Finite Group Databasebeta

← #32170119

Subgroups — #32170119

Order 18176.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986583C211yesmaximal, characteristic, complemented
2C22×C4×D284C211yesmaximal, characteristic, complemented
3#22596655C211yesmaximal, characteristic, complemented
4#22596631C211yesmaximal, characteristic, complemented
5#22596621C211yesmaximal, characteristic, complemented
6#22594239C211yesmaximal, characteristic, complemented
7#22594231C211yesmaximal, characteristic, complemented
8#22594193C211yesmaximal, characteristic, complemented
9#22594187C211yesmaximal, characteristic, complemented
10#22592600C211yesmaximal, characteristic, complemented
11#22592473C211yesmaximal, characteristic, complemented
12#22592390C211yesmaximal, characteristic, complemented
13#22592284C211yesmaximal, characteristic, complemented
14#22592238C211yesmaximal, characteristic, complemented
15#22592229C211yesmaximal, characteristic, complemented
16#22592161C211yesmaximal, characteristic, complemented
17#22592097C211yesmaximal, characteristic, complemented
18#22592073C211yesmaximal, characteristic, complemented
19#22592003C211yesmaximal, characteristic, complemented
20#22591883C211yesmaximal, characteristic, complemented
21#22591882C211yesmaximal, characteristic, complemented
22#22591807C211yesmaximal, characteristic, complemented
23#22591717C211yesmaximal, characteristic, complemented
24#22591711C211yesmaximal, characteristic, complemented
25#22591652C211yesmaximal, characteristic, complemented
26#22591044C211yesmaximal, characteristic, complemented
27#22591002C211yesmaximal, characteristic, complemented
28#22590976C211yesmaximal, characteristic, complemented
29#22590845C211yesmaximal, characteristic, complemented
30#386×D71C211yesmaximal, characteristic, complemented
31C71×#2850C211yesmaximal, characteristic, complemented
32C23×D284C2211yescharacteristic
33C22×D4×D71C2211yescharacteristic
34C23×C4×D71C2211yescharacteristic
35C23×C4×D71C2211yescharacteristic, complemented
36#17986583—28no—
37C2×#14556122C2211yescharacteristic, complemented
38C2×#14556121C2211yescharacteristic, complemented
39C2×#14556117C2211yescharacteristic, complemented
40C2×#14556112C2211yescharacteristic, complemented
41C2×#14556110C2211yescharacteristic, complemented
42C2×#14556110C2211yescharacteristic, complemented
43C2×#14556104C2211yescharacteristic, complemented
44C2×#14556101C2211yescharacteristic
45C2×#14556101C2211yescharacteristic
46C2×#14556101C2211yescharacteristic, complemented
47C2×#14556101C2211yescharacteristic, complemented
48C2×#14556100C2211yescharacteristic
49C2×#14556100C2211yescharacteristic, complemented
50C2×#14556098C2211yescharacteristic
51C2×#14556098C2211yescharacteristic
52C2×#14556098C2211yescharacteristic
53C2×#14556096C2211yescharacteristic
54C2×#14556096C2211yescharacteristic
55C2×#14556096C2211yescharacteristic, complemented
56C2×#14556096C2211yescharacteristic, complemented
57C2×C4×D284—28no—
58C2×C4×D284C2211yescharacteristic
59C2×C4×D284C2211yescharacteristic
60C2×C4×D284C2211yescharacteristic
61C2×C4×D284C2211yescharacteristic
62C2×C4×D284C2211yescharacteristic, complemented
63C2×C4×D284C2211yescharacteristic, complemented
64C2×C4×D284C2211yescharacteristic, complemented
65C2×C4×D284C2211yescharacteristic, complemented
66C2×D4×Dic71C2211yescharacteristic, complemented
67C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
68C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
69C22×C4⋊Dic71C2211yescharacteristic, complemented
70C22×(C2×D71)⋊C4C2211yescharacteristic
71C22×(C2×D71)⋊C4C2211yescharacteristic, complemented
72C2×C22⋊C4×D71C2211yescharacteristic
73C2×C22⋊C4×D71C2211yescharacteristic, complemented
74C2×C22⋊C4×D71C2211yescharacteristic, complemented
75#17985941C2211yescharacteristic, complemented
76#17985939C2211yescharacteristic, complemented
77#17985936C2211yescharacteristic, complemented
78#17985934C2211yescharacteristic, complemented
79#17985931C2211yescharacteristic, complemented
80#17985925C2211yescharacteristic, complemented
81#17985924C2211yescharacteristic, complemented
82#17985924C2211yescharacteristic, complemented
83#17985922C2211yescharacteristic, complemented
84#17985921C2211yescharacteristic, complemented
85#17985921C2211yescharacteristic, complemented
86#17985921C2211yescharacteristic, complemented
87#17985917C2211yescharacteristic, complemented
88#17985917C2211yescharacteristic, complemented
89#17985916C2211yescharacteristic, complemented
90#17985916C2211yescharacteristic, complemented
91#17985916C2211yescharacteristic, complemented
92#17985915C2211yescharacteristic, complemented
93#17985915C2211yescharacteristic, complemented
94#17985914C2211yescharacteristic, complemented
95#17985914C2211yescharacteristic, complemented
96#17985910C2211yescharacteristic, complemented
97#17985910C2211yescharacteristic, complemented
98#17985909C2211yescharacteristic
99#17985909C2211yescharacteristic
100#17985908C2211yescharacteristic
101#17985908C2211yescharacteristic
102#17985908C2211yescharacteristic, complemented
103#17985908C2211yescharacteristic, complemented
104#17985908C2211yescharacteristic, complemented
105#17985907C2211yescharacteristic, complemented
106#17985907C2211yescharacteristic, complemented
107#17985900C2211yescharacteristic, complemented
108#17985899C2211yescharacteristic, complemented
109#17985892C2211yescharacteristic, complemented
110#17985891C2211yescharacteristic, complemented
111#17985890C2211yescharacteristic, complemented
112#17985890C2211yescharacteristic, complemented
113#17985890C2211yescharacteristic, complemented
114#17985889C2211yescharacteristic, complemented
115#17985889C2211yescharacteristic, complemented
116#17985889C2211yescharacteristic, complemented
117#17985886C2211yescharacteristic, complemented
118#17985884C2211yescharacteristic, complemented
119#17985884C2211yescharacteristic, complemented
