Finite Group Databasebeta

← #26424609

Subgroups — #26424609

Order 12032.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251683C211yesmaximal, characteristic, complemented
2#20251669C211yesmaximal, characteristic, complemented
3#20251013C211yesmaximal, characteristic, complemented
4#20251005C211yesmaximal, characteristic, complemented
5#20250766C211yesmaximal, characteristic, complemented
6#20250631C211yesmaximal, characteristic, complemented
7#20250618C211yesmaximal, characteristic, complemented
8#20250610C211yesmaximal, characteristic, complemented
9#20250520C211yesmaximal, characteristic, complemented
10#20250030C211yesmaximal, characteristic, complemented
11#20249946C211yesmaximal, characteristic, complemented
12#20249931C211yesmaximal, characteristic, complemented
13#20249831C211yesmaximal, characteristic, complemented
14#20249829C211yesmaximal, characteristic, complemented
15#20249770C211yesmaximal, characteristic, complemented
16#20249712C211yesmaximal, characteristic, complemented
17#20249695C211yesmaximal, characteristic, complemented
18#20249598C211yesmaximal, characteristic, complemented
19#20249316C211yesmaximal, characteristic, complemented
20#20247954C211yesmaximal, characteristic, complemented
21#20247519C211yesmaximal, characteristic, complemented
22#20247144C211yesmaximal, characteristic, complemented
23#20247053C211yesmaximal, characteristic, complemented
24#20246922C211yesmaximal, characteristic, complemented
25#20246761C211yesmaximal, characteristic, complemented
26#20246760C211yesmaximal, characteristic, complemented
27#20246700C211yesmaximal, characteristic, complemented
28#20246045C211yesmaximal, characteristic, complemented
29#20245962C211yesmaximal, characteristic, complemented
30C2×#15689001C211yesmaximal, characteristic, complemented
31C47×#2643C211yesmaximal, characteristic, complemented
32C23×D188C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic, complemented
35C2×#13094010C2211yescharacteristic, complemented
36C2×#13094009C2211yescharacteristic, complemented
37C2×#13094009C2211yescharacteristic, complemented
38C2×#13094003C2211yescharacteristic, complemented
39C2×#13094002C2211yescharacteristic, complemented
40C2×#13093999C2211yescharacteristic, complemented
41C2×#13093999C2211yescharacteristic, complemented
42C2×#13093999C2211yescharacteristic, complemented
43C2×#13093998C2211yescharacteristic
44C2×#13093997C2211yescharacteristic, complemented
45C2×#13093997C2211yescharacteristic, complemented
46C2×#13093996C2211yescharacteristic
47C2×#13093994C2211yescharacteristic
48C2×#13093994C2211yescharacteristic
49C2×#13093994C2211yescharacteristic
50C2×#13093994C2211yescharacteristic
51C2×#13093994C2211yescharacteristic, complemented
52C2×#13093994C2211yescharacteristic, complemented
53C2×#13093992C2211yescharacteristic
54C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
55C22×(C2×D47)⋊C4C2211yescharacteristic
56C22×(C2×D47)⋊C4C2211yescharacteristic
57C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
58C2×C22⋊C4×D47C2211yescharacteristic
59C47⋊#401C2211yescharacteristic, complemented
60#15689064C2211yescharacteristic, complemented
61#15689063C2211yescharacteristic, complemented
62#15689063C2211yescharacteristic, complemented
63#15689061C2211yescharacteristic, complemented
64#15689058C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic, complemented
66#15689052C2211yescharacteristic, complemented
67#15689052C2211yescharacteristic, complemented
68#15689051C2211yescharacteristic, complemented
69#15689050C2211yescharacteristic, complemented
70#15689050C2211yescharacteristic, complemented
71#15689049C2211yescharacteristic, complemented
72#15689047C2211yescharacteristic, complemented
73#15689045C2211yescharacteristic, complemented
74#15689045C2211yescharacteristic, complemented
75#15689041C2211yescharacteristic, complemented
76#15689041C2211yescharacteristic, complemented
77#15689041C2211yescharacteristic, complemented
78#15689041C2211yescharacteristic, complemented
79#15689040C2211yescharacteristic
80#15689040C2211yescharacteristic
81#15689040C2211yescharacteristic, complemented
82#15689039C2211yescharacteristic, complemented
83#15689039C2211yescharacteristic, complemented
84#15689038C2211yescharacteristic, complemented
85#15689038C2211yescharacteristic, complemented
86#15689036C2211yescharacteristic, complemented
87#15689036C2211yescharacteristic, complemented
88#15689036C2211yescharacteristic, complemented
89#15689036C2211yescharacteristic, complemented
