Finite Group Databasebeta

← #26422074

Subgroups — #26422074

Order 12032.

2524 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251671C211yesmaximal, characteristic, complemented
2#20251669C211yesmaximal, characteristic, complemented
3#20251669C211yesmaximal, characteristic, complemented
4#20248610C211yesmaximal, characteristic, complemented
5#20248609C211yesmaximal, characteristic, complemented
6#20248608C211yesmaximal, characteristic, complemented
7#20248353C211yesmaximal, characteristic, complemented
8#20248352C211yesmaximal, characteristic, complemented
9#20248345C211yesmaximal, characteristic, complemented
10#20247955C211yesmaximal, characteristic, complemented
11#20247954C211yesmaximal, characteristic, complemented
12#20247943C211yesmaximal, characteristic, complemented
13#20247943C211yesmaximal, characteristic, complemented
14#20247941C211yesmaximal, characteristic, complemented
15#20247145C211yesmaximal, characteristic, complemented
16#20247141C211yesmaximal, characteristic, complemented
17#20247139C211yesmaximal, characteristic, complemented
18#20247138C211yesmaximal, characteristic, complemented
19#20247136C211yesmaximal, characteristic, complemented
20#20247133C211yesmaximal, characteristic, complemented
21#20246436C211yesmaximal, characteristic, complemented
22#20246434C211yesmaximal, characteristic, complemented
23#20246432C211yesmaximal, characteristic, complemented
24#20246323C211yesmaximal, characteristic, complemented
25#20246322C211yesmaximal, characteristic, complemented
26#20246321C211yesmaximal, characteristic, complemented
27#20245893C211yesmaximal, characteristic, complemented
28C4×#13093994C211yesmaximal, characteristic, complemented
29#20245889C211yesmaximal, characteristic, complemented
30C2×#95×D47C211yesmaximal, characteristic, complemented
31C47×#2510C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35C2×#13093999C2211yescharacteristic
36C2×#13093999C2211yescharacteristic
37C2×#13093998C2211yescharacteristic
38C2×#13093997C2211yescharacteristic
39C2×#13093997C2211yescharacteristic
40C2×#13093997C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093996C2211yescharacteristic
43C2×#13093996C2211yescharacteristic
44C2×#13093994C2211yescharacteristic
45C2×#13093994C2211yescharacteristic
46C2×#13093992C2211yescharacteristic
47C2×C4×D188C2211yescharacteristic
48C2×C4×D188C2211yescharacteristic
49C2×D4×Dic47C2211yescharacteristic
50C2×#13093986C2211yescharacteristic
51C2×#13093986C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic
53C2×(C22⋊D47)⋊C4C2211yescharacteristic
54C2×(C22⋊D47)⋊C4C2211yescharacteristic
55C2×(C22⋊D47)⋊C4C2211yescharacteristic
56C47⋊#401C2211yescharacteristic, complemented
57#15689065C2211yescharacteristic, complemented
58#15689064C2211yescharacteristic, complemented
59#15689063C2211yescharacteristic, complemented
60#15689063C2211yescharacteristic, complemented
61#15689061C2211yescharacteristic, complemented
62#15689057C2211yescharacteristic, complemented
63#15689056C2211yescharacteristic, complemented
64#15689054C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic, complemented
66#15689052C2211yescharacteristic, complemented
67#15689052C2211yescharacteristic, complemented
68#15689052C2211yescharacteristic, complemented
69#15689050C2211yescharacteristic, complemented
70#15689049C2211yescharacteristic, complemented
71#15689048C2211yescharacteristic, complemented
72#15689041C2211yescharacteristic, complemented
73#15689039C2211yescharacteristic, complemented
74#15689038C2211yescharacteristic, complemented
75#15689032C2211yescharacteristic, complemented
76#15689016C2211yescharacteristic, complemented
77#15689015C2211yescharacteristic, complemented
78#15689015C2211yescharacteristic, complemented
79#15689014C2211yescharacteristic, complemented
80#15689013C2211yescharacteristic, complemented
81#15689012C2211yescharacteristic, complemented
82#15689012C2211yescharacteristic, complemented
