Finite Group Databasebeta

← #26423570

Subgroups — #26423570

Order 12032.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251677C211yesmaximal, characteristic, complemented
2#20251671C211yesmaximal, characteristic, complemented
3#20250585C211yesmaximal, characteristic, complemented
4#20250482C211yesmaximal, characteristic, complemented
5#20250476C211yesmaximal, characteristic, complemented
6#20250446C211yesmaximal, characteristic, complemented
7#20250437C211yesmaximal, characteristic, complemented
8#20250227C211yesmaximal, characteristic, complemented
9#20250026C211yesmaximal, characteristic, complemented
10#20249948C211yesmaximal, characteristic, complemented
11#20249933C211yesmaximal, characteristic, complemented
12#20249894C211yesmaximal, characteristic, complemented
13#20249827C211yesmaximal, characteristic, complemented
14#20249797C211yesmaximal, characteristic, complemented
15#20249769C211yesmaximal, characteristic, complemented
16#20249714C211yesmaximal, characteristic, complemented
17#20249636C211yesmaximal, characteristic, complemented
18#20249611C211yesmaximal, characteristic, complemented
19#20249561C211yesmaximal, characteristic, complemented
20#20249516C211yesmaximal, characteristic, complemented
21#20248939C211yesmaximal, characteristic, complemented
22#20248724C211yesmaximal, characteristic, complemented
23#20248489C211yesmaximal, characteristic, complemented
24#20248487C211yesmaximal, characteristic, complemented
25#20247591C211yesmaximal, characteristic, complemented
26#20247574C211yesmaximal, characteristic, complemented
27#20247544C211yesmaximal, characteristic, complemented
28#20247501C211yesmaximal, characteristic, complemented
29#20246153C211yesmaximal, characteristic, complemented
30#20245769C211yesmaximal, characteristic, complemented
31C47×#2335C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C2×#13094012C2211yescharacteristic
34C2×#13094012C2211yescharacteristic
35C2×#13094010C2211yescharacteristic
36C2×#13094009C2211yescharacteristic
37C2×#13094007C2211yescharacteristic
38C2×#13094006C2211yescharacteristic, complemented
39C2×#13094005C2211yescharacteristic
40C2×#13094002C2211yescharacteristic, complemented
41C2×#13093999C2211yescharacteristic
42C2×#13093999C2211yescharacteristic
43C2×#13093998C2211yescharacteristic
44C2×#13093998C2211yescharacteristic
45C2×#13093994C2211yescharacteristic
46C2×#13093994C2211yescharacteristic
47C2×#13093992C2211yescharacteristic
48C2×#13093981C2211yescharacteristic
49C2×#13093981C2211yescharacteristic
50#15689065C2211yescharacteristic, complemented
51#15689064C2211yescharacteristic, complemented
52#15689062C2211yescharacteristic, complemented
53#15689062C2211yescharacteristic, complemented
54#15689061C2211yescharacteristic, complemented
55#15689058C2211yescharacteristic, complemented
56#15689057C2211yescharacteristic, complemented
57#15689053C2211yescharacteristic, complemented
58#15689052C2211yescharacteristic
59#15689052C2211yescharacteristic
60#15689052C2211yescharacteristic
61#15689052C2211yescharacteristic
62#15689052C2211yescharacteristic, complemented
63#15689052C2211yescharacteristic, complemented
64#15689051C2211yescharacteristic, complemented
65#15689051C2211yescharacteristic, complemented
66#15689050C2211yescharacteristic, complemented
67#15689049C2211yescharacteristic
68#15689049C2211yescharacteristic, complemented
69#15689048C2211yescharacteristic, complemented
70#15689047C2211yescharacteristic, complemented
71#15689046C2211yescharacteristic
72#15689046C2211yescharacteristic
73#15689045C2211yescharacteristic
74#15689043C2211yescharacteristic, complemented
75#15689043C2211yescharacteristic, complemented
76#15689043C2211yescharacteristic, complemented
77#15689041C2211yescharacteristic
78#15689041C2211yescharacteristic
79#15689041C2211yescharacteristic
80#15689040C2211yescharacteristic
81#15689040C2211yescharacteristic
82#15689040C2211yescharacteristic, complemented
83#15689038C2211yescharacteristic
84#15689038C2211yescharacteristic
