Finite Group Databasebeta

← #32204273

Subgroups — #32204273

Order 18176.

2630 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986583C211yesmaximal, characteristic, complemented
2C2×#123×D71C211yesmaximal, characteristic, complemented
3#22596624C211yesmaximal, characteristic, complemented
4#22596621C211yesmaximal, characteristic, complemented
5#22594878C211yesmaximal, characteristic, complemented
6#22594876C211yesmaximal, characteristic, complemented
7#22594874C211yesmaximal, characteristic, complemented
8#22594872C211yesmaximal, characteristic, complemented
9#22594852C211yesmaximal, characteristic, complemented
10#22594851C211yesmaximal, characteristic, complemented
11#22594847C211yesmaximal, characteristic, complemented
12#22594845C211yesmaximal, characteristic, complemented
13#22594590C211yesmaximal, characteristic, complemented
14#22594587C211yesmaximal, characteristic, complemented
15#22594586C211yesmaximal, characteristic, complemented
16#22594582C211yesmaximal, characteristic, complemented
17#22594581C211yesmaximal, characteristic, complemented
18#22594570C211yesmaximal, characteristic, complemented
19#22594569C211yesmaximal, characteristic, complemented
20#22594152C211yesmaximal, characteristic, complemented
21#22594087C211yesmaximal, characteristic, complemented
22#22593234C211yesmaximal, characteristic, complemented
23#22593225C211yesmaximal, characteristic, complemented
24#22592655C211yesmaximal, characteristic, complemented
25#22592650C211yesmaximal, characteristic, complemented
26#22591733C211yesmaximal, characteristic, complemented
27#22591731C211yesmaximal, characteristic, complemented
28#22591711C211yesmaximal, characteristic, complemented
29#22591709C211yesmaximal, characteristic, complemented
30#22590951C211yesmaximal, characteristic, complemented
31C71×#2672C211yesmaximal, characteristic, complemented
32C22×D4×D71C2211yescharacteristic
33C23×C4×D71C2211yescharacteristic
34#17986583—28no—
35C2×#14556122C2211yescharacteristic, complemented
36C2×#14556121C2211yescharacteristic, complemented
37C2×#14556117C2211yescharacteristic, complemented
38C2×#14556113C2211yescharacteristic
39C2×#14556113C2211yescharacteristic
40C2×#14556113C2211yescharacteristic
41C2×#14556112C2211yescharacteristic
42C2×#14556112C2211yescharacteristic, complemented
43C2×#14556111C2211yescharacteristic
44C2×#14556110C2211yescharacteristic
45C2×#14556110C2211yescharacteristic
46C2×#14556110C2211yescharacteristic
47C2×#14556110C2211yescharacteristic, complemented
48C2×#14556109C2211yescharacteristic
49#123×D71—28no—
50C2×#14556104C2211yescharacteristic
51C2×#14556104C2211yescharacteristic, complemented
52C2×#14556103C2211yescharacteristic
53C2×#14556101C2211yescharacteristic
54C2×#14556101C2211yescharacteristic
55C2×#14556101C2211yescharacteristic, complemented
56C2×#14556101C2211yescharacteristic, complemented
57C2×#14556100C2211yescharacteristic
58C2×#14556100C2211yescharacteristic, complemented
59C2×#14556100C2211yescharacteristic, complemented
60C2×#14556098C2211yescharacteristic
61C2×#14556098C2211yescharacteristic
62C2×#14556096C2211yescharacteristic
63C2×#14556096C2211yescharacteristic
64C2×C4×D284C2211yescharacteristic
65C2×(C22⋊D71)⋊C4C2211yescharacteristic
66C2×C4⋊C4×D71C2211yescharacteristic
67C2×C4⋊C4×D71C2211yescharacteristic
68C22×(C2×D71)⋊C4C2211yescharacteristic
69C2×C22⋊C4×D71C2211yescharacteristic
70C2×C22⋊C4×D71C2211yescharacteristic
71C2×C22⋊C4×D71C2211yescharacteristic
72C2×C22⋊C4×D71C2211yescharacteristic
73#17985941C2211yescharacteristic, complemented
74#17985941C2211yescharacteristic, complemented
75#17985939C2211yescharacteristic, complemented
76#17985939C2211yescharacteristic, complemented
77#17985938C2211yescharacteristic, complemented
78#17985937C2211yescharacteristic, complemented
79#17985935C2211yescharacteristic, complemented
80#17985934C2211yescharacteristic, complemented
81#17985934C2211yescharacteristic, complemented
82#17985933C2211yescharacteristic, complemented
83#17985933C2211yescharacteristic, complemented
84#17985933C2211yescharacteristic, complemented
85#17985932C2211yescharacteristic, complemented
86#17985930C2211yescharacteristic, complemented
87#17985930C2211yescharacteristic, complemented
88#17985928C2211yescharacteristic, complemented
89#17985927C2211yescharacteristic, complemented
90#17985925C2211yescharacteristic, complemented
91#17985924C2211yescharacteristic, complemented
92#17985922C2211yescharacteristic, complemented
93#17985922C2211yescharacteristic, complemented
94#17985922C2211yescharacteristic, complemented
95#17985921C2211yescharacteristic, complemented
96#17985921C2211yescharacteristic, complemented
97#17985921C2211yescharacteristic, complemented
98#17985921C2211yescharacteristic, complemented
99#17985918C2211yescharacteristic, complemented
100#17985917C2211yescharacteristic, complemented
101#17985917C2211yescharacteristic, complemented
102#17985916C2211yescharacteristic
103#17985916C2211yescharacteristic, complemented
104#17985915C2211yescharacteristic, complemented
105#17985915C2211yescharacteristic, complemented
106#17985914C2211yescharacteristic
107#17985914C2211yescharacteristic
108#17985914C2211yescharacteristic, complemented
109#17985914C2211yescharacteristic, complemented
110#17985913C2211yescharacteristic, complemented
111#17985908C2211yescharacteristic
112#17985908C2211yescharacteristic
