Finite Group Databasebeta

← #26424656

Subgroups — #26424656

Order 12032.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 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#20251041C211yesmaximal, characteristic, complemented
4#20251035C211yesmaximal, characteristic, complemented
5#20250861C211yesmaximal, characteristic, complemented
6#20250780C211yesmaximal, characteristic, complemented
7#20250671C211yesmaximal, characteristic, complemented
8#20250610C211yesmaximal, characteristic, complemented
9#20250600C211yesmaximal, characteristic, complemented
10#20250532C211yesmaximal, characteristic, complemented
11#20250451C211yesmaximal, characteristic, complemented
12#20250144C211yesmaximal, characteristic, complemented
13#20250096C211yesmaximal, characteristic, complemented
14#20250075C211yesmaximal, characteristic, complemented
15#20250006C211yesmaximal, characteristic, complemented
16#20250000C211yesmaximal, characteristic, complemented
17#20249817C211yesmaximal, characteristic, complemented
18#20249629C211yesmaximal, characteristic, complemented
19#20249130C211yesmaximal, characteristic, complemented
20#20248318C211yesmaximal, characteristic, complemented
21#20248283C211yesmaximal, characteristic, complemented
22#20247111C211yesmaximal, characteristic, complemented
23#20246943C211yesmaximal, characteristic, complemented
24#20246922C211yesmaximal, characteristic, complemented
25#20246869C211yesmaximal, characteristic, complemented
26#20246848C211yesmaximal, characteristic, complemented
27#20246827C211yesmaximal, characteristic, complemented
28#20246089C211yesmaximal, characteristic, complemented
29#20246016C211yesmaximal, characteristic, complemented
30C2×#15688994C211yesmaximal, characteristic, complemented
31C47×#2623C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C2×#13094014C2211yescharacteristic, complemented
34C2×#13094009C2211yescharacteristic
35C2×#13094009C2211yescharacteristic
36C2×#13094008C2211yescharacteristic
37C2×#13094007C2211yescharacteristic
38C2×#13094007C2211yescharacteristic
39C2×#13093999C2211yescharacteristic
40C2×#13093998C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093997C2211yescharacteristic
43C2×#13093997C2211yescharacteristic, complemented
44C2×#13093996C2211yescharacteristic
45C2×#13093996C2211yescharacteristic
46C2×#13093994C2211yescharacteristic
47C2×#13093994C2211yescharacteristic
48C2×#13093992C2211yescharacteristic
49C2×D4×Dic47C2211yescharacteristic
50C2×(C22⋊D47)⋊C4C2211yescharacteristic
51C2×(C22⋊D47)⋊C4C2211yescharacteristic
52C22×Dic47⋊C4C2211yescharacteristic
53C22×(C2×D47)⋊C4C2211yescharacteristic
54C22×(C2×D47)⋊C4C2211yescharacteristic
55#15689064C2211yescharacteristic, complemented
56#15689064C2211yescharacteristic, complemented
57#15689063C2211yescharacteristic, complemented
58#15689060C2211yescharacteristic
59#15689058C2211yescharacteristic
60#15689058C2211yescharacteristic
61#15689057C2211yescharacteristic, complemented
62#15689056C2211yescharacteristic, complemented
63#15689056C2211yescharacteristic, complemented
64#15689054C2211yescharacteristic, complemented
65#15689053C2211yescharacteristic, complemented
66#15689053C2211yescharacteristic, complemented
67#15689052C2211yescharacteristic, complemented
68#15689051C2211yescharacteristic, complemented
69#15689050C2211yescharacteristic
70#15689050C2211yescharacteristic, complemented
71#15689047C2211yescharacteristic
72#15689047C2211yescharacteristic
73#15689047C2211yescharacteristic, complemented
74#15689046C2211yescharacteristic, complemented
75#15689045C2211yescharacteristic
76#15689045C2211yescharacteristic, complemented
77#15689045C2211yescharacteristic, complemented
