Finite Group Databasebeta

← #26423498

Subgroups — #26423498

Order 12032.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251674C211yesmaximal, characteristic
2#20251672C211yesmaximal, characteristic
3#20250546C211yesmaximal, characteristic, complemented
4#20250543C211yesmaximal, characteristic, complemented
5#20250542C211yesmaximal, characteristic, complemented
6#20250539C211yesmaximal, characteristic, complemented
7#20250480C211yesmaximal, characteristic, complemented
8#20250476C211yesmaximal, characteristic, complemented
9#20250475C211yesmaximal, characteristic, complemented
10#20250471C211yesmaximal, characteristic, complemented
11#20249967C211yesmaximal, characteristic, complemented
12#20249958C211yesmaximal, characteristic, complemented
13#20249955C211yesmaximal, characteristic, complemented
14#20249845C211yesmaximal, characteristic, complemented
15#20249838C211yesmaximal, characteristic, complemented
16#20249834C211yesmaximal, characteristic, complemented
17#20249833C211yesmaximal, characteristic, complemented
18#20249501C211yesmaximal, characteristic, complemented
19#20249359C211yesmaximal, characteristic, complemented
20#20247896C211yesmaximal, characteristic, complemented
21#20247890C211yesmaximal, characteristic, complemented
22#20247890C211yesmaximal, characteristic, complemented
23#20247888C211yesmaximal, characteristic, complemented
24#20247640C211yesmaximal, characteristic
25#20247635C211yesmaximal, characteristic
26#20247630C211yesmaximal, characteristic
27#20247627C211yesmaximal, characteristic
28#20246122C211yesmaximal, characteristic, complemented
29#20246120C211yesmaximal, characteristic, complemented
30#381×D47C211yesmaximal, characteristic
31C47×#2698C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C2×#13094019C2211yescharacteristic
34C2×#13094019C2211yescharacteristic
35C2×#13094017C2211yescharacteristic
36C2×#13094002C2211yescharacteristic
37C2×#13094002C2211yescharacteristic
38C2×#13094001C2211yescharacteristic
39C2×#13094000C2211yescharacteristic
40C2×#13094000C2211yescharacteristic
41C2×C22⋊C4×D47C2211yescharacteristic
42C2×C22⋊C4×D47C2211yescharacteristic
43#15689065C2211yescharacteristic, complemented
44#15689065C2211yescharacteristic, complemented
45#15689065C2211yescharacteristic, complemented
46#15689065C2211yescharacteristic, complemented
47#15689064C2211yescharacteristic, complemented
48#15689064C2211yescharacteristic, complemented
49#15689064C2211yescharacteristic, complemented
50#15689063C2211yescharacteristic, complemented
51#15689063C2211yescharacteristic, complemented
52#15689063C2211yescharacteristic, complemented
53#15689063C2211yescharacteristic, complemented
54#15689062C2211yescharacteristic, complemented
55#15689062C2211yescharacteristic, complemented
56#15689061C2211yescharacteristic, complemented
57#15689061C2211yescharacteristic, complemented
58#15689057C2211yescharacteristic, complemented
59#15689057C2211yescharacteristic, complemented
60#15689057C2211yescharacteristic, complemented
61#15689057C2211yescharacteristic, complemented
62#15689056C2211yescharacteristic, complemented
63#15689056C2211yescharacteristic, complemented
64#15689055C2211yescharacteristic, complemented
65#15689055C2211yescharacteristic, complemented
66#15689054C2211yescharacteristic, complemented
67#15689053C2211yescharacteristic, complemented
68#15689052C2211yescharacteristic
69#15689052C2211yescharacteristic
70#15689052C2211yescharacteristic
71#15689052C2211yescharacteristic
72#15689051C2211yescharacteristic
73#15689051C2211yescharacteristic
74#15689051C2211yescharacteristic
75#15689051C2211yescharacteristic
76#15689050C2211yescharacteristic
77#15689049C2211yescharacteristic
78#15689046C2211yescharacteristic
79#15689046C2211yescharacteristic
80#15689045C2211yescharacteristic
81#15689045C2211yescharacteristic
82#15689043C2211yescharacteristic, complemented
83#15689043C2211yescharacteristic, complemented
84#15689042C2211yescharacteristic, complemented
85#15689030C2211yescharacteristic, complemented
86#15689028C2211yescharacteristic, complemented
87#15689027C2211yescharacteristic, complemented
88#15689021C2211yescharacteristic, complemented
89#15689020C2211yescharacteristic, complemented
90#15689020C2211yescharacteristic, complemented
91#15689018C2211yescharacteristic, complemented
92#15689018C2211yescharacteristic, complemented