85#15689038C2211yescharacteristic
86#15689038C2211yescharacteristic, complemented
87#15689036C2211yescharacteristic
88#15689036C2211yescharacteristic, complemented
89#15689035C2211yescharacteristic
90#15689035C2211yescharacteristic
91#15689035C2211yescharacteristic, complemented
92#15689032C2211yescharacteristic
93#15689032C2211yescharacteristic
94#15689032C2211yescharacteristic
95#15689032C2211yescharacteristic, complemented
96#15689031C2211yescharacteristic
97#15689031C2211yescharacteristic
98#15689027C2211yescharacteristic, complemented
99#15689027C2211yescharacteristic, complemented
100#15689025C2211yescharacteristic
101#15689023C2211yescharacteristic
102#15689023C2211yescharacteristic
103#15689023C2211yescharacteristic
104#15689023C2211yescharacteristic, complemented
105#15689023C2211yescharacteristic, complemented
106#15689015C2211yescharacteristic
107#15689014C2211yescharacteristic
108#15689014C2211yescharacteristic
109#15689014C2211yescharacteristic
110#15689014C2211yescharacteristic, complemented
111#15689014C2211yescharacteristic, complemented
112#15689014C2211yescharacteristic, complemented
113#15689014C2211yescharacteristic, complemented
114#15689014C2211yescharacteristic, complemented
115#15689013C2211yescharacteristic
116#15689013C2211yescharacteristic, complemented
117#15689013C2211yescharacteristic, complemented
118#15689010C2211yescharacteristic, complemented
119#15689010C2211yescharacteristic, complemented
120#15689007C2211yescharacteristic, complemented
121#15689007C2211yescharacteristic, complemented
122#15689007C2211yescharacteristic, complemented
123#15689006C2211yescharacteristic, complemented
124#15689006C2211yescharacteristic, complemented
125#15689005C2211yescharacteristic, complemented
126#15689005C2211yescharacteristic, complemented
127#15689004C2211yescharacteristic, complemented
128#15689002C2211yescharacteristic, complemented
129#15689001C2211yescharacteristic
130#15689001C2211yescharacteristic
131#15689001C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689001C2211yescharacteristic, complemented
137#15689001C2211yescharacteristic, complemented
138#15689000C2211yescharacteristic
139#15689000C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic
146#15688999C2211yescharacteristic, complemented
147#15688996C2211yescharacteristic, complemented
148#15688994C2211yescharacteristic
149#15688994C2211yescharacteristic
150#15688994C2211yescharacteristic
151#15688994C2211yescharacteristic
152#15688990C2211yescharacteristic, complemented
153#15688986C2211yescharacteristic
154#15688985C2211yescharacteristic
155#15688985C2211yescharacteristic
156#15688984C2211yescharacteristic
157#15688982C2211yescharacteristic
158#15688982C2211yescharacteristic
159#15688982C2211yescharacteristic, complemented
160#15688981C2211yescharacteristic
161#15688981C2211yescharacteristic
162#15688980C2211yescharacteristic
163#15688980C2211yescharacteristic
164#15688978C2211yescharacteristic
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167C4×(C2×D47)⋊C4C2211yescharacteristic
168C4×(C2×D47)⋊C4C2211yescharacteristic
169C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
170C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
171C4×C22⋊Dic47C2211yescharacteristic
172C2×#123×C47C2211yescharacteristic
173C47×#390C2211yescharacteristic
174C47×#389C2211yescharacteristic, complemented
175C47×#388C2211yescharacteristic
176C47×#388C2211yescharacteristic
177C47×#388C2211yescharacteristic, complemented
178C47×#388C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic
182C47×#385C2211yescharacteristic, complemented
183C47×#380C2211yescharacteristic
184C4×C4⋊C4×C47C2211yescharacteristic, complemented
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C22×C4×D47—24no—
203C22×C4×D47—42no—
204C22×C4×D47—42no—
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211#13094012—42no—
212#13094012—42no—
213#13094010—42no—
214#13094009—42no—
215#13094007—42no—
216#13094006—42no—
217#13094005—42no—
218#13094002—42no—