120#17985883C2211yescharacteristic, complemented
121#17985883C2211yescharacteristic, complemented
122#17985883C2211yescharacteristic, complemented
123#17985879C2211yescharacteristic
124#17985879C2211yescharacteristic
125#17985878C2211yescharacteristic
126#17985878C2211yescharacteristic
127#17985878C2211yescharacteristic
128#17985877C2211yescharacteristic
129#17985877C2211yescharacteristic
130#17985877C2211yescharacteristic
131#17985877C2211yescharacteristic
132#17985877C2211yescharacteristic, complemented
133#17985877C2211yescharacteristic, complemented
134#17985877C2211yescharacteristic, complemented
135#17985877C2211yescharacteristic, complemented
136#17985876C2211yescharacteristic
137#17985876C2211yescharacteristic, complemented
138#17985875C2211yescharacteristic, complemented
139#17985875C2211yescharacteristic, complemented
140#17985875C2211yescharacteristic, complemented
141#17985875C2211yescharacteristic, complemented
142#17985875C2211yescharacteristic, complemented
143#17985875C2211yescharacteristic, complemented
144#17985875C2211yescharacteristic, complemented
145#17985875C2211yescharacteristic, complemented
146#17985875C2211yescharacteristic, complemented
147#17985874C2211yescharacteristic, complemented
148#17985874C2211yescharacteristic, complemented
149#17985873C2211yescharacteristic, complemented
150#17985873C2211yescharacteristic, complemented
151#17985873C2211yescharacteristic, complemented
152#17985873C2211yescharacteristic, complemented
153#17985872C2211yescharacteristic, complemented
154#17985872C2211yescharacteristic, complemented
155#17985872C2211yescharacteristic, complemented
156#17985870C2211yescharacteristic, complemented
157#17985870C2211yescharacteristic, complemented
158#17985870C2211yescharacteristic, complemented
159#17985867C2211yescharacteristic, complemented
160#17985861C2211yescharacteristic, complemented
161#17985861C2211yescharacteristic, complemented
162#17985858C2211yescharacteristic, complemented
163#17985858C2211yescharacteristic, complemented
164#17985857C2211yescharacteristic, complemented
165#17985856C2211yescharacteristic, complemented
166#17985854C2211yescharacteristic
167#17985854C2211yescharacteristic, complemented
168#17985854C2211yescharacteristic, complemented
169C22⋊C4×Dic71C2211yescharacteristic, complemented
170#17985846C2211yescharacteristic, complemented
171#17985846C2211yescharacteristic, complemented
172#95×D71C2211yescharacteristic, complemented
173#95×D71C2211yescharacteristic, complemented
174C2×#124×C71C2211yescharacteristic, complemented
175C2×C22⋊Q8×C71C2211yescharacteristic, complemented
176C2×#121×C71C2211yescharacteristic
177C22×C42×C71C2211yescharacteristic, complemented
178#391×C71C2211yescharacteristic, complemented
179#390×C71C2211yescharacteristic, complemented
180#388×C71C2211yescharacteristic, complemented
181#388×C71C2211yescharacteristic, complemented
182#388×C71C2211yescharacteristic, complemented
183#388×C71C2211yescharacteristic, complemented
184#386×C71C2211yescharacteristic
185#386×C71C2211yescharacteristic
186#386×C71C2211yescharacteristic, complemented
187#386×C71C2211yescharacteristic, complemented
188#382×C71C2211yescharacteristic, complemented
189C24×D71C2311yescharacteristic
190C24×D71C2311yescharacteristic
191C24×D71C2311yescharacteristic
192C22×D284—24no—
193C22×D284—24no—
194C22×D284—24no—
195C22×D284C2311yescharacteristic
196C22×D284C2311yescharacteristic
197C22×D284C2311yescharacteristic
198C22×D284C2311yescharacteristic
199C22×D284C2311yescharacteristic
200C22×D284C2311yescharacteristic
201C22×D284C2311yescharacteristic
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
211C2×D4×D71—24no—
212C2×D4×D71—42no—
213C2×D4×D71—42no—
214C23×Dic71C2311yescharacteristic
215C23×Dic71C2311yescharacteristic
216C23×Dic71C2311yescharacteristic
217C22×C4×D71—24no—
218C22×C4×D71—24no—
219C22×C4×D71—42no—
220C22×C4×D71—42no—
221C22×C4×D71—42no—
222C22×C4×D71—42no—
223C22×C4×D71C2311yescharacteristic
224C22×C4×D71C2311yescharacteristic
225C22×C4×D71C2311yescharacteristic
226C22×C4×D71C2311yescharacteristic
227C22×C4×D71C2311yescharacteristic
228C22×C4×D71C2311yescharacteristic
229C22×C4×D71C2311yescharacteristic
230C22×C4×D71C2311yescharacteristic
231C22×C4×D71C2311yescharacteristic
232C22×C4×D71C2311yescharacteristic
233C22×C4×D71C2311yescharacteristic
234#14556122—24no—
235#14556121—24no—
236#14556117—24no—
237#14556112—24no—
238#14556110—24no—
239#14556110—42no—
240#14556104—24no—
241#14556101—24no—
242#14556101—24no—
243#14556101—24no—
244#14556101—42no—
245#14556100—24no—
246#14556100—42no—
247#14556098—24no—
248#14556098—24no—
249#14556098—42no—
250#14556096—24no—
251#14556096—24no—
252#14556096—42no—
253#14556096—42no—
254C4×D284—24no—
255C4×D284—24no—
256C4×D284—24no—
257C4×D284—24no—
258C4×D284—24no—
259C4×D284—24no—
260C4×D284—24no—
261C4×D284D418yescomplemented
262D4×Dic71—42no—
263(C22⋊D71)⋊C4—24no—
264(C22⋊D71)⋊C4—42no—
265C2×C4⋊Dic71—24no—
266C2×C4⋊Dic71C2311yescharacteristic
267C2×C4⋊Dic71C2311yescharacteristic
268C2×C4⋊Dic71C2311yescharacteristic
269C2×C4⋊Dic71C2311yescharacteristic
270C2×C4⋊Dic71C2311yescharacteristic
271C2×C4⋊Dic71C2311yescharacteristic
272C2×C4⋊Dic71C2311yescharacteristic
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×C22⋊Dic71C2311yescharacteristic
283C2×C22⋊Dic71C2311yescharacteristic
284C2×C22⋊Dic71C2311yescharacteristic
285C2×C22⋊Dic71C2311yescharacteristic
286C2×C22⋊Dic71C2311yescharacteristic
287C2×C22⋊Dic71C2311yescharacteristic
288C2×C22⋊Dic71C2311yescharacteristic
289C2×C22⋊Dic71C2311yescharacteristic
290C2×C22⋊Dic71C2311yescharacteristic
291C2×(C2×D71)⋊C4—24no—
292C2×(C2×D71)⋊C4—24no—
293C2×(C2×D71)⋊C4C2311yescharacteristic
294C2×(C2×D71)⋊C4C2311yescharacteristic
295C2×(C2×D71)⋊C4C2311yescharacteristic
296C2×(C2×D71)⋊C4C2311yescharacteristic
297C2×(C2×D71)⋊C4C2311yescharacteristic
298C2×(C2×D71)⋊C4C2311yescharacteristic
299C2×(C2×D71)⋊C4C2311yescharacteristic