90#15689033C2211yescharacteristic
91#15689033C2211yescharacteristic
92#15689033C2211yescharacteristic
93#15689033C2211yescharacteristic
94#15689033C2211yescharacteristic, complemented
95#15689033C2211yescharacteristic, complemented
96#15689032C2211yescharacteristic
97#15689032C2211yescharacteristic
98#15689032C2211yescharacteristic, complemented
99#15689024C2211yescharacteristic, complemented
100#15689024C2211yescharacteristic, complemented
101#15689024C2211yescharacteristic, complemented
102#15689023C2211yescharacteristic, complemented
103#15689017C2211yescharacteristic, complemented
104#15689015C2211yescharacteristic, complemented
105#15689015C2211yescharacteristic, complemented
106#15689013C2211yescharacteristic, complemented
107#15689013C2211yescharacteristic, complemented
108#15689013C2211yescharacteristic, complemented
109#15689012C2211yescharacteristic, complemented
110#15689012C2211yescharacteristic, complemented
111#15689012C2211yescharacteristic, complemented
112#15689012C2211yescharacteristic, complemented
113#15689005C2211yescharacteristic, complemented
114#15689004C2211yescharacteristic, complemented
115#15689003C2211yescharacteristic
116#15689002C2211yescharacteristic
117#15689002C2211yescharacteristic
118#15689002C2211yescharacteristic, complemented
119#15689002C2211yescharacteristic, complemented
120#15689001C2211yescharacteristic
121#15689001C2211yescharacteristic
122#15689001C2211yescharacteristic
123#15689001C2211yescharacteristic
124#15689001C2211yescharacteristic
125#15689001C2211yescharacteristic
126#15689001C2211yescharacteristic, complemented
127#15689001C2211yescharacteristic, complemented
128#15689001C2211yescharacteristic, complemented
129#15689001C2211yescharacteristic, complemented
130#15689001C2211yescharacteristic, complemented
131#15689001C2211yescharacteristic, complemented
132#15689001C2211yescharacteristic, complemented
133#15689001C2211yescharacteristic, complemented
134#15689001C2211yescharacteristic, complemented
135#15689001C2211yescharacteristic, complemented
136#15689001C2211yescharacteristic, complemented
137#15689001C2211yescharacteristic, complemented
138#15689001C2211yescharacteristic, complemented
139#15689001C2211yescharacteristic, complemented
140#15689001C2211yescharacteristic, complemented
141#15689001C2211yescharacteristic, complemented
142#15689000C2211yescharacteristic
143#15689000C2211yescharacteristic
144#15688999C2211yescharacteristic, complemented
145#15688999C2211yescharacteristic, complemented
146#15688999C2211yescharacteristic, complemented
147#15688999C2211yescharacteristic, complemented
148#15688999C2211yescharacteristic, complemented
149#15688997C2211yescharacteristic, complemented
150#15688997C2211yescharacteristic, complemented
151#15688995C2211yescharacteristic, complemented
152#15688994C2211yescharacteristic, complemented
153#15688994C2211yescharacteristic, complemented
154#15688994C2211yescharacteristic, complemented
155#15688990C2211yescharacteristic, complemented
156#15688985C2211yescharacteristic, complemented
157#15688985C2211yescharacteristic, complemented
158#15688985C2211yescharacteristic, complemented
159#15688985C2211yescharacteristic, complemented
160#15688985C2211yescharacteristic, complemented
161#15688982C2211yescharacteristic, complemented
162#15688982C2211yescharacteristic, complemented
163#15688982C2211yescharacteristic, complemented
164#15688981C2211yescharacteristic, complemented
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic, complemented
167#15688978C2211yescharacteristic, complemented
168#15688978C2211yescharacteristic, complemented
169#15688978C2211yescharacteristic, complemented
170C22⋊C4×Dic47C2211yescharacteristic, complemented
171C2×C47⋊#95C2211yescharacteristic, complemented
172C47×#401C2211yescharacteristic, complemented
173C47×#400C2211yescharacteristic, complemented
174C47×#400C2211yescharacteristic, complemented
175C47×#400C2211yescharacteristic, complemented
176C47×#397C2211yescharacteristic, complemented
177C47×#397C2211yescharacteristic, complemented
178C47×#397C2211yescharacteristic, complemented
179C47×#396C2211yescharacteristic, complemented
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#385C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic, complemented
185C47×#385C2211yescharacteristic, complemented
186C2×#95×C47C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×D188—24no—
192C22×D188—42no—
193C22×D188—42no—
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×D188C2311yescharacteristic
