Finite Group Databasebeta

← #32863382

Subgroups — #32863382

Order 18176.

1940 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22601942C211yesmaximal, characteristic
2#22597498C211yesmaximal, characteristic, complemented
3#22597497C211yesmaximal, characteristic, complemented
4#22597487C211yesmaximal, characteristic, complemented
5#22597482C211yesmaximal, characteristic, complemented
6#22597468C211yesmaximal, characteristic, complemented
7#22597460C211yesmaximal, characteristic, complemented
8#22597404C211yesmaximal, characteristic, complemented
9#22597389C211yesmaximal, characteristic, complemented
10#22597388C211yesmaximal, characteristic, complemented
11#22597384C211yesmaximal, characteristic, complemented
12#22597383C211yesmaximal, characteristic, complemented
13#22597371C211yesmaximal, characteristic, complemented
14#22597370C211yesmaximal, characteristic, complemented
15#22597362C211yesmaximal, characteristic, complemented
16#22597361C211yesmaximal, characteristic, complemented
17#22597340C211yesmaximal, characteristic, complemented
18#22597339C211yesmaximal, characteristic, complemented
19#22597311C211yesmaximal, characteristic, complemented
20#22597310C211yesmaximal, characteristic, complemented
21#22597300C211yesmaximal, characteristic, complemented
22C8×#11765864C211yesmaximal, characteristic, complemented
23M16×C22⋊D71C211yesmaximal, characteristic, complemented
24#22597073C211yesmaximal, characteristic, complemented
25#22597063C211yesmaximal, characteristic, complemented
26#22597062C211yesmaximal, characteristic, complemented
27#22597060C211yesmaximal, characteristic, complemented
28#22597050C211yesmaximal, characteristic, complemented
29C2×#17986075C211yesmaximal, characteristic, complemented
30#436×D71C211yesmaximal, characteristic, complemented
31C71×#2933C211yesmaximal, characteristic, complemented
32C2×#14556134C2211yescharacteristic, complemented
33C22×#11765848C2211yescharacteristic, complemented
34C2×M16×D71C2211yescharacteristic, complemented
35C2×M16×D71C2211yescharacteristic, complemented
36#17986733C411yescharacteristic
37#17986703C411yescharacteristic
38#17986703C411yescharacteristic
39#17986694C411yescharacteristic
40#17986694C411yescharacteristic
41#17986692C411yescharacteristic
42#17986692C411yescharacteristic
43#17986680C411yescharacteristic
44#17986677C411yescharacteristic
45#17986676C411yescharacteristic
46#17986676C411yescharacteristic
47#17986638C411yescharacteristic
48#17986638C411yescharacteristic
49#17986636C411yescharacteristic
50#17986636C411yescharacteristic
51#17986631C411yescharacteristic
52#17986545C2211yescharacteristic
53#17986529C2211yescharacteristic
54#17986529C2211yescharacteristic
55#17986527C2211yescharacteristic
56#17986527C2211yescharacteristic
57#17986508C2211yescharacteristic
58#17986508C2211yescharacteristic
59#17986506C2211yescharacteristic
60C4×#11765864C2211yescharacteristic
61C4×#11765864C2211yescharacteristic
62C2×C4×C22⋊D71C2211yescharacteristic
63C2×C4×C22⋊D71C2211yescharacteristic
64C4×D4×D71C2211yescharacteristic
65C4×D4×D71C2211yescharacteristic
66#17986128C2211yescharacteristic, complemented
67#17986128C2211yescharacteristic, complemented
68#17986127C2211yescharacteristic, complemented
69#17986127C2211yescharacteristic, complemented
70C8×Dic142C2211yescharacteristic, complemented
71C8×Dic142C2211yescharacteristic, complemented
72#17986123C2211yescharacteristic, complemented
73#17986123C2211yescharacteristic, complemented
74#17986078C2211yescharacteristic, complemented
75#17986077C2211yescharacteristic, complemented
76#17986077C2211yescharacteristic, complemented
77#17986076C2211yescharacteristic, complemented
78#17986075C2211yescharacteristic
79#17986075C2211yescharacteristic
80#17986075C2211yescharacteristic, complemented
81#17986075C2211yescharacteristic, complemented
82#17986075C2211yescharacteristic, complemented
83#17986075C2211yescharacteristic, complemented
84#17986075C2211yescharacteristic, complemented
85#17986075C2211yescharacteristic, complemented
86#17986075C2211yescharacteristic, complemented
87#17986075C2211yescharacteristic, complemented
88#17986075C2211yescharacteristic, complemented
89#17986075C2211yescharacteristic, complemented
90#17986075C2211yescharacteristic, complemented
91#17986074C2211yescharacteristic
92#17986074C2211yescharacteristic
93#17986074C2211yescharacteristic, complemented
94#17986074C2211yescharacteristic, complemented
95#17986074C2211yescharacteristic, complemented
96#17986073C2211yescharacteristic, complemented
97#17986073C2211yescharacteristic, complemented
98#17986073C2211yescharacteristic, complemented
99#17986072C2211yescharacteristic, complemented
100#17986072C2211yescharacteristic, complemented
101#17986071C2211yescharacteristic, complemented
102#17986071C2211yescharacteristic, complemented
103#17986071C2211yescharacteristic, complemented
104#17986071C2211yescharacteristic, complemented
105#17986070C2211yescharacteristic, complemented
106#17986070C2211yescharacteristic, complemented
107#17986070C2211yescharacteristic, complemented
108#17986070C2211yescharacteristic, complemented
109#17986070C2211yescharacteristic, complemented
110#17986069C2211yescharacteristic, complemented
111#17986069C2211yescharacteristic, complemented
112#17986068C2211yescharacteristic, complemented
113#17986068C2211yescharacteristic, complemented
114#17986068C2211yescharacteristic, complemented
115#17986067C2211yescharacteristic, complemented
116C8×D284C2211yescharacteristic, complemented
117D4×C71⋊C8C2211yescharacteristic, complemented
118D4×C71⋊C8C2211yescharacteristic, complemented
119#17986064C2211yescharacteristic, complemented
120C8×C22⋊D71C2211yescharacteristic
121C8×C22⋊D71C2211yescharacteristic
122C8×C22⋊D71C2211yescharacteristic, complemented
123C8×C22⋊D71C2211yescharacteristic, complemented
124C8×C22⋊D71C2211yescharacteristic, complemented
125C8×C22⋊D71C2211yescharacteristic, complemented
126C8×C22⋊D71C2211yescharacteristic, complemented
127C8×C22⋊D71C2211yescharacteristic, complemented
128C8×C22⋊D71C2211yescharacteristic, complemented
129C8×C22⋊D71C2211yescharacteristic, complemented
130C8×C22⋊D71C2211yescharacteristic, complemented
131(C22⋊D71)⋊C8C2211yescharacteristic
132(C22⋊D71)⋊C8C2211yescharacteristic
133(C22⋊D71)⋊C8C2211yescharacteristic, complemented
134(C22⋊D71)⋊C8C2211yescharacteristic, complemented
135(C22⋊D71)⋊C8C2211yescharacteristic, complemented
136(C22⋊D71)⋊C8C2211yescharacteristic, complemented
137(C22⋊D71)⋊C8C2211yescharacteristic, complemented
138#17986061C2211yescharacteristic, complemented
139#17986060C2211yescharacteristic, complemented
140#17986060C2211yescharacteristic, complemented
141#17986059C2211yescharacteristic, complemented
142#17986059C2211yescharacteristic, complemented
143#17986058C2211yescharacteristic, complemented