93#15689018C2211yescharacteristic, complemented
94#15689018C2211yescharacteristic, complemented
95#15689016C2211yescharacteristic
96#15689016C2211yescharacteristic
97#15689016C2211yescharacteristic
98#15689015C2211yescharacteristic
99#15689014C2211yescharacteristic
100#15689014C2211yescharacteristic
101#15689013C2211yescharacteristic
102#15689012C2211yescharacteristic
103#15689012C2211yescharacteristic
104#15689011C2211yescharacteristic
105#15689011C2211yescharacteristic
106#15689010C2211yescharacteristic, complemented
107#15689009C2211yescharacteristic, complemented
108#15689008C2211yescharacteristic, complemented
109#15689007C2211yescharacteristic, complemented
110#15689007C2211yescharacteristic, complemented
111#15689007C2211yescharacteristic, complemented
112#15689006C2211yescharacteristic, complemented
113#15689006C2211yescharacteristic, complemented
114#15689006C2211yescharacteristic, complemented
115#15689005C2211yescharacteristic, complemented
116#15689005C2211yescharacteristic, complemented
117#15689004C2211yescharacteristic, complemented
118#15689004C2211yescharacteristic, complemented
119#15689004C2211yescharacteristic, complemented
120#15689004C2211yescharacteristic, complemented
121#15688997C2211yescharacteristic
122#15688997C2211yescharacteristic
123#15688997C2211yescharacteristic
124#15688997C2211yescharacteristic
125#15688997C2211yescharacteristic
126#15688997C2211yescharacteristic
127#15688996C2211yescharacteristic
128#15688995C2211yescharacteristic
129#15688995C2211yescharacteristic
130#15688994C2211yescharacteristic
131#15688994C2211yescharacteristic
132#15688994C2211yescharacteristic
133#15688994C2211yescharacteristic
134#15688994C2211yescharacteristic
135#15688994C2211yescharacteristic
136#15688994C2211yescharacteristic
137#15688994C2211yescharacteristic
138#15688994C2211yescharacteristic
139#15688994C2211yescharacteristic
140#15688988C2211yescharacteristic, complemented
141#15688988C2211yescharacteristic, complemented
142#15688987C2211yescharacteristic, complemented
143#15688986C2211yescharacteristic
144#15688985C2211yescharacteristic
145#15688985C2211yescharacteristic
146#15688985C2211yescharacteristic
147#15688985C2211yescharacteristic
148#15688984C2211yescharacteristic
149#15688984C2211yescharacteristic
150#15688983C2211yescharacteristic
151#15688982C2211yescharacteristic
152#15688982C2211yescharacteristic
153#15688982C2211yescharacteristic
154#15688982C2211yescharacteristic
155#15688981C2211yescharacteristic
156#15688980C2211yescharacteristic
157#15688980C2211yescharacteristic
158#15688980C2211yescharacteristic
159#15688980C2211yescharacteristic
160#15688978C2211yescharacteristic
161#15688978C2211yescharacteristic
162#15688978C2211yescharacteristic
163#15688978C2211yescharacteristic
164C4×(C2×D47)⋊C4C2211yescharacteristic
165C4×(C2×D47)⋊C4C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C2×#126×C47C2211yescharacteristic
173C2×C22⋊Q8×C47C2211yescharacteristic
174C47×#400C2211yescharacteristic, complemented
175C47×#398C2211yescharacteristic, complemented
176C47×#398C2211yescharacteristic, complemented
177C47×#397C2211yescharacteristic
178C47×#397C2211yescharacteristic
179C47×#395C2211yescharacteristic, complemented
180C47×#391C2211yescharacteristic, complemented
181C47×#389C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic
183C47×#387C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic
185C47×#382C2211yescharacteristic, complemented
186C47×#381C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C23×Dic47C2311yescharacteristic
190C22×C4×D47—24no—
191C22×C4×D47—42no—
192C22×C4×D47—42no—
193C22×C4×D47C2311yescharacteristic
194C22×C4×D47C2311yescharacteristic
195C22×C4×D47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197C22×C4×D47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201#13094019—42no—
202#13094019—42no—
203#13094017—42no—
204#13094002—24no—
205#13094002—42no—
206#13094001—42no—
207#13094000—24no—
208#13094000—42no—
209C2×C4⋊Dic47C2311yescharacteristic
210C2×C4⋊Dic47C2311yescharacteristic
211C2×C4⋊Dic47C2311yescharacteristic
212C2×C4⋊Dic47C2311yescharacteristic
213C2×C4⋊Dic47C2311yescharacteristic
214C2×C4⋊Dic47C2311yescharacteristic
215C2×C4⋊Dic47C2311yescharacteristic
216C2×C4⋊Dic47C2311yescharacteristic
217C2×C4⋊Dic47C2311yescharacteristic
218C2×Dic47⋊C4C2311yescharacteristic