201C22×D188C2311yescharacteristic
202C22×D188C2311yescharacteristic
203C22×D188C2311yescharacteristic
204C22×D188C2311yescharacteristic
205C22×D188C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C22×C22⋊D47C2311yescharacteristic
210C22×C22⋊D47C2311yescharacteristic
211C22×C22⋊D47C2311yescharacteristic
212C2×D4×D47—24no—
213C2×D4×D47—42no—
214C2×D4×D47—42no—
215C23×Dic47C2311yescharacteristic
216C23×Dic47C2311yescharacteristic
217C22×C4×D47—42no—
218C22×C4×D47—42no—
219C22×C4×D47—42no—
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226C22×C4×D47C2311yescharacteristic
227C22×C4×D47C2311yescharacteristic
228#13094010—42no—
229#13094009—42no—
230#13094009—42no—
231#13094003—42no—
232#13094002—42no—
233#13093999—42no—
234#13093999—42no—
235#13093999—42no—
236#13093998—42no—
237#13093997—42no—
238#13093997—42no—
239#13093996—42no—
240#13093994—24no—
241#13093994—42no—
242#13093994—42no—
243#13093994—42no—
244#13093994—42no—
245#13093994—42no—
246#13093992—42no—
247(C22⋊D47)⋊C4—42no—
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×(C2×D47)⋊C4—42no—
264C2×(C2×D47)⋊C4—42no—
265C2×(C2×D47)⋊C4—42no—
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×(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×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C22⋊C4×D47—42no—
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
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
340C22×D4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343C23×C4×C47C2311yescharacteristic
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375C24×C47C2411yescharacteristic
376C24×C47C2411yescharacteristic
377C23×D47—22no—
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—22no—
382C23×D47—22no—
383C23×D47—22no—
384C23×D47—22no—
385C23×D47—41no—
386C23×D47—41no—
387C23×D47—41no—
388C23×D47—41no—
389C23×D47—41no—
390C23×D47—41no—
391C23×D47—41no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47—41no—
395C23×D47—41no—
396C23×D47—41no—
397C23×D47#4114yes—
398C23×D47C2411yescharacteristic
399C23×D47C2411yescharacteristic
400C23×D47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C2×D4×C47—22no—
405C2×D4×C47—22no—
406C2×D4×C47—22no—
407C22×C4×C47—22no—
408C22×C4×C47—22no—
409C22×C4×C47—22no—
410C22×C4×C47—41no—
411C22×C4×C47—41no—
412C22×C4×C47—41no—
413C22×C4×C47—41no—
414C22×C4×C47—41no—
415C22×C4×C47—41no—
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C2×C22⋊D47—22no—
430C2×C22⋊D47—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—22no—
436C2×C22⋊D47—22no—
437C2×C22⋊D47—22no—
438C2×C22⋊D47—22no—
439C2×C22⋊D47—41no—
440C2×C22⋊D47—41no—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47—41no—
447C22×Dic47—22no—
448C22×Dic47—22no—
449C22×Dic47—22no—
450C22×Dic47—41no—
451C22×Dic47—41no—
452C22×Dic47—41no—
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463D4×D47—416no—
464C2×D188—22no—
465C2×D188—22no—
466C2×D188—22no—
467C2×D188—22no—
468C2×D188—22no—
469C2×D188—22no—
470C2×D188—22no—
471C2×D188—22no—
472C2×D188—22no—
473C2×D188—22no—
474C2×D188—22no—
475C2×D188—22no—
476C2×D188—22no—
477C2×D188—22no—
478C2×D188—22no—
479C2×D188—41no—
480C2×D188—41no—
481C2×D188—41no—
482C2×D188—41no—
483C2×D188—41no—
484C2×D188—41no—
485C2×D188—416no—
486C2×D188—41no—
487C2×D188—41no—
488C2×D188—41no—
489C2×D188—41no—
490C2×D188—41no—
491C2×D188—41no—
492C2×D188—41no—
493C2×D188—41no—
494C2×D188—41no—
495C2×D188—41no—
496C2×D188—41no—
497C2×D188—41no—
498C2×D188—41no—
499C2×D188—41no—
500C2×D188—41no—
501C2×C4×D47—22no—
502C2×C4×D47—22no—
503C2×C4×D47—22no—
504C2×C4×D47—22no—
505C2×C4×D47—22no—
506C2×C4×D47—41no—
507C2×C4×D47—41no—
508C2×C4×D47—41no—
509C2×C4×D47—41no—
510C2×C4×D47—41no—
511C2×C4×D47—41no—
512C2×C4×D47—41no—
513C2×C4×D47—41no—
514C2×C4×D47—41no—
515C2×C4×D47—41no—
516C2×C4×D47—416no—
517C2×C4×D47—41no—
518C2×C4×D47—41no—
519C2×C4×D47—41no—
520C2×C4×D47—41no—
521C2×C4×D47—41no—
522C2×C4×D47—41no—
523C2×C4×D47—41no—
524C2×C4×D47—41no—
525C2×C4×D47—41no—
526C2×Dic94—41no—
527C2×Dic94—41no—
528C2×Dic94—41no—
529C4⋊C4×C47—41no—
530C4⋊C4×C47—41no—
531C4⋊C4×C47—41no—
532C4⋊C4×C47—41no—
533C4⋊C4×C47—41no—
534C4⋊C4×C47—41no—
535C22⋊C4×C47—22no—
536C22⋊C4×C47—22no—
537C22⋊C4×C47—22no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47—41no—
540C22⋊C4×C47—41no—
541C22⋊C4×C47—41no—
542C22⋊C4×C47—41no—
543C22⋊C4×C47—41no—
544C22⋊Dic47—22no—
545C22⋊Dic47—22no—
546C22⋊Dic47—41no—
547C22⋊Dic47—41no—
548C22⋊Dic47—41no—
549(C2×D47)⋊C4—22no—
550(C2×D47)⋊C4—22no—
551(C2×D47)⋊C4—22no—
552(C2×D47)⋊C4—22no—
