Finite Group Databasebeta

← #26423824

Subgroups — #26423824

Order 12032.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689738C211yesmaximal, characteristic, complemented
2#20251717C211yesmaximal, characteristic, complemented
3#20251687C211yesmaximal, characteristic, complemented
4#20250303C211yesmaximal, characteristic, complemented
5#20250210C211yesmaximal, characteristic, complemented
6#20250193C211yesmaximal, characteristic, complemented
7#20250154C211yesmaximal, characteristic, complemented
8#20249982C211yesmaximal, characteristic, complemented
9#20249958C211yesmaximal, characteristic, complemented
10#20249934C211yesmaximal, characteristic, complemented
11#20249865C211yesmaximal, characteristic, complemented
12#20249820C211yesmaximal, characteristic, complemented
13#20249790C211yesmaximal, characteristic, complemented
14#20249775C211yesmaximal, characteristic, complemented
15#20249766C211yesmaximal, characteristic, complemented
16#20249689C211yesmaximal, characteristic, complemented
17#20249669C211yesmaximal, characteristic, complemented
18#20249610C211yesmaximal, characteristic, complemented
19#20249592C211yesmaximal, characteristic, complemented
20#20249538C211yesmaximal, characteristic, complemented
21#20249517C211yesmaximal, characteristic, complemented
22#20249077C211yesmaximal, characteristic, complemented
23#20249028C211yesmaximal, characteristic, complemented
24#20249000C211yesmaximal, characteristic, complemented
25#20248987C211yesmaximal, characteristic, complemented
26#20248877C211yesmaximal, characteristic, complemented
27#20248546C211yesmaximal, characteristic, complemented
28#20246817C211yesmaximal, characteristic, complemented
29#20246773C211yesmaximal, characteristic, complemented
30#20245833C211yesmaximal, characteristic, complemented
31C2×C47×#538C211yesmaximal, characteristic, complemented
32#15689738—28no—
33C2×#13094023C2211yescharacteristic, complemented
34C2×#13094017C2211yescharacteristic
35C2×#13094017C2211yescharacteristic, complemented
36C2×#13094011C2211yescharacteristic
37C2×#13094011C2211yescharacteristic
38C2×#13094010C2211yescharacteristic
39C2×#13094010C2211yescharacteristic, complemented
40C2×#13094007C2211yescharacteristic
41C2×#13094007C2211yescharacteristic, complemented
42C2×#13094004C2211yescharacteristic, complemented
43C2×#13094003C2211yescharacteristic
44C2×#13094003C2211yescharacteristic, complemented
45C2×#13094003C2211yescharacteristic, complemented
46C2×#13093996C2211yescharacteristic
47C2×#13093995C2211yescharacteristic
48C2×#13093993C2211yescharacteristic
49C2×C4×Dic94C2211yescharacteristic, complemented
50C2×#13093983C2211yescharacteristic
51C2×#13093981C2211yescharacteristic, complemented
52C22×C4×Dic47C2211yescharacteristic, complemented
53#15689062C2211yescharacteristic, complemented
54#15689062C2211yescharacteristic, complemented
55#15689059C2211yescharacteristic
56#15689059C2211yescharacteristic
57#15689056C2211yescharacteristic, complemented
58#15689054C2211yescharacteristic, complemented
59#15689051C2211yescharacteristic
60#15689051C2211yescharacteristic
61#15689051C2211yescharacteristic
62#15689051C2211yescharacteristic, complemented
63#15689051C2211yescharacteristic, complemented
64#15689049C2211yescharacteristic, complemented
65#15689048C2211yescharacteristic
66#15689048C2211yescharacteristic
67#15689048C2211yescharacteristic
68#15689048C2211yescharacteristic, complemented
69#15689046C2211yescharacteristic
70#15689046C2211yescharacteristic
71#15689046C2211yescharacteristic
72#15689045C2211yescharacteristic, complemented
73#15689043C2211yescharacteristic, complemented
74#15689043C2211yescharacteristic, complemented
75#15689042C2211yescharacteristic, complemented
76#15689039C2211yescharacteristic
77#15689039C2211yescharacteristic
78#15689039C2211yescharacteristic