83#15689012C2211yescharacteristic, complemented
84#15689012C2211yescharacteristic, complemented
85#15689011C2211yescharacteristic, complemented
86#15689010C2211yescharacteristic, complemented
87#15689010C2211yescharacteristic, complemented
88#15689009C2211yescharacteristic, complemented
89#15689008C2211yescharacteristic, complemented
90#15689008C2211yescharacteristic, complemented
91#15689007C2211yescharacteristic, complemented
92#15689005C2211yescharacteristic, complemented
93#15689005C2211yescharacteristic, complemented
94#15689005C2211yescharacteristic, complemented
95#15689004C2211yescharacteristic, complemented
96#15689004C2211yescharacteristic, complemented
97#15689002C2211yescharacteristic
98#15689002C2211yescharacteristic
99#15689002C2211yescharacteristic
100#15689001C2211yescharacteristic
101#15689001C2211yescharacteristic
102#15689001C2211yescharacteristic
103#15689001C2211yescharacteristic
104#15689001C2211yescharacteristic
105#15689001C2211yescharacteristic
106#15689001C2211yescharacteristic
107#15689001C2211yescharacteristic
108#15689001C2211yescharacteristic
109#15689001C2211yescharacteristic
110#15689001C2211yescharacteristic
111#15689001C2211yescharacteristic
112#15689001C2211yescharacteristic, complemented
113#15689001C2211yescharacteristic, complemented
114#15689000C2211yescharacteristic
115#15689000C2211yescharacteristic
116#15689000C2211yescharacteristic
117#15689000C2211yescharacteristic, complemented
118#15689000C2211yescharacteristic, complemented
119#15688999C2211yescharacteristic
120#15688999C2211yescharacteristic
121#15688999C2211yescharacteristic
122#15688999C2211yescharacteristic
123#15688999C2211yescharacteristic
124#15688999C2211yescharacteristic
125#15688999C2211yescharacteristic, complemented
126#15688999C2211yescharacteristic, complemented
127#15688998C2211yescharacteristic
128#15688997C2211yescharacteristic
129#15688997C2211yescharacteristic
130#15688997C2211yescharacteristic
131#15688997C2211yescharacteristic
132#15688996C2211yescharacteristic
133#15688994C2211yescharacteristic
134#15688994C2211yescharacteristic
135#15688990C2211yescharacteristic, complemented
136#15688990C2211yescharacteristic, complemented
137#15688985C2211yescharacteristic, complemented
138#15688985C2211yescharacteristic, complemented
139#15688984C2211yescharacteristic, complemented
140#15688982C2211yescharacteristic
141#15688982C2211yescharacteristic
142#15688982C2211yescharacteristic
143#15688982C2211yescharacteristic
144#15688981C2211yescharacteristic
145#15688981C2211yescharacteristic
146#15688980C2211yescharacteristic
147#15688980C2211yescharacteristic
148#15688978C2211yescharacteristic
149C22⋊C4×Dic47C2211yescharacteristic
150C22⋊C4×Dic47C2211yescharacteristic
151C22⋊C4×Dic47C2211yescharacteristic, complemented
152C4×(C2×D47)⋊C4C2211yescharacteristic
153C4×(C2×D47)⋊C4C2211yescharacteristic
154C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
155#15688970C2211yescharacteristic
156#15688970C2211yescharacteristic
157#15688970C2211yescharacteristic
158#15688970C2211yescharacteristic
159#15688970C2211yescharacteristic, complemented
160#15688969C2211yescharacteristic, complemented
161C2×C47⋊#95C2211yescharacteristic
162C2×C47⋊#95C2211yescharacteristic
163C2×C47⋊#95C2211yescharacteristic
164#95×D47C2211yescharacteristic
165#95×D47C2211yescharacteristic
166#95×D47C2211yescharacteristic
167#95×D47C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C47×#401C2211yescharacteristic, complemented
173C47×#400C2211yescharacteristic, complemented
174C47×#397C2211yescharacteristic, complemented
175C47×#397C2211yescharacteristic, complemented
176C47×#388C2211yescharacteristic, complemented
177C47×#388C2211yescharacteristic, complemented
178C47×#387C2211yescharacteristic, complemented
179C47×#386C2211yescharacteristic
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#385C2211yescharacteristic
183C47×#383C2211yescharacteristic, complemented