553(C2×D47)⋊C4—22no—
554(C2×D47)⋊C4—22no—
555(C2×D47)⋊C4—22no—
556(C2×D47)⋊C4—22no—
557(C2×D47)⋊C4—22no—
558(C2×D47)⋊C4—41no—
559(C2×D47)⋊C4—41no—
560(C2×D47)⋊C4—41no—
561(C2×D47)⋊C4—41no—
562(C2×D47)⋊C4—41no—
563(C2×D47)⋊C4—41no—
564(C2×D47)⋊C4—41no—
565(C2×D47)⋊C4—41no—
566(C2×D47)⋊C4—41no—
567(C2×D47)⋊C4—41no—
568(C2×D47)⋊C4—41no—
569(C2×D47)⋊C4—41no—
570(C2×D47)⋊C4—41no—
571(C2×D47)⋊C4—41no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
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—
580(C2×D47)⋊C4—41no—
581(C2×D47)⋊C4—41no—
582(C2×D47)⋊C4—41no—
583(C2×D47)⋊C4—41no—
584(C2×D47)⋊C4—41no—
585(C2×D47)⋊C4—41no—
586(C2×D47)⋊C4—41no—
587(C2×D47)⋊C4—41no—
588(C2×D47)⋊C4—41no—
589(C2×D47)⋊C4—41no—
590(C2×D47)⋊C4—41no—
591(C2×D47)⋊C4—41no—
592(C2×D47)⋊C4—41no—
593(C2×D47)⋊C4—41no—
594(C2×D47)⋊C4—41no—
595C4⋊Dic47—41no—
596C4⋊Dic47—41no—
597Dic47⋊C4—22no—
598Dic47⋊C4—22no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601Dic47⋊C4—41no—
602Dic47⋊C4—41no—
603Dic47⋊C4—41no—
604Dic47⋊C4—41no—
605C4×Dic47—41no—
606C4×Dic47—41no—
607C4×Dic47—41no—
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×C47C2×#4112yes—
620C23×C47H(5,𝔽2)12yes—
621C23×C47H(5,𝔽2)12yes—
622C23×C47C2511yescharacteristic
623C22×D47—28no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—21no—
639C22×D47—21no—
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47—21no—
647C22×D47—21no—
648C22×D47—28no—
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—21no—
653C22×D47—21no—
654C22×D47—21no—
655C22×D47—21no—
656C22×D47—21no—
657C22×D47—21no—
658C22×D47—21no—
659C22×D47—21no—
660C22×D47—21no—
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—44no—
664C22×D47—44no—
665C22×D47—44no—
666C22×D47—44no—
667C22×D47—44no—
668C22×D47—44no—
669C22×D47—44no—
670C22×D47—44no—
671C22×D47—44no—
672C22×D47—82no—
673C22×D47—82no—
674C22×D47—82no—
675C22×D47—82no—
676C22×D47—82no—
677C22×D47—82no—
678C22×D47—82no—
679C22×D47—82no—
680C22×D47—82no—
681C22×D47—82no—
682C22×D47C2×#4112yes—
683C22×D47C2×#4112yes—
684C22×D47H(5,𝔽2)12yes—
685C22×D47H(5,𝔽2)12yes—
686D4×C47—44no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
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—21no—
721C2×C4×C47—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—21no—
725C2×C4×C47—21no—
726C2×C4×C47—44no—
727C2×C4×C47—44no—
728C2×C4×C47—82no—
729C22⋊D47—44no—
730C22⋊D47—44no—
731C22⋊D47—44no—
732C22⋊D47—82no—
733C22⋊D47—82no—
734C22⋊D47—82no—
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—44no—
765C2×Dic47—82no—
766C2×Dic47H(5,𝔽2)12yes—
767D188—44no—
768D188—44no—
769D188—44no—
770D188—44no—
771D188—44no—
772D188—82no—
773D188—82no—
774D188—82no—
775D188—82no—
776D188—82no—
777D188—82no—
778D188—82no—
779C4×D47—44no—
780C4×D47—44no—
781C4×D47—44no—
782C4×D47—44no—
783C4×D47—44no—
784C4×D47—82no—
785C4×D47—82no—
786C4×D47—82no—
787Dic94—82no—
788#36776—471nomaximal, Sylow
789C22×C47—22no—
790C22×C47—22no—
791C22×C47—22no—
792C22×C47—22no—
793C22×C47—22no—
794C22×C47—22no—
795C22×C47—41no—
796C22×C47—41no—
797C22×C47—41no—
798C22×C47—41no—
799C22×C47—41no—
800C22×C47—41no—
801C22×C47—41no—
802C22×C47#53814yes—
803C22×C47C22×#4111yescharacteristic
804C22×C47C2×H(5,𝔽2)11yescharacteristic
805C22×C47C2×H(5,𝔽2)11yescharacteristic
806C22×C47C2×H(5,𝔽2)11yescharacteristic
807C22×C47C2×H(5,𝔽2)11yescharacteristic
808C22×C47C2×H(5,𝔽2)11yescharacteristic
809C22×C47#58511yescharacteristic
810C2×D47—22no—
811C2×D47—22no—
812C2×D47—22no—
813C2×D47—22no—
814C2×D47—22no—
815C2×D47—22no—
816C2×D47—22no—
817C2×D47—22no—
818C2×D47—22no—
819C2×D47—22no—
820C2×D47—22no—
821C2×D47—22no—
822C2×D47—416no—
823C2×D47—41no—
824C2×D47—41no—
825C2×D47—41no—
826C2×D47—41no—
827C2×D47—41no—
828C2×D47—41no—
829C2×D47—41no—
830C2×D47—41no—
831C2×D47—41no—
832C2×D47—41no—
833C2×D47—41no—
834C2×D47—41no—
835C2×D47—41no—
836C2×D47—41no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47—41no—
840C2×D47—41no—
841C2×D47—41no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—88no—
854C2×D47—88no—
855C4×C47—41no—
856C4×C47—41no—
857C4×C47—41no—
858C4×C47—41no—
859C4×C47—41no—
860C4×C47—41no—
861C4×C47—41no—
862C4×C47—41no—
863C4×C47—41no—
864C4×C47—41no—
865C4×C47—41no—
866C4×C47—41no—
867C4×C47—41no—
868Dic47—22no—
869Dic47—41no—
870Dic47—41no—
871Dic47—41no—
872Dic47—41no—
873Dic47—41no—
874Dic47—41no—
875Dic47—41no—
876Dic47—41no—
877Dic47—41no—
878#2849—471no—
879#2847—471no—
880#2778—471no—
881#2778—471no—
882#2760—471no—
883#2750—471no—
884#2749—471no—
885#2749—471no—
886#2743—471no—
