422no—
1453C2×D4—1422no—
1454C2×D4—1422no—
1455C2×D4—1422no—
1456C2×D4—1422no—
1457C2×D4—1422no—
1458C2×D4—1422no—
1459C2×D4—1422no—
1460C2×D4—1422no—
1461C2×D4—1422no—
1462C2×D4—1422no—
1463C2×D4—1422no—
1464C2×D4—1422no—
1465C2×D4—1422no—
1466C2×D4—1422no—
1467C2×D4—1422no—
1468C2×D4—1422no—
1469C2×D4—1422no—
1470C2×D4—1422no—
1471C2×D4—1422no—
1472C2×D4—1422no—
1473C2×D4—1422no—
1474C2×D4—1422no—
1475C2×D4—1422no—
1476C2×D4—1422no—
1477C2×D4—1422no—
1478C2×D4—1422no—
1479C2×D4—1422no—
1480C2×D4—1422no—
1481C2×D4—1422no—
1482C2×D4—14232no—
1483C2×D4—1422no—
1484C2×D4—1422no—
1485C2×D4—1422no—
1486C2×D4—1422no—
1487C2×D4C2×C22⋊D7114yes—
1488C22×C4—22no—
1489C22×C4—22no—
1490C22×C4—22no—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—22no—
1501C22×C4—22no—
1502C22×C4—22no—
1503C22×C4—22no—
1504C22×C4—22no—
1505C22×C4—22no—
1506C22×C4—41no—
1507C22×C4—41no—
1508C22×C4—41no—
1509C22×C4—416no—
1510C22×C4—28416no—
1511C22×C4—2841no—
1512C22×C4—2841no—
1513C22×C4—2841no—
1514C22×C4—2841no—
1515C22×C4—2841no—
1516C22×C4—711no—
1517C22×C4—714no—
1518C22×C4—711no—
1519C22×C4—711no—
1520C22×C4—711no—
1521C22×C4—711no—
1522C22×C4—711no—
1523C22×C4—714no—
1524C22×C4—711no—
1525C22×C4—711no—
1526C22×C4—711no—
1527C22×C4—711no—
1528C22×C4—711no—
1529C22×C4—711no—
1530C22×C4—711no—
1531C22×C4—1422no—
1532C22×C4—1422no—
1533C22×C4—1422no—
1534C22×C4—1422no—
1535C22×C4—1422no—
1536C22×C4—1422no—
1537C22×C4—1422no—
1538C22×C4—1422no—
1539C22×C4—1422no—
1540C22×C4—1422no—
1541C22×C4—1422no—
1542C22×C4—1422no—
1543C22×C4—1422no—
1544C22×C4—1422no—
1545C22×C4—1422no—
1546C22×C4—1422no—
1547C22×C4—1422no—
1548C22×C4—1422no—
1549C22×C4—1422no—
1550C22×C4—1422no—
1551C22×C4—1422no—
1552C22×C4—1422no—
1553C22×C4—1422no—
1554C22×C4D4×D7114yes—
1555C22×C4C2×C22⋊D7114yes—
1556C22×C4C2×C22⋊D7114yescomplemented
1557C22×C4C23×D7111yescharacteristic
1558C22×C4C23×D7111yescharacteristic
1559C22×C4C23×D7111yescharacteristic
1560C22×C4C23×D7111yescharacteristic
1561C22×C4C23×D7111yescharacteristic
1562C22×C4C23×D7111yescharacteristic
1563C22×C4C23×D7111yescharacteristic
1564C22×C4C23×D7111yescharacteristic
1565C22×C4C23×D7111yescharacteristic
1566C22×C4C23×D7111yescharacteristic
1567C4⋊C4—22no—
1568C4⋊C4—22no—
1569C4⋊C4—22no—
1570C4⋊C4—22no—
1571C4⋊C4—22no—
1572C4⋊C4—2841no—
1573C4⋊C4—2841no—
1574C4⋊C4—714no—
1575C4⋊C4—1422no—
1576C4⋊C4—1422no—
1577C4⋊C4—1422no—
1578C4⋊C4—1422no—
1579C4⋊C4—1422no—
1580C4⋊C4—1422no—
1581C4⋊C4—1422no—
1582C4⋊C4—1422no—
1583C4⋊C4—1422no—
1584C4⋊C4—1422no—
1585C4⋊C4—1422no—
1586C4⋊C4—1422no—