219#13093999—42no—
220#13093999—42no—
221#13093998—24no—
222#13093998—42no—
223#13093994—42no—
224#13093994—42no—
225#13093992—42no—
226#13093981—42no—
227#13093981—42no—
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C47⋊#95C2311yescharacteristic
294C47⋊#95C2311yescharacteristic
295C47⋊#95C2311yescharacteristic
296C47⋊#95C2311yescharacteristic
297C47⋊#95C2311yescharacteristic
298C47⋊#95C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C22×D4×C47C2311yescharacteristic
328C23×C4×C47C2311yescharacteristic
329C23×C4×C47C2311yescharacteristic
330#123×C47—24no—
331C2×C4⋊C4×C47C2311yescharacteristic
332C2×C4⋊C4×C47C2311yescharacteristic
333C2×C4⋊C4×C47C2311yescharacteristic
334C2×C4⋊C4×C47C2311yescharacteristic
335C2×C4⋊C4×C47C2311yescharacteristic
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C4⋊C4×C47C2311yescharacteristic
338C2×C22⋊C4×C47C2311yescharacteristic
339C2×C22⋊C4×C47C2311yescharacteristic
340C2×C22⋊C4×C47C2311yescharacteristic
341C2×C22⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C42×C47C2311yescharacteristic
349C2×C42×C47C2311yescharacteristic
350C2×C42×C47C2311yescharacteristic
351C2×C42×C47C2311yescharacteristic
352C2×C42×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363C24×C47C2411yescharacteristic
364C24×C47C2411yescharacteristic
365C23×D47—22no—
366C23×D47—22no—
367C23×D47—22no—
368C23×D47—41no—
369C23×D47—41no—
370C23×D47—41no—
371C23×D47—41no—
372C23×D47C2411yescharacteristic
373C23×D47C2411yescharacteristic
374C23×D47C2411yescharacteristic
375C23×D47C2411yescharacteristic
376C2×D4×C47—22no—
377C2×D4×C47—41no—
378C2×D4×C47—41no—
379C22×C4×C47—41no—
380C22×C4×C47—41no—
381C22×C4×C47—41no—
382C22×C4×C47—41no—
383C22×C4×C47—41no—
384C22×C4×C47#4114yes—
385C22×C4×C47C2411yescharacteristic
386C22×C4×C47C2411yescharacteristic
387C22×C4×C47C2411yescharacteristic
388C22×C4×C47C2411yescharacteristic
389C22×C4×C47C2411yescharacteristic
390C22×C4×C47C2411yescharacteristic
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C2×C22⋊D47—22no—
399C2×C22⋊D47—22no—
400C2×C22⋊D47—22no—
401C2×C22⋊D47—22no—
402C2×C22⋊D47—41no—
403C2×C22⋊D47—41no—
404C2×C22⋊D47—41no—
405C2×C22⋊D47—41no—
406C2×C22⋊D47—41no—
407C2×C22⋊D47—41no—
408C2×C22⋊D47—41no—
409C2×C22⋊D47—41no—
410C2×C22⋊D47—41no—
411C2×C22⋊D47—41no—
412C2×C22⋊D47—41no—
413C2×C22⋊D47—41no—
414C2×C22⋊D47—41no—
415C2×C22⋊D47—41no—
416C22×Dic47—22no—
417C22×Dic47—22no—
418C22×Dic47—41no—
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C2×D188—22no—
432C2×D188—22no—
433C2×D188—22no—
434C2×D188—22no—
435C2×D188—22no—
436C2×D188—41no—
437C2×D188—41no—
438C2×D188—41no—
439C2×D188—41no—
440C2×D188—41no—
441C2×D188—41no—
442C2×D188—41no—
443C2×D188—41no—
444C2×D188—41no—
445C2×D188—41no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—416no—
455C2×C4×D47—41no—
456C2×C4×D47—41no—
457C2×C4×D47—41no—
458C2×C4×D47—41no—
459C2×C4×D47—41no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×Dic94—41no—
466C2×Dic94—41no—
467C2×Dic94—41no—
468C2×Dic94—41no—
469C2×Dic94—41no—
470C2×Dic94—41no—
471C4⋊C4×C47—22no—
472C4⋊C4×C47—22no—
473C4⋊C4×C47—41no—
474C4⋊C4×C47—41no—
475C4⋊C4×C47—41no—
476C4⋊C4×C47—41no—
477C4⋊C4×C47—41no—
478C22⋊C4×C47—22no—
479C22⋊C4×C47—22no—
480C22⋊C4×C47—22no—
481C22⋊C4×C47—41no—
482C22⋊C4×C47—41no—
483C22⋊C4×C47—41no—
484C22⋊C4×C47—41no—
485C22⋊C4×C47—41no—
486C22⋊C4×C47—41no—
487C22⋊C4×C47—41no—
488C42×C47—41no—
489C42×C47—41no—
490C42×C47—41no—
491C42×C47—41no—
492C42×C47—41no—
493C22⋊Dic47—22no—
494C22⋊Dic47—41no—
495C22⋊Dic47—41no—
496C22⋊Dic47—41no—
497C22⋊Dic47—41no—
498C22⋊Dic47—41no—
499C22⋊Dic47—41no—
500C22⋊Dic47—41no—
501(C2×D47)⋊C4—22no—
502(C2×D47)⋊C4—22no—
503(C2×D47)⋊C4—22no—
504(C2×D47)⋊C4—22no—
505(C2×D47)⋊C4—22no—
506(C2×D47)⋊C4—22no—
507(C2×D47)⋊C4—22no—
508(C2×D47)⋊C4—22no—
509(C2×D47)⋊C4—22no—
510(C2×D47)⋊C4—22no—
511(C2×D47)⋊C4—22no—
512(C2×D47)⋊C4—22no—
513(C2×D47)⋊C4—41no—
514(C2×D47)⋊C4—41no—
515(C2×D47)⋊C4—41no—
516(C2×D47)⋊C4—41no—
517(C2×D47)⋊C4—41no—
518(C2×D47)⋊C4—41no—