887#2703—471no—
888#2697—471no—
889#2696—471no—
890#2688—471no—
891#2688—471no—
892#2684—471no—
893#2678—471no—
894#2676—471no—
895#2668—471no—
896#2643D4711yescharacteristic, complemented
897#2639—471no—
898#2510—471no—
899#2472—471no—
900#2444—471no—
901#2437—471no—
902#2424—471no—
903#2410—471no—
904#2410—471no—
905#2403—471no—
906#2321—471no—
907#2308—471no—
908C2×#386—471no—
909C2×C47—24no—
910C2×C47—81no—
911C2×C47C2×#53811yescharacteristic
912C2×C47#349011yescharacteristic
913C2×C47#350511yescharacteristic
914C2×C47#353211yescharacteristic
915C2×C47#353411yescharacteristic
916C2×C47#353411yescharacteristic
917C2×C47#353711yescharacteristic
918D47—42no—
919D47—42no—
920D47—42no—
921D47—42no—
922D47—81no—
923D47—81no—
924C23×D4—471no—
925C23×D4—471no—
926C24×C4—471no—
927C2×#124—471no—
928C2×#123—471no—
929C2×#123—471no—
930C2×C22⋊Q8—471no—
931C2×C22⋊Q8—471no—
932C2×#121—471no—
933C2×#121—471no—
934C2×#121—471no—
935C2×#121—471no—
936C2×#121—471no—
937C2×#121—471no—
938C2×#121—471no—
939C2×#120—471no—
940C2×#120—471no—
941C2×#120—471no—
942C2×#120—471no—
943C2×#120—471no—
944C2×#120—471no—
945C2×#120—471no—
946C2×C4×D4—471no—
947C22×C22⋊C4—471no—
948C22×C22⋊C4—471no—
949C22×C22⋊C4—471no—
950C22×C22⋊C4—471no—
951#401—471no—
952#401C2×D4711yescharacteristic, complemented
953#400—471no—
954#400—471no—
955#400—471no—
956#400—471no—
957#400C2×D4711yescharacteristic, complemented
958#400C2×D4711yescharacteristic, complemented
959#400C2×D4711yescharacteristic, complemented
960#399—471no—
961#397—471no—
962#397—471no—
963#397—471no—
964#397—471no—
965#397—471no—
966#397—471no—
967#397—471no—
968#397C2×D4711yescharacteristic, complemented
969#397C2×D4711yescharacteristic, complemented
970#397C2×D4711yescharacteristic, complemented
971#396—471no—
972#396—471no—
973#396—471no—
974#396C2×D4711yescharacteristic, complemented
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#394—471no—
984#394—471no—
985#394—471no—
986#393—471no—
987#393—471no—
988#393—471no—
989#393—471no—
990#392—471no—
991#392—471no—
992#392—471no—
993#392—471no—
994#392—471no—
995#392—471no—
996#392—471no—
997#392—471no—
998#392—471no—
999#390—471no—
1000#390—471no—
1001#390—471no—
1002#390—471no—
1003#388—471no—
1004#388—471no—
1005#388—471no—
1006#388—471no—
1007#388—471no—
1008#388—471no—
1009#388—471no—
1010#388—471no—
1011#388—471no—
1012#388—471no—
1013#387—471no—
1014#387—471no—
1015#386—471no—
1016#386—471no—
1017#386—471no—
1018#386—471no—
1019#386—471no—
1020#386—471no—
1021#386—471no—
1022#386—471no—
1023#386—471no—
1024#386—471no—
1025#386—471no—
1026#386—471no—
1027#386—471no—
1028#386—471no—
1029#386—471no—
1030#386—471no—
1031#386—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#386C2×D4711yescharacteristic
1050#386C2×D4711yescharacteristic
1051#386C2×D4711yescharacteristic
1052#385—471no—
1053#385—471no—
1054#385—471no—
1055#385—471no—
1056#385—471no—
1057#385—471no—
1058#385C2×D4711yescharacteristic, complemented
1059#385C2×D4711yescharacteristic, complemented
1060#385C2×D4711yescharacteristic, complemented
1061#383—471no—
1062#381—471no—
1063#381—471no—
1064#381—471no—
1065#381—471no—
1066#381—471no—
1067#380—471no—
1068#380—471no—
1069#380—471no—
1070#380—471no—
1071#379—471no—
1072#379—471no—
1073#379—471no—
1074#379—471no—
1075#379—471no—
1076C4×C22⋊C4—471no—
1077C2×#95—471no—
1078C2×#95C2×D4711yescharacteristic, complemented
1079C47#3677611yescharacteristic, complemented, Sylow
1080C25—471no—
1081C25—471no—
1082C25—471no—
1083C22×Q8—471no—
1084C22×D4—471no—
1085C22×D4—471no—
1086C22×D4—471no—
1087C22×D4—471no—
1088C22×D4—471no—
1089C22×D4—471no—
1090C22×D4—471no—
1091C22×D4—471no—
1092C22×D4—471no—
1093C22×D4—471no—
1094C22×D4—471no—
1095C22×D4—471no—
1096C22×D4—471no—
1097C22×D4—471no—
1098C22×D4—471no—
1099C22×D4—471no—
1100C22×D4—471no—
1101C22×D4—471no—
1102C22×D4—944no—
1103C22×D4—944no—
1104C22×D4—1882no—
1105C22×D4—1882no—
1106C22×D4—1882no—
1107C22×D4—1882no—
1108C22×D4C22×D4711yescharacteristic
1109C23×C4—471no—
1110C23×C4—471no—
1111C23×C4—471no—
1112C23×C4—471no—
1113C23×C4—471no—
1114C23×C4—471no—
1115C23×C4—471no—
1116C23×C4—471no—
1117C23×C4—471no—
1118C23×C4—471no—
1119C23×C4—1882no—
1120C23×C4—1882no—
1121C23×C4—1882no—
1122C23×C4C22×D4711yescharacteristic
1123C23×C4C22×D4711yescharacteristic
1124C23×C4C22×D4711yescharacteristic
1125#124—1882no—
1126#123—1882no—
1127#123—1882no—
1128C22⋊Q8—1882no—
1129C22⋊Q8—1882no—
1130#121—1882no—
1131#121—1882no—
1132#121—1882no—
1133#121—1882no—
1134#121—1882no—
