Finite Group Databasebeta

← #26425152

Subgroups — #26425152

Order 12032.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251683C211yesmaximal, characteristic, complemented
2#20251674C211yesmaximal, characteristic, complemented
3#20251237C211yesmaximal, characteristic, complemented
4#20250774C211yesmaximal, characteristic, complemented
5#20250732C211yesmaximal, characteristic, complemented
6#20250640C211yesmaximal, characteristic, complemented
7#20250436C211yesmaximal, characteristic, complemented
8#20250384C211yesmaximal, characteristic, complemented
9#20250300C211yesmaximal, characteristic, complemented
10#20250205C211yesmaximal, characteristic, complemented
11#20250159C211yesmaximal, characteristic, complemented
12#20250129C211yesmaximal, characteristic, complemented
13#20250066C211yesmaximal, characteristic, complemented
14#20249994C211yesmaximal, characteristic, complemented
15#20249991C211yesmaximal, characteristic, complemented
16#20249875C211yesmaximal, characteristic, complemented
17#20249799C211yesmaximal, characteristic, complemented
18#20249644C211yesmaximal, characteristic, complemented
19#20249161C211yesmaximal, characteristic, complemented
20#20248566C211yesmaximal, characteristic, complemented
21#20248396C211yesmaximal, characteristic, complemented
22#20247639C211yesmaximal, characteristic, complemented
23#20247633C211yesmaximal, characteristic, complemented
24#20247521C211yesmaximal, characteristic, complemented
25#20247511C211yesmaximal, characteristic, complemented
26#20247037C211yesmaximal, characteristic, complemented
27#20246743C211yesmaximal, characteristic
28#20246119C211yesmaximal, characteristic, complemented
29#20246016C211yesmaximal, characteristic, complemented
30C2×#15688999C211yesmaximal, characteristic, complemented
31C47×#2626C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C2×#13094019C2211yescharacteristic, complemented
35C2×#13094017C2211yescharacteristic, complemented
36C2×#13094013C2211yescharacteristic, complemented
37C2×#13094010C2211yescharacteristic
38C2×#13094010C2211yescharacteristic
39C2×#13094010C2211yescharacteristic, complemented
40C2×#13094009C2211yescharacteristic, complemented
41C2×#13094009C2211yescharacteristic, complemented
42C2×#13094002C2211yescharacteristic, complemented
43C2×#13094002C2211yescharacteristic, complemented
44C2×#13094001C2211yescharacteristic
45C2×#13094001C2211yescharacteristic
46C2×#13093997C2211yescharacteristic
47C2×#13093997C2211yescharacteristic
48C2×#13093994C2211yescharacteristic
49C2×#13093993C2211yescharacteristic
50C2×(C22⋊D47)⋊C4C2211yescharacteristic
51C22×C22⋊Dic47C2211yescharacteristic
52C22×(C2×D47)⋊C4C2211yescharacteristic
53#15689064C2211yescharacteristic, complemented
54#15689058C2211yescharacteristic, complemented
55#15689054C2211yescharacteristic, complemented
56#15689053C2211yescharacteristic, complemented
57#15689052C2211yescharacteristic, complemented
58#15689051C2211yescharacteristic, complemented
59#15689051C2211yescharacteristic, complemented
60#15689051C2211yescharacteristic, complemented
61#15689051C2211yescharacteristic, complemented
62#15689051C2211yescharacteristic, complemented
63#15689051C2211yescharacteristic, complemented
64#15689051C2211yescharacteristic, complemented
65#15689050C2211yescharacteristic, complemented
66#15689049C2211yescharacteristic, complemented
67#15689049C2211yescharacteristic, complemented
68#15689048C2211yescharacteristic, complemented
69#15689046C2211yescharacteristic, complemented
70#15689045C2211yescharacteristic, complemented
71#15689043C2211yescharacteristic, complemented
72#15689043C2211yescharacteristic, complemented
