Finite Group Databasebeta

← #26425138

Subgroups — #26425138

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#20251679C211yesmaximal, characteristic, complemented
2#20251676C211yesmaximal, characteristic, complemented
3#20251223C211yesmaximal, characteristic, complemented
4#20250776C211yesmaximal, characteristic, complemented
5#20250729C211yesmaximal, characteristic, complemented
6#20250634C211yesmaximal, characteristic, complemented
7#20250438C211yesmaximal, characteristic, complemented
8#20250392C211yesmaximal, characteristic, complemented
9#20250305C211yesmaximal, characteristic, complemented
10#20250201C211yesmaximal, characteristic, complemented
11#20250159C211yesmaximal, characteristic, complemented
12#20250123C211yesmaximal, characteristic, complemented
13#20250063C211yesmaximal, characteristic, complemented
14#20250005C211yesmaximal, characteristic, complemented
15#20249985C211yesmaximal, characteristic, complemented
16#20249873C211yesmaximal, characteristic, complemented
17#20249798C211yesmaximal, characteristic, complemented
18#20249642C211yesmaximal, characteristic, complemented
19#20249196C211yesmaximal, characteristic, complemented
20#20249165C211yesmaximal, characteristic, complemented
21#20248399C211yesmaximal, characteristic, complemented
22#20247639C211yesmaximal, characteristic, complemented
23#20247639C211yesmaximal, characteristic, complemented
24#20247519C211yesmaximal, characteristic, complemented
25#20247519C211yesmaximal, characteristic, complemented
26#20247040C211yesmaximal, characteristic, complemented
27#20246744C211yesmaximal, characteristic
28#20246123C211yesmaximal, characteristic, complemented
29#20246021C211yesmaximal, characteristic, complemented
30C2×#15689001C211yesmaximal, characteristic, complemented
31C47×#2564C211yesmaximal, characteristic, complemented
32C23×D188C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C2×#13094019C2211yescharacteristic, complemented
35C2×#13094019C2211yescharacteristic, complemented
36C2×#13094013C2211yescharacteristic
37C2×#13094013C2211yescharacteristic
38C2×#13094010C2211yescharacteristic, complemented
39C2×#13094010C2211yescharacteristic, complemented
40C2×#13094006C2211yescharacteristic, complemented
41C2×#13094006C2211yescharacteristic, complemented
42C2×#13094004C2211yescharacteristic, complemented
43C2×#13094004C2211yescharacteristic, complemented
44C2×#13094003C2211yescharacteristic
45C2×#13094003C2211yescharacteristic
46C2×#13093998C2211yescharacteristic
47C2×#13093998C2211yescharacteristic
48C2×#13093992C2211yescharacteristic
49C2×#13093992C2211yescharacteristic
50C22×(C2×D47)⋊C4C2211yescharacteristic
51C22×(C2×D47)⋊C4C2211yescharacteristic
52C22×(C2×D47)⋊C4C2211yescharacteristic
53#15689060C2211yescharacteristic, complemented
54#15689060C2211yescharacteristic, complemented
55#15689057C2211yescharacteristic, complemented
56#15689057C2211yescharacteristic, complemented
57#15689052C2211yescharacteristic, complemented
58#15689052C2211yescharacteristic, complemented
59#15689052C2211yescharacteristic, complemented
60#15689052C2211yescharacteristic, complemented
61#15689052C2211yescharacteristic, complemented
62#15689052C2211yescharacteristic, complemented
63#15689050C2211yescharacteristic, complemented
64#15689050C2211yescharacteristic, complemented
65#15689050C2211yescharacteristic, complemented
66#15689050C2211yescharacteristic, complemented
67#15689049C2211yescharacteristic, complemented
68#15689049C2211yescharacteristic, complemented
69#15689045C2211yescharacteristic, complemented
70#15689045C2211yescharacteristic, complemented
71#15689045C2211yescharacteristic, complemented
72#15689045C2211yescharacteristic, complemented
73#15689045C2211yescharacteristic, complemented
74#15689045C2211yescharacteristic, complemented
75#15689044C2211yescharacteristic, complemented
76#15689044C2211yescharacteristic, complemented
77#15689040C2211yescharacteristic
78#15689040C2211yescharacteristic
79#15689040C2211yescharacteristic
80#15689040C2211yescharacteristic
81#15689040C2211yescharacteristic
82#15689040C2211yescharacteristic