144#17986057C2211yescharacteristic, complemented
145#17986057C2211yescharacteristic, complemented
146#17986054C2211yescharacteristic, complemented
147#17986053C2211yescharacteristic, complemented
148#17986051C2211yescharacteristic, complemented
149#17986051C2211yescharacteristic, complemented
150#17986050C2211yescharacteristic, complemented
151#17986049C2211yescharacteristic, complemented
152#17986049C2211yescharacteristic, complemented
153#17986049C2211yescharacteristic, complemented
154#17986049C2211yescharacteristic, complemented
155#17986049C2211yescharacteristic, complemented
156#17986025C2211yescharacteristic, complemented
157#17986024C2211yescharacteristic, complemented
158#17986024C2211yescharacteristic, complemented
159#17986022C2211yescharacteristic, complemented
160#17986022C2211yescharacteristic, complemented
161#17986021C2211yescharacteristic, complemented
162C2×Dic71⋊C8C2211yescharacteristic, complemented
163C4⋊C8×D71C2211yescharacteristic, complemented
164#17985967C2211yescharacteristic, complemented
165#17985966C2211yescharacteristic, complemented
166#17985966C2211yescharacteristic, complemented
167#17985964C2211yescharacteristic, complemented
168#17985964C2211yescharacteristic, complemented
169#17985963C2211yescharacteristic, complemented
170#17985962C2211yescharacteristic, complemented
171#17985961C2211yescharacteristic, complemented
172#17985961C2211yescharacteristic, complemented
173C2×C22⋊(C71⋊C8)C2211yescharacteristic, complemented
174C2×(C2×D71)⋊C8C2211yescharacteristic, complemented
175C2×(C2×D71)⋊C8C2211yescharacteristic, complemented
176C22⋊C8×D71C2211yescharacteristic, complemented
177C22⋊C8×D71C2211yescharacteristic, complemented
178C22⋊C8×D71C2211yescharacteristic, complemented
179C22⋊C8×D71C2211yescharacteristic, complemented
180#17985957C2211yescharacteristic, complemented
181#17985956C2211yescharacteristic, complemented
182#17985953C2211yescharacteristic, complemented
183#17985951C2211yescharacteristic, complemented
184M16×Dic71C2211yescharacteristic, complemented
185C2×C8×Dic71C2211yescharacteristic, complemented
186C2×C8×Dic71C2211yescharacteristic, complemented
187C4×C8×D71C2211yescharacteristic, complemented
188C2×#131×C71C2211yescharacteristic, complemented
189C22×M16×C71C2211yescharacteristic, complemented
190#525×C71C2211yescharacteristic
191#436×C71C2211yescharacteristic, complemented
192#436×C71C2211yescharacteristic, complemented
193#435×C71C2211yescharacteristic, complemented
194#435×C71C2211yescharacteristic, complemented
195#435×C71C2211yescharacteristic, complemented
196#435×C71C2211yescharacteristic, complemented
197C8×D4×C71C2211yescharacteristic, complemented
198C8×D4×C71C2211yescharacteristic, complemented
199#424×C71C2211yescharacteristic, complemented
200#408×C71C2211yescharacteristic, complemented
201C2×C22⋊C8×C71C2211yescharacteristic, complemented
202#405×C71C2211yescharacteristic, complemented
203C2×#11765865C2311yescharacteristic
204C2×#11765864C2×C411yescharacteristic
205C2×#11765864C2×C411yescharacteristic
206C22×C22⋊D71C2×C411yescharacteristic
207C22×C22⋊D71C2×C411yescharacteristic
208C2×D4×D71C2×C411yescharacteristic
209C2×D4×D71C2×C411yescharacteristic
210C22×C4×D71C2311yescharacteristic
211C22×C4×D71C2311yescharacteristic
212C22×C4×D71C2311yescharacteristic
213#14556134—42no—
214C2×#11765849C2311yescharacteristic
215C2×#11765849C2311yescharacteristic
216C2×#11765849C2311yescharacteristic
217C2×#11765849C2311yescharacteristic
218C2×#11765848—42no—
219C2×#11765848C2311yescharacteristic
220C2×#11765848C2311yescharacteristic
221C2×#11765848C2311yescharacteristic
222C2×#11765848C2311yescharacteristic
223C2×#11765848C2311yescharacteristic
224C2×#11765848C2311yescharacteristic
225C2×#11765848C2311yescharacteristic
226C2×#11765848C2311yescharacteristic
227M16×D71—42no—
228M16×D71—42no—
229C22×C71⋊C8C2311yescharacteristic
230C22×C71⋊C8C2311yescharacteristic
231C22×C71⋊C8C2311yescharacteristic
232C22×C71⋊C8C2311yescharacteristic
233C2×C8×D71C2311yescharacteristic
234C2×C8×D71C2311yescharacteristic
235C2×C8×D71C2311yescharacteristic
236C2×C8×D71C2311yescharacteristic
237C2×C8×D71C2311yescharacteristic
238C2×C8×D71C2311yescharacteristic
239C2×C8×D71C2311yescharacteristic
240C2×C8×D71C2311yescharacteristic
241#14556126C2×C411yescharacteristic
242#14556124C2×C411yescharacteristic
243#14556123C2×C411yescharacteristic
244#14556123C2×C411yescharacteristic
245#14556123C2×C411yescharacteristic
246#14556123C2×C411yescharacteristic
247#14556121C2×C411yescharacteristic
248#14556121C2×C411yescharacteristic
249#14556121C2×C411yescharacteristic
250#14556121C2×C411yescharacteristic
251#14556118C2×C411yescharacteristic
252#14556118C2×C411yescharacteristic
253#14556118C2×C411yescharacteristic
254#14556118C2×C411yescharacteristic
255#14556117C2×C411yescharacteristic
256#14556115C2×C411yescharacteristic
257#14556114C2×C411yescharacteristic
258#14556114C2×C411yescharacteristic
259#14556114C2×C411yescharacteristic
260#14556114C2×C411yescharacteristic
261#14556113C2×C411yescharacteristic
262#14556113C2×C411yescharacteristic
263#14556113C2×C411yescharacteristic
264#14556113C2×C411yescharacteristic
265#14556112C2×C411yescharacteristic
266#14556112C2×C411yescharacteristic
267#14556110C2×C411yescharacteristic
268#14556110C2×C411yescharacteristic
269#14556110C2×C411yescharacteristic
270#14556110C2×C411yescharacteristic
271#14556109C2×C411yescharacteristic
272#14556109C2×C411yescharacteristic
273#14556109C2×C411yescharacteristic
274#14556109C2×C411yescharacteristic
275#14556106C2×C411yescharacteristic
276#14556106C2×C411yescharacteristic
277#14556106C2×C411yescharacteristic
278#14556106C2×C411yescharacteristic
279#14556105C2×C411yescharacteristic
280#14556105C2×C411yescharacteristic
281#14556105C2×C411yescharacteristic
282#14556105C2×C411yescharacteristic
283#14556104C2×C411yescharacteristic
284#14556104C2×C411yescharacteristic
285#14556101C2×C411yescharacteristic
286#14556101C2×C411yescharacteristic
287#14556101C2×C411yescharacteristic
288#14556101C2×C411yescharacteristic
289#14556100C2×C411yescharacteristic
290#14556100C2×C411yescharacteristic
291#14556100C2×C411yescharacteristic
292#14556100C2×C411yescharacteristic
293#14556100C2×C411yescharacteristic
294#14556100C2×C411yescharacteristic
295#14556100C2×C411yescharacteristic
296#14556100C2×C411yescharacteristic
297#14556099C2×C411yescharacteristic
298#14556099C2×C411yescharacteristic
299#14556098C2×C411yescharacteristic
300#14556098C2×C411yescharacteristic
301#14556096C2×C411yescharacteristic
302#14556096C2×C411yescharacteristic
303#14556096C2×C411yescharacteristic
304#14556096C2×C411yescharacteristic
305C4×Dic142C2311yescharacteristic
306C4×Dic142C2311yescharacteristic
307#14556093C2×C411yescharacteristic
308#14556093C2×C411yescharacteristic
309C4×D284C2311yescharacteristic
310C4×D284C2311yescharacteristic