1135#121—1882no—
1136#121—1882no—
1137#120—944no—
1138#120—1882no—
1139#120—1882no—
1140#120—1882no—
1141#120—1882no—
1142#120—1882no—
1143#120—1882no—
1144C4×D4—1882no—
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—471no—
1154C2×C4⋊C4—471no—
1155C2×C4⋊C4C22×D4711yescharacteristic
1156C2×C4⋊C4C22×D4711yescharacteristic
1157C2×C4⋊C4C22×D4711yescharacteristic
1158C2×C4⋊C4C22×D4711yescharacteristic
1159C2×C4⋊C4C22×D4711yescharacteristic
1160C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
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—1882no—
1213C2×C22⋊C4—1882no—
1214C2×C22⋊C4—1882no—
1215C2×C22⋊C4—1882no—
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×C22⋊C4C22×D4711yescharacteristic
1224C2×C22⋊C4C22×D4711yescharacteristic
1225C2×C42—471no—
1226C2×C42—471no—
1227C2×C42—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
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#95C22×D4711yescharacteristic
1253#95C22×D4711yescharacteristic
1254#95C22×D4711yescharacteristic
1255#95C22×D4711yescharacteristic
1256#95C22×D4711yescharacteristic
1257#95C22×D4711yescharacteristic
1258#95C22×D4711yescharacteristic
1259#95C22×D4711yescharacteristic
1260#95C22×D4711yescharacteristic
1261#95C22×D4711yescharacteristic
1262#95C22×D4711yescharacteristic
1263#95C22×D4711yescharacteristic
1264#95C22×D4711yescharacteristic
1265#95C22×D4711yescharacteristic
1266#95C22×D4711yescharacteristic
1267#95C22×D4711yescharacteristic
1268C24—471no—
1269C24—471no—
1270C24—471no—
1271C24—471no—
1272C24—474no—
1273C24—471no—
1274C24—471no—
1275C24—942no—
1276C24—942no—
1277C24—942no—
1278C24—942no—
1279C24—942no—
1280C24—942no—
1281C24—942no—
1282C24—942no—
1283C24—1881no—
1284C24—1881no—
1285C24—1881no—
1286C24—1881no—
1287C24—1881no—
1288C24—1881no—
1289C24—1881no—
1290C24—1881no—
1291C24—1881no—
1292C24—1881no—
1293C24—1881no—
1294C24—1881no—
1295C24C23×D4711yescharacteristic
1296C24C23×D4711yescharacteristic
1297C2×Q8—1881no—
1298C2×Q8—1881no—
1299C2×Q8—1881no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—942no—
1304C2×D4—942no—
1305C2×D4—942no—
1306C2×D4—942no—
1307C2×D4—942no—
1308C2×D4—942no—
1309C2×D4—942no—
1310C2×D4—942no—
1311C2×D4—942no—
1312C2×D4—942no—
1313C2×D4—942no—
1314C2×D4—942no—
1315C2×D4—942no—
1316C2×D4—942no—
1317C2×D4—942no—
1318C2×D4—942no—
1319C2×D4—942no—
1320C2×D4—942no—
1321C2×D4—942no—
1322C2×D4—942no—
1323C2×D4—942no—
1324C2×D4—942no—
1325C2×D4—942no—
1326C2×D4—942no—
1327C2×D4—942no—
1328C2×D4—1881no—
1329C2×D4—1881no—
1330C2×D4—1881no—
1331C2×D4—1881no—
1332C2×D4—1881no—
1333C2×D4—1881no—
1334C2×D4—1881no—
1335C2×D4—1881no—
1336C2×D4—1881no—
1337C2×D4—1881no—
1338C2×D4—1881no—
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—18816no—
1350C2×D4—1881no—
1351C2×D4—1881no—
1352C2×D4—1881no—
1353C2×D4—1881no—
1354C2×D4—1881no—
1355C2×D4—1881no—
1356C2×D4—1881no—
1357C2×D4—1881no—
1358C2×D4—18816no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—471no—
1369C22×C4—471no—
1370C22×C4—471no—
1371C22×C4—471no—
1372C22×C4—471no—
1373C22×C4—471no—
1374C22×C4—471no—
1375C22×C4—471no—
1376C22×C4—471no—
1377C22×C4—471no—
1378C22×C4—942no—
1379C22×C4—942no—
1380C22×C4—942no—
1381C22×C4—942no—
1382C22×C4—942no—
1383C22×C4—942no—
1384C22×C4—942no—
1385C22×C4—942no—
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×C4—1881no—
1397C22×C4—1881no—
1398C22×C4—1881no—
1399C22×C4—1881no—
1400C22×C4—1881no—
1401C22×C4—1881no—
1402C22×C4—1881no—
1403C22×C4—1881no—
1404C22×C4—1881no—
1405C22×C4—18816no—
1406C22×C4—1881no—
1407C22×C4—1881no—
1408C22×C4—1881no—
1409C22×C4C23×D4711yescharacteristic
1410C22×C4C23×D4711yescharacteristic
1411C22×C4C23×D4711yescharacteristic
1412C22×C4C23×D4711yescharacteristic
1413C22×C4C23×D4711yescharacteristic
1414C22×C4C23×D4711yescharacteristic
1415C22×C4C23×D4711yescharacteristic
1416C22×C4C23×D4711yescharacteristic
1417C22×C4C23×D4711yescharacteristic
1418C22×C4C23×D4711yescharacteristic
1419C22×C4C23×D4711yescharacteristic
1420C22×C4C23×D4711yescharacteristic
1421C22×C4C23×D4711yescharacteristic
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—942no—
1429C4⋊C4—942no—
1430C4⋊C4—1881no—
1431C4⋊C4—1881no—
1432C4⋊C4—1881no—
1433C4⋊C4—1881no—
1434C4⋊C4—1881no—
1435C4⋊C4—1881no—
1436C4⋊C4—1881no—
1437C4⋊C4—1881no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—942no—
1448C22⋊C4—942no—
1449C22⋊C4—942no—
1450C22⋊C4—942no—
1451C22⋊C4—942no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—942no—
1455C22⋊C4—942no—
1456C22⋊C4—942no—
1457C22⋊C4—942no—