300C2×(C2×D71)⋊C4C2311yescharacteristic
301C2×(C2×D71)⋊C4C2311yescharacteristic
302C2×(C2×D71)⋊C4C2311yescharacteristic
303C2×(C2×D71)⋊C4C2311yescharacteristic
304C2×(C2×D71)⋊C4C2311yescharacteristic
305C2×(C2×D71)⋊C4C2311yescharacteristic
306C2×(C2×D71)⋊C4C2311yescharacteristic
307C2×(C2×D71)⋊C4C2311yescharacteristic
308C2×(C2×D71)⋊C4C2311yescharacteristic
309C2×(C2×D71)⋊C4C2311yescharacteristic
310C2×(C2×D71)⋊C4C2311yescharacteristic
311C2×(C2×D71)⋊C4C2311yescharacteristic
312C2×(C2×D71)⋊C4C2311yescharacteristic
313C2×(C2×D71)⋊C4C2311yescharacteristic
314C2×(C2×D71)⋊C4C2311yescharacteristic
315C2×(C2×D71)⋊C4C2311yescharacteristic
316C2×(C2×D71)⋊C4C2311yescharacteristic
317C2×(C2×D71)⋊C4C2311yescharacteristic
318C2×(C2×D71)⋊C4C2311yescharacteristic
319C2×(C2×D71)⋊C4C2311yescharacteristic
320C2×(C2×D71)⋊C4C2311yescharacteristic
321C2×(C2×D71)⋊C4C2311yescharacteristic
322C2×(C2×D71)⋊C4C2311yescharacteristic
323C2×(C2×D71)⋊C4C2311yescharacteristic
324C2×(C2×D71)⋊C4C2311yescharacteristic
325C2×(C2×D71)⋊C4C2311yescharacteristic
326C2×(C2×D71)⋊C4C2311yescharacteristic
327C2×(C2×D71)⋊C4C2311yescharacteristic
328C22⋊C4×D71—24no—
329C22⋊C4×D71—42no—
330C22⋊C4×D71—42no—
331C2×C4×Dic71C2311yescharacteristic
332C2×C4×Dic71C2311yescharacteristic
333C2×C4×Dic71C2311yescharacteristic
334C71⋊#95C2311yescharacteristic
335C71⋊#95C2311yescharacteristic
336C71⋊#95C2311yescharacteristic
337C71⋊#95C2311yescharacteristic
338C71⋊#95C2311yescharacteristic
339C71⋊#95C2311yescharacteristic
340C71⋊#95C2311yescharacteristic
341C71⋊#95C2311yescharacteristic
342C71⋊#95C2311yescharacteristic
343C71⋊#95C2311yescharacteristic
344C71⋊#95C2311yescharacteristic
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
358C22×Q8×C71C2311yescharacteristic
359C22×D4×C71C2311yescharacteristic
360C22×D4×C71C2311yescharacteristic
361C22×D4×C71C2311yescharacteristic
362C23×C4×C71C2311yescharacteristic
363C23×C4×C71C2311yescharacteristic
364C23×C4×C71C2311yescharacteristic
365#124×C71—24no—
366C22⋊Q8×C71—42no—
367#121×C71—42no—
368C2×C4⋊C4×C71C2311yescharacteristic
369C2×C4⋊C4×C71C2311yescharacteristic
370C2×C4⋊C4×C71C2311yescharacteristic
371C2×C4⋊C4×C71C2311yescharacteristic
372C2×C22⋊C4×C71C2311yescharacteristic
373C2×C22⋊C4×C71C2311yescharacteristic
374C2×C22⋊C4×C71C2311yescharacteristic
375C2×C22⋊C4×C71C2311yescharacteristic
376C2×C22⋊C4×C71C2311yescharacteristic
377C2×C22⋊C4×C71C2311yescharacteristic
378C2×C22⋊C4×C71C2311yescharacteristic
379C2×C22⋊C4×C71C2311yescharacteristic
380C2×C22⋊C4×C71C2311yescharacteristic
381C2×C22⋊C4×C71C2311yescharacteristic
382C2×C22⋊C4×C71C2311yescharacteristic
383C2×C22⋊C4×C71C2311yescharacteristic
384C2×C42×C71—24no—
385C2×C42×C71C2311yescharacteristic
386C2×C42×C71C2311yescharacteristic
387C2×C42×C71C2311yescharacteristic
388C2×C42×C71C2311yescharacteristic
389#95×C71C2311yescharacteristic
390#95×C71C2311yescharacteristic
391#95×C71C2311yescharacteristic
392#95×C71C2311yescharacteristic
393#95×C71C2311yescharacteristic
394#95×C71C2311yescharacteristic
395#95×C71C2311yescharacteristic
396#95×C71C2311yescharacteristic
397C23×D71—22no—
398C23×D71—22no—
399C23×D71—22no—
400C23×D71—22no—
401C23×D71—22no—
402C23×D71—22no—
403C23×D71—22no—
404C23×D71—22no—
405C23×D71—22no—
406C23×D71—22no—
407C23×D71—22no—
408C23×D71—22no—
409C23×D71—41no—
410C23×D71—41no—
411C23×D71—41no—
412C23×D71—41no—
413C23×D71—41no—
414C23×D71—41no—
415C23×D71—41no—
416C23×D71—41no—
417C23×D71#4114yes—
418C23×D71C2411yescharacteristic
419C23×D71C2411yescharacteristic
420C23×D71C2411yescharacteristic
421C23×D71C2411yescharacteristic
422C23×D71C2411yescharacteristic
423C2×D284—232no—
424C2×D284—22no—
425C2×D284—22no—
426C2×D284—22no—
427C2×D284—22no—
428C2×D284—22no—
429C2×D284—22no—
430C2×D284—22no—
431C2×D284—22no—
432C2×D284—22no—
433C2×D284—22no—
434C2×D284—22no—
435C2×D284—22no—
436C2×D284—22no—
437C2×D284—41no—
438C2×D284—41no—
439C2×D284—41no—
440C2×D284—41no—
441C2×D284—41no—
442C2×D284—41no—
443C2×D284C2×D414yes—
444C2×D284#4114yes—
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—41no—
459C2×C22⋊D71—41no—
460C2×C22⋊D71—41no—
461C2×C22⋊D71—41no—
462C2×C22⋊D71—41no—
463C2×C22⋊D71—41no—
464C2×C22⋊D71—41no—
465C2×C22⋊D71—41no—
466C2×C22⋊D71—41no—
467C2×C22⋊D71—41no—
468C2×C22⋊D71—41no—
469C2×C22⋊D71—41no—
470C2×C22⋊D71—41no—
471C2×C22⋊D71—41no—
472D4×D71—416no—
473C22×Dic71—22no—
474C22×Dic71—22no—
475C22×Dic71—22no—
476C22×Dic71—22no—
477C22×Dic71—22no—
478C22×Dic71—41no—
479C22×Dic71—41no—
480C22×Dic71—41no—
481C22×Dic71—41no—
482C22×Dic71C2411yescharacteristic
483C22×Dic71C2411yescharacteristic
484C22×Dic71C2411yescharacteristic
485C22×Dic71C2411yescharacteristic
486C22×Dic71C2411yescharacteristic
487C22×Dic71C2411yescharacteristic
488C22×Dic71C2411yescharacteristic
489C22×Dic71C2411yescharacteristic
490C22×Dic71C2411yescharacteristic
491C22×Dic71C2411yescharacteristic
492C22×Dic71C2411yescharacteristic
493C2×C4×D71—22no—
494C2×C4×D71—22no—
495C2×C4×D71—22no—
496C2×C4×D71—22no—
497C2×C4×D71—22no—
498C2×C4×D71—22no—
499C2×C4×D71—22no—
500C2×C4×D71—22no—
501C2×C4×D71—22no—
502C2×C4×D71—22no—
503C2×C4×D71—22no—
504C2×C4×D71—22no—
505C2×C4×D71—22no—
506C2×C4×D71—41no—
507C2×C4×D71—41no—
508C2×C4×D71—41no—
509C2×C4×D71—41no—
510C2×C4×D71—41no—
511C2×C4×D71—41no—
512C2×C4×D71—41no—
513C2×C4×D71—41no—
514C2×C4×D71—41no—
515C2×C4×D71—41no—
516C2×C4×D71—41no—
517C2×C4×D71—41no—
518C2×C4×D71—41no—
519C2×C4×D71—41no—
520C2×C4×D71—416no—
521C2×C4×D71—416no—
522C2×C4×D71—41no—
523C2×C4×D71—41no—
524C2×C4×D71—41no—
525C2×C4×D71—41no—
526C2×C4×D71C2×D414yes—
527C2×C4×D71C2×D414yescomplemented
528C4⋊Dic71—22no—
529C4⋊Dic71—22no—
530C4⋊Dic71—22no—
531C4⋊Dic71—22no—
532C4⋊Dic71—41no—
533C4⋊Dic71—41no—
534C4⋊Dic71C2×D414yescomplemented
535Dic71⋊C4—22no—
536Dic71⋊C4—22no—
537Dic71⋊C4—22no—
538Dic71⋊C4—22no—
539Dic71⋊C4—22no—
540Dic71⋊C4—22no—
541Dic71⋊C4—41no—
542Dic71⋊C4—41no—
543Dic71⋊C4—41no—