219C2×Dic47⋊C4C2311yescharacteristic
220C2×Dic47⋊C4C2311yescharacteristic
221C2×Dic47⋊C4C2311yescharacteristic
222C2×Dic47⋊C4C2311yescharacteristic
223C2×Dic47⋊C4C2311yescharacteristic
224C2×Dic47⋊C4C2311yescharacteristic
225C2×Dic47⋊C4C2311yescharacteristic
226C2×Dic47⋊C4C2311yescharacteristic
227C2×Dic47⋊C4C2311yescharacteristic
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×Dic47⋊C4C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×C22⋊Dic47C2311yescharacteristic
241C2×C22⋊Dic47C2311yescharacteristic
242C2×C22⋊Dic47C2311yescharacteristic
243C2×C22⋊Dic47C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×(C2×D47)⋊C4C2311yescharacteristic
247C2×(C2×D47)⋊C4C2311yescharacteristic
248C2×(C2×D47)⋊C4C2311yescharacteristic
249C2×(C2×D47)⋊C4C2311yescharacteristic
250C2×(C2×D47)⋊C4C2311yescharacteristic
251C2×(C2×D47)⋊C4C2311yescharacteristic
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C22⋊C4×D47—42no—
267C22⋊C4×D47—42no—
268C2×C4×Dic47C2311yescharacteristic
269C2×C4×Dic47C2311yescharacteristic
270C2×C4×Dic47C2311yescharacteristic
271C2×C4×Dic47C2311yescharacteristic
272C2×C4×Dic47C2311yescharacteristic
273C2×C4×Dic47C2311yescharacteristic
274C47⋊#95C2311yescharacteristic
275C47⋊#95C2311yescharacteristic
276C47⋊#95C2311yescharacteristic
277C47⋊#95C2311yescharacteristic
278C47⋊#95C2311yescharacteristic
279C47⋊#95C2311yescharacteristic
280C47⋊#95C2311yescharacteristic
281C47⋊#95C2311yescharacteristic
282C47⋊#95C2311yescharacteristic
283C47⋊#95C2311yescharacteristic
284C47⋊#95C2311yescharacteristic
285C47⋊#95C2311yescharacteristic
286C47⋊#95C2311yescharacteristic
287C47⋊#95C2311yescharacteristic
288C47⋊#95C2311yescharacteristic
289C47⋊#95C2311yescharacteristic
290C47⋊#95C2311yescharacteristic
291C47⋊#95C2311yescharacteristic
292C47⋊#95C2311yescharacteristic
293C47⋊#95C2311yescharacteristic
294C47⋊#95C2311yescharacteristic
295C47⋊#95C2311yescharacteristic
296C47⋊#95C2311yescharacteristic
297C47⋊#95C2311yescharacteristic
298C47⋊#95C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C22×Q8×C47C2311yescharacteristic
321C23×C4×C47C2311yescharacteristic
322#126×C47—42no—
323C22⋊Q8×C47—42no—
324C2×C4⋊C4×C47C2311yescharacteristic
325C2×C4⋊C4×C47C2311yescharacteristic
326C2×C4⋊C4×C47C2311yescharacteristic
327C2×C4⋊C4×C47C2311yescharacteristic
328C2×C4⋊C4×C47C2311yescharacteristic
329C2×C4⋊C4×C47C2311yescharacteristic
330C2×C4⋊C4×C47C2311yescharacteristic
331C2×C4⋊C4×C47C2311yescharacteristic
332C2×C4⋊C4×C47C2311yescharacteristic
333C2×C4⋊C4×C47C2311yescharacteristic
334C2×C4⋊C4×C47C2311yescharacteristic
335C2×C22⋊C4×C47C2311yescharacteristic
336C2×C22⋊C4×C47C2311yescharacteristic
337C2×C22⋊C4×C47C2311yescharacteristic
338C2×C22⋊C4×C47C2311yescharacteristic
339C2×C22⋊C4×C47C2311yescharacteristic
340C2×C22⋊C4×C47C2311yescharacteristic
341C2×C42×C47C2311yescharacteristic
342C2×C42×C47C2311yescharacteristic
343#95×C47C2311yescharacteristic
344#95×C47C2311yescharacteristic
345#95×C47C2311yescharacteristic
346#95×C47C2311yescharacteristic
347#95×C47C2311yescharacteristic
348#95×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357C24×C47C2411yescharacteristic
358C23×D47—22no—
359C23×D47—22no—
360C23×D47—22no—
361C23×D47—22no—
362C23×D47—22no—
363C23×D47—41no—
364C23×D47—41no—
365C23×D47C2411yescharacteristic
366C23×D47C2411yescharacteristic
367C2×Q8×C47—22no—
368C2×Q8×C47—41no—
369C2×Q8×C47—41no—
370C22×C4×C47—22no—
371C22×C4×C47—22no—
372C22×C4×C47—41no—
373C22×C4×C47C2411yescharacteristic
374C22×C4×C47C2411yescharacteristic
375C22×C4×C47C2411yescharacteristic
376C22×C4×C47C2411yescharacteristic
377C22×C4×C47C2411yescharacteristic
378C22×C4×C47C2411yescharacteristic
379C22×C4×C47C2411yescharacteristic
380C22×C4×C47C2411yescharacteristic
381C22×C4×C47C2411yescharacteristic
382C22×C4×C47C2411yescharacteristic
383C22×C4×C47C2411yescharacteristic
384C22×C4×C47C2411yescharacteristic
385C22×C4×C47C2411yescharacteristic
386C22×C4×C47C2411yescharacteristic
387C22×Dic47—22no—
388C22×Dic47—22no—
389C22×Dic47—41no—
390C22×Dic47C2411yescharacteristic
391C22×Dic47C2411yescharacteristic
392C22×Dic47C2411yescharacteristic
393C22×Dic47C2411yescharacteristic
394C22×Dic47C2411yescharacteristic
395C22×Dic47C2411yescharacteristic
396C22×Dic47C2411yescharacteristic
397C22×Dic47C2411yescharacteristic
398C22×Dic47C2411yescharacteristic
399C22×Dic47C2411yescharacteristic