79#15689038C2211yescharacteristic
80#15689037C2211yescharacteristic
81#15689037C2211yescharacteristic
82#15689037C2211yescharacteristic
83#15689037C2211yescharacteristic
84#15689037C2211yescharacteristic
85#15689037C2211yescharacteristic
86#15689037C2211yescharacteristic
87#15689037C2211yescharacteristic
88#15689037C2211yescharacteristic, complemented
89#15689035C2211yescharacteristic
90#15689035C2211yescharacteristic
91#15689035C2211yescharacteristic
92#15689035C2211yescharacteristic
93#15689035C2211yescharacteristic
94#15689035C2211yescharacteristic, complemented
95#15689034C2211yescharacteristic, complemented
96#15689031C2211yescharacteristic
97#15689031C2211yescharacteristic
98#15689031C2211yescharacteristic
99#15689031C2211yescharacteristic
100#15689031C2211yescharacteristic, complemented
101#15689030C2211yescharacteristic, complemented
102#15689030C2211yescharacteristic, complemented
103#15689029C2211yescharacteristic, complemented
104#15689028C2211yescharacteristic, complemented
105#15689026C2211yescharacteristic
106#15689026C2211yescharacteristic
107#15689026C2211yescharacteristic
108#15689023C2211yescharacteristic
109#15689023C2211yescharacteristic
110#15689023C2211yescharacteristic
111#15689023C2211yescharacteristic, complemented
112#15689021C2211yescharacteristic, complemented
113#15689018C2211yescharacteristic, complemented
114#15689018C2211yescharacteristic, complemented
115#15689018C2211yescharacteristic, complemented
116#15689018C2211yescharacteristic, complemented
117#15689017C2211yescharacteristic
118#15689017C2211yescharacteristic
119#15689017C2211yescharacteristic
120#15689017C2211yescharacteristic
121#15689017C2211yescharacteristic
122#15689017C2211yescharacteristic
123#15689017C2211yescharacteristic
124#15689017C2211yescharacteristic, complemented
125#15689017C2211yescharacteristic, complemented
126#15689017C2211yescharacteristic, complemented
127#15689016C2211yescharacteristic
128#15689016C2211yescharacteristic
129#15689014C2211yescharacteristic, complemented
130#15689013C2211yescharacteristic, complemented
131#15689013C2211yescharacteristic, complemented
132#15689011C2211yescharacteristic
133#15689011C2211yescharacteristic
134#15689011C2211yescharacteristic
135#15689011C2211yescharacteristic
136#15689011C2211yescharacteristic, complemented
137#15689009C2211yescharacteristic, complemented
138#15689009C2211yescharacteristic, complemented
139#15689007C2211yescharacteristic, complemented
140#15689004C2211yescharacteristic, complemented
141#15689004C2211yescharacteristic, complemented
142#15689004C2211yescharacteristic, complemented
143#15689003C2211yescharacteristic
144#15689003C2211yescharacteristic
145#15689003C2211yescharacteristic
146#15689003C2211yescharacteristic
147#15689003C2211yescharacteristic
148#15689003C2211yescharacteristic, complemented
149#15689003C2211yescharacteristic, complemented
150#15689002C2211yescharacteristic
151#15689002C2211yescharacteristic, complemented
152#15689000C2211yescharacteristic, complemented
153#15688999C2211yescharacteristic
154#15688999C2211yescharacteristic
155#15688999C2211yescharacteristic, complemented
156#15688998C2211yescharacteristic, complemented
157#15688998C2211yescharacteristic, complemented
158#15688996C2211yescharacteristic
159#15688996C2211yescharacteristic, complemented
160#15688994C2211yescharacteristic, complemented
161#15688988C2211yescharacteristic, complemented
162#15688986C2211yescharacteristic
163#15688986C2211yescharacteristic
164#15688983C2211yescharacteristic, complemented
165#15688981C2211yescharacteristic, complemented
166#15688979C2211yescharacteristic
167#15688979C2211yescharacteristic
168#15688979C2211yescharacteristic
169C4×C4⋊Dic47C2211yescharacteristic, complemented
170C4×C22⋊Dic47C2211yescharacteristic
171C4×C22⋊Dic47C2211yescharacteristic, complemented