544C22⋊Dic71—22no—
545C22⋊Dic71—22no—
546C22⋊Dic71—22no—
547C22⋊Dic71—22no—
548C22⋊Dic71—22no—
549C22⋊Dic71—41no—
550C22⋊Dic71—41no—
551C22⋊Dic71—41no—
552C22⋊Dic71—41no—
553(C2×D71)⋊C4—22no—
554(C2×D71)⋊C4—22no—
555(C2×D71)⋊C4—22no—
556(C2×D71)⋊C4—22no—
557(C2×D71)⋊C4—22no—
558(C2×D71)⋊C4—22no—
559(C2×D71)⋊C4—22no—
560(C2×D71)⋊C4—22no—
561(C2×D71)⋊C4—22no—
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—41no—
572(C2×D71)⋊C4—41no—
573(C2×D71)⋊C4—41no—
574(C2×D71)⋊C4—41no—
575(C2×D71)⋊C4—41no—
576(C2×D71)⋊C4—41no—
577(C2×D71)⋊C4—41no—
578(C2×D71)⋊C4—41no—
579(C2×D71)⋊C4—41no—
580(C2×D71)⋊C4—41no—
581(C2×D71)⋊C4—41no—
582(C2×D71)⋊C4—41no—
583(C2×D71)⋊C4—41no—
584(C2×D71)⋊C4—41no—
585(C2×D71)⋊C4—41no—
586(C2×D71)⋊C4C2×D414yes—
587(C2×D71)⋊C4C2×D414yescomplemented
588C4×Dic71—22no—
589C4×Dic71—41no—
590C4×Dic71—41no—
591C24×C71C2411yescharacteristic
592C24×C71C2411yescharacteristic
593C24×C71C2411yescharacteristic
594C2×Q8×C71—22no—
595C2×Q8×C71—41no—
596C2×Q8×C71—41no—
597C2×D4×C71—22no—
598C2×D4×C71—22no—
599C2×D4×C71—22no—
600C2×D4×C71—22no—
601C2×D4×C71—22no—
602C2×D4×C71—22no—
603C2×D4×C71—22no—
604C2×D4×C71—41no—
605C2×D4×C71—41no—
606C22×C4×C71—22no—
607C22×C4×C71—22no—
608C22×C4×C71—22no—
609C22×C4×C71—22no—
610C22×C4×C71—22no—
611C22×C4×C71—22no—
612C22×C4×C71—22no—
613C22×C4×C71—22no—
614C22×C4×C71—41no—
615C22×C4×C71C2411yescharacteristic
616C22×C4×C71C2411yescharacteristic
617C22×C4×C71C2411yescharacteristic
618C22×C4×C71C2411yescharacteristic
619C22×C4×C71C2411yescharacteristic
620C22×C4×C71C2411yescharacteristic
621C22×C4×C71C2411yescharacteristic
622C22×C4×C71C2411yescharacteristic
623C22×C4×C71C2411yescharacteristic
624C22×C4×C71C2411yescharacteristic
625C22×C4×C71C2411yescharacteristic
626C22×C4×C71C2411yescharacteristic
627C4⋊C4×C71—41no—
628C4⋊C4×C71—41no—
629C4⋊C4×C71—41no—
630C4⋊C4×C71—41no—
631C22⋊C4×C71—22no—
632C22⋊C4×C71—22no—
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—41no—
642C22⋊C4×C71—41no—
643C42×C71—22no—
644C42×C71—22no—
645C42×C71—22no—
646C42×C71C2×D414yescomplemented
647C23×C71—21no—
648C23×C71—21no—
649C23×C71—21no—
650C23×C71—21no—
651C23×C71—21no—
652C23×C71—21no—
653C23×C71—21no—
654C23×C71—21no—
655C23×C71—21no—
656C23×C71—21no—
657C23×C71—21no—
658C23×C71—21no—
659C23×C71—21no—
660C23×C71—21no—
661C23×C71—21no—
662C23×C71—21no—
663C23×C71—21no—
664C23×C71—21no—
665C23×C71C2×#4112yes—
666C23×C71H(5,𝔽2)12yes—
667C23×C71H(5,𝔽2)12yes—
668C23×C71C2511yescharacteristic
669C22×D71—21no—
670C22×D71—21no—
671C22×D71—21no—
672C22×D71—21no—
673C22×D71—28no—
674C22×D71—28no—
675C22×D71—21no—
676C22×D71—21no—
677C22×D71—21no—
678C22×D71—21no—
679C22×D71—21no—
680C22×D71—21no—
681C22×D71—21no—
682C22×D71—21no—
683C22×D71—21no—
684C22×D71—21no—
685C22×D71—21no—
686C22×D71—21no—
687C22×D71—21no—
688C22×D71—21no—
689C22×D71—21no—
690C22×D71—21no—
691C22×D71—21no—
692C22×D71—21no—
693C22×D71—28no—
694C22×D71—21no—
695C22×D71—21no—
696C22×D71—21no—
697C22×D71—21no—
698C22×D71—21no—
699C22×D71—21no—
700C22×D71—21no—
701C22×D71—44no—
702C22×D71—44no—
703C22×D71—44no—
704C22×D71—44no—
705C22×D71—44no—
706C22×D71—44no—
707C22×D71—44no—
708C22×D71—44no—
709C22×D71—44no—
710C22×D71—44no—
711C22×D71—44no—
712C22×D71—44no—
713C22×D71—44no—
714C22×D71—44no—
715C22×D71—82no—
716C22×D71—82no—
717C22×D71—82no—
718C22×D71—82no—
719C22×D71C22×D412yes—
720C22×D71C22×D412yes—
721C22×D71C2×#4112yes—
722C22×D71C2×#4112yes—
723C22×D71C2×#4112yes—
724C22×D71C2×#4112yes—
725Q8×C71—82no—
726D4×C71—44no—
727D4×C71—44no—
728D4×C71—82no—
729C2×C4×C71—28no—
730C2×C4×C71—28no—
731C2×C4×C71—21no—
732C2×C4×C71—21no—
733C2×C4×C71—21no—
734C2×C4×C71—21no—
735C2×C4×C71—21no—
736C2×C4×C71—21no—
737C2×C4×C71—21no—
738C2×C4×C71—21no—
739C2×C4×C71—21no—
740C2×C4×C71—21no—
741C2×C4×C71—21no—
742C2×C4×C71—21no—
743C2×C4×C71—21no—
744C2×C4×C71—21no—
745C2×C4×C71—21no—
746C2×C4×C71—21no—
747C2×C4×C71—21no—
748C2×C4×C71—21no—
749C2×C4×C71—21no—
750C2×C4×C71—21no—
751C2×C4×C71—21no—
752C2×C4×C71—21no—
753C2×C4×C71—21no—
754C2×C4×C71—21no—
755C2×C4×C71—21no—
756C2×C4×C71—21no—
757C2×C4×C71—21no—
758C2×C4×C71—21no—
759C2×C4×C71—21no—
760C2×C4×C71—21no—
761C2×C4×C71—21no—
762C2×C4×C71—44no—
763C2×C4×C71C22×D412yes—
764C2×C4×C71C22×D412yes—
765C2×C4×C71C22×D412yes—
766C2×C4×C71C2×#4112yes—
767C2×C4×C71H(5,𝔽2)12yes—
768C22⋊D71—44no—
769C22⋊D71—44no—
770C22⋊D71—44no—
771C22⋊D71—44no—
772C22⋊D71—82no—
773C22⋊D71—82no—
774C22⋊D71—82no—
775C22⋊D71—82no—
776C22⋊D71—82no—
777C2×Dic71—21no—
778C2×Dic71—21no—
779C2×Dic71—21no—
780C2×Dic71—21no—
781C2×Dic71—21no—
782C2×Dic71—21no—
783C2×Dic71—21no—
784C2×Dic71—21no—
785C2×Dic71—21no—
786C2×Dic71—21no—
787C2×Dic71—21no—
788C2×Dic71—21no—
789C2×Dic71—21no—
790C2×Dic71—21no—
791C2×Dic71—21no—
792C2×Dic71—21no—
793C2×Dic71—21no—
794C2×Dic71—21no—
795C2×Dic71—21no—
796C2×Dic71—21no—
797C2×Dic71—21no—
798C2×Dic71—21no—
799C2×Dic71—21no—
800C2×Dic71—21no—
801C2×Dic71—21no—
802C2×Dic71—21no—
803C2×Dic71—21no—
804C2×Dic71—21no—
805C2×Dic71—21no—
806C2×Dic71—21no—
807C2×Dic71—21no—
808C2×Dic71—44no—
809C2×Dic71—44no—
810C2×Dic71—82no—
811C2×Dic71C22×D412yes—
812C2×Dic71C22×D412yes—
813D284—28no—
814D284—28no—
815D284—28no—
816D284—28no—
817D284—44no—
818D284—82no—
819D284—82no—
820C4×D71—44no—
821C4×D71—44no—
822C4×D71—44no—
823C4×D71—44no—
824C4×D71—44no—
825C4×D71—44no—
826C4×D71—44no—
827C4×D71—44no—
828C4×D71—44no—
829C4×D71—82no—
830C4×D71—82no—
831C22×C71—22no—
832C22×C71—22no—
833C22×C71—22no—
834C22×C71—22no—
835C22×C71—22no—
836C22×C71—22no—
837C22×C71—41no—
838C22×C71—41no—
839C22×C71—41no—
840C22×C71—41no—
841C22×C71—41no—
842C22×C71—41no—
843C22×C71—41no—
844C22×C71—41no—
845C22×C71—41no—
846C22×C71—41no—
847C22×C71—41no—
848C22×C71—41no—
849C22×C71—41no—
850C22×C71—41no—
851C22×C71#53814yescomplemented
852C22×C71C23×D411yescharacteristic
853C22×C71C22×#4111yescharacteristic
854C22×C71C22×#4111yescharacteristic
855C22×C71C2×H(5,𝔽2)11yescharacteristic