113#17985907C2211yescharacteristic
114#17985907C2211yescharacteristic
115#17985897C2211yescharacteristic, complemented
116#17985894C2211yescharacteristic, complemented
117#17985894C2211yescharacteristic, complemented
118#17985892C2211yescharacteristic, complemented
119#17985890C2211yescharacteristic, complemented
120#17985888C2211yescharacteristic, complemented
121#17985879C2211yescharacteristic
122#17985879C2211yescharacteristic, complemented
123#17985878C2211yescharacteristic
124#17985878C2211yescharacteristic, complemented
125#17985878C2211yescharacteristic, complemented
126#17985877C2211yescharacteristic
127#17985877C2211yescharacteristic
128#17985877C2211yescharacteristic
129#17985877C2211yescharacteristic, complemented
130#17985877C2211yescharacteristic, complemented
131#17985876C2211yescharacteristic, complemented
132#17985876C2211yescharacteristic, complemented
133#17985875C2211yescharacteristic
134#17985875C2211yescharacteristic
135#17985875C2211yescharacteristic
136#17985875C2211yescharacteristic, complemented
137#17985875C2211yescharacteristic, complemented
138#17985875C2211yescharacteristic, complemented
139#17985875C2211yescharacteristic, complemented
140#17985874C2211yescharacteristic, complemented
141#17985873C2211yescharacteristic, complemented
142#17985873C2211yescharacteristic, complemented
143#17985872C2211yescharacteristic, complemented
144#17985871C2211yescharacteristic, complemented
145#17985871C2211yescharacteristic, complemented
146#17985871C2211yescharacteristic, complemented
147#17985870C2211yescharacteristic
148#17985870C2211yescharacteristic
149#17985870C2211yescharacteristic
150#17985870C2211yescharacteristic
151#17985870C2211yescharacteristic, complemented
152#17985870C2211yescharacteristic, complemented
153#17985870C2211yescharacteristic, complemented
154#17985870C2211yescharacteristic, complemented
155#17985861C2211yescharacteristic
156#17985861C2211yescharacteristic
157#17985859C2211yescharacteristic, complemented
158#17985858C2211yescharacteristic
159#17985858C2211yescharacteristic
160#17985858C2211yescharacteristic, complemented
161#17985858C2211yescharacteristic, complemented
162#17985857C2211yescharacteristic, complemented
163#17985857C2211yescharacteristic, complemented
164#17985857C2211yescharacteristic, complemented
165#17985857C2211yescharacteristic, complemented
166#17985856C2211yescharacteristic
167#17985856C2211yescharacteristic
168#17985856C2211yescharacteristic, complemented
169#17985856C2211yescharacteristic, complemented
170#17985856C2211yescharacteristic, complemented
171#17985856C2211yescharacteristic, complemented
172#17985854C2211yescharacteristic
173#17985854C2211yescharacteristic
174C2×#124×C71C2211yescharacteristic, complemented
175C2×#123×C71C2211yescharacteristic
176C2×C22⋊Q8×C71C2211yescharacteristic, complemented
177C2×#121×C71C2211yescharacteristic
178#399×C71C2211yescharacteristic, complemented
179#396×C71C2211yescharacteristic, complemented
180#395×C71C2211yescharacteristic, complemented
181#394×C71C2211yescharacteristic
182#394×C71C2211yescharacteristic, complemented
183#394×C71C2211yescharacteristic, complemented
184#389×C71C2211yescharacteristic, complemented
185#388×C71C2211yescharacteristic, complemented
186#386×C71C2211yescharacteristic, complemented
187#385×C71C2211yescharacteristic, complemented
188#380×C71C2211yescharacteristic, complemented
189C24×D71C2311yescharacteristic
190C24×D71C2311yescharacteristic
191C22×D284C2311yescharacteristic
192C22×D284C2311yescharacteristic
193C22×D284C2311yescharacteristic
194C22×D284C2311yescharacteristic
195C22×C22⋊D71C2311yescharacteristic
196C22×C22⋊D71C2311yescharacteristic
197C22×C22⋊D71C2311yescharacteristic
198C22×C22⋊D71C2311yescharacteristic
199C22×C22⋊D71C2311yescharacteristic
200C22×C22⋊D71C2311yescharacteristic
201C22×C22⋊D71C2311yescharacteristic
202C22×C22⋊D71C2311yescharacteristic
203C2×D4×D71—24no—
204C2×D4×D71—42no—
205C2×D4×D71—42no—
206C23×Dic71C2311yescharacteristic
207C23×Dic71C2311yescharacteristic
208C23×Dic71C2311yescharacteristic
209C22×C4×D71—24no—
210C22×C4×D71—42no—
211C22×C4×D71—42no—
212C22×C4×D71C2311yescharacteristic
213C22×C4×D71C2311yescharacteristic
214C22×C4×D71C2311yescharacteristic
215C22×C4×D71C2311yescharacteristic
216C22×C4×D71C2311yescharacteristic
217C22×C4×D71C2311yescharacteristic
218C22×C4×D71C2311yescharacteristic
219C22×C4×D71C2311yescharacteristic
220C22×C4×D71C2311yescharacteristic
221C22×C4×D71C2311yescharacteristic
222#14556122—24no—
223#14556121—24no—
224#14556117—24no—
225#14556113—24no—
226#14556113—24no—
227#14556113—42no—
228#14556112—24no—
229#14556112—24no—
230#14556111—24no—
231#14556110—24no—
232#14556110—24no—
233#14556110—24no—
234#14556110—42no—
235#14556109—24no—
236#14556104—24no—
237#14556104—42no—
238#14556103—42no—
239#14556101—24no—
240#14556101—24no—
241#14556101—42no—
242#14556101—42no—
243#14556100—24no—
244#14556100—42no—
245#14556100—42no—
246#14556098—24no—
247#14556098—42no—
248#14556096—24no—
249#14556096—42no—
250C4×D284—24no—
251(C22⋊D71)⋊C4—24no—
252C2×C4⋊Dic71C2311yescharacteristic
253C2×C4⋊Dic71C2311yescharacteristic
254C2×C4⋊Dic71C2311yescharacteristic
255C2×C4⋊Dic71C2311yescharacteristic
256C2×C4⋊Dic71C2311yescharacteristic
257C2×C4⋊Dic71C2311yescharacteristic
258C2×C4⋊Dic71C2311yescharacteristic
259C2×Dic71⋊C4C2311yescharacteristic
260C2×Dic71⋊C4C2311yescharacteristic