172#15688969C2211yescharacteristic, complemented
173C47×#538—28no—
174C2×#126×C47C2211yescharacteristic
175C2×#126×C47C2211yescharacteristic
176C2×#124×C47C2211yescharacteristic
177C2×#124×C47C2211yescharacteristic
178C2×#123×C47C2211yescharacteristic
179C2×#123×C47C2211yescharacteristic
180C2×C22⋊Q8×C47C2211yescharacteristic
181C2×#121×C47C2211yescharacteristic
182C2×#121×C47C2211yescharacteristic
183C2×#121×C47C2211yescharacteristic
184C2×#120×C47C2211yescharacteristic
185C2×#120×C47C2211yescharacteristic
186C2×C4×D4×C47C2211yescharacteristic
187C2×C4×D4×C47C2211yescharacteristic
188C22×C22⋊C4×C47C2211yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200#13094023—24no—
201#13094017—24no—
202#13094017—24no—
203#13094011—24no—
204#13094011—42no—
205#13094010—24no—
206#13094010—24no—
207#13094007—24no—
208#13094007—24no—
209#13094004—24no—
210#13094003—24no—
211#13094003—24no—
212#13094003—42no—
213#13093996—42no—
214#13093995—24no—
215#13093993—42no—
216C4×Dic94—24no—
217#13093983—42no—
218#13093981—24no—
219C2×C4⋊Dic47C2311yescharacteristic
220C2×C4⋊Dic47C2311yescharacteristic
221C2×C4⋊Dic47C2311yescharacteristic
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×Dic47⋊C4C2311yescharacteristic
227C2×Dic47⋊C4C2311yescharacteristic
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×Dic47⋊C4C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×C22⋊Dic47C2311yescharacteristic
242C2×C22⋊Dic47C2311yescharacteristic
243C2×C22⋊Dic47C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×C4×Dic47—42no—
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C47⋊#95C2311yescharacteristic
294C47⋊#95C2311yescharacteristic
295C47⋊#95C2311yescharacteristic
296C47⋊#95C2311yescharacteristic
297C47⋊#95C2311yescharacteristic
298C47⋊#95C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C25×C47C2311yescharacteristic
330C22×Q8×C47C2311yescharacteristic
331C22×D4×C47C2311yescharacteristic
332C22×D4×C47C2311yescharacteristic
333C22×D4×C47C2311yescharacteristic
334C22×D4×C47C2311yescharacteristic
335C22×D4×C47C2311yescharacteristic
336C22×D4×C47C2311yescharacteristic
337C22×D4×C47C2311yescharacteristic
338C23×C4×C47C2311yescharacteristic
339C23×C4×C47C2311yescharacteristic
340C23×C4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342#126×C47—24no—
343#126×C47—24no—
344#124×C47—24no—
345#124×C47—24no—
346#123×C47—24no—
347#123×C47—24no—
348C22⋊Q8×C47—24no—
349#121×C47—24no—
350#121×C47—24no—
351#121×C47—24no—
352#120×C47—24no—
353#120×C47—24no—
354C4×D4×C47—24no—
355C4×D4×C47D418yescomplemented
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C4⋊C4×C47C2311yescharacteristic
360C2×C4⋊C4×C47C2311yescharacteristic
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47—24no—
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C42×C47C2311yescharacteristic
378C2×C42×C47C2311yescharacteristic
379C24×C47—22no—
380C24×C47—41no—
381C24×C47—41no—
382C24×C47—41no—
383C24×C47—41no—
384C24×C47—41no—
385C24×C47—41no—
386C24×C47C2411yescharacteristic
387C24×C47C2411yescharacteristic
388C24×C47C2411yescharacteristic
389C24×C47C2411yescharacteristic
390C24×C47C2411yescharacteristic
391C23×D47C2411yescharacteristic
392C2×Q8×C47—22no—
393C2×Q8×C47—41no—
394C2×Q8×C47—41no—
395C2×D4×C47—22no—
396C2×D4×C47—22no—
397C2×D4×C47—22no—
398C2×D4×C47—22no—
399C2×D4×C47—22no—
400C2×D4×C47—22no—
401C2×D4×C47—41no—
402C2×D4×C47—41no—
403C2×D4×C47—41no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C2×D4×C47—41no—
410C2×D4×C47—41no—
411C2×D4×C47—41no—
412C2×D4×C47—41no—
413C2×D4×C47—41no—
414C2×D4×C47—41no—
415C2×D4×C47C2×D414yes—
416C22×C4×C47—22no—
417C22×C4×C47—22no—
418C22×C4×C47—41no—
419C22×C4×C47—41no—
420C22×C4×C47—41no—
421C22×C4×C47—41no—
422C22×C4×C47—41no—
423C22×C4×C47—41no—
424C22×C4×C47—41no—
425C22×C4×C47—41no—