856C22×C71C2×H(5,𝔽2)11yescharacteristic
857C22×C71C2×H(5,𝔽2)11yescharacteristic
858C22×C71#58511yescharacteristic
859C2×D71—22no—
860C2×D71—22no—
861C2×D71—22no—
862C2×D71—22no—
863C2×D71—22no—
864C2×D71—22no—
865C2×D71—22no—
866C2×D71—22no—
867C2×D71—22no—
868C2×D71—22no—
869C2×D71—22no—
870C2×D71—22no—
871C2×D71—22no—
872C2×D71—22no—
873C2×D71—22no—
874C2×D71—416no—
875C2×D71—416no—
876C2×D71—41no—
877C2×D71—41no—
878C2×D71—41no—
879C2×D71—41no—
880C2×D71—41no—
881C2×D71—41no—
882C2×D71—41no—
883C2×D71—41no—
884C2×D71—41no—
885C2×D71—41no—
886C2×D71—41no—
887C2×D71—41no—
888C2×D71—41no—
889C2×D71—41no—
890C2×D71—41no—
891C2×D71—41no—
892C2×D71—41no—
893C2×D71—41no—
894C2×D71—41no—
895C2×D71—88no—
896C2×D71#52514yes—
897C4×C71—22no—
898C4×C71—22no—
899C4×C71—22no—
900C4×C71—22no—
901C4×C71—22no—
902C4×C71—41no—
903C4×C71—41no—
904C4×C71—41no—
905C4×C71—41no—
906C4×C71—41no—
907C4×C71—41no—
908C4×C71—41no—
909Dic71—22no—
910Dic71—22no—
911Dic71—41no—
912Dic71—41no—
913Dic71—41no—
914Dic71—41no—
915Dic71—41no—
916Dic71—41no—
917Dic71—41no—
918Dic71—41no—
919Dic71—41no—
920#34990—711nomaximal, Sylow
921C2×C71—24no—
922C2×C71—81no—
923C2×C71—81no—
924C2×C71C2×#52511yescharacteristic
925C2×C71C2×#53811yescharacteristic
926C2×C71#345911yescharacteristic
927C2×C71#348411yescharacteristic
928C2×C71#348811yescharacteristic
929C2×C71#351311yescharacteristic
930C2×C71#351911yescharacteristic
931D71—24no—
932D71—42no—
933D71—42no—
934D71—42no—
935D71—81no—
936C2×#538—711no—
937C22×C4×D4—711no—
938#2852—711no—
939#2850D7111yescharacteristic, complemented
940#2849—711no—
941#2847—711no—
942#2636—711no—
943#2635—711no—
944#2631—711no—
945#2630—711no—
946#2481—711no—
947#2472—711no—
948#2467—711no—
949#2459—711no—
950#2456—711no—
951#2456—711no—
952#2450—711no—
953#2444—711no—
954#2443—711no—
955#2437—711no—
956#2424—711no—
957#2424—711no—
958#2418—711no—
959#2410—711no—
960#2410—711no—
961#2403—711no—
962#2325—711no—
963#2321—711no—
964#2318—711no—
965C4×#120—711no—
966C2×#386—711no—
967C71#3499011yescharacteristic, complemented, Sylow
968C23×D4—711no—
969C23×D4—711no—
970C24×C4—711no—
971C24×C4—711no—
972#538—1428no—
973C2×#126—711no—
974C2×#126—711no—
975C2×#124—711no—
976C2×#124C2×D7111yescharacteristic, complemented
977C2×#123—711no—
978C2×#123—711no—
979C2×#123—711no—
980C2×C22⋊Q8—711no—
981C2×C22⋊Q8C2×D7111yescharacteristic, complemented
982C2×#121—711no—
983C2×#121—711no—
984C2×#121—711no—
985C2×#121—711no—
986C2×#121—711no—
987C2×#121—711no—
988C2×#121C2×D7111yescharacteristic
989C2×#120—711no—
990C2×#120—711no—
991C2×#120—711no—
992C2×#120—711no—
993C2×#120—711no—
994C2×#120—711no—
995C2×#120—711no—
996C2×C4×D4—711no—
997C2×C4×D4—711no—
998C2×C4×D4—711no—
999C2×C4×D4—711no—
1000C2×C4×D4—711no—
1001C2×C4×D4—711no—
1002C2×C4×D4—711no—
1003C2×C4×D4—711no—
1004C2×C4×D4—711no—
1005C2×C4×D4—711no—
1006C2×C4×D4—711no—
1007C2×C4×D4—1428no—
1008C22×C4⋊C4—711no—
1009C22×C22⋊C4—711no—
1010C22×C22⋊C4—711no—
1011C22×C22⋊C4—711no—
1012C22×C22⋊C4—711no—
1013C22×C22⋊C4—711no—
1014C22×C42C2×D7111yescharacteristic, complemented
1015#400—711no—
1016#400—711no—
1017#399—711no—
1018#399—711no—
1019#398—711no—
1020#397—711no—
1021#397—711no—
1022#397—711no—
1023#396—711no—
1024#396—711no—
1025#396—711no—
1026#396—711no—
1027#394—711no—
1028#394—711no—
1029#394—711no—
1030#394—711no—
1031#394—711no—
1032#394—711no—
1033#394—711no—
1034#394—711no—
1035#394—711no—
1036#393—711no—
1037#393—711no—
1038#392—711no—
1039#392—711no—
1040#392—711no—
1041#392—711no—
1042#392—711no—
1043#392—711no—
1044#392—711no—
1045#392—711no—
1046#392—711no—
1047#391C2×D7111yescharacteristic, complemented
1048#390—711no—
1049#390—711no—
1050#390C2×D7111yescharacteristic, complemented
1051#388—711no—
1052#388—711no—
1053#388—711no—
1054#388—711no—
1055#388—711no—
1056#388—711no—
1057#388—711no—
1058#388—711no—
1059#388C2×D7111yescharacteristic, complemented
1060#388C2×D7111yescharacteristic, complemented
1061#388C2×D7111yescharacteristic, complemented
1062#388C2×D7111yescharacteristic, complemented
1063#387—711no—
1064#387—711no—
1065#387—711no—
1066#387—711no—
1067#387—711no—
1068#387—711no—
1069#386—711no—
1070#386—711no—
1071#386—711no—
1072#386—711no—
1073#386—711no—
1074#386—711no—
1075#386—711no—
1076#386—711no—
1077#386—711no—
1078#386—711no—
1079#386—711no—
1080#386—711no—
1081#386—711no—
1082#386—711no—
1083#386—711no—
1084#386—711no—
1085#386—711no—
1086#386—711no—
1087#386—711no—
1088#386—711no—
1089#386—711no—
1090#386—711no—
1091#386—711no—
1092#386—711no—
1093#386C2×D7111yescharacteristic
1094#386C2×D7111yescharacteristic
1095#386C2×D7111yescharacteristic, complemented
1096#386C2×D7111yescharacteristic, complemented
1097#385—711no—
1098#385—711no—
1099#385—711no—
1100#385—711no—
1101#385—711no—
1102#385—711no—
1103#385—711no—
1104#385—711no—
1105#385—711no—
1106#385—711no—
1107#385—711no—
1108#385—711no—
1109#383—711no—
1110#382C2×D7111yescharacteristic, complemented
1111#381—711no—
1112#381—711no—
1113#380—711no—
1114#380—711no—
1115#380—711no—
1116#380—711no—
1117#379—711no—
1118#379—711no—
1119#379—711no—
1120C4×C22⋊C4—711no—
1121C4×C22⋊C4—711no—
1122C4×C22⋊C4—711no—
1123C2×#95—711no—
1124C2×#95—711no—
1125C25—711no—
1126C25—711no—
1127C25—711no—
1128C22×Q8C22×D7111yescharacteristic
1129C22×D4—2842no—
1130C22×D4—2842no—
1131C22×D4—711no—
1132C22×D4—711no—
1133C22×D4—711no—
1134C22×D4—711no—
1135C22×D4—711no—
1136C22×D4—711no—
1137C22×D4—711no—
1138C22×D4—711no—
1139C22×D4—711no—
1140C22×D4—711no—
1141C22×D4—711no—
1142C22×D4—711no—
1143C22×D4—711no—
1144C22×D4—711no—
1145C22×D4—711no—
1146C22×D4—711no—
1147C22×D4—1424no—
1148C22×D4—1424no—
1149C22×D4—1424no—
1150C22×D4—1424no—
1151C22×D4C22×D7111yescharacteristic
1152C22×D4C22×D7111yescharacteristic
1153C22×D4C22×D7111yescharacteristic
1154C23×C4—2842no—
1155C23×C4—2842no—
1156C23×C4—2842no—
1157C23×C4—2842no—
1158C23×C4—711no—