519(C2×D47)⋊C4—41no—
520(C2×D47)⋊C4—41no—
521(C2×D47)⋊C4—41no—
522(C2×D47)⋊C4—41no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4—41no—
537C4⋊Dic47—22no—
538C4⋊Dic47—41no—
539C4⋊Dic47—41no—
540Dic47⋊C4—22no—
541Dic47⋊C4—22no—
542Dic47⋊C4—22no—
543Dic47⋊C4—41no—
544Dic47⋊C4—41no—
545Dic47⋊C4—41no—
546Dic47⋊C4—41no—
547Dic47⋊C4—41no—
548Dic47⋊C4—41no—
549Dic47⋊C4—41no—
550Dic47⋊C4—41no—
551Dic47⋊C4—41no—
552Dic47⋊C4—41no—
553Dic47⋊C4—41no—
554C4×Dic47—41no—
555C4×Dic47—41no—
556C4×Dic47—41no—
557C4×Dic47—41no—
558C23×C47—21no—
559C23×C47—21no—
560C23×C47—21no—
561C23×C47—21no—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47C2×#4112yes—
572C23×C47C2511yescharacteristic
573C22×D47—21no—
574C22×D47—21no—
575C22×D47—21no—
576C22×D47—21no—
577C22×D47—21no—
578C22×D47—21no—
579C22×D47—21no—
580C22×D47—21no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—21no—
584C22×D47—21no—
585C22×D47—21no—
586C22×D47—21no—
587C22×D47—21no—
588C22×D47—21no—
589C22×D47—21no—
590C22×D47—21no—
591C22×D47—21no—
592C22×D47—21no—
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—44no—
600C22×D47—44no—
601C22×D47—44no—
602C22×D47—44no—
603C22×D47—44no—
604C22×D47—44no—
605C22×D47—44no—
606C22×D47H(5,𝔽2)12yes—
607C22×D47H(5,𝔽2)12yes—
608D4×C47—82no—
609C2×C4×C47—21no—
610C2×C4×C47—21no—
611C2×C4×C47—21no—
612C2×C4×C47—21no—
613C2×C4×C47—21no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—44no—
647C2×C4×C47—82no—
648C2×C4×C47C2×#4112yes—
649C2×C4×C47C2×#4112yes—
650C22⋊D47—82no—
651C22⋊D47—82no—
652C22⋊D47—82no—
653C22⋊D47—82no—
654C22⋊D47—82no—
655C22⋊D47—82no—
656C2×Dic47—21no—
657C2×Dic47—21no—
658C2×Dic47—21no—
659C2×Dic47—21no—
660C2×Dic47—21no—
661C2×Dic47—21no—
662C2×Dic47—21no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—44no—
692C2×Dic47H(5,𝔽2)12yes—
693D188—82no—
694D188—82no—
695D188—82no—
696D188—82no—
697D188—82no—
698C4×D47—28no—
699C4×D47—44no—
700C4×D47—44no—
701C4×D47—44no—
702C4×D47—82no—
703C4×D47—82no—
704Dic94—82no—
705Dic94—82no—
706#36735—471nomaximal, Sylow
707C22×C47—22no—
708C22×C47—22no—
709C22×C47—22no—
710C22×C47—41no—
711C22×C47—41no—
712C22×C47—41no—
713C22×C47—41no—
714C22×C47—41no—
715C22×C47—41no—
716C22×C47—41no—
717C22×C47—41no—
718C22×C47—41no—
719C22×C47—41no—
720C22×C47—41no—
721C22×C47C22×#4111yescharacteristic
722C22×C47C2×H(5,𝔽2)11yescharacteristic
723C22×C47C2×H(5,𝔽2)11yescharacteristic
724C22×C47C2×H(5,𝔽2)11yescharacteristic
725C22×C47#58511yescharacteristic
726C22×C47#58511yescharacteristic
727C22×C47#58511yescharacteristic
728C2×D47—22no—
729C2×D47—22no—
730C2×D47—22no—
731C2×D47—22no—
732C2×D47—22no—
733C2×D47—22no—
734C2×D47—416no—
735C2×D47—41no—
736C2×D47—41no—
737C2×D47—41no—
738C2×D47—41no—
739C2×D47—41no—
740C2×D47—41no—
741C2×D47—41no—
742C2×D47—41no—
743C2×D47—41no—
744C2×D47—41no—
745C2×D47—41no—
746C2×D47—41no—
747C2×D47—41no—
748C2×D47—41no—
749C2×D47—41no—
750C2×D47—41no—
751C2×D47—41no—
752C2×D47—41no—
753C2×D47—41no—
754C2×D47—41no—
755C2×D47—41no—
756C2×D47—41no—
757C4×C47—22no—
758C4×C47—22no—
759C4×C47—41no—
760C4×C47—41no—
761C4×C47—41no—
762C4×C47—41no—
763C4×C47—41no—
764C4×C47—41no—
765C4×C47—41no—
766C4×C47—41no—
767C4×C47—41no—
768C4×C47—41no—
769C4×C47—41no—
770Dic47—22no—
771Dic47—41no—
772Dic47—41no—
773Dic47—41no—
774Dic47—41no—
775Dic47—41no—
776Dic47—41no—
777Dic47—41no—
778Dic47—41no—
779Dic47—41no—
780Dic47—41no—
781Dic47—41no—
782#2849—471no—
783#2847—471no—
784#2747—471no—
785#2740—471no—
786#2739—471no—
787#2737—471no—
788#2737—471no—
789#2717—471no—
790#2703—471no—
791#2697—471no—
792#2696—471no—
793#2693—471no—
794#2688—471no—
795#2686—471no—
796#2684—471no—
797#2678—471no—
798#2672—471no—
799#2670—471no—
800#2665—471no—
801#2661—471no—
802#2597—471no—
803#2578—471no—
804#2557—471no—
805#2557—471no—
806#2477—471no—
807#2476—471no—
808#2474—471no—
809#2471—471no—
810#2335D4711yescharacteristic, complemented
811#2333—471no—
812#2280—471no—
813C2×C47—42no—
814C2×C47—81no—
815C2×C47#345511yescharacteristic
816C2×C47#349011yescharacteristic