426C22×C4×C47C2×D414yes—
427C22×C4×C47C2×D414yes—
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47—41no—
447C2×C22⋊D47—41no—
448C2×C22⋊D47—41no—
449C2×C22⋊D47—41no—
450C2×C22⋊D47—41no—
451C2×C22⋊D47—41no—
452C2×C22⋊D47—41no—
453C22×Dic47—22no—
454C22×Dic47—41no—
455C22×Dic47—41no—
456C22×Dic47—41no—
457C22×Dic47—41no—
458C22×Dic47—41no—
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C2×C4×D47—22no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×Dic94—22no—
478C2×Dic94—22no—
479C2×Dic94—22no—
480C2×Dic94—41no—
481C2×Dic94—41no—
482C2×Dic94—41no—
483C2×Dic94—41no—
484C2×Dic94—41no—
485C2×Dic94—41no—
486C4⋊C4×C47—22no—
487C4⋊C4×C47—22no—
488C4⋊C4×C47—22no—
489C4⋊C4×C47—22no—
490C4⋊C4×C47—22no—
491C4⋊C4×C47C2×D414yes—
492C22⋊C4×C47—22no—
493C22⋊C4×C47—22no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—22no—
497C22⋊C4×C47—22no—
498C22⋊C4×C47—22no—
499C22⋊C4×C47—22no—
500C22⋊C4×C47—22no—
501C22⋊C4×C47—22no—
502C22⋊C4×C47—22no—
503C22⋊C4×C47—22no—
504C22⋊C4×C47C2×D414yes—
505C22⋊C4×C47C2×D414yes—
506C42×C47—22no—
507C42×C47C2×D414yes—
508C22⋊Dic47—22no—
509C22⋊Dic47—22no—
510C22⋊Dic47—22no—
511C22⋊Dic47—22no—
512C22⋊Dic47—22no—
513C22⋊Dic47—22no—
514C22⋊Dic47—22no—
515C22⋊Dic47—22no—
516C22⋊Dic47—22no—
517C22⋊Dic47—41no—
518C22⋊Dic47—41no—
519C22⋊Dic47—41no—
520C22⋊Dic47—41no—
521C22⋊Dic47—41no—
522C22⋊Dic47—41no—
523C22⋊Dic47—41no—
524C22⋊Dic47—41no—
525C22⋊Dic47—41no—
526C22⋊Dic47—41no—
527C22⋊Dic47—41no—
528C22⋊Dic47—41no—
529C22⋊Dic47—41no—
530C22⋊Dic47—41no—
531C22⋊Dic47—41no—
532C22⋊Dic47—41no—
533C22⋊Dic47—41no—
534C22⋊Dic47—41no—
535C22⋊Dic47—41no—
536C22⋊Dic47—41no—
537C22⋊Dic47—41no—
538C22⋊Dic47—41no—
539C22⋊Dic47—41no—
540C22⋊Dic47—41no—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—22no—
543(C2×D47)⋊C4—22no—
544(C2×D47)⋊C4—22no—
545(C2×D47)⋊C4—41no—
546(C2×D47)⋊C4—41no—
547(C2×D47)⋊C4—41no—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4—41no—
550C4⋊Dic47—22no—
551C4⋊Dic47—22no—
552C4⋊Dic47—22no—
553C4⋊Dic47—22no—
554C4⋊Dic47—41no—
555C4⋊Dic47—41no—
556C4⋊Dic47—41no—
557Dic47⋊C4—22no—
558Dic47⋊C4—22no—
559Dic47⋊C4—22no—
560Dic47⋊C4—22no—
561Dic47⋊C4—22no—
562Dic47⋊C4—22no—
563Dic47⋊C4—22no—
564Dic47⋊C4—41no—
565Dic47⋊C4—41no—
566Dic47⋊C4—41no—
567Dic47⋊C4—41no—
568Dic47⋊C4—41no—
569Dic47⋊C4—41no—
570Dic47⋊C4—41no—
571Dic47⋊C4—41no—
572C4×Dic47—22no—
573C4×Dic47—22no—
574C4×Dic47—22no—
575C4×Dic47—22no—
576C4×Dic47—22no—
577C4×Dic47—41no—
578C4×Dic47—41no—
579C4×Dic47—41no—
580C4×Dic47—41no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—44no—
615C23×C47—82no—
616C23×C47—82no—
617C23×C47—82no—
618C23×C47—82no—
619C23×C47—82no—
620C23×C47—82no—
621C23×C47C22×D412yes—
622C23×C47C22×D412yes—
623C23×C47C2511yescharacteristic
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631Q8×C47—82no—
632D4×C47—44no—
633D4×C47—44no—
634D4×C47—82no—
635D4×C47—82no—
636D4×C47—82no—
637D4×C47—82no—
638D4×C47—82no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—44no—
665C2×C4×C47—44no—
666C2×C4×C47—82no—
667C2×C4×C47—82no—
668C2×C4×C47C22×D412yes—
669C2×C4×C47C22×D412yes—
670C2×C4×C47C22×D412yes—
671C2×C4×C47C22×D412yes—
672C2×C4×C47C22×D412yes—
673C22⋊D47—82no—
674C22⋊D47—82no—
675C22⋊D47—82no—
676C22⋊D47—82no—
677C22⋊D47—82no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—44no—
723C2×Dic47—44no—
724C2×Dic47H(5,𝔽2)12yes—
725C4×D47—44no—
726Dic94—44no—
727Dic94—82no—
728Dic94—82no—
729#36745—471nomaximal, Sylow
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—22no—
734C22×C47—22no—
735C22×C47—22no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47—41no—
751C22×C47—41no—
752C22×C47—41no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47—41no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47—88no—
766C22×C47C23×D411yescharacteristic
767C22×C47C2×H(5,𝔽2)11yescharacteristic