1159C23×C4—711no—
1160C23×C4—711no—
1161C23×C4—711no—
1162C23×C4—711no—
1163C23×C4—711no—
1164C23×C4—711no—
1165C23×C4—711no—
1166C23×C4—711no—
1167C23×C4—711no—
1168C23×C4—711no—
1169C23×C4—711no—
1170C23×C4—711no—
1171C23×C4—711no—
1172C23×C4—1424no—
1173C23×C4—1424no—
1174C23×C4C22×D7111yescharacteristic
1175C23×C4C22×D7111yescharacteristic
1176C23×C4C22×D7111yescharacteristic
1177#126—1424no—
1178#126—1424no—
1179#124—24no—
1180#124—1424no—
1181#123—2842no—
1182#123—1424no—
1183#123—1424no—
1184C22⋊Q8—42no—
1185C22⋊Q8—1424no—
1186#121—42no—
1187#121—2842no—
1188#121—2842no—
1189#121—1424no—
1190#121—1424no—
1191#121—1424no—
1192#121—1424no—
1193#120—2842no—
1194#120—2842no—
1195#120—2842no—
1196#120—1424no—
1197#120—1424no—
1198#120—1424no—
1199#120—1424no—
1200C4×D4—2842no—
1201C4×D4—2842no—
1202C4×D4—718no—
1203C4×D4—1424no—
1204C4×D4—1424no—
1205C4×D4—1424no—
1206C4×D4—1424no—
1207C4×D4—1424no—
1208C4×D4—1424no—
1209C4×D4—1424no—
1210C4×D4—1424no—
1211C2×C4⋊C4—711no—
1212C2×C4⋊C4—711no—
1213C2×C4⋊C4—711no—
1214C2×C4⋊C4—711no—
1215C2×C4⋊C4—711no—
1216C2×C4⋊C4—711no—
1217C2×C4⋊C4—711no—
1218C2×C4⋊C4—711no—
1219C2×C4⋊C4—711no—
1220C2×C4⋊C4—711no—
1221C2×C4⋊C4—711no—
1222C2×C4⋊C4—711no—
1223C2×C4⋊C4—711no—
1224C2×C4⋊C4—711no—
1225C2×C4⋊C4—711no—
1226C2×C4⋊C4—711no—
1227C2×C4⋊C4—1424no—
1228C2×C4⋊C4C22×D7111yescharacteristic
1229C2×C4⋊C4C22×D7111yescharacteristic
1230C2×C4⋊C4C22×D7111yescharacteristic
1231C2×C4⋊C4C22×D7111yescharacteristic
1232C2×C22⋊C4—2842no—
1233C2×C22⋊C4—2842no—
1234C2×C22⋊C4—711no—
1235C2×C22⋊C4—711no—
1236C2×C22⋊C4—711no—
1237C2×C22⋊C4—711no—
1238C2×C22⋊C4—711no—
1239C2×C22⋊C4—711no—
1240C2×C22⋊C4—711no—
1241C2×C22⋊C4—711no—
1242C2×C22⋊C4—711no—
1243C2×C22⋊C4—711no—
1244C2×C22⋊C4—711no—
1245C2×C22⋊C4—711no—
1246C2×C22⋊C4—711no—
1247C2×C22⋊C4—711no—
1248C2×C22⋊C4—711no—
1249C2×C22⋊C4—711no—
1250C2×C22⋊C4—711no—
1251C2×C22⋊C4—711no—
1252C2×C22⋊C4—711no—
1253C2×C22⋊C4—711no—
1254C2×C22⋊C4—711no—
1255C2×C22⋊C4—711no—
1256C2×C22⋊C4—711no—
1257C2×C22⋊C4—711no—
1258C2×C22⋊C4—711no—
1259C2×C22⋊C4—711no—
1260C2×C22⋊C4—711no—
1261C2×C22⋊C4—711no—
1262C2×C22⋊C4—711no—
1263C2×C22⋊C4—711no—
1264C2×C22⋊C4—711no—
1265C2×C22⋊C4—711no—
1266C2×C22⋊C4—711no—
1267C2×C22⋊C4—711no—
1268C2×C22⋊C4—711no—
1269C2×C22⋊C4—711no—
1270C2×C22⋊C4—711no—
1271C2×C22⋊C4—711no—
1272C2×C22⋊C4—711no—
1273C2×C22⋊C4—711no—
1274C2×C22⋊C4—711no—
1275C2×C22⋊C4—711no—
1276C2×C22⋊C4—711no—
1277C2×C22⋊C4—711no—
1278C2×C22⋊C4—1424no—
1279C2×C22⋊C4—1424no—
1280C2×C22⋊C4—1424no—
1281C2×C22⋊C4C22×D7111yescharacteristic
1282C2×C22⋊C4C22×D7111yescharacteristic
1283C2×C22⋊C4C22×D7111yescharacteristic
1284C2×C22⋊C4C22×D7111yescharacteristic
1285C2×C22⋊C4C22×D7111yescharacteristic
1286C2×C22⋊C4C22×D7111yescharacteristic
1287C2×C22⋊C4C22×D7111yescharacteristic
1288C2×C22⋊C4C22×D7111yescharacteristic
1289C2×C22⋊C4C22×D7111yescharacteristic
1290C2×C22⋊C4C22×D7111yescharacteristic
1291C2×C22⋊C4C22×D7111yescharacteristic
1292C2×C22⋊C4C22×D7111yescharacteristic
1293C2×C42—24no—
1294C2×C42—711no—
1295C2×C42—711no—
1296C2×C42—711no—
1297C2×C42C22×D7111yescharacteristic
1298C2×C42C22×D7111yescharacteristic
1299C2×C42C22×D7111yescharacteristic
1300C2×C42C22×D7111yescharacteristic
1301#95—711no—
1302#95—711no—
1303#95—711no—
1304#95—711no—
1305#95—711no—
1306#95—711no—
1307#95—711no—
1308#95—711no—
1309#95—711no—
1310#95—711no—
1311#95—711no—
1312#95—711no—
1313#95—711no—
1314#95—711no—
1315#95—711no—
1316#95—711no—
1317#95—711no—
1318#95—711no—
1319#95—711no—
1320#95—711no—
1321#95—711no—
1322#95—711no—
1323#95—711no—
1324#95—711no—
1325#95C22×D7111yescharacteristic
1326#95C22×D7111yescharacteristic
1327#95C22×D7111yescharacteristic
1328#95C22×D7111yescharacteristic
1329#95C22×D7111yescharacteristic
1330#95C22×D7111yescharacteristic
1331#95C22×D7111yescharacteristic
1332#95C22×D7111yescharacteristic
1333C24—2841no—
1334C24—2841no—
1335C24—2841no—
1336C24—2841no—
1337C24—2841no—
1338C24—2841no—
1339C24—2841no—
1340C24—2841no—
1341C24—714no—
1342C24—711no—
1343C24—711no—
1344C24—711no—
1345C24—711no—
1346C24—711no—
1347C24—1422no—
1348C24—1422no—
1349C24—1422no—
1350C24—1422no—
1351C24—1422no—
1352C24—1422no—
1353C24—1422no—
1354C24—1422no—
1355C24—1422no—
1356C24—1422no—
1357C24—1422no—
1358C24—1422no—
1359C24C23×D7111yescharacteristic
1360C24C23×D7111yescharacteristic
1361C24C23×D7111yescharacteristic
1362C2×Q8—22no—
1363C2×Q8—41no—
1364C2×Q8—41no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—2841no—
1375C2×D4—2841no—
1376C2×D4—2841no—
1377C2×D4—2841no—
1378C2×D4—2841no—
1379C2×D4—2841no—
1380C2×D4—28416no—
1381C2×D4—2841no—
1382C2×D4—2841no—
1383C2×D4—2841no—
1384C2×D4—2841no—
1385C2×D4—2841no—
1386C2×D4—2841no—
1387C2×D4—2841no—
1388C2×D4—2841no—
1389C2×D4—2841no—
1390C2×D4—2841no—
1391C2×D4—2841no—
1392C2×D4—2841no—
1393C2×D4—2841no—
1394C2×D4—2841no—
1395C2×D4—714no—
1396C2×D4—714no—
1397C2×D4—1422no—
1398C2×D4—1422no—
1399C2×D4—1422no—
1400C2×D4—1422no—
1401C2×D4—1422no—
1402C2×D4—1422no—
1403C2×D4—1422no—
1404C2×D4—1422no—
1405C2×D4—1422no—
1406C2×D4—1422no—
1407C2×D4—1422no—
1408C2×D4—14232no—
1409C2×D4—1422no—
1410C2×D4—1422no—
1411C2×D4—1422no—
1412C2×D4—1422no—
1413C2×D4—1422no—
1414C2×D4—1422no—
1415C2×D4—1422no—
1416C2×D4—1422no—
1417C2×D4—1422no—
1418C2×D4—1422no—
1419C2×D4—1422no—
1420C2×D4—1422no—
1421C2×D4—1422no—
1422C2×D4—1422no—
1423C2×D4—1422no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—41no—
1433C22×C4—28416no—
1434C22×C4—28416no—
1435C22×C4—2841no—
1436C22×C4—2841no—
1437C22×C4—2841no—
1438C22×C4—2841no—
1439C22×C4—2841no—
1440C22×C4—2841no—
1441C22×C4—2841no—
1442C22×C4—2841no—
1443C22×C4—2841no—
1444C22×C4—2841no—
1445C22×C4—2841no—
1446C22×C4—2841no—
1447C22×C4—2841no—
1448C22×C4—2841no—
1449C22×C4—2841no—
1450C22×C4—2841no—
1451C22×C4—2841no—
1452C22×C4—2841no—
1453C22×C4—2841no—
1454C22×C4—2841no—
1455C22×C4—2841no—
1456C22×C4—2841no—
1457C22×C4—714no—