817C2×C47#349411yescharacteristic
818C2×C47#353311yescharacteristic
819C2×C47#353411yescharacteristic
820C2×C47#354011yescharacteristic
821C2×C47#354211yescharacteristic
822D47—42no—
823D47—42no—
824D47—81no—
825D47—81no—
826C24×C4—471no—
827C2×#124—471no—
828C2×#124—471no—
829C2×#124—471no—
830C2×#123—471no—
831C2×#123—471no—
832C2×#123—471no—
833C2×#123—471no—
834C2×#123C2×D4711yescharacteristic
835C2×C22⋊Q8—471no—
836C2×#121—471no—
837C2×#121—471no—
838C2×#121—471no—
839C2×#121—471no—
840C2×#120—471no—
841C2×#120—471no—
842C2×#120—471no—
843C2×#117—471no—
844C2×#117—471no—
845#400—471no—
846#400—471no—
847#400—471no—
848#400—471no—
849#400—471no—
850#399—471no—
851#398—471no—
852#398—471no—
853#397—471no—
854#397—471no—
855#397—471no—
856#397—471no—
857#397—471no—
858#397—471no—
859#397—471no—
860#397—471no—
861#397—471no—
862#397—471no—
863#397—471no—
864#397—471no—
865#396—471no—
866#396—471no—
867#396—471no—
868#396—471no—
869#395—471no—
870#395—471no—
871#395—471no—
872#394—471no—
873#394—471no—
874#394—471no—
875#394—471no—
876#394—471no—
877#394—471no—
878#394—471no—
879#394—471no—
880#394—471no—
881#394—471no—
882#393—471no—
883#393—471no—
884#393—471no—
885#393—471no—
886#393—471no—
887#392—471no—
888#392—471no—
889#392—471no—
890#392—471no—
891#392—471no—
892#392—471no—
893#391—471no—
894#391—471no—
895#390—471no—
896#390—471no—
897#390—471no—
898#390—471no—
899#390—471no—
900#390—471no—
901#390C2×D4711yescharacteristic
902#389C2×D4711yescharacteristic, complemented
903#388—471no—
904#388—471no—
905#388—471no—
906#388—471no—
907#388—471no—
908#388—471no—
909#388—471no—
910#388—471no—
911#388—471no—
912#388—471no—
913#388—471no—
914#388—471no—
915#388C2×D4711yescharacteristic
916#388C2×D4711yescharacteristic
917#388C2×D4711yescharacteristic, complemented
918#388C2×D4711yescharacteristic, complemented
919#387—471no—
920#387—471no—
921#387—471no—
922#387—471no—
923#387—471no—
924#387—471no—
925#387—471no—
926#387—471no—
927#387—471no—
928#387—471no—
929#387C2×D4711yescharacteristic, complemented
930#387C2×D4711yescharacteristic, complemented
931#386—471no—
932#386—471no—
933#386—471no—
934#386—471no—
935#386—471no—
936#386—471no—
937#386—471no—
938#386—471no—
939#386—471no—
940#386—471no—
941#386—471no—
942#386—471no—
943#386—471no—
944#386—471no—
945#386—471no—
946#386—471no—
947#386—471no—
948#386—471no—
949#386—471no—
950#386C2×D4711yescharacteristic
951#385—471no—
952#385—471no—
953#385—471no—
954#385—471no—
955#385—471no—
956#385C2×D4711yescharacteristic, complemented
957#383—471no—
958#381—471no—
959#381—471no—
960#381—471no—
961#381—471no—
962#380—471no—
963#380—471no—
964#380—471no—
965#380—471no—
966#380—471no—
967#380—471no—
968#380—471no—
969#380C2×D4711yescharacteristic
970#379—471no—
971#379—471no—
972#379—471no—
973C4×C4⋊C4C2×D4711yescharacteristic, complemented
974C4×C22⋊C4—471no—
975C4×C22⋊C4—471no—
976C4×C22⋊C4—471no—
977C4×C22⋊C4—471no—
978C4×C22⋊C4—471no—
979C4×C22⋊C4C2×D4711yescharacteristic
980C4×C22⋊C4C2×D4711yescharacteristic, complemented
981C47#3673511yescharacteristic, complemented, Sylow
982C25—471no—
983C22×Q8—471no—
984C22×Q8—471no—
985C22×D4—471no—
986C22×D4—471no—
987C22×D4—471no—
988C22×D4—471no—
989C22×D4—471no—
990C22×D4—471no—
991C22×D4—471no—
992C22×D4—471no—
993C22×D4—471no—
994C22×D4—471no—
995C22×D4—471no—
996C22×D4C22×D4711yescharacteristic
997C23×C4—471no—
998C23×C4—471no—
999C23×C4—471no—
1000C23×C4—471no—
1001C23×C4—471no—
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—944no—
1005C23×C4—1882no—
1006C23×C4—1882no—
1007C23×C4C22×D4711yescharacteristic
1008C23×C4C22×D4711yescharacteristic
1009#124—1882no—
1010#124—1882no—
1011#124—1882no—
1012#123—24no—
1013#123—1882no—
1014#123—1882no—
1015#123—1882no—
1016#123—1882no—
1017C22⋊Q8—1882no—
1018#121—944no—
1019#121—1882no—
1020#121—1882no—
1021#121—1882no—
1022#120—1882no—
1023#120—1882no—
1024#120—1882no—
1025#117—1882no—
1026#117—1882no—
1027C2×C4⋊C4—471no—
1028C2×C4⋊C4—471no—
1029C2×C4⋊C4—471no—