73#15689042C2211yescharacteristic, complemented
74#15689040C2211yescharacteristic, complemented
75#15689040C2211yescharacteristic, complemented
76#15689039C2211yescharacteristic
77#15689039C2211yescharacteristic
78#15689039C2211yescharacteristic, complemented
79#15689038C2211yescharacteristic
80#15689038C2211yescharacteristic
81#15689038C2211yescharacteristic
82#15689038C2211yescharacteristic
83#15689038C2211yescharacteristic, complemented
84#15689038C2211yescharacteristic, complemented
85#15689038C2211yescharacteristic, complemented
86#15689038C2211yescharacteristic, complemented
87#15689038C2211yescharacteristic, complemented
88#15689036C2211yescharacteristic, complemented
89#15689035C2211yescharacteristic, complemented
90#15689034C2211yescharacteristic, complemented
91#15689032C2211yescharacteristic
92#15689032C2211yescharacteristic
93#15689030C2211yescharacteristic, complemented
94#15689028C2211yescharacteristic, complemented
95#15689028C2211yescharacteristic, complemented
96#15689027C2211yescharacteristic, complemented
97#15689024C2211yescharacteristic, complemented
98#15689023C2211yescharacteristic
99#15689023C2211yescharacteristic
100#15689023C2211yescharacteristic
101#15689023C2211yescharacteristic
102#15689023C2211yescharacteristic, complemented
103#15689019C2211yescharacteristic, complemented
104#15689018C2211yescharacteristic, complemented
105#15689018C2211yescharacteristic, complemented
106#15689018C2211yescharacteristic, complemented
107#15689017C2211yescharacteristic, complemented
108#15689016C2211yescharacteristic, complemented
109#15689016C2211yescharacteristic, complemented
110#15689015C2211yescharacteristic, complemented
111#15689015C2211yescharacteristic, complemented
112#15689013C2211yescharacteristic, complemented
113#15689013C2211yescharacteristic, complemented
114#15689013C2211yescharacteristic, complemented
115#15689013C2211yescharacteristic, complemented
116#15689012C2211yescharacteristic, complemented
117#15689011C2211yescharacteristic, complemented
118#15689011C2211yescharacteristic, complemented
119#15689010C2211yescharacteristic, complemented
120#15689009C2211yescharacteristic, complemented
121#15689008C2211yescharacteristic, complemented
122#15689005C2211yescharacteristic, complemented
123#15689005C2211yescharacteristic, complemented
124#15689005C2211yescharacteristic, complemented
125#15689004C2211yescharacteristic, complemented
126#15689004C2211yescharacteristic, complemented
127#15689002C2211yescharacteristic
128#15689002C2211yescharacteristic
129#15689001C2211yescharacteristic, complemented
130#15689001C2211yescharacteristic, complemented
131#15689000C2211yescharacteristic
132#15689000C2211yescharacteristic
133#15688999C2211yescharacteristic
134#15688999C2211yescharacteristic
135#15688999C2211yescharacteristic
136#15688999C2211yescharacteristic
137#15688999C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688998C2211yescharacteristic
142#15688997C2211yescharacteristic, complemented
143#15688997C2211yescharacteristic, complemented
144#15688997C2211yescharacteristic, complemented
145#15688996C2211yescharacteristic
146#15688996C2211yescharacteristic
147#15688995C2211yescharacteristic
148#15688994C2211yescharacteristic, complemented
149#15688994C2211yescharacteristic, complemented
150#15688994C2211yescharacteristic, complemented
151#15688994C2211yescharacteristic, complemented
152#15688994C2211yescharacteristic, complemented
153#15688990C2211yescharacteristic, complemented
154#15688988C2211yescharacteristic, complemented
155#15688985C2211yescharacteristic, complemented
156#15688985C2211yescharacteristic, complemented
