Finite Group Databasebeta

← #26423361

Subgroups — #26423361

Order 12032.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689632C211yesmaximal, characteristic, complemented
2#20251677C211yesmaximal, characteristic, complemented
3#20251667C211yesmaximal, characteristic, complemented
4#20250055C211yesmaximal, characteristic, complemented
5#20250010C211yesmaximal, characteristic, complemented
6#20249980C211yesmaximal, characteristic, complemented
7#20249971C211yesmaximal, characteristic, complemented
8#20249805C211yesmaximal, characteristic, complemented
9#20249753C211yesmaximal, characteristic, complemented
10#20249740C211yesmaximal, characteristic, complemented
11#20249734C211yesmaximal, characteristic, complemented
12#20249722C211yesmaximal, characteristic, complemented
13#20249716C211yesmaximal, characteristic, complemented
14#20249713C211yesmaximal, characteristic, complemented
15#20249709C211yesmaximal, characteristic, complemented
16#20249635C211yesmaximal, characteristic, complemented
17#20249609C211yesmaximal, characteristic, complemented
18#20249602C211yesmaximal, characteristic, complemented
19#20249600C211yesmaximal, characteristic, complemented
20#20249273C211yesmaximal, characteristic, complemented
21#20249227C211yesmaximal, characteristic, complemented
22#20249077C211yesmaximal, characteristic, complemented
23#20249017C211yesmaximal, characteristic, complemented
24#20248987C211yesmaximal, characteristic, complemented
25#20248970C211yesmaximal, characteristic, complemented
26#20248360C211yesmaximal, characteristic, complemented
27#20248278C211yesmaximal, characteristic, complemented
28#20246733C211yesmaximal, characteristic, complemented
29#20246707C211yesmaximal, characteristic, complemented
30#20246031C211yesmaximal, characteristic, complemented
31C2×C47×#538C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic, complemented
34C2×#13094020C2211yescharacteristic
35C2×#13094013C2211yescharacteristic, complemented
36#15689632—28no—
37C2×#13094009C2211yescharacteristic, complemented
38C2×#13094007C2211yescharacteristic
39C2×#13094006C2211yescharacteristic
40C2×#13094005C2211yescharacteristic
41C2×#13094003C2211yescharacteristic, complemented
42C2×#13094002C2211yescharacteristic, complemented
43C2×#13094001C2211yescharacteristic, complemented
44C2×#13093998C2211yescharacteristic, complemented
45C2×#13093997C2211yescharacteristic
46C2×#13093996C2211yescharacteristic
47C2×#13093995C2211yescharacteristic
48C2×#13093995C2211yescharacteristic
49C2×#13093994C2211yescharacteristic, complemented
50C2×#13093993C2211yescharacteristic
51C2×#13093993C2211yescharacteristic
52C2×#13093993C2211yescharacteristic, complemented
53C2×#13093992C2211yescharacteristic
54C2×#13093992C2211yescharacteristic
55C2×#13093992C2211yescharacteristic
56C2×#13093992C2211yescharacteristic, complemented
57C2×C4×D188C2211yescharacteristic, complemented
58C2×C4×C22⋊D47C2211yescharacteristic
59C2×C4×C22⋊D47C2211yescharacteristic, complemented
60C2×#13093981C2211yescharacteristic, complemented
61#15689061C2211yescharacteristic, complemented
62#15689058C2211yescharacteristic, complemented
63#15689056C2211yescharacteristic, complemented
64#15689056C2211yescharacteristic, complemented
65#15689053C2211yescharacteristic, complemented
66#15689051C2211yescharacteristic, complemented
67#15689051C2211yescharacteristic, complemented
68#15689048C2211yescharacteristic, complemented
69#15689046C2211yescharacteristic, complemented
70#15689046C2211yescharacteristic, complemented
71#15689046C2211yescharacteristic, complemented
72#15689046C2211yescharacteristic, complemented
73#15689045C2211yescharacteristic, complemented
74#15689045C2211yescharacteristic, complemented
75#15689042C2211yescharacteristic, complemented
76#15689040C2211yescharacteristic, complemented
77#15689039C2211yescharacteristic
78#15689039C2211yescharacteristic
79#15689039C2211yescharacteristic
80#15689039C2211yescharacteristic
81#15689039C2211yescharacteristic, complemented
82#15689039C2211yescharacteristic, complemented
83#15689039C2211yescharacteristic, complemented
84#15689039C2211yescharacteristic, complemented
85#15689038C2211yescharacteristic
86#15689038C2211yescharacteristic
87#15689038C2211yescharacteristic, complemented
88#15689038C2211yescharacteristic, complemented
89#15689037C2211yescharacteristic
90#15689037C2211yescharacteristic
91#15689037C2211yescharacteristic, complemented
92#15689037C2211yescharacteristic, complemented
93#15689037C2211yescharacteristic, complemented
94#15689037C2211yescharacteristic, complemented
95#15689035C2211yescharacteristic, complemented
96#15689035C2211yescharacteristic, complemented
97#15689034C2211yescharacteristic, complemented
98#15689032C2211yescharacteristic
99#15689032C2211yescharacteristic
100#15689032C2211yescharacteristic
101#15689031C2211yescharacteristic
102#15689031C2211yescharacteristic
103#15689031C2211yescharacteristic
104#15689031C2211yescharacteristic
105#15689031C2211yescharacteristic
106#15689031C2211yescharacteristic, complemented