1030C2×C4⋊C4—471no—
1031C2×C4⋊C4—471no—
1032C2×C4⋊C4—471no—
1033C2×C4⋊C4—471no—
1034C2×C4⋊C4—471no—
1035C2×C4⋊C4—471no—
1036C2×C4⋊C4—471no—
1037C2×C4⋊C4—471no—
1038C2×C4⋊C4—471no—
1039C2×C4⋊C4—471no—
1040C2×C4⋊C4—471no—
1041C2×C4⋊C4—471no—
1042C2×C4⋊C4—471no—
1043C2×C4⋊C4—471no—
1044C2×C4⋊C4C22×D4711yescharacteristic
1045C2×C4⋊C4C22×D4711yescharacteristic
1046C2×C4⋊C4C22×D4711yescharacteristic
1047C2×C4⋊C4C22×D4711yescharacteristic
1048C2×C4⋊C4C22×D4711yescharacteristic
1049C2×C4⋊C4C22×D4711yescharacteristic
1050C2×C4⋊C4C22×D4711yescharacteristic
1051C2×C22⋊C4—471no—
1052C2×C22⋊C4—471no—
1053C2×C22⋊C4—471no—
1054C2×C22⋊C4—471no—
1055C2×C22⋊C4—471no—
1056C2×C22⋊C4—471no—
1057C2×C22⋊C4—471no—
1058C2×C22⋊C4—471no—
1059C2×C22⋊C4—471no—
1060C2×C22⋊C4—471no—
1061C2×C22⋊C4—471no—
1062C2×C22⋊C4—471no—
1063C2×C22⋊C4—471no—
1064C2×C22⋊C4—471no—
1065C2×C22⋊C4—471no—
1066C2×C22⋊C4—471no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—471no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4C22×D4711yescharacteristic
1096C2×C22⋊C4C22×D4711yescharacteristic
1097C2×C22⋊C4C22×D4711yescharacteristic
1098C2×C22⋊C4C22×D4711yescharacteristic
1099C2×C22⋊C4C22×D4711yescharacteristic
1100C2×C22⋊C4C22×D4711yescharacteristic
1101C2×C22⋊C4C22×D4711yescharacteristic
1102C2×C22⋊C4C22×D4711yescharacteristic
1103C2×C22⋊C4C22×D4711yescharacteristic
1104C2×C22⋊C4C22×D4711yescharacteristic
1105C2×C42—471no—
1106C2×C42—471no—
1107C2×C42—471no—
1108C2×C42—471no—
1109C2×C42C22×D4711yescharacteristic
1110C2×C42C22×D4711yescharacteristic
1111C2×C42C22×D4711yescharacteristic
1112C2×C42C22×D4711yescharacteristic
1113C2×C42C22×D4711yescharacteristic
1114#95—471no—
1115#95—471no—
1116#95—471no—
1117#95—471no—
1118#95—471no—
1119#95—471no—
1120#95—471no—
1121#95—471no—
1122#95—471no—
1123#95—471no—
1124#95—471no—
1125#95—471no—
1126#95—471no—
1127#95—471no—
1128#95—471no—
1129#95—471no—
1130#95—471no—
1131#95—471no—
1132#95—471no—
1133#95—471no—
1134#95—471no—
1135#95—471no—
1136#95—471no—
1137#95—471no—
1138#95—471no—
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95C22×D4711yescharacteristic
1149#95C22×D4711yescharacteristic
1150#95C22×D4711yescharacteristic
1151#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156#95C22×D4711yescharacteristic
1157#95C22×D4711yescharacteristic
1158C24—471no—
1159C24—471no—
1160C24—471no—
1161C24—471no—
1162C24—942no—
1163C24—942no—
1164C24—942no—
1165C24—1881no—
1166C24—1881no—
1167C24—1881no—
1168C24—1881no—
1169C24C23×D4711yescharacteristic
1170C24C23×D4711yescharacteristic
1171C2×Q8—1881no—
1172C2×Q8—1881no—
1173C2×Q8—1881no—
1174C2×Q8—1881no—
1175C2×Q8—1881no—
1176C2×Q8—1881no—
1177C2×D4—22no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—942no—
1181C2×D4—942no—
1182C2×D4—942no—
1183C2×D4—942no—
1184C2×D4—942no—
1185C2×D4—942no—
1186C2×D4—942no—
1187C2×D4—942no—
1188C2×D4—942no—
1189C2×D4—1881no—
1190C2×D4—1881no—
1191C2×D4—1881no—
1192C2×D4—1881no—
1193C2×D4—1881no—
1194C2×D4—1881no—
1195C2×D4—1881no—
1196C2×D4—1881no—
1197C2×D4—1881no—
1198C2×D4—1881no—
1199C2×D4—1881no—
1200C2×D4—1881no—
1201C2×D4—1881no—
1202C2×D4—1881no—
1203C2×D4—1881no—
1204C2×D4—1881no—
1205C2×D4—1881no—
1206C2×D4—1881no—
1207C2×D4—1881no—
1208C2×D4—1881no—
1209C2×D4—1881no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—471no—
1219C22×C4—471no—
1220C22×C4—471no—
1221C22×C4—471no—
1222C22×C4—471no—
1223C22×C4—471no—
1224C22×C4—471no—
1225C22×C4—471no—
1226C22×C4—471no—
1227C22×C4—471no—
1228C22×C4—471no—
1229C22×C4—471no—
1230C22×C4—942no—
1231C22×C4—942no—
1232C22×C4—942no—
1233C22×C4—942no—
1234C22×C4—942no—
1235C22×C4—942no—
1236C22×C4—942no—
1237C22×C4—942no—
1238C22×C4—942no—
1239C22×C4—942no—
1240C22×C4—1881no—
1241C22×C4—1881no—
1242C22×C4—1881no—
1243C22×C4—1881no—
1244C22×C4—1881no—
1245C22×C4—1881no—
1246C22×C4—1881no—
1247C22×C4—1881no—
1248C22×C4—1881no—
1249C22×C4—1881no—
1250C22×C4—18816no—
1251C22×C4—1881no—
1252C22×C4#1062535014yes—
1253C22×C4C23×D4711yescharacteristic