157#15688985C2211yescharacteristic, complemented
158#15688982C2211yescharacteristic, complemented
159#15688982C2211yescharacteristic, complemented
160#15688981C2211yescharacteristic
161#15688981C2211yescharacteristic
162#15688980C2211yescharacteristic, complemented
163#15688979C2211yescharacteristic
164#15688978C2211yescharacteristic
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167C22⋊C4×Dic47C2211yescharacteristic
168C22⋊C4×Dic47C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C2×C22⋊Q8×C47C2211yescharacteristic
173C22×C22⋊C4×C47C2211yescharacteristic
174C47×#399C2211yescharacteristic, complemented
175C47×#399C2211yescharacteristic, complemented
176C47×#396C2211yescharacteristic, complemented
177C47×#396C2211yescharacteristic, complemented
178C47×#396C2211yescharacteristic, complemented
179C47×#396C2211yescharacteristic, complemented
180C47×#393C2211yescharacteristic, complemented
181C47×#393C2211yescharacteristic, complemented
182C47×#385C2211yescharacteristic
183C47×#385C2211yescharacteristic
184C47×#380C2211yescharacteristic
185C47×#379C2211yescharacteristic
186C47×#379C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×C22⋊D47—24no—
193C22×C22⋊D47—42no—
194C22×C22⋊D47—42no—
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C22×C4×D47—42no—
206C22×C4×D47—42no—
207C22×C4×D47—42no—
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213#13094019—42no—
214#13094017—42no—
215#13094013—42no—
216#13094010—42no—
217#13094010—42no—
218#13094010—42no—
219#13094009—42no—
220#13094009—42no—
221#13094002—42no—
222#13094002—42no—
223#13094001—24no—
224#13094001—42no—
225#13093997—42no—
226#13093997—42no—
227#13093994—42no—
228#13093993—42no—
229(C22⋊D47)⋊C4—24no—
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×C22⋊Dic47—42no—
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×(C2×D47)⋊C4—42no—
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×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
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
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C25×C47C2311yescharacteristic
333C22×Q8×C47C2311yescharacteristic
334C23×C4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336C22⋊Q8×C47—42no—
337C2×C4⋊C4×C47C2311yescharacteristic
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×C22⋊C4×C47—42no—
347C2×C22⋊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
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47—22no—
370C24×C47—22no—
371C24×C47—22no—
372C24×C47—41no—
373C24×C47—41no—
374C24×C47—41no—
375C24×C47—41no—
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C24×C47C2411yescharacteristic
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—22no—
382C23×D47—22no—
383C23×D47—22no—
384C23×D47—41no—
385C23×D47—41no—
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C2×Q8×C47—41no—
390C2×Q8×C47—41no—
391C2×Q8×C47—41no—
392C22×C4×C47—22no—
393C22×C4×C47—22no—
394C22×C4×C47—41no—
395C22×C4×C47—41no—
396C22×C4×C47—41no—
397C22×C4×C47—41no—
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
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
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—22no—
418C2×C22⋊D47—22no—
419C2×C22⋊D47—22no—
420C2×C22⋊D47—22no—
421C2×C22⋊D47—41no—
422C2×C22⋊D47—41no—
423C2×C22⋊D47—41no—
424C2×C22⋊D47—41no—
425C2×C22⋊D47—41no—
426C2×C22⋊D47—41no—
427C2×C22⋊D47—41no—
428C2×C22⋊D47—41no—
429C2×C22⋊D47—41no—
430C2×C22⋊D47—41no—
431C2×C22⋊D47—416no—
432C22×Dic47—22no—
433C22×Dic47—22no—
434C22×Dic47—22no—
435C22×Dic47—41no—
436C22×Dic47—41no—
437C22×Dic47—41no—
438C22×Dic47—41no—
439C22×Dic47—41no—
440C22×Dic47#4114yes—