78#15689045C2211yescharacteristic, complemented
79#15689045C2211yescharacteristic, complemented
80#15689045C2211yescharacteristic, complemented
81#15689041C2211yescharacteristic
82#15689041C2211yescharacteristic
83#15689041C2211yescharacteristic
84#15689041C2211yescharacteristic, complemented
85#15689040C2211yescharacteristic
86#15689040C2211yescharacteristic, complemented
87#15689040C2211yescharacteristic, complemented
88#15689039C2211yescharacteristic
89#15689039C2211yescharacteristic
90#15689038C2211yescharacteristic, complemented
91#15689038C2211yescharacteristic, complemented
92#15689033C2211yescharacteristic
93#15689032C2211yescharacteristic
94#15689032C2211yescharacteristic
95#15689024C2211yescharacteristic
96#15689024C2211yescharacteristic
97#15689024C2211yescharacteristic
98#15689023C2211yescharacteristic
99#15689023C2211yescharacteristic
100#15689023C2211yescharacteristic, complemented
101#15689020C2211yescharacteristic, complemented
102#15689020C2211yescharacteristic, complemented
103#15689018C2211yescharacteristic, complemented
104#15689018C2211yescharacteristic, complemented
105#15689017C2211yescharacteristic, complemented
106#15689015C2211yescharacteristic
107#15689015C2211yescharacteristic
108#15689015C2211yescharacteristic
109#15689015C2211yescharacteristic, complemented
110#15689013C2211yescharacteristic, complemented
111#15689013C2211yescharacteristic, complemented
112#15689012C2211yescharacteristic
113#15689012C2211yescharacteristic
114#15689012C2211yescharacteristic, complemented
115#15689010C2211yescharacteristic, complemented
116#15689010C2211yescharacteristic, complemented
117#15689006C2211yescharacteristic, complemented
118#15689005C2211yescharacteristic, complemented
119#15689005C2211yescharacteristic, complemented
120#15689004C2211yescharacteristic, complemented
121#15689002C2211yescharacteristic
122#15689002C2211yescharacteristic
123#15689001C2211yescharacteristic
124#15689001C2211yescharacteristic
125#15689001C2211yescharacteristic
126#15689001C2211yescharacteristic
127#15689001C2211yescharacteristic
128#15689001C2211yescharacteristic
129#15689001C2211yescharacteristic
130#15689000C2211yescharacteristic
131#15689000C2211yescharacteristic
132#15689000C2211yescharacteristic
133#15689000C2211yescharacteristic, complemented
134#15689000C2211yescharacteristic, complemented
135#15688999C2211yescharacteristic
136#15688999C2211yescharacteristic
137#15688999C2211yescharacteristic, complemented
138#15688998C2211yescharacteristic
139#15688997C2211yescharacteristic, complemented
140#15688997C2211yescharacteristic, complemented
141#15688995C2211yescharacteristic
142#15688995C2211yescharacteristic, complemented
143#15688994C2211yescharacteristic
144#15688994C2211yescharacteristic
145#15688994C2211yescharacteristic
146#15688994C2211yescharacteristic
147#15688994C2211yescharacteristic
148#15688994C2211yescharacteristic
149#15688994C2211yescharacteristic
150#15688994C2211yescharacteristic
151#15688994C2211yescharacteristic
152#15688994C2211yescharacteristic
153#15688990C2211yescharacteristic, complemented
154#15688988C2211yescharacteristic, complemented
155#15688987C2211yescharacteristic, complemented
156#15688985C2211yescharacteristic
157#15688985C2211yescharacteristic
158#15688985C2211yescharacteristic, complemented
159#15688985C2211yescharacteristic, complemented
160#15688983C2211yescharacteristic
161#15688982C2211yescharacteristic
162#15688982C2211yescharacteristic
163#15688982C2211yescharacteristic, complemented
164#15688981C2211yescharacteristic
165#15688981C2211yescharacteristic
166#15688981C2211yescharacteristic, complemented
167#15688980C2211yescharacteristic, complemented