107#15689031C2211yescharacteristic, complemented
108#15689031C2211yescharacteristic, complemented
109#15689030C2211yescharacteristic, complemented
110#15689029C2211yescharacteristic, complemented
111#15689026C2211yescharacteristic
112#15689026C2211yescharacteristic
113#15689026C2211yescharacteristic, complemented
114#15689025C2211yescharacteristic, complemented
115#15689023C2211yescharacteristic
116#15689023C2211yescharacteristic
117#15689023C2211yescharacteristic
118#15689023C2211yescharacteristic, complemented
119#15689023C2211yescharacteristic, complemented
120#15689022C2211yescharacteristic, complemented
121#15689022C2211yescharacteristic, complemented
122#15689018C2211yescharacteristic, complemented
123#15689017C2211yescharacteristic, complemented
124#15689017C2211yescharacteristic, complemented
125#15689017C2211yescharacteristic, complemented
126#15689016C2211yescharacteristic, complemented
127#15689016C2211yescharacteristic, complemented
128#15689016C2211yescharacteristic, complemented
129#15689016C2211yescharacteristic, complemented
130#15689014C2211yescharacteristic, complemented
131#15689013C2211yescharacteristic, complemented
132#15689013C2211yescharacteristic, complemented
133#15689013C2211yescharacteristic, complemented
134#15689011C2211yescharacteristic, complemented
135#15689011C2211yescharacteristic, complemented
136#15689011C2211yescharacteristic, complemented
137#15689007C2211yescharacteristic, complemented
138#15689004C2211yescharacteristic, complemented
139#15689003C2211yescharacteristic
140#15689003C2211yescharacteristic, complemented
141#15689002C2211yescharacteristic
142#15689002C2211yescharacteristic, complemented
143#15689002C2211yescharacteristic, complemented
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic
146#15688999C2211yescharacteristic
147#15688999C2211yescharacteristic
148#15688999C2211yescharacteristic
149#15688999C2211yescharacteristic
150#15688999C2211yescharacteristic, complemented
151#15688999C2211yescharacteristic, complemented
152#15688999C2211yescharacteristic, complemented
153#15688999C2211yescharacteristic, complemented
154#15688999C2211yescharacteristic, complemented
155#15688996C2211yescharacteristic, complemented
156#15688994C2211yescharacteristic, complemented
157#15688994C2211yescharacteristic, complemented
158#15688994C2211yescharacteristic, complemented
159#15688994C2211yescharacteristic, complemented
160#15688994C2211yescharacteristic, complemented
161#15688986C2211yescharacteristic, complemented
162#15688986C2211yescharacteristic, complemented
163#15688986C2211yescharacteristic, complemented
164#15688984C2211yescharacteristic, complemented
165#15688983C2211yescharacteristic, complemented
166#15688983C2211yescharacteristic, complemented
167#15688980C2211yescharacteristic, complemented
168#15688980C2211yescharacteristic, complemented
169#15688979C2211yescharacteristic, complemented
170#15688978C2211yescharacteristic, complemented
171C4×C4⋊Dic47C2211yescharacteristic, complemented
172#15688969C2211yescharacteristic, complemented
173C47×#538—28no—
174C2×#126×C47C2211yescharacteristic, complemented
175C2×#126×C47C2211yescharacteristic, complemented
176C2×#124×C47C2211yescharacteristic
177C2×#124×C47C2211yescharacteristic, complemented
178C2×#123×C47C2211yescharacteristic
179C2×#123×C47C2211yescharacteristic, complemented
180C2×C22⋊Q8×C47C2211yescharacteristic, complemented
181C2×#121×C47C2211yescharacteristic
182C2×#121×C47C2211yescharacteristic
183C2×#121×C47C2211yescharacteristic
184C2×#120×C47C2211yescharacteristic
185C2×#120×C47C2211yescharacteristic, complemented
186C2×C4×D4×C47C2211yescharacteristic
187C2×C4×D4×C47C2211yescharacteristic, complemented
188C22×C22⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C2×#10625350—24no—
191C2×#10625350—42no—
192C2×#10625350—42no—
193C22×Dic94C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C22×C4×D47—24no—
211C22×C4×D47—42no—
212C22×C4×D47—42no—
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218#13094020—42no—
219#13094013—42no—
220#13094009—24no—
221#13094007—42no—
222#13094006—24no—
223#13094005—42no—
224#13094003—42no—
225#13094002—24no—
226#13094001—24no—
227#13093998—42no—
228#13093997—24no—
229#13093996—24no—
230#13093995—42no—
231#13093995—42no—
232#13093994—24no—
233#13093993—42no—
234#13093993—42no—
235#13093993—42no—
236#13093992—24no—
237#13093992—42no—
238#13093992—42no—
239#13093992—42no—
240C4×D188—24no—
241C4×C22⋊D47—24no—
242C4×C22⋊D47—24no—
243#13093981—24no—
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
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
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C25×C47C2311yescharacteristic
342C22×Q8×C47C2311yescharacteristic
343C22×D4×C47C2311yescharacteristic
344C22×D4×C47C2311yescharacteristic
345C22×D4×C47C2311yescharacteristic
346C22×D4×C47C2311yescharacteristic
347C22×D4×C47C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C22×D4×C47C2311yescharacteristic
350C23×C4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352C23×C4×C47C2311yescharacteristic