400C22×Dic47C2411yescharacteristic
401C22×Dic47C2411yescharacteristic
402C22×Dic47C2411yescharacteristic
403C22×Dic47C2411yescharacteristic
404C2×C4×D47—22no—
405C2×C4×D47—22no—
406C2×C4×D47—22no—
407C2×C4×D47—22no—
408C2×C4×D47—22no—
409C2×C4×D47—22no—
410C2×C4×D47—22no—
411C2×C4×D47—22no—
412C2×C4×D47—22no—
413C2×C4×D47—41no—
414C2×C4×D47—41no—
415C2×C4×D47—41no—
416C2×C4×D47—41no—
417C2×C4×D47—41no—
418C2×C4×D47—41no—
419C2×C4×D47—416no—
420C2×C4×D47—41no—
421C2×C4×D47—41no—
422C2×C4×D47—41no—
423C2×C4×D47—41no—
424C2×C4×D47—41no—
425C2×C4×D47—41no—
426C2×C4×D47—41no—
427C2×C4×D47—41no—
428C2×C4×D47#4114yes—
429C2×Dic94—22no—
430C2×Dic94—41no—
431C2×Dic94—41no—
432C4⋊C4×C47—22no—
433C4⋊C4×C47—41no—
434C4⋊C4×C47—41no—
435C4⋊C4×C47—41no—
436C4⋊C4×C47—41no—
437C4⋊C4×C47—41no—
438C4⋊C4×C47—41no—
439C4⋊C4×C47—41no—
440C4⋊C4×C47—41no—
441C4⋊C4×C47—41no—
442C4⋊C4×C47—41no—
443C22⋊C4×C47—22no—
444C22⋊C4×C47—22no—
445C22⋊C4×C47—22no—
446C22⋊C4×C47—22no—
447C22⋊C4×C47—41no—
448C22⋊C4×C47—41no—
449C42×C47—41no—
450C42×C47—41no—
451C22⋊Dic47—22no—
452C22⋊Dic47—22no—
453C22⋊Dic47—41no—
454C22⋊Dic47—41no—
455C22⋊Dic47—41no—
456C22⋊Dic47—41no—
457(C2×D47)⋊C4—22no—
458(C2×D47)⋊C4—22no—
459(C2×D47)⋊C4—22no—
460(C2×D47)⋊C4—22no—
461(C2×D47)⋊C4—22no—
462(C2×D47)⋊C4—22no—
463(C2×D47)⋊C4—22no—
464(C2×D47)⋊C4—22no—
465(C2×D47)⋊C4—22no—
466(C2×D47)⋊C4—22no—
467(C2×D47)⋊C4—22no—
468(C2×D47)⋊C4—22no—
469(C2×D47)⋊C4—22no—
470(C2×D47)⋊C4—22no—
471(C2×D47)⋊C4—41no—
472(C2×D47)⋊C4—41no—
473(C2×D47)⋊C4—41no—
474(C2×D47)⋊C4—41no—
475(C2×D47)⋊C4—41no—
476(C2×D47)⋊C4—41no—
477C4⋊Dic47—22no—
478C4⋊Dic47—41no—
479C4⋊Dic47—41no—
480C4⋊Dic47—41no—
481C4⋊Dic47—41no—
482C4⋊Dic47—41no—
483C4⋊Dic47—41no—
484C4⋊Dic47—41no—
485C4⋊Dic47—41no—
486Dic47⋊C4—22no—
487Dic47⋊C4—22no—
488Dic47⋊C4—22no—
489Dic47⋊C4—22no—
490Dic47⋊C4—41no—
491Dic47⋊C4—41no—
492Dic47⋊C4—41no—
493Dic47⋊C4—41no—
494Dic47⋊C4—41no—
495Dic47⋊C4—41no—
496Dic47⋊C4—41no—
497Dic47⋊C4—41no—
498Dic47⋊C4—41no—
499Dic47⋊C4—41no—
500Dic47⋊C4—41no—
501Dic47⋊C4—41no—
502Dic47⋊C4—41no—
503Dic47⋊C4—41no—
504Dic47⋊C4—41no—
505Dic47⋊C4—41no—
506Dic47⋊C4—41no—
507Dic47⋊C4—41no—
508C4×Dic47—41no—
509C4×Dic47—41no—
510C4×Dic47—41no—
511C4×Dic47—41no—
512C4×Dic47—41no—
513C4×Dic47—41no—
514C23×C47—21no—
515C23×C47—21no—
516C23×C47—21no—
517C23×C47—21no—
518C23×C47—21no—
519C23×C47—21no—
520C23×C47H(5,𝔽2)12yes—
521C23×C47C2511yescharacteristic
522C22×D47—21no—
523C22×D47—21no—
524C22×D47—21no—
525C22×D47—21no—
526C22×D47—28no—
527C22×D47—21no—
528C22×D47—21no—
529C22×D47—21no—
530C22×D47—21no—
531C22×D47—21no—
532C22×D47—21no—
533C22×D47—44no—
534C22×D47—44no—
535C22×D47—44no—
536C22×D47—44no—
537C22×D47—44no—
538C22×D47—44no—
539C22×D47C2×#4112yes—
540C22×D47H(5,𝔽2)12yes—
541C22×D472−1+412yes—
542C22×D472−1+412yes—
543Q8×C47—82no—
544C2×C4×C47—21no—
545C2×C4×C47—21no—
546C2×C4×C47—21no—
547C2×C4×C47—21no—
548C2×C4×C47—21no—
549C2×C4×C47—21no—
550C2×C4×C47—21no—
551C2×C4×C47—21no—
552C2×C4×C47—21no—
553C2×C4×C47—21no—
554C2×C4×C47—21no—
555C2×C4×C47—21no—
556C2×C4×C47—21no—
557C2×C4×C47—21no—
558C2×C4×C47—21no—
559C2×C4×C47—21no—
560C2×C4×C47—21no—
561C2×C4×C47—21no—
562C2×C4×C47—21no—
563C2×C4×C47—21no—
564C2×C4×C47—21no—
565C2×C4×C47—21no—
566C2×C4×C47—21no—
567C2×C4×C47—21no—
568C2×C4×C47—21no—
569C2×C4×C47—21no—
570C2×C4×C47—21no—
571C2×C4×C47—21no—
572C2×C4×C47—21no—
573C2×C4×C47—21no—
574C2×C4×C47—21no—
575C2×C4×C47—21no—
576C2×C4×C47—21no—
577C2×C4×C47—21no—
578C2×C4×C47—21no—
579C2×C4×C47—21no—
580C2×C4×C47—21no—
581C2×C4×C47—21no—
582C2×C4×C47—21no—
583C2×C4×C47—21no—
584C2×C4×C47—21no—
585C2×C4×C47—44no—
586C2×C4×C47C2×#4112yes—
587C2×Dic47—21no—
588C2×Dic47—21no—
589C2×Dic47—21no—
590C2×Dic47—21no—
591C2×Dic47—21no—
592C2×Dic47—21no—
593C2×Dic47—21no—
594C2×Dic47—21no—
595C2×Dic47—21no—
596C2×Dic47—21no—
597C2×Dic47—21no—
598C2×Dic47—21no—
599C2×Dic47—21no—
600C2×Dic47—21no—
601C2×Dic47—21no—
602C2×Dic47—21no—
603C2×Dic47—21no—
604C2×Dic47—21no—
605C2×Dic47—21no—
606C2×Dic47—21no—
607C2×Dic47—21no—
608C2×Dic47—21no—
609C2×Dic47—21no—
610C2×Dic47—21no—
611C2×Dic47—21no—
612C2×Dic47—21no—
613C2×Dic47—21no—
614C2×Dic47—21no—
615C2×Dic47—21no—
616C2×Dic47—21no—
617C2×Dic47—21no—
618C2×Dic47—21no—
619C2×Dic47—21no—
620C2×Dic47—21no—
621C2×Dic47—21no—
622C2×Dic47—21no—
623C2×Dic47—21no—
624C2×Dic47—21no—
625C2×Dic47—21no—
626C2×Dic47—21no—