1458C22×C4—714no—
1459C22×C4—711no—
1460C22×C4—711no—
1461C22×C4—711no—
1462C22×C4—711no—
1463C22×C4—711no—
1464C22×C4—711no—
1465C22×C4—711no—
1466C22×C4—711no—
1467C22×C4—711no—
1468C22×C4—711no—
1469C22×C4—711no—
1470C22×C4—1422no—
1471C22×C4—1422no—
1472C22×C4—1422no—
1473C22×C4—1422no—
1474C22×C4—1422no—
1475C22×C4—1422no—
1476C22×C4—1422no—
1477C22×C4—1422no—
1478C22×C4—1422no—
1479C22×C4—1422no—
1480C22×C4—1422no—
1481C22×C4—1422no—
1482C22×C4—1422no—
1483C22×C4—1422no—
1484C22×C4—1422no—
1485C22×C4—1422no—
1486C22×C4—1422no—
1487C22×C4—1422no—
1488C22×C4C23×D7111yescharacteristic
1489C22×C4C23×D7111yescharacteristic
1490C22×C4C23×D7111yescharacteristic
1491C22×C4C23×D7111yescharacteristic
1492C22×C4C23×D7111yescharacteristic
1493C22×C4C23×D7111yescharacteristic
1494C22×C4C23×D7111yescharacteristic
1495C22×C4C23×D7111yescharacteristic
1496C22×C4C23×D7111yescharacteristic
1497C22×C4C23×D7111yescharacteristic
1498C22×C4C23×D7111yescharacteristic
1499C22×C4C23×D7111yescharacteristic
1500C4⋊C4—41no—
1501C4⋊C4—41no—
1502C4⋊C4—41no—
1503C4⋊C4—41no—
1504C4⋊C4—2841no—
1505C4⋊C4—2841no—
1506C4⋊C4—2841no—
1507C4⋊C4—2841no—
1508C4⋊C4—2841no—
1509C4⋊C4—714no—
1510C4⋊C4—1422no—
1511C4⋊C4—1422no—
1512C4⋊C4—1422no—
1513C4⋊C4—1422no—
1514C4⋊C4—1422no—
1515C4⋊C4—1422no—
1516C4⋊C4—1422no—
1517C4⋊C4—1422no—
1518C4⋊C4—1422no—
1519C4⋊C4—1422no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—2841no—
1533C22⋊C4—2841no—
1534C22⋊C4—2841no—
1535C22⋊C4—2841no—
1536C22⋊C4—2841no—
1537C22⋊C4—2841no—
1538C22⋊C4—2841no—
1539C22⋊C4—2841no—
1540C22⋊C4—2841no—
1541C22⋊C4—2841no—
1542C22⋊C4—2841no—
1543C22⋊C4—2841no—
1544C22⋊C4—2841no—
1545C22⋊C4—2841no—
1546C22⋊C4—2841no—
1547C22⋊C4—2841no—
1548C22⋊C4—2841no—
1549C22⋊C4—2841no—
1550C22⋊C4—2841no—
1551C22⋊C4—714no—
1552C22⋊C4—714no—
1553C22⋊C4—1422no—
1554C22⋊C4—1422no—
1555C22⋊C4—1422no—
1556C22⋊C4—1422no—
1557C22⋊C4—1422no—
1558C22⋊C4—1422no—
1559C22⋊C4—1422no—
1560C22⋊C4—1422no—
1561C22⋊C4—1422no—
1562C22⋊C4—1422no—
1563C22⋊C4—1422no—
1564C22⋊C4—1422no—
1565C22⋊C4—1422no—
1566C22⋊C4—1422no—
1567C22⋊C4—1422no—
1568C22⋊C4—1422no—
1569C22⋊C4—1422no—
1570C22⋊C4—1422no—
1571C22⋊C4—1422no—
1572C22⋊C4—1422no—
1573C22⋊C4—1422no—
1574C22⋊C4—1422no—
1575C22⋊C4—1422no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—2841no—
1580C42—2841no—
1581C42—1422no—
1582C42D4×D7114yescomplemented
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—2844no—
1602C23—2844no—
1603C23—2844no—
1604C23—2844no—
1605C23—2844no—
1606C23—2844no—
1607C23—2844no—
1608C23—2844no—
1609C23—2844no—
1610C23—2844no—
1611C23—2844no—
1612C23—2844no—
1613C23—2844no—
1614C23—2844no—
1615C23—5682no—
1616C23—5682no—
1617C23—5682no—
1618C23—5682no—
1619C23—712no—
1620C23—712no—
1621C23—712no—
1622C23—712no—
1623C23—712no—
1624C23—712no—
1625C23—1428no—
1626C23—1428no—
1627C23—1421no—
1628C23—1421no—
1629C23—1421no—
1630C23—1421no—
1631C23—1421no—
1632C23—1421no—
1633C23—1421no—
1634C23—1421no—
1635C23—1421no—
1636C23—1421no—
1637C23—1421no—
1638C23—1421no—
1639C23—1421no—
1640C23—1421no—
1641C23—1421no—
1642C23—1421no—
1643C23—1421no—
1644C23—1421no—
1645C23—1421no—
1646C23—1421no—
1647C23—1421no—
1648C23—1421no—
1649C23—1421no—
1650C23—1421no—
1651C23—1421no—
1652C23—1428no—
1653C23—1421no—
1654C23—1421no—
1655C23—1421no—
1656C23—1421no—
1657C23#41×D7112yes—
1658C23#1455617312yes—
1659C23#1455617412yes—
1660C23C24×D7111yescharacteristic
1661Q8—82no—
1662D4—44no—
1663D4—44no—
1664D4—82no—
1665D4—2844no—
1666D4—2844no—
1667D4—2844no—
1668D4—2844no—
1669D4—2844no—
1670D4—5682no—
1671D4—5682no—
1672D4—5682no—
1673D4—5682no—
1674D4—5682no—
1675D4—5682no—
1676D4—5682no—
1677D4—1428no—
1678D4—1428no—
1679D4—1428no—
1680D4—1428no—
1681C2×C4—28no—
1682C2×C4—28no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—44no—
1715C2×C4—2844no—
1716C2×C4—2844no—
1717C2×C4—2844no—
1718C2×C4—2844no—
1719C2×C4—2844no—
1720C2×C4—2844no—
1721C2×C4—2844no—
1722C2×C4—2844no—
1723C2×C4—2844no—
1724C2×C4—2844no—
1725C2×C4—2844no—
1726C2×C4—5682no—
1727C2×C4—5682no—
1728C2×C4—5682no—
1729C2×C4—712no—
1730C2×C4—712no—
1731C2×C4—1421no—
1732C2×C4—1421no—
1733C2×C4—1421no—
1734C2×C4—1421no—
1735C2×C4—1421no—
1736C2×C4—1421no—
1737C2×C4—1421no—
1738C2×C4—1421no—
1739C2×C4—1421no—
1740C2×C4—1421no—
1741C2×C4—1421no—
1742C2×C4—1421no—
1743C2×C4—1421no—
1744C2×C4—1421no—
1745C2×C4—1421no—
1746C2×C4—1421no—
1747C2×C4—1421no—
1748C2×C4—1421no—
1749C2×C4—1421no—
1750C2×C4—1421no—
1751C2×C4—1421no—
1752C2×C4—1421no—
1753C2×C4—1421no—
1754C2×C4—1421no—
1755C2×C4—1421no—
1756C2×C4—1421no—
1757C2×C4—1421no—
1758C2×C4—1421no—
1759C2×C4—1421no—
1760C2×C4—1421no—
1761C2×C4—1421no—
1762C2×C4C2×D4×D7112yes—
1763C2×C4C2×D4×D7112yes—
1764C2×C4C2×D4×D7112yes—
1765C2×C4#41×D7112yes—
1766C2×C4#1455617412yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—28416no—
1788C22—28416no—
1789C22—2841no—
1790C22—2841no—
1791C22—2841no—
1792C22—2841no—
1793C22—2841no—
1794C22—2841no—
1795C22—2841no—
1796C22—2841no—
1797C22—2841no—
1798C22—2841no—
1799C22—2841no—
1800C22—2841no—
1801C22—2841no—
1802C22—2841no—
1803C22—2841no—
1804C22—2841no—
1805C22—2841no—
1806C22—2841no—
1807C22—2841no—
1808C22—5688no—
1809C22—714no—
1810C22—1422no—
1811C22—1422no—
1812C22—1422no—
1813C22—1422no—
1814C22—1422no—
1815C22—1422no—
1816C22—1422no—
1817C22—1422no—
1818C22—1422no—
1819C22—1422no—
1820C22—1422no—
1821C22—1422no—
1822C22—1422no—
1823C22—1422no—
1824C22—1422no—
1825C22#1798658314yescomplemented
1826C22C22×D4×D7111yescharacteristic
1827C22C2×#41×D7111yescharacteristic
1828C22C2×#41×D7111yescharacteristic
1829C22C2×#1455617311yescharacteristic
1830C22C2×#1455617411yescharacteristic
1831C22C2×#1455617411yescharacteristic
1832C22#1798683511yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—2841no—
1846C4—2841no—
1847C4—2841no—
1848C4—2841no—
1849C4—2841no—
1850C4—2841no—
1851C4—2841no—
1852C4—2841no—
1853C4—2841no—
1854C4—1422no—
1855C4—1422no—