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C2×D188—22no—
455C2×D188—22no—
456C2×D188—41no—
457C2×D188—41no—
458C2×D188—41no—
459C2×D188—41no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—416no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×Dic94—22no—
477C2×Dic94—22no—
478C2×Dic94—41no—
479C2×Dic94—41no—
480C2×Dic94—41no—
481C2×Dic94—41no—
482C4⋊C4×C47—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—
491C22⋊C4×C47—22no—
492C22⋊C4×C47—22no—
493C22⋊C4×C47—22no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—41no—
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⋊C4×C47—41no—
503C22⋊C4×C47—41no—
504C22⋊C4×C47—41no—
505C22⋊C4×C47—41no—
506C22⋊C4×C47—41no—
507C22⋊Dic47—22no—
508C22⋊Dic47—22no—
509C22⋊Dic47—22no—
510C22⋊Dic47—22no—
511C22⋊Dic47—22no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47—41no—
515C22⋊Dic47—41no—
516C22⋊Dic47—41no—
517C22⋊Dic47—41no—
518C22⋊Dic47—41no—
519C22⋊Dic47—41no—
520(C2×D47)⋊C4—22no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
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—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545(C2×D47)⋊C4—41no—
546(C2×D47)⋊C4—41no—
547C4⋊Dic47—22no—
548C4⋊Dic47—41no—
549C4⋊Dic47—41no—
550C4⋊Dic47—41no—
551Dic47⋊C4—22no—
552Dic47⋊C4—22no—
553Dic47⋊C4—22no—
554Dic47⋊C4—22no—
555Dic47⋊C4—22no—
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—
566C4×Dic47—22no—
567C4×Dic47—41no—
568C4×Dic47—41no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
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×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—44no—
592C23×C47—44no—
593C23×C47—44no—
594C23×C47—82no—
595C23×C47—82no—
596C23×C47—82no—
597C23×C47—82no—
598C23×C47C2×#4112yes—
599C23×C47H(5,𝔽2)12yes—
600C23×C472−1+412yes—
601C23×C47C2511yescharacteristic
602C22×D47—28no—
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—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—44no—
623C22×D47—44no—
624C22×D47—44no—
625C22×D47—44no—
626C22×D47—44no—
627C22×D47—44no—
628C22×D47H(5,𝔽2)12yes—
629C22×D47H(5,𝔽2)12yes—
630Q8×C47—82no—
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—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—44no—
668C2×C4×C47—82no—
669C22⋊D47—44no—
670C22⋊D47—44no—
671C22⋊D47—44no—
672C22⋊D47—44no—
673C22⋊D47—44no—
674C22⋊D47—82no—
675C22⋊D47—82no—
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—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—44no—
713C2×Dic47—44no—
714C2×Dic47—82no—
715C2×Dic47C2×#4112yes—
716C2×Dic47C2×#4112yes—
717C2×Dic47H(5,𝔽2)12yes—
718D188—82no—
719D188—82no—
720C4×D47—44no—
721C4×D47—44no—
722C4×D47—44no—
723C4×D47—44no—
724C4×D47—82no—
725Dic94—82no—
726Dic94—82no—
727#36793—471nomaximal, Sylow
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—22no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—88no—
749C22×C47#54214yes—
750C22×C47C22×#4111yescharacteristic
751C22×C47C2×H(5,𝔽2)11yescharacteristic
752C22×C47C2×H(5,𝔽2)11yescharacteristic
753C22×C47C2×H(5,𝔽2)11yescharacteristic
754C22×C47C2×H(5,𝔽2)11yescharacteristic
755C22×C47C2×2−1+411yescharacteristic
756C22×C47#58511yescharacteristic
757C2×D47—22no—
758C2×D47—22no—
759C2×D47—22no—
760C2×D47—22no—
761C2×D47—22no—
762C2×D47—22no—
763C2×D47—416no—
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—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788C4×C47—41no—
789C4×C47—41no—
790C4×C47—41no—
791Dic47—22no—
792Dic47—22no—
793Dic47—22no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801Dic47—41no—
802Dic47—41no—
803Dic47—41no—
804#2849—471no—
805#2848—471no—
806#2796—471no—
807#2761—471no—
808#2757—471no—