261C2×Dic71⋊C4C2311yescharacteristic
262C2×Dic71⋊C4C2311yescharacteristic
263C2×Dic71⋊C4C2311yescharacteristic
264C2×Dic71⋊C4C2311yescharacteristic
265C2×Dic71⋊C4C2311yescharacteristic
266C2×Dic71⋊C4C2311yescharacteristic
267C2×Dic71⋊C4C2311yescharacteristic
268C2×Dic71⋊C4C2311yescharacteristic
269C2×Dic71⋊C4C2311yescharacteristic
270C2×Dic71⋊C4C2311yescharacteristic
271C2×Dic71⋊C4C2311yescharacteristic
272C2×Dic71⋊C4C2311yescharacteristic
273C2×Dic71⋊C4C2311yescharacteristic
274C2×Dic71⋊C4C2311yescharacteristic
275C2×Dic71⋊C4C2311yescharacteristic
276C2×Dic71⋊C4C2311yescharacteristic
277C4⋊C4×D71—24no—
278C4⋊C4×D71—24no—
279C2×C22⋊Dic71C2311yescharacteristic
280C2×C22⋊Dic71C2311yescharacteristic
281C2×C22⋊Dic71C2311yescharacteristic
282C2×C22⋊Dic71C2311yescharacteristic
283C2×C22⋊Dic71C2311yescharacteristic
284C2×C22⋊Dic71C2311yescharacteristic
285C2×C22⋊Dic71C2311yescharacteristic
286C2×C22⋊Dic71C2311yescharacteristic
287C2×C22⋊Dic71C2311yescharacteristic
288C2×C22⋊Dic71C2311yescharacteristic
289C2×C22⋊Dic71C2311yescharacteristic
290C2×(C2×D71)⋊C4—42no—
291C2×(C2×D71)⋊C4C2311yescharacteristic
292C2×(C2×D71)⋊C4C2311yescharacteristic
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
321C22⋊C4×D71—24no—
322C22⋊C4×D71—24no—
323C22⋊C4×D71—42no—
324C22⋊C4×D71D418yescomplemented
325C2×C4×Dic71C2311yescharacteristic
326C71⋊#95C2311yescharacteristic
327C71⋊#95C2311yescharacteristic
328C71⋊#95C2311yescharacteristic
329C71⋊#95C2311yescharacteristic
330C71⋊#95C2311yescharacteristic
331C71⋊#95C2311yescharacteristic
332C71⋊#95C2311yescharacteristic
333C71⋊#95C2311yescharacteristic
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
352C22×Q8×C71C2311yescharacteristic
353C22×D4×C71C2311yescharacteristic
354C22×D4×C71C2311yescharacteristic
355C22×D4×C71C2311yescharacteristic
356C23×C4×C71C2311yescharacteristic
357C23×C4×C71C2311yescharacteristic
358#124×C71—24no—
359#123×C71—24no—
360C22⋊Q8×C71—42no—
361#121×C71—42no—
362C2×C4⋊C4×C71C2311yescharacteristic
363C2×C4⋊C4×C71C2311yescharacteristic
364C2×C4⋊C4×C71C2311yescharacteristic
365C2×C4⋊C4×C71C2311yescharacteristic
366C2×C4⋊C4×C71C2311yescharacteristic
367C2×C4⋊C4×C71C2311yescharacteristic
368C2×C4⋊C4×C71C2311yescharacteristic
369C2×C4⋊C4×C71C2311yescharacteristic
370C2×C4⋊C4×C71C2311yescharacteristic
371C2×C22⋊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×C71C2311yescharacteristic
385#95×C71C2311yescharacteristic
386#95×C71C2311yescharacteristic
387#95×C71C2311yescharacteristic
388#95×C71C2311yescharacteristic
389#95×C71C2311yescharacteristic
390#95×C71C2311yescharacteristic
391C23×D71—22no—
392C23×D71—22no—
393C23×D71—22no—
394C23×D71—22no—
395C23×D71—22no—
396C23×D71—22no—
397C23×D71—22no—
398C23×D71—41no—
399C23×D71—41no—
400C23×D71—41no—
401C23×D71—41no—
402C23×D71—41no—
403C23×D71—41no—
404C23×D71C2×D414yes—
405C23×D71C2411yescharacteristic
406C23×D71C2411yescharacteristic
407C23×D71C2411yescharacteristic
408C23×D71C2411yescharacteristic
409C2×D284—22no—
410C2×D284—22no—
411C2×D284—22no—
412C2×D284—22no—
413C2×D284—22no—
414C2×D284—22no—
415C2×D284—22no—
416C2×D284—41no—
417C2×D284—41no—
418C2×D284—41no—
419C2×D284—41no—
420C2×D284—41no—
421C2×C22⋊D71—22no—
422C2×C22⋊D71—22no—
423C2×C22⋊D71—22no—
424C2×C22⋊D71—22no—
425C2×C22⋊D71—22no—
426C2×C22⋊D71—22no—
427C2×C22⋊D71—22no—
428C2×C22⋊D71—22no—
429C2×C22⋊D71—22no—
430C2×C22⋊D71—22no—
431C2×C22⋊D71—22no—
432C2×C22⋊D71—22no—
433C2×C22⋊D71—41no—
434C2×C22⋊D71—41no—
435C2×C22⋊D71—41no—
436C2×C22⋊D71—41no—
437C2×C22⋊D71—41no—
438C2×C22⋊D71—41no—
439C2×C22⋊D71—41no—
440C2×C22⋊D71—41no—
441C2×C22⋊D71—41no—
442C2×C22⋊D71—41no—
443C2×C22⋊D71—41no—
444C2×C22⋊D71—41no—
445D4×D71—416no—
446C22×Dic71—22no—
447C22×Dic71—22no—
448C22×Dic71—22no—
449C22×Dic71—41no—
450C22×Dic71—41no—
451C22×Dic71—41no—
452C22×Dic71—41no—
453C22×Dic71—41no—
454C22×Dic71—41no—
455C22×Dic71C2411yescharacteristic
456C22×Dic71C2411yescharacteristic
457C22×Dic71C2411yescharacteristic
458C22×Dic71C2411yescharacteristic
459C22×Dic71C2411yescharacteristic
460C22×Dic71C2411yescharacteristic
461C22×Dic71C2411yescharacteristic
462C22×Dic71C2411yescharacteristic
463C22×Dic71C2411yescharacteristic
464C22×Dic71C2411yescharacteristic
465C22×Dic71C2411yescharacteristic
466C22×Dic71C2411yescharacteristic
467C2×C4×D71—22no—
468C2×C4×D71—22no—
469C2×C4×D71—22no—
470C2×C4×D71—22no—
471C2×C4×D71—22no—
472C2×C4×D71—22no—
473C2×C4×D71—22no—
474C2×C4×D71—22no—
475C2×C4×D71—22no—
476C2×C4×D71—22no—
477C2×C4×D71—41no—
478C2×C4×D71—41no—
479C2×C4×D71—41no—
480C2×C4×D71—41no—
481C2×C4×D71—41no—
482C2×C4×D71—41no—
483C2×C4×D71—41no—
484C2×C4×D71—41no—
485C2×C4×D71—41no—
486C2×C4×D71—41no—
487C2×C4×D71—416no—
488C2×C4×D71—41no—
489C2×C4×D71—41no—
490C2×C4×D71—41no—
491C2×C4×D71—41no—
492C2×C4×D71—41no—
493C2×C4×D71—41no—
494C2×C4×D71—41no—
495C2×C4×D71—41no—
496C2×C4×D71C2×D414yes—
497C2×C4×D71C2×D414yes—
498C4⋊Dic71—22no—
499C4⋊Dic71—22no—
500C4⋊Dic71—22no—
501C4⋊Dic71—22no—
502C4⋊Dic71—41no—
503C4⋊Dic71—41no—
504C4⋊Dic71—41no—
505Dic71⋊C4—22no—
506Dic71⋊C4—22no—
507Dic71⋊C4—22no—
508Dic71⋊C4—22no—
509Dic71⋊C4—22no—
510Dic71⋊C4—22no—
511Dic71⋊C4—22no—
512Dic71⋊C4—22no—
513Dic71⋊C4—41no—
514Dic71⋊C4—41no—
515Dic71⋊C4—41no—
516Dic71⋊C4—41no—
517Dic71⋊C4—41no—
518Dic71⋊C4—41no—
519Dic71⋊C4—41no—
520Dic71⋊C4—41no—
521Dic71⋊C4—41no—
522Dic71⋊C4—41no—
523C22⋊Dic71—22no—
524C22⋊Dic71—22no—