311D4×Dic71C2×C411yescharacteristic
312D4×Dic71C2×C411yescharacteristic
313D4×Dic71C2×C411yescharacteristic
314D4×Dic71C2×C411yescharacteristic
315#14556090C2×C411yescharacteristic
316#14556090C2×C411yescharacteristic
317C4×C22⋊D71C2×C411yescharacteristic
318C4×C22⋊D71C2×C411yescharacteristic
319C4×C22⋊D71C2×C411yescharacteristic
320C4×C22⋊D71C2×C411yescharacteristic
321C4×C22⋊D71C2×C411yescharacteristic
322C4×C22⋊D71C2×C411yescharacteristic
323C4×C22⋊D71C2×C411yescharacteristic
324C4×C22⋊D71C2×C411yescharacteristic
325C4×C22⋊D71C2311yescharacteristic
326C4×C22⋊D71C2311yescharacteristic
327C4×C22⋊D71C2311yescharacteristic
328C4×C22⋊D71C2311yescharacteristic
329C4×C22⋊D71C2311yescharacteristic
330C4×C22⋊D71C2311yescharacteristic
331C4×C22⋊D71C2311yescharacteristic
332C4×C22⋊D71C2311yescharacteristic
333C4×C22⋊D71C2311yescharacteristic
334C4×C22⋊D71C2311yescharacteristic
335C4×C22⋊D71C2311yescharacteristic
336C4×C22⋊D71C2311yescharacteristic
337(C22⋊D71)⋊C4C2×C411yescharacteristic
338(C22⋊D71)⋊C4C2×C411yescharacteristic
339(C22⋊D71)⋊C4C2×C411yescharacteristic
340(C22⋊D71)⋊C4C2×C411yescharacteristic
341(C22⋊D71)⋊C4C2×C411yescharacteristic
342(C22⋊D71)⋊C4C2×C411yescharacteristic
343(C22⋊D71)⋊C4C2×C411yescharacteristic
344(C22⋊D71)⋊C4C2×C411yescharacteristic
345#14556087C2311yescharacteristic
346#14556086C2×C411yescharacteristic
347#14556086C2×C411yescharacteristic
348#14556085C2311yescharacteristic
349#14556085C2311yescharacteristic
350#14556084C2×C411yescharacteristic
351#14556084C2×C411yescharacteristic
352#14556084C2×C411yescharacteristic
353#14556084C2×C411yescharacteristic
354C2×Dic71⋊C4C2×C411yescharacteristic
355C2×Dic71⋊C4C2×C411yescharacteristic
356C4⋊C4×D71C2×C411yescharacteristic
357C4⋊C4×D71C2×C411yescharacteristic
358C2×C22⋊Dic71C2×C411yescharacteristic
359C2×C22⋊Dic71C2×C411yescharacteristic
360C2×(C2×D71)⋊C4C2×C411yescharacteristic
361C2×(C2×D71)⋊C4C2×C411yescharacteristic
362C22⋊C4×D71C2×C411yescharacteristic
363C22⋊C4×D71C2×C411yescharacteristic
364C22⋊C4×D71C2×C411yescharacteristic
365C22⋊C4×D71C2×C411yescharacteristic
366C2×C4×Dic71C2311yescharacteristic
367C2×C4×Dic71C2311yescharacteristic
368C2×C4×Dic71C2311yescharacteristic
369C42×D71C2311yescharacteristic
370C42×D71C2311yescharacteristic
371C4⋊(C71⋊C8)C2311yescharacteristic
372C4⋊(C71⋊C8)C2311yescharacteristic
373C4⋊(C71⋊C8)C2311yescharacteristic
374C4⋊(C71⋊C8)C2311yescharacteristic
375Dic71⋊C8C2311yescharacteristic
376Dic71⋊C8C2311yescharacteristic
377Dic71⋊C8C2311yescharacteristic
378Dic71⋊C8C2311yescharacteristic
379Dic71⋊C8C2311yescharacteristic
380Dic71⋊C8C2311yescharacteristic
381Dic71⋊C8C2311yescharacteristic
382Dic71⋊C8C2311yescharacteristic
383Dic71⋊C8C2311yescharacteristic
384Dic71⋊C8C2311yescharacteristic
385Dic71⋊C8C2311yescharacteristic
386Dic71⋊C8C2311yescharacteristic
387Dic71⋊C8C2311yescharacteristic
388Dic71⋊C8C2311yescharacteristic
389Dic71⋊C8C2311yescharacteristic
390Dic71⋊C8C2311yescharacteristic
391C22⋊(C71⋊C8)C2311yescharacteristic
392C22⋊(C71⋊C8)C2311yescharacteristic
393C22⋊(C71⋊C8)C2311yescharacteristic
394C22⋊(C71⋊C8)C2311yescharacteristic
395C22⋊(C71⋊C8)C2311yescharacteristic
396C22⋊(C71⋊C8)C2311yescharacteristic
397C22⋊(C71⋊C8)C2311yescharacteristic
398C22⋊(C71⋊C8)C2311yescharacteristic
399C22⋊(C71⋊C8)C2311yescharacteristic
400C22⋊(C71⋊C8)C2311yescharacteristic
401C22⋊(C71⋊C8)C2311yescharacteristic
402C22⋊(C71⋊C8)C2311yescharacteristic
403(C2×D71)⋊C8C2311yescharacteristic
404(C2×D71)⋊C8C2311yescharacteristic
405(C2×D71)⋊C8C2311yescharacteristic
406(C2×D71)⋊C8C2311yescharacteristic
407(C2×D71)⋊C8C2311yescharacteristic
408(C2×D71)⋊C8C2311yescharacteristic
409(C2×D71)⋊C8C2311yescharacteristic
410(C2×D71)⋊C8C2311yescharacteristic
411(C2×D71)⋊C8C2311yescharacteristic
412(C2×D71)⋊C8C2311yescharacteristic
413(C2×D71)⋊C8C2311yescharacteristic
414(C2×D71)⋊C8C2311yescharacteristic
415(C2×D71)⋊C8C2311yescharacteristic
416(C2×D71)⋊C8C2311yescharacteristic
417(C2×D71)⋊C8C2311yescharacteristic
418(C2×D71)⋊C8C2311yescharacteristic
419#14556039C2311yescharacteristic
420#14556039C2311yescharacteristic
421#14556038C2311yescharacteristic
422#14556038C2311yescharacteristic
423#14556038C2311yescharacteristic
424#14556038C2311yescharacteristic
425C4×C71⋊C8C2311yescharacteristic
426C4×C71⋊C8C2311yescharacteristic
427C8×Dic71C2311yescharacteristic
428C8×Dic71C2311yescharacteristic
429C8×Dic71C2311yescharacteristic
430C8×Dic71C2311yescharacteristic
431C8×Dic71C2311yescharacteristic
432C8×Dic71C2311yescharacteristic
433C8×Dic71C2311yescharacteristic
434C8×Dic71C2311yescharacteristic
435C8×Dic71C2311yescharacteristic
436C8×Dic71C2311yescharacteristic
437C8×Dic71C2311yescharacteristic
438C8×Dic71C2311yescharacteristic
439C2×#41×C71C2311yescharacteristic
440C23×C4×C71C2311yescharacteristic
441#131×C71—42no—
442C2×M16×C71—42no—
443C2×M16×C71C2311yescharacteristic
444C2×M16×C71C2311yescharacteristic
445C2×M16×C71C2311yescharacteristic
446C2×M16×C71C2311yescharacteristic
447C2×M16×C71C2311yescharacteristic
448C2×M16×C71C2311yescharacteristic
449C22×C8×C71C2311yescharacteristic
450C22×C8×C71C2311yescharacteristic
451C22×C8×C71C2311yescharacteristic
452C22×C8×C71C2311yescharacteristic
453C22×C8×C71C2311yescharacteristic
454C22×C8×C71C2311yescharacteristic
455#123×C71C2×C411yescharacteristic
456#123×C71C2×C411yescharacteristic
457C22⋊Q8×C71C2×C411yescharacteristic
458C22⋊Q8×C71C2×C411yescharacteristic
459#121×C71C2×C411yescharacteristic
460#121×C71C2×C411yescharacteristic
461#120×C71C2×C411yescharacteristic
462#120×C71C2×C411yescharacteristic
463C4×D4×C71C2311yescharacteristic
464C4×D4×C71C2311yescharacteristic
465C4×D4×C71C2311yescharacteristic
466C4×D4×C71C2311yescharacteristic
467#117×C71C2311yescharacteristic
468C4⋊C8×C71C2311yescharacteristic
469C4⋊C8×C71C2311yescharacteristic
470C4⋊C8×C71C2311yescharacteristic
471C4⋊C8×C71C2311yescharacteristic
472C22⋊C8×C71C2311yescharacteristic
473C22⋊C8×C71C2311yescharacteristic
474C22⋊C8×C71C2311yescharacteristic
475C22⋊C8×C71C2311yescharacteristic
476C22⋊C8×C71C2311yescharacteristic
477C22⋊C8×C71C2311yescharacteristic
478C22⋊C8×C71C2311yescharacteristic
479C22⋊C8×C71C2311yescharacteristic
480#97×C71C2311yescharacteristic
481#97×C71C2311yescharacteristic
482C4×C8×C71C2311yescharacteristic
483C4×C8×C71C2311yescharacteristic
484C23×D71C22×C411yescharacteristic
485C23×D71C22×C411yescharacteristic
486C23×D71C22×C411yescharacteristic
487#11765865—41no—
488#11765865—41no—
489#11765864—24no—
490#11765864—42no—
491C2×Dic142C22×C411yescharacteristic
492C2×Dic142C22×C411yescharacteristic
493C2×Dic142C22×C411yescharacteristic
494C2×D284C22×C411yescharacteristic
495C2×D284C22×C411yescharacteristic
496C2×D284C22×C411yescharacteristic
497C2×C22⋊D71—24no—
498C2×C22⋊D71—42no—
499C2×C22⋊D71C22×C411yescharacteristic
500C2×C22⋊D71C22×C411yescharacteristic