809#2751—471no—
810#2737—471no—
811#2730—471no—
812#2723—471no—
813#2715—471no—
814#2712—471no—
815#2710—471no—
816#2705—471no—
817#2701—471no—
818#2700—471no—
819#2691—471no—
820#2686—471no—
821#2672—471no—
822#2626D4711yescharacteristic, complemented
823#2622—471no—
824#2564—471no—
825#2549—471no—
826#2480—471no—
827#2480—471no—
828#2472—471no—
829#2472—471no—
830#2435—471no—
831#2408—471no—
832#2329—471no—
833#2318—471no—
834C2×#386—471no—
835C2×C47—24no—
836C2×C47—81no—
837C2×C47—81no—
838C2×C47C2×#54211yescharacteristic
839C2×C47#349011yescharacteristic
840C2×C47#350611yescharacteristic
841C2×C47#353211yescharacteristic
842C2×C47#353411yescharacteristic
843C2×C47#353511yescharacteristic
844C2×C47#353611yescharacteristic
845D47—42no—
846D47—42no—
847D47—81no—
848C23×D4—471no—
849C24×C4—471no—
850C2×#126—471no—
851C2×#126—471no—
852C2×#124—471no—
853C2×#124—471no—
854C2×#124—471no—
855C2×#124—471no—
856C2×#123—471no—
857C2×#123—471no—
858C2×C22⋊Q8—471no—
859C2×C22⋊Q8—471no—
860C2×C22⋊Q8—471no—
861C2×C22⋊Q8—471no—
862C2×C22⋊Q8C2×D4711yescharacteristic
863C2×#121—471no—
864C2×#121—471no—
865C2×#120—471no—
866C2×#120—471no—
867C2×C4×D4—471no—
868C22×C22⋊C4—471no—
869C22×C22⋊C4—471no—
870C22×C22⋊C4C2×D4711yescharacteristic
871#400—471no—
872#399—471no—
873#399C2×D4711yescharacteristic, complemented
874#399C2×D4711yescharacteristic, complemented
875#398—471no—
876#398—471no—
877#397—471no—
878#397—471no—
879#397—471no—
880#397—471no—
881#397—471no—
882#397—471no—
883#397—471no—
884#397—471no—
885#397—471no—
886#397—471no—
887#397—471no—
888#397—471no—
889#396—471no—
890#396—471no—
891#396C2×D4711yescharacteristic, complemented
892#396C2×D4711yescharacteristic, complemented
893#396C2×D4711yescharacteristic, complemented
894#396C2×D4711yescharacteristic, complemented
895#395—471no—
896#395—471no—
897#395—471no—
898#394—471no—
899#394—471no—
900#394—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#393—471no—
913#393—471no—
914#393—471no—
915#393C2×D4711yescharacteristic, complemented
916#393C2×D4711yescharacteristic, complemented
917#392—471no—
918#392—471no—
919#391—471no—
920#391—471no—
921#391—471no—
922#391—471no—
923#390—471no—
924#390—471no—
925#390—471no—
926#390—471no—
927#390—471no—
928#390—471no—
929#389—471no—
930#389—471no—
931#389—471no—
932#389—471no—
933#388—471no—
934#388—471no—
935#388—471no—
936#388—471no—
937#388—471no—
938#388—471no—
939#388—471no—
940#388—471no—
941#388—471no—
942#388—471no—
943#388—471no—
944#388—471no—
945#387—471no—
946#387—471no—
947#387—471no—
948#387—471no—
949#387—471no—
950#387—471no—
951#387—471no—
952#387—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386—471no—
966#386—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#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385C2×D4711yescharacteristic
980#385C2×D4711yescharacteristic
981#383—471no—
982#382—471no—
983#381—471no—
984#381—471no—
985#381—471no—
986#380—471no—
987#380—471no—
988#380—471no—
989#380—471no—
990#380—471no—
991#380C2×D4711yescharacteristic
992#379—471no—
993#379—471no—
994#379—471no—
995#379—471no—
996#379C2×D4711yescharacteristic
997#379C2×D4711yescharacteristic
998C4×C22⋊C4—471no—
999C4×C22⋊C4—471no—
1000C4×C22⋊C4—471no—
1001C2×#95—471no—
1002C2×#95—471no—
1003C47#3679311yescharacteristic, complemented, Sylow
1004C25—471no—
1005C25C22×D4711yescharacteristic
1006C22×Q8—471no—
1007C22×Q8—471no—
1008C22×Q8C22×D4711yescharacteristic
1009C22×D4—471no—
1010C22×D4—471no—
1011C22×D4—471no—
1012C22×D4—471no—
1013C22×D4—471no—
1014C22×D4—471no—
1015C22×D4—471no—
1016C22×D4—471no—
1017C22×D4—471no—
1018C22×D4—944no—
1019C22×D4—1882no—