525C22⋊Dic71—22no—
526C22⋊Dic71—41no—
527C22⋊Dic71—41no—
528C22⋊Dic71—41no—
529C22⋊Dic71—41no—
530C22⋊Dic71—41no—
531C22⋊Dic71—41no—
532C22⋊Dic71—41no—
533C22⋊Dic71C2×D414yes—
534(C2×D71)⋊C4—22no—
535(C2×D71)⋊C4—22no—
536(C2×D71)⋊C4—22no—
537(C2×D71)⋊C4—22no—
538(C2×D71)⋊C4—22no—
539(C2×D71)⋊C4—22no—
540(C2×D71)⋊C4—22no—
541(C2×D71)⋊C4—22no—
542(C2×D71)⋊C4—22no—
543(C2×D71)⋊C4—22no—
544(C2×D71)⋊C4—22no—
545(C2×D71)⋊C4—22no—
546(C2×D71)⋊C4—22no—
547(C2×D71)⋊C4—22no—
548(C2×D71)⋊C4—22no—
549(C2×D71)⋊C4—22no—
550(C2×D71)⋊C4—41no—
551(C2×D71)⋊C4—41no—
552(C2×D71)⋊C4—41no—
553(C2×D71)⋊C4—41no—
554(C2×D71)⋊C4—41no—
555(C2×D71)⋊C4—41no—
556(C2×D71)⋊C4—41no—
557(C2×D71)⋊C4—41no—
558(C2×D71)⋊C4—41no—
559(C2×D71)⋊C4—41no—
560(C2×D71)⋊C4—41no—
561(C2×D71)⋊C4—41no—
562(C2×D71)⋊C4C2×D414yes—
563(C2×D71)⋊C4C2×D414yes—
564C4×Dic71—22no—
565C24×C71C2411yescharacteristic
566C24×C71C2411yescharacteristic
567C24×C71C2411yescharacteristic
568C2×Q8×C71—22no—
569C2×Q8×C71—41no—
570C2×Q8×C71—41no—
571C2×D4×C71—22no—
572C2×D4×C71—22no—
573C2×D4×C71—22no—
574C2×D4×C71—22no—
575C2×D4×C71—41no—
576C2×D4×C71—41no—
577C2×D4×C71—41no—
578C2×D4×C71—41no—
579C2×D4×C71—41no—
580C22×C4×C71—22no—
581C22×C4×C71—22no—
582C22×C4×C71—41no—
583C22×C4×C71—41no—
584C22×C4×C71—41no—
585C22×C4×C71—41no—
586C22×C4×C71C2411yescharacteristic
587C22×C4×C71C2411yescharacteristic
588C22×C4×C71C2411yescharacteristic
589C22×C4×C71C2411yescharacteristic
590C22×C4×C71C2411yescharacteristic
591C22×C4×C71C2411yescharacteristic
592C22×C4×C71C2411yescharacteristic
593C22×C4×C71C2411yescharacteristic
594C22×C4×C71C2411yescharacteristic
595C22×C4×C71C2411yescharacteristic
596C22×C4×C71C2411yescharacteristic
597C22×C4×C71C2411yescharacteristic
598C4⋊C4×C71—22no—
599C4⋊C4×C71—22no—
600C4⋊C4×C71—41no—
601C4⋊C4×C71—41no—
602C4⋊C4×C71—41no—
603C4⋊C4×C71—41no—
604C4⋊C4×C71—41no—
605C4⋊C4×C71—41no—
606C4⋊C4×C71—41no—
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×C71—41no—
616C22⋊C4×C71—41no—
617C22⋊C4×C71—41no—
618C22⋊C4×C71—41no—
619C22⋊C4×C71C2×D414yes—
620C42×C71—22no—
621C23×C71—21no—
622C23×C71—21no—
623C23×C71—21no—
624C23×C71—21no—
625C23×C71—21no—
626C23×C71—21no—
627C23×C71—21no—
628C23×C71—21no—
629C23×C71—21no—
630C23×C71—21no—
631C23×C71—21no—
632C23×C71—21no—
633C23×C71—21no—
634C23×C71—21no—
635C23×C71—21no—
636C23×C71—21no—
637C23×C71—21no—
638C23×C71—21no—
639C23×C71—21no—
640C23×C71C22×D412yes—
641C23×C71H(5,𝔽2)12yes—
642C23×C71C2511yescharacteristic
643C22×D71—21no—
644C22×D71—21no—
645C22×D71—21no—
646C22×D71—21no—
647C22×D71—28no—
648C22×D71—21no—
649C22×D71—21no—
650C22×D71—21no—
651C22×D71—21no—
652C22×D71—21no—
653C22×D71—21no—
654C22×D71—21no—
655C22×D71—21no—
656C22×D71—21no—
657C22×D71—21no—
658C22×D71—21no—
659C22×D71—21no—
660C22×D71—28no—
661C22×D71—21no—
662C22×D71—21no—
663C22×D71—21no—
664C22×D71—21no—
665C22×D71—21no—
666C22×D71—21no—
667C22×D71—21no—
668C22×D71—44no—
669C22×D71—44no—
670C22×D71—44no—
671C22×D71—44no—
672C22×D71—44no—
673C22×D71—44no—
674C22×D71—44no—
675C22×D71—44no—
676C22×D71—82no—
677C22×D71—82no—
678C22×D71—82no—
679C22×D71—82no—
680C22×D71C22×D412yes—
681C22×D71C22×D412yes—
682C22×D71H(5,𝔽2)12yes—
683C22×D71H(5,𝔽2)12yes—
684C22×D712−1+412yes—
685Q8×C71—82no—
686D4×C71—44no—
687D4×C71—82no—
688D4×C71—82no—
689C2×C4×C71—21no—
690C2×C4×C71—21no—
691C2×C4×C71—21no—
692C2×C4×C71—21no—
693C2×C4×C71—21no—
694C2×C4×C71—21no—
695C2×C4×C71—21no—
696C2×C4×C71—21no—
697C2×C4×C71—21no—
698C2×C4×C71—21no—
699C2×C4×C71—21no—
700C2×C4×C71—21no—
701C2×C4×C71—21no—
702C2×C4×C71—21no—
703C2×C4×C71—21no—
704C2×C4×C71—21no—
705C2×C4×C71—21no—
706C2×C4×C71—21no—
707C2×C4×C71—21no—
708C2×C4×C71—21no—
709C2×C4×C71—21no—
710C2×C4×C71—21no—
711C2×C4×C71—21no—
712C2×C4×C71—21no—
713C2×C4×C71—21no—
714C2×C4×C71—21no—
715C2×C4×C71—21no—
716C2×C4×C71—21no—
717C2×C4×C71—21no—
718C2×C4×C71—21no—
719C2×C4×C71—21no—
720C2×C4×C71—21no—
721C2×C4×C71—21no—
722C2×C4×C71—21no—
723C2×C4×C71—44no—
724C2×C4×C71—82no—
725C2×C4×C71C22×D412yes—
726C2×C4×C71C22×D412yes—
727C22⋊D71—44no—
728C22⋊D71—44no—
729C22⋊D71—44no—
730C22⋊D71—82no—
731C22⋊D71—82no—
732C22⋊D71—82no—
733C22⋊D71—82no—
734C22⋊D71—82no—
735C2×Dic71—21no—
736C2×Dic71—21no—
737C2×Dic71—21no—
738C2×Dic71—21no—
739C2×Dic71—21no—
740C2×Dic71—21no—
741C2×Dic71—21no—
742C2×Dic71—21no—
743C2×Dic71—21no—
744C2×Dic71—21no—
745C2×Dic71—21no—
746C2×Dic71—21no—
747C2×Dic71—21no—
748C2×Dic71—21no—
749C2×Dic71—21no—
750C2×Dic71—21no—
751C2×Dic71—21no—
752C2×Dic71—21no—
753C2×Dic71—21no—
754C2×Dic71—21no—
755C2×Dic71—21no—
756C2×Dic71—21no—
757C2×Dic71—21no—
758C2×Dic71—21no—
759C2×Dic71—21no—
760C2×Dic71—21no—
761C2×Dic71—21no—
762C2×Dic71—21no—
763C2×Dic71—21no—
764C2×Dic71—21no—
765C2×Dic71—21no—
766C2×Dic71—21no—
767C2×Dic71—21no—
768C2×Dic71—21no—
769C2×Dic71—44no—
770C2×Dic71—82no—
771C2×Dic71—82no—
772C2×Dic71C22×D412yes—
773C2×Dic71C22×D412yes—
774D284—44no—
775D284—44no—
776D284—82no—
777D284—82no—
778C4×D71—44no—
779C4×D71—44no—
780C4×D71—44no—
781C4×D71—44no—
782C4×D71—44no—
783C4×D71—44no—
784C4×D71—44no—
785C4×D71—82no—
786C4×D71—82no—
787C4×D71—82no—
788C22×C71—22no—
789C22×C71—22no—
790C22×C71—22no—
791C22×C71—22no—
792C22×C71—22no—
793C22×C71—22no—
794C22×C71—41no—
795C22×C71—41no—
796C22×C71—41no—
797C22×C71—41no—
798C22×C71—41no—
799C22×C71—41no—
800C22×C71—41no—
801C22×C71—41no—
802C22×C71—41no—
803C22×C71—41no—
804C22×C71—41no—