627C2×Dic47—21no—
628C2×Dic47—44no—
629C2×Dic47C2×#4112yes—
630C4×D47—44no—
631C4×D47—44no—
632C4×D47—44no—
633C4×D47—44no—
634C4×D47—82no—
635C4×D47—82no—
636C4×D47—82no—
637C4×D47—82no—
638Dic94—82no—
639#36732—471nomaximal, Sylow
640C22×C47—22no—
641C22×C47—22no—
642C22×C47—22no—
643C22×C47—41no—
644C22×C47—41no—
645C22×C47—41no—
646C22×C47—41no—
647C22×C47C22×#4111yescharacteristic
648C22×C47C2×H(5,𝔽2)11yescharacteristic
649C22×C47C2×H(5,𝔽2)11yescharacteristic
650C22×C47C2×2−1+411yescharacteristic
651C22×C47C2×2−1+411yescharacteristic
652C22×C47#58511yescharacteristic
653C22×C47#58511yescharacteristic
654C2×D47—22no—
655C2×D47—22no—
656C2×D47—22no—
657C2×D47—22no—
658C2×D47—22no—
659C2×D47—22no—
660C2×D47—22no—
661C2×D47—22no—
662C2×D47—22no—
663C2×D47—416no—
664C2×D47—41no—
665C2×D47—41no—
666C2×D47—41no—
667C2×D47—41no—
668C2×D47#54114yes—
669C4×C47—22no—
670C4×C47—41no—
671C4×C47—41no—
672C4×C47—41no—
673C4×C47—41no—
674C4×C47—41no—
675C4×C47—41no—
676C4×C47—41no—
677C4×C47—41no—
678C4×C47—41no—
679C4×C47—41no—
680C4×C47—41no—
681C4×C47—41no—
682C4×C47—41no—
683Dic47—22no—
684Dic47—41no—
685Dic47—41no—
686Dic47—41no—
687Dic47—41no—
688Dic47—41no—
689Dic47—41no—
690Dic47—41no—
691Dic47—41no—
692Dic47—41no—
693Dic47—41no—
694Dic47—41no—
695Dic47—41no—
696Dic47—41no—
697#2848—471no—
698#2848—471no—
699#2744—471no—
700#2744—471no—
701#2744—471no—
702#2744—471no—
703#2739—471no—
704#2739—471no—
705#2739—471no—
706#2739—471no—
707#2698—471no—
708#2698—471no—
709#2698—471no—
710#2698D4711yescharacteristic, complemented
711#2689—471no—
712#2689—471no—
713#2689—471no—
714#2689—471no—
715#2659—471no—
716#2646—471no—
717#2505—471no—
718#2505—471no—
719#2505—471no—
720#2505—471no—
721#2480—471no—
722#2480—471no—
723#2480—471no—
724#2480—471no—
725#2329—471no—
726#2329—471no—
727C2×#381—471no—
728C2×C47—42no—
729C2×C47C2×#54111yescharacteristic
730C2×C47#349011yescharacteristic
731C2×C47#349311yescharacteristic
732C2×C47#353511yescharacteristic
733C2×C47#353511yescharacteristic
734C2×C47#353511yescharacteristic
735C2×C47#353511yescharacteristic
736D47—24no—
737D47—42no—
738C24×C4—471no—
739C2×#126—471no—
740C2×#126—471no—
741C2×#126—471no—
742C2×#126C2×D4711yescharacteristic
743C2×C22⋊Q8—471no—
744C2×C22⋊Q8—471no—
745C2×C22⋊Q8—471no—
746C2×C22⋊Q8—471no—
747C2×C22⋊Q8—471no—
748C2×C22⋊Q8C2×D4711yescharacteristic
749C22×C22⋊C4—471no—
750C22×C22⋊C4—471no—
751#400—471no—
752#400—471no—
753#400—471no—
754#400—471no—
755#400—471no—
756#400—471no—
757#400—471no—
758#400—471no—
759#400—471no—
760#400—471no—
761#400—471no—
762#400—471no—
763#400—471no—
764#400—471no—
765#400—471no—
766#400C2×D4711yescharacteristic, complemented
767#398—471no—
768#398—471no—
769#398—471no—
770#398—471no—
771#398—471no—
772#398—471no—
773#398—471no—
774#398—471no—
775#398—471no—
776#398—471no—
777#398C2×D4711yescharacteristic, complemented
778#398C2×D4711yescharacteristic, complemented
779#397—471no—
780#397—471no—
781#397—471no—
782#397—471no—
783#397—471no—
784#397—471no—
785#397—471no—
786#397—471no—
787#397—471no—
788#397—471no—
789#397C2×D4711yescharacteristic
790#397C2×D4711yescharacteristic
791#396—471no—
792#396—471no—
793#396—471no—
794#396—471no—
795#395—471no—
796#395—471no—
797#395—471no—
798#395C2×D4711yescharacteristic, complemented
799#391—471no—
800#391—471no—
801#391—471no—
802#391C2×D4711yescharacteristic, complemented
803#389—471no—
804#389—471no—
805#389—471no—
806#389—471no—
807#389—471no—
808#389—471no—
809#389—471no—
810#389C2×D4711yescharacteristic, complemented
811#388—471no—
812#388—471no—
813#388—471no—
814#388—471no—
815#388—471no—
816#388—471no—
817#388—471no—
818#388—471no—
819#388—471no—
820#388—471no—
821#388—471no—
822#388C2×D4711yescharacteristic
823#387—471no—
824#387—471no—
825#387—471no—
826#387—471no—
827#387—471no—
828#387—471no—
829#387—471no—
830#387—471no—
831#387—471no—
832#387—471no—
833#387—471no—
834#387—471no—
835#387—471no—
836#387—471no—
837#387—471no—
838#387C2×D4711yescharacteristic, complemented
839#385—471no—
840#385—471no—
841#385—471no—
842#385—471no—
843#385—471no—
844#385—471no—
845#385—471no—
846#385—471no—
847#385—471no—
848#385—471no—
849#385—471no—
850#385—471no—
851#385—471no—
852#385—471no—
853#385—471no—
854#385—471no—
855#385—471no—
856#385—471no—
857#385—471no—
858#385C2×D4711yescharacteristic
859#382—471no—
860#382—471no—