83#15689039C2211yescharacteristic, complemented
84#15689039C2211yescharacteristic, complemented
85#15689039C2211yescharacteristic, complemented
86#15689039C2211yescharacteristic, complemented
87#15689038C2211yescharacteristic, complemented
88#15689038C2211yescharacteristic, complemented
89#15689038C2211yescharacteristic, complemented
90#15689038C2211yescharacteristic, complemented
91#15689036C2211yescharacteristic, complemented
92#15689036C2211yescharacteristic, complemented
93#15689036C2211yescharacteristic, complemented
94#15689036C2211yescharacteristic, complemented
95#15689032C2211yescharacteristic
96#15689032C2211yescharacteristic
97#15689030C2211yescharacteristic, complemented
98#15689030C2211yescharacteristic, complemented
99#15689027C2211yescharacteristic, complemented
100#15689027C2211yescharacteristic, complemented
101#15689025C2211yescharacteristic
102#15689025C2211yescharacteristic
103#15689024C2211yescharacteristic
104#15689024C2211yescharacteristic
105#15689023C2211yescharacteristic, complemented
106#15689023C2211yescharacteristic, complemented
107#15689022C2211yescharacteristic, complemented
108#15689022C2211yescharacteristic, complemented
109#15689020C2211yescharacteristic, complemented
110#15689020C2211yescharacteristic, complemented
111#15689016C2211yescharacteristic, complemented
112#15689016C2211yescharacteristic, complemented
113#15689015C2211yescharacteristic, complemented
114#15689015C2211yescharacteristic, complemented
115#15689015C2211yescharacteristic, complemented
116#15689015C2211yescharacteristic, complemented
117#15689013C2211yescharacteristic, complemented
118#15689013C2211yescharacteristic, complemented
119#15689012C2211yescharacteristic, complemented
120#15689012C2211yescharacteristic, complemented
121#15689012C2211yescharacteristic, complemented
122#15689012C2211yescharacteristic, complemented
123#15689009C2211yescharacteristic, complemented
124#15689009C2211yescharacteristic, complemented
125#15689009C2211yescharacteristic, complemented
126#15689009C2211yescharacteristic, complemented
127#15689009C2211yescharacteristic, complemented
128#15689009C2211yescharacteristic, complemented
129#15689003C2211yescharacteristic
130#15689003C2211yescharacteristic
131#15689001C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689001C2211yescharacteristic
137#15689001C2211yescharacteristic
138#15689001C2211yescharacteristic
139#15688999C2211yescharacteristic, complemented
140#15688999C2211yescharacteristic, complemented
141#15688998C2211yescharacteristic
142#15688998C2211yescharacteristic
143#15688998C2211yescharacteristic
144#15688998C2211yescharacteristic
145#15688997C2211yescharacteristic, complemented
146#15688997C2211yescharacteristic, complemented
147#15688997C2211yescharacteristic, complemented
148#15688997C2211yescharacteristic, complemented
149#15688997C2211yescharacteristic, complemented
150#15688997C2211yescharacteristic, complemented
151#15688996C2211yescharacteristic
152#15688996C2211yescharacteristic
153#15688991C2211yescharacteristic, complemented
154#15688989C2211yescharacteristic, complemented
155#15688986C2211yescharacteristic, complemented
156#15688985C2211yescharacteristic, complemented
157#15688985C2211yescharacteristic, complemented
158#15688983C2211yescharacteristic
159#15688983C2211yescharacteristic, complemented
160#15688980C2211yescharacteristic, complemented
161#15688980C2211yescharacteristic, complemented
162#15688978C2211yescharacteristic
163#15688978C2211yescharacteristic
164#15688978C2211yescharacteristic
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168C22⋊C4×Dic47C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic
170C4×C22⋊Dic47C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C2×C22⋊Q8×C47C2211yescharacteristic
173C2×C4×D4×C47C2211yescharacteristic
174C47×#400C2211yescharacteristic, complemented
175C47×#399C2211yescharacteristic, complemented
176C47×#395C2211yescharacteristic, complemented
177C47×#393C2211yescharacteristic, complemented
178C47×#387C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#385C2211yescharacteristic, complemented