805C22×C71—41no—
806C22×C71—41no—
807C22×C71—41no—
808C22×C71—41no—
809C22×C71C23×D411yescharacteristic
810C22×C71C2×H(5,𝔽2)11yescharacteristic
811C22×C71C2×H(5,𝔽2)11yescharacteristic
812C22×C71C2×H(5,𝔽2)11yescharacteristic
813C22×C71C2×2−1+411yescharacteristic
814C22×C71#58511yescharacteristic
815C22×C71#58511yescharacteristic
816C2×D71—22no—
817C2×D71—22no—
818C2×D71—22no—
819C2×D71—22no—
820C2×D71—22no—
821C2×D71—22no—
822C2×D71—22no—
823C2×D71—22no—
824C2×D71—22no—
825C2×D71—22no—
826C2×D71—22no—
827C2×D71—22no—
828C2×D71—416no—
829C2×D71—41no—
830C2×D71—41no—
831C2×D71—41no—
832C2×D71—41no—
833C2×D71—41no—
834C2×D71—41no—
835C2×D71—41no—
836C2×D71—41no—
837C2×D71—41no—
838C2×D71—41no—
839C2×D71—41no—
840C2×D71—41no—
841C2×D71—41no—
842C2×D71—41no—
843C2×D71—41no—
844C2×D71—88no—
845C2×D71#53714yes—
846C4×C71—22no—
847C4×C71—22no—
848C4×C71—41no—
849C4×C71—41no—
850C4×C71—41no—
851C4×C71—41no—
852C4×C71—41no—
853C4×C71—41no—
854C4×C71—41no—
855C4×C71—41no—
856C4×C71—41no—
857C4×C71—41no—
858Dic71—22no—
859Dic71—22no—
860Dic71—41no—
861Dic71—41no—
862Dic71—41no—
863Dic71—41no—
864Dic71—41no—
865Dic71—41no—
866Dic71—41no—
867Dic71—41no—
868Dic71—41no—
869Dic71—41no—
870#36709—711nomaximal, Sylow
871C2×C71—42no—
872C2×C71—42no—
873C2×C71—81no—
874C2×C71C2×#53711yescharacteristic
875C2×C71#348411yescharacteristic
876C2×C71#348511yescharacteristic
877C2×C71#353411yescharacteristic
878C2×C71#353411yescharacteristic
879C2×C71#353511yescharacteristic
880C2×C71#353511yescharacteristic
881D71—24no—
882D71—42no—
883D71—42no—
884D71—81no—
885C2×#538—711no—
886C22×#123—711no—
887#2848—711no—
888#2847—711no—
889#2695—711no—
890#2695—711no—
891#2695—711no—
892#2695—711no—
893#2693—711no—
894#2693—711no—
895#2693—711no—
896#2693—711no—
897#2672—711no—
898#2672—711no—
899#2672—711no—
900#2672D7111yescharacteristic, complemented
901#2671—711no—
902#2671—711no—
903#2671—711no—
904#2671—711no—
905#2627—711no—
906#2618—711no—
907#2534—711no—
908#2534—711no—
909#2487—711no—
910#2487—711no—
911#2412—711no—
912#2412—711no—
913#2410—711no—
914#2410—711no—
915#2315—711no—
916C71#3670911yescharacteristic, complemented, Sylow
917C23×D4—711no—
918C24×C4—711no—
919#538—1428no—
920C2×#126—711no—
921C2×#126—711no—
922C2×#124—711no—
923C2×#124C2×D7111yescharacteristic, complemented
924C2×#123—711no—
925C2×#123—711no—
926C2×#123—711no—
927C2×#123—711no—
928C2×#123—711no—
929C2×#123—711no—
930C2×#123—711no—
931C2×#123—711no—
932C2×#123—711no—
933C2×#123—711no—
934C2×#123—711no—
935C2×#123—1428no—
936C2×#123C2×D7111yescharacteristic
937C2×C22⋊Q8—711no—
938C2×C22⋊Q8—711no—
939C2×C22⋊Q8C2×D7111yescharacteristic, complemented
940C2×#121—711no—
941C2×#121—711no—
942C2×#121—711no—
943C2×#121—711no—
944C2×#121—711no—
945C2×#121—711no—
946C2×#121—711no—
947C2×#121—711no—
948C2×#121C2×D7111yescharacteristic
949C2×#120—711no—
950C2×#120—711no—
951C2×#120—711no—
952C2×#120—711no—
953C2×C4×D4—711no—
954C2×C4×D4—711no—
955C22×C4⋊C4—711no—
956C22×C4⋊C4—711no—
957C22×C22⋊C4—711no—
958C22×C22⋊C4—711no—
959C22×C22⋊C4—711no—
960C22×C22⋊C4—711no—
961C22×C22⋊C4—711no—
962#400—711no—
963#400—711no—
964#400—711no—
965#400—711no—
966#400—711no—
967#400—711no—
968#399—711no—
969#399—711no—
970#399—711no—
971#399C2×D7111yescharacteristic, complemented
972#398—711no—
973#398—711no—
974#398—711no—
975#398—711no—
976#398—711no—
977#398—711no—
978#397—711no—
979#397—711no—
980#397—711no—
981#397—711no—
982#396—711no—
983#396—711no—
984#396—711no—
985#396—711no—
986#396—711no—
987#396—711no—
988#396—711no—
989#396C2×D7111yescharacteristic, complemented
990#395—711no—
991#395C2×D7111yescharacteristic, complemented
992#394—711no—
993#394—711no—
994#394—711no—
995#394—711no—
996#394—711no—
997#394—711no—
998#394—711no—
999#394—711no—
1000#394—711no—
1001#394—711no—
1002#394—711no—
1003#394C2×D7111yescharacteristic
1004#394C2×D7111yescharacteristic, complemented
1005#394C2×D7111yescharacteristic, complemented
1006#392—711no—
1007#392—711no—
1008#392—711no—
1009#392—711no—
1010#389—711no—
1011#389—711no—
1012#389—711no—
1013#389C2×D7111yescharacteristic, complemented
1014#388—711no—
1015#388—711no—
1016#388—711no—
1017#388C2×D7111yescharacteristic, complemented
1018#386—711no—
1019#386—711no—
1020#386—711no—
1021#386—711no—
1022#386—711no—
1023#386—711no—
1024#386—711no—
1025#386—711no—
1026#386—711no—
1027#386—711no—
1028#386—711no—
1029#386—711no—
1030#386—711no—
1031#386—711no—
1032#386—711no—
1033#386—711no—
1034#386—711no—
1035#386—711no—
1036#386—711no—
1037#386C2×D7111yescharacteristic, complemented
1038#385—711no—
1039#385—711no—
1040#385—711no—
1041#385—711no—
1042#385—711no—
1043#385—711no—
1044#385—711no—
1045#385—711no—
1046#385—711no—
1047#385—711no—
1048#385—711no—
1049#385—711no—
1050#385—711no—
1051#385—711no—
1052#385—711no—
1053#385C2×D7111yescharacteristic, complemented
1054#381—711no—
1055#381—711no—
1056#380—711no—
1057#380—711no—
1058#380—711no—
1059#380—711no—
1060#380—711no—
1061#380—711no—
1062#380—711no—
1063#380—711no—
1064#380—711no—
1065#380—711no—
1066#380—711no—
1067#380—711no—
1068#380—711no—
1069#380—711no—
1070#380—711no—
1071#380C2×D7111yescharacteristic, complemented
1072#379—711no—
1073#379—711no—
1074C25—711no—
1075C25—711no—
1076C22×Q8C22×D7111yescharacteristic
1077C22×D4—2842no—
1078C22×D4—2842no—
1079C22×D4—711no—
1080C22×D4—711no—
1081C22×D4—711no—
1082C22×D4—711no—