168#15688978C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C2×#123×C47C2211yescharacteristic
173C22×C4⋊C4×C47C2211yescharacteristic
174C47×#400C2211yescharacteristic, complemented
175C47×#400C2211yescharacteristic, complemented
176C47×#399C2211yescharacteristic, complemented
177C47×#399C2211yescharacteristic, complemented
178C47×#398C2211yescharacteristic, complemented
179C47×#398C2211yescharacteristic, complemented
180C47×#397C2211yescharacteristic, complemented
181C47×#397C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#385C2211yescharacteristic
185C47×#385C2211yescharacteristic
186C47×#381C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×D188C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C22×C4×D47—42no—
204C22×C4×D47—42no—
205C22×C4×D47—42no—
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212#13094014—42no—
213#13094009—42no—
214#13094009—42no—
215#13094008—42no—
216#13094007—42no—
217#13094007—42no—
218#13093999—42no—
219#13093998—42no—
220#13093997—42no—
221#13093997—42no—
222#13093997—42no—
223#13093996—24no—
224#13093996—42no—
225#13093994—42no—
226#13093994—42no—
227#13093992—42no—
228D4×Dic47—42no—
229(C22⋊D47)⋊C4—24no—
230(C22⋊D47)⋊C4—42no—
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×Dic47⋊C4—42no—
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×(C2×D47)⋊C4—24no—
262C2×(C2×D47)⋊C4—42no—
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×(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×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
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
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C22×D4×C47C2311yescharacteristic
333C23×C4×C47C2311yescharacteristic
334C23×C4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336#123×C47—42no—
337C2×C4⋊C4×C47—42no—
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊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
357#95×C47C2311yescharacteristic
358#95×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
369C24×C47C2411yescharacteristic
370C24×C47C2411yescharacteristic
371C23×D47—22no—
372C23×D47—22no—
373C23×D47—22no—
374C23×D47—22no—
375C23×D47—22no—
376C23×D47—41no—
377C23×D47—41no—
378C23×D47C2411yescharacteristic
379C23×D47C2411yescharacteristic
380C23×D47C2411yescharacteristic
381C23×D47C2411yescharacteristic
382C2×D4×C47—22no—
383C2×D4×C47—22no—
384C2×D4×C47—22no—
385C22×C4×C47—22no—
386C22×C4×C47—22no—
387C22×C4×C47—22no—
388C22×C4×C47—22no—
389C22×C4×C47—22no—
390C22×C4×C47—41no—
391C22×C4×C47—41no—
392C22×C4×C47—41no—
393C22×C4×C47—41no—
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C2×C22⋊D47—22no—
408C2×C22⋊D47—22no—
409C2×C22⋊D47—22no—
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—22no—
413C2×C22⋊D47—22no—
414C2×C22⋊D47—22no—
415C2×C22⋊D47—22no—
416C2×C22⋊D47—22no—
417C2×C22⋊D47—41no—
418C2×C22⋊D47—41no—
419C2×C22⋊D47—41no—
420C2×C22⋊D47—41no—
421C2×C22⋊D47—41no—
422C2×C22⋊D47—41no—
423C2×C22⋊D47—41no—
424C2×C22⋊D47—41no—
425C22×Dic47—22no—
426C22×Dic47—22no—
427C22×Dic47—22no—
428C22×Dic47—41no—
429C22×Dic47—41no—
430C22×Dic47—41no—
431C22×Dic47—41no—
432C22×Dic47—41no—
433C22×Dic47—41no—
434C22×Dic47—41no—
435C22×Dic47—41no—
436C22×Dic47#4114yes—
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C2×D188—22no—
450C2×D188—22no—
451C2×D188—22no—
452C2×D188—22no—
453C2×D188—41no—
454C2×D188—41no—
455C2×D188—41no—
456C2×D188—41no—
457C2×D188—41no—
458C2×D188—41no—
459C2×D188—41no—
460C2×D188—41no—
461C2×D188—41no—
462C2×D188—41no—
463C2×D188—41no—
464C2×C4×D47—22no—
465C2×C4×D47—22no—
466C2×C4×D47—22no—
467C2×C4×D47—22no—
468C2×C4×D47—22no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—416no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47—41no—