768C22×C47#58511yescharacteristic
769C22×C47#58511yescharacteristic
770C22×C47#58511yescharacteristic
771C22×C47#58511yescharacteristic
772C22×C47#58511yescharacteristic
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47—41no—
780C4×C47—22no—
781C4×C47—22no—
782C4×C47—22no—
783C4×C47—22no—
784C4×C47—22no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788C4×C47—41no—
789C4×C47—41no—
790Dic47—22no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801Dic47—41no—
802Dic47—41no—
803Dic47—41no—
804Dic47—41no—
805C2×#542—471no—
806C2×#538D4711yescharacteristic, complemented
807#2854—471no—
808#2850—471no—
809#2723—471no—
810#2716—471no—
811#2715—471no—
812#2712—471no—
813#2700—471no—
814#2698—471no—
815#2696—471no—
816#2691—471no—
817#2688—471no—
818#2686—471no—
819#2685—471no—
820#2684—471no—
821#2676—471no—
822#2674—471no—
823#2670—471no—
824#2668—471no—
825#2663—471no—
826#2661—471no—
827#2610—471no—
828#2604—471no—
829#2602—471no—
830#2601—471no—
831#2592—471no—
832#2561—471no—
833#2415—471no—
834#2411—471no—
835#2290—471no—
836C2×C47—42no—
837C2×C47—42no—
838C2×C47—81no—
839C2×C47—81no—
840C2×C47—81no—
841C2×C47#344911yescharacteristic
842C2×C47#349611yescharacteristic
843C2×C47#350011yescharacteristic
844C2×C47#353311yescharacteristic
845C2×C47#354011yescharacteristic
846C2×C47#356611yescharacteristic
847C2×C47#356811yescharacteristic
848D47—81no—
849#542—948no—
850#538—28no—
851C2×C4⋊Q8—471no—
852C2×#126—471no—
853C2×#126—471no—
854C2×#126C2×D4711yescharacteristic
855C2×#126C2×D4711yescharacteristic
856C2×#124—471no—
857C2×#124—471no—
858C2×#124—471no—
859C2×#124—471no—
860C2×#124C2×D4711yescharacteristic
861C2×#124C2×D4711yescharacteristic
862C2×#123—471no—
863C2×#123—471no—
864C2×#123C2×D4711yescharacteristic
865C2×#123C2×D4711yescharacteristic
866C2×C22⋊Q8—471no—
867C2×C22⋊Q8—471no—
868C2×C22⋊Q8—471no—
869C2×C22⋊Q8—471no—
870C2×C22⋊Q8C2×D4711yescharacteristic
871C2×#121—471no—
872C2×#121—471no—
873C2×#121C2×D4711yescharacteristic
874C2×#121C2×D4711yescharacteristic
875C2×#121C2×D4711yescharacteristic
876C2×#120—471no—
877C2×#120C2×D4711yescharacteristic
878C2×#120C2×D4711yescharacteristic
879C2×C4×Q8—471no—
880C2×C4×D4C2×D4711yescharacteristic
881C2×C4×D4C2×D4711yescharacteristic
882C2×#117—471no—
883C2×#117—471no—
884C22×C22⋊C4C2×D4711yescharacteristic
885C22×C42—471no—
886#400—471no—
887#400—471no—
888#399—471no—
889#399—471no—
890#398—471no—
891#398—471no—
892#397—471no—
893#397—471no—
894#397—471no—
895#397—471no—
896#397—471no—
897#397—471no—
898#397—471no—
899#397—471no—
900#397—471no—
901#397—471no—
902#396—471no—
903#396—471no—
904#396—471no—
905#396—471no—
906#395—471no—
907#395—471no—
908#395—471no—
909#394—471no—
910#394—471no—
911#394—471no—
912#394—471no—
913#394—471no—
914#394—471no—
915#394—471no—
916#394—471no—
917#394—471no—
918#394—471no—
919#394—471no—
920#394—471no—
921#394—471no—
922#393—471no—
923#393—471no—
924#393—471no—
925#393—471no—
926#393—471no—
927#393—471no—
928#393—471no—
929#392—471no—
930#392—471no—
931#392—471no—
932#392—471no—
933#392—471no—
934#391—471no—
935#391—471no—
936#391—471no—
937#391—471no—
938#390—471no—
939#390—471no—
940#390—471no—
941#390—471no—
942#390—471no—
943#390—471no—
944#390—471no—
945#389—471no—
946#389—471no—
947#389—471no—
948#389—471no—
949#389—471no—
950#388—471no—
951#388—471no—
952#388—471no—
953#388—471no—
954#388—471no—
955#388—471no—
956#388—471no—
957#388—471no—
958#388—471no—
959#388—471no—
960#388—471no—
961#388—471no—
962#388—471no—
963#388—471no—
964#388—471no—
965#388—471no—
966#388—471no—
967#388—471no—
968#388—471no—
969#388—471no—
970#387—471no—
971#387—471no—
972#387—471no—
973#387—471no—
974#387—471no—
975#387—471no—
976#386—471no—
977#386—471no—
978#386—471no—
979#386—471no—
980#386—471no—
981#386—471no—
982#386—471no—
983#386—471no—
984#386—471no—