353C23×C4×C47C2311yescharacteristic
354#126×C47—24no—
355#126×C47—24no—
356#124×C47—24no—
357#124×C47—24no—
358#123×C47—24no—
359#123×C47—24no—
360C22⋊Q8×C47—24no—
361#121×C47—24no—
362#121×C47—24no—
363#121×C47—24no—
364#120×C47—24no—
365#120×C47—24no—
366C4×D4×C47—24no—
367C4×D4×C47D418yescomplemented
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊C4×C47C2311yescharacteristic
371C2×C4⋊C4×C47C2311yescharacteristic
372C2×C4⋊C4×C47C2311yescharacteristic
373C2×C4⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47—24no—
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383C2×C22⋊C4×C47C2311yescharacteristic
384C2×C22⋊C4×C47C2311yescharacteristic
385C2×C22⋊C4×C47C2311yescharacteristic
386C2×C22⋊C4×C47C2311yescharacteristic
387C2×C22⋊C4×C47C2311yescharacteristic
388C2×C22⋊C4×C47C2311yescharacteristic
389C2×C42×C47C2311yescharacteristic
390C2×C42×C47C2311yescharacteristic
391C24×C47—22no—
392C24×C47—41no—
393C24×C47—41no—
394C24×C47—41no—
395C24×C47—41no—
396C24×C47—41no—
397C24×C47—41no—
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C24×C47C2411yescharacteristic
401C24×C47C2411yescharacteristic
402C24×C47C2411yescharacteristic
403C23×D47—22no—
404C23×D47—22no—
405C23×D47—22no—
406C23×D47—41no—
407C23×D47—41no—
408C23×D47—41no—
409C23×D47—41no—
410C23×D47C2411yescharacteristic
411C23×D47C2411yescharacteristic
412C23×D47C2411yescharacteristic
413C2×Q8×C47—22no—
414C2×Q8×C47—41no—
415C2×Q8×C47—41no—
416C2×D4×C47—22no—
417C2×D4×C47—22no—
418C2×D4×C47—22no—
419C2×D4×C47—22no—
420C2×D4×C47—22no—
421C2×D4×C47—22no—
422C2×D4×C47—41no—
423C2×D4×C47—41no—
424C2×D4×C47—41no—
425C2×D4×C47—41no—
426C2×D4×C47—41no—
427C2×D4×C47—41no—
428C2×D4×C47—41no—
429C2×D4×C47—41no—
430C2×D4×C47—41no—
431C2×D4×C47—41no—
432C2×D4×C47—41no—
433C2×D4×C47—41no—
434C2×D4×C47—41no—
435C2×D4×C47—41no—
436C2×D4×C47C2×D414yes—
437C22×C4×C47—22no—
438C22×C4×C47—22no—
439C22×C4×C47—41no—
440C22×C4×C47—41no—
441C22×C4×C47—41no—
442C22×C4×C47—41no—
443C22×C4×C47—41no—
444C22×C4×C47—41no—
445C22×C4×C47—41no—
446C22×C4×C47—41no—
447C22×C4×C47C2×D414yes—
448C22×C4×C47C2×D414yes—
449C22×C4×C47C2411yescharacteristic
450C22×C4×C47C2411yescharacteristic
451C22×C4×C47C2411yescharacteristic
452C22×C4×C47C2411yescharacteristic
453C22×C4×C47C2411yescharacteristic
454C22×C4×C47C2411yescharacteristic
455C22×C4×C47C2411yescharacteristic
456C22×C4×C47C2411yescharacteristic
457C22×C4×C47C2411yescharacteristic
458C22×C4×C47C2411yescharacteristic
459C2×C22⋊D47—22no—
460C2×C22⋊D47—22no—
461C2×C22⋊D47—22no—
462C2×C22⋊D47—22no—
463C2×C22⋊D47—22no—
464C2×C22⋊D47—22no—
465C2×C22⋊D47—22no—
466C2×C22⋊D47—22no—
467C2×C22⋊D47—22no—
468C2×C22⋊D47—22no—
469C2×C22⋊D47—22no—
470C2×C22⋊D47—22no—
471C2×C22⋊D47—22no—
472C2×C22⋊D47—41no—
473C2×C22⋊D47—41no—
474C2×C22⋊D47—41no—
475C2×C22⋊D47—41no—
476C2×C22⋊D47—41no—
477C2×C22⋊D47—41no—
478C2×C22⋊D47—41no—
479C2×C22⋊D47—41no—
480C2×C22⋊D47—41no—
481C2×C22⋊D47—41no—
482C2×C22⋊D47—41no—
483C2×C22⋊D47—41no—
484C2×C22⋊D47—41no—
485C2×C22⋊D47—41no—
486C2×C22⋊D47—41no—
487C2×C22⋊D47—41no—
488C2×C22⋊D47—41no—
489C2×C22⋊D47—41no—
490C2×C22⋊D47—41no—
491C2×C22⋊D47—41no—
492C2×C22⋊D47—41no—
493C2×C22⋊D47—41no—
494C2×C22⋊D47—41no—
495C2×C22⋊D47—41no—
496C2×C22⋊D47—41no—
497C2×C22⋊D47—41no—
498C22×Dic47—22no—
499C22×Dic47—22no—
500C22×Dic47—41no—
501C22×Dic47C2411yescharacteristic
502C22×Dic47C2411yescharacteristic
503C22×Dic47C2411yescharacteristic
504C22×Dic47C2411yescharacteristic
505C22×Dic47C2411yescharacteristic
506C22×Dic47C2411yescharacteristic
507C22×Dic47C2411yescharacteristic
508C22×Dic47C2411yescharacteristic
509C22×Dic47C2411yescharacteristic
510C22×Dic47C2411yescharacteristic
511C22×Dic47C2411yescharacteristic
512C22×Dic47C2411yescharacteristic
513C22×Dic47C2411yescharacteristic
514#10625350—416no—
515C2×D188—22no—
516C2×D188—22no—
517C2×D188—22no—
518C2×D188—22no—
519C2×D188—41no—
520C2×D188—41no—
521C2×C4×D47—22no—
522C2×C4×D47—22no—
523C2×C4×D47—22no—
524C2×C4×D47—22no—
525C2×C4×D47—22no—
526C2×C4×D47—22no—
527C2×C4×D47—22no—
528C2×C4×D47—22no—
529C2×C4×D47—22no—
530C2×C4×D47—416no—
531C2×C4×D47—41no—
532C2×C4×D47—41no—
533C2×C4×D47—41no—
534C2×C4×D47—41no—
535C2×C4×D47—41no—
536C2×C4×D47—41no—
537C2×Dic94—22no—
538C2×Dic94—22no—
539C2×Dic94—41no—
540C4⋊C4×C47—22no—
541C4⋊C4×C47—22no—
542C4⋊C4×C47—22no—
543C4⋊C4×C47—22no—
544C4⋊C4×C47—22no—
545C4⋊C4×C47C2×D414yes—
546C22⋊C4×C47—22no—
547C22⋊C4×C47—22no—
548C22⋊C4×C47—22no—
549C22⋊C4×C47—22no—
550C22⋊C4×C47—22no—
551C22⋊C4×C47—22no—
552C22⋊C4×C47—22no—
553C22⋊C4×C47—22no—
554C22⋊C4×C47—22no—
555C22⋊C4×C47—22no—
556C22⋊C4×C47—22no—
557C22⋊C4×C47—22no—
558C22⋊C4×C47C2×D414yes—
559C22⋊C4×C47C2×D414yes—
560C42×C47—22no—
561C42×C47C2×D414yes—
562C22⋊Dic47—22no—
563C22⋊Dic47—22no—
564C22⋊Dic47—22no—
565C22⋊Dic47—22no—
566C22⋊Dic47—22no—
567C22⋊Dic47—41no—
568C22⋊Dic47—41no—
569C22⋊Dic47—41no—
570C22⋊Dic47—41no—
571C22⋊Dic47—41no—
572C22⋊Dic47—41no—
573C22⋊Dic47—41no—
574C22⋊Dic47—41no—
575C22⋊Dic47—41no—
576C22⋊Dic47—41no—
577C22⋊Dic47—41no—