501C2×C22⋊D71C22×C411yescharacteristic
502C2×C22⋊D71C22×C411yescharacteristic
503C2×C22⋊D71C22×C411yescharacteristic
504C2×C22⋊D71C22×C411yescharacteristic
505C2×C22⋊D71C22×C411yescharacteristic
506C2×C22⋊D71C22×C411yescharacteristic
507C2×C22⋊D71C22×C411yescharacteristic
508C2×C22⋊D71C22×C411yescharacteristic
509C2×C22⋊D71C22×C411yescharacteristic
510C2×C22⋊D71C22×C411yescharacteristic
511C2×C22⋊D71C22×C411yescharacteristic
512C2×C22⋊D71C22×C411yescharacteristic
513D4×D71—24no—
514D4×D71—42no—
515C22×Dic71C22×C411yescharacteristic
516C22×Dic71C22×C411yescharacteristic
517C22×Dic71C22×C411yescharacteristic
518C22×Dic71C22×C411yescharacteristic
519C22×Dic71C22×C411yescharacteristic
520C22×Dic71C22×C411yescharacteristic
521C22×Dic71C22×C411yescharacteristic
522C22×Dic71C22×C411yescharacteristic
523C22×Dic71C22×C411yescharacteristic
524C2×C4×D71—41no—
525C2×C4×D71—41no—
526C2×C4×D71—41no—
527C2×C4×D71—41no—
528C2×C4×D71—41no—
529C2×C4×D71—41no—
530C2×C4×D71C22×C411yescharacteristic
531C2×C4×D71C22×C411yescharacteristic
532C2×C4×D71C22×C411yescharacteristic
533C2×C4×D71C22×C411yescharacteristic
534C2×C4×D71C22×C411yescharacteristic
535C2×C4×D71C22×C411yescharacteristic
536C2×C4×D71C22×C411yescharacteristic
537C2×C4×D71C22×C411yescharacteristic
538C2×C4×D71C22×C411yescharacteristic
539C2×C4×D71C22×C411yescharacteristic
540C2×C4×D71C2411yescharacteristic
541C2×C4×D71C2411yescharacteristic
542C2×C4×D71C2411yescharacteristic
543C2×C4×D71C2411yescharacteristic
544#11765849—41no—
545#11765849—41no—
546#11765849—41no—
547#11765849—41no—
548#11765848—22no—
549#11765848—22no—
550#11765848—22no—
551#11765848—41no—
552#11765848—41no—
553#11765848—41no—
554#11765848—41no—
555#11765848—41no—
556C2×C71⋊C8—41no—
557C2×C71⋊C8—41no—
558C2×C71⋊C8—41no—
559C2×C71⋊C8—41no—
560C2×C71⋊C8C2411yescharacteristic
561C2×C71⋊C8C2411yescharacteristic
562C2×C71⋊C8C2411yescharacteristic
563C2×C71⋊C8C2411yescharacteristic
564C2×C71⋊C8C2411yescharacteristic
565C2×C71⋊C8C2411yescharacteristic
566C2×C71⋊C8C2411yescharacteristic
567C2×C71⋊C8C2411yescharacteristic
568C8×D71—22no—
569C8×D71—41no—
570C8×D71—41no—
571C8×D71—41no—
572C8×D71—41no—
573C8×D71—41no—
574C8×D71—41no—
575C8×D71—41no—
576C4⋊Dic71C22×C411yescharacteristic
577C4⋊Dic71C22×C411yescharacteristic
578C4⋊Dic71C22×C411yescharacteristic
579C4⋊Dic71C22×C411yescharacteristic
580C4⋊Dic71C22×C411yescharacteristic
581C4⋊Dic71C22×C411yescharacteristic
582Dic71⋊C4C22×C411yescharacteristic
583Dic71⋊C4C22×C411yescharacteristic
584Dic71⋊C4C22×C411yescharacteristic
585Dic71⋊C4C22×C411yescharacteristic
586Dic71⋊C4C22×C411yescharacteristic
587Dic71⋊C4C22×C411yescharacteristic
588Dic71⋊C4C22×C411yescharacteristic
589Dic71⋊C4C22×C411yescharacteristic
590Dic71⋊C4C22×C411yescharacteristic
591Dic71⋊C4C22×C411yescharacteristic
592Dic71⋊C4C22×C411yescharacteristic
593Dic71⋊C4C22×C411yescharacteristic
594Dic71⋊C4C22×C411yescharacteristic
595Dic71⋊C4C22×C411yescharacteristic
596Dic71⋊C4C22×C411yescharacteristic
597Dic71⋊C4C22×C411yescharacteristic
598Dic71⋊C4C22×C411yescharacteristic
599Dic71⋊C4C22×C411yescharacteristic
600Dic71⋊C4C22×C411yescharacteristic
601Dic71⋊C4C22×C411yescharacteristic
602C22⋊Dic71C22×C411yescharacteristic
603C22⋊Dic71C22×C411yescharacteristic
604C22⋊Dic71C22×C411yescharacteristic
605C22⋊Dic71C22×C411yescharacteristic
606C22⋊Dic71C22×C411yescharacteristic
607C22⋊Dic71C22×C411yescharacteristic
608C22⋊Dic71C22×C411yescharacteristic
609C22⋊Dic71C22×C411yescharacteristic
610C22⋊Dic71C22×C411yescharacteristic
611C22⋊Dic71C22×C411yescharacteristic
612C22⋊Dic71C22×C411yescharacteristic
613C22⋊Dic71C22×C411yescharacteristic
614C22⋊Dic71C22×C411yescharacteristic
615C22⋊Dic71C22×C411yescharacteristic
616(C2×D71)⋊C4C22×C411yescharacteristic
617(C2×D71)⋊C4C22×C411yescharacteristic
618(C2×D71)⋊C4C22×C411yescharacteristic
619(C2×D71)⋊C4C22×C411yescharacteristic
620(C2×D71)⋊C4C22×C411yescharacteristic
621(C2×D71)⋊C4C22×C411yescharacteristic
622(C2×D71)⋊C4C22×C411yescharacteristic
623(C2×D71)⋊C4C22×C411yescharacteristic
624(C2×D71)⋊C4C22×C411yescharacteristic
625(C2×D71)⋊C4C22×C411yescharacteristic
626(C2×D71)⋊C4C22×C411yescharacteristic
627(C2×D71)⋊C4C22×C411yescharacteristic
628(C2×D71)⋊C4C22×C411yescharacteristic
629(C2×D71)⋊C4C22×C411yescharacteristic
630(C2×D71)⋊C4C22×C411yescharacteristic
631(C2×D71)⋊C4C22×C411yescharacteristic
632(C2×D71)⋊C4C22×C411yescharacteristic
633(C2×D71)⋊C4C22×C411yescharacteristic
634(C2×D71)⋊C4C22×C411yescharacteristic
635(C2×D71)⋊C4C22×C411yescharacteristic
636C4×Dic71C22×C411yescharacteristic
637C4×Dic71C22×C411yescharacteristic
638C4×Dic71C22×C411yescharacteristic
639C4×Dic71C22×C411yescharacteristic
640C4×Dic71C22×C411yescharacteristic
641C4×Dic71C22×C411yescharacteristic
642C4×Dic71C22×C411yescharacteristic
643C4×Dic71C22×C411yescharacteristic
644C4×Dic71C22×C411yescharacteristic
645C4×Dic71C22×C411yescharacteristic
646C4×Dic71C2411yescharacteristic
647C4×Dic71C2411yescharacteristic
648C4×Dic71C2411yescharacteristic
649C4×Dic71C2411yescharacteristic
650C24×C71C22×C411yescharacteristic
651#41×C71—41no—
652#41×C71—41no—
653C2×Q8×C71C22×C411yescharacteristic
654C2×D4×C71C22×C411yescharacteristic
655C2×D4×C71C22×C411yescharacteristic
656C2×D4×C71C22×C411yescharacteristic
657C2×D4×C71C22×C411yescharacteristic
658C2×D4×C71C22×C411yescharacteristic
659C2×D4×C71C22×C411yescharacteristic
660C2×D4×C71C22×C411yescharacteristic
661C22×C4×C71—41no—
662C22×C4×C71—41no—
663C22×C4×C71C22×C411yescharacteristic
664C22×C4×C71C22×C411yescharacteristic
665C22×C4×C71C22×C411yescharacteristic
666C22×C4×C71C2411yescharacteristic
667C22×C4×C71C2411yescharacteristic
668C22×C4×C71C2411yescharacteristic
669C22×C4×C71C2411yescharacteristic
670C22×C4×C71C2411yescharacteristic
671M16×C71—22no—
672M16×C71—22no—
673M16×C71—22no—
674M16×C71—41no—
675M16×C71—41no—
676M16×C71—41no—
677C2×C8×C71—22no—
678C2×C8×C71—22no—
679C2×C8×C71—41no—
680C2×C8×C71—41no—
681C2×C8×C71—41no—
682C2×C8×C71—41no—
683C2×C8×C71C2411yescharacteristic
684C2×C8×C71C2411yescharacteristic
685C2×C8×C71C2411yescharacteristic
686C2×C8×C71C2411yescharacteristic
687C2×C8×C71C2411yescharacteristic
688C2×C8×C71C2411yescharacteristic
689C2×C8×C71C2411yescharacteristic
690C2×C8×C71C2411yescharacteristic
691C4⋊C4×C71C22×C411yescharacteristic
692C4⋊C4×C71C22×C411yescharacteristic
693C4⋊C4×C71C22×C411yescharacteristic
694C4⋊C4×C71C22×C411yescharacteristic
695C4⋊C4×C71C22×C411yescharacteristic
696C4⋊C4×C71C22×C411yescharacteristic
697C22⋊C4×C71C22×C411yescharacteristic
698C22⋊C4×C71C22×C411yescharacteristic
699C22⋊C4×C71C22×C411yescharacteristic
700C22⋊C4×C71C22×C411yescharacteristic
701C22⋊C4×C71C22×C411yescharacteristic
702C22⋊C4×C71C22×C411yescharacteristic
703C22⋊C4×C71C22×C411yescharacteristic
704C22⋊C4×C71C22×C411yescharacteristic
705C22⋊C4×C71C22×C411yescharacteristic
706C22⋊C4×C71C22×C411yescharacteristic