1083C22×D4—711no—
1084C22×D4—711no—
1085C22×D4—711no—
1086C22×D4—711no—
1087C22×D4—711no—
1088C22×D4—711no—
1089C22×D4—711no—
1090C22×D4—711no—
1091C22×D4—1424no—
1092C22×D4C22×D7111yescharacteristic
1093C22×D4C22×D7111yescharacteristic
1094C22×D4C22×D7111yescharacteristic
1095C23×C4—2842no—
1096C23×C4—2842no—
1097C23×C4—711no—
1098C23×C4—711no—
1099C23×C4—711no—
1100C23×C4—711no—
1101C23×C4—711no—
1102C23×C4—711no—
1103C23×C4—711no—
1104C23×C4—711no—
1105C23×C4—711no—
1106C23×C4—711no—
1107C23×C4—711no—
1108C23×C4—711no—
1109C23×C4—711no—
1110C23×C4—1424no—
1111C23×C4C22×D7111yescharacteristic
1112C23×C4C22×D7111yescharacteristic
1113#126—1424no—
1114#126—1424no—
1115#124—24no—
1116#124—1424no—
1117#123—24no—
1118#123—2842no—
1119#123—2842no—
1120#123—1424no—
1121#123—1424no—
1122#123—1424no—
1123#123—1424no—
1124#123—1424no—
1125#123—1424no—
1126#123—1424no—
1127#123—1424no—
1128#123—1424no—
1129C22⋊Q8—42no—
1130C22⋊Q8—2842no—
1131C22⋊Q8—1424no—
1132#121—42no—
1133#121—2842no—
1134#121—2842no—
1135#121—2842no—
1136#121—2842no—
1137#121—2842no—
1138#121—1424no—
1139#121—1424no—
1140#121—1424no—
1141#120—2842no—
1142#120—2842no—
1143#120—1424no—
1144#120—1424no—
1145C4×D4—1424no—
1146C4×D4—1424no—
1147C2×C4⋊C4—711no—
1148C2×C4⋊C4—711no—
1149C2×C4⋊C4—711no—
1150C2×C4⋊C4—711no—
1151C2×C4⋊C4—711no—
1152C2×C4⋊C4—711no—
1153C2×C4⋊C4—711no—
1154C2×C4⋊C4—711no—
1155C2×C4⋊C4—711no—
1156C2×C4⋊C4—711no—
1157C2×C4⋊C4—711no—
1158C2×C4⋊C4—711no—
1159C2×C4⋊C4—711no—
1160C2×C4⋊C4—711no—
1161C2×C4⋊C4—711no—
1162C2×C4⋊C4—711no—
1163C2×C4⋊C4—711no—
1164C2×C4⋊C4—711no—
1165C2×C4⋊C4—711no—
1166C2×C4⋊C4—711no—
1167C2×C4⋊C4—711no—
1168C2×C4⋊C4—711no—
1169C2×C4⋊C4—711no—
1170C2×C4⋊C4—711no—
1171C2×C4⋊C4—711no—
1172C2×C4⋊C4—1424no—
1173C2×C4⋊C4—1424no—
1174C2×C4⋊C4C22×D7111yescharacteristic
1175C2×C4⋊C4C22×D7111yescharacteristic
1176C2×C4⋊C4C22×D7111yescharacteristic
1177C2×C4⋊C4C22×D7111yescharacteristic
1178C2×C4⋊C4C22×D7111yescharacteristic
1179C2×C4⋊C4C22×D7111yescharacteristic
1180C2×C4⋊C4C22×D7111yescharacteristic
1181C2×C4⋊C4C22×D7111yescharacteristic
1182C2×C4⋊C4C22×D7111yescharacteristic
1183C2×C22⋊C4—2842no—
1184C2×C22⋊C4—2842no—
1185C2×C22⋊C4—711no—
1186C2×C22⋊C4—711no—
1187C2×C22⋊C4—711no—
1188C2×C22⋊C4—711no—
1189C2×C22⋊C4—711no—
1190C2×C22⋊C4—711no—
1191C2×C22⋊C4—711no—
1192C2×C22⋊C4—711no—
1193C2×C22⋊C4—711no—
1194C2×C22⋊C4—711no—
1195C2×C22⋊C4—711no—
1196C2×C22⋊C4—711no—
1197C2×C22⋊C4—711no—
1198C2×C22⋊C4—711no—
1199C2×C22⋊C4—711no—
1200C2×C22⋊C4—711no—
1201C2×C22⋊C4—711no—
1202C2×C22⋊C4—711no—
1203C2×C22⋊C4—711no—
1204C2×C22⋊C4—711no—
1205C2×C22⋊C4—711no—
1206C2×C22⋊C4—711no—
1207C2×C22⋊C4—718no—
1208C2×C22⋊C4—711no—
1209C2×C22⋊C4—711no—
1210C2×C22⋊C4—711no—
1211C2×C22⋊C4—711no—
1212C2×C22⋊C4—711no—
1213C2×C22⋊C4—711no—
1214C2×C22⋊C4—711no—
1215C2×C22⋊C4—711no—
1216C2×C22⋊C4—711no—
1217C2×C22⋊C4—711no—
1218C2×C22⋊C4—711no—
1219C2×C22⋊C4—711no—
1220C2×C22⋊C4—711no—
1221C2×C22⋊C4—711no—
1222C2×C22⋊C4—711no—
1223C2×C22⋊C4—711no—
1224C2×C22⋊C4—711no—
1225C2×C22⋊C4—711no—
1226C2×C22⋊C4—711no—
1227C2×C22⋊C4—1424no—
1228C2×C22⋊C4—1424no—
1229C2×C22⋊C4C22×D7111yescharacteristic
1230C2×C22⋊C4C22×D7111yescharacteristic
1231C2×C22⋊C4C22×D7111yescharacteristic
1232C2×C22⋊C4C22×D7111yescharacteristic
1233C2×C22⋊C4C22×D7111yescharacteristic
1234C2×C22⋊C4C22×D7111yescharacteristic
1235C2×C22⋊C4C22×D7111yescharacteristic
1236C2×C22⋊C4C22×D7111yescharacteristic
1237C2×C22⋊C4C22×D7111yescharacteristic
1238C2×C22⋊C4C22×D7111yescharacteristic
1239C2×C22⋊C4C22×D7111yescharacteristic
1240C2×C22⋊C4C22×D7111yescharacteristic
1241C2×C22⋊C4C22×D7111yescharacteristic
1242C2×C42—711no—
1243C2×C42C22×D7111yescharacteristic
1244#95—711no—
1245#95—711no—
1246#95—711no—
1247#95—711no—
1248#95—711no—
1249#95—711no—
1250#95—711no—
1251#95—711no—
1252#95—711no—
1253#95—711no—
1254#95—711no—
1255#95—711no—
1256#95—711no—
1257#95—711no—
1258#95—711no—
1259#95—711no—
1260#95—711no—
1261#95—711no—
1262#95—711no—
1263#95—711no—
1264#95—711no—
1265#95—711no—
1266#95—711no—
1267#95—711no—
1268#95—711no—
1269#95—711no—
1270#95C22×D7111yescharacteristic
1271#95C22×D7111yescharacteristic
1272#95C22×D7111yescharacteristic
1273#95C22×D7111yescharacteristic
1274#95C22×D7111yescharacteristic
1275#95C22×D7111yescharacteristic
1276C24—2841no—
1277C24—2841no—
1278C24—2841no—
1279C24—2841no—
1280C24—2841no—
1281C24—2841no—
1282C24—714no—
1283C24—711no—
1284C24—711no—
1285C24—711no—
1286C24—711no—
1287C24—1422no—
1288C24—1422no—
1289C24—1422no—
1290C24—1422no—
1291C24—1422no—
1292C24—1422no—
1293C24—1422no—
1294C24C23×D7111yescharacteristic
1295C24C23×D7111yescharacteristic
1296C24C23×D7111yescharacteristic
1297C2×Q8—22no—
1298C2×Q8—41no—
1299C2×Q8—41no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—2841no—
1310C2×D4—2841no—
1311C2×D4—2841no—
1312C2×D4—2841no—
1313C2×D4—2841no—
1314C2×D4—28416no—
1315C2×D4—2841no—
1316C2×D4—2841no—
1317C2×D4—2841no—
1318C2×D4—2841no—
1319C2×D4—2841no—
1320C2×D4—2841no—
1321C2×D4—2841no—
1322C2×D4—2841no—
1323C2×D4—2841no—
1324C2×D4—2841no—
1325C2×D4—2841no—
1326C2×D4—2841no—
1327C2×D4—1422no—
1328C2×D4—1422no—
1329C2×D4—1422no—
1330C2×D4—1422no—
1331C2×D4—1422no—
1332C2×D4—1422no—
1333C2×D4—1422no—
1334C2×D4—1422no—
1335C2×D4—1422no—
1336C2×D4—1422no—
1337C2×D4—1422no—
1338C2×D4—1422no—
1339C2×D4—1422no—
1340C2×D4—1422no—
1341C2×D4—1422no—
1342C2×D4—1422no—
1343C2×D4—1422no—