578C22⋊Dic47—41no—
579C22⋊Dic47—41no—
580C22⋊Dic47—41no—
581C22⋊Dic47—41no—
582C22⋊Dic47—41no—
583C22⋊Dic47—41no—
584C22⋊Dic47—41no—
585C22⋊Dic47—41no—
586C22⋊Dic47—41no—
587(C2×D47)⋊C4—22no—
588(C2×D47)⋊C4—22no—
589(C2×D47)⋊C4—22no—
590(C2×D47)⋊C4—22no—
591(C2×D47)⋊C4—22no—
592(C2×D47)⋊C4—22no—
593(C2×D47)⋊C4—22no—
594(C2×D47)⋊C4—22no—
595(C2×D47)⋊C4—22no—
596(C2×D47)⋊C4—22no—
597(C2×D47)⋊C4—41no—
598(C2×D47)⋊C4—41no—
599(C2×D47)⋊C4—41no—
600(C2×D47)⋊C4—41no—
601(C2×D47)⋊C4—41no—
602(C2×D47)⋊C4—41no—
603(C2×D47)⋊C4—41no—
604(C2×D47)⋊C4—41no—
605(C2×D47)⋊C4—41no—
606(C2×D47)⋊C4—41no—
607(C2×D47)⋊C4—41no—
608C4⋊Dic47—22no—
609C4⋊Dic47—41no—
610C4⋊Dic47—41no—
611C4⋊Dic47—41no—
612C4⋊Dic47—41no—
613C4⋊Dic47—41no—
614C4⋊Dic47—41no—
615Dic47⋊C4—22no—
616Dic47⋊C4—22no—
617Dic47⋊C4—22no—
618Dic47⋊C4—22no—
619Dic47⋊C4—22no—
620Dic47⋊C4—41no—
621Dic47⋊C4—41no—
622Dic47⋊C4—41no—
623Dic47⋊C4—41no—
624Dic47⋊C4—41no—
625Dic47⋊C4—41no—
626C4×Dic47—22no—
627C4×Dic47—41no—
628C4×Dic47—41no—
629C4×Dic47—41no—
630C4×Dic47—41no—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—21no—
637C23×C47—21no—
638C23×C47—21no—
639C23×C47—21no—
640C23×C47—21no—
641C23×C47—21no—
642C23×C47—21no—
643C23×C47—21no—
644C23×C47—21no—
645C23×C47—21no—
646C23×C47—21no—
647C23×C47—21no—
648C23×C47—21no—
649C23×C47—21no—
650C23×C47—21no—
651C23×C47—21no—
652C23×C47—21no—
653C23×C47—21no—
654C23×C47—21no—
655C23×C47—21no—
656C23×C47—21no—
657C23×C47—21no—
658C23×C47—21no—
659C23×C47—21no—
660C23×C47—21no—
661C23×C47—21no—
662C23×C47—21no—
663C23×C47—21no—
664C23×C47—44no—
665C23×C47—82no—
666C23×C47—82no—
667C23×C47—82no—
668C23×C47—82no—
669C23×C47—82no—
670C23×C47—82no—
671C23×C47C22×D412yes—
672C23×C47C22×D412yes—
673C23×C47C2511yescharacteristic
674C22×D47—21no—
675C22×D47—21no—
676C22×D47—21no—
677C22×D47—21no—
678C22×D47—21no—
679C22×D47—21no—
680C22×D47—21no—
681C22×D47—21no—
682C22×D47—21no—
683C22×D47—21no—
684C22×D47—21no—
685C22×D47—21no—
686C22×D47—21no—
687C22×D47—21no—
688C22×D47—21no—
689C22×D47—21no—
690C22×D47—21no—
691C22×D47—21no—
692C22×D47—21no—
693C22×D47—44no—
694C22×D47—44no—
695C22×D47—44no—
696C22×D47—44no—
697C22×D47—44no—
698C22×D47—44no—
699C22×D47—44no—
700C22×D47H(5,𝔽2)12yes—
701C22×D47H(5,𝔽2)12yes—
702Q8×C47—82no—
703D4×C47—44no—
704D4×C47—44no—
705D4×C47—82no—
706D4×C47—82no—
707D4×C47—82no—
708D4×C47—82no—
709D4×C47—82no—
710C2×C4×C47—21no—
711C2×C4×C47—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—21no—
725C2×C4×C47—21no—
726C2×C4×C47—21no—
727C2×C4×C47—21no—
728C2×C4×C47—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—44no—
736C2×C4×C47—44no—
737C2×C4×C47—82no—
738C2×C4×C47—82no—
739C2×C4×C47C22×D412yes—
740C2×C4×C47C22×D412yes—
741C2×C4×C47C22×D412yes—
742C2×C4×C47C22×D412yes—
743C2×C4×C47C22×D412yes—
744C22⋊D47—44no—
745C22⋊D47—44no—
746C22⋊D47—44no—
747C22⋊D47—44no—
748C22⋊D47—82no—
749C22⋊D47—82no—
750C22⋊D47—82no—
751C22⋊D47—82no—
752C22⋊D47—82no—
753C22⋊D47—82no—
754C22⋊D47—82no—
755C22⋊D47—82no—
756C22⋊D47—82no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—21no—
779C2×Dic47—21no—
780C2×Dic47—21no—
781C2×Dic47—21no—
782C2×Dic47—21no—
783C2×Dic47—21no—
784C2×Dic47—21no—
785C2×Dic47—21no—
786C2×Dic47—21no—
787C2×Dic47—21no—
788C2×Dic47—21no—
789C2×Dic47—21no—
790C2×Dic47—21no—
791C2×Dic47—21no—
792C2×Dic47—21no—
793C2×Dic47—21no—
794C2×Dic47—21no—
795C2×Dic47—44no—
796C2×Dic47H(5,𝔽2)12yes—
797D188—44no—
798D188—44no—
799C4×D47—28no—
800C4×D47—44no—
801C4×D47—44no—
802C4×D47—44no—
803C4×D47—44no—
804Dic94—44no—
805#36724—471nomaximal, Sylow
806C22×C47—22no—
807C22×C47—22no—
808C22×C47—22no—
809C22×C47—22no—
810C22×C47—22no—
811C22×C47—22no—
812C22×C47—41no—
813C22×C47—41no—
814C22×C47—41no—
815C22×C47—41no—
816C22×C47—41no—
817C22×C47—41no—
818C22×C47—41no—
819C22×C47—41no—
820C22×C47—41no—
821C22×C47—41no—
822C22×C47—41no—
823C22×C47—41no—
824C22×C47—41no—
825C22×C47—41no—
826C22×C47—41no—
827C22×C47—41no—
828C22×C47—41no—
829C22×C47—41no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47—41no—
833C22×C47—41no—
834C22×C47—41no—
835C22×C47—41no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47—88no—
842C22×C47C23×D411yescharacteristic
843C22×C47C2×H(5,𝔽2)11yescharacteristic
844C22×C47C2×H(5,𝔽2)11yescharacteristic
845C22×C47C2×H(5,𝔽2)11yescharacteristic
846C22×C47#58511yescharacteristic
847C22×C47#58511yescharacteristic
848C22×C47#58511yescharacteristic
849C2×D47—22no—
850C2×D47—22no—
851C2×D47—22no—
852C2×D47—22no—
853C2×D47—22no—
854C2×D47—22no—
855C2×D47—416no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—41no—
859C2×D47—41no—
860C2×D47—41no—
861C2×D47—41no—
862C2×D47—41no—
863C2×D47—41no—
864C2×D47—41no—
865C2×D47—41no—
866C2×D47—41no—
867C2×D47—41no—
868C2×D47—41no—
869C2×D47—41no—
870C2×D47—41no—
871C4×C47—22no—
872C4×C47—22no—
873C4×C47—22no—
874C4×C47—22no—
875C4×C47—22no—
876C4×C47—41no—
877C4×C47—41no—
878C4×C47—41no—
879C4×C47—41no—
880C4×C47—41no—
881Dic47—22no—
882Dic47—41no—
883Dic47—41no—
884Dic47—41no—
885Dic47—41no—
886Dic47—41no—
887Dic47—41no—
888Dic47—41no—