707C42×C71C2411yescharacteristic
708C42×C71C2411yescharacteristic
709C23×C71—22no—
710C23×C71—41no—
711C23×C71—41no—
712C23×C71C23×C411yescharacteristic
713C23×C71C23×C411yescharacteristic
714C23×C71C23×C411yescharacteristic
715C23×C71C23×C411yescharacteristic
716C23×C71C23×C411yescharacteristic
717C22×D71—22no—
718C22×D71—22no—
719C22×D71—22no—
720C22×D71—41no—
721C22×D71—41no—
722C22×D71—41no—
723C22×D71—41no—
724C22×D71—41no—
725C22×D71—41no—
726C22×D71C23×C411yescharacteristic
727C22×D71C23×C411yescharacteristic
728C22×D71C23×C411yescharacteristic
729C22×D71C23×C411yescharacteristic
730Q8×C71—41no—
731D4×C71—22no—
732D4×C71—22no—
733D4×C71—41no—
734D4×C71—41no—
735D4×C71—41no—
736D4×C71—41no—
737D4×C71—41no—
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—41no—
749C2×C4×C71—41no—
750C2×C4×C71—41no—
751C2×C4×C71C23×C411yescharacteristic
752C2×C4×C71C23×C411yescharacteristic
753C2×C4×C71C23×C411yescharacteristic
754C2×C4×C71C23×C411yescharacteristic
755C2×C4×C71C23×C411yescharacteristic
756C2×C4×C71C23×C411yescharacteristic
757C2×C4×C71C23×C411yescharacteristic
758C2×C4×C71C23×C411yescharacteristic
759C2×C4×C71C23×C411yescharacteristic
760C2×C4×C71C2511yescharacteristic
761C22⋊D71—22no—
762C22⋊D71—22no—
763C22⋊D71—22no—
764C22⋊D71—22no—
765C22⋊D71—22no—
766C22⋊D71—22no—
767C22⋊D71—22no—
768C22⋊D71—22no—
769C22⋊D71—41no—
770C22⋊D71—41no—
771C22⋊D71—41no—
772C22⋊D71—41no—
773C22⋊D71—41no—
774C22⋊D71#13114yescomplemented
775C2×Dic71—22no—
776C2×Dic71—22no—
777C2×Dic71—22no—
778C2×Dic71—22no—
779C2×Dic71—22no—
780C2×Dic71—41no—
781C2×Dic71—41no—
782C2×Dic71—41no—
783C2×Dic71—41no—
784C2×Dic71C23×C411yescharacteristic
785C2×Dic71C23×C411yescharacteristic
786C2×Dic71C23×C411yescharacteristic
787C2×Dic71C23×C411yescharacteristic
788C2×Dic71C23×C411yescharacteristic
789C2×Dic71C23×C411yescharacteristic
790C2×Dic71C23×C411yescharacteristic
791C2×Dic71C23×C411yescharacteristic
792C2×Dic71C23×C411yescharacteristic
793C2×Dic71C23×C411yescharacteristic
794C2×Dic71C23×C411yescharacteristic
795C2×Dic71C23×C411yescharacteristic
796D284—22no—
797D284—41no—
798D284—41no—
799C4×D71—22no—
800C4×D71—21no—
801C4×D71—21no—
802C4×D71—21no—
803C4×D71—21no—
804C4×D71—21no—
805C4×D71—21no—
806C4×D71—21no—
807C4×D71—21no—
808C4×D71—22no—
809C4×D71—22no—
810C4×D71—41no—
811C4×D71—41no—
812C4×D71—41no—
813C4×D71—41no—
814C4×D71—41no—
815C4×D71—41no—
816C4×D71—41no—
817Dic142—22no—
818Dic142—22no—
819Dic142—41no—
820C8×C71—21no—
821C8×C71—21no—
822C8×C71—21no—
823C8×C71—21no—
824C8×C71—21no—
825C8×C71—21no—
826C8×C71—21no—
827C8×C71H(5,𝔽2)12yes—
828C71⋊C8—21no—
829C71⋊C8—21no—
830C71⋊C8—21no—
831C71⋊C8—21no—
832C71⋊C8—21no—
833C71⋊C8—21no—
834C71⋊C8—21no—
835C71⋊C8—21no—
836C22×C71—21no—
837C22×C71—21no—
838C22×C71—21no—
839C22×C71—21no—
840C22×C71—21no—
841C22×C71—21no—
842C22×C71—21no—
843C22×C71—21no—
844C22×C71—21no—
845C22×C71—21no—
846C22×C71—21no—
847C22×C71—21no—
848C22×C71—21no—
849C22×C71—21no—
850C22×C71—82no—
851C22×C71C2×#13112yes—
852C22×C71C24×C411yescharacteristic
853C2×D71—21no—
854C2×D71—21no—
855C2×D71—21no—
856C2×D71—21no—
857C2×D71—21no—
858C2×D71—21no—
859C2×D71—21no—
860C2×D71—21no—
861C2×D71—21no—
862C2×D71—21no—
863C2×D71—21no—
864C2×D71—82no—
865C2×D71—82no—
866C2×D71—82no—
867C2×D71C2×#13112yes—
868C4×C71—21no—
869C4×C71—21no—
870C4×C71—21no—
871C4×C71—21no—
872C4×C71—21no—
873C4×C71—21no—
874C4×C71—21no—
875C4×C71—21no—
876C4×C71—21no—
877C4×C71C2×H(5,𝔽2)11yescharacteristic
878C4×C71#58511yescharacteristic
879Dic71—21no—
880Dic71—21no—
881Dic71—21no—
882Dic71—21no—
883Dic71—21no—
884Dic71—21no—
885Dic71—21no—
886Dic71—21no—
887Dic71—21no—
888Dic71—21no—
889Dic71C2×#13112yes—
890Dic71#56812yes—
891#60323—711nomaximal, Sylow
892C2×C71—22no—
893C2×C71—41no—
894C2×C71—41no—
895C2×C71—41no—
896C2×C71—41no—
897C2×C71C4×H(5,𝔽2)11yescharacteristic
898C2×C71C22×#13111yescharacteristic
899C2×C71C2×#56811yescharacteristic
900D71—22no—
901D71—41no—
902D71—41no—
903D71—41no—
904#3481—711no—
905#2994—711no—
906#2994—711no—
907#2993—711no—
908#2993—711no—
909#2991—711no—
910#2990—711no—
911#2979—711no—
912#2976—711no—
913#2976—711no—
914#2976—711no—
915#2976—711no—
916#2974—711no—
917#2974—711no—
918#2972—711no—
919#2972—711no—
920#2969—711no—
921#2969—711no—
922#2966—711no—
923#2966—711no—
924#2965—711no—
925C8×#41—711no—
926D4×M16—711no—
927D4×M16—711no—
928#2933—711no—
929#2933—711no—
930#2933—711no—
931#2933D7111yescharacteristic, complemented
932#2931—711no—
933C2×#436—711no—
934C2×#436—711no—
935C71#6032311yescharacteristic, complemented, Sylow
936C2×#131—711no—
937C2×#131C2×D7111yescharacteristic, complemented
938C22×M16—711no—
939C22×M16—711no—
940C22×M16—711no—
941C22×M16C2×D7111yescharacteristic, complemented
942#559—711no—
943#554—711no—
944#554—711no—
945#553—711no—
946#553—711no—
947#553—711no—
948#553—711no—
949#551—711no—
950#551—711no—
951#551—711no—
952#551—711no—
953#546—711no—
954#546—711no—
955#546—711no—
956#546—711no—
957D42—711no—
958#532—711no—
959#529—711no—
960#529—711no—
961#529—711no—
962#529—711no—
963#525—711no—
964#525—711no—
965#525—711no—
966#525C2×D7111yescharacteristic
967C4×#41—711no—
968C4×#41—711no—
969C2×C4×D4—711no—
970C2×C4×D4—711no—
971C2×C4×D4—711no—
972C2×C4×D4—711no—
973#446—711no—
974#446—711no—
975#446—711no—
976#446—711no—
977C8×Q8—711no—
978C8×Q8—711no—
979C8×Q8—711no—
980C8×Q8—711no—
981#436—711no—
982#436—711no—
983#436—711no—
984#436—711no—
985#436—711no—
986#436—711no—
987#436—711no—
988#436—711no—
989#436—711no—
990#436—711no—
991#436—711no—
992#436—711no—
993#436—711no—
994#436—711no—
995#436—711no—
996#436—711no—
997#436—711no—
998#436—711no—
999#436—711no—
1000#436—711no—
1001#436—711no—
1002#436—711no—
1003#436C2×D7111yescharacteristic, complemented
1004#436C2×D7111yescharacteristic, complemented
1005#435—711no—
1006#435—711no—
1007#435—711no—
1008#435—711no—
1009#435—711no—
1010#435—711no—
1011#435—711no—
1012#435—711no—
1013#435—711no—
1014#435—711no—
1015#435—711no—
1016#435—711no—
1017#435—711no—
1018#435—711no—
1019#435—711no—
1020#435—711no—
1021#435—711no—
1022#435—711no—
1023#435—711no—
1024#435—711no—
1025#435C2×D7111yescharacteristic, complemented
1026#435C2×D7111yescharacteristic, complemented
1027#435C2×D7111yescharacteristic, complemented
1028#435C2×D7111yescharacteristic, complemented
1029C8×D4—711no—
1030C8×D4—711no—
1031C8×D4—711no—
1032C8×D4—711no—
1033C8×D4—711no—
1034C8×D4—711no—
1035C8×D4—711no—
1036C8×D4—711no—
1037C8×D4—711no—
1038C8×D4—711no—
1039C8×D4—711no—
1040C8×D4—711no—
1041C8×D4—711no—
1042C8×D4—711no—
1043C8×D4—711no—
1044C8×D4—711no—
1045C8×D4—711no—
1046C8×D4—711no—
1047C8×D4—711no—
1048C8×D4—711no—
1049C8×D4—711no—
1050C8×D4—711no—
1051C8×D4C2×D7111yescharacteristic, complemented
1052C8×D4C2×D7111yescharacteristic, complemented
1053#433—711no—
1054#433—711no—