183C47×#385C2211yescharacteristic, complemented
184C47×#380C2211yescharacteristic
185C47×#380C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×D188—24no—
192C22×D188—42no—
193C22×D188—42no—
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C22×C4×D47—42no—
205C22×C4×D47—42no—
206C22×C4×D47—42no—
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211#13094019—42no—
212#13094019—42no—
213#13094013—42no—
214#13094013—42no—
215#13094010—42no—
216#13094010—42no—
217#13094006—42no—
218#13094006—42no—
219#13094004—42no—
220#13094004—42no—
221#13094003—42no—
222#13094003—42no—
223#13093998—42no—
224#13093998—42no—
225#13093992—42no—
226#13093992—42no—
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×(C2×D47)⋊C4—42no—
256C2×(C2×D47)⋊C4—42no—
257C2×(C2×D47)⋊C4—42no—
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(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×C4×Dic47C2311yescharacteristic
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×Q8×C47C2311yescharacteristic
333C22×D4×C47C2311yescharacteristic
334C23×C4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336C23×C4×C47C2311yescharacteristic
337C23×C4×C47C2311yescharacteristic
338C22⋊Q8×C47—24no—
339C4×D4×C47—24no—
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×C42×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—22no—
377C23×D47—22no—
378C23×D47—22no—
379C23×D47—41no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47—41no—
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C2×Q8×C47—22no—
390C2×Q8×C47—41no—
391C2×Q8×C47—41no—
392C2×D4×C47—22no—
393C2×D4×C47—22no—
394C2×D4×C47—22no—
395C22×C4×C47—22no—
396C22×C4×C47—22no—
397C22×C4×C47—22no—
398C22×C4×C47—22no—
399C22×C4×C47—41no—
400C22×C4×C47—41no—
401C22×C4×C47—41no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47#4114yes—
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C2×C22⋊D47—22no—
421C2×C22⋊D47—22no—
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—41no—
432C22×Dic47—22no—
433C22×Dic47—22no—
434C22×Dic47—41no—
435C22×Dic47—41no—
436C22×Dic47—41no—
437C22×Dic47—41no—
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C2×D188—22no—
451C2×D188—22no—
452C2×D188—22no—
453C2×D188—22no—
454C2×D188—22no—
455C2×D188—22no—
456C2×D188—22no—
457C2×D188—22no—
458C2×D188—41no—
459C2×D188—41no—
460C2×D188—41no—
461C2×D188—41no—
462C2×D188—416no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—22no—
466C2×C4×D47—22no—
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—41no—
474C2×C4×D47—41no—
475C2×C4×D47—416no—
476C2×Dic94—22no—
477C2×Dic94—41no—
478C2×Dic94—41no—
479C2×Dic94—41no—
480C2×Dic94—41no—
481C2×Dic94—41no—
482C4⋊C4×C47—22no—
483C4⋊C4×C47—22no—
484C4⋊C4×C47—22no—
485C4⋊C4×C47—22no—
486C4⋊C4×C47—22no—
487C4⋊C4×C47—41no—
488C4⋊C4×C47—41no—
489C4⋊C4×C47—41no—
490C22⋊C4×C47—22no—
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—
498C42×C47—22no—
499C22⋊Dic47—22no—
500C22⋊Dic47—22no—
501C22⋊Dic47—22no—
502C22⋊Dic47—22no—
503C22⋊Dic47—41no—
504C22⋊Dic47—41no—
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—41no—
518(C2×D47)⋊C4—41no—
519(C2×D47)⋊C4—41no—
520(C2×D47)⋊C4—41no—
521(C2×D47)⋊C4—41no—
522(C2×D47)⋊C4—41no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4—41no—
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—41no—
548C4⋊Dic47—41no—
549C4⋊Dic47—41no—
550C4⋊Dic47—41no—
551C4⋊Dic47—41no—
552C4⋊Dic47—41no—
553C4⋊Dic47—41no—
554C4⋊Dic47—41no—
555C4⋊Dic47—41no—
556C4⋊Dic47—41no—
557C4⋊Dic47—41no—
558C4⋊Dic47—41no—
559Dic47⋊C4—22no—
560Dic47⋊C4—41no—
561Dic47⋊C4—41no—
562Dic47⋊C4—41no—
563Dic47⋊C4—41no—
564Dic47⋊C4—41no—
565Dic47⋊C4—41no—
566Dic47⋊C4—41no—
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×C47C2×#4112yes—
585C23×C47H(5,𝔽2)12yes—
586C23×C472−1+412yes—
587C23×C47C2511yescharacteristic
588C22×D47—28no—
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—21no—
615C22×D47—44no—
616C22×D47—44no—
617C22×D47—44no—
618C22×D47—44no—
619C22×D47—44no—
620C22×D47—44no—
621C22×D47—44no—
622C22×D47—44no—
623C22×D47—44no—
624C22×D47—82no—
625C22×D47—82no—
626C22×D47—82no—
627C22×D47—82no—
628C22×D47H(5,𝔽2)12yes—
629C22×D47H(5,𝔽2)12yes—