483C4⋊C4×C47—41no—
484C4⋊C4×C47—41no—
485C4⋊C4×C47—41no—
486C4⋊C4×C47—41no—
487C4⋊C4×C47—41no—
488C4⋊C4×C47—41no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C4⋊C4×C47—41no—
493C22⋊C4×C47—22no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47—41no—
501C22⋊C4×C47—41no—
502C22⋊Dic47—22no—
503C22⋊Dic47—22no—
504C22⋊Dic47—22no—
505C22⋊Dic47—41no—
506C22⋊Dic47—41no—
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—22no—
514(C2×D47)⋊C4—22no—
515(C2×D47)⋊C4—22no—
516(C2×D47)⋊C4—22no—
517(C2×D47)⋊C4—22no—
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—
537(C2×D47)⋊C4—41no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543C4⋊Dic47—41no—
544C4⋊Dic47—41no—
545C4⋊Dic47—41no—
546C4⋊Dic47—41no—
547C4⋊Dic47—41no—
548C4⋊Dic47—41no—
549Dic47⋊C4—22no—
550Dic47⋊C4—22no—
551Dic47⋊C4—22no—
552Dic47⋊C4—22no—
553Dic47⋊C4—22no—
554Dic47⋊C4—22no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4—41no—
562Dic47⋊C4—41no—
563Dic47⋊C4—41no—
564Dic47⋊C4—41no—
565Dic47⋊C4—41no—
566Dic47⋊C4—41no—
567C4×Dic47—22no—
568C4×Dic47—41no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47C2×#4112yes—
584C23×C47H(5,𝔽2)12yes—
585C23×C47H(5,𝔽2)12yes—
586C23×C47C2511yescharacteristic
587C22×D47—28no—
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—21no—
600C22×D47—21no—
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—44no—
615C22×D47—44no—
616C22×D47—44no—
617C22×D47—44no—
618C22×D47—44no—
619C22×D47—44no—
620C22×D47H(5,𝔽2)12yes—
621C22×D472−1+412yes—
622D4×C47—44no—
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—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—44no—
663C2×C4×C47—44no—
664C2×C4×C47—82no—
665C22⋊D47—44no—
666C22⋊D47—44no—
667C22⋊D47—82no—
668C22⋊D47—82no—
669C22⋊D47—82no—
670C22⋊D47—82no—
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—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—44no—
705C2×Dic47—44no—
706C2×Dic47—82no—
707C2×Dic47—82no—
708C2×Dic47C2×#4112yes—
709C2×Dic47C2×#4112yes—
710C2×Dic47H(5,𝔽2)12yes—
711D188—82no—
712D188—82no—
713D188—82no—
714D188—82no—
715D188—82no—
716C4×D47—44no—
717C4×D47—44no—
718C4×D47—44no—
719C4×D47—44no—
720C4×D47—82no—
721C4×D47—82no—
722#36777—471nomaximal, Sylow
723C22×C47—22no—
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47—41no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47#54014yes—
737C22×C47C22×#4111yescharacteristic
738C22×C47C2×H(5,𝔽2)11yescharacteristic
739C22×C47C2×H(5,𝔽2)11yescharacteristic
740C22×C47C2×H(5,𝔽2)11yescharacteristic
741C22×C47C2×H(5,𝔽2)11yescharacteristic
742C22×C47C2×2−1+411yescharacteristic
743C22×C47#58511yescharacteristic
744C2×D47—22no—
745C2×D47—22no—
746C2×D47—22no—
747C2×D47—22no—
748C2×D47—22no—
749C2×D47—22no—
750C2×D47—416no—
751C2×D47—41no—
752C2×D47—41no—
753C2×D47—41no—
754C2×D47—41no—
755C2×D47—41no—
756C2×D47—41no—
757C2×D47—41no—
758C2×D47—41no—
759C2×D47—41no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786Dic47—22no—
787Dic47—22no—
788Dic47—22no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798#2849—471no—
799#2847—471no—
800#2780—471no—
801#2780—471no—
802#2768—471no—
803#2761—471no—
804#2753—471no—
805#2749—471no—
806#2748—471no—
807#2743—471no—
808#2738—471no—
809#2711—471no—
810#2707—471no—
811#2706—471no—
812#2701—471no—
813#2701—471no—
814#2688—471no—
815#2671—471no—
816#2623D4711yescharacteristic, complemented
817#2618—471no—
818#2539—471no—
819#2534—471no—
820#2442—471no—
821#2425—471no—
822#2424—471no—
823#2419—471no—
824#2418—471no—
825#2416—471no—
826#2325—471no—
827#2318—471no—
828C2×#385—471no—
829C2×C47—24no—
830C2×C47—81no—
831C2×C47C2×#54011yescharacteristic
832C2×C47#349211yescharacteristic