1020C22×D4—1882no—
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4—471no—
1028C23×C4—471no—
1029C23×C4—1882no—
1030C23×C4—1882no—
1031C23×C4—1882no—
1032C23×C4C22×D4711yescharacteristic
1033C23×C4C22×D4711yescharacteristic
1034#126—1882no—
1035#126—1882no—
1036#124—1882no—
1037#124—1882no—
1038#124—1882no—
1039#124—1882no—
1040#123—1882no—
1041#123—1882no—
1042C22⋊Q8—42no—
1043C22⋊Q8—944no—
1044C22⋊Q8—1882no—
1045C22⋊Q8—1882no—
1046C22⋊Q8—1882no—
1047#121—1882no—
1048#121—1882no—
1049#120—1882no—
1050#120—1882no—
1051C4×D4—944no—
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⋊C4C22×D4711yescharacteristic
1072C2×C4⋊C4C22×D4711yescharacteristic
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×C22⋊C4—42no—
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⋊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—1882no—
1122C2×C22⋊C4—1882no—
1123C2×C22⋊C4C22×D4711yescharacteristic
1124C2×C22⋊C4C22×D4711yescharacteristic
1125C2×C22⋊C4C22×D4711yescharacteristic
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×C22⋊C4C22×D4711yescharacteristic
1136C2×C22⋊C4C22×D4711yescharacteristic
1137C2×C22⋊C4C22×D4711yescharacteristic
1138C2×C22⋊C4C22×D4711yescharacteristic
1139C2×C42—471no—
1140C2×C42—471no—
1141C2×C42—471no—
1142C2×C42—471no—
1143C2×C42—471no—
1144C2×C42—471no—
1145C2×C42—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#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95C22×D4711yescharacteristic
1181#95C22×D4711yescharacteristic
1182#95C22×D4711yescharacteristic
1183#95C22×D4711yescharacteristic
1184#95C22×D4711yescharacteristic
1185#95C22×D4711yescharacteristic
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—41no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—471no—
1194C24—471no—
1195C24—471no—
1196C24—942no—
1197C24—942no—
1198C24—942no—
1199C24—942no—
1200C24—942no—
1201C24—1881no—
1202C24—1881no—
1203C24C23×D4711yescharacteristic
1204C24C23×D4711yescharacteristic
1205C24C23×D4711yescharacteristic
1206C2×Q8—41no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—942no—
1210C2×Q8—942no—
1211C2×Q8—1881no—
1212C2×Q8—1881no—
1213C2×Q8—1881no—
1214C2×Q8—1881no—
1215C2×D4—942no—
1216C2×D4—942no—
1217C2×D4—942no—
1218C2×D4—942no—
1219C2×D4—942no—
1220C2×D4—942no—
1221C2×D4—942no—
1222C2×D4—942no—
1223C2×D4—942no—
1224C2×D4—942no—
1225C2×D4—942no—
1226C2×D4—942no—
1227C2×D4—942no—
1228C2×D4—1881no—
1229C2×D4—1881no—
1230C2×D4—1881no—
1231C2×D4—1881no—
1232C2×D4—1881no—
1233C2×D4—1881no—
1234C2×D4—1881no—
1235C2×D4—1881no—
1236C2×D4—1881no—
1237C2×D4—1881no—
1238C2×D4—1881no—
1239C2×D4—1881no—
1240C2×D4—1881no—
1241C2×D4—1881no—
1242C2×D4—18816no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—471no—
1250C22×C4—471no—
1251C22×C4—471no—
1252C22×C4—474no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—471no—
1262C22×C4—471no—
1263C22×C4—942no—
1264C22×C4—942no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
1270C22×C4—942no—
1271C22×C4—1881no—
1272C22×C4—1881no—
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×C4—18816no—
1282C22×C4—1881no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C22×C4C23×D4711yescharacteristic
1292C22×C4C23×D4711yescharacteristic
1293C22×C4C23×D4711yescharacteristic
1294C22×C4C23×D4711yescharacteristic
1295C22×C4C23×D4711yescharacteristic
1296C22×C4C23×D4711yescharacteristic
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—942no—
1309C4⋊C4—942no—
1310C4⋊C4—942no—
1311C4⋊C4—942no—
1312C4⋊C4—942no—
1313C4⋊C4—942no—
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—
1327C22⋊C4—22no—
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—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