630Q8×C47—82no—
631D4×C47—44no—
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—21no—
668C2×C4×C47—44no—
669C2×C4×C47—44no—
670C2×C4×C47—82no—
671C2×C4×C47—82no—
672C2×C4×C47C2×#4112yes—
673C2×C4×C47C2×#4112yes—
674C2×C4×C47H(5,𝔽2)12yes—
675C22⋊D47—82no—
676C22⋊D47—82no—
677C22⋊D47—82no—
678C22⋊D47—82no—
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—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—44no—
716C2×Dic47—82no—
717D188—44no—
718D188—44no—
719D188—44no—
720D188—44no—
721C4×D47—44no—
722C4×D47—44no—
723C4×D47—44no—
724C4×D47—44no—
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#54214yes—
742C22×C47C22×#4111yescharacteristic
743C22×C47C2×H(5,𝔽2)11yescharacteristic
744C22×C47C2×H(5,𝔽2)11yescharacteristic
745C22×C47C2×H(5,𝔽2)11yescharacteristic
746C22×C47C2×H(5,𝔽2)11yescharacteristic
747C22×C47C2×2−1+411yescharacteristic
748C22×C47#58511yescharacteristic
749C2×D47—22no—
750C2×D47—22no—
751C2×D47—22no—
752C2×D47—22no—
753C2×D47—22no—
754C2×D47—22no—
755C2×D47—416no—
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—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—88no—
779C4×C47—22no—
780C4×C47—22no—
781C4×C47—22no—
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—
791C4×C47—41no—
792Dic47—41no—
793Dic47—41no—
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#2626—471no—
823#2622—471no—
824#2564D4711yescharacteristic, complemented
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×C47C2×#54211yescharacteristic
838C2×C47#349011yescharacteristic
839C2×C47#350611yescharacteristic
840C2×C47#353211yescharacteristic
841C2×C47#353411yescharacteristic
842C2×C47#353511yescharacteristic
843C2×C47#353611yescharacteristic
844D47—42no—
845D47—42no—
846D47—81no—
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×D4C2×D4711yescharacteristic
868C22×C22⋊C4—471no—
869C22×C22⋊C4—471no—
870C22×C22⋊C4—471no—
871#400C2×D4711yescharacteristic, complemented
872#399—471no—
873#399—471no—
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#396—471no—
892#396—471no—
893#396—471no—
894#396—471no—
895#395—471no—
896#395—471no—
897#395C2×D4711yescharacteristic, complemented
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#393—471no—
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#387C2×D4711yescharacteristic, complemented
952#387C2×D4711yescharacteristic, complemented
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#386C2×D4711yescharacteristic
966#386C2×D4711yescharacteristic
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, complemented
980#385C2×D4711yescharacteristic, complemented
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#380C2×D4711yescharacteristic
991#380C2×D4711yescharacteristic
992#379—471no—
993#379—471no—
994#379—471no—
995#379—471no—
996#379—471no—
997#379—471no—
998C4×C22⋊C4—471no—
999C4×C22⋊C4—471no—
1000C4×C22⋊C4—471no—
1001C2×#95—471no—
1002C2×#95C2×D4711yescharacteristic
1003C47#3679311yescharacteristic, complemented, Sylow
1004C25—471no—
1005C25—471no—
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—944no—
1018C22×D4—1882no—
1019C22×D4—1882no—
1020C22×D4C22×D4711yescharacteristic
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4—1882no—
1028C23×C4—1882no—
1029C23×C4—1882no—
1030C23×C4C22×D4711yescharacteristic
1031C23×C4C22×D4711yescharacteristic
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—24no—
1043C22⋊Q8—1882no—
1044C22⋊Q8—1882no—
1045C22⋊Q8—1882no—
1046C22⋊Q8—1882no—
1047#121—1882no—
1048#121—1882no—
1049#120—1882no—
1050#120—1882no—
1051C4×D4—24no—
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⋊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—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊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—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—1882no—
1129C2×C22⋊C4—1882no—
1130C2×C22⋊C4—1882no—
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×C42C22×D4711yescharacteristic
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#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180#95C22×D4711yescharacteristic
1181#95C22×D4711yescharacteristic