833C2×C47#350511yescharacteristic
834C2×C47#353211yescharacteristic
835C2×C47#353411yescharacteristic
836C2×C47#353511yescharacteristic
837C2×C47#353611yescharacteristic
838D47—42no—
839D47—42no—
840D47—81no—
841D47—81no—
842C24×C4—471no—
843C2×#125—471no—
844C2×#123—471no—
845C2×#123—471no—
846C2×#123—471no—
847C2×#123—471no—
848C2×#123—471no—
849C2×#123C2×D4711yescharacteristic
850C2×#121—471no—
851C2×#121—471no—
852C2×#121—471no—
853C2×#121—471no—
854C2×#121—471no—
855C2×#121—471no—
856C2×#121—471no—
857C2×#120—471no—
858C2×#120—471no—
859C2×#120—471no—
860C2×C4×D4—471no—
861C2×C4×D4—471no—
862C2×C4×D4—471no—
863C22×C4⋊C4—471no—
864C22×C4⋊C4C2×D4711yescharacteristic
865C22×C22⋊C4—471no—
866C22×C22⋊C4—471no—
867#400—471no—
868#400—471no—
869#400—471no—
870#400C2×D4711yescharacteristic, complemented
871#400C2×D4711yescharacteristic, complemented
872#399—471no—
873#399—471no—
874#399—471no—
875#399C2×D4711yescharacteristic, complemented
876#399C2×D4711yescharacteristic, complemented
877#398—471no—
878#398—471no—
879#398—471no—
880#398—471no—
881#398—471no—
882#398—471no—
883#398C2×D4711yescharacteristic, complemented
884#398C2×D4711yescharacteristic, complemented
885#397—471no—
886#397—471no—
887#397—471no—
888#397—471no—
889#397C2×D4711yescharacteristic, complemented
890#397C2×D4711yescharacteristic, complemented
891#396—471no—
892#396—471no—
893#396—471no—
894#396—471no—
895#396—471no—
896#396—471no—
897#396—471no—
898#396—471no—
899#396—471no—
900#396—471no—
901#394—471no—
902#394—471no—
903#394—471no—
904#394—471no—
905#394—471no—
906#394—471no—
907#394—471no—
908#394—471no—
909#394—471no—
910#394—471no—
911#394—471no—
912#392—471no—
913#392—471no—
914#392—471no—
915#390—471no—
916#390—471no—
917#390—471no—
918#390—471no—
919#390—471no—
920#390—471no—
921#389—471no—
922#389—471no—
923#389—471no—
924#389—471no—
925#388—471no—
926#388—471no—
927#388—471no—
928#388—471no—
929#388—471no—
930#388—471no—
931#388—471no—
932#388—471no—
933#388—471no—
934#388—471no—
935#387—471no—
936#387—471no—
937#387—471no—
938#387—471no—
939#387—471no—
940#387—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#386—471no—
951#386—471no—
952#386—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386C2×D4711yescharacteristic
959#386C2×D4711yescharacteristic
960#385—471no—
961#385—471no—
962#385—471no—
963#385—471no—
964#385—471no—
965#385—471no—
966#385—471no—
967#385—471no—
968#385—471no—
969#385—471no—
970#385—471no—
971#385—471no—
972#385—471no—
973#385—471no—
974#385—471no—
975#385C2×D4711yescharacteristic
976#385C2×D4711yescharacteristic
977#383—471no—
978#382—471no—
979#382—471no—
980#381—471no—
981#381—471no—
982#381—471no—
983#381—471no—
984#381C2×D4711yescharacteristic
985#380—471no—
986#380—471no—
987#380—471no—
988#380—471no—
989#380—471no—
990#380—471no—
991#380—471no—
992#380—471no—
993#379—471no—
994C4×C22⋊C4—471no—
995C2×#95—471no—
996C2×#95—471no—
997C47#3677711yescharacteristic, complemented, Sylow
998C25—471no—
999C22×D4—471no—
1000C22×D4—471no—
1001C22×D4—471no—
1002C22×D4—471no—
1003C22×D4—471no—
1004C22×D4—471no—
1005C22×D4—471no—
1006C22×D4—471no—
1007C22×D4—471no—
1008C22×D4—471no—
1009C22×D4—471no—
1010C22×D4C22×D4711yescharacteristic
1011C23×C4—471no—
1012C23×C4—471no—
1013C23×C4—471no—
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—471no—
1020C23×C4—471no—
1021C23×C4—1882no—
1022C23×C4—1882no—
1023C23×C4—1882no—
1024C23×C4C22×D4711yescharacteristic
1025C23×C4C22×D4711yescharacteristic
1026C23×C4C22×D4711yescharacteristic
1027#125—1882no—
1028#123—42no—
1029#123—1882no—
1030#123—1882no—
1031#123—1882no—
1032#123—1882no—
1033#123—1882no—
1034#121—944no—
1035#121—1882no—