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—
1488C22⋊C4—1881no—
1489C22⋊C4—1881no—
1490C22⋊C4—1881no—
1491C22⋊C4—1881no—
1492C22⋊C4—1881no—
1493C22⋊C4—1881no—
1494C22⋊C4—1881no—
1495C22⋊C4—1881no—
1496C22⋊C4—1881no—
1497C22⋊C4—1881no—
1498C42—1881no—
1499C42—1881no—
1500C42—1881no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—472no—
1513C23—472no—
1514C23—472no—
1515C23—472no—
1516C23—948no—
1517C23—948no—
1518C23—941no—
1519C23—941no—
1520C23—941no—
1521C23—941no—
1522C23—941no—
1523C23—941no—
1524C23—941no—
1525C23—941no—
1526C23—941no—
1527C23—941no—
1528C23—941no—
1529C23—941no—
1530C23—941no—
1531C23—941no—
1532C23—941no—
1533C23—941no—
1534C23—941no—
1535C23—941no—
1536C23—941no—
1537C23—941no—
1538C23—941no—
1539C23—941no—
1540C23—941no—
1541C23—941no—
1542C23—941no—
1543C23—941no—
1544C23—941no—
1545C23—941no—
1546C23—941no—
1547C23—941no—
1548C23—941no—
1549C23—941no—
1550C23—941no—
1551C23—941no—
1552C23—941no—
1553C23—941no—
1554C23—941no—
1555C23—941no—
1556C23—3762no—
1557C23—3762no—
1558C23—3762no—
1559C23—3762no—
1560C23—3762no—
1561C23—3762no—
1562C23—3762no—
1563C23—3762no—
1564C23—3762no—
1565C23—3762no—
1566C23—1884no—
1567C23—1884no—
1568C23—1884no—
1569C23—1884no—
1570C23—1884no—
1571C23—1884no—
1572C23—1884no—
1573C23—1884no—
1574C23—1884no—
1575C23#41×D4712yes—
1576C23#1309407012yes—
1577C23#1309407012yes—
1578C23C24×D4711yescharacteristic
1579Q8—3762no—
1580D4—44no—
1581D4—3762no—
1582D4—3762no—
1583D4—3762no—
1584D4—3762no—
1585D4—3762no—
1586D4—3762no—
1587D4—3762no—
1588D4—3762no—
1589D4—3762no—
1590D4—3762no—
1591D4—1884no—
1592D4—1884no—
1593D4—1884no—
1594D4—1884no—
1595D4—1884no—
1596D4—1884no—
1597D4—1884no—
1598D4—1884no—
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—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—82no—
1641C2×C4—472no—
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—941no—
1663C2×C4—941no—
1664C2×C4—941no—
1665C2×C4—941no—
1666C2×C4—941no—
1667C2×C4—941no—
1668C2×C4—941no—
1669C2×C4—941no—
1670C2×C4—941no—
1671C2×C4—3762no—
1672C2×C4—3762no—
1673C2×C4—3762no—
1674C2×C4—3762no—
1675C2×C4—1884no—
1676C2×C4—1884no—
1677C2×C4—1884no—
1678C2×C4—1884no—
1679C2×C4—1884no—
1680C2×C4—1884no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—942no—
1695C22—942no—
1696C22—942no—
1697C22—942no—
1698C22—942no—
1699C22—942no—
1700C22—942no—
1701C22—942no—
1702C22—942no—
1703C22—942no—
1704C22—942no—
1705C22—942no—
1706C22—3768no—
1707C22—3768no—
1708C22—18816no—
1709C22—1881no—
1710C22—1881no—
1711C22—1881no—
1712C22—1881no—
1713C22—1881no—
1714C22—1881no—
1715C22—1881no—
1716C22—1881no—
1717C22—1881no—
1718C22—1881no—
1719C22—1881no—
1720C22—1881no—
1721C22—1881no—
1722C22—1881no—
1723C22—1881no—
1724C22—1881no—
1725C22—1881no—
1726C22—1881no—
1727C22—1881no—
1728C22—1881no—
1729C22—1881no—
1730C22—1881no—
1731C22—1881no—
1732C22—1881no—
1733C22—1881no—
1734C22—1881no—
1735C22—1881no—
1736C22—1881no—
1737C22—1881no—
1738C22—1881no—
1739C22#1568971214yes—
1740C22C2×#41×D4711yescharacteristic
1741C22H(5,𝔽2)×D4711yescharacteristic
1742C22H(5,𝔽2)×D4711yescharacteristic
1743C22H(5,𝔽2)×D4711yescharacteristic
1744C22C2×#1309407011yescharacteristic
1745C22C2×#1309407011yescharacteristic
1746C22#1568996011yescharacteristic
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—942no—
1761C4—1881no—
1762C4—1881no—
1763C4—1881no—
1764C4—1881no—
1765C4—1881no—
1766C4—1881no—
1767C4—1881no—
1768C4—1881no—
1769C4—1881no—
1770C2—24no—
1771C2—81no—
1772C2—3761no—
1773C2—3761no—
1774C2—1882no—
1775C2—1882no—
1776C2—1882no—
1777C2—1882no—
1778C2C2×#1568971211yescharacteristic
1779C2#2025707411yescharacteristic
1780C2#2025722011yescharacteristic
1781C2#2025753911yescharacteristic
1782C2#2025757611yescharacteristic
1783C2#2025758311yescharacteristic
1784C2#2025762011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2643C2
hypercenter#2643D47
hypocenterC47#36776
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2643

Complements

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

NH ≅ G/Ntype
1. #20251683C2semidirect
2. #20251669C2semidirect
3. #20251013C2semidirect
4. #20251005C2semidirect
5. #20250766C2semidirect
6. #20250631C2semidirect
7. #20250618C2semidirect
8. #20250610C2semidirect
9. #20250520C2semidirect
10. #20250030C2semidirect
11. #20249946C2semidirect
12. #20249931C2semidirect
13. #20249831C2semidirect
14. #20249829C2semidirect
15. #20249770C2semidirect
16. #20249712C2semidirect
17. #20249695C2semidirect
18. #20249598C2semidirect