184C47×#380C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×D188C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C22×C4×D47—24no—
204C22×C4×D47—24no—
205C22×C4×D47—24no—
206C22×C4×D47—42no—
207C22×C4×D47—42no—
208C22×C4×D47—42no—
209C22×C4×D47—42no—
210C22×C4×D47—42no—
211C22×C4×D47—42no—
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226#13093999—24no—
227#13093999—42no—
228#13093998—42no—
229#13093997—24no—
230#13093997—42no—
231#13093997—42no—
232#13093997—42no—
233#13093996—24no—
234#13093996—42no—
235#13093994—24no—
236#13093994—24no—
237#13093992—24no—
238C4×D188—24no—
239C4×D188—42no—
240D4×Dic47—42no—
241#13093986—42no—
242#13093986—42no—
243C4×C22⋊D47—42no—
244(C22⋊D47)⋊C4—24no—
245(C22⋊D47)⋊C4—24no—
246(C22⋊D47)⋊C4—42no—
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
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×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
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
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C22×D4×C47C2311yescharacteristic
338C23×C4×C47C2311yescharacteristic
339C23×C4×C47C2311yescharacteristic
340C23×C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
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×C42×C47C2311yescharacteristic
355C2×C42×C47C2311yescharacteristic
356#95×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
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372C24×C47C2411yescharacteristic
373C24×C47C2411yescharacteristic
374C23×D47—22no—
375C23×D47—22no—
376C23×D47—22no—
377C23×D47—22no—
378C23×D47—22no—
379C23×D47—22no—
380C23×D47#4114yes—
381C23×D47C2411yescharacteristic
382C23×D47C2411yescharacteristic
383C23×D47C2411yescharacteristic
384C23×D47C2411yescharacteristic
385C2×D4×C47—22no—
386C2×D4×C47—22no—
387C2×D4×C47—22no—
388C22×C4×C47—22no—
389C22×C4×C47—22no—
390C22×C4×C47—22no—
391C22×C4×C47—22no—
392C22×C4×C47—22no—
393C22×C4×C47—41no—
394C22×C4×C47—41no—
395C22×C4×C47—41no—
396C22×C4×C47—41no—
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
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—22no—
422C2×C22⋊D47—22no—
423C2×C22⋊D47—22no—
424C2×C22⋊D47—41no—
425C2×C22⋊D47—41no—
426C2×C22⋊D47—41no—
427C2×C22⋊D47—41no—
428C22×Dic47—22no—
429C22×Dic47—22no—
430C22×Dic47—22no—
431C22×Dic47—22no—
432C22×Dic47—22no—
433C22×Dic47—41no—
434C22×Dic47—41no—
435C22×Dic47—41no—
436C22×Dic47—41no—
437C22×Dic47—41no—
438C22×Dic47—41no—
439C22×Dic47#4114yes—
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C2×D188—22no—
453C2×D188—22no—
454C2×D188—22no—
455C2×D188—22no—
456C2×D188—22no—
457C2×D188—22no—
458C2×D188—22no—
459C2×D188—22no—
460C2×D188—22no—
461C2×D188—22no—
462C2×D188—22no—
463C2×D188—22no—
464C2×D188—22no—
465C2×D188—41no—
466C2×D188—41no—
467C2×C4×D47—22no—
468C2×C4×D47—22no—
469C2×C4×D47—22no—
470C2×C4×D47—22no—
471C2×C4×D47—22no—
472C2×C4×D47—22no—
473C2×C4×D47—22no—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—22no—
487C2×C4×D47—41no—
488C2×C4×D47—41no—
489C2×C4×D47—41no—
490C2×C4×D47—41no—
491C2×C4×D47—41no—
492C2×C4×D47—41no—
493C2×C4×D47—41no—
494C2×C4×D47—41no—
495C2×C4×D47—41no—
496C2×C4×D47—41no—
497C2×C4×D47—41no—
498C2×C4×D47—41no—
499C2×C4×D47—41no—
500C2×C4×D47—41no—
501C2×C4×D47—41no—
502C2×C4×D47—41no—
503C2×C4×D47—416no—
504C2×C4×D47—416no—
505C2×C4×D47—416no—
506C2×C4×D47—41no—
507C2×C4×D47—41no—
508C2×C4×D47—41no—
509C2×C4×D47—41no—
510C2×C4×D47#4114yes—
511C2×C4×D47#4114yes—
512C4⋊C4×C47—22no—
513C4⋊C4×C47—41no—
514C4⋊C4×C47—41no—
515C4⋊C4×C47—41no—
516C22⋊C4×C47—22no—
517C22⋊C4×C47—22no—
518C22⋊C4×C47—22no—
519C22⋊C4×C47—22no—
520C22⋊C4×C47—22no—
521C22⋊C4×C47—41no—
522C22⋊C4×C47—41no—
523C22⋊C4×C47—41no—
524C22⋊C4×C47—41no—
525C42×C47—22no—
526C42×C47—41no—
527C22⋊Dic47—22no—
528C22⋊Dic47—22no—
529C22⋊Dic47—22no—
530C22⋊Dic47—41no—
531C22⋊Dic47—41no—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
534(C2×D47)⋊C4—22no—