889Dic47—41no—
890Dic47—41no—
891Dic47—41no—
892Dic47—41no—
893Dic47—41no—
894C2×#538D4711yescharacteristic, complemented
895C2×#525—471no—
896#2849—471no—
897#2847—471no—
898#2705—471no—
899#2702—471no—
900#2700—471no—
901#2699—471no—
902#2687—471no—
903#2682—471no—
904#2681—471no—
905#2681—471no—
906#2679—471no—
907#2678—471no—
908#2678—471no—
909#2678—471no—
910#2672—471no—
911#2670—471no—
912#2669—471no—
913#2669—471no—
914#2635—471no—
915#2630—471no—
916#2610—471no—
917#2603—471no—
918#2601—471no—
919#2600—471no—
920#2544—471no—
921#2534—471no—
922#2407—471no—
923#2404—471no—
924#2319—471no—
925C2×C47—42no—
926C2×C47—42no—
927C2×C47—81no—
928C2×C47—81no—
929C2×C47—81no—
930C2×C47#344911yescharacteristic
931C2×C47#348411yescharacteristic
932C2×C47#348811yescharacteristic
933C2×C47#353311yescharacteristic
934C2×C47#353411yescharacteristic
935C2×C47#354011yescharacteristic
936C2×C47#354211yescharacteristic
937D47—42no—
938D47—42no—
939D47—81no—
940C22×#41—471no—
941C24×C4—471no—
942#538—28no—
943C2×#127—471no—
944C2×#126C2×D4711yescharacteristic, complemented
945C2×#126C2×D4711yescharacteristic, complemented
946C2×#124—471no—
947C2×#124C2×D4711yescharacteristic
948C2×#124C2×D4711yescharacteristic, complemented
949#525—948no—
950C2×#123—471no—
951C2×#123—471no—
952C2×#123—471no—
953C2×#123—471no—
954C2×#123C2×D4711yescharacteristic
955C2×#123C2×D4711yescharacteristic, complemented
956C2×C22⋊Q8—471no—
957C2×C22⋊Q8—471no—
958C2×C22⋊Q8—471no—
959C2×C22⋊Q8C2×D4711yescharacteristic, complemented
960C2×#121—471no—
961C2×#121—471no—
962C2×#121—471no—
963C2×#121—471no—
964C2×#121—471no—
965C2×#121C2×D4711yescharacteristic
966C2×#121C2×D4711yescharacteristic
967C2×#121C2×D4711yescharacteristic
968C2×#120—471no—
969C2×#120—471no—
970C2×#120—471no—
971C2×#120—471no—
972C2×#120—471no—
973C2×#120—471no—
974C2×#120—471no—
975C2×#120—471no—
976C2×#120C2×D4711yescharacteristic
977C2×#120C2×D4711yescharacteristic, complemented
978C2×C4×D4—471no—
979C2×C4×D4—471no—
980C2×C4×D4—471no—
981C2×C4×D4C2×D4711yescharacteristic
982C2×C4×D4C2×D4711yescharacteristic, complemented
983C2×#117—471no—
984C22×C22⋊C4C2×D4711yescharacteristic, complemented
985#400—471no—
986#399—471no—
987#398—471no—
988#398—471no—
989#398—471no—
990#397—471no—
991#397—471no—
992#397—471no—
993#396—471no—
994#396—471no—
995#396—471no—
996#396—471no—
997#396—471no—
998#396—471no—
999#395—471no—
1000#394—471no—
1001#394—471no—
1002#394—471no—
1003#394—471no—
1004#394—471no—
1005#394—471no—
1006#394—471no—
1007#394—471no—
1008#394—471no—
1009#394—471no—
1010#394—471no—
1011#394—471no—
1012#394—471no—
1013#394—471no—
1014#394—471no—
1015#394—471no—
1016#394—471no—
1017#394—471no—
1018#394—471no—
1019#393—471no—
1020#393—471no—
1021#393—471no—
1022#392—471no—
1023#392—471no—
1024#392—471no—
1025#392—471no—
1026#392—471no—
1027#392—471no—
1028#392—471no—
1029#392—471no—
1030#392—471no—
1031#392—471no—
1032#392—471no—
1033#391—471no—
1034#391—471no—
1035#390—471no—
1036#390—471no—
1037#390—471no—
1038#390—471no—
1039#390—471no—
1040#390—471no—
1041#390—471no—
1042#390—471no—
1043#390—471no—
1044#389—471no—
1045#389—471no—
1046#389—471no—
1047#388—471no—
1048#388—471no—
1049#388—471no—
1050#388—471no—
1051#388—471no—
1052#388—471no—
1053#388—471no—
1054#388—471no—
1055#388—471no—
1056#388—471no—
1057#388—471no—
1058#388—471no—
1059#388—471no—
1060#388—471no—
1061#387—471no—
1062#387—471no—
1063#386—471no—
1064#386—471no—
1065#386—471no—
1066#386—471no—
1067#386—471no—
1068#386—471no—
1069#386—471no—
1070#386—471no—
1071#386—471no—
1072#386—471no—
1073#386—471no—
1074#386—471no—
1075#386—471no—
1076#386—471no—
1077#386—471no—
1078#386—471no—
1079#385—471no—
1080#385—471no—
1081#385—471no—
1082#385—471no—
1083#385—471no—
1084#385—471no—
1085#381—471no—
1086#381—471no—
1087#381—471no—
1088#381—471no—
1089#380—471no—
1090#380—471no—
1091#380—471no—
1092#380—471no—
1093#379—471no—
1094#379—471no—
1095C4×C4⋊C4—471no—
1096#376—471no—
1097C47#3672411yescharacteristic, complemented, Sylow
1098C25—471no—
1099C25C22×D4711yescharacteristic
1100C2×#41—944no—
1101C2×#41—1882no—
1102C2×#41—1882no—
1103C22×Q8—471no—
1104C22×Q8C22×D4711yescharacteristic
1105C22×D4—471no—
1106C22×D4—471no—
1107C22×D4—471no—
1108C22×D4—471no—
1109C22×D4—471no—
1110C22×D4—471no—
1111C22×D4—471no—
1112C22×D4—471no—
1113C22×D4—471no—
1114C22×D4—471no—
1115C22×D4—471no—
1116C22×D4—471no—
1117C22×D4—471no—
1118C22×D4—471no—
1119C22×D4—471no—
1120C22×D4C22×D4711yescharacteristic
1121C22×D4C22×D4711yescharacteristic
1122C22×D4C22×D4711yescharacteristic
1123C22×D4C22×D4711yescharacteristic
1124C22×D4C22×D4711yescharacteristic
1125C22×D4C22×D4711yescharacteristic
1126C22×D4C22×D4711yescharacteristic
1127C23×C4—471no—
1128C23×C4—471no—
1129C23×C4—471no—
1130C23×C4—471no—
1131C23×C4—471no—
1132C23×C4—471no—
1133C23×C4—944no—
1134C23×C4—1882no—
1135C23×C4—1882no—
1136C23×C4C22×D4711yescharacteristic
1137C23×C4C22×D4711yescharacteristic
1138C23×C4C22×D4711yescharacteristic
1139C23×C4C22×D4711yescharacteristic
1140#127—1882no—