985#386—471no—
986#386—471no—
987#386—471no—
988#386—471no—
989#385—471no—
990#385—471no—
991#385—471no—
992#385—471no—
993#385—471no—
994#382—471no—
995#381—471no—
996#381—471no—
997#380—471no—
998#380—471no—
999#379—471no—
1000#379—471no—
1001#379—471no—
1002C4×C4⋊C4—471no—
1003C4×C22⋊C4—471no—
1004C4×C22⋊C4—471no—
1005#376—471no—
1006C47#3674511yescharacteristic, complemented, Sylow
1007C25C22×D4711yescharacteristic
1008C22×Q8—471no—
1009C22×Q8—471no—
1010C22×Q8—471no—
1011C22×Q8C22×D4711yescharacteristic
1012C22×D4—471no—
1013C22×D4—471no—
1014C22×D4—471no—
1015C22×D4—471no—
1016C22×D4—471no—
1017C22×D4C22×D4711yescharacteristic
1018C22×D4C22×D4711yescharacteristic
1019C22×D4C22×D4711yescharacteristic
1020C22×D4C22×D4711yescharacteristic
1021C22×D4C22×D4711yescharacteristic
1022C22×D4C22×D4711yescharacteristic
1023C22×D4C22×D4711yescharacteristic
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4C22×D4711yescharacteristic
1028C23×C4C22×D4711yescharacteristic
1029C23×C4C22×D4711yescharacteristic
1030C23×C4C22×D4711yescharacteristic
1031C4⋊Q8—944no—
1032#126—24no—
1033#126—24no—
1034#126—944no—
1035#126—944no—
1036#124—24no—
1037#124—24no—
1038#124—944no—
1039#124—944no—
1040#124—944no—
1041#124—1882no—
1042#123—24no—
1043#123—24no—
1044#123—944no—
1045#123—944no—
1046C22⋊Q8—24no—
1047C22⋊Q8—944no—
1048C22⋊Q8—944no—
1049C22⋊Q8—944no—
1050C22⋊Q8—1882no—
1051#121—24no—
1052#121—24no—
1053#121—24no—
1054#121—944no—
1055#121—1882no—
1056#120—24no—
1057#120—24no—
1058#120—1882no—
1059C4×Q8—944no—
1060C4×D4—24no—
1061C4×D4C22⋊D4718yescomplemented
1062#117—944no—
1063#117—1882no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4—471no—
1077C2×C4⋊C4—471no—
1078C2×C4⋊C4—471no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4—471no—
1081C2×C4⋊C4—471no—
1082C2×C4⋊C4—471no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4C22×D4711yescharacteristic
1087C2×C4⋊C4C22×D4711yescharacteristic
1088C2×C4⋊C4C22×D4711yescharacteristic
1089C2×C4⋊C4C22×D4711yescharacteristic
1090C2×C4⋊C4C22×D4711yescharacteristic
1091C2×C4⋊C4C22×D4711yescharacteristic
1092C2×C22⋊C4—24no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4C22×D4711yescharacteristic
1136C2×C22⋊C4C22×D4711yescharacteristic
1137C2×C22⋊C4C22×D4711yescharacteristic
1138C2×C22⋊C4C22×D4711yescharacteristic
1139C2×C22⋊C4C22×D4711yescharacteristic
1140C2×C22⋊C4C22×D4711yescharacteristic
1141C2×C22⋊C4C22×D4711yescharacteristic
1142C2×C22⋊C4C22×D4711yescharacteristic
1143C2×C22⋊C4C22×D4711yescharacteristic
1144C2×C22⋊C4C22×D4711yescharacteristic
1145C2×C22⋊C4C22×D4711yescharacteristic
1146C2×C22⋊C4C22×D4711yescharacteristic
1147C2×C22⋊C4C22×D4711yescharacteristic
1148C2×C22⋊C4C22×D4711yescharacteristic
1149C2×C42—471no—
1150C2×C42—471no—
1151C2×C42—471no—
1152C2×C42—471no—
1153C2×C42—471no—
1154C2×C42—471no—
1155C2×C42—471no—
1156C2×C42—471no—
1157C2×C42—471no—
1158C2×C42—1882no—
1159C2×C42C22×D4711yescharacteristic
1160C2×C42C22×D4711yescharacteristic
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197C24—22no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—41no—
1204C24—471no—
1205C24C23×D4711yescharacteristic
1206C24C23×D4711yescharacteristic
1207C24C23×D4711yescharacteristic
1208C24C23×D4711yescharacteristic
1209C24C23×D4711yescharacteristic
1210C2×Q8—22no—
1211C2×Q8—41no—
1212C2×Q8—41no—
1213C2×Q8—942no—
1214C2×Q8—942no—
1215C2×Q8—942no—
1216C2×Q8—1881no—
1217C2×Q8—1881no—
1218C2×Q8—1881no—
1219C2×Q8—1881no—
1220C2×Q8—1881no—
1221C2×Q8—1881no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—942no—
1243C2×D4—942no—
1244C2×D4—942no—
1245C2×D4—1881no—
1246C2×D4—1881no—
1247C2×D4—1881no—
1248C2×D4—1881no—
1249C2×D4—1881no—
1250C2×D4—1881no—
1251C2×D4—1881no—
1252C2×D4—1881no—
1253C2×D4—1881no—
1254C2×D4—1881no—
1255C2×D4—1881no—
1256C2×D4—1881no—