535(C2×D47)⋊C4—22no—
536(C2×D47)⋊C4—22no—
537(C2×D47)⋊C4—22no—
538(C2×D47)⋊C4—22no—
539(C2×D47)⋊C4—22no—
540(C2×D47)⋊C4—22no—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—22no—
543(C2×D47)⋊C4—22no—
544(C2×D47)⋊C4—22no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—22no—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4—41no—
550(C2×D47)⋊C4—41no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4—41no—
553(C2×D47)⋊C4—41no—
554(C2×D47)⋊C4—41no—
555(C2×D47)⋊C4—41no—
556(C2×D47)⋊C4—41no—
557(C2×D47)⋊C4—41no—
558(C2×D47)⋊C4—41no—
559(C2×D47)⋊C4—41no—
560C4⋊Dic47—22no—
561C4⋊Dic47—41no—
562C4⋊Dic47—41no—
563C4⋊Dic47—41no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—22no—
567Dic47⋊C4—22no—
568Dic47⋊C4—41no—
569Dic47⋊C4—41no—
570Dic47⋊C4—41no—
571Dic47⋊C4—41no—
572Dic47⋊C4—41no—
573Dic47⋊C4—41no—
574C4×Dic47—22no—
575C4×Dic47—22no—
576C4×Dic47—41no—
577C4×Dic47—41no—
578C4×Dic47—41no—
579C4×Dic47—41no—
580C4×Dic47—41no—
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—21no—
592C23×C47C2×#4112yes—
593C23×C47C2×#4112yes—
594C23×C47H(5,𝔽2)12yes—
595C23×C47C2511yescharacteristic
596C22×D47—28no—
597C22×D47—28no—
598C22×D47—28no—
599C22×D47—28no—
600C22×D47—28no—
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—28no—
610C22×D47—28no—
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—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47C2×#4112yes—
626C22×D47C2×#4112yes—
627C22×D47C2×#4112yes—
628C22×D47C2×#4112yes—
629C22×D47H(5,𝔽2)12yes—
630C22×D47H(5,𝔽2)12yes—
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—21no—
669C2×C4×C47—44no—
670C2×C4×C47—44no—
671C2×C4×C47—44no—
672C2×C4×C47C2×#4112yes—
673C2×C4×C47C2×#4112yes—
674C22⋊D47—44no—
675C22⋊D47—44no—
676C22⋊D47—44no—
677C22⋊D47—44no—
678C22⋊D47—82no—
679C22⋊D47—82no—
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—44no—
715C2×Dic47—82no—
716C2×Dic47C2×#4112yes—
717C2×Dic47C2×#4112yes—
718C2×Dic47C2×#4112yes—
719C2×Dic47C2×#4112yes—
720D188—44no—
721D188—44no—
722D188—44no—
723D188—44no—
724D188—82no—
725C4×D47—44no—
726C4×D47—44no—
727C4×D47—44no—
728C4×D47—44no—
729C4×D47—44no—
730C4×D47—44no—
731C4×D47—44no—
732C4×D47—44no—
733C4×D47—44no—
734C4×D47—44no—
735C4×D47—44no—
736C4×D47—44no—
737C4×D47—82no—
738C4×D47—82no—
739#36607—471nomaximal, Sylow
740C22×C47—22no—
741C22×C47—22no—
742C22×C47—22no—
743C22×C47—22no—
744C22×C47—22no—
745C22×C47—22no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47—41no—
751C22×C47—41no—
752C22×C47—41no—
753C22×C47#55314yes—
754C22×C47C22×#4111yescharacteristic
755C22×C47C22×#4111yescharacteristic
756C22×C47C22×#4111yescharacteristic
757C22×C47C22×#4111yescharacteristic
758C22×C47C2×H(5,𝔽2)11yescharacteristic
759C22×C47C2×H(5,𝔽2)11yescharacteristic
760C22×C47C2×H(5,𝔽2)11yescharacteristic
761C2×D47—232no—
762C2×D47—22no—
763C2×D47—22no—
764C2×D47—22no—
765C2×D47—22no—
766C2×D47—22no—
767C2×D47—22no—
768C2×D47—22no—
769C2×D47—22no—
770C2×D47—22no—
771C2×D47—22no—
772C2×D47—22no—
773C2×D47—22no—
774C2×D47—41no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47—41no—
780C2×D47—41no—
781C2×D47—41no—
782C2×D47—41no—
783C2×D47—41no—
784C2×D47—41no—
785C2×D47—41no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47#55314yes—
789C2×D47#55314yes—
790C4×C47—22no—
791C4×C47—22no—
792C4×C47—41no—
793C4×C47—41no—
794C4×C47—41no—
795C4×C47—41no—
796C4×C47—41no—
797C4×C47—41no—
798C4×C47—41no—
799C4×C47—41no—
800C4×C47—41no—
801C4×C47—41no—
802C4×C47—41no—
803Dic47—22no—
804Dic47—22no—
805Dic47—22no—
806Dic47—22no—
807Dic47—41no—
808Dic47—41no—
809Dic47—41no—
810Dic47—41no—
811Dic47—41no—
812Dic47—41no—
813Dic47—41no—
814Dic47—41no—
815#2847—471no—
816#2847—471no—
817#2847—471no—
818#2569—471no—
819#2569—471no—
820#2569—471no—
821#2543—471no—
822#2543—471no—
823#2543—471no—
824#2510—471no—
825#2510—471no—
826#2510—471no—
827#2510—471no—
828#2510—471no—
829#2510D4711yescharacteristic, complemented
830#2444—471no—