1344C2×D4—1422no—
1345C2×D4—1422no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—2841no—
1353C22×C4—2841no—
1354C22×C4—2841no—
1355C22×C4—2841no—
1356C22×C4—2841no—
1357C22×C4—2841no—
1358C22×C4—2841no—
1359C22×C4—2841no—
1360C22×C4—2841no—
1361C22×C4—2841no—
1362C22×C4—2841no—
1363C22×C4—2841no—
1364C22×C4—2841no—
1365C22×C4—2841no—
1366C22×C4—2841no—
1367C22×C4—2841no—
1368C22×C4—2841no—
1369C22×C4—2841no—
1370C22×C4—28416no—
1371C22×C4—2841no—
1372C22×C4—2841no—
1373C22×C4—2841no—
1374C22×C4—2841no—
1375C22×C4—2841no—
1376C22×C4—2841no—
1377C22×C4—714no—
1378C22×C4—714no—
1379C22×C4—711no—
1380C22×C4—711no—
1381C22×C4—711no—
1382C22×C4—711no—
1383C22×C4—711no—
1384C22×C4—711no—
1385C22×C4—711no—
1386C22×C4—711no—
1387C22×C4—711no—
1388C22×C4—711no—
1389C22×C4—711no—
1390C22×C4—711no—
1391C22×C4—1422no—
1392C22×C4—1422no—
1393C22×C4—1422no—
1394C22×C4—1422no—
1395C22×C4—1422no—
1396C22×C4—1422no—
1397C22×C4—1422no—
1398C22×C4—1422no—
1399C22×C4—1422no—
1400C22×C4—1422no—
1401C22×C4—1422no—
1402C22×C4—1422no—
1403C22×C4—1422no—
1404C22×C4C23×D7111yescharacteristic
1405C22×C4C23×D7111yescharacteristic
1406C22×C4C23×D7111yescharacteristic
1407C22×C4C23×D7111yescharacteristic
1408C22×C4C23×D7111yescharacteristic
1409C22×C4C23×D7111yescharacteristic
1410C22×C4C23×D7111yescharacteristic
1411C22×C4C23×D7111yescharacteristic
1412C22×C4C23×D7111yescharacteristic
1413C22×C4C23×D7111yescharacteristic
1414C22×C4C23×D7111yescharacteristic
1415C22×C4C23×D7111yescharacteristic
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—2841no—
1426C4⋊C4—2841no—
1427C4⋊C4—2841no—
1428C4⋊C4—2841no—
1429C4⋊C4—2841no—
1430C4⋊C4—2841no—
1431C4⋊C4—2841no—
1432C4⋊C4—2841no—
1433C4⋊C4—2841no—
1434C4⋊C4—2841no—
1435C4⋊C4—2841no—
1436C4⋊C4—2841no—
1437C4⋊C4—2841no—
1438C4⋊C4—1422no—
1439C4⋊C4—1422no—
1440C4⋊C4—1422no—
1441C4⋊C4—1422no—
1442C4⋊C4—1422no—
1443C4⋊C4—1422no—
1444C4⋊C4—1422no—
1445C4⋊C4—1422no—
1446C4⋊C4—1422no—
1447C4⋊C4—1422no—
1448C4⋊C4—1422no—
1449C4⋊C4—1422no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—2841no—
1463C22⋊C4—2841no—
1464C22⋊C4—2841no—
1465C22⋊C4—2841no—
1466C22⋊C4—2841no—
1467C22⋊C4—2841no—
1468C22⋊C4—2841no—
1469C22⋊C4—2841no—
1470C22⋊C4—2841no—
1471C22⋊C4—2841no—
1472C22⋊C4—2841no—
1473C22⋊C4—2841no—
1474C22⋊C4—2841no—
1475C22⋊C4—2841no—
1476C22⋊C4—2841no—
1477C22⋊C4—2841no—
1478C22⋊C4—2841no—
1479C22⋊C4—2841no—
1480C22⋊C4—2841no—
1481C22⋊C4—714no—
1482C22⋊C4—714no—
1483C22⋊C4—714no—
1484C22⋊C4—1422no—
1485C22⋊C4—1422no—
1486C22⋊C4—1422no—
1487C22⋊C4—1422no—
1488C22⋊C4—1422no—
1489C22⋊C4—1422no—
1490C22⋊C4—1422no—
1491C22⋊C4—1422no—
1492C22⋊C4—1422no—
1493C22⋊C4—1422no—
1494C22⋊C4—1422no—
1495C22⋊C4—1422no—
1496C22⋊C4—1422no—
1497C22⋊C4—1422no—
1498C22⋊C4—1422no—
1499C22⋊C4—1422no—
1500C22⋊C4—1422no—
1501C22⋊C4—1422no—
1502C22⋊C4—1422no—
1503C22⋊C4D4×D7114yes—
1504C42—22no—
1505C42—1422no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—2844no—
1526C23—2844no—
1527C23—2844no—
1528C23—2844no—
1529C23—2844no—
1530C23—2844no—
1531C23—2844no—
1532C23—2844no—
1533C23—5682no—
1534C23—5682no—
1535C23—5682no—
1536C23—5682no—
1537C23—712no—
1538C23—712no—
1539C23—712no—
1540C23—712no—
1541C23—712no—
1542C23—1428no—
1543C23—1428no—
1544C23—1421no—
1545C23—1421no—
1546C23—1421no—
1547C23—1421no—
1548C23—1421no—
1549C23—1421no—
1550C23—1421no—
1551C23—1421no—
1552C23—1421no—
1553C23—1421no—
1554C23—1421no—
1555C23—1421no—
1556C23—1421no—
1557C23—1421no—
1558C23—1421no—
1559C23—1421no—
1560C23—1421no—
1561C23—1421no—
1562C23—1421no—
1563C23—1421no—
1564C23—1421no—
1565C23—1421no—
1566C23—1421no—
1567C23C2×D4×D7112yes—
1568C23#1455617312yes—
1569C23C24×D7111yescharacteristic
1570Q8—82no—
1571D4—44no—
1572D4—82no—
1573D4—82no—
1574D4—2844no—
1575D4—2844no—
1576D4—2844no—
1577D4—2844no—
1578D4—2844no—
1579D4—5682no—
1580D4—5682no—
1581D4—5682no—
1582D4—5682no—
1583D4—5682no—
1584D4—5682no—
1585D4—5682no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—44no—
1621C2×C4—82no—
1622C2×C4—2844no—
1623C2×C4—2844no—
1624C2×C4—2844no—
1625C2×C4—2844no—
1626C2×C4—2844no—
1627C2×C4—2844no—
1628C2×C4—2844no—
1629C2×C4—2844no—
1630C2×C4—5682no—
1631C2×C4—5682no—
1632C2×C4—5682no—
1633C2×C4—5682no—
1634C2×C4—5682no—
1635C2×C4—712no—
1636C2×C4—712no—
1637C2×C4—1421no—
1638C2×C4—1421no—
1639C2×C4—1421no—
1640C2×C4—1421no—
1641C2×C4—1421no—
1642C2×C4—1421no—
1643C2×C4—1421no—
1644C2×C4—1421no—
1645C2×C4—1421no—
1646C2×C4—1421no—
1647C2×C4—1421no—
1648C2×C4—1421no—
1649C2×C4—1421no—
1650C2×C4—1421no—
1651C2×C4—1421no—
1652C2×C4—1421no—
1653C2×C4—1421no—
1654C2×C4—1421no—
1655C2×C4—1421no—
1656C2×C4—1421no—
1657C2×C4—1421no—
1658C2×C4—1421no—
1659C2×C4—1421no—
1660C2×C4—1421no—
1661C2×C4—1421no—
1662C2×C4—1421no—
1663C2×C4—1421no—
1664C2×C4—1421no—
1665C2×C4—1421no—
1666C2×C4—1421no—
1667C2×C4—1421no—
1668C2×C4—1421no—
1669C2×C4—1421no—
1670C2×C4—1421no—
1671C2×C4C2×D4×D7112yes—
1672C2×C4C2×D4×D7112yes—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—28416no—
1695C22—2841no—
1696C22—2841no—
1697C22—2841no—
1698C22—2841no—
1699C22—2841no—
1700C22—2841no—
1701C22—2841no—
1702C22—2841no—
1703C22—2841no—
1704C22—2841no—
1705C22—2841no—
1706C22—2841no—
1707C22—2841no—
1708C22—2841no—
1709C22—2841no—
1710C22—5688no—
1711C22—714no—
1712C22—1422no—
1713C22—1422no—
1714C22—1422no—
1715C22—1422no—
1716C22—1422no—
1717C22—1422no—
1718C22—1422no—
1719C22—1422no—