1036#121—1882no—
1037#121—1882no—
1038#121—1882no—
1039#121—1882no—
1040#121—1882no—
1041#120—1882no—
1042#120—1882no—
1043#120—1882no—
1044C4×D4—944no—
1045C4×D4—1882no—
1046C4×D4—1882no—
1047C2×C4⋊C4—42no—
1048C2×C4⋊C4—471no—
1049C2×C4⋊C4—471no—
1050C2×C4⋊C4—471no—
1051C2×C4⋊C4—471no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—471no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—1882no—
1073C2×C4⋊C4C22×D4711yescharacteristic
1074C2×C4⋊C4C22×D4711yescharacteristic
1075C2×C4⋊C4C22×D4711yescharacteristic
1076C2×C4⋊C4C22×D4711yescharacteristic
1077C2×C4⋊C4C22×D4711yescharacteristic
1078C2×C4⋊C4C22×D4711yescharacteristic
1079C2×C4⋊C4C22×D4711yescharacteristic
1080C2×C4⋊C4C22×D4711yescharacteristic
1081C2×C4⋊C4C22×D4711yescharacteristic
1082C2×C4⋊C4C22×D4711yescharacteristic
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⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—944no—
1125C2×C22⋊C4—1882no—
1126C2×C22⋊C4C22×D4711yescharacteristic
1127C2×C22⋊C4C22×D4711yescharacteristic
1128C2×C22⋊C4C22×D4711yescharacteristic
1129C2×C22⋊C4C22×D4711yescharacteristic
1130C2×C22⋊C4C22×D4711yescharacteristic
1131C2×C22⋊C4C22×D4711yescharacteristic
1132C2×C22⋊C4C22×D4711yescharacteristic
1133C2×C22⋊C4C22×D4711yescharacteristic
1134C2×C22⋊C4C22×D4711yescharacteristic
1135C2×C42—471no—
1136C2×C42—471no—
1137C2×C42—471no—
1138C2×C42—471no—
1139C2×C42—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#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95C22×D4711yescharacteristic
1169#95C22×D4711yescharacteristic
1170#95C22×D4711yescharacteristic
1171#95C22×D4711yescharacteristic
1172#95C22×D4711yescharacteristic
1173#95C22×D4711yescharacteristic
1174#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180C24—471no—
1181C24—471no—
1182C24—471no—
1183C24—471no—
1184C24—942no—
1185C24—942no—
1186C24—942no—
1187C24—942no—
1188C24—942no—
1189C24—1881no—
1190C24—1881no—
1191C24C23×D4711yescharacteristic
1192C24C23×D4711yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—942no—
1197C2×D4—942no—
1198C2×D4—942no—
1199C2×D4—942no—
1200C2×D4—942no—
1201C2×D4—942no—
1202C2×D4—942no—
1203C2×D4—942no—
1204C2×D4—942no—
1205C2×D4—942no—
1206C2×D4—942no—
1207C2×D4—942no—
1208C2×D4—942no—
1209C2×D4—942no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—1881no—
1214C2×D4—1881no—
1215C2×D4—1881no—
1216C2×D4—1881no—
1217C2×D4—1881no—
1218C2×D4—1881no—
1219C2×D4—1881no—
1220C2×D4—1881no—
1221C2×D4—1881no—
1222C2×D4—1881no—
1223C2×D4—1881no—
1224C2×D4—1881no—
1225C2×D4—1881no—
1226C2×D4—1881no—
1227C2×D4—1881no—
1228C2×D4—1881no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—471no—
1239C22×C4—471no—
1240C22×C4—471no—
1241C22×C4—474no—
1242C22×C4—471no—
1243C22×C4—471no—
1244C22×C4—471no—
1245C22×C4—471no—
1246C22×C4—471no—
1247C22×C4—471no—
1248C22×C4—471no—
1249C22×C4—471no—
1250C22×C4—471no—
1251C22×C4—942no—
1252C22×C4—942no—
1253C22×C4—942no—
1254C22×C4—942no—
1255C22×C4—942no—
1256C22×C4—942no—
1257C22×C4—942no—
1258C22×C4—942no—
1259C22×C4—1881no—
1260C22×C4—1881no—
1261C22×C4—1881no—
1262C22×C4—1881no—
1263C22×C4—1881no—
1264C22×C4—1881no—
1265C22×C4—1881no—
1266C22×C4—1881no—
1267C22×C4—1881no—
1268C22×C4—1881no—
1269C22×C4—1881no—
1270C22×C4—1881no—
1271C22×C4—1881no—
1272C22×C4—18816no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4—1881no—
1280C22×C4—1881no—
1281C22×C4C23×D4711yescharacteristic
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4711yescharacteristic
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C22×C4C23×D4711yescharacteristic
1292C22×C4C23×D4711yescharacteristic
1293C22×C4C23×D4711yescharacteristic
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—942no—