1587C4⋊C4—1422no—
1588C4⋊C4—1422no—
1589C4⋊C4—1422no—
1590C4⋊C4C2×C22⋊D7114yescomplemented
1591C22⋊C4—22no—
1592C22⋊C4—22no—
1593C22⋊C4—22no—
1594C22⋊C4—22no—
1595C22⋊C4—22no—
1596C22⋊C4—22no—
1597C22⋊C4—22no—
1598C22⋊C4—22no—
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—714no—
1608C22⋊C4—714no—
1609C22⋊C4—714no—
1610C22⋊C4—1422no—
1611C22⋊C4—1422no—
1612C22⋊C4—1422no—
1613C22⋊C4—1422no—
1614C22⋊C4—1422no—
1615C22⋊C4—1422no—
1616C22⋊C4—1422no—
1617C22⋊C4—1422no—
1618C22⋊C4—1422no—
1619C22⋊C4—1422no—
1620C22⋊C4—1422no—
1621C22⋊C4—1422no—
1622C22⋊C4—1422no—
1623C22⋊C4—1422no—
1624C22⋊C4—1422no—
1625C22⋊C4—1422no—
1626C22⋊C4—1422no—
1627C22⋊C4—1422no—
1628C22⋊C4—1422no—
1629C22⋊C4—1422no—
1630C22⋊C4—1422no—
1631C22⋊C4—1422no—
1632C22⋊C4—1422no—
1633C22⋊C4—1422no—
1634C22⋊C4—1422no—
1635C22⋊C4—1422no—
1636C22⋊C4—1422no—
1637C22⋊C4—1422no—
1638C22⋊C4—1422no—
1639C22⋊C4—1422no—
1640C22⋊C4—1422no—
1641C22⋊C4C2×C22⋊D7114yes—
1642C22⋊C4C2×C22⋊D7114yescomplemented
1643C42—22no—
1644C42—2841no—
1645C42—714no—
1646C42—1422no—
1647C42—1422no—
1648C42—1422no—
1649C42—1422no—
1650C42—1422no—
1651C42—1422no—
1652C42—1422no—
1653C42—1422no—
1654C42—1422no—
1655C42—1422no—
1656C42—1422no—
1657C42C2×C22⋊D7114yescomplemented
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—28no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—44no—
1689C23—44no—
1690C23—44no—
1691C23—44no—
1692C23—44no—
1693C23—44no—
1694C23—2844no—
1695C23—2844no—
1696C23—2844no—
1697C23—2844no—
1698C23—2844no—
1699C23—2844no—
1700C23—712no—
1701C23—712no—
1702C23—1428no—
1703C23—1421no—
1704C23—1421no—
1705C23—1421no—
1706C23—1421no—
1707C23—1421no—
1708C23—1421no—
1709C23—1421no—
1710C23—1421no—
1711C23—1421no—
1712C23—1421no—
1713C23—1421no—
1714C23—1421no—
1715C23—1421no—
1716C23—1421no—
1717C23—1421no—
1718C23—1421no—
1719C23—1421no—
1720C23—1421no—
1721C23—1421no—
1722C23C2×D4×D7112yes—
1723C23C22×C22⋊D7112yes—
1724C23C22×C22⋊D7112yes—
1725C23#41×D7112yes—
1726C23#41×D7112yes—
1727C23#41×D7112yes—
1728C23C24×D7111yescharacteristic
1729Q8—44no—
1730Q8—2844no—
1731D4—28no—
1732D4—44no—
1733D4—44no—
1734D4—44no—
1735D4—44no—
1736D4—44no—
1737D4—44no—
1738D4—2844no—
1739D4—2844no—
1740D4—2844no—
1741D4—2844no—
1742D4—2844no—
1743D4—2844no—
1744D4—2844no—
1745D4—2844no—
1746D4—2844no—
1747D4—2844no—
1748D4—2844no—
1749D4—1428no—
1750D4—1428no—
1751D4—1428no—
1752D4—1428no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—28no—
1764C2×C4—28no—
1765C2×C4—28no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—2844no—