1254C22×C4C23×D4711yescharacteristic
1255C22×C4C23×D4711yescharacteristic
1256C22×C4C23×D4711yescharacteristic
1257C22×C4C23×D4711yescharacteristic
1258C22×C4C23×D4711yescharacteristic
1259C22×C4C23×D4711yescharacteristic
1260C22×C4C23×D4711yescharacteristic
1261C22×C4C23×D4711yescharacteristic
1262C22×C4C23×D4711yescharacteristic
1263C22×C4C23×D4711yescharacteristic
1264C22×C4C23×D4711yescharacteristic
1265C22×C4C23×D4711yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—942no—
1274C4⋊C4—942no—
1275C4⋊C4—942no—
1276C4⋊C4—942no—
1277C4⋊C4—1881no—
1278C4⋊C4—1881no—
1279C4⋊C4—1881no—
1280C4⋊C4—1881no—
1281C4⋊C4—1881no—
1282C4⋊C4—1881no—
1283C4⋊C4—1881no—
1284C4⋊C4—1881no—
1285C4⋊C4—1881no—
1286C4⋊C4—1881no—
1287C4⋊C4—1881no—
1288C4⋊C4—1881no—
1289C4⋊C4—1881no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—942no—
1301C22⋊C4—942no—
1302C22⋊C4—942no—
1303C22⋊C4—942no—
1304C22⋊C4—942no—
1305C22⋊C4—942no—
1306C22⋊C4—942no—
1307C22⋊C4—942no—
1308C22⋊C4—942no—
1309C22⋊C4—942no—
1310C22⋊C4—942no—
1311C22⋊C4—942no—
1312C22⋊C4—942no—
1313C22⋊C4—1881no—
1314C22⋊C4—1881no—
1315C22⋊C4—1881no—
1316C22⋊C4—1881no—
1317C22⋊C4—1881no—
1318C22⋊C4—1881no—
1319C22⋊C4—1881no—
1320C22⋊C4—1881no—
1321C22⋊C4—1881no—
1322C22⋊C4—1881no—
1323C22⋊C4—1881no—
1324C22⋊C4—1881no—
1325C22⋊C4—1881no—
1326C22⋊C4—1881no—
1327C22⋊C4—1881no—
1328C22⋊C4—1881no—
1329C22⋊C4—1881no—
1330C22⋊C4—1881no—
1331C22⋊C4—1881no—
1332C22⋊C4—1881no—
1333C22⋊C4—1881no—
1334C22⋊C4—1881no—
1335C22⋊C4—1881no—
1336C22⋊C4—1881no—
1337C22⋊C4—1881no—
1338C22⋊C4—1881no—
1339C22⋊C4—1881no—
1340C22⋊C4—1881no—
1341C22⋊C4—1881no—
1342C22⋊C4—1881no—
1343C22⋊C4—1881no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—1881no—
1350C42—1881no—
1351C42—1881no—
1352C42—1881no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—472no—
1367C23—472no—
1368C23—941no—
1369C23—941no—
1370C23—941no—
1371C23—941no—
1372C23—941no—
1373C23—941no—
1374C23—941no—
1375C23—941no—
1376C23—941no—
1377C23—941no—
1378C23—941no—
1379C23—941no—
1380C23—941no—
1381C23—941no—
1382C23—941no—
1383C23—941no—
1384C23—941no—
1385C23—941no—
1386C23—941no—
1387C23—941no—
1388C23—941no—
1389C23—941no—
1390C23—941no—
1391C23—941no—
1392C23—941no—
1393C23—941no—
1394C23—1884no—
1395C23—1884no—
1396C23—1884no—
1397C23—1884no—
1398C23—1884no—
1399C23—1884no—
1400C23—1884no—
1401C23C2×#1062535012yes—
1402C23C24×D4711yescharacteristic
1403Q8—3762no—
1404Q8—3762no—
1405D4—82no—
1406D4—3762no—
1407D4—3762no—
1408D4—3762no—
1409D4—3762no—
1410D4—3762no—
1411D4—3762no—
1412D4—3762no—
1413D4—3762no—
1414D4—3762no—
1415D4—3762no—
1416D4—3762no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—44no—
1455C2×C4—82no—
1456C2×C4—472no—
1457C2×C4—948no—
1458C2×C4—941no—
1459C2×C4—941no—
1460C2×C4—941no—
1461C2×C4—941no—
1462C2×C4—941no—
1463C2×C4—941no—
1464C2×C4—941no—
1465C2×C4—941no—
1466C2×C4—941no—
1467C2×C4—941no—
1468C2×C4—941no—
1469C2×C4—941no—
1470C2×C4—941no—
1471C2×C4—941no—
1472C2×C4—941no—
1473C2×C4—941no—
1474C2×C4—941no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—941no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—3762no—
1494C2×C4—3762no—
1495C2×C4—1884no—
1496C2×C4—1884no—
1497C2×C4—1884no—
1498C2×C4—1884no—
1499C2×C4C2×#1062535012yes—
1500C2×C4C2×#1062535012yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—942no—
1516C22—942no—
1517C22—942no—
1518C22—942no—
1519C22—942no—
1520C22—942no—
1521C22—18816no—
1522C22—1881no—
1523C22—1881no—
1524C22—1881no—
1525C22—1881no—
1526C22—1881no—
1527C22—1881no—
1528C22—1881no—
1529C22—1881no—
1530C22—1881no—
1531C22—1881no—
1532C22—1881no—
1533C22—1881no—
1534C22—1881no—
1535C22—1881no—
1536C22—1881no—
1537C22—1881no—
1538C22—1881no—
1539C22—1881no—
1540C22—1881no—
1541C22—1881no—
1542C22—1881no—
1543C22—1881no—
1544C22C22×#1062535011yescharacteristic
1545C22H(5,𝔽2)×D4711yescharacteristic
1546C22H(5,𝔽2)×D4711yescharacteristic
1547C22H(5,𝔽2)×D4711yescharacteristic
1548C22#1568995911yescharacteristic
1549C22#1568995911yescharacteristic