1720C22—1422no—
1721C22—1422no—
1722C22—1422no—
1723C22—1422no—
1724C22C22×D4×D7111yescharacteristic
1725C22H(5,𝔽2)×D7111yescharacteristic
1726C22H(5,𝔽2)×D7111yescharacteristic
1727C22C2×#1455617311yescharacteristic
1728C222−1+4×D7111yescharacteristic
1729C22#1798683511yescharacteristic
1730C22#1798683611yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—2841no—
1744C4—2841no—
1745C4—2841no—
1746C4—2841no—
1747C4—2841no—
1748C4—2841no—
1749C4—2841no—
1750C4—2841no—
1751C4—2841no—
1752C4—2841no—
1753C4—1422no—
1754C4—1422no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—2842no—
1759C2—2842no—
1760C2—5681no—
1761C2—1424no—
1762C2#537×D7111yescharacteristic
1763C2#2260196811yescharacteristic
1764C2#2260197911yescharacteristic
1765C2#2260252211yescharacteristic
1766C2#2260253211yescharacteristic
1767C2#2260253911yescharacteristic
1768C2#2260254211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D71
commutator, socle, cosocleC23×C71C25
FittingC71×#2672C2
hypercenter#2672D71
hypocenterC71#36709
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. C2×#17986583C2semidirect
2. C2×#123×D71C2semidirect
3. #22596624C2semidirect
4. #22596621C2semidirect
5. #22594878C2semidirect
6. #22594876C2semidirect
7. #22594874C2semidirect
8. #22594872C2semidirect
9. #22594852C2semidirect
10. #22594851C2semidirect
11. #22594847C2semidirect
12. #22594845C2semidirect
13. #22594590C2semidirect
14. #22594587C2semidirect
15. #22594586C2semidirect
16. #22594582C2semidirect
17. #22594581C2semidirect
18. #22594570C2semidirect
19. #22594569C2semidirect
20. #22594152C2semidirect
21. #22594087C2semidirect
22. #22593234C2semidirect
23. #22593225C2semidirect
24. #22592655C2semidirect
25. #22592650C2semidirect
26. #22591733C2semidirect
27. #22591731C2semidirect
28. #22591711C2semidirect
29. #22591709C2semidirect
30. #22590951C2semidirect
31. C71×#2672C2semidirect
35. C2×#14556122C22semidirect
36. C2×#14556121C22semidirect
37. C2×#14556117C22semidirect
42. C2×#14556112C22semidirect
47. C2×#14556110C22semidirect
51. C2×#14556104C22semidirect
55. C2×#14556101C22semidirect
56. C2×#14556101C22semidirect
58. C2×#14556100C22semidirect
59. C2×#14556100C22semidirect
73. #17985941C22semidirect
74. #17985941C22semidirect
75. #17985939C22semidirect
76. #17985939C22semidirect
77. #17985938C22semidirect
78. #17985937C22semidirect
79. #17985935C22semidirect
80. #17985934C22semidirect
81. #17985934C22semidirect
82. #17985933C22semidirect
83. #17985933C22semidirect
84. #17985933C22semidirect
85. #17985932C22semidirect
86. #17985930C22semidirect
87. #17985930C22semidirect
88. #17985928C22semidirect
89. #17985927C22semidirect
90. #17985925C22semidirect
91. #17985924C22semidirect
92. #17985922C22semidirect
93. #17985922C22semidirect
94. #17985922C22semidirect
95. #17985921C22semidirect
96. #17985921C22semidirect
97. #17985921C22semidirect
98. #17985921C22semidirect
99. #17985918C22semidirect
100. #17985917C22semidirect
101. #17985917C22semidirect
103. #17985916C22semidirect
104. #17985915C22semidirect
105. #17985915C22semidirect
108. #17985914C22semidirect
109. #17985914C22semidirect
110. #17985913C22semidirect
115. #17985897C22semidirect
116. #17985894C22semidirect
117. #17985894C22semidirect
118. #17985892C22semidirect
119. #17985890C22semidirect
120. #17985888C22semidirect
122. #17985879C22semidirect
124. #17985878C22semidirect
125. #17985878C22semidirect
129. #17985877C22semidirect
130. #17985877C22semidirect
131. #17985876C22semidirect
132. #17985876C22semidirect
136. #17985875C22semidirect
137. #17985875C22semidirect
138. #17985875C22semidirect
139. #17985875C22semidirect
140. #17985874C22semidirect
141. #17985873C22semidirect
142. #17985873C22semidirect
143. #17985872C22semidirect
144. #17985871C22semidirect
145. #17985871C22semidirect
146. #17985871C22semidirect
151. #17985870C22semidirect
152. #17985870C22semidirect
153. #17985870C22semidirect
154. #17985870C22semidirect
157. #17985859C22semidirect
160. #17985858C22semidirect
161. #17985858C22semidirect
162. #17985857C22semidirect
163. #17985857C22semidirect
164. #17985857C22semidirect
165. #17985857C22semidirect
168. #17985856C22semidirect
169. #17985856C22semidirect
170. #17985856C22semidirect
171. #17985856C22semidirect
174. C2×#124×C71C22semidirect
176. C2×C22⋊Q8×C71C22semidirect
178. #399×C71C22semidirect
179. #396×C71C22semidirect
180. #395×C71C22semidirect
182. #394×C71C22semidirect
183. #394×C71C22semidirect
184. #389×C71C22semidirect
185. #388×C71C22semidirect
186. #386×C71C22semidirect
187. #385×C71C22semidirect
188. #380×C71C22semidirect
324. C22⋊C4×D71D4semidirect
900. #2672D71semidirect
916. C71#36709semidirect
923. C2×#124C2×D71semidirect
939. C2×C22⋊Q8C2×D71semidirect
971. #399C2×D71semidirect
989. #396C2×D71semidirect
991. #395C2×D71semidirect
1004. #394C2×D71semidirect
1005. #394C2×D71semidirect
1013. #389C2×D71semidirect
1017. #388C2×D71semidirect
1037. #386C2×D71semidirect
1053. #385C2×D71semidirect
1071. #380C2×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179865832
C2×#123×D712
#225966242
#225966212
#225948782
#225948762
#225948742
#225948722
#225948522
#225948512
#225948472
#225948452
#225945902
#225945872
#225945862
#225945822
#225945812
#225945702
#225945692
#225941522
#225940872
#225932342
#225932252
#225926552
#225926502
#225917332
#225917312
#225917112
#225917092
#225909512
C71×#26722
#3670971