831#2444—471no—
832#2444—471no—
833#2444—471no—
834#2444—471no—
835#2444—471no—
836#2364—471no—
837#2364—471no—
838#2364—471no—
839#2353—471no—
840#2353—471no—
841#2353—471no—
842C4×#120—471no—
843C4×#120—471no—
844C4×#120—471no—
845C22×#95—471no—
846C2×C47—24no—
847C2×C47—81no—
848C2×C47#344411yescharacteristic
849C2×C47C2×#55311yescharacteristic
850C2×C47C2×#55311yescharacteristic
851C2×C47C2×#55311yescharacteristic
852C2×C47#349011yescharacteristic
853C2×C47#349011yescharacteristic
854C2×C47#349011yescharacteristic
855D47—24no—
856D47—24no—
857D47—81no—
858D47—81no—
859C24×C4—471no—
860C24×C4—471no—
861C24×C4—471no—
862C2×#121—471no—
863C2×#121—471no—
864C2×#121—471no—
865C2×#121—471no—
866C2×#121—471no—
867C2×#121—471no—
868C2×#121—471no—
869C2×#121—471no—
870C2×#121—471no—
871C2×#120—471no—
872C2×#120—471no—
873C2×#120—471no—
874C2×C4×D4—471no—
875C2×C4×D4—471no—
876C2×C4×D4—471no—
877C2×C4×D4—471no—
878C2×C4×D4—471no—
879C2×C4×D4—471no—
880C2×C4×D4—471no—
881C2×C4×D4—471no—
882C2×C4×D4—471no—
883#401—471no—
884#401C2×D4711yescharacteristic, complemented
885#400—471no—
886#400—471no—
887#400—471no—
888#400—471no—
889#400—471no—
890#400C2×D4711yescharacteristic, complemented
891#398—471no—
892#398—471no—
893#398—471no—
894#397—471no—
895#397—471no—
896#397—471no—
897#397—471no—
898#397—471no—
899#397—471no—
900#397—471no—
901#397C2×D4711yescharacteristic, complemented
902#397C2×D4711yescharacteristic, complemented
903#394—471no—
904#394—471no—
905#394—471no—
906#392—471no—
907#388—471no—
908#388—471no—
909#388—471no—
910#388—471no—
911#388—471no—
912#388—471no—
913#388—471no—
914#388—471no—
915#388—471no—
916#388—471no—
917#388C2×D4711yescharacteristic, complemented
918#388C2×D4711yescharacteristic, complemented
919#387—471no—
920#387—471no—
921#387—471no—
922#387—471no—
923#387—471no—
924#387—471no—
925#387—471no—
926#387—471no—
927#387—471no—
928#387—471no—
929#387—471no—
930#387C2×D4711yescharacteristic, complemented
931#386—471no—
932#386—471no—
933#386—471no—
934#386—471no—
935#386—471no—
936#386—471no—
937#386—471no—
938#386—471no—
939#386—471no—
940#386—471no—
941#386—471no—
942#386—471no—
943#386—471no—
944#386—471no—
945#386—471no—
946#386—471no—
947#386—471no—
948#386—471no—
949#386—471no—
950#386—471no—
951#386—471no—
952#386—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#386C2×D4711yescharacteristic
962#386C2×D4711yescharacteristic
963#386C2×D4711yescharacteristic
964#385—471no—
965#385—471no—
966#385—471no—
967#385—471no—
968#385—471no—
969#385—471no—
970#385—471no—
971#385—471no—
972#385C2×D4711yescharacteristic
973#383—471no—
974#383—471no—
975#383C2×D4711yescharacteristic, complemented
976#381—471no—
977#381—471no—
978#381—471no—
979#380—471no—
980#380—471no—
981#380—471no—
982#380—471no—
983#380—471no—
984#380—471no—
985#380—471no—
986#380—471no—
987#380C2×D4711yescharacteristic
988#379—471no—
989C4×C22⋊C4—471no—
990C4×C22⋊C4—471no—
991C4×C22⋊C4—471no—
992C4×C22⋊C4—471no—
993C4×C22⋊C4—471no—
994C4×C22⋊C4—471no—
995C4×C22⋊C4—471no—
996C4×C22⋊C4—471no—
997C4×C22⋊C4—471no—
998C4×C22⋊C4—471no—
999C4×C22⋊C4—471no—
1000C4×C22⋊C4C2×D4711yescharacteristic
1001#376—471no—
1002C2×#95—471no—
1003C2×#95—471no—
1004C2×#95—471no—
1005C2×#95—471no—
1006C2×#95—471no—
1007C2×#95—471no—
1008C2×#95—471no—
1009C2×#95—471no—
1010C2×#95—471no—
1011C2×#95—471no—
1012C2×#95—471no—
1013C2×#95C2×D4711yescharacteristic
1014C47#3660711yescharacteristic, complemented, Sylow
1015C25—471no—
1016C22×D4—471no—
1017C22×D4—471no—
1018C22×D4—471no—
1019C22×D4—471no—
1020C22×D4—471no—
1021C22×D4—471no—
1022C22×D4—471no—
1023C22×D4—471no—
1024C22×D4—471no—
1025C22×D4—471no—
1026C22×D4—471no—
1027C22×D4C22×D4711yescharacteristic
1028C23×C4—471no—
1029C23×C4—471no—
1030C23×C4—471no—
1031C23×C4—471no—
1032C23×C4—471no—
1033C23×C4—471no—
1034C23×C4—471no—
1035C23×C4—471no—
1036C23×C4—471no—
1037C23×C4—471no—
1038C23×C4—471no—
1039C23×C4—471no—
1040C23×C4—471no—