1784C2×C4—2844no—
1785C2×C4—2844no—
1786C2×C4—2844no—
1787C2×C4—2844no—
1788C2×C4—2844no—
1789C2×C4—2844no—
1790C2×C4—2844no—
1791C2×C4—712no—
1792C2×C4—712no—
1793C2×C4—712no—
1794C2×C4—712no—
1795C2×C4—712no—
1796C2×C4—712no—
1797C2×C4—712no—
1798C2×C4—712no—
1799C2×C4—1421no—
1800C2×C4—1421no—
1801C2×C4—1421no—
1802C2×C4—1421no—
1803C2×C4—1421no—
1804C2×C4—1421no—
1805C2×C4—1421no—
1806C2×C4—1421no—
1807C2×C4—1421no—
1808C2×C4—1421no—
1809C2×C4—1421no—
1810C2×C4—1421no—
1811C2×C4—1421no—
1812C2×C4—1421no—
1813C2×C4—1421no—
1814C2×C4—1421no—
1815C2×C4—1421no—
1816C2×C4—1421no—
1817C2×C4—1421no—
1818C2×C4—1421no—
1819C2×C4—1421no—
1820C2×C4—1428no—
1821C2×C4—1421no—
1822C2×C4—1421no—
1823C2×C4—1421no—
1824C2×C4—1421no—
1825C2×C4—1421no—
1826C2×C4—1421no—
1827C2×C4—1421no—
1828C2×C4—1421no—
1829C2×C4—1421no—
1830C2×C4—1421no—
1831C2×C4—1428no—
1832C2×C4C2×D4×D7112yes—
1833C2×C4C2×D4×D7112yes—
1834C2×C4C22×C22⋊D7112yes—
1835C2×C4C22×C22⋊D7112yes—
1836C2×C4C22×C22⋊D7112yes—
1837C2×C4C22×C22⋊D7112yes—
1838C2×C4C22×C22⋊D7112yes—
1839C2×C4#1455617312yes—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—22no—
1848C22—22no—
1849C22—22no—
1850C22—22no—
1851C22—22no—
1852C22—22no—
1853C22—22no—
1854C22—22no—
1855C22—416no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—28416no—
1876C22—2841no—
1877C22—2841no—
1878C22—2841no—
1879C22—2841no—
1880C22—2841no—
1881C22—2841no—
1882C22—2841no—
1883C22—2841no—
1884C22—2841no—
1885C22—2841no—
1886C22—2841no—
1887C22—2841no—
1888C22—2841no—
1889C22—2841no—
1890C22—2841no—
1891C22—1422no—
1892C22—1422no—
1893C22—1422no—
1894C22—1422no—
1895C22—1422no—
1896C22—1422no—
1897C22#1798654514yescomplemented
1898C22C22×D4×D7111yescharacteristic
1899C22C23×C22⋊D7111yescharacteristic
1900C22C2×#41×D7111yescharacteristic
1901C22C2×#41×D7111yescharacteristic
1902C22C2×#41×D7111yescharacteristic
1903C22C2×#1455617311yescharacteristic
1904C22#1798683511yescharacteristic
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—2841no—
1915C4—2841no—
1916C4—2841no—
1917C4—2841no—
1918C4—2841no—
1919C4—2841no—
1920C4—2841no—
1921C4—714no—
1922C4—1422no—
1923C4—1422no—
1924C4—1422no—
1925C4—1422no—
1926C4—1422no—
1927C4D4×C22⋊D7114yes—
1928C2—24no—
1929C2—42no—
1930C2—42no—
1931C2—42no—
1932C2—81no—
1933C2—2842no—
1934C2—2842no—
1935C2—5681no—
1936C2#525×D7111yescharacteristic
1937C2C2×#1798654511yescharacteristic
1938C2#2260175811yescharacteristic
1939C2C2×D4×C22⋊D7111yescharacteristic
1940C2#2260182311yescharacteristic
1941C2#41×C22⋊D7111yescharacteristic
