Finite Group Databasebeta

← #26425613

Subgroups — #26425613

Order 12032.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251703C211yesmaximal, characteristic, complemented
2#20251248C211yesmaximal, characteristic, complemented
3#20250778C211yesmaximal, characteristic, complemented
4#20250714C211yesmaximal, characteristic, complemented
5#20250661C211yesmaximal, characteristic, complemented
6#20250653C211yesmaximal, characteristic, complemented
7#20250642C211yesmaximal, characteristic, complemented
8#20250606C211yesmaximal, characteristic, complemented
9#20250383C211yesmaximal, characteristic, complemented
10#20250188C211yesmaximal, characteristic, complemented
11#20250181C211yesmaximal, characteristic, complemented
12#20250029C211yesmaximal, characteristic, complemented
13#20249782C211yesmaximal, characteristic, complemented
14#20249777C211yesmaximal, characteristic, complemented
15#20249708C211yesmaximal, characteristic, complemented
16#20249684C211yesmaximal, characteristic, complemented
17#20249609C211yesmaximal, characteristic, complemented
18#20249165C211yesmaximal, characteristic, complemented
19#20249128C211yesmaximal, characteristic, complemented
20#20247648C211yesmaximal, characteristic, complemented
21#20247521C211yesmaximal, characteristic, complemented
22#20247121C211yesmaximal, characteristic, complemented
23#20247051C211yesmaximal, characteristic, complemented
24#20246930C211yesmaximal, characteristic, complemented
25#20246765C211yesmaximal, characteristic, complemented
26#20246759C211yesmaximal, characteristic, complemented
27#20246700C211yesmaximal, characteristic, complemented
28#20246051C211yesmaximal, characteristic, complemented
29#20245962C211yesmaximal, characteristic, complemented
30C2×#15689025C211yesmaximal, characteristic, complemented
31C47×#2850C211yesmaximal, characteristic, complemented
32C23×D188C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C2×#13094018C2211yescharacteristic, complemented
35C2×#13094017C2211yescharacteristic, complemented
36C2×#13094013C2211yescharacteristic, complemented
37C2×#13094008C2211yescharacteristic, complemented
38C2×#13094000C2211yescharacteristic, complemented
39C2×#13093997C2211yescharacteristic, complemented
40C2×#13093997C2211yescharacteristic, complemented
41C2×#13093996C2211yescharacteristic
42C2×#13093996C2211yescharacteristic, complemented
43C2×#13093994C2211yescharacteristic
44C2×#13093994C2211yescharacteristic
45C2×#13093994C2211yescharacteristic
46C2×#13093992C2211yescharacteristic
47C2×#13093992C2211yescharacteristic
48C2×#13093992C2211yescharacteristic, complemented
49C2×#13093992C2211yescharacteristic, complemented
50C2×D4×Dic47C2211yescharacteristic, complemented
51C22×C4⋊Dic47C2211yescharacteristic, complemented
52C22×(C2×D47)⋊C4C2211yescharacteristic
53C22×(C2×D47)⋊C4C2211yescharacteristic
54C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
55C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
56C2×C22⋊C4×D47C2211yescharacteristic
57#15689065C2211yescharacteristic, complemented
58#15689063C2211yescharacteristic, complemented
59#15689060C2211yescharacteristic, complemented
60#15689058C2211yescharacteristic, complemented
61#15689055C2211yescharacteristic, complemented
62#15689052C2211yescharacteristic, complemented
63#15689052C2211yescharacteristic, complemented
64#15689052C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic, complemented
66#15689050C2211yescharacteristic, complemented
67#15689050C2211yescharacteristic, complemented
68#15689049C2211yescharacteristic, complemented
69#15689048C2211yescharacteristic, complemented
70#15689048C2211yescharacteristic, complemented
71#15689046C2211yescharacteristic, complemented
72#15689045C2211yescharacteristic, complemented
73#15689045C2211yescharacteristic, complemented
74#15689045C2211yescharacteristic, complemented
75#15689041C2211yescharacteristic
76#15689041C2211yescharacteristic
77#15689041C2211yescharacteristic, complemented
78#15689041C2211yescharacteristic, complemented
79#15689040C2211yescharacteristic, complemented
80#15689040C2211yescharacteristic, complemented
81#15689040C2211yescharacteristic, complemented
82#15689039C2211yescharacteristic, complemented
83#15689039C2211yescharacteristic, complemented
84#15689039C2211yescharacteristic, complemented
85#15689039C2211yescharacteristic, complemented
86#15689038C2211yescharacteristic, complemented
87#15689038C2211yescharacteristic, complemented
88#15689038C2211yescharacteristic, complemented
89#15689038C2211yescharacteristic, complemented
90#15689038C2211yescharacteristic, complemented
91#15689038C2211yescharacteristic, complemented
92#15689034C2211yescharacteristic, complemented
93#15689034C2211yescharacteristic, complemented
94#15689033C2211yescharacteristic
95#15689033C2211yescharacteristic
96#15689032C2211yescharacteristic
97#15689032C2211yescