Finite Group Databasebeta

← #26425611

Subgroups — #26425611

Order 12032.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251701C211yesmaximal, characteristic, complemented
2#20251685C211yesmaximal, characteristic, complemented
3#20251247C211yesmaximal, characteristic, complemented
4#20250775C211yesmaximal, characteristic, complemented
5#20250712C211yesmaximal, characteristic, complemented
6#20250667C211yesmaximal, characteristic, complemented
7#20250655C211yesmaximal, characteristic, complemented
8#20250641C211yesmaximal, characteristic, complemented
9#20250615C211yesmaximal, characteristic, complemented
10#20250387C211yesmaximal, characteristic, complemented
11#20250186C211yesmaximal, characteristic, complemented
12#20250177C211yesmaximal, characteristic, complemented
13#20250024C211yesmaximal, characteristic, complemented
14#20249775C211yesmaximal, characteristic, complemented
15#20249775C211yesmaximal, characteristic, complemented
16#20249709C211yesmaximal, characteristic, complemented
17#20249694C211yesmaximal, characteristic, complemented
18#20249610C211yesmaximal, characteristic, complemented
19#20249163C211yesmaximal, characteristic, complemented
20#20249126C211yesmaximal, characteristic, complemented
21#20247648C211yesmaximal, characteristic, complemented
22#20247513C211yesmaximal, characteristic, complemented
23#20247129C211yesmaximal, characteristic, complemented
24#20247054C211yesmaximal, characteristic, complemented
25#20246920C211yesmaximal, characteristic, complemented
26#20246762C211yesmaximal, characteristic, complemented
27#20246762C211yesmaximal, characteristic, complemented
28#20246043C211yesmaximal, characteristic, complemented
29#20245966C211yesmaximal, characteristic, complemented
30C2×#15689026C211yesmaximal, characteristic, complemented
31C47×#2403C211yesmaximal, characteristic, complemented
32C2×#13094017C2211yescharacteristic, complemented
33C2×#13094017C2211yescharacteristic, complemented
34C2×#13094011C2211yescharacteristic, complemented
35C2×#13094010C2211yescharacteristic, complemented
36C2×#13094006C2211yescharacteristic, complemented
37C2×#13094001C2211yescharacteristic, complemented
38C2×#13094001C2211yescharacteristic, complemented
39C2×#13093996C2211yescharacteristic
40C2×#13093996C2211yescharacteristic
41C2×#13093996C2211yescharacteristic, complemented
42C2×#13093996C2211yescharacteristic, complemented
43C2×#13093995C2211yescharacteristic, complemented
44C2×#13093993C2211yescharacteristic
45C2×#13093993C2211yescharacteristic, complemented
46C2×#13093993C2211yescharacteristic, complemented
47C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
48C22×C4⋊Dic47C2211yescharacteristic, complemented
49C22×C22⋊Dic47C2211yescharacteristic
50C22×C22⋊Dic47C2211yescharacteristic
51C22×C22⋊Dic47C2211yescharacteristic
52C22×C22⋊Dic47C2211yescharacteristic, complemented
53C22×C22⋊Dic47C2211yescharacteristic, complemented
54C22×C4×Dic47C2211yescharacteristic, complemented
55#15689065C2211yescharacteristic, complemented
56#15689063C2211yescharacteristic, complemented
57#15689059C2211yescharacteristic, complemented
58#15689059C2211yescharacteristic, complemented
59#15689057C2211yescharacteristic, complemented
60#15689051C2211yescharacteristic, complemented
61#15689051C2211yescharacteristic, complemented
62#15689051C2211yescharacteristic, complemented
63#15689051C2211yescharacteristic, complemented
64#15689051C2211yescharacteristic, complemented
65#15689051C2211yescharacteristic, complemented
66#15689050C2211yescharacteristic, complemented
67#15689048C2211yescharacteristic, complemented
68#15689048C2211yescharacteristic, complemented
69#15689046C2211yescharacteristic, complemented
70#15689046C2211yescharacteristic, complemented
71#15689046C2211yescharacteristic, complemented
72#15689046C2211yescharacteristic, complemented
73#15689039C2211yescharacteristic, complemented
74#15689039C2211yescharacteristic, complemented
75#15689038C2211yescharacteristic, complemented
76#15689038C2211yescharacteristic, complemented
77#15689037C2211yescharacteristic
78#15689037C2211yescharacteristic
79#15689037C2211yescharacteristic, complemented
80#15689037C2211yescharacteristic, complemented
81#15689037C2211yescharacteristic, complemented
82#15689037C2211yescharacteristic, complemented
83#15689037C2211yescharacteristic, complemented
84#15689037C2211yescharacteristic, complemented
85#15689037C2211yescharacteristic, complemented
86#15689037C2211yescharacteristic, complemented
87#15689037C2211yescharacteristic, complemented
88#15689037C2211yescharacteristic, complemented
89#15689037C2211yescharacteristic, complemented
90#15689035C2211yescharacteristic, complemented
91#15689035C2211yescharacteristic, complemented
92#15689031C2211yescharacteristic
93#15689031C2211yescharacteristic
94#15689031C2211yescharacteristic, complemented
95#15689031C2211yescharacteristic, complemented
96#15689031C2211yescharacteristic, complemented
97#15689031C2211yescharacteristic, complemented
98#15689031C2211yescharacteristic, complemented
99#15689027C2211yescharacteristic, complemented
100#15689026C2211yescharacteristic
101#15689026C2211yescharacteristic
102#15689026C2211yescharacteristic
103#15689026C2211yescharacteristic
104#15689026C2211yescharacteristic, complemented
105#15689026C2211yescharacteristic, complemented
106#15689026C2211yescharacteristic, complemented
107#15689026C2211yescharacteristic, complemented
108#15689026C2211yescharacteristic, complemented
109#15689026C2211yescharacteristic, complemented
110#15689023C2211yescharacteristic, complemented
111#15689023C2211yescharacteristic, complemented
112#15689023C2211yescharacteristic, complemented
113#15689017C2211yescharacteristic, complemented
114#15689017C2211yescharacteristic, complemented
115#15689017C2211yescharacteristic, complemented
116#15689017C2211yescharacteristic, complemented
117#15689017C2211yescharacteristic, complemented
118#15689016C2211yescharacteristic, complemented
119#15689016C2211yescharacteristic, complemented
120#15689016C2211yescharacteristic, complemented
121#15689016C2211yescharacteristic, complemented
122#15689015C2211yescharacteristic, complemented
123#15689012C2211yescharacteristic, complemented
124#15689011C2211yescharacteristic, complemented
125#15689011C2211yescharacteristic, complemented
126#15689011C2211yescharacteristic, complemented
127#15689011C2211yescharacteristic, complemented
128#15689011C2211yescharacteristic, complemented
129#15689010C2211yescharacteristic, complemented
130#15689010C2211yescharacteristic, complemented
131#15689008C2211yescharacteristic, complemented
132#15689008C2211yescharacteristic, complemented
133#15689006C2211yescharacteristic, complemented
134#15689005C2211yescharacteristic, complemented
135#15689003C2211yescharacteristic
136#15689003C2211yescharacteristic
137#15689003C2211yescharacteristic
138#15689003C2211yescharacteristic
139#15689003C2211yescharacteristic
140#15689003C2211yescharacteristic
141#15689003C2211yescharacteristic, complemented
142#15689003C2211yescharacteristic, complemented
143#15689003C2211yescharacteristic, complemented
144#15689003C2211yescharacteristic, complemented
145#15689003C2211yescharacteristic, complemented
146#15689003C2211yescharacteristic, complemented
147#15689002C2211yescharacteristic, complemented
148#15689002C2211yescharacteristic, complemented
149#15689000C2211yescharacteristic, complemented
150#15688999C2211yescharacteristic, complemented
151#15688999C2211yescharacteristic, complemented
152#15688999C2211yescharacteristic, complemented
153#15688998C2211yescharacteristic, complemented
154#15688998C2211yescharacteristic, complemented
155#15688997C2211yescharacteristic, complemented
156#15688996C2211yescharacteristic, complemented
157#15688996C2211yescharacteristic, complemented
158#15688995C2211yescharacteristic, complemented
159#15688995C2211yescharacteristic, complemented
160#15688995C2211yescharacteristic, complemented
161#15688990C2211yescharacteristic, complemented
162#15688987C2211yescharacteristic, complemented
163#15688986C2211yescharacteristic, complemented
164#15688986C2211yescharacteristic, complemented
165#15688981C2211yescharacteristic, complemented
166#15688981C2211yescharacteristic, complemented
167#15688979C2211yescharacteristic, complemented
168#15688979C2211yescharacteristic, complemented
169#15688979C2211yescharacteristic, complemented
170#15688979C2211yescharacteristic, complemented
171C22⋊C4×Dic47C2211yescharacteristic, complemented
172C23×D4×C47C2211yescharacteristic
173C23×D4×C47C2211yescharacteristic
174C2×#120×C47C2211yescharacteristic
175C2×#120×C47C2211yescharacteristic
176C2×#120×C47C2211yescharacteristic
177C2×#120×C47C2211yescharacteristic
178C47×#392C2211yescharacteristic
179C47×#392C2211yescharacteristic
180C47×#392C2211yescharacteristic
181C47×#392C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic
186C47×#379C2211yescharacteristic
187C22×Dic94C2311yescharacteristic
188C22×C22⋊D47C2311yescharacteristic
189C22×C22⋊D47C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202#13094017—42no—
203#13094017—42no—
204#13094011—42no—
205#13094010—42no—
206#13094006—42no—
207#13094001—42no—
208#13094001—42no—
209#13093996—42no—
210#13093996—42no—
211#13093996—42no—
212#13093996—42no—
213#13093995—42no—
214#13093993—24no—
215#13093993—42no—
216#13093993—42no—
217(C22⋊D47)⋊C4—42no—
218C2×C4⋊Dic47—42no—
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×C22⋊Dic47—42no—
240C2×C22⋊Dic47—42no—
241C2×C22⋊Dic47—42no—
242C2×C22⋊Dic47—42no—
243C2×C22⋊Dic47—42no—
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×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×C4×Dic47—42no—
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
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
329C47⋊#95C2311yescharacteristic
330C25×C47C2311yescharacteristic
331C25×C47C2311yescharacteristic
332C25×C47C2311yescharacteristic
333C22×D4×C47—24no—
334C22×D4×C47—24no—
335C22×D4×C47—42no—
336C22×D4×C47—42no—
337C22×D4×C47—42no—
338C22×D4×C47—42no—
339C22×D4×C47C2311yescharacteristic
340C22×D4×C47C2311yescharacteristic
341C22×D4×C47C2311yescharacteristic
342C22×D4×C47C2311yescharacteristic
343C22×D4×C47C2311yescharacteristic
344C22×D4×C47C2311yescharacteristic
345C22×D4×C47C2311yescharacteristic
346C22×D4×C47C2311yescharacteristic
347C22×D4×C47C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C22×D4×C47C2311yescharacteristic
350C22×D4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352C23×C4×C47C2311yescharacteristic
353#120×C47—42no—
354#120×C47—42no—
355#120×C47—42no—
356#120×C47—42no—
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
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
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375C24×C47—22no—
376C24×C47—22no—
377C24×C47—22no—
378C24×C47—22no—
379C24×C47—22no—
380C24×C47—22no—
381C24×C47—41no—
382C24×C47—41no—
383C24×C47—41no—
384C24×C47—41no—
385C24×C47—41no—
386C24×C47—41no—
387C24×C47—41no—
388C24×C47—41no—
389C24×C47—41no—
390C24×C47—41no—
391C24×C47—41no—
392C24×C47—41no—
393C24×C47—41no—
394C24×C47—41no—
395C24×C47#4114yes—
396C24×C47C2411yescharacteristic
397C24×C47C2411yescharacteristic
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C24×C47C2411yescharacteristic
401C24×C47C2411yescharacteristic
402C24×C47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C2×D4×C47—22no—
405C2×D4×C47—22no—
406C2×D4×C47—22no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—22no—
410C2×D4×C47—22no—
411C2×D4×C47—22no—
412C2×D4×C47—22no—
413C2×D4×C47—22no—
414C2×D4×C47—22no—
415C2×D4×C47—22no—
416C2×D4×C47—22no—
417C2×D4×C47—22no—
418C2×D4×C47—22no—
419C2×D4×C47—22no—
420C2×D4×C47—41no—
421C2×D4×C47—41no—
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—416no—
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×C47—41no—
437C2×D4×C47—41no—
438C2×D4×C47—41no—
439C2×D4×C47—41no—
440C2×D4×C47—41no—
441C2×D4×C47—416no—
442C22×C4×C47—22no—
443C22×C4×C47—22no—
444C22×C4×C47—22no—
445C22×C4×C47—22no—
446C22×C4×C47—41no—
447C22×C4×C47—41no—
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C22×C4×C47C2411yescharacteristic
451C22×C4×C47C2411yescharacteristic
452C22×C4×C47C2411yescharacteristic
453C22×C4×C47C2411yescharacteristic
454C22×C4×C47C2411yescharacteristic
455C22×C4×C47C2411yescharacteristic
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—22no—
460C2×C22⋊D47—22no—
461C2×C22⋊D47—22no—
462C2×C22⋊D47—41no—
463C2×C22⋊D47—41no—
464C2×C22⋊D47—41no—
465C2×C22⋊D47—41no—
466C2×C22⋊D47—41no—
467C2×C22⋊D47—41no—
468C2×C22⋊D47—41no—
469C2×C22⋊D47—41no—
470C2×C22⋊D47—41no—
471C2×C22⋊D47—41no—
472C2×C22⋊D47—41no—
473C2×C22⋊D47—41no—
474C2×C22⋊D47—41no—
475C2×C22⋊D47—41no—
476C2×C22⋊D47—41no—
477C22×Dic47—22no—
478C22×Dic47—22no—
479C22×Dic47—22no—
480C22×Dic47—22no—
481C22×Dic47—22no—
482C22×Dic47—41no—
483C22×Dic47—41no—
484C22×Dic47—41no—
485C22×Dic47—41no—
486C22×Dic47—41no—
487C22×Dic47—41no—
488C22×Dic47—41no—
489C22×Dic47—41no—
490C22×Dic47—41no—
491C22×Dic47—41no—
492C22×Dic47—41no—
493C22×Dic47—41no—
494C22×Dic47—41no—
495C22×Dic47C2411yescharacteristic
496C22×Dic47C2411yescharacteristic
497C22×Dic47C2411yescharacteristic
498C22×Dic47C2411yescharacteristic
499C22×Dic47C2411yescharacteristic
500C22×Dic47C2411yescharacteristic
501C22×Dic47C2411yescharacteristic
502C22×Dic47C2411yescharacteristic
503C22×Dic47C2411yescharacteristic
504C22×Dic47C2411yescharacteristic
505C22×Dic47C2411yescharacteristic
506C22×Dic47C2411yescharacteristic
507C22×Dic47C2411yescharacteristic
508C22×Dic47C2411yescharacteristic
509C22×Dic47C2411yescharacteristic
510C2×C4×D47—41no—
511C2×C4×D47—41no—
512C2×C4×D47—41no—
513C2×Dic94—22no—
514C2×Dic94—41no—
515C2×Dic94—41no—
516C22⋊C4×C47—22no—
517C22⋊C4×C47—22no—
518C22⋊C4×C47—22no—
519C22⋊C4×C47—22no—
520C22⋊C4×C47—22no—
521C22⋊C4×C47—22no—
522C22⋊C4×C47—41no—
523C22⋊C4×C47—41no—
524C22⋊C4×C47—41no—
525C22⋊C4×C47—41no—
526C22⋊C4×C47—41no—
527C22⋊C4×C47—41no—
528C22⋊C4×C47—41no—
529C22⋊C4×C47—41no—
530C22⋊Dic47—22no—
531C22⋊Dic47—22no—
532C22⋊Dic47—22no—
533C22⋊Dic47—22no—
534C22⋊Dic47—22no—
535C22⋊Dic47—22no—
536C22⋊Dic47—22no—
537C22⋊Dic47—22no—
538C22⋊Dic47—22no—
539C22⋊Dic47—22no—
540C22⋊Dic47—41no—
541C22⋊Dic47—41no—
542C22⋊Dic47—41no—
543C22⋊Dic47—41no—
544C22⋊Dic47—41no—
545C22⋊Dic47—41no—
546C22⋊Dic47—41no—
547C22⋊Dic47—41no—
548C22⋊Dic47—41no—
549C22⋊Dic47—41no—
550C22⋊Dic47—41no—
551C22⋊Dic47—41no—
552C22⋊Dic47—41no—
553C22⋊Dic47—41no—
554C22⋊Dic47—41no—
555C22⋊Dic47—41no—
556C22⋊Dic47—41no—
557C22⋊Dic47—41no—
558C22⋊Dic47—41no—
559C22⋊Dic47—41no—
560C22⋊Dic47—41no—
561C22⋊Dic47—41no—
562C22⋊Dic47—41no—
563C22⋊Dic47—41no—
564C22⋊Dic47—41no—
565C22⋊Dic47—41no—
566C22⋊Dic47—41no—
567C22⋊Dic47—41no—
568C22⋊Dic47—41no—
569C22⋊Dic47—41no—
570C22⋊Dic47—41no—
571C22⋊Dic47—41no—
572C22⋊Dic47—41no—
573(C2×D47)⋊C4—22no—
574(C2×D47)⋊C4—22no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4—41no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊C4—41no—
579(C2×D47)⋊C4—41no—
580C4⋊Dic47—22no—
581C4⋊Dic47—22no—
582C4⋊Dic47—22no—
583C4⋊Dic47—41no—
584C4⋊Dic47—41no—
585C4⋊Dic47—41no—
586C4⋊Dic47—41no—
587Dic47⋊C4—22no—
588Dic47⋊C4—22no—
589Dic47⋊C4—41no—
590Dic47⋊C4—41no—
591Dic47⋊C4—41no—
592Dic47⋊C4—41no—
593Dic47⋊C4—41no—
594Dic47⋊C4—41no—
595Dic47⋊C4—41no—
596Dic47⋊C4—41no—
597Dic47⋊C4—41no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600C4×Dic47—22no—
601C4×Dic47—22no—
602C4×Dic47—41no—
603C4×Dic47—41no—
604C4×Dic47—41no—
605C4×Dic47—41no—
606C4×Dic47—41no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—28no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47—21no—
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—44no—
653C23×C47—44no—
654C23×C47—44no—
655C23×C47—44no—
656C23×C47—44no—
657C23×C47—44no—
658C23×C47—82no—
659C23×C47—82no—
660C23×C47—82no—
661C23×C47—82no—
662C23×C47—82no—
663C23×C47—82no—
664C23×C47—82no—
665C23×C47—82no—
666C23×C47—82no—
667C23×C47—82no—
668C23×C47—82no—
669C23×C47—82no—
670C23×C47—82no—
671C23×C47—82no—
672C23×C47C2×#4112yes—
673C23×C47C2×#4112yes—
674C23×C47C2×#4112yes—
675C23×C47H(5,𝔽2)12yes—
676C23×C47H(5,𝔽2)12yes—
677C23×C47C2511yescharacteristic
678C22×D47—21no—
679C22×D47—21no—
680C22×D47—21no—
681C22×D47—21no—
682C22×D47—21no—
683C22×D47—21no—
684C22×D47—21no—
685D4×C47—44no—
686D4×C47—44no—
687D4×C47—44no—
688D4×C47—44no—
689D4×C47—44no—
690D4×C47—44no—
691D4×C47—44no—
692D4×C47—44no—
693D4×C47—82no—
694D4×C47—82no—
695D4×C47—82no—
696D4×C47—82no—
697C2×C4×C47—28no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—21no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47—21no—
708C2×C4×C47—21no—
709C2×C4×C47—21no—
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—44no—
721C2×C4×C47H(5,𝔽2)12yes—
722C2×C4×C47H(5,𝔽2)12yes—
723C22⋊D47—44no—
724C22⋊D47—82no—
725C22⋊D47—82no—
726C22⋊D47—82no—
727C22⋊D47—82no—
728C22⋊D47—82no—
729C22⋊D47—82no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—21no—
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—44no—
775C2×Dic47—44no—
776C2×Dic47—82no—
777C2×Dic47—82no—
778C2×Dic47—82no—
779C2×Dic47—82no—
780C2×Dic47H(5,𝔽2)12yes—
781C4×D47—82no—
782Dic94—82no—
783#36808—471nomaximal, Sylow
784C22×C47—22no—
785C22×C47—22no—
786C22×C47—22no—
787C22×C47—22no—
788C22×C47—22no—
789C22×C47—22no—
790C22×C47—22no—
791C22×C47—22no—
792C22×C47—22no—
793C22×C47—22no—
794C22×C47—22no—
795C22×C47—22no—
796C22×C47—41no—
797C22×C47—41no—
798C22×C47—41no—
799C22×C47—41no—
800C22×C47—41no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47—41no—
808C22×C47—41no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
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—88no—
833C22×C47—88no—
834C22×C47—88no—
835C22×C47#53814yes—
836C22×C47C22×#4111yescharacteristic
837C22×C47C2×H(5,𝔽2)11yescharacteristic
838C22×C47C2×H(5,𝔽2)11yescharacteristic
839C22×C47C2×H(5,𝔽2)11yescharacteristic
840C22×C47C2×H(5,𝔽2)11yescharacteristic
841C22×C47C2×H(5,𝔽2)11yescharacteristic
842C22×C47#58511yescharacteristic
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—41no—
850C4×C47—22no—
851C4×C47—22no—
852C4×C47—41no—
853C4×C47—41no—
854C4×C47—41no—
855C4×C47—41no—
856C4×C47—41no—
857C4×C47—41no—
858Dic47—22no—
859Dic47—41no—
860Dic47—41no—
861Dic47—41no—
862Dic47—41no—
863Dic47—41no—
864Dic47—41no—
865Dic47—41no—
866Dic47—41no—
867Dic47—41no—
868Dic47—41no—
869Dic47—41no—
870Dic47—41no—
871Dic47—41no—
872Dic47—41no—
873#2852—471no—
874#2850—471no—
875#2797—471no—
876#2761—471no—
877#2756—471no—
878#2753—471no—
879#2752—471no—
880#2751—471no—
881#2749—471no—
882#2730—471no—
883#2714—471no—
884#2714—471no—
885#2703—471no—
886#2685—471no—
887#2685—471no—
888#2678—471no—
889#2676—471no—
890#2670—471no—
891#2622—471no—
892#2617—471no—
893#2481—471no—
894#2472—471no—
895#2443—471no—
896#2437—471no—
897#2424—471no—
898#2410—471no—
899#2410—471no—
900#2403D4711yescharacteristic, complemented
901#2321—471no—
902#2308—471no—
903C2×#390—471no—
904C2×C47—24no—
905C2×C47—42no—
906C2×C47—42no—
907C2×C47—81no—
908C2×C47—81no—
909C2×C47—81no—
910C2×C47—81no—
911C2×C47C2×#53811yescharacteristic
912C2×C47#349011yescharacteristic
913C2×C47#350511yescharacteristic
914C2×C47#353711yescharacteristic
915C2×C47#354211yescharacteristic
916C2×C47#354311yescharacteristic
917C2×C47#355811yescharacteristic
918D47—81no—
919C23×D4C2×D4711yescharacteristic
920C23×D4C2×D4711yescharacteristic
921C2×#126—471no—
922C2×#126—471no—
923C2×#124—471no—
924C2×#124—471no—
925C2×#123—471no—
926C2×C22⋊Q8—471no—
927C2×C22⋊Q8—471no—
928C2×#121—471no—
929C2×#121—471no—
930C2×#121—471no—
931C2×#121—471no—
932C2×#121—471no—
933C2×#120—471no—
934C2×#120—471no—
935C2×#120—471no—
936C2×#120C2×D4711yescharacteristic
937C2×#120C2×D4711yescharacteristic
938C2×#120C2×D4711yescharacteristic
939C2×#120C2×D4711yescharacteristic
940C2×C4×D4—471no—
941C22×C4⋊C4—471no—
942C22×C22⋊C4—471no—
943C22×C22⋊C4—471no—
944C22×C22⋊C4—471no—
945C22×C22⋊C4—471no—
946C22×C22⋊C4—471no—
947C22×C42—471no—
948#400—471no—
949#400—471no—
950#399—471no—
951#399—471no—
952#398—471no—
953#397—471no—
954#397—471no—
955#397—471no—
956#397—471no—
957#397—471no—
958#397—471no—
959#397—471no—
960#397—471no—
961#397—471no—
962#396—471no—
963#396—471no—
964#396—471no—
965#396—471no—
966#394—471no—
967#394—471no—
968#394—471no—
969#394—471no—
970#394—471no—
971#394—471no—
972#394—471no—
973#394—471no—
974#394—471no—
975#394—471no—
976#394—471no—
977#394—471no—
978#394—471no—
979#394—471no—
980#394—471no—
981#394—471no—
982#394—471no—
983#393—471no—
984#393—471no—
985#392—471no—
986#392—471no—
987#392—471no—
988#392—471no—
989#392—471no—
990#392—471no—
991#392—471no—
992#392C2×D4711yescharacteristic
993#392C2×D4711yescharacteristic
994#392C2×D4711yescharacteristic
995#392C2×D4711yescharacteristic
996#391—471no—
997#390—471no—
998#390—471no—
999#390—471no—
1000#390—471no—
1001#390—471no—
1002#390—471no—
1003#390—471no—
1004#390—471no—
1005#390—471no—
1006#390—471no—
1007#390—471no—
1008#390—471no—
1009#390—471no—
1010#388—471no—
1011#388—471no—
1012#388—471no—
1013#388—471no—
1014#388—471no—
1015#388—471no—
1016#388—471no—
1017#388—471no—
1018#388—471no—
1019#388—471no—
1020#388—471no—
1021#388—471no—
1022#388—471no—
1023#388—471no—
1024#388—471no—
1025#388—471no—
1026#387—471no—
1027#387—471no—
1028#387—471no—
1029#387—471no—
1030#387—471no—
1031#387—471no—
1032#386—471no—
1033#386—471no—
1034#386—471no—
1035#386—471no—
1036#386—471no—
1037#386—471no—
1038#386—471no—
1039#386—471no—
1040#386—471no—
1041#386—471no—
1042#386—471no—
1043#386—471no—
1044#386—471no—
1045#386—471no—
1046#386—471no—
1047#386—471no—
1048#386—471no—
1049#386—471no—
1050#386C2×D4711yescharacteristic
1051#386C2×D4711yescharacteristic
1052#386C2×D4711yescharacteristic
1053#386C2×D4711yescharacteristic
1054#385—471no—
1055#385—471no—
1056#385—471no—
1057#385—471no—
1058#385—471no—
1059#385—471no—
1060#385—471no—
1061#385—471no—
1062#383—471no—
1063#382—471no—
1064#381—471no—
1065#381—471no—
1066#380—471no—
1067#380—471no—
1068#379—471no—
1069#379—471no—
1070#379—471no—
1071#379—471no—
1072#379C2×D4711yescharacteristic
1073C4×C22⋊C4—471no—
1074C47#3680811yescharacteristic, complemented, Sylow
1075C25C22×D4711yescharacteristic
1076C25C22×D4711yescharacteristic
1077C25C22×D4711yescharacteristic
1078C22×Q8—471no—
1079C22×D4—24no—
1080C22×D4—24no—
1081C22×D4—42no—
1082C22×D4—42no—
1083C22×D4—42no—
1084C22×D4—42no—
1085C22×D4—471no—
1086C22×D4—471no—
1087C22×D4—471no—
1088C22×D4—471no—
1089C22×D4—471no—
1090C22×D4—471no—
1091C22×D4—471no—
1092C22×D4C22×D4711yescharacteristic
1093C22×D4C22×D4711yescharacteristic
1094C22×D4C22×D4711yescharacteristic
1095C22×D4C22×D4711yescharacteristic
1096C22×D4C22×D4711yescharacteristic
1097C22×D4C22×D4711yescharacteristic
1098C22×D4C22×D4711yescharacteristic
1099C22×D4C22×D4711yescharacteristic
1100C22×D4C22×D4711yescharacteristic
1101C22×D4C22×D4711yescharacteristic
1102C22×D4C22×D4711yescharacteristic
1103C22×D4C22×D4711yescharacteristic
1104C23×C4—471no—
1105C23×C4—471no—
1106C23×C4—471no—
1107C23×C4—471no—
1108C23×C4—471no—
1109C23×C4—471no—
1110C23×C4—471no—
1111C23×C4C22×D4711yescharacteristic
1112C23×C4C22×D4711yescharacteristic
1113#126—1882no—
1114#126—1882no—
1115#124—1882no—
1116#124—1882no—
1117#123—1882no—
1118C22⋊Q8—1882no—
1119C22⋊Q8—1882no—
1120#121—1882no—
1121#121—1882no—
1122#121—1882no—
1123#121—1882no—
1124#121—1882no—
1125#120—42no—
1126#120—42no—
1127#120—42no—
1128#120—42no—
1129#120—944no—
1130#120—1882no—
1131#120—1882no—
1132C4×D4—1882no—
1133C2×C4⋊C4—471no—
1134C2×C4⋊C4—471no—
1135C2×C4⋊C4—471no—
1136C2×C4⋊C4—471no—
1137C2×C4⋊C4—471no—
1138C2×C4⋊C4—471no—
1139C2×C4⋊C4—471no—
1140C2×C4⋊C4—471no—
1141C2×C4⋊C4—471no—
1142C2×C4⋊C4—471no—
1143C2×C4⋊C4—471no—
1144C2×C4⋊C4—471no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—471no—
1150C2×C4⋊C4—471no—
1151C2×C4⋊C4—471no—
1152C2×C4⋊C4—471no—
1153C2×C4⋊C4—1882no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—471no—
1193C2×C22⋊C4—471no—
1194C2×C22⋊C4—471no—
1195C2×C22⋊C4—471no—
1196C2×C22⋊C4—471no—
1197C2×C22⋊C4—471no—
1198C2×C22⋊C4—471no—
1199C2×C22⋊C4—471no—
1200C2×C22⋊C4—471no—
1201C2×C22⋊C4—471no—
1202C2×C22⋊C4—471no—
1203C2×C22⋊C4—471no—
1204C2×C22⋊C4—1882no—
1205C2×C22⋊C4—1882no—
1206C2×C22⋊C4—1882no—
1207C2×C22⋊C4—1882no—
1208C2×C22⋊C4—1882no—
1209C2×C22⋊C4C22×D4711yescharacteristic
1210C2×C22⋊C4C22×D4711yescharacteristic
1211C2×C22⋊C4C22×D4711yescharacteristic
1212C2×C22⋊C4C22×D4711yescharacteristic
1213C2×C22⋊C4C22×D4711yescharacteristic
1214C2×C22⋊C4C22×D4711yescharacteristic
1215C2×C22⋊C4C22×D4711yescharacteristic
1216C2×C22⋊C4C22×D4711yescharacteristic
1217C2×C22⋊C4C22×D4711yescharacteristic
1218C2×C22⋊C4C22×D4711yescharacteristic
1219C2×C22⋊C4C22×D4711yescharacteristic
1220C2×C22⋊C4C22×D4711yescharacteristic
1221C2×C22⋊C4C22×D4711yescharacteristic
1222C2×C22⋊C4C22×D4711yescharacteristic
1223C2×C42—471no—
1224C2×C42—471no—
1225C2×C42—471no—
1226C2×C42—471no—
1227C2×C42—471no—
1228C2×C42—471no—
1229C2×C42—471no—
1230C2×C42—1882no—
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95—471no—
1237#95—471no—
1238#95—471no—
1239#95—471no—
1240#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95—471no—
1246#95—471no—
1247#95—471no—
1248#95—471no—
1249#95—471no—
1250#95—471no—
1251#95—471no—
1252#95—471no—
1253#95—471no—
1254#95—471no—
1255#95—471no—
1256#95—471no—
1257#95—471no—
1258#95—471no—
1259#95C22×D4711yescharacteristic
1260#95C22×D4711yescharacteristic
1261#95C22×D4711yescharacteristic
1262#95C22×D4711yescharacteristic
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—22no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—41no—
1282C24—41no—
1283C24—471no—
1284C24#1062535214yes—
1285C24C23×D4711yescharacteristic
1286C24C23×D4711yescharacteristic
1287C24C23×D4711yescharacteristic
1288C24C23×D4711yescharacteristic
1289C24C23×D4711yescharacteristic
1290C24C23×D4711yescharacteristic
1291C24C23×D4711yescharacteristic
1292C2×Q8—942no—
1293C2×Q8—1881no—
1294C2×Q8—1881no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—416no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—416no—
1333C2×D4—942no—
1334C2×D4—942no—
1335C2×D4—942no—
1336C2×D4—942no—
1337C2×D4—942no—
1338C2×D4—942no—
1339C2×D4—1881no—
1340C2×D4—1881no—
1341C2×D4—1881no—
1342C2×D4—1881no—
1343C2×D4—1881no—
1344C2×D4—1881no—
1345C2×D4—1881no—
1346C2×D4—1881no—
1347C2×D4—1881no—
1348C2×D4—1881no—
1349C2×D4—1881no—
1350C2×D4—1881no—
1351C2×D4—1881no—
1352C2×D4—1881no—
1353C2×D4—1881no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—471no—
1361C22×C4—471no—
1362C22×C4—471no—
1363C22×C4—471no—
1364C22×C4—471no—
1365C22×C4—471no—
1366C22×C4—471no—
1367C22×C4—471no—
1368C22×C4—471no—
1369C22×C4—471no—
1370C22×C4—471no—
1371C22×C4—471no—
1372C22×C4—471no—
1373C22×C4—471no—
1374C22×C4—471no—
1375C22×C4—942no—
1376C22×C4—942no—
1377C22×C4—942no—
1378C22×C4—942no—
1379C22×C4—942no—
1380C22×C4—1881no—
1381C22×C4—1881no—
1382C22×C4—1881no—
1383C22×C4—1881no—
1384C22×C4—1881no—
1385C22×C4—1881no—
1386C22×C4—1881no—
1387C22×C4—1881no—
1388C22×C4—1881no—
1389C22×C4—1881no—
1390C22×C4—1881no—
1391C22×C4—1881no—
1392C22×C4—1881no—
1393C22×C4—1881no—
1394C22×C4—1881no—
1395C22×C4—1881no—
1396C22×C4C23×D4711yescharacteristic
1397C22×C4C23×D4711yescharacteristic
1398C22×C4C23×D4711yescharacteristic
1399C22×C4C23×D4711yescharacteristic
1400C22×C4C23×D4711yescharacteristic
1401C22×C4C23×D4711yescharacteristic
1402C22×C4C23×D4711yescharacteristic
1403C22×C4C23×D4711yescharacteristic
1404C4⋊C4—942no—
1405C4⋊C4—942no—
1406C4⋊C4—942no—
1407C4⋊C4—942no—
1408C4⋊C4—942no—
1409C4⋊C4—1881no—
1410C4⋊C4—1881no—
1411C4⋊C4—1881no—
1412C4⋊C4—1881no—
1413C4⋊C4—1881no—
1414C4⋊C4—1881no—
1415C4⋊C4—1881no—
1416C4⋊C4—1881no—
1417C4⋊C4—1881no—
1418C4⋊C4—1881no—
1419C4⋊C4—1881no—
1420C4⋊C4—1881no—
1421C4⋊C4—1881no—
1422C4⋊C4—1881no—
1423C4⋊C4—1881no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—942no—
1439C22⋊C4—942no—
1440C22⋊C4—942no—
1441C22⋊C4—942no—
1442C22⋊C4—942no—
1443C22⋊C4—942no—
1444C22⋊C4—942no—
1445C22⋊C4—942no—
1446C22⋊C4—942no—
1447C22⋊C4—942no—
1448C22⋊C4—942no—
1449C22⋊C4—942no—
1450C22⋊C4—1881no—
1451C22⋊C4—1881no—
1452C22⋊C4—1881no—
1453C22⋊C4—1881no—
1454C22⋊C4—1881no—
1455C22⋊C4—1881no—
1456C22⋊C4—1881no—
1457C22⋊C4—1881no—
1458C22⋊C4—1881no—
1459C22⋊C4—1881no—
1460C22⋊C4—1881no—
1461C22⋊C4—1881no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4—1881no—
1466C22⋊C4—1881no—
1467C22⋊C4—1881no—
1468C22⋊C4—1881no—
1469C22⋊C4—1881no—
1470C22⋊C4—1881no—
1471C22⋊C4—1881no—
1472C22⋊C4—1881no—
1473C22⋊C4—1881no—
1474C22⋊C4—1881no—
1475C22⋊C4—1881no—
1476C22⋊C4—1881no—
1477C22⋊C4—1881no—
1478C22⋊C4—1881no—
1479C22⋊C4—1881no—
1480C22⋊C4—1881no—
1481C22⋊C4—1881no—
1482C22⋊C4—1881no—
1483C22⋊C4—1881no—
1484C22⋊C4—1881no—
1485C22⋊C4—1881no—
1486C22⋊C4—1881no—
1487C22⋊C4—1881no—
1488C42—942no—
1489C42—942no—
1490C42—1881no—
1491C42—1881no—
1492C42—1881no—
1493C42—1881no—
1494C42—1881no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—28no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—44no—
1541C23—44no—
1542C23—44no—
1543C23—44no—
1544C23—44no—
1545C23—44no—
1546C23—82no—
1547C23—82no—
1548C23—82no—
1549C23—82no—
1550C23—82no—
1551C23—82no—
1552C23—82no—
1553C23—82no—
1554C23—82no—
1555C23—82no—
1556C23—82no—
1557C23—82no—
1558C23—82no—
1559C23—82no—
1560C23—941no—
1561C23—941no—
1562C23—941no—
1563C23—941no—
1564C23—941no—
1565C23—941no—
1566C23—941no—
1567C23C2×#1062535212yes—
1568C23C2×#1062535212yes—
1569C23C2×#1062535212yes—
1570C23#1309406912yes—
1571C23#1309406912yes—
1572C23C24×D4711yescharacteristic
1573Q8—3762no—
1574D4—44no—
1575D4—44no—
1576D4—44no—
1577D4—44no—
1578D4—44no—
1579D4—44no—
1580D4—44no—
1581D4—44no—
1582D4—82no—
1583D4—82no—
1584D4—82no—
1585D4—82no—
1586D4—3762no—
1587D4—3762no—
1588D4—3762no—
1589D4—3762no—
1590D4—3762no—
1591D4—3762no—
1592D4—1884no—
1593C2×C4—28no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—44no—
1617C2×C4—472no—
1618C2×C4—941no—
1619C2×C4—941no—
1620C2×C4—941no—
1621C2×C4—941no—
1622C2×C4—941no—
1623C2×C4—941no—
1624C2×C4—941no—
1625C2×C4—941no—
1626C2×C4—941no—
1627C2×C4—941no—
1628C2×C4—941no—
1629C2×C4—941no—
1630C2×C4—941no—
1631C2×C4—941no—
1632C2×C4—941no—
1633C2×C4—941no—
1634C2×C4—941no—
1635C2×C4—941no—
1636C2×C4—941no—
1637C2×C4—941no—
1638C2×C4—941no—
1639C2×C4—941no—
1640C2×C4—941no—
1641C2×C4—941no—
1642C2×C4—941no—
1643C2×C4—941no—
1644C2×C4—941no—
1645C2×C4—941no—
1646C2×C4—941no—
1647C2×C4—941no—
1648C2×C4—941no—
1649C2×C4—941no—
1650C2×C4—941no—
1651C2×C4—941no—
1652C2×C4—941no—
1653C2×C4—941no—
1654C2×C4—941no—
1655C2×C4—941no—
1656C2×C4—941no—
1657C2×C4—941no—
1658C2×C4—941no—
1659C2×C4—941no—
1660C2×C4—941no—
1661C2×C4—941no—
1662C2×C4—3762no—
1663C2×C4—3762no—
1664C2×C4—3762no—
1665C2×C4—3762no—
1666C2×C4—3762no—
1667C2×C4—1884no—
1668C2×C4—1884no—
1669C2×C4#1309406912yes—
1670C2×C4#1309406912yes—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—88no—
1720C22—88no—
1721C22—88no—
1722C22—1881no—
1723C22—1881no—
1724C22—1881no—
1725C22—1881no—
1726C22—1881no—
1727C22—1881no—
1728C22—1881no—
1729C22#1568970814yes—
1730C22C22×#1062535211yescharacteristic
1731C22H(5,𝔽2)×D4711yescharacteristic
1732C22C2×#1309406911yescharacteristic
1733C22C2×#1309406911yescharacteristic
1734C22C2×#1309406911yescharacteristic
1735C22C2×#1309406911yescharacteristic
1736C22#1568995811yescharacteristic
1737C4—22no—
1738C4—22no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—942no—
1746C4—1881no—
1747C4—1881no—
1748C4—1881no—
1749C4—1881no—
1750C4—1881no—
1751C4—1881no—
1752C4—1881no—
1753C4—1881no—
1754C4—1881no—
1755C4—1881no—
1756C4—1881no—
1757C4—1881no—
1758C4—1881no—
1759C4—1881no—
1760C2—24no—
1761C2—42no—
1762C2—42no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—3761no—
1768C2C2×#1568970811yescharacteristic
1769C2#2025707511yescharacteristic
1770C2#2025722511yescharacteristic
1771C2#2025761911yescharacteristic
1772C2#2025770911yescharacteristic
1773C2#2025771311yescharacteristic
1774C2#2025790211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2403C2
hypercenter#2403D47
hypocenterC47#36808
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2403

Complements

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

NH ≅ G/Ntype
1. #20251701C2semidirect
2. #20251685C2semidirect
3. #20251247C2semidirect
4. #20250775C2semidirect
5. #20250712C2semidirect
6. #20250667C2semidirect
7. #20250655C2semidirect
8. #20250641C2semidirect
9. #20250615C2semidirect
10. #20250387C2semidirect
11. #20250186C2semidirect
12. #20250177C2semidirect
13. #20250024C2semidirect
14. #20249775C2semidirect
15. #20249775C2semidirect
16. #20249709C2semidirect
17. #20249694C2semidirect
18. #20249610C2semidirect
19. #20249163C2semidirect
20. #20249126C2semidirect
21. #20247648C2semidirect
22. #20247513C2semidirect
23. #20247129C2semidirect
24. #20247054C2semidirect
25. #20246920C2semidirect
26. #20246762C2semidirect
27. #20246762C2semidirect
28. #20246043C2semidirect
29. #20245966C2semidirect
30. C2×#15689026C2semidirect
31. C47×#2403C2semidirect
32. C2×#13094017C22semidirect
33. C2×#13094017C22semidirect
34. C2×#13094011C22semidirect
35. C2×#13094010C22semidirect
36. C2×#13094006C22semidirect
37. C2×#13094001C22semidirect
38. C2×#13094001C22semidirect
41. C2×#13093996C22semidirect
42. C2×#13093996C22semidirect
43. C2×#13093995C22semidirect
45. C2×#13093993C22semidirect
46. C2×#13093993C22semidirect
47. C2×(C22⋊D47)⋊C4C22semidirect
48. C22×C4⋊Dic47C22semidirect
52. C22×C22⋊Dic47C22semidirect
53. C22×C22⋊Dic47C22semidirect
54. C22×C4×Dic47C22semidirect
55. #15689065C22semidirect
56. #15689063C22semidirect
57. #15689059C22semidirect
58. #15689059C22semidirect
59. #15689057C22semidirect
60. #15689051C22semidirect
61. #15689051C22semidirect
62. #15689051C22semidirect
63. #15689051C22semidirect
64. #15689051C22semidirect
65. #15689051C22semidirect
66. #15689050C22semidirect
67. #15689048C22semidirect
68. #15689048C22semidirect
69. #15689046C22semidirect
70. #15689046C22semidirect
71. #15689046C22semidirect
72. #15689046C22semidirect
73. #15689039C22semidirect
74. #15689039C22semidirect
75. #15689038C22semidirect
76. #15689038C22semidirect
79. #15689037C22semidirect
80. #15689037C22semidirect
81. #15689037C22semidirect
82. #15689037C22semidirect
83. #15689037C22semidirect
84. #15689037C22semidirect
85. #15689037C22semidirect
86. #15689037C22semidirect
87. #15689037C22semidirect
88. #15689037C22semidirect
89. #15689037C22semidirect
90. #15689035C22semidirect
91. #15689035C22semidirect
94. #15689031C22semidirect
95. #15689031C22semidirect
96. #15689031C22semidirect
97. #15689031C22semidirect
98. #15689031C22semidirect
99. #15689027C22semidirect
104. #15689026C22semidirect
105. #15689026C22semidirect
106. #15689026C22semidirect
107. #15689026C22semidirect
108. #15689026C22semidirect
109. #15689026C22semidirect
110. #15689023C22semidirect
111. #15689023C22semidirect
112. #15689023C22semidirect
113. #15689017C22semidirect
114. #15689017C22semidirect
115. #15689017C22semidirect
116. #15689017C22semidirect
117. #15689017C22semidirect
118. #15689016C22semidirect
119. #15689016C22semidirect
120. #15689016C22semidirect
121. #15689016C22semidirect
122. #15689015C22semidirect
123. #15689012C22semidirect
124. #15689011C22semidirect
125. #15689011C22semidirect
126. #15689011C22semidirect
127. #15689011C22semidirect
128. #15689011C22semidirect
129. #15689010C22semidirect
130. #15689010C22semidirect
131. #15689008C22semidirect
132. #15689008C22semidirect
133. #15689006C22semidirect
134. #15689005C22semidirect
141. #15689003C22semidirect
142. #15689003C22semidirect
143. #15689003C22semidirect
144. #15689003C22semidirect
145. #15689003C22semidirect
146. #15689003C22semidirect
147. #15689002C22semidirect
148. #15689002C22semidirect
149. #15689000C22semidirect
150. #15688999C22semidirect
151. #15688999C22semidirect
152. #15688999C22semidirect
153. #15688998C22semidirect
154. #15688998C22semidirect
155. #15688997C22semidirect
156. #15688996C22semidirect
157. #15688996C22semidirect
158. #15688995C22semidirect
159. #15688995C22semidirect
160. #15688995C22semidirect
161. #15688990C22semidirect
162. #15688987C22semidirect
163. #15688986C22semidirect
164. #15688986C22semidirect
165. #15688981C22semidirect
166. #15688981C22semidirect
167. #15688979C22semidirect
168. #15688979C22semidirect
169. #15688979C22semidirect
170. #15688979C22semidirect
171. C22⋊C4×Dic47C22semidirect
900. #2403D47semidirect
1074. C47#36808semidirect

Maximal subgroups

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

subgroupindex
#202517012
#202516852
#202512472
#202507752
#202507122
#202506672
#202506552
#202506412
#202506152
#202503872
#202501862
#202501772
#202500242
#202497752
#202497092
#202496942
#202496102
#202491632
#202491262
#202476482
#202475132
#202471292
#202470542
#202469202
#202467622
#202460432
#202459662
C2×#156890262
C47×#24032
#3680847