1141#126—24no—
1142#126—24no—
1143#124—24no—
1144#124—24no—
1145#124—1882no—
1146#123—24no—
1147#123—24no—
1148#123—944no—
1149#123—944no—
1150#123—1882no—
1151#123—1882no—
1152C22⋊Q8—24no—
1153C22⋊Q8—944no—
1154C22⋊Q8—944no—
1155C22⋊Q8—1882no—
1156#121—24no—
1157#121—24no—
1158#121—24no—
1159#121—944no—
1160#121—944no—
1161#121—1882no—
1162#121—1882no—
1163#121—1882no—
1164#120—24no—
1165#120—24no—
1166#120—944no—
1167#120—944no—
1168#120—1882no—
1169#120—1882no—
1170#120—1882no—
1171#120—1882no—
1172#120—1882no—
1173#120—1882no—
1174C4×D4—24no—
1175C4×D4—944no—
1176C4×D4—944no—
1177C4×D4—944no—
1178C4×D4C22⋊D4718yescomplemented
1179#117—944no—
1180C2×C4⋊C4—471no—
1181C2×C4⋊C4—471no—
1182C2×C4⋊C4—471no—
1183C2×C4⋊C4—471no—
1184C2×C4⋊C4—471no—
1185C2×C4⋊C4—471no—
1186C2×C4⋊C4—471no—
1187C2×C4⋊C4—471no—
1188C2×C4⋊C4—471no—
1189C2×C4⋊C4—471no—
1190C2×C4⋊C4—471no—
1191C2×C4⋊C4—471no—
1192C2×C4⋊C4—471no—
1193C2×C4⋊C4—471no—
1194C2×C4⋊C4—471no—
1195C2×C4⋊C4—471no—
1196C2×C4⋊C4—471no—
1197C2×C4⋊C4—471no—
1198C2×C4⋊C4C22×D4711yescharacteristic
1199C2×C4⋊C4C22×D4711yescharacteristic
1200C2×C4⋊C4C22×D4711yescharacteristic
1201C2×C4⋊C4C22×D4711yescharacteristic
1202C2×C4⋊C4C22×D4711yescharacteristic
1203C2×C4⋊C4C22×D4711yescharacteristic
1204C2×C22⋊C4—24no—
1205C2×C22⋊C4—471no—
1206C2×C22⋊C4—471no—
1207C2×C22⋊C4—471no—
1208C2×C22⋊C4—471no—
1209C2×C22⋊C4—471no—
1210C2×C22⋊C4—471no—
1211C2×C22⋊C4—471no—
1212C2×C22⋊C4—471no—
1213C2×C22⋊C4—471no—
1214C2×C22⋊C4—471no—
1215C2×C22⋊C4—471no—
1216C2×C22⋊C4—471no—
1217C2×C22⋊C4—471no—
1218C2×C22⋊C4—471no—
1219C2×C22⋊C4—471no—
1220C2×C22⋊C4—471no—
1221C2×C22⋊C4—471no—
1222C2×C22⋊C4—471no—
1223C2×C22⋊C4—471no—
1224C2×C22⋊C4—471no—
1225C2×C22⋊C4—471no—
1226C2×C22⋊C4—471no—
1227C2×C22⋊C4—471no—
1228C2×C22⋊C4—471no—
1229C2×C22⋊C4—471no—
1230C2×C22⋊C4—471no—
1231C2×C22⋊C4—471no—
1232C2×C22⋊C4—471no—
1233C2×C22⋊C4—471no—
1234C2×C22⋊C4—471no—
1235C2×C22⋊C4—471no—
1236C2×C22⋊C4—471no—
1237C2×C22⋊C4—471no—
1238C2×C22⋊C4—471no—
1239C2×C22⋊C4—471no—
1240C2×C22⋊C4—471no—
1241C2×C22⋊C4—471no—
1242C2×C22⋊C4—471no—
1243C2×C22⋊C4—471no—
1244C2×C22⋊C4—471no—
1245C2×C22⋊C4—471no—
1246C2×C22⋊C4—471no—
1247C2×C22⋊C4—471no—
1248C2×C22⋊C4—471no—
1249C2×C22⋊C4—471no—
1250C2×C22⋊C4—471no—
1251C2×C22⋊C4C22×D4711yescharacteristic
1252C2×C22⋊C4C22×D4711yescharacteristic
1253C2×C22⋊C4C22×D4711yescharacteristic
1254C2×C22⋊C4C22×D4711yescharacteristic
1255C2×C22⋊C4C22×D4711yescharacteristic
1256C2×C22⋊C4C22×D4711yescharacteristic
1257C2×C22⋊C4C22×D4711yescharacteristic
1258C2×C22⋊C4C22×D4711yescharacteristic
1259C2×C22⋊C4C22×D4711yescharacteristic
1260C2×C22⋊C4C22×D4711yescharacteristic
1261C2×C22⋊C4C22×D4711yescharacteristic
1262C2×C22⋊C4C22×D4711yescharacteristic
1263C2×C22⋊C4C22×D4711yescharacteristic
1264C2×C22⋊C4C22×D4711yescharacteristic
1265C2×C42—471no—
1266C2×C42—471no—
1267C2×C42—471no—
1268C2×C42—471no—
1269C2×C42—471no—
1270C2×C42C22×D4711yescharacteristic
1271C2×C42C22×D4711yescharacteristic
1272#95—471no—
1273#95—471no—
1274#95—471no—
1275#95—471no—
1276#95—471no—
1277#95—471no—
1278#95—471no—
1279#95—471no—
1280#95—471no—
1281#95—471no—
1282#95—471no—
1283#95—471no—
1284#95—471no—
1285#95—471no—
1286#95—471no—
1287#95—471no—
1288#95—471no—
1289#95—471no—
1290#95—471no—
1291#95—471no—
1292#95—471no—
1293#95—471no—
1294#95—471no—
1295#95—471no—
1296#95—471no—
1297#95—471no—
1298#95—471no—
1299#95—471no—
1300C24—22no—
1301C24—41no—
1302C24—41no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—471no—
1308C24—471no—
1309C24—471no—
1310C24—942no—
1311C24—942no—
1312C24—942no—
1313C24—1881no—
1314C24—1881no—
1315C24—1881no—
1316C24—1881no—
1317C24C23×D4711yescharacteristic
1318C24C23×D4711yescharacteristic
1319C24C23×D4711yescharacteristic
1320C24C23×D4711yescharacteristic
1321C24C23×D4711yescharacteristic
1322#41—18816no—
1323C2×Q8—22no—
1324C2×Q8—41no—
1325C2×Q8—41no—
1326C2×Q8—942no—
1327C2×Q8—942no—
1328C2×Q8—1881no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—942no—
1350C2×D4—942no—
1351C2×D4—942no—
1352C2×D4—942no—
1353C2×D4—942no—
1354C2×D4—942no—
1355C2×D4—942no—
1356C2×D4—942no—
1357C2×D4—942no—
1358C2×D4—942no—
1359C2×D4—942no—
1360C2×D4—942no—
1361C2×D4—942no—
1362C2×D4—942no—
1363C2×D4—942no—
1364C2×D4—942no—
1365C2×D4—942no—
1366C2×D4—1881no—
1367C2×D4—1881no—
1368C2×D4—1881no—
1369C2×D4—1881no—
1370C2×D4—1881no—
1371C2×D4—1881no—
1372C2×D4—1881no—
1373C2×D4—1881no—
1374C2×D4—1881no—
1375C2×D4—1881no—
1376C2×D4—1881no—
1377C2×D4—1881no—
1378C2×D4—1881no—
1379C2×D4—1881no—
1380C2×D4—1881no—
1381C2×D4—1881no—
1382C2×D4—1881no—
1383C2×D4—1881no—
1384C2×D4—1881no—
1385C2×D4—1881no—
1386C2×D4—1881no—
1387C2×D4—1881no—
1388C2×D4—1881no—
1389C2×D4—1881no—
1390C2×D4—1881no—
1391C2×D4—1881no—
1392C2×D4—1881no—
1393C2×D4—1881no—
1394C2×D4C2×C22⋊D4714yes—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—471no—
1406C22×C4—471no—
1407C22×C4—471no—
1408C22×C4—471no—
1409C22×C4—471no—
1410C22×C4—471no—
1411C22×C4—471no—
1412C22×C4—471no—
1413C22×C4—471no—
1414C22×C4—471no—
1415C22×C4—471no—