1942C2#2260194211yescharacteristic
subgroupG/H
centerC22×C4C23×D71
commutator, socle, cosocleC23×C71C25
FrattiniC23C24×D71
FittingC2×#525×C71C2
hypercenterC2×#525D71
hypocenterC71#34681
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×#17986545C2semidirect
2. C2×#17986508C2semidirect
3. C22×C4×C22⋊D71C2semidirect
4. #22592473C2semidirect
5. #22592465C2semidirect
6. #22592351C2semidirect
7. #22592343C2semidirect
8. #22592314C2semidirect
9. #22592306C2semidirect
10. #22592189C2semidirect
11. #22592104C2semidirect
12. #22592039C2semidirect
13. #22591975C2semidirect
14. #22591925C2semidirect
15. #22591882C2semidirect
16. #22591880C2semidirect
17. #22591851C2semidirect
18. #22591777C2semidirect
19. #22591693C2semidirect
20. #22591578C2semidirect
21. #22591576C2semidirect
22. #22591555C2semidirect
23. #22591553C2semidirect
24. C4×#14556124C2semidirect
25. C4×#14556100C2semidirect
26. C4×#14556100C2semidirect
27. C4×#14556097C2semidirect
28. C4×#14556096C2semidirect
29. #22590799C2semidirect
30. C4×D4×Dic71C2semidirect
31. C2×#525×C71C2semidirect
32. C22×#11765865C22semidirect
36. C2×#14556126C22semidirect
39. C2×#14556117C22semidirect
40. C2×#14556115C22semidirect
42. C2×#14556113C22semidirect
43. C2×#14556110C22semidirect
44. C2×#14556106C22semidirect
46. C2×#14556101C22semidirect
51. C2×#14556100C22semidirect
52. C2×#14556100C22semidirect
53. C2×#14556100C22semidirect
58. C2×C4×D284C22semidirect
71. C2×C4×C22⋊D71C22semidirect
72. C2×C4×C22⋊D71C22semidirect
73. C2×C4×C22⋊D71C22semidirect
74. C2×C4×C22⋊D71C22semidirect
75. C2×C4×C22⋊D71C22semidirect
76. C2×C4×C22⋊D71C22semidirect
77. C2×#14556085C22semidirect
82. C22×C4×Dic71C22semidirect
83. #17985930C22semidirect
84. #17985929C22semidirect
85. #17985925C22semidirect
86. #17985924C22semidirect
87. #17985922C22semidirect
88. #17985922C22semidirect
89. #17985921C22semidirect
90. #17985921C22semidirect
91. #17985919C22semidirect
92. #17985918C22semidirect
93. #17985916C22semidirect
94. #17985916C22semidirect
97. #17985915C22semidirect
98. #17985915C22semidirect
99. #17985914C22semidirect
100. #17985914C22semidirect
101. #17985913C22semidirect
102. #17985913C22semidirect
103. #17985913C22semidirect
104. #17985913C22semidirect
105. #17985911C22semidirect
106. #17985910C22semidirect
113. #17985907C22semidirect
114. #17985907C22semidirect
115. #17985902C22semidirect
116. #17985900C22semidirect
121. #17985899C22semidirect
122. #17985899C22semidirect
123. #17985899C22semidirect
124. #17985899C22semidirect
125. #17985894C22semidirect
126. #17985894C22semidirect