861#382—471no—
862#382C2×D4711yescharacteristic, complemented
863#381—471no—
864#381—471no—
865#381—471no—
866#381—471no—
867#381—471no—
868#381—471no—
869#381—471no—
870#381C2×D4711yescharacteristic
871#380—471no—
872#380—471no—
873#380—471no—
874#380—471no—
875#380—471no—
876#380—471no—
877#380—471no—
878#380—471no—
879#380—471no—
880#380—471no—
881#379—471no—
882#379—471no—
883#379—471no—
884#379—471no—
885C4×C22⋊C4—471no—
886C4×C22⋊C4—471no—
887C4×C22⋊C4—471no—
888C4×C22⋊C4—471no—
889C2×#95—471no—
890C2×#95—471no—
891C2×#95—471no—
892C2×#95—471no—
893C47#3673211yescharacteristic, complemented, Sylow
894C25—471no—
895C22×Q8—471no—
896C22×Q8C22×D4711yescharacteristic
897C23×C4—471no—
898C23×C4—471no—
899C23×C4—471no—
900C23×C4—471no—
901C23×C4—471no—
902C23×C4—471no—
903C23×C4—471no—
904C23×C4—471no—
905C23×C4—471no—
906C23×C4—944no—
907C23×C4—1882no—
908C23×C4—1882no—
909C23×C4C22×D4711yescharacteristic
910#126—42no—
911#126—1882no—
912#126—1882no—
913#126—1882no—
914C22⋊Q8—42no—
915C22⋊Q8—944no—
916C22⋊Q8—944no—
917C22⋊Q8—1882no—
918C22⋊Q8—1882no—
919C22⋊Q8—1882no—
920C2×C4⋊C4—471no—
921C2×C4⋊C4—471no—
922C2×C4⋊C4—471no—
923C2×C4⋊C4—471no—
924C2×C4⋊C4—471no—
925C2×C4⋊C4—471no—
926C2×C4⋊C4—471no—
927C2×C4⋊C4—471no—
928C2×C4⋊C4—471no—
929C2×C4⋊C4—471no—
930C2×C4⋊C4—471no—
931C2×C4⋊C4—471no—
932C2×C4⋊C4—471no—
933C2×C4⋊C4—471no—
934C2×C4⋊C4—471no—
935C2×C4⋊C4—471no—
936C2×C4⋊C4—471no—
937C2×C4⋊C4—471no—
938C2×C4⋊C4—471no—
939C2×C4⋊C4—471no—
940C2×C4⋊C4—471no—
941C2×C4⋊C4—471no—
942C2×C4⋊C4—471no—
943C2×C4⋊C4—471no—
944C2×C4⋊C4—471no—
945C2×C4⋊C4—471no—
946C2×C4⋊C4—471no—
947C2×C4⋊C4—471no—
948C2×C4⋊C4—471no—
949C2×C4⋊C4—471no—
950C2×C4⋊C4—471no—
951C2×C4⋊C4C22×D4711yescharacteristic
952C2×C4⋊C4C22×D4711yescharacteristic
953C2×C4⋊C4C22×D4711yescharacteristic
954C2×C4⋊C4C22×D4711yescharacteristic
955C2×C4⋊C4C22×D4711yescharacteristic
956C2×C4⋊C4C22×D4711yescharacteristic
957C2×C4⋊C4C22×D4711yescharacteristic
958C2×C4⋊C4C22×D4711yescharacteristic
959C2×C4⋊C4C22×D4711yescharacteristic
960C2×C4⋊C4C22×D4711yescharacteristic
961C2×C4⋊C4C22×D4711yescharacteristic
962C2×C22⋊C4—471no—
963C2×C22⋊C4—471no—
964C2×C22⋊C4—471no—
965C2×C22⋊C4—471no—
966C2×C22⋊C4—471no—
967C2×C22⋊C4—471no—
968C2×C22⋊C4—471no—
969C2×C22⋊C4—471no—
970C2×C22⋊C4—471no—
971C2×C22⋊C4—471no—
972C2×C22⋊C4—471no—
973C2×C22⋊C4—471no—
974C2×C22⋊C4—471no—
975C2×C22⋊C4—471no—
976C2×C22⋊C4—471no—
977C2×C22⋊C4—471no—
978C2×C22⋊C4—471no—
979C2×C22⋊C4—471no—
980C2×C22⋊C4—471no—
981C2×C22⋊C4—471no—
982C2×C22⋊C4—471no—
983C2×C22⋊C4—471no—
984C2×C22⋊C4—471no—
985C2×C22⋊C4—471no—
986C2×C22⋊C4—471no—
987C2×C22⋊C4—471no—
988C2×C22⋊C4—1882no—
989C2×C22⋊C4—1882no—
990C2×C22⋊C4C22×D4711yescharacteristic
991C2×C22⋊C4C22×D4711yescharacteristic
992C2×C22⋊C4C22×D4711yescharacteristic
993C2×C22⋊C4C22×D4711yescharacteristic
994C2×C22⋊C4C22×D4711yescharacteristic
995C2×C22⋊C4C22×D4711yescharacteristic
996C2×C42—471no—
997C2×C42—471no—
998C2×C42—471no—
999C2×C42—471no—
1000C2×C42—471no—
1001C2×C42—471no—
1002C2×C42C22×D4711yescharacteristic
1003C2×C42C22×D4711yescharacteristic
1004#95—471no—
1005#95—471no—
1006#95—471no—
1007#95—471no—
1008#95—471no—
1009#95—471no—
1010#95—471no—
1011#95—471no—
1012#95—471no—
1013#95—471no—
1014#95—471no—
1015#95—471no—
1016#95—471no—
1017#95—471no—
1018#95—471no—
1019#95—471no—
1020#95—471no—
1021#95—471no—
1022#95—471no—
1023#95—471no—
1024#95—471no—
1025#95—471no—
1026#95—471no—
1027#95—471no—
1028#95—471no—
1029#95—471no—
1030#95—471no—
1031#95—471no—
1032#95—471no—
1033#95—471no—
1034#95—471no—
1035#95—471no—
1036#95—471no—
1037#95—471no—
1038#95—471no—
1039#95—471no—
1040#95—471no—
1041#95—471no—
1042#95—471no—
1043#95—471no—
1044#95—471no—
1045#95—471no—
1046#95—471no—
1047#95—471no—
1048#95—471no—
1049#95—471no—
1050#95C22×D4711yescharacteristic
1051#95C22×D4711yescharacteristic
1052#95C22×D4711yescharacteristic
1053#95C22×D4711yescharacteristic
1054#95C22×D4711yescharacteristic
1055#95C22×D4711yescharacteristic
1056#95C22×D4711yescharacteristic
1057#95C22×D4711yescharacteristic
1058#95C22×D4711yescharacteristic
1059#95C22×D4711yescharacteristic
1060#95C22×D4711yescharacteristic
1061#95C22×D4711yescharacteristic
1062#95C22×D4711yescharacteristic
1063#95C22×D4711yescharacteristic
1064C24—471no—
1065C24—471no—
1066C24—942no—
1067C24—942no—
1068C24—942no—
1069C24—942no—
1070C24—942no—