1305C4⋊C4—942no—
1306C4⋊C4—942no—
1307C4⋊C4—942no—
1308C4⋊C4—942no—
1309C4⋊C4—942no—
1310C4⋊C4—1881no—
1311C4⋊C4—1881no—
1312C4⋊C4—1881no—
1313C4⋊C4—1881no—
1314C4⋊C4—1881no—
1315C4⋊C4—1881no—
1316C4⋊C4—1881no—
1317C4⋊C4—1881no—
1318C4⋊C4—1881no—
1319C4⋊C4—1881no—
1320C4⋊C4—1881no—
1321C4⋊C4—1881no—
1322C4⋊C4—1881no—
1323C4⋊C4—1881no—
1324C4⋊C4—1881no—
1325C4⋊C4—1881no—
1326C4⋊C4—1881no—
1327C4⋊C4—1881no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—942no—
1338C22⋊C4—942no—
1339C22⋊C4—942no—
1340C22⋊C4—942no—
1341C22⋊C4—942no—
1342C22⋊C4—942no—
1343C22⋊C4—942no—
1344C22⋊C4—942no—
1345C22⋊C4—942no—
1346C22⋊C4—942no—
1347C22⋊C4—942no—
1348C22⋊C4—942no—
1349C22⋊C4—942no—
1350C22⋊C4—942no—
1351C22⋊C4—1881no—
1352C22⋊C4—1881no—
1353C22⋊C4—1881no—
1354C22⋊C4—1881no—
1355C22⋊C4—1881no—
1356C22⋊C4—1881no—
1357C22⋊C4—1881no—
1358C22⋊C4—1881no—
1359C22⋊C4—1881no—
1360C22⋊C4—1881no—
1361C22⋊C4—1881no—
1362C22⋊C4—1881no—
1363C22⋊C4—1881no—
1364C22⋊C4—1881no—
1365C22⋊C4—1881no—
1366C22⋊C4—1881no—
1367C22⋊C4—1881no—
1368C22⋊C4—1881no—
1369C22⋊C4—1881no—
1370C22⋊C4—1881no—
1371C22⋊C4—1881no—
1372C22⋊C4—1881no—
1373C22⋊C4—1881no—
1374C22⋊C4—1881no—
1375C22⋊C4—1881no—
1376C22⋊C4—1881no—
1377C22⋊C4—1881no—
1378C42—942no—
1379C42—1881no—
1380C42—1881no—
1381C42—1881no—
1382C42—1881no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—472no—
1395C23—472no—
1396C23—948no—
1397C23—941no—
1398C23—941no—
1399C23—941no—
1400C23—941no—
1401C23—941no—
1402C23—941no—
1403C23—941no—
1404C23—941no—
1405C23—941no—
1406C23—941no—
1407C23—941no—
1408C23—941no—
1409C23—941no—
1410C23—941no—
1411C23—941no—
1412C23—941no—
1413C23—941no—
1414C23—941no—
1415C23—941no—
1416C23—941no—
1417C23—941no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—1884no—
1424C23—1884no—
1425C23—1884no—
1426C23—1884no—
1427C23—1884no—
1428C23—1884no—
1429C23#41×D4712yes—
1430C23#1309406912yes—
1431C23#1309407012yes—
1432C23C24×D4711yescharacteristic
1433D4—44no—
1434D4—3762no—
1435D4—3762no—
1436D4—3762no—
1437D4—3762no—
1438D4—3762no—
1439D4—3762no—
1440D4—3762no—
1441D4—3762no—
1442D4—3762no—
1443D4—1884no—
1444D4—1884no—
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—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—82no—
1487C2×C4—472no—
1488C2×C4—472no—
1489C2×C4—472no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—3762no—
1524C2×C4—3762no—
1525C2×C4—3762no—
1526C2×C4—3762no—
1527C2×C4—1884no—
1528C2×C4—1884no—
1529C2×C4—1884no—
1530C2×C4—1884no—
1531C2×C4—1884no—
1532C2×C4—1884no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—942no—
1547C22—942no—
1548C22—942no—
1549C22—942no—
1550C22—942no—
1551C22—942no—
1552C22—18816no—
1553C22—1881no—
1554C22—1881no—
1555C22—1881no—
1556C22—1881no—
1557C22—1881no—
1558C22—1881no—
1559C22—1881no—
1560C22—1881no—
1561C22—1881no—
1562C22—1881no—
1563C22—1881no—
1564C22—1881no—
1565C22—1881no—
1566C22—1881no—
1567C22—1881no—
1568C22—1881no—
1569C22—1881no—
1570C22—1881no—
1571C22—1881no—
1572C22—1881no—
1573C22—1881no—
1574C22—1881no—
1575C22#1568972514yes—
1576C22C2×#41×D4711yescharacteristic
1577C22H(5,𝔽2)×D4711yescharacteristic
1578C22H(5,𝔽2)×D4711yescharacteristic
1579C22C2×#1309406911yescharacteristic
1580C22C2×#1309407011yescharacteristic
1581C222−1+4×D4711yescharacteristic
1582C22#1568996011yescharacteristic
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—942no—
1597C4—942no—
1598C4—942no—
1599C4—1881no—
1600C4—1881no—
1601C4—1881no—
1602C4—1881no—
1603C4—1881no—
1604C4—1881no—
1605C4—1881no—
1606C4—1881no—
1607C4—1881no—
1608C2—24no—
1609C2—81no—
1610C2—3761no—
1611C2—3761no—
1612C2—1882no—
1613C2—1882no—
1614C2C2×#1568972511yescharacteristic
1615C2#2025709311yescharacteristic