127. #17985894C22semidirect
128. #17985894C22semidirect
129. #17985893C22semidirect
130. #17985893C22semidirect
131. #17985893C22semidirect
132. #17985893C22semidirect
133. #17985889C22semidirect
134. #17985889C22semidirect
135. #17985889C22semidirect
136. #17985889C22semidirect
139. #17985879C22semidirect
141. #17985878C22semidirect
142. #17985878C22semidirect
144. #17985876C22semidirect
145. #17985875C22semidirect
146. #17985875C22semidirect
148. #17985872C22semidirect
149. #17985872C22semidirect
151. #17985870C22semidirect
152. #17985870C22semidirect
153. #17985868C22semidirect
155. #17985857C22semidirect
158. C4⋊C4×Dic71C22semidirect
159. C4⋊C4×Dic71C22semidirect
160. C4×Dic71⋊C4C22semidirect
161. C4×C4⋊Dic71C22semidirect
164. C22⋊C4×Dic71C22semidirect
165. C22⋊C4×Dic71C22semidirect
166. C4×(C2×D71)⋊C4C22semidirect
167. C4×(C2×D71)⋊C4C22semidirect
168. C4×(C2×D71)⋊C4C22semidirect
170. C4×C22⋊Dic71C22semidirect
171. C4×C22⋊Dic71C22semidirect
172. C4×C22⋊Dic71C22semidirect
173. C4×C22⋊Dic71C22semidirect
174. C42×Dic71C22semidirect
175. C22×#41×C71C22semidirect
178. C2×#123×C71C22semidirect
179. C2×#123×C71C22semidirect
181. C2×C22⋊Q8×C71C22semidirect
183. C2×#121×C71C22semidirect
188. C2×C4×D4×C71C22semidirect
189. C2×C4×D4×C71C22semidirect
190. C2×#117×C71C22semidirect
265. C4×C22⋊D71D4semidirect
399. C4×D4×C71D4semidirect
478. C2×C22⋊D71#41semidirect
493. C22×Dic71#41semidirect
561. C22⋊Dic71#41semidirect
657. C22×C4×C71C2×D4semidirect
673. C4⋊C4×C71C2×D4semidirect
683. C22⋊C4×C71C2×D4semidirect
685. C42×C71C2×D4semidirect
903. C22×C71#532semidirect
955. Dic71#525semidirect
974. C2×#525D71semidirect
1003. C71#34681semidirect
1005. C22×#41C2×D71semidirect
1019. C2×#123C2×D71semidirect
1020. C2×#123C2×D71semidirect
1024. C2×C22⋊Q8C2×D71semidirect
1034. C2×#121C2×D71semidirect
1062. C2×C4×D4C2×D71semidirect
1063. C2×C4×D4C2×D71semidirect
1065. C2×#117C2×D71semidirect
1272. C4×D4C22⋊D71semidirect
1556. C22×C4C2×C22⋊D71semidirect
1590. C4⋊C4C2×C22⋊D71semidirect
1642. C22⋊C4C2×C22⋊D71semidirect
1657. C42C2×C22⋊D71semidirect
1897. C22#17986545semidirect

Maximal subgroups

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

subgroupindex
C2×#179865452
C2×#179865082
C22×C4×C22⋊D712
#225924732
#225924652
#225923512
#225923432
#225923142
#225923062
#225921892
#225921042
#225920392
#225919752
#225919252
#225918822
#225918802
#225918512
#225917772
#225916932
#225915782
#225915762
#225915552
#225915532
C4×#145561242
C4×#145561002
C4×#145560972
C4×#145560962
#225907992
C4×D4×Dic712
C2×#525×C712
#3468171