1041C23×C4—471no—
1042C23×C4—471no—
1043C23×C4—471no—
1044C23×C4—471no—
1045C23×C4—471no—
1046C23×C4—944no—
1047C23×C4—944no—
1048C23×C4—944no—
1049C23×C4—1882no—
1050C23×C4—1882no—
1051C23×C4—1882no—
1052C23×C4—1882no—
1053C23×C4—1882no—
1054C23×C4—1882no—
1055C23×C4C22×D4711yescharacteristic
1056C23×C4C22×D4711yescharacteristic
1057C23×C4C22×D4711yescharacteristic
1058#121—944no—
1059#121—944no—
1060#121—944no—
1061#121—1882no—
1062#121—1882no—
1063#121—1882no—
1064#121—1882no—
1065#121—1882no—
1066#121—1882no—
1067#120—944no—
1068#120—944no—
1069#120—944no—
1070C4×D4—944no—
1071C4×D4—944no—
1072C4×D4—944no—
1073C4×D4—1882no—
1074C4×D4—1882no—
1075C4×D4—1882no—
1076C4×D4—1882no—
1077C4×D4—1882no—
1078C4×D4—1882no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4—471no—
1081C2×C4⋊C4—471no—
1082C2×C4⋊C4—471no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4C22×D4711yescharacteristic
1094C2×C4⋊C4C22×D4711yescharacteristic
1095C2×C4⋊C4C22×D4711yescharacteristic
1096C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1129C2×C22⋊C4—471no—
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—
1146C2×C42C22×D4711yescharacteristic
1147C2×C42C22×D4711yescharacteristic
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#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95C22×D4711yescharacteristic
1185#95C22×D4711yescharacteristic
1186#95C22×D4711yescharacteristic
1187#95C22×D4711yescharacteristic
1188#95C22×D4711yescharacteristic
1189#95C22×D4711yescharacteristic
1190#95C22×D4711yescharacteristic
1191#95C22×D4711yescharacteristic
1192#95C22×D4711yescharacteristic
1193#95C22×D4711yescharacteristic
1194#95C22×D4711yescharacteristic
1195#95C22×D4711yescharacteristic
1196#95C22×D4711yescharacteristic
1197#95C22×D4711yescharacteristic
1198#95C22×D4711yescharacteristic
1199#95C22×D4711yescharacteristic
1200C24—471no—
1201C24—471no—
1202C24—474no—
1203C24—471no—
1204C24—471no—
1205C24—942no—
1206C24—942no—
1207C24—942no—
1208C24—942no—
1209C24—942no—
1210C24—942no—
1211C24C23×D4711yescharacteristic
1212C24C23×D4711yescharacteristic
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
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—942no—
1229C2×D4—942no—
1230C2×D4—942no—
1231C2×D4—942no—
1232C2×D4—942no—
1233C2×D4—942no—
1234C2×D4—942no—
1235C2×D4—942no—
1236C2×D4—942no—
1237C2×D4—942no—
1238C2×D4—942no—
1239C2×D4—942no—
1240C2×D4—942no—
1241C2×D4—942no—
1242C2×D4—942no—
1243C2×D4—1881no—
1244C2×D4—1881no—
1245C2×D4—1881no—
1246C2×D4—1881no—
1247C2×D4—1881no—
1248C2×D4—1881no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—471no—
1262C22×C4—474no—
1263C22×C4—474no—
1264C22×C4—474no—
1265C22×C4—471no—
1266C22×C4—471no—
1267C22×C4—471no—
1268C22×C4—471no—
1269C22×C4—471no—
1270C22×C4—471no—
1271C22×C4—471no—
1272C22×C4—471no—
1273C22×C4—942no—
1274C22×C4—942no—
1275C22×C4—942no—
1276C22×C4—942no—
1277C22×C4—942no—
1278C22×C4—942no—
1279C22×C4—942no—
1280C22×C4—942no—
1281C22×C4—942no—
1282C22×C4—942no—
1283C22×C4—942no—
1284C22×C4—942no—
1285C22×C4—942no—
1286C22×C4—942no—
1287C22×C4—942no—
1288C22×C4—942no—
1289C22×C4—942no—
1290C22×C4—942no—
1291C22×C4—942no—
1292C22×C4—942no—
1293C22×C4—942no—
1294C22×C4—942no—
1295C22×C4—942no—
1296C22×C4—942no—
1297C22×C4—942no—
1298C22×C4—1881no—
1299C22×C4—1881no—
1300C22×C4—1881no—
1301C22×C4—1881no—
1302C22×C4—1881no—
1303C22×C4—1881no—
1304C22×C4—1881no—
1305C22×C4—1881no—
1306C22×C4—1881no—
1307C22×C4—1881no—
1308C22×C4—1881no—
1309C22×C4—1881no—
1310C22×C4—1881no—
1311C22×C4—1881no—
1312C22×C4—1881no—
1313C22×C4—1881no—
1314C22×C4—1881no—
1315C22×C4—1881no—
1316C22×C4—1881no—
1317C22×C4—1881no—
1318C22×C4—18816no—
1319C22×C4—18816no—
1320C22×C4—18816no—
1321C22×C4—1881no—
1322C22×C4—1881no—
1323C22×C4—1881no—
1324C22×C4—1881no—
1325C22×C4—1881no—
1326C22×C4—1881no—
1327C22×C4C23×D4711yescharacteristic
1328C22×C4C23×D4711yescharacteristic
1329C22×C4C23×D4711yescharacteristic