1071C24—1881no—
1072C24—1881no—
1073C24C23×D4711yescharacteristic
1074C2×Q8—22no—
1075C2×Q8—41no—
1076C2×Q8—41no—
1077C2×Q8—942no—
1078C2×Q8—1881no—
1079C2×Q8—1881no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—41no—
1083C22×C4—471no—
1084C22×C4—474no—
1085C22×C4—471no—
1086C22×C4—471no—
1087C22×C4—471no—
1088C22×C4—471no—
1089C22×C4—471no—
1090C22×C4—471no—
1091C22×C4—471no—
1092C22×C4—471no—
1093C22×C4—471no—
1094C22×C4—471no—
1095C22×C4—471no—
1096C22×C4—471no—
1097C22×C4—471no—
1098C22×C4—942no—
1099C22×C4—942no—
1100C22×C4—942no—
1101C22×C4—942no—
1102C22×C4—942no—
1103C22×C4—942no—
1104C22×C4—942no—
1105C22×C4—942no—
1106C22×C4—942no—
1107C22×C4—942no—
1108C22×C4—942no—
1109C22×C4—1881no—
1110C22×C4—1881no—
1111C22×C4—1881no—
1112C22×C4—1881no—
1113C22×C4—1881no—
1114C22×C4—1881no—
1115C22×C4—1881no—
1116C22×C4—1881no—
1117C22×C4—1881no—
1118C22×C4—1881no—
1119C22×C4—1881no—
1120C22×C4—1881no—
1121C22×C4—1881no—
1122C22×C4—1881no—
1123C22×C4—18816no—
1124C22×C4—1881no—
1125C22×C4C23×D4711yescharacteristic
1126C22×C4C23×D4711yescharacteristic
1127C22×C4C23×D4711yescharacteristic
1128C22×C4C23×D4711yescharacteristic
1129C22×C4C23×D4711yescharacteristic
1130C22×C4C23×D4711yescharacteristic
1131C22×C4C23×D4711yescharacteristic
1132C22×C4C23×D4711yescharacteristic
1133C22×C4C23×D4711yescharacteristic
1134C22×C4C23×D4711yescharacteristic
1135C22×C4C23×D4711yescharacteristic
1136C22×C4C23×D4711yescharacteristic
1137C22×C4C23×D4711yescharacteristic
1138C22×C4C23×D4711yescharacteristic
1139C4⋊C4—22no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—942no—
1151C4⋊C4—942no—
1152C4⋊C4—942no—
1153C4⋊C4—942no—
1154C4⋊C4—942no—
1155C4⋊C4—1881no—
1156C4⋊C4—1881no—
1157C4⋊C4—1881no—
1158C4⋊C4—1881no—
1159C4⋊C4—1881no—
1160C4⋊C4—1881no—
1161C4⋊C4—1881no—
1162C4⋊C4—1881no—
1163C4⋊C4—1881no—
1164C4⋊C4—1881no—
1165C4⋊C4—1881no—
1166C4⋊C4—1881no—
1167C4⋊C4—1881no—
1168C4⋊C4—1881no—
1169C4⋊C4—1881no—
1170C4⋊C4—1881no—
1171C4⋊C4—1881no—
1172C4⋊C4—1881no—
1173C4⋊C4—1881no—
1174C4⋊C4—1881no—
1175C4⋊C4—1881no—
1176C4⋊C4—1881no—
1177C4⋊C4—1881no—
1178C4⋊C4—1881no—
1179C4⋊C4—1881no—
1180C4⋊C4—1881no—
1181C22⋊C4—22no—
1182C22⋊C4—22no—
1183C22⋊C4—22no—
1184C22⋊C4—22no—
1185C22⋊C4—41no—
1186C22⋊C4—41no—
1187C22⋊C4—942no—
1188C22⋊C4—942no—
1189C22⋊C4—942no—
1190C22⋊C4—942no—
1191C22⋊C4—942no—
1192C22⋊C4—942no—
1193C22⋊C4—942no—
1194C22⋊C4—942no—
1195C22⋊C4—942no—
1196C22⋊C4—942no—
1197C22⋊C4—942no—
1198C22⋊C4—942no—
1199C22⋊C4—942no—
1200C22⋊C4—942no—
1201C22⋊C4—942no—
1202C22⋊C4—942no—
1203C22⋊C4—1881no—
1204C22⋊C4—1881no—
1205C22⋊C4—1881no—
1206C22⋊C4—1881no—
1207C22⋊C4—1881no—
1208C22⋊C4—1881no—
1209C22⋊C4—1881no—
1210C22⋊C4—1881no—
1211C22⋊C4—1881no—
1212C22⋊C4—1881no—
1213C42—41no—
1214C42—41no—
1215C42—1881no—
1216C42—1881no—
1217C42—1881no—
1218C42—1881no—
1219C42—1881no—
1220C42—1881no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—472no—
1228C23—472no—
1229C23—472no—
1230C23—472no—
1231C23—948no—
1232C23—941no—
1233C23—941no—
1234C23—941no—
1235C23—941no—
1236C23—941no—
1237C23—941no—
1238C23—941no—
1239C23—941no—
1240C23—941no—
1241C23—941no—
1242C23—1884no—
1243C23—1884no—
1244C23—1884no—
1245C23—1884no—
1246C23—1884no—
1247C23—1884no—
1248C23#1309406912yes—
1249C23C24×D4711yescharacteristic
1250Q8—82no—
1251Q8—3762no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—44no—
1294C2×C4—472no—
1295C2×C4—941no—
1296C2×C4—941no—
1297C2×C4—941no—
1298C2×C4—941no—
1299C2×C4—941no—
1300C2×C4—941no—
1301C2×C4—941no—
1302C2×C4—941no—
1303C2×C4—941no—
1304C2×C4—941no—
1305C2×C4—941no—
1306C2×C4—941no—
1307C2×C4—941no—
1308C2×C4—941no—
1309C2×C4—941no—
1310C2×C4—941no—
1311C2×C4—941no—
1312C2×C4—941no—
1313C2×C4—941no—
1314C2×C4—941no—
1315C2×C4—941no—
1316C2×C4—941no—
1317C2×C4—941no—
1318C2×C4—941no—
1319C2×C4—941no—
1320C2×C4—941no—
1321C2×C4—941no—
1322C2×C4—941no—
1323C2×C4—941no—
1324C2×C4—941no—
1325C2×C4—941no—
1326C2×C4—941no—
1327C2×C4—941no—
1328C2×C4—941no—
1329C2×C4—941no—
1330C2×C4—941no—
1331C2×C4—941no—
1332C2×C4—941no—
1333C2×C4—941no—
1334C2×C4—941no—
1335C2×C4—941no—
1336C2×C4—3762no—
1337C2×C4—3762no—
1338C2×C4—3762no—
1339C2×C4—3762no—
1340C2×C4—1884no—
1341C2×C4—1884no—
1342C2×C4—1884no—
1343C2×C4—1884no—
1344C2×C4—1884no—
1345C2×C4#41×D4712yes—
1346C22—22no—
1347C22—22no—
1348C22—22no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—474no—