1182#95C22×D4711yescharacteristic
1183#95C22×D4711yescharacteristic
1184#95C22×D4711yescharacteristic
1185#95C22×D4711yescharacteristic
1186C24—471no—
1187C24—471no—
1188C24—471no—
1189C24—471no—
1190C24—942no—
1191C24—942no—
1192C24—942no—
1193C24—942no—
1194C24—942no—
1195C24—942no—
1196C24—942no—
1197C24—942no—
1198C24—1881no—
1199C24—1881no—
1200C24—1881no—
1201C24—1881no—
1202C24—1881no—
1203C24—1881no—
1204C24C23×D4711yescharacteristic
1205C24C23×D4711yescharacteristic
1206C2×Q8—22no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—942no—
1210C2×Q8—1881no—
1211C2×Q8—1881no—
1212C2×Q8—1881no—
1213C2×Q8—1881no—
1214C2×Q8—1881no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
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—18816no—
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—1881no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
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—471no—
1264C22×C4—471no—
1265C22×C4—471no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
1270C22×C4—942no—
1271C22×C4—942no—
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—18816no—
1281C22×C4—1881no—
1282C22×C4—1881no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4#1062535214yes—
1286C22×C4C23×D4711yescharacteristic
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—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—942no—
1308C4⋊C4—1881no—
1309C4⋊C4—1881no—
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—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—942no—
1336C22⋊C4—942no—
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—1881no—
1350C22⋊C4—1881no—
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—
1378C22⋊C4—1881no—
1379C22⋊C4—1881no—
1380C22⋊C4—1881no—
1381C22⋊C4—1881no—
1382C22⋊C4—1881no—
1383C42—22no—
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—472no—
1402C23—472no—
1403C23—948no—
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—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—3762no—
1431C23—3762no—
1432C23—3762no—
1433C23—3762no—
1434C23—1884no—
1435C23—1884no—
1436C23—1884no—
1437C23—1884no—
1438C23—1884no—
1439C23—1884no—
1440C23—1884no—
1441C23—1884no—
1442C23—1884no—
1443C23C2×#1062535212yes—
1444C23#1309407012yes—
1445C23#1309407212yes—
1446C23C24×D4711yescharacteristic
1447Q8—82no—
1448Q8—3762no—
1449Q8—3762no—
1450D4—44no—
1451D4—3762no—
1452D4—3762no—
1453D4—3762no—
1454D4—3762no—
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—44no—
1497C2×C4—82no—
1498C2×C4—82no—
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—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—3762no—
1536C2×C4—1884no—
1537C2×C4—1884no—
1538C2×C4—1884no—
1539C2×C4—1884no—
1540C2×C4—1884no—
1541C2×C4C2×#1062535212yes—
1542C2×C4C2×#1062535212yes—
1543C2×C4#1309407012yes—
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—942no—
1558C22—942no—
1559C22—942no—
1560C22—942no—
1561C22—942no—
1562C22—942no—
1563C22—3768no—
1564C22—18816no—
1565C22—1881no—
1566C22—1881no—
1567C22—1881no—
1568C22—1881no—
1569C22—1881no—
1570C22—1881no—
1571C22—1881no—
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#1568974614yes—
1588C22C22×#1062535211yescharacteristic
1589C22H(5,𝔽2)×D4711yescharacteristic
1590C22H(5,𝔽2)×D4711yescharacteristic
1591C22C2×#1309407011yescharacteristic
1592C22C2×#1309407011yescharacteristic
1593C22C2×#1309407211yescharacteristic
1594C22#1568995911yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—1881no—
1609C4—1881no—
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—3761no—
1623C2—3761no—
1624C2—1882no—
1625C2—1882no—
1626C2C2×#1568974611yescharacteristic
1627C2#2025707611yescharacteristic
1628C2#2025723711yescharacteristic
1629C2#2025754411yescharacteristic
1630C2#2025758111yescharacteristic
1631C2#2025759211yescharacteristic
1632C2#2025761611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2564C2
prime radical#20246744C2
hypercenter#2564D47
hypocenterC47#36793
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2564

Complements

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

NH ≅ G/Ntype
1. #20251679C2semidirect