1257C2×D4C2×C22⋊D4714yes—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—471no—
1269C22×C4—471no—
1270C22×C4—471no—
1271C22×C4—471no—
1272C22×C4—471no—
1273C22×C4—471no—
1274C22×C4—471no—
1275C22×C4—471no—
1276C22×C4—471no—
1277C22×C4—471no—
1278C22×C4—471no—
1279C22×C4—471no—
1280C22×C4—471no—
1281C22×C4—471no—
1282C22×C4—471no—
1283C22×C4—942no—
1284C22×C4—942no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4—1881no—
1288C22×C4—1881no—
1289C22×C4—1881no—
1290C22×C4—1881no—
1291C22×C4—1881no—
1292C22×C4C2×C22⋊D4714yes—
1293C22×C4C2×C22⋊D4714yes—
1294C22×C4C23×D4711yescharacteristic
1295C22×C4C23×D4711yescharacteristic
1296C22×C4C23×D4711yescharacteristic
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C22×C4C23×D4711yescharacteristic
1300C22×C4C23×D4711yescharacteristic
1301C22×C4C23×D4711yescharacteristic
1302C22×C4C23×D4711yescharacteristic
1303C22×C4C23×D4711yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—942no—
1310C4⋊C4—942no—
1311C4⋊C4—942no—
1312C4⋊C4—942no—
1313C4⋊C4—942no—
1314C4⋊C4—942no—
1315C4⋊C4—942no—
1316C4⋊C4—942no—
1317C4⋊C4—942no—
1318C4⋊C4—942no—
1319C4⋊C4—942no—
1320C4⋊C4—1881no—
1321C4⋊C4—1881no—
1322C4⋊C4—1881no—
1323C4⋊C4—1881no—
1324C4⋊C4—1881no—
1325C4⋊C4—1881no—
1326C4⋊C4—1881no—
1327C4⋊C4—1881no—
1328C4⋊C4—1881no—
1329C4⋊C4—1881no—
1330C4⋊C4—1881no—
1331C4⋊C4C2×C22⋊D4714yes—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—942no—
1345C22⋊C4—942no—
1346C22⋊C4—942no—
1347C22⋊C4—942no—
1348C22⋊C4—942no—
1349C22⋊C4—942no—
1350C22⋊C4—942no—
1351C22⋊C4—942no—
1352C22⋊C4—942no—
1353C22⋊C4—942no—
1354C22⋊C4—942no—
1355C22⋊C4—942no—
1356C22⋊C4—942no—
1357C22⋊C4—1881no—
1358C22⋊C4—1881no—
1359C22⋊C4—1881no—
1360C22⋊C4—1881no—
1361C22⋊C4—1881no—
1362C22⋊C4—1881no—
1363C22⋊C4—1881no—
1364C22⋊C4—1881no—
1365C22⋊C4—1881no—
1366C22⋊C4—1881no—
1367C22⋊C4—1881no—
1368C22⋊C4—1881no—
1369C22⋊C4—1881no—
1370C22⋊C4—1881no—
1371C22⋊C4—1881no—
1372C22⋊C4—1881no—
1373C22⋊C4—1881no—
1374C22⋊C4—1881no—
1375C22⋊C4—1881no—
1376C22⋊C4—1881no—
1377C22⋊C4—1881no—
1378C22⋊C4—1881no—
1379C22⋊C4—1881no—
1380C22⋊C4—1881no—
1381C22⋊C4—1881no—
1382C22⋊C4—1881no—
1383C22⋊C4—1881no—
1384C22⋊C4—1881no—
1385C22⋊C4—1881no—
1386C22⋊C4C2×C22⋊D4714yes—
1387C22⋊C4C2×C22⋊D4714yes—
1388C42—22no—
1389C42—942no—
1390C42—942no—
1391C42—942no—
1392C42—942no—
1393C42—942no—
1394C42—1881no—
1395C42—1881no—
1396C42—1881no—
1397C42—1881no—
1398C42C2×C22⋊D4714yes—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—44no—
1433C23—82no—
1434C23—82no—
1435C23—82no—
1436C23—82no—
1437C23—82no—
1438C23—82no—
1439C23—941no—
1440C23—941no—
1441C23—941no—
1442C23—941no—
1443C23—941no—
1444C23—941no—
1445C23—941no—
1446C23C22×C22⋊D4712yes—
1447C23C22×C22⋊D4712yes—
1448C23C24×D4711yescharacteristic
1449Q8—82no—
1450Q8—3762no—
1451Q8—3762no—
1452Q8—1884no—
1453D4—44no—
1454D4—44no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459D4—82no—
1460D4—3762no—
1461D4—3762no—
1462D4—3762no—
1463D4—3762no—
1464D4—3762no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—82no—
1493C2×C4—82no—
1494C2×C4—472no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—941no—
1535C2×C4—941no—
1536C2×C4—941no—
1537C2×C4—941no—
1538C2×C4—941no—
1539C2×C4—1884no—
1540C2×C4—1884no—
1541C2×C4—1884no—
1542C2×C4C22×C22⋊D4712yes—
1543C2×C4C22×C22⋊D4712yes—
1544C2×C4C22×C22⋊D4712yes—
1545C2×C4C22×C22⋊D4712yes—
1546C2×C4C22×C22⋊D4712yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—88no—
1583C22—1881no—
1584C22—1881no—
1585C22—1881no—
1586C22—1881no—
1587C22—1881no—
1588C22—1881no—
1589C22—1881no—
1590C22C23×C22⋊D4711yescharacteristic
1591C22H(5,𝔽2)×D4711yescharacteristic
1592C22#1568995811yescharacteristic
1593C22#1568995811yescharacteristic
1594C22#1568995811yescharacteristic
1595C22#1568995911yescharacteristic
1596C22#1568995911yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—942no—