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—942no—
1352C22⋊C4—942no—
1353C22⋊C4—942no—
1354C22⋊C4—942no—
1355C22⋊C4—942no—
1356C22⋊C4—942no—
1357C22⋊C4—942no—
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—
1378C22⋊C4—1881no—
1379C22⋊C4—1881no—
1380C22⋊C4—1881no—
1381C22⋊C4—1881no—
1382C22⋊C4—1881no—
1383C42—942no—
1384C42—1881no—
1385C42—1881no—
1386C42—1881no—
1387C42—1881no—
1388C42—1881no—
1389C42—1881no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—82no—
1412C23—82no—
1413C23—82no—
1414C23—82no—
1415C23—472no—
1416C23—472no—
1417C23—948no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—941no—
1431C23—941no—
1432C23—941no—
1433C23—941no—
1434C23—941no—
1435C23—941no—
1436C23—941no—
1437C23—1884no—
1438C23—1884no—
1439C23—1884no—
1440C23—1884no—
1441C23—1884no—
1442C23—1884no—
1443C23#41×D4712yes—
1444C23#1309406912yes—
1445C23#1309407212yes—
1446C23C24×D4711yescharacteristic
1447Q8—82no—
1448Q8—3762no—
1449Q8—3762no—
1450D4—3762no—
1451D4—3762no—
1452D4—3762no—
1453D4—3762no—
1454D4—1884no—
1455D4—1884no—
1456D4—1884no—
1457D4—1884no—
1458D4—1884no—
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—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—44no—
1496C2×C4—82no—
1497C2×C4—472no—
1498C2×C4—472no—
1499C2×C4—472no—
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—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—941no—
1535C2×C4—941no—
1536C2×C4—3762no—
1537C2×C4—3762no—
1538C2×C4—1884no—
1539C2×C4—1884no—
1540C2×C4—1884no—
1541C2×C4—1884no—
1542C2×C4—1884no—
1543C2×C4—1884no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—88no—
1565C22—942no—
1566C22—942no—
1567C22—942no—
1568C22—942no—
1569C22—942no—
1570C22—942no—
1571C22—18816no—
1572C22—1881no—
1573C22—1881no—
1574C22—1881no—
1575C22—1881no—
1576C22—1881no—
1577C22—1881no—
1578C22—1881no—
1579C22—1881no—
1580C22—1881no—
1581C22—1881no—
1582C22—1881no—
1583C22—1881no—
1584C22—1881no—
1585C22—1881no—
1586C22—1881no—
1587C22#1568974314yes—
1588C22C2×#41×D4711yescharacteristic
1589C22H(5,𝔽2)×D4711yescharacteristic
1590C22H(5,𝔽2)×D4711yescharacteristic
1591C22H(5,𝔽2)×D4711yescharacteristic
1592C22C2×#1309406911yescharacteristic
1593C22C2×#1309407211yescharacteristic
1594C22#1568995811yescharacteristic
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—942no—
1608C4—942no—
1609C4—942no—
1610C4—1881no—
1611C4—1881no—
1612C4—1881no—
1613C4—1881no—
1614C4—1881no—
1615C4—1881no—
1616C4—1881no—
1617C4—1881no—
1618C4—1881no—
1619C4—1881no—
1620C2—24no—
1621C2—81no—
1622C2—81no—
1623C2—3761no—
1624C2—1882no—
1625C2—1882no—
1626C2C2×#1568974311yescharacteristic
1627C2#2025707411yescharacteristic
1628C2#2025723511yescharacteristic
1629C2#2025754211yescharacteristic
1630C2#2025756811yescharacteristic
1631C2#2025760211yescharacteristic
1632C2#2025761411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2626C2
prime radical#20246743C2
hypercenter#2626D47
hypocenterC47#36793
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2626

Complements

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

NH ≅ G/Ntype
1. #20251683C2semidirect
2. #20251674C2semidirect
3. #20251237C2semidirect
4. #20250774C2semidirect
5. #20250732C2semidirect
6. #20250640C2semidirect
7. #20250436C2semidirect
8. #20250384C2semidirect
9. #20250300C2semidirect
10. #20250205C2semidirect
11. #20250159C2semidirect
12. #20250129C2semidirect
13. #20250066C2semidirect
14. #20249994C2semidirect
15. #20249991C2semidirect
16. #20249875C2semidirect
17. #20249799C2semidirect
18. #20249644C2semidirect
19. #20249161C2semidirect
20. #20248566C2semidirect