1330C22×C4C23×D4711yescharacteristic
1331C22×C4C23×D4711yescharacteristic
1332C22×C4C23×D4711yescharacteristic
1333C22×C4C23×D4711yescharacteristic
1334C22×C4C23×D4711yescharacteristic
1335C22×C4C23×D4711yescharacteristic
1336C22×C4C23×D4711yescharacteristic
1337C22×C4C23×D4711yescharacteristic
1338C22×C4C23×D4711yescharacteristic
1339C22×C4C23×D4711yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—942no—
1345C4⋊C4—942no—
1346C4⋊C4—942no—
1347C4⋊C4—942no—
1348C4⋊C4—942no—
1349C4⋊C4—1881no—
1350C4⋊C4—1881no—
1351C4⋊C4—1881no—
1352C4⋊C4—1881no—
1353C4⋊C4—1881no—
1354C4⋊C4—1881no—
1355C4⋊C4—1881no—
1356C4⋊C4—1881no—
1357C4⋊C4—1881no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—942no—
1368C22⋊C4—942no—
1369C22⋊C4—942no—
1370C22⋊C4—942no—
1371C22⋊C4—942no—
1372C22⋊C4—942no—
1373C22⋊C4—942no—
1374C22⋊C4—942no—
1375C22⋊C4—942no—
1376C22⋊C4—942no—
1377C22⋊C4—942no—
1378C22⋊C4—942no—
1379C22⋊C4—942no—
1380C22⋊C4—942no—
1381C22⋊C4—942no—
1382C22⋊C4—942no—
1383C22⋊C4—942no—
1384C22⋊C4—942no—
1385C22⋊C4—942no—
1386C22⋊C4—1881no—
1387C22⋊C4—1881no—
1388C22⋊C4—1881no—
1389C22⋊C4—1881no—
1390C22⋊C4—1881no—
1391C22⋊C4—1881no—
1392C22⋊C4—1881no—
1393C22⋊C4—1881no—
1394C22⋊C4—1881no—
1395C22⋊C4—1881no—
1396C22⋊C4—1881no—
1397C22⋊C4—1881no—
1398C22⋊C4—1881no—
1399C22⋊C4—1881no—
1400C42—22no—
1401C42—41no—
1402C42—942no—
1403C42—942no—
1404C42—1881no—
1405C42—1881no—
1406C42—1881no—
1407C42—1881no—
1408C42—1881no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—472no—
1421C23—472no—
1422C23—472no—
1423C23—472no—
1424C23—472no—
1425C23—472no—
1426C23—948no—
1427C23—948no—
1428C23—948no—
1429C23—948no—
1430C23—948no—
1431C23—948no—
1432C23—948no—
1433C23—941no—
1434C23—941no—
1435C23—941no—
1436C23—941no—
1437C23—941no—
1438C23—941no—
1439C23—941no—
1440C23—941no—
1441C23—941no—
1442C23—941no—
1443C23—941no—
1444C23—941no—
1445C23—941no—
1446C23—941no—
1447C23—941no—
1448C23—941no—
1449C23—941no—
1450C23—941no—
1451C23—941no—
1452C23—941no—
1453C23—941no—
1454C23—941no—
1455C23#41×D4712yes—
1456C23#41×D4712yes—
1457C23#1309407012yes—
1458C23C24×D4711yescharacteristic
1459D4—44no—
1460D4—3762no—
1461D4—3762no—
1462D4—3762no—
1463D4—1884no—
1464D4—1884no—
1465D4—1884no—
1466D4—1884no—
1467D4—1884no—
1468D4—1884no—
1469D4—1884no—
1470D4—1884no—
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—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—472no—
1512C2×C4—472no—
1513C2×C4—472no—
1514C2×C4—472no—
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—941no—
1537C2×C4—941no—
1538C2×C4—941no—
1539C2×C4—941no—
1540C2×C4—941no—
1541C2×C4—941no—
1542C2×C4—941no—
1543C2×C4—941no—
1544C2×C4—941no—
1545C2×C4—941no—
1546C2×C4—941no—
1547C2×C4—3762no—
1548C2×C4—3762no—
1549C2×C4—3762no—
1550C2×C4—1884no—
1551C2×C4—1884no—
1552C2×C4—1884no—
1553C2×C4—1884no—
1554C2×C4—1884no—
1555C2×C4—1884no—
1556C2×C4—1884no—
1557C2×C4—1884no—
1558C2×C4—1884no—
1559C2×C4—1884no—
1560C2×C4—1884no—
1561C2×C4—1884no—
1562C2×C4—1884no—
1563C2×C4—1884no—
1564C2×C4—1884no—
1565C2×C4#41×D4712yes—
1566C2×C4#41×D4712yes—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—474no—
1581C22—474no—
1582C22—9432no—
1583C22—942no—
1584C22—942no—
1585C22—942no—
1586C22—942no—
1587C22—942no—
1588C22—942no—
1589C22—942no—
1590C22—942no—
1591C22—942no—
1592C22—942no—
1593C22—942no—
1594C22—942no—
1595C22—1881no—
1596C22—1881no—
1597C22—1881no—
1598C22—1881no—
1599C22—1881no—
1600C22—1881no—
1601C22—1881no—
1602C22—1881no—
1603C22—1881no—
1604C22—1881no—
1605C22—1881no—
1606C22—1881no—
1607C22—1881no—
1608C22—1881no—
1609C22#1568982414yes—
1610C22C2×#41×D4711yescharacteristic
1611C22C2×#41×D4711yescharacteristic
1612C22C2×#41×D4711yescharacteristic
1613C22C2×#41×D4711yescharacteristic
1614C22H(5,𝔽2)×D4711yescharacteristic
1615C22H(5,𝔽2)×D4711yescharacteristic
1616C22C2×#1309407011yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—942no—
1631C4—942no—
1632C4—942no—
1633C4—942no—