1608C4—1881no—
1609C4—1881no—
1610C4—1881no—
1611C4—1881no—
1612C4—1881no—
1613C4—1881no—
1614C4—1881no—
1615C4—1881no—
1616C4—1881no—
1617C4—1881no—
1618C4—1881no—
1619C4—1881no—
1620C4—1881no—
1621C4—1881no—
1622C2—42no—
1623C2—42no—
1624C2—81no—
1625C2—81no—
1626C2—81no—
1627C2—3761no—
1628C2#2025671711yescharacteristic
1629C2#2025714711yescharacteristic
1630C2#2025717611yescharacteristic
1631C2#2025755511yescharacteristic
1632C2#2025765911yescharacteristic
1633C2#2025805211yescharacteristic
1634C2#2025808111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC2×C47×#538C2
hypercenterC2×#538D47
hypocenterC47#36745
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#15689738C2semidirect
2. #20251717C2semidirect
3. #20251687C2semidirect
4. #20250303C2semidirect
5. #20250210C2semidirect
6. #20250193C2semidirect
7. #20250154C2semidirect
8. #20249982C2semidirect
9. #20249958C2semidirect
10. #20249934C2semidirect
11. #20249865C2semidirect
12. #20249820C2semidirect
13. #20249790C2semidirect
14. #20249775C2semidirect
15. #20249766C2semidirect
16. #20249689C2semidirect
17. #20249669C2semidirect
18. #20249610C2semidirect
19. #20249592C2semidirect
20. #20249538C2semidirect
21. #20249517C2semidirect
22. #20249077C2semidirect
23. #20249028C2semidirect
24. #20249000C2semidirect
25. #20248987C2semidirect
26. #20248877C2semidirect
27. #20248546C2semidirect
28. #20246817C2semidirect
29. #20246773C2semidirect
30. #20245833C2semidirect
31. C2×C47×#538C2semidirect
33. C2×#13094023C22semidirect
35. C2×#13094017C22semidirect
39. C2×#13094010C22semidirect
41. C2×#13094007C22semidirect
42. C2×#13094004C22semidirect
44. C2×#13094003C22semidirect
45. C2×#13094003C22semidirect
49. C2×C4×Dic94C22semidirect
51. C2×#13093981C22semidirect
52. C22×C4×Dic47C22semidirect
53. #15689062C22semidirect
54. #15689062C22semidirect
57. #15689056C22semidirect
58. #15689054C22semidirect
62. #15689051C22semidirect
63. #15689051C22semidirect
64. #15689049C22semidirect
68. #15689048C22semidirect
72. #15689045C22semidirect
73. #15689043C22semidirect
74. #15689043C22semidirect
75. #15689042C22semidirect
88. #15689037C22semidirect
94. #15689035C22semidirect
95. #15689034C22semidirect
100. #15689031C22semidirect
101. #15689030C22semidirect
102. #15689030C22semidirect
103. #15689029C22semidirect
104. #15689028C22semidirect
111. #15689023C22semidirect
112. #15689021C22semidirect
113. #15689018C22semidirect
114. #15689018C22semidirect
115. #15689018C22semidirect
116. #15689018C22semidirect
124. #15689017C22semidirect
125. #15689017C22semidirect
126. #15689017C22semidirect
129. #15689014C22semidirect
130. #15689013C22semidirect
131. #15689013C22semidirect
136. #15689011C22semidirect
137. #15689009C22semidirect
138. #15689009C22semidirect
139. #15689007C22semidirect
140. #15689004C22semidirect
141. #15689004C22semidirect
142. #15689004C22semidirect
148. #15689003C22semidirect
149. #15689003C22semidirect
151. #15689002C22semidirect
152. #15689000C22semidirect
155. #15688999C22semidirect
156. #15688998C22semidirect
157. #15688998C22semidirect
159. #15688996C22semidirect
160. #15688994C22semidirect
161. #15688988C22semidirect
164. #15688983C22semidirect
165. #15688981C22semidirect
169. C4×C4⋊Dic47C22semidirect
171. C4×C22⋊Dic47C22semidirect
172. #15688969C22semidirect
355. C4×D4×C47D4semidirect
806. C2×#538D47semidirect
1006. C47#36745semidirect
1061. C4×D4C22⋊D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156897382
#202517172
#202516872
#202503032
#202502102
#202501932
#202501542
#202499822
#202499582
#202499342
#202498652
#202498202
#202497902
#202497752
#202497662
#202496892
#202496692
#202496102
#202495922
#202495382
#202495172
#202490772
#202490282
#202490002
#202489872
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C2×C47×#5382
#3674547