21. #20248396C2semidirect
22. #20247639C2semidirect
23. #20247633C2semidirect
24. #20247521C2semidirect
25. #20247511C2semidirect
26. #20247037C2semidirect
28. #20246119C2semidirect
29. #20246016C2semidirect
30. C2×#15688999C2semidirect
31. C47×#2626C2semidirect
34. C2×#13094019C22semidirect
35. C2×#13094017C22semidirect
36. C2×#13094013C22semidirect
39. C2×#13094010C22semidirect
40. C2×#13094009C22semidirect
41. C2×#13094009C22semidirect
42. C2×#13094002C22semidirect
43. C2×#13094002C22semidirect
53. #15689064C22semidirect
54. #15689058C22semidirect
55. #15689054C22semidirect
56. #15689053C22semidirect
57. #15689052C22semidirect
58. #15689051C22semidirect
59. #15689051C22semidirect
60. #15689051C22semidirect
61. #15689051C22semidirect
62. #15689051C22semidirect
63. #15689051C22semidirect
64. #15689051C22semidirect
65. #15689050C22semidirect
66. #15689049C22semidirect
67. #15689049C22semidirect
68. #15689048C22semidirect
69. #15689046C22semidirect
70. #15689045C22semidirect
71. #15689043C22semidirect
72. #15689043C22semidirect
73. #15689042C22semidirect
74. #15689040C22semidirect
75. #15689040C22semidirect
78. #15689039C22semidirect
83. #15689038C22semidirect
84. #15689038C22semidirect
85. #15689038C22semidirect
86. #15689038C22semidirect
87. #15689038C22semidirect
88. #15689036C22semidirect
89. #15689035C22semidirect
90. #15689034C22semidirect
93. #15689030C22semidirect
94. #15689028C22semidirect
95. #15689028C22semidirect
96. #15689027C22semidirect
97. #15689024C22semidirect
102. #15689023C22semidirect
103. #15689019C22semidirect
104. #15689018C22semidirect
105. #15689018C22semidirect
106. #15689018C22semidirect
107. #15689017C22semidirect
108. #15689016C22semidirect
109. #15689016C22semidirect
110. #15689015C22semidirect
111. #15689015C22semidirect
112. #15689013C22semidirect
113. #15689013C22semidirect
114. #15689013C22semidirect
115. #15689013C22semidirect
116. #15689012C22semidirect
117. #15689011C22semidirect
118. #15689011C22semidirect
119. #15689010C22semidirect
120. #15689009C22semidirect
121. #15689008C22semidirect
122. #15689005C22semidirect
123. #15689005C22semidirect
124. #15689005C22semidirect
125. #15689004C22semidirect
126. #15689004C22semidirect
129. #15689001C22semidirect
130. #15689001C22semidirect
142. #15688997C22semidirect
143. #15688997C22semidirect
144. #15688997C22semidirect
148. #15688994C22semidirect
149. #15688994C22semidirect
150. #15688994C22semidirect
151. #15688994C22semidirect
152. #15688994C22semidirect
153. #15688990C22semidirect
154. #15688988C22semidirect
155. #15688985C22semidirect
156. #15688985C22semidirect
157. #15688985C22semidirect
158. #15688982C22semidirect
159. #15688982C22semidirect
162. #15688980C22semidirect
174. C47×#399C22semidirect
175. C47×#399C22semidirect
176. C47×#396C22semidirect
177. C47×#396C22semidirect
178. C47×#396C22semidirect
179. C47×#396C22semidirect
180. C47×#393C22semidirect
181. C47×#393C22semidirect
822. #2626D47semidirect
873. #399C2×D47semidirect
874. #399C2×D47semidirect
891. #396C2×D47semidirect
892. #396C2×D47semidirect
893. #396C2×D47semidirect
894. #396C2×D47semidirect
915. #393C2×D47semidirect
916. #393C2×D47semidirect
1003. C47#36793semidirect

Maximal subgroups

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

subgroupindex
#202516832
#202516742
#202512372
#202507742
#202507322
#202506402
#202504362
#202503842
#202503002
#202502052
#202501592
#202501292
#202500662
#202499942
#202499912
#202498752
#202497992
#202496442
#202491612
#202485662
#202483962
#202476392
#202476332
#202475212
#202475112
#202470372
#202467432
#202461192
#202460162
C2×#156889992
C47×#26262
#3679347