1416C22×C4—471no—
1417C22×C4—471no—
1418C22×C4—942no—
1419C22×C4—942no—
1420C22×C4—942no—
1421C22×C4—942no—
1422C22×C4—942no—
1423C22×C4—942no—
1424C22×C4—942no—
1425C22×C4—942no—
1426C22×C4—942no—
1427C22×C4—942no—
1428C22×C4—942no—
1429C22×C4—1881no—
1430C22×C4—1881no—
1431C22×C4—1881no—
1432C22×C4—1881no—
1433C22×C4—1881no—
1434C22×C4—1881no—
1435C22×C4—18816no—
1436C22×C4—1881no—
1437C22×C4C2×C22⋊D4714yes—
1438C22×C4C2×C22⋊D4714yes—
1439C22×C4C23×D4711yescharacteristic
1440C22×C4C23×D4711yescharacteristic
1441C22×C4C23×D4711yescharacteristic
1442C22×C4C23×D4711yescharacteristic
1443C22×C4C23×D4711yescharacteristic
1444C22×C4C23×D4711yescharacteristic
1445C22×C4C23×D4711yescharacteristic
1446C22×C4C23×D4711yescharacteristic
1447C22×C4C23×D4711yescharacteristic
1448C22×C4C23×D4711yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—942no—
1455C4⋊C4—942no—
1456C4⋊C4—942no—
1457C4⋊C4—942no—
1458C4⋊C4—942no—
1459C4⋊C4—942no—
1460C4⋊C4—1881no—
1461C4⋊C4—1881no—
1462C4⋊C4—1881no—
1463C4⋊C4—1881no—
1464C4⋊C4—1881no—
1465C4⋊C4—1881no—
1466C4⋊C4—1881no—
1467C4⋊C4—1881no—
1468C4⋊C4—1881no—
1469C4⋊C4—1881no—
1470C4⋊C4—1881no—
1471C4⋊C4—1881no—
1472C4⋊C4C2×C22⋊D4714yes—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—942no—
1486C22⋊C4—942no—
1487C22⋊C4—942no—
1488C22⋊C4—942no—
1489C22⋊C4—942no—
1490C22⋊C4—942no—
1491C22⋊C4—942no—
1492C22⋊C4—942no—
1493C22⋊C4—942no—
1494C22⋊C4—942no—
1495C22⋊C4—942no—
1496C22⋊C4—942no—
1497C22⋊C4—942no—
1498C22⋊C4—942no—
1499C22⋊C4—942no—
1500C22⋊C4—1881no—
1501C22⋊C4—1881no—
1502C22⋊C4—1881no—
1503C22⋊C4—1881no—
1504C22⋊C4—1881no—
1505C22⋊C4—1881no—
1506C22⋊C4—1881no—
1507C22⋊C4—1881no—
1508C22⋊C4—1881no—
1509C22⋊C4—1881no—
1510C22⋊C4—1881no—
1511C22⋊C4—1881no—
1512C22⋊C4—1881no—
1513C22⋊C4—1881no—
1514C22⋊C4—1881no—
1515C22⋊C4—1881no—
1516C22⋊C4—1881no—
1517C22⋊C4—1881no—
1518C22⋊C4—1881no—
1519C22⋊C4—1881no—
1520C22⋊C4—1881no—
1521C22⋊C4—1881no—
1522C22⋊C4—1881no—
1523C22⋊C4—1881no—
1524C22⋊C4—1881no—
1525C22⋊C4—1881no—
1526C22⋊C4—1881no—
1527C22⋊C4—1881no—
1528C22⋊C4—1881no—
1529C22⋊C4—1881no—
1530C22⋊C4—1881no—
1531C22⋊C4C2×C22⋊D4714yes—
1532C22⋊C4C2×C22⋊D4714yes—
1533C42—22no—
1534C42—942no—
1535C42—1881no—
1536C42—1881no—
1537C42—1881no—
1538C42—1881no—
1539C42C2×C22⋊D4714yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—44no—
1574C23—82no—
1575C23—82no—
1576C23—82no—
1577C23—82no—
1578C23—82no—
1579C23—82no—
1580C23—472no—
1581C23—472no—
1582C23—941no—
1583C23—941no—
1584C23—941no—
1585C23—941no—
1586C23—941no—
1587C23—941no—
1588C23—941no—
1589C23—941no—
1590C23—941no—
1591C23—941no—
1592C23—941no—
1593C23—941no—
1594C23—941no—
1595C23—941no—
1596C23—941no—
1597C23—941no—
1598C23—941no—
1599C23—941no—
1600C23—941no—
1601C23—1884no—
1602C23—1884no—
1603C23—1884no—
1604C23—1884no—
1605C23—1884no—
1606C23—1884no—
1607C23—1884no—
1608C23C22×C22⋊D4712yes—
1609C23C22×C22⋊D4712yes—
1610C23C24×D4711yescharacteristic
1611Q8—82no—
1612Q8—1884no—
1613D4—44no—
1614D4—44no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—3762no—
1621D4—3762no—
1622D4—3762no—
1623D4—3762no—
1624D4—3762no—
1625D4—3762no—
1626D4—3762no—
1627D4—3762no—
1628D4—3762no—
1629D4—1884no—
1630D4—1884no—
1631D4—1884no—
1632D4—1884no—
1633D4—1884no—
1634D4—1884no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—82no—
1663C2×C4—82no—
1664C2×C4—472no—
1665C2×C4—948no—
1666C2×C4—941no—
1667C2×C4—941no—
1668C2×C4—941no—
1669C2×C4—941no—
1670C2×C4—941no—
1671C2×C4—941no—
1672C2×C4—941no—
1673C2×C4—941no—
1674C2×C4—941no—
1675C2×C4—941no—
1676C2×C4—941no—
1677C2×C4—941no—
1678C2×C4—941no—
1679C2×C4—941no—
1680C2×C4—941no—
1681C2×C4—941no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—941no—
1685C2×C4—941no—
1686C2×C4—941no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—941no—
1693C2×C4—941no—
1694C2×C4—941no—
1695C2×C4—941no—
1696C2×C4—941no—
1697C2×C4—941no—
1698C2×C4—941no—
1699C2×C4—941no—
1700C2×C4—941no—
1701C2×C4—941no—
1702C2×C4—941no—
1703C2×C4—941no—
1704C2×C4—1884no—
1705C2×C4—1884no—
1706C2×C4—1884no—
1707C2×C4—1884no—
1708C2×C4—1884no—
1709C2×C4C22×C22⋊D4712yes—
1710C2×C4C22×C22⋊D4712yes—
1711C2×C4C22×C22⋊D4712yes—
1712C2×C4C22×C22⋊D4712yes—
1713C2×C4C22×C22⋊D4712yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—88no—
1750C22—942no—
1751C22—942no—
1752C22—942no—
1753C22—942no—
1754C22—942no—
1755C22—942no—
1756C22—18816no—
1757C22—1881no—
1758C22—1881no—
1759C22—1881no—
1760C22—1881no—
1761C22—1881no—
1762C22—1881no—
1763C22—1881no—
1764C22—1881no—
1765C22—1881no—
1766C22—1881no—
1767C22—1881no—
1768C22—1881no—
1769C22—1881no—
1770C22—1881no—
1771C22—1881no—
1772C22C23×C22⋊D4711yescharacteristic
1773C22H(5,𝔽2)×D4711yescharacteristic
1774C22H(5,𝔽2)×D4711yescharacteristic
1775C22H(5,𝔽2)×D4711yescharacteristic
1776C22#1568995811yescharacteristic
1777C22#1568995911yescharacteristic
1778C22#1568995911yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—942no—
1790C4—1881no—
1791C4—1881no—
1792C4—1881no—
1793C4—1881no—
1794C4—1881no—
1795C4—1881no—
1796C4—1881no—
1797C4—1881no—
1798C4—1881no—