1616C2#2025722011yescharacteristic
1617C2#2025754211yescharacteristic
1618C2#2025758311yescharacteristic
1619C2#2025758711yescharacteristic
1620C2#2025761211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2623C2
hypercenter#2623D47
hypocenterC47#36777
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2623

Complements

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

NH ≅ G/Ntype
1. #20251683C2semidirect
2. #20251669C2semidirect
3. #20251041C2semidirect
4. #20251035C2semidirect
5. #20250861C2semidirect
6. #20250780C2semidirect
7. #20250671C2semidirect
8. #20250610C2semidirect
9. #20250600C2semidirect
10. #20250532C2semidirect
11. #20250451C2semidirect
12. #20250144C2semidirect
13. #20250096C2semidirect
14. #20250075C2semidirect
15. #20250006C2semidirect
16. #20250000C2semidirect
17. #20249817C2semidirect
18. #20249629C2semidirect
19. #20249130C2semidirect
20. #20248318C2semidirect
21. #20248283C2semidirect
22. #20247111C2semidirect
23. #20246943C2semidirect
24. #20246922C2semidirect
25. #20246869C2semidirect
26. #20246848C2semidirect
27. #20246827C2semidirect
28. #20246089C2semidirect
29. #20246016C2semidirect
30. C2×#15688994C2semidirect
31. C47×#2623C2semidirect
33. C2×#13094014C22semidirect
43. C2×#13093997C22semidirect
55. #15689064C22semidirect
56. #15689064C22semidirect
57. #15689063C22semidirect
61. #15689057C22semidirect
62. #15689056C22semidirect
63. #15689056C22semidirect
64. #15689054C22semidirect
65. #15689053C22semidirect
66. #15689053C22semidirect
67. #15689052C22semidirect
68. #15689051C22semidirect
70. #15689050C22semidirect
73. #15689047C22semidirect
74. #15689046C22semidirect
76. #15689045C22semidirect
77. #15689045C22semidirect
78. #15689045C22semidirect
79. #15689045C22semidirect
80. #15689045C22semidirect
84. #15689041C22semidirect
86. #15689040C22semidirect
87. #15689040C22semidirect
90. #15689038C22semidirect
91. #15689038C22semidirect
100. #15689023C22semidirect
101. #15689020C22semidirect
102. #15689020C22semidirect
103. #15689018C22semidirect
104. #15689018C22semidirect
105. #15689017C22semidirect
109. #15689015C22semidirect
110. #15689013C22semidirect
111. #15689013C22semidirect
114. #15689012C22semidirect
115. #15689010C22semidirect
116. #15689010C22semidirect
117. #15689006C22semidirect
118. #15689005C22semidirect
119. #15689005C22semidirect
120. #15689004C22semidirect
133. #15689000C22semidirect
134. #15689000C22semidirect
137. #15688999C22semidirect
139. #15688997C22semidirect
140. #15688997C22semidirect
142. #15688995C22semidirect
153. #15688990C22semidirect
154. #15688988C22semidirect
155. #15688987C22semidirect
158. #15688985C22semidirect
159. #15688985C22semidirect
163. #15688982C22semidirect
166. #15688981C22semidirect
167. #15688980C22semidirect
174. C47×#400C22semidirect
175. C47×#400C22semidirect
176. C47×#399C22semidirect
177. C47×#399C22semidirect
178. C47×#398C22semidirect
179. C47×#398C22semidirect
180. C47×#397C22semidirect
181. C47×#397C22semidirect
816. #2623D47semidirect
870. #400C2×D47semidirect
871. #400C2×D47semidirect
875. #399C2×D47semidirect
876. #399C2×D47semidirect
883. #398C2×D47semidirect
884. #398C2×D47semidirect
889. #397C2×D47semidirect
890. #397C2×D47semidirect
997. C47#36777semidirect

Maximal subgroups

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

subgroupindex
#202516832
#202516692
#202510412
#202510352
#202508612
#202507802
#202506712
#202506102
#202506002
#202505322
#202504512
#202501442
#202500962
#202500752
#202500062
#202500002
#202498172
#202496292
#202491302
#202483182
#202482832
#202471112
#202469432
#202469222
#202468692
#202468482
#202468272
#202460892
#202460162
C2×#156889942
C47×#26232
#3677747