1055#433—711no—
1056#433—711no—
1057#433—711no—
1058#433—711no—
1059#433—711no—
1060#433—711no—
1061#432—711no—
1062#432—711no—
1063#431—711no—
1064#431—711no—
1065#431—711no—
1066#431—711no—
1067#431—711no—
1068#431—711no—
1069#431—711no—
1070#431—711no—
1071#424—711no—
1072#424—711no—
1073#424—711no—
1074#424C2×D7111yescharacteristic, complemented
1075#423—711no—
1076#423—711no—
1077#423—711no—
1078C2×C4⋊C8—711no—
1079C2×C4⋊C8—711no—
1080#408—711no—
1081#408—711no—
1082#408—711no—
1083#408—711no—
1084#408—711no—
1085#408C2×D7111yescharacteristic, complemented
1086#407—711no—
1087#407—711no—
1088#407—711no—
1089#407—711no—
1090C2×C22⋊C8—711no—
1091C2×C22⋊C8—711no—
1092C2×C22⋊C8—711no—
1093C2×C22⋊C8—711no—
1094C2×C22⋊C8—711no—
1095C2×C22⋊C8—711no—
1096C2×C22⋊C8—711no—
1097C2×C22⋊C8C2×D7111yescharacteristic, complemented
1098#405—711no—
1099#405—711no—
1100#405—711no—
1101#405C2×D7111yescharacteristic, complemented
1102C4×M16—711no—
1103C4×M16—711no—
1104C2×C4×C8—711no—
1105C2×C4×C8—711no—
1106C2×C4×C8—711no—
1107C2×#41—711no—
1108C2×#41—711no—
1109C2×#41—711no—
1110C2×#41C22×D7111yescharacteristic
1111C22×D4—711no—
1112C22×D4—711no—
1113C22×D4—711no—
1114C22×D4—711no—
1115C23×C4—711no—
1116C23×C4—711no—
1117C23×C4—711no—
1118C23×C4C22×D7111yescharacteristic
1119#131—42no—
1120#131—2842no—
1121C2×M16—42no—
1122C2×M16—2842no—
1123C2×M16—2842no—
1124C2×M16—2842no—
1125C2×M16—711no—
1126C2×M16—711no—
1127C2×M16—711no—
1128C2×M16—711no—
1129C2×M16—711no—
1130C2×M16—711no—
1131C2×M16—711no—
1132C2×M16—711no—
1133C2×M16—711no—
1134C2×M16—711no—
1135C2×M16—711no—
1136C2×M16—711no—
1137C2×M16C22×D7111yescharacteristic
1138C2×M16C22×D7111yescharacteristic
1139C2×M16C22×D7111yescharacteristic
1140C2×M16C22×D7111yescharacteristic
1141C2×M16C22×D7111yescharacteristic
1142C2×M16C22×D7111yescharacteristic
1143C22×C8—711no—
1144C22×C8—711no—
1145C22×C8—711no—
1146C22×C8—711no—
1147C22×C8—711no—
1148C22×C8—711no—
1149C22×C8—711no—
1150C22×C8—711no—
1151C22×C8—711no—
1152C22×C8—711no—
1153C22×C8—711no—
1154C22×C8—711no—
1155C22×C8C22×D7111yescharacteristic
1156C22×C8C22×D7111yescharacteristic
1157C22×C8C22×D7111yescharacteristic
1158C22×C8C22×D7111yescharacteristic
1159C22×C8C22×D7111yescharacteristic
1160C22×C8C22×D7111yescharacteristic
1161C4⋊Q8—711no—
1162#127—711no—
1163#126—711no—
1164#126—711no—
1165#126—711no—
1166#126—711no—
1167#126—711no—
1168#126—711no—
1169#126—711no—
1170#126—711no—
1171#125—711no—
1172#125—711no—
1173#125—711no—
1174#125—711no—
1175#124—711no—
1176#124—711no—
1177#124—711no—
1178#124—711no—
1179#124—711no—
1180#124—711no—
1181#123—711no—
1182#123—711no—
1183#123—711no—
1184#123—711no—
1185#123—711no—
1186#123—711no—
1187#123—711no—
1188#123—711no—
1189#123—711no—
1190#123—711no—
1191#123—711no—
1192#123—711no—
1193#123—711no—
1194#123—711no—
1195#123C4×D7111yescharacteristic
1196#123C4×D7111yescharacteristic
1197C22⋊Q8—711no—
1198C22⋊Q8—711no—
1199C22⋊Q8—711no—
1200C22⋊Q8—711no—
1201C22⋊Q8—711no—
1202C22⋊Q8—711no—
1203C22⋊Q8—711no—
1204C22⋊Q8—711no—
1205C22⋊Q8—711no—
1206C22⋊Q8—711no—
1207C22⋊Q8C4×D7111yescharacteristic
1208C22⋊Q8C4×D7111yescharacteristic
1209#121—711no—
1210#121—711no—
1211#121—711no—
1212#121—711no—
1213#121—711no—
1214#121—711no—
1215#121—711no—
1216#121—711no—
1217#121—711no—
1218#121—711no—
1219#121—711no—
1220#121—711no—
1221#121—711no—
1222#121—711no—
1223#121C4×D7111yescharacteristic
1224#121C4×D7111yescharacteristic
1225#120—711no—
1226#120—711no—
1227#120—711no—
1228#120—711no—
1229#120—711no—
1230#120—711no—
1231#120C4×D7111yescharacteristic
1232#120C4×D7111yescharacteristic
1233C4×Q8—711no—
1234C4×Q8—711no—
1235C4×Q8—711no—
1236C4×Q8—711no—
1237C4×D4—711no—
1238C4×D4—711no—
1239C4×D4—711no—
1240C4×D4—711no—
1241C4×D4—711no—
1242C4×D4—711no—
1243C4×D4—711no—
1244C4×D4—711no—
1245C4×D4—711no—
1246C4×D4—711no—
1247C4×D4—711no—
1248C4×D4—711no—
1249C4×D4—711no—
1250C4×D4—711no—
1251C4×D4—711no—
1252C4×D4—711no—
1253C4×D4—711no—
1254C4×D4—711no—
1255C4×D4—711no—
1256C4×D4—711no—
1257C4×D4—711no—
1258C4×D4—711no—
1259C4×D4—711no—
1260C4×D4—711no—
1261C4×D4—711no—
1262C4×D4—711no—
1263C4×D4—711no—
1264C4×D4—711no—
1265C4×D4—711no—
1266C4×D4—711no—
1267C4×D4—711no—
1268C4×D4—711no—
1269C4×D4—711no—
1270C4×D4—711no—
1271C4×D4—711no—
1272C4×D4—711no—
1273C4×D4C22×D7111yescharacteristic
1274C4×D4C22×D7111yescharacteristic
1275C4×D4C22×D7111yescharacteristic
1276C4×D4C22×D7111yescharacteristic
1277#117—711no—
1278#117—711no—
1279#117—711no—
1280#117—711no—
1281#117—711no—
1282#117—711no—
1283#117—711no—
1284#117—711no—
1285#117—711no—
1286#117C22×D7111yescharacteristic
1287C2×C4⋊C4—711no—
1288C2×C4⋊C4—711no—
1289C2×C4⋊C4—711no—
1290C2×C4⋊C4—711no—
1291C2×C22⋊C4—711no—
1292C2×C22⋊C4—711no—
1293C2×C22⋊C4—711no—
1294C2×C22⋊C4—711no—
1295C2×C22⋊C4—711no—
1296C2×C22⋊C4—711no—
1297C2×C22⋊C4—711no—
1298C2×C22⋊C4—711no—
1299C2×C42—711no—
1300C2×C42—711no—
1301C2×C42—711no—
1302C2×C42—711no—
1303C2×C42—711no—
1304C4⋊C8—711no—
1305C4⋊C8—711no—
1306C4⋊C8—711no—
1307C4⋊C8—711no—
1308C4⋊C8—711no—
1309C4⋊C8—711no—
1310C4⋊C8—711no—
1311C4⋊C8—711no—
1312C4⋊C8—711no—
1313C4⋊C8—711no—
1314C4⋊C8—711no—
1315C4⋊C8—711no—
1316C4⋊C8—711no—
1317C4⋊C8—711no—
1318C4⋊C8—711no—
1319C4⋊C8—711no—
1320C4⋊C8—711no—
1321C4⋊C8—711no—
1322C4⋊C8—711no—
1323C4⋊C8—711no—
1324C4⋊C8C22×D7111yescharacteristic
1325C4⋊C8C22×D7111yescharacteristic
1326C4⋊C8C22×D7111yescharacteristic
1327C4⋊C8C22×D7111yescharacteristic
1328C22⋊C8—711no—
1329C22⋊C8—711no—
1330C22⋊C8—711no—
1331C22⋊C8—711no—
1332C22⋊C8—711no—
1333C22⋊C8—711no—
1334C22⋊C8—711no—
1335C22⋊C8—711no—
1336C22⋊C8—711no—
1337C22⋊C8—711no—
1338C22⋊C8—711no—
1339C22⋊C8—711no—
1340C22⋊C8—711no—
1341C22⋊C8—711no—
1342C22⋊C8—711no—
1343C22⋊C8—711no—
1344C22⋊C8—711no—
1345C22⋊C8—711no—
1346C22⋊C8—711no—
1347C22⋊C8—711no—
1348C22⋊C8—711no—
1349C22⋊C8—711no—
1350C22⋊C8—711no—
1351C22⋊C8—711no—
1352C22⋊C8—711no—
1353C22⋊C8—711no—
1354C22⋊C8—711no—
1355C22⋊C8—711no—
1356C22⋊C8C22×D7111yescharacteristic
1357C22⋊C8C22×D7111yescharacteristic
1358C22⋊C8C22×D7111yescharacteristic
1359C22⋊C8C22×D7111yescharacteristic
1360C22⋊C8C22×D7111yescharacteristic
1361C22⋊C8C22×D7111yescharacteristic
1362C22⋊C8C22×D7111yescharacteristic
1363C22⋊C8C22×D7111yescharacteristic
1364#97—711no—
1365#97—711no—
1366#97—711no—
1367#97—711no—
1368#97—711no—
1369#97—711no—
1370#97C22×D7111yescharacteristic
1371#97C22×D7111yescharacteristic
1372C4×C8—711no—
1373C4×C8—711no—
1374C4×C8—711no—
1375C4×C8—711no—
1376C4×C8—711no—
1377C4×C8—711no—
1378C4×C8—711no—
1379C4×C8—711no—
1380C4×C8—711no—
1381C4×C8—711no—
1382C4×C8—711no—
1383C4×C8—711no—
1384C4×C8—711no—
1385C4×C8—711no—
1386C4×C8C22×D7111yescharacteristic
1387C4×C8C22×D7111yescharacteristic
1388C24—711no—
1389C24—711no—
1390C24—711no—
1391C24C2×C4×D7111yescharacteristic
1392#41—41no—
1393#41—41no—
1394#41—2841no—