1799C4—1881no—
1800C4—1881no—
1801C4—1881no—
1802C2—42no—
1803C2—42no—
1804C2—81no—
1805C2—81no—
1806C2—81no—
1807C2—3761no—
1808C2—1882no—
1809C2—1882no—
1810C2#2025671711yescharacteristic
1811C2#2025701911yescharacteristic
1812C2#2025705011yescharacteristic
1813C2#2025755511yescharacteristic
1814C2#2025757711yescharacteristic
1815C2#2025765911yescharacteristic
1816C2#2025770311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC2×C47×#538C2
hypercenterC2×#538D47
hypocenterC47#36724
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#15689632C2semidirect
2. #20251677C2semidirect
3. #20251667C2semidirect
4. #20250055C2semidirect
5. #20250010C2semidirect
6. #20249980C2semidirect
7. #20249971C2semidirect
8. #20249805C2semidirect
9. #20249753C2semidirect
10. #20249740C2semidirect
11. #20249734C2semidirect
12. #20249722C2semidirect
13. #20249716C2semidirect
14. #20249713C2semidirect
15. #20249709C2semidirect
16. #20249635C2semidirect
17. #20249609C2semidirect
18. #20249602C2semidirect
19. #20249600C2semidirect
20. #20249273C2semidirect
21. #20249227C2semidirect
22. #20249077C2semidirect
23. #20249017C2semidirect
24. #20248987C2semidirect
25. #20248970C2semidirect
26. #20248360C2semidirect
27. #20248278C2semidirect
28. #20246733C2semidirect
29. #20246707C2semidirect
30. #20246031C2semidirect
31. C2×C47×#538C2semidirect
33. C23×C4×D47C22semidirect
35. C2×#13094013C22semidirect
37. C2×#13094009C22semidirect
41. C2×#13094003C22semidirect
42. C2×#13094002C22semidirect
43. C2×#13094001C22semidirect
44. C2×#13093998C22semidirect
49. C2×#13093994C22semidirect
52. C2×#13093993C22semidirect
56. C2×#13093992C22semidirect
57. C2×C4×D188C22semidirect
59. C2×C4×C22⋊D47C22semidirect
60. C2×#13093981C22semidirect
61. #15689061C22semidirect
62. #15689058C22semidirect
63. #15689056C22semidirect
64. #15689056C22semidirect
65. #15689053C22semidirect
66. #15689051C22semidirect
67. #15689051C22semidirect
68. #15689048C22semidirect
69. #15689046C22semidirect
70. #15689046C22semidirect
71. #15689046C22semidirect
72. #15689046C22semidirect
73. #15689045C22semidirect
74. #15689045C22semidirect
75. #15689042C22semidirect
76. #15689040C22semidirect
81. #15689039C22semidirect
82. #15689039C22semidirect
83. #15689039C22semidirect
84. #15689039C22semidirect
87. #15689038C22semidirect
88. #15689038C22semidirect
91. #15689037C22semidirect
92. #15689037C22semidirect
93. #15689037C22semidirect
94. #15689037C22semidirect
95. #15689035C22semidirect
96. #15689035C22semidirect
97. #15689034C22semidirect
106. #15689031C22semidirect
107. #15689031C22semidirect
108. #15689031C22semidirect
109. #15689030C22semidirect
110. #15689029C22semidirect
113. #15689026C22semidirect
114. #15689025C22semidirect
118. #15689023C22semidirect
119. #15689023C22semidirect
120. #15689022C22semidirect
121. #15689022C22semidirect
122. #15689018C22semidirect
123. #15689017C22semidirect
124. #15689017C22semidirect
125. #15689017C22semidirect
126. #15689016C22semidirect
127. #15689016C22semidirect
128. #15689016C22semidirect
129. #15689016C22semidirect
130. #15689014C22semidirect
131. #15689013C22semidirect
132. #15689013C22semidirect
133. #15689013C22semidirect
134. #15689011C22semidirect
135. #15689011C22semidirect
136. #15689011C22semidirect
137. #15689007C22semidirect
138. #15689004C22semidirect
140. #15689003C22semidirect
142. #15689002C22semidirect
143. #15689002C22semidirect
150. #15688999C22semidirect
151. #15688999C22semidirect
152. #15688999C22semidirect
153. #15688999C22semidirect
154. #15688999C22semidirect
155. #15688996C22semidirect
156. #15688994C22semidirect
157. #15688994C22semidirect
158. #15688994C22semidirect
159. #15688994C22semidirect
160. #15688994C22semidirect
161. #15688986C22semidirect
162. #15688986C22semidirect
163. #15688986C22semidirect
164. #15688984C22semidirect
165. #15688983C22semidirect
166. #15688983C22semidirect
167. #15688980C22semidirect
168. #15688980C22semidirect
169. #15688979C22semidirect
170. #15688978C22semidirect
171. C4×C4⋊Dic47C22semidirect
172. #15688969C22semidirect
174. C2×#126×C47C22semidirect
175. C2×#126×C47C22semidirect
177. C2×#124×C47C22semidirect
179. C2×#123×C47C22semidirect
180. C2×C22⋊Q8×C47C22semidirect
185. C2×#120×C47C22semidirect
187. C2×C4×D4×C47C22semidirect
188. C22×C22⋊C4×C47C22semidirect
367. C4×D4×C47D4semidirect
894. C2×#538D47semidirect
944. C2×#126C2×D47semidirect
945. C2×#126C2×D47semidirect
948. C2×#124C2×D47semidirect
955. C2×#123C2×D47semidirect
959. C2×C22⋊Q8C2×D47semidirect
977. C2×#120C2×D47semidirect
982. C2×C4×D4C2×D47semidirect
984. C22×C22⋊C4C2×D47semidirect
1097. C47#36724semidirect
1178. C4×D4C22⋊D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156896322
#202516772
#202516672
#202500552
#202500102
#202499802
#202499712
#202498052
#202497532
#202497402
#202497342
#202497222
#202497162
#202497132
#202497092
#202496352
#202496092
#202496022
#202496002
#202492732
#202492272
#202490772
#202490172
#202489872
#202489702
#202483602
#202482782
#202467332
#202467072
#202460312
C2×C47×#5382
#3672447