1634C4—1881no—
1635C4—1881no—
1636C4—1881no—
1637C4—1881no—
1638C4—1881no—
1639C4—1881no—
1640C4—1881no—
1641C4—1881no—
1642C2—24no—
1643C2—81no—
1644C2—944no—
1645C2—944no—
1646C2—3761no—
1647C2—3761no—
1648C2#2025668211yescharacteristic
1649C2#553×D4711yescharacteristic
1650C2#553×D4711yescharacteristic
1651C2C2×#1568982411yescharacteristic
1652C2#2025707211yescharacteristic
1653C2#2025707211yescharacteristic
1654C2#2025707411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2510C2
hypercenter#2510D47
hypocenterC47#36607
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2510

Complements

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

NH ≅ G/Ntype
1. #20251671C2semidirect
2. #20251669C2semidirect
3. #20251669C2semidirect
4. #20248610C2semidirect
5. #20248609C2semidirect
6. #20248608C2semidirect
7. #20248353C2semidirect
8. #20248352C2semidirect
9. #20248345C2semidirect
10. #20247955C2semidirect
11. #20247954C2semidirect
12. #20247943C2semidirect
13. #20247943C2semidirect
14. #20247941C2semidirect
15. #20247145C2semidirect
16. #20247141C2semidirect
17. #20247139C2semidirect
18. #20247138C2semidirect
19. #20247136C2semidirect
20. #20247133C2semidirect
21. #20246436C2semidirect
22. #20246434C2semidirect
23. #20246432C2semidirect
24. #20246323C2semidirect
25. #20246322C2semidirect
26. #20246321C2semidirect
27. #20245893C2semidirect
28. C4×#13093994C2semidirect
29. #20245889C2semidirect
30. C2×#95×D47C2semidirect
31. C47×#2510C2semidirect
56. C47⋊#401C22semidirect
57. #15689065C22semidirect
58. #15689064C22semidirect
59. #15689063C22semidirect
60. #15689063C22semidirect
61. #15689061C22semidirect
62. #15689057C22semidirect
63. #15689056C22semidirect
64. #15689054C22semidirect
65. #15689052C22semidirect
66. #15689052C22semidirect
67. #15689052C22semidirect
68. #15689052C22semidirect
69. #15689050C22semidirect
70. #15689049C22semidirect
71. #15689048C22semidirect
72. #15689041C22semidirect
73. #15689039C22semidirect
74. #15689038C22semidirect
75. #15689032C22semidirect
76. #15689016C22semidirect
77. #15689015C22semidirect
78. #15689015C22semidirect
79. #15689014C22semidirect
80. #15689013C22semidirect
81. #15689012C22semidirect
82. #15689012C22semidirect
83. #15689012C22semidirect
84. #15689012C22semidirect
85. #15689011C22semidirect
86. #15689010C22semidirect
87. #15689010C22semidirect
88. #15689009C22semidirect
89. #15689008C22semidirect
90. #15689008C22semidirect
91. #15689007C22semidirect
92. #15689005C22semidirect
93. #15689005C22semidirect
94. #15689005C22semidirect
95. #15689004C22semidirect
96. #15689004C22semidirect
112. #15689001C22semidirect
113. #15689001C22semidirect
117. #15689000C22semidirect
118. #15689000C22semidirect
125. #15688999C22semidirect
126. #15688999C22semidirect
135. #15688990C22semidirect
136. #15688990C22semidirect
137. #15688985C22semidirect
138. #15688985C22semidirect
139. #15688984C22semidirect
151. C22⋊C4×Dic47C22semidirect
154. C4×(C2×D47)⋊C4C22semidirect
159. #15688970C22semidirect
160. #15688969C22semidirect
172. C47×#401C22semidirect
173. C47×#400C22semidirect
174. C47×#397C22semidirect
175. C47×#397C22semidirect
176. C47×#388C22semidirect
177. C47×#388C22semidirect
178. C47×#387C22semidirect
183. C47×#383C22semidirect
829. #2510D47semidirect
884. #401C2×D47semidirect
890. #400C2×D47semidirect
901. #397C2×D47semidirect
902. #397C2×D47semidirect
917. #388C2×D47semidirect
918. #388C2×D47semidirect
930. #387C2×D47semidirect
975. #383C2×D47semidirect
1014. C47#36607semidirect

Maximal subgroups

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

subgroupindex
#202516712
#202516692
#202486102
#202486092
#202486082
#202483532
#202483522
#202483452
#202479552
#202479542
#202479432
#202479412
#202471452
#202471412
#202471392
#202471382
#202471362
#202471332
#202464362
#202464342
#202464322
#202463232
#202463222
#202463212
#202458932
C4×#130939942
#202458892
C2×#95×D472
C47×#25102
#3660747