1395#41—2841no—
1396#41—2842no—
1397#41—1424no—
1398C2×Q8—711no—
1399C2×Q8—711no—
1400C2×Q8—711no—
1401C2×Q8C2×C4×D7111yescharacteristic
1402C2×D4—2842no—
1403C2×D4—2842no—
1404C2×D4—711no—
1405C2×D4—711no—
1406C2×D4—711no—
1407C2×D4—711no—
1408C2×D4—711no—
1409C2×D4—711no—
1410C2×D4—711no—
1411C2×D4—711no—
1412C2×D4—711no—
1413C2×D4—711no—
1414C2×D4—711no—
1415C2×D4—711no—
1416C2×D4—711no—
1417C2×D4—711no—
1418C2×D4—711no—
1419C2×D4—711no—
1420C2×D4—711no—
1421C2×D4—1424no—
1422C2×D4—1424no—
1423C2×D4C2×C4×D7111yescharacteristic
1424C2×D4C2×C4×D7111yescharacteristic
1425C2×D4C2×C4×D7111yescharacteristic
1426C2×D4C2×C4×D7111yescharacteristic
1427C2×D4C2×C4×D7111yescharacteristic
1428C2×D4C2×C4×D7111yescharacteristic
1429C2×D4C2×C4×D7111yescharacteristic
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—2841no—
1433C22×C4—2841no—
1434C22×C4—2841no—
1435C22×C4—2841no—
1436C22×C4—2841no—
1437C22×C4—2841no—
1438C22×C4—711no—
1439C22×C4—711no—
1440C22×C4—711no—
1441C22×C4—711no—
1442C22×C4—711no—
1443C22×C4—711no—
1444C22×C4—711no—
1445C22×C4—711no—
1446C22×C4—711no—
1447C22×C4—711no—
1448C22×C4—711no—
1449C22×C4—711no—
1450C22×C4—711no—
1451C22×C4—711no—
1452C22×C4—711no—
1453C22×C4—711no—
1454C22×C4—711no—
1455C22×C4—711no—
1456C22×C4—711no—
1457C22×C4—711no—
1458C22×C4—711no—
1459C22×C4—711no—
1460C22×C4—711no—
1461C22×C4C2×C4×D7111yescharacteristic
1462C22×C4C2×C4×D7111yescharacteristic
1463C22×C4C2×C4×D7111yescharacteristic
1464C22×C4C23×D7111yescharacteristic
1465C22×C4C23×D7111yescharacteristic
1466C22×C4C23×D7111yescharacteristic
1467C22×C4C23×D7111yescharacteristic
1468C22×C4C23×D7111yescharacteristic
1469M16—22no—
1470M16—22no—
1471M16—22no—
1472M16—41no—
1473M16—41no—
1474M16—41no—
1475M16—2841no—
1476M16—2841no—
1477M16—2841no—
1478M16—2841no—
1479M16—2841no—
1480M16—2841no—
1481M16—2841no—
1482M16—2841no—
1483M16—2841no—
1484M16—1422no—
1485M16—1422no—
1486M16—1422no—
1487C2×C8—22no—
1488C2×C8—22no—
1489C2×C8—41no—
1490C2×C8—41no—
1491C2×C8—41no—
1492C2×C8—41no—
1493C2×C8—2841no—
1494C2×C8—2841no—
1495C2×C8—2841no—
1496C2×C8—2841no—
1497C2×C8—2841no—
1498C2×C8—2841no—
1499C2×C8—2841no—
1500C2×C8—2841no—
1501C2×C8—2841no—
1502C2×C8—2841no—
1503C2×C8—2841no—
1504C2×C8—711no—
1505C2×C8—711no—
1506C2×C8—711no—
1507C2×C8—711no—
1508C2×C8—711no—
1509C2×C8—711no—
1510C2×C8—711no—
1511C2×C8—711no—
1512C2×C8—1422no—
1513C2×C8C23×D7111yescharacteristic
1514C2×C8C23×D7111yescharacteristic
1515C2×C8C23×D7111yescharacteristic
1516C2×C8C23×D7111yescharacteristic
1517C2×C8C23×D7111yescharacteristic
1518C2×C8C23×D7111yescharacteristic
1519C2×C8C23×D7111yescharacteristic
1520C2×C8C23×D7111yescharacteristic
1521C4⋊C4—711no—
1522C4⋊C4—711no—
1523C4⋊C4—711no—
1524C4⋊C4—711no—
1525C4⋊C4—711no—
1526C4⋊C4—711no—
1527C4⋊C4—711no—
1528C4⋊C4—711no—
1529C4⋊C4—711no—
1530C4⋊C4—711no—
1531C4⋊C4—711no—
1532C4⋊C4—711no—
1533C4⋊C4—711no—
1534C4⋊C4—711no—
1535C4⋊C4—711no—
1536C4⋊C4—711no—
1537C4⋊C4—711no—
1538C4⋊C4—711no—
1539C4⋊C4—711no—
1540C4⋊C4—711no—
1541C4⋊C4—711no—
1542C4⋊C4—711no—
1543C4⋊C4—711no—
1544C4⋊C4—711no—
1545C4⋊C4—711no—
1546C4⋊C4—711no—
1547C4⋊C4C2×C4×D7111yescharacteristic
1548C4⋊C4C2×C4×D7111yescharacteristic
1549C4⋊C4C2×C4×D7111yescharacteristic
1550C4⋊C4C2×C4×D7111yescharacteristic
1551C4⋊C4C2×C4×D7111yescharacteristic
1552C4⋊C4C2×C4×D7111yescharacteristic
1553C22⋊C4—711no—
1554C22⋊C4—711no—
1555C22⋊C4—711no—
1556C22⋊C4—711no—
1557C22⋊C4—711no—
1558C22⋊C4—711no—
1559C22⋊C4—711no—
1560C22⋊C4—711no—
1561C22⋊C4—711no—
1562C22⋊C4—711no—
1563C22⋊C4—711no—
1564C22⋊C4—711no—
1565C22⋊C4—711no—
1566C22⋊C4—711no—
1567C22⋊C4—711no—
1568C22⋊C4—711no—
1569C22⋊C4—711no—
1570C22⋊C4—711no—
1571C22⋊C4—711no—
1572C22⋊C4—711no—
1573C22⋊C4—711no—
1574C22⋊C4—711no—
1575C22⋊C4—711no—
1576C22⋊C4—711no—
1577C22⋊C4—711no—
1578C22⋊C4—711no—
1579C22⋊C4—711no—
1580C22⋊C4—711no—
1581C22⋊C4—711no—
1582C22⋊C4—711no—
1583C22⋊C4—711no—
1584C22⋊C4—711no—
1585C22⋊C4—711no—
1586C22⋊C4—711no—
1587C22⋊C4C2×C4×D7111yescharacteristic
1588C22⋊C4C2×C4×D7111yescharacteristic
1589C22⋊C4C2×C4×D7111yescharacteristic
1590C22⋊C4C2×C4×D7111yescharacteristic
1591C22⋊C4C2×C4×D7111yescharacteristic
1592C22⋊C4C2×C4×D7111yescharacteristic
1593C22⋊C4C2×C4×D7111yescharacteristic
1594C22⋊C4C2×C4×D7111yescharacteristic
1595C22⋊C4C2×C4×D7111yescharacteristic
1596C22⋊C4C2×C4×D7111yescharacteristic
1597C42—711no—
1598C42—711no—
1599C42—711no—
1600C42—711no—
1601C42—711no—
1602C42—711no—
1603C42—711no—
1604C42—711no—
1605C42—711no—
1606C42—711no—
1607C42—711no—
1608C42—711no—
1609C42—711no—
1610C42—711no—
1611C42C23×D7111yescharacteristic
1612C42C23×D7111yescharacteristic
1613C23—22no—
1614C23—41no—
1615C23—41no—
1616C23—2841no—
1617C23—2841no—
1618C23—2841no—
1619C23—2841no—
1620C23—2841no—
1621C23—2841no—
1622C23—711no—
1623C23—711no—
1624C23—711no—
1625C23—711no—
1626C23—1422no—
1627C23—1422no—
1628C23—1422no—
1629C23C22×C4×D7111yescharacteristic
1630C23C22×C4×D7111yescharacteristic
1631C23C22×C4×D7111yescharacteristic
1632C23C22×C4×D7111yescharacteristic
1633C23C22×C4×D7111yescharacteristic
1634Q8—41no—
1635Q8—2841no—
1636Q8—1422no—
1637Q8—1422no—
1638D4—22no—
1639D4—22no—
1640D4—41no—
1641D4—41no—
1642D4—41no—
1643D4—41no—
1644D4—41no—
1645D4—2841no—
1646D4—2841no—
1647D4—2841no—
1648D4—2841no—
1649D4—2841no—
1650D4—2841no—
1651D4—2841no—
1652D4—714no—
1653D4—1422no—
1654D4—1422no—
1655D4—1422no—
1656D4—1422no—
1657D4—1422no—
1658D4—1422no—
1659D4—1422no—
1660D4—1422no—
1661D4—1422no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—2841no—
1676C2×C4—2841no—
1677C2×C4—2841no—
1678C2×C4—2841no—
1679C2×C4—2841no—
1680C2×C4—2841no—
1681C2×C4—2841no—
1682C2×C4—2841no—
1683C2×C4—2841no—
1684C2×C4—2841no—
1685C2×C4—2841no—
1686C2×C4—711no—
1687C2×C4—711no—
1688C2×C4—711no—
1689C2×C4—711no—
1690C2×C4—711no—
1691C2×C4—711no—
1692C2×C4—711no—
1693C2×C4—711no—
1694C2×C4—711no—
1695C2×C4—711no—
1696C2×C4—711no—
1697C2×C4—711no—
1698C2×C4—1422no—
1699C2×C4—1422no—
1700C2×C4—1422no—
1701C2×C4—1422no—
1702C2×C4—1422no—
1703C2×C4—1422no—
1704C2×C4—1422no—
1705C2×C4—1422no—
1706C2×C4—1421no—
1707C2×C4—1421no—
1708C2×C4—1421no—
1709C2×C4—1421no—
1710C2×C4—1421no—
1711C2×C4—1421no—
1712C2×C4—1421no—
1713C2×C4—1421no—
1714C2×C4C22×C4×D7111yescharacteristic
1715C2×C4C22×C4×D7111yescharacteristic
1716C2×C4C22×C4×D7111yescharacteristic
1717C2×C4C22×C4×D7111yescharacteristic
1718C2×C4C22×C4×D7111yescharacteristic
1719C2×C4C22×C4×D7111yescharacteristic
1720C2×C4C22×C4×D7111yescharacteristic
1721C2×C4C22×C4×D7111yescharacteristic
1722C2×C4C22×C4×D7111yescharacteristic
1723C2×C4C24×D7111yescharacteristic
1724C8—21no—
1725C8—21no—
1726C8—21no—
1727C8—21no—
1728C8—21no—
1729C8—21no—
1730C8—21no—
1731C8—1421no—
1732C8—1421no—
1733C8—1421no—
1734C8—1421no—
1735C8—1421no—
1736C8—1421no—
1737C8—1421no—
1738C8—1421no—