1550C22#1568996011yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—942no—
1565C4—1881no—
1566C4—1881no—
1567C4—1881no—
1568C4—1881no—
1569C4—1881no—
1570C4—1881no—
1571C4—1881no—
1572C4—1881no—
1573C4—1881no—
1574C4—1881no—
1575C4—1881no—
1576C2—42no—
1577C2—81no—
1578C2—3761no—
1579C2—3761no—
1580C2—1882no—
1581C2—1882no—
1582C2#2025677311yescharacteristic
1583C2#2025707311yescharacteristic
1584C2#2025712411yescharacteristic
1585C2#2025756311yescharacteristic
1586C2#2025757711yescharacteristic
1587C2#2025765311yescharacteristic
1588C2#2025769511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2335C2
hypercenter#2335D47
hypocenterC47#36735
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
1. #20251677C2semidirect
2. #20251671C2semidirect
3. #20250585C2semidirect
4. #20250482C2semidirect
5. #20250476C2semidirect
6. #20250446C2semidirect
7. #20250437C2semidirect
8. #20250227C2semidirect
9. #20250026C2semidirect
10. #20249948C2semidirect
11. #20249933C2semidirect
12. #20249894C2semidirect
13. #20249827C2semidirect
14. #20249797C2semidirect
15. #20249769C2semidirect
16. #20249714C2semidirect
17. #20249636C2semidirect
18. #20249611C2semidirect
19. #20249561C2semidirect
20. #20249516C2semidirect
21. #20248939C2semidirect
22. #20248724C2semidirect
23. #20248489C2semidirect
24. #20248487C2semidirect
25. #20247591C2semidirect
26. #20247574C2semidirect
27. #20247544C2semidirect
28. #20247501C2semidirect
29. #20246153C2semidirect
30. #20245769C2semidirect
31. C47×#2335C2semidirect
38. C2×#13094006C22semidirect
40. C2×#13094002C22semidirect
50. #15689065C22semidirect
51. #15689064C22semidirect
52. #15689062C22semidirect
53. #15689062C22semidirect
54. #15689061C22semidirect
55. #15689058C22semidirect
56. #15689057C22semidirect
57. #15689053C22semidirect
62. #15689052C22semidirect
63. #15689052C22semidirect
64. #15689051C22semidirect
65. #15689051C22semidirect
66. #15689050C22semidirect
68. #15689049C22semidirect
69. #15689048C22semidirect
70. #15689047C22semidirect
74. #15689043C22semidirect
75. #15689043C22semidirect
76. #15689043C22semidirect
82. #15689040C22semidirect
86. #15689038C22semidirect
88. #15689036C22semidirect
91. #15689035C22semidirect
95. #15689032C22semidirect
98. #15689027C22semidirect
99. #15689027C22semidirect
104. #15689023C22semidirect
105. #15689023C22semidirect
110. #15689014C22semidirect
111. #15689014C22semidirect
112. #15689014C22semidirect
113. #15689014C22semidirect
114. #15689014C22semidirect
116. #15689013C22semidirect
117. #15689013C22semidirect
118. #15689010C22semidirect
119. #15689010C22semidirect
120. #15689007C22semidirect
121. #15689007C22semidirect
122. #15689007C22semidirect
123. #15689006C22semidirect
124. #15689006C22semidirect
125. #15689005C22semidirect
126. #15689005C22semidirect
127. #15689004C22semidirect
128. #15689002C22semidirect
136. #15689001C22semidirect
137. #15689001C22semidirect
146. #15688999C22semidirect
147. #15688996C22semidirect
152. #15688990C22semidirect
159. #15688982C22semidirect
169. C4×(C2×D47)⋊C4C22semidirect
170. C4×(C2×D47)⋊C4C22semidirect
174. C47×#389C22semidirect
177. C47×#388C22semidirect
178. C47×#388C22semidirect
179. C47×#387C22semidirect
180. C47×#387C22semidirect
182. C47×#385C22semidirect
184. C4×C4⋊C4×C47C22semidirect
186. C4×C22⋊C4×C47C22semidirect
810. #2335D47semidirect
902. #389C2×D47semidirect
917. #388C2×D47semidirect
918. #388C2×D47semidirect
929. #387C2×D47semidirect
930. #387C2×D47semidirect
956. #385C2×D47semidirect
973. C4×C4⋊C4C2×D47semidirect
980. C4×C22⋊C4C2×D47semidirect
981. C47#36735semidirect

Maximal subgroups

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

subgroupindex
#202516772
#202516712
#202505852
#202504822
#202504762
#202504462
#202504372
#202502272
#202500262
#202499482
#202499332
#202498942
#202498272
#202497972
#202497692
#202497142
#202496362
#202496112
#202495612
#202495162
#202489392
#202487242
#202484892
#202484872
#202475912
#202475742
#202475442
#202475012
#202461532
#202457692
C47×#23352
#3673547