19. #20249316C2semidirect
20. #20247954C2semidirect
21. #20247519C2semidirect
22. #20247144C2semidirect
23. #20247053C2semidirect
24. #20246922C2semidirect
25. #20246761C2semidirect
26. #20246760C2semidirect
27. #20246700C2semidirect
28. #20246045C2semidirect
29. #20245962C2semidirect
30. C2×#15689001C2semidirect
31. C47×#2643C2semidirect
34. C23×C4×D47C22semidirect
35. C2×#13094010C22semidirect
36. C2×#13094009C22semidirect
37. C2×#13094009C22semidirect
38. C2×#13094003C22semidirect
39. C2×#13094002C22semidirect
40. C2×#13093999C22semidirect
41. C2×#13093999C22semidirect
42. C2×#13093999C22semidirect
44. C2×#13093997C22semidirect
45. C2×#13093997C22semidirect
51. C2×#13093994C22semidirect
52. C2×#13093994C22semidirect
54. C2×(C22⋊D47)⋊C4C22semidirect
57. C22×(C2×D47)⋊C4C22semidirect
59. C47⋊#401C22semidirect
60. #15689064C22semidirect
61. #15689063C22semidirect
62. #15689063C22semidirect
63. #15689061C22semidirect
64. #15689058C22semidirect
65. #15689052C22semidirect
66. #15689052C22semidirect
67. #15689052C22semidirect
68. #15689051C22semidirect
69. #15689050C22semidirect
70. #15689050C22semidirect
71. #15689049C22semidirect
72. #15689047C22semidirect
73. #15689045C22semidirect
74. #15689045C22semidirect
75. #15689041C22semidirect
76. #15689041C22semidirect
77. #15689041C22semidirect
78. #15689041C22semidirect
81. #15689040C22semidirect
82. #15689039C22semidirect
83. #15689039C22semidirect
84. #15689038C22semidirect
85. #15689038C22semidirect
86. #15689036C22semidirect
87. #15689036C22semidirect
88. #15689036C22semidirect
89. #15689036C22semidirect
94. #15689033C22semidirect
95. #15689033C22semidirect
98. #15689032C22semidirect
99. #15689024C22semidirect
100. #15689024C22semidirect
101. #15689024C22semidirect
102. #15689023C22semidirect
103. #15689017C22semidirect
104. #15689015C22semidirect
105. #15689015C22semidirect
106. #15689013C22semidirect
107. #15689013C22semidirect
108. #15689013C22semidirect
109. #15689012C22semidirect
110. #15689012C22semidirect
111. #15689012C22semidirect
112. #15689012C22semidirect
113. #15689005C22semidirect
114. #15689004C22semidirect
118. #15689002C22semidirect
119. #15689002C22semidirect
126. #15689001C22semidirect
127. #15689001C22semidirect
128. #15689001C22semidirect
129. #15689001C22semidirect
130. #15689001C22semidirect
131. #15689001C22semidirect
132. #15689001C22semidirect
133. #15689001C22semidirect
134. #15689001C22semidirect
135. #15689001C22semidirect
136. #15689001C22semidirect
137. #15689001C22semidirect
138. #15689001C22semidirect
139. #15689001C22semidirect
140. #15689001C22semidirect
141. #15689001C22semidirect
144. #15688999C22semidirect
145. #15688999C22semidirect
146. #15688999C22semidirect
147. #15688999C22semidirect
148. #15688999C22semidirect
149. #15688997C22semidirect
150. #15688997C22semidirect
151. #15688995C22semidirect
152. #15688994C22semidirect
153. #15688994C22semidirect
154. #15688994C22semidirect
155. #15688990C22semidirect
156. #15688985C22semidirect
157. #15688985C22semidirect
158. #15688985C22semidirect
159. #15688985C22semidirect
160. #15688985C22semidirect
161. #15688982C22semidirect
162. #15688982C22semidirect
163. #15688982C22semidirect
164. #15688981C22semidirect
166. #15688978C22semidirect
167. #15688978C22semidirect
168. #15688978C22semidirect
169. #15688978C22semidirect
170. C22⋊C4×Dic47C22semidirect
171. C2×C47⋊#95C22semidirect
172. C47×#401C22semidirect
173. C47×#400C22semidirect
174. C47×#400C22semidirect
175. C47×#400C22semidirect
176. C47×#397C22semidirect
177. C47×#397C22semidirect
178. C47×#397C22semidirect
179. C47×#396C22semidirect
183. C47×#385C22semidirect
184. C47×#385C22semidirect
185. C47×#385C22semidirect
186. C2×#95×C47C22semidirect
896. #2643D47semidirect
952. #401C2×D47semidirect
957. #400C2×D47semidirect
958. #400C2×D47semidirect
959. #400C2×D47semidirect
968. #397C2×D47semidirect
969. #397C2×D47semidirect
970. #397C2×D47semidirect
974. #396C2×D47semidirect
1058. #385C2×D47semidirect
1059. #385C2×D47semidirect
1060. #385C2×D47semidirect
1078. C2×#95C2×D47semidirect
1079. C47#36776semidirect

Maximal subgroups

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

subgroupindex
#202516832
#202516692
#202510132
#202510052
#202507662
#202506312
#202506182
#202506102
#202505202
#202500302
#202499462
#202499312
#202498312
#202498292
#202497702
#202497122
#202496952
#202495982
#202493162
#202479542
#202475192
#202471442
#202470532
#202469222
#202467612
#202467602
#202467002
#202460452
#202459622
C2×#156890012
C47×#26432
#3677647