1739C8#1455617312yes—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—21no—
1744C22—21no—
1745C22—21no—
1746C22—21no—
1747C22—21no—
1748C22—21no—
1749C22—21no—
1750C22—21no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—82no—
1755C22—5682no—
1756C22—5682no—
1757C22—5682no—
1758C22—712no—
1759C22—1421no—
1760C22—1421no—
1761C22—1421no—
1762C22—1421no—
1763C22—1421no—
1764C22—1421no—
1765C22—1421no—
1766C22—1421no—
1767C22—1421no—
1768C22—1421no—
1769C22—1421no—
1770C22#131×D7112yes—
1771C22C23×C4×D7111yescharacteristic
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—21no—
1777C4—21no—
1778C4—21no—
1779C4—21no—
1780C4—21no—
1781C4—712no—
1782C4—712no—
1783C4—1421no—
1784C4—1421no—
1785C4—1421no—
1786C4—1421no—
1787C4—1421no—
1788C4—1421no—
1789C4—1421no—
1790C4—1421no—
1791C4—1421no—
1792C4—1421no—
1793C4C2×#1455617311yescharacteristic
1794C4#1798683511yescharacteristic
1795C2—22no—
1796C2—41no—
1797C2—41no—
1798C2—41no—
1799C2—41no—
1800C2—2841no—
1801C2—2841no—
1802C2—2841no—
1803C2—1422no—
1804C2C4×#1455617311yescharacteristic
1805C2C2×#131×D7111yescharacteristic
1806C2#568×D7111yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D71
commutator, socleC22×C71C24×C4
FittingC71×#2933C2
prime radical#22601942C2
cosocleC2×C4×C71C25
hypercenter#2933D71
hypocenterC71#60323
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C2×C4 ◁ #2933

Complements

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

NH ≅ G/Ntype
2. #22597498C2semidirect
3. #22597497C2semidirect
4. #22597487C2semidirect
5. #22597482C2semidirect
6. #22597468C2semidirect
7. #22597460C2semidirect
8. #22597404C2semidirect
9. #22597389C2semidirect
10. #22597388C2semidirect
11. #22597384C2semidirect
12. #22597383C2semidirect
13. #22597371C2semidirect
14. #22597370C2semidirect
15. #22597362C2semidirect
16. #22597361C2semidirect
17. #22597340C2semidirect
18. #22597339C2semidirect
19. #22597311C2semidirect
20. #22597310C2semidirect
21. #22597300C2semidirect
22. C8×#11765864C2semidirect
23. M16×C22⋊D71C2semidirect
24. #22597073C2semidirect
25. #22597063C2semidirect
26. #22597062C2semidirect
27. #22597060C2semidirect
28. #22597050C2semidirect
29. C2×#17986075C2semidirect
30. #436×D71C2semidirect
31. C71×#2933C2semidirect
32. C2×#14556134C22semidirect
33. C22×#11765848C22semidirect
34. C2×M16×D71C22semidirect
35. C2×M16×D71C22semidirect
66. #17986128C22semidirect
67. #17986128C22semidirect
68. #17986127C22semidirect
69. #17986127C22semidirect
70. C8×Dic142C22semidirect
71. C8×Dic142C22semidirect
72. #17986123C22semidirect
73. #17986123C22semidirect
74. #17986078C22semidirect
75. #17986077C22semidirect
76. #17986077C22semidirect
77. #17986076C22semidirect
80. #17986075C22semidirect
81. #17986075C22semidirect
82. #17986075C22semidirect
83. #17986075C22semidirect
84. #17986075C22semidirect
85. #17986075C22semidirect
86. #17986075C22semidirect
87. #17986075C22semidirect
88. #17986075C22semidirect
89. #17986075C22semidirect
90. #17986075C22semidirect
93. #17986074C22semidirect
94. #17986074C22semidirect
95. #17986074C22semidirect
96. #17986073C22semidirect
97. #17986073C22semidirect
98. #17986073C22semidirect
99. #17986072C22semidirect
100. #17986072C22semidirect
101. #17986071C22semidirect
102. #17986071C22semidirect
103. #17986071C22semidirect
104. #17986071C22semidirect
105. #17986070C22semidirect
106. #17986070C22semidirect
107. #17986070C22semidirect
108. #17986070C22semidirect
109. #17986070C22semidirect
110. #17986069C22semidirect
111. #17986069C22semidirect
112. #17986068C22semidirect
113. #17986068C22semidirect
114. #17986068C22semidirect
115. #17986067C22semidirect
116. C8×D284C22semidirect
117. D4×C71⋊C8C22semidirect
118. D4×C71⋊C8C22semidirect
119. #17986064C22semidirect
122. C8×C22⋊D71C22semidirect
123. C8×C22⋊D71C22semidirect
124. C8×C22⋊D71C22semidirect
125. C8×C22⋊D71C22semidirect
126. C8×C22⋊D71C22semidirect
127. C8×C22⋊D71C22semidirect
128. C8×C22⋊D71C22semidirect
129. C8×C22⋊D71C22semidirect
130. C8×C22⋊D71C22semidirect
133. (C22⋊D71)⋊C8C22semidirect
134. (C22⋊D71)⋊C8C22semidirect
135. (C22⋊D71)⋊C8C22semidirect
136. (C22⋊D71)⋊C8C22semidirect
137. (C22⋊D71)⋊C8C22semidirect
138. #17986061C22semidirect
139. #17986060C22semidirect
140. #17986060C22semidirect
141. #17986059C22semidirect
142. #17986059C22semidirect
143. #17986058C22semidirect
144. #17986057C22semidirect
145. #17986057C22semidirect
146. #17986054C22semidirect
147. #17986053C22semidirect
148. #17986051C22semidirect
149. #17986051C22semidirect
150. #17986050C22semidirect
151. #17986049C22semidirect
152. #17986049C22semidirect
153. #17986049C22semidirect
154. #17986049C22semidirect
155. #17986049C22semidirect
156. #17986025C22semidirect
157. #17986024C22semidirect
158. #17986024C22semidirect
159. #17986022C22semidirect
160. #17986022C22semidirect
161. #17986021C22semidirect
162. C2×Dic71⋊C8C22semidirect
163. C4⋊C8×D71C22semidirect
164. #17985967C22semidirect
165. #17985966C22semidirect
166. #17985966C22semidirect
167. #17985964C22semidirect
168. #17985964C22semidirect
169. #17985963C22semidirect
170. #17985962C22semidirect
171. #17985961C22semidirect
172. #17985961C22semidirect
173. C2×C22⋊(C71⋊C8)C22semidirect
174. C2×(C2×D71)⋊C8C22semidirect
175. C2×(C2×D71)⋊C8C22semidirect
176. C22⋊C8×D71C22semidirect
177. C22⋊C8×D71C22semidirect
178. C22⋊C8×D71C22semidirect
179. C22⋊C8×D71C22semidirect
180. #17985957C22semidirect
181. #17985956C22semidirect
182. #17985953C22semidirect
183. #17985951C22semidirect
184. M16×Dic71C22semidirect
185. C2×C8×Dic71C22semidirect
186. C2×C8×Dic71C22semidirect
187. C4×C8×D71C22semidirect
188. C2×#131×C71C22semidirect
189. C22×M16×C71C22semidirect
191. #436×C71C22semidirect
192. #436×C71C22semidirect
193. #435×C71C22semidirect
194. #435×C71C22semidirect
195. #435×C71C22semidirect
196. #435×C71C22semidirect
197. C8×D4×C71C22semidirect
198. C8×D4×C71C22semidirect
199. #424×C71C22semidirect
200. #408×C71C22semidirect
201. C2×C22⋊C8×C71C22semidirect
202. #405×C71C22semidirect
774. C22⋊D71#131semidirect
931. #2933D71semidirect
935. C71#60323semidirect
937. C2×#131C2×D71semidirect
941. C22×M16C2×D71semidirect
1003. #436C2×D71semidirect
1004. #436C2×D71semidirect
1025. #435C2×D71semidirect
1026. #435C2×D71semidirect
1027. #435C2×D71semidirect
1028. #435C2×D71semidirect
1051. C8×D4C2×D71semidirect
1052. C8×D4C2×D71semidirect
1074. #424C2×D71semidirect
1085. #408C2×D71semidirect
1097. C2×C22⋊C8C2×D71semidirect
1101. #405C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226019422
#225974982
#225974972
#225974872
#225974822
#225974682
#225974602
#225974042
#225973892
#225973882
#225973842
#225973832
#225973712
#225973702
#225973622
#225973612
#225973402
#225973392
#225973112
#225973102
#225973002
C8×#117658642
M16×C22⋊D712
#225970732
#225970632
#225970622
#225970602
#225970502
C2×#179860752
#436×D712
C71×#29332
#6032371