1354C22—942no—
1355C22—942no—
1356C22—942no—
1357C22—942no—
1358C22—942no—
1359C22—942no—
1360C22—942no—
1361C22—942no—
1362C22—942no—
1363C22—18816no—
1364C22—1881no—
1365C22—1881no—
1366C22—1881no—
1367C22—1881no—
1368C22C2×#41×D4711yescharacteristic
1369C22H(5,𝔽2)×D4711yescharacteristic
1370C22C2×#1309406911yescharacteristic
1371C222−1+4×D4711yescharacteristic
1372C222−1+4×D4711yescharacteristic
1373C22#1568995911yescharacteristic
1374C22#1568996011yescharacteristic
1375C4—22no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—942no—
1390C4—1881no—
1391C4—1881no—
1392C4—1881no—
1393C4—1881no—
1394C4—1881no—
1395C4—1881no—
1396C4—1881no—
1397C4—1881no—
1398C4—1881no—
1399C4—1881no—
1400C4—1881no—
1401C4—1881no—
1402C4—1881no—
1403C2—42no—
1404C2—944no—
1405C2—1882no—
1406C2#541×D4711yescharacteristic
1407C2#2025707011yescharacteristic
1408C2#2025710611yescharacteristic
1409C2#2025758711yescharacteristic
1410C2#2025758911yescharacteristic
1411C2#2025759011yescharacteristic
1412C2#2025759911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2698C2
prime radicalC24×D47C23
hypercenter#2698D47
hypocenterC47#36732
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2698

Complements

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

NH ≅ G/Ntype
3. #20250546C2semidirect
4. #20250543C2semidirect
5. #20250542C2semidirect
6. #20250539C2semidirect
7. #20250480C2semidirect
8. #20250476C2semidirect
9. #20250475C2semidirect
10. #20250471C2semidirect
11. #20249967C2semidirect
12. #20249958C2semidirect
13. #20249955C2semidirect
14. #20249845C2semidirect
15. #20249838C2semidirect
16. #20249834C2semidirect
17. #20249833C2semidirect
18. #20249501C2semidirect
19. #20249359C2semidirect
20. #20247896C2semidirect
21. #20247890C2semidirect
22. #20247890C2semidirect
23. #20247888C2semidirect
28. #20246122C2semidirect
29. #20246120C2semidirect
31. C47×#2698C2semidirect
43. #15689065C22semidirect
44. #15689065C22semidirect
45. #15689065C22semidirect
46. #15689065C22semidirect
47. #15689064C22semidirect
48. #15689064C22semidirect
49. #15689064C22semidirect
50. #15689063C22semidirect
51. #15689063C22semidirect
52. #15689063C22semidirect
53. #15689063C22semidirect
54. #15689062C22semidirect
55. #15689062C22semidirect
56. #15689061C22semidirect
57. #15689061C22semidirect
58. #15689057C22semidirect
59. #15689057C22semidirect
60. #15689057C22semidirect
61. #15689057C22semidirect
62. #15689056C22semidirect
63. #15689056C22semidirect
64. #15689055C22semidirect
65. #15689055C22semidirect
66. #15689054C22semidirect
67. #15689053C22semidirect
82. #15689043C22semidirect
83. #15689043C22semidirect
84. #15689042C22semidirect
85. #15689030C22semidirect
86. #15689028C22semidirect
87. #15689027C22semidirect
88. #15689021C22semidirect
89. #15689020C22semidirect
90. #15689020C22semidirect
91. #15689018C22semidirect
92. #15689018C22semidirect
93. #15689018C22semidirect
94. #15689018C22semidirect
106. #15689010C22semidirect
107. #15689009C22semidirect
108. #15689008C22semidirect
109. #15689007C22semidirect
110. #15689007C22semidirect
111. #15689007C22semidirect
112. #15689006C22semidirect
113. #15689006C22semidirect
114. #15689006C22semidirect
115. #15689005C22semidirect
116. #15689005C22semidirect
117. #15689004C22semidirect
118. #15689004C22semidirect
119. #15689004C22semidirect
120. #15689004C22semidirect
140. #15688988C22semidirect
141. #15688988C22semidirect
142. #15688987C22semidirect
174. C47×#400C22semidirect
175. C47×#398C22semidirect
176. C47×#398C22semidirect
179. C47×#395C22semidirect
180. C47×#391C22semidirect
181. C47×#389C22semidirect
183. C47×#387C22semidirect
185. C47×#382C22semidirect
710. #2698D47semidirect
766. #400C2×D47semidirect
777. #398C2×D47semidirect
778. #398C2×D47semidirect
798. #395C2×D47semidirect
802. #391C2×D47semidirect
810. #389C2×D47semidirect
838. #387C2×D47semidirect
862. #382C2×D47semidirect
893. C47#36732semidirect

Maximal subgroups

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

subgroupindex
#202516742
#202516722
#202505462
#202505432
#202505422
#202505392
#202504802
#202504762
#202504752
#202504712
#202499672
#202499582
#202499552
#202498452
#202498382
#202498342
#202498332
#202495012
#202493592
#202478962
#202478902
#202478882
#202476402
#202476352
#202476302
#202476272
#202461222
#202461202
#381×D472
C47×#26982
#3673247