2. #20251676C2semidirect
3. #20251223C2semidirect
4. #20250776C2semidirect
5. #20250729C2semidirect
6. #20250634C2semidirect
7. #20250438C2semidirect
8. #20250392C2semidirect
9. #20250305C2semidirect
10. #20250201C2semidirect
11. #20250159C2semidirect
12. #20250123C2semidirect
13. #20250063C2semidirect
14. #20250005C2semidirect
15. #20249985C2semidirect
16. #20249873C2semidirect
17. #20249798C2semidirect
18. #20249642C2semidirect
19. #20249196C2semidirect
20. #20249165C2semidirect
21. #20248399C2semidirect
22. #20247639C2semidirect
23. #20247639C2semidirect
24. #20247519C2semidirect
25. #20247519C2semidirect
26. #20247040C2semidirect
28. #20246123C2semidirect
29. #20246021C2semidirect
30. C2×#15689001C2semidirect
31. C47×#2564C2semidirect
34. C2×#13094019C22semidirect
35. C2×#13094019C22semidirect
38. C2×#13094010C22semidirect
39. C2×#13094010C22semidirect
40. C2×#13094006C22semidirect
41. C2×#13094006C22semidirect
42. C2×#13094004C22semidirect
43. C2×#13094004C22semidirect
53. #15689060C22semidirect
54. #15689060C22semidirect
55. #15689057C22semidirect
56. #15689057C22semidirect
57. #15689052C22semidirect
58. #15689052C22semidirect
59. #15689052C22semidirect
60. #15689052C22semidirect
61. #15689052C22semidirect
62. #15689052C22semidirect
63. #15689050C22semidirect
64. #15689050C22semidirect
65. #15689050C22semidirect
66. #15689050C22semidirect
67. #15689049C22semidirect
68. #15689049C22semidirect
69. #15689045C22semidirect
70. #15689045C22semidirect
71. #15689045C22semidirect
72. #15689045C22semidirect
73. #15689045C22semidirect
74. #15689045C22semidirect
75. #15689044C22semidirect
76. #15689044C22semidirect
83. #15689039C22semidirect
84. #15689039C22semidirect
85. #15689039C22semidirect
86. #15689039C22semidirect
87. #15689038C22semidirect
88. #15689038C22semidirect
89. #15689038C22semidirect
90. #15689038C22semidirect
91. #15689036C22semidirect
92. #15689036C22semidirect
93. #15689036C22semidirect
94. #15689036C22semidirect
97. #15689030C22semidirect
98. #15689030C22semidirect
99. #15689027C22semidirect
100. #15689027C22semidirect
105. #15689023C22semidirect
106. #15689023C22semidirect
107. #15689022C22semidirect
108. #15689022C22semidirect
109. #15689020C22semidirect
110. #15689020C22semidirect
111. #15689016C22semidirect
112. #15689016C22semidirect
113. #15689015C22semidirect
114. #15689015C22semidirect
115. #15689015C22semidirect
116. #15689015C22semidirect
117. #15689013C22semidirect
118. #15689013C22semidirect
119. #15689012C22semidirect
120. #15689012C22semidirect
121. #15689012C22semidirect
122. #15689012C22semidirect
123. #15689009C22semidirect
124. #15689009C22semidirect
125. #15689009C22semidirect
126. #15689009C22semidirect
127. #15689009C22semidirect
128. #15689009C22semidirect
139. #15688999C22semidirect
140. #15688999C22semidirect
145. #15688997C22semidirect
146. #15688997C22semidirect
147. #15688997C22semidirect
148. #15688997C22semidirect
149. #15688997C22semidirect
150. #15688997C22semidirect
153. #15688991C22semidirect
154. #15688989C22semidirect
155. #15688986C22semidirect
156. #15688985C22semidirect
157. #15688985C22semidirect
159. #15688983C22semidirect
160. #15688980C22semidirect
161. #15688980C22semidirect
174. C47×#400C22semidirect
175. C47×#399C22semidirect
176. C47×#395C22semidirect
177. C47×#393C22semidirect
178. C47×#387C22semidirect
179. C47×#387C22semidirect
182. C47×#385C22semidirect
183. C47×#385C22semidirect
824. #2564D47semidirect
871. #400C2×D47semidirect
874. #399C2×D47semidirect
897. #395C2×D47semidirect
916. #393C2×D47semidirect
951. #387C2×D47semidirect
952. #387C2×D47semidirect
979. #385C2×D47semidirect
980. #385C2×D47semidirect
1003. C47#36793semidirect

Maximal subgroups

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

subgroupindex
#202516792
#202516762
#202512232
#202507762
#202507292
#202506342
#202504382
#202503922
#202503052
#202502012
#202501592
#202501232
#202500632
#202500052
#202499852
#202498732
#202497982
#202496422
#202491962
#202491652
#202483992
#202476392
#202475192
#202470402
#202467442
#202461232
#202460212
C2×#156890012
C47×#25642
#3679347