1856C2—24no—
1857C2—81no—
1858C2—81no—
1859C2—2842no—
1860C2—2842no—
1861C2—2842no—
1862C2—5681no—
1863C2—1424no—
1864C2#525×D7111yescharacteristic
1865C2C2×#1798658311yescharacteristic
1866C2#2260175011yescharacteristic
1867C2#2260197311yescharacteristic
1868C2#2260200511yescharacteristic
1869C2#2260228411yescharacteristic
1870C2#2260236711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D71
commutator, socle, cosocleC23×C71C25
FittingC71×#2850C2
hypercenter#2850D71
hypocenterC71#34990
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2850

Complements

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

NH ≅ G/Ntype
1. C2×#17986583C2semidirect
2. C22×C4×D284C2semidirect
3. #22596655C2semidirect
4. #22596631C2semidirect
5. #22596621C2semidirect
6. #22594239C2semidirect
7. #22594231C2semidirect
8. #22594193C2semidirect
9. #22594187C2semidirect
10. #22592600C2semidirect
11. #22592473C2semidirect
12. #22592390C2semidirect
13. #22592284C2semidirect
14. #22592238C2semidirect
15. #22592229C2semidirect
16. #22592161C2semidirect
17. #22592097C2semidirect
18. #22592073C2semidirect
19. #22592003C2semidirect
20. #22591883C2semidirect
21. #22591882C2semidirect
22. #22591807C2semidirect
23. #22591717C2semidirect
24. #22591711C2semidirect
25. #22591652C2semidirect
26. #22591044C2semidirect
27. #22591002C2semidirect
28. #22590976C2semidirect
29. #22590845C2semidirect
30. #386×D71C2semidirect
31. C71×#2850C2semidirect
35. C23×C4×D71C22semidirect
37. C2×#14556122C22semidirect
38. C2×#14556121C22semidirect
39. C2×#14556117C22semidirect
40. C2×#14556112C22semidirect
41. C2×#14556110C22semidirect
42. C2×#14556110C22semidirect
43. C2×#14556104C22semidirect
46. C2×#14556101C22semidirect
47. C2×#14556101C22semidirect
49. C2×#14556100C22semidirect
55. C2×#14556096C22semidirect
56. C2×#14556096C22semidirect
62. C2×C4×D284C22semidirect
63. C2×C4×D284C22semidirect
64. C2×C4×D284C22semidirect
65. C2×C4×D284C22semidirect
66. C2×D4×Dic71C22semidirect
67. C2×(C22⋊D71)⋊C4C22semidirect
68. C2×(C22⋊D71)⋊C4C22semidirect
69. C22×C4⋊Dic71C22semidirect
71. C22×(C2×D71)⋊C4C22semidirect
73. C2×C22⋊C4×D71C22semidirect
74. C2×C22⋊C4×D71C22semidirect
75. #17985941C22semidirect
76. #17985939C22semidirect
77. #17985936C22semidirect
78. #17985934C22semidirect
79. #17985931C22semidirect
80. #17985925C22semidirect
81. #17985924C22semidirect
82. #17985924C22semidirect
83. #17985922C22semidirect
84. #17985921C22semidirect
85. #17985921C22semidirect
86. #17985921C22semidirect
87. #17985917C22semidirect
88. #17985917C22semidirect
89. #17985916C22semidirect
90. #17985916C22semidirect
91. #17985916C22semidirect
92. #17985915C22semidirect
93. #17985915C22semidirect
94. #17985914C22semidirect
95. #17985914C22semidirect
96. #17985910C22semidirect
97. #17985910C22semidirect
102. #17985908C22semidirect
103. #17985908C22semidirect
104. #17985908C22semidirect
105. #17985907C22semidirect
106. #17985907C22semidirect
107. #17985900C22semidirect
108. #17985899C22semidirect
109. #17985892C22semidirect
110. #17985891C22semidirect
111. #17985890C22semidirect
112. #17985890C22semidirect
113. #17985890C22semidirect
114. #17985889C22semidirect
115. #17985889C22semidirect
116. #17985889C22semidirect
117. #17985886C22semidirect
118. #17985884C22semidirect
119. #17985884C22semidirect
120. #17985883C22semidirect
121. #17985883C22semidirect
122. #17985883C22semidirect
132. #17985877C22semidirect
133. #17985877C22semidirect
134. #17985877C22semidirect
135. #17985877C22semidirect
137. #17985876C22semidirect
138. #17985875C22semidirect
139. #17985875C22semidirect
140. #17985875C22semidirect
141. #17985875C22semidirect
142. #17985875C22semidirect
143. #17985875C22semidirect
144. #17985875C22semidirect
145. #17985875C22semidirect
146. #17985875C22semidirect
147. #17985874C22semidirect
148. #17985874C22semidirect
149. #17985873C22semidirect
150. #17985873C22semidirect
151. #17985873C22semidirect
152. #17985873C22semidirect
153. #17985872C22semidirect
154. #17985872C22semidirect
155. #17985872C22semidirect
156. #17985870C22semidirect
157. #17985870C22semidirect
158. #17985870C22semidirect
159. #17985867C22semidirect
160. #17985861C22semidirect
161. #17985861C22semidirect
162. #17985858C22semidirect
163. #17985858C22semidirect
164. #17985857C22semidirect
165. #17985856C22semidirect
167. #17985854C22semidirect
168. #17985854C22semidirect
169. C22⋊C4×Dic71C22semidirect
170. #17985846C22semidirect
171. #17985846C22semidirect
172. #95×D71C22semidirect
173. #95×D71C22semidirect
174. C2×#124×C71C22semidirect
175. C2×C22⋊Q8×C71C22semidirect
177. C22×C42×C71C22semidirect
178. #391×C71C22semidirect
179. #390×C71C22semidirect
180. #388×C71C22semidirect
181. #388×C71C22semidirect
182. #388×C71C22semidirect
183. #388×C71C22semidirect
186. #386×C71C22semidirect
187. #386×C71C22semidirect
188. #382×C71C22semidirect
261. C4×D284D4semidirect
527. C2×C4×D71C2×D4semidirect
534. C4⋊Dic71C2×D4semidirect
587. (C2×D71)⋊C4C2×D4semidirect
646. C42×C71C2×D4semidirect
851. C22×C71#538semidirect
939. #2850D71semidirect
967. C71#34990semidirect
976. C2×#124C2×D71semidirect
981. C2×C22⋊Q8C2×D71semidirect
1014. C22×C42C2×D71semidirect
1047. #391C2×D71semidirect
1050. #390C2×D71semidirect
1059. #388C2×D71semidirect
1060. #388C2×D71semidirect
1061. #388C2×D71semidirect
1062. #388C2×D71semidirect
1095. #386C2×D71semidirect
1096. #386C2×D71semidirect
1110. #382C2×D71semidirect
1582. C42D4×D71semidirect
1825. C22#17986583semidirect

Maximal subgroups

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

subgroupindex
C2×#179865832
C22×C4×D2842
#225966552
#225966312
#225966212
#225942392
#225942312
#225941932
#225941872
#225926002
#225924732
#225923902
#225922842
#225922382
#225922292
#225921612
#225920972
#225920732
#225920032
#225918832
#225918822
#225918072
#225917172
#225917112
#225916522
#225910442
#225910022
#225909762
#225908452
#386×D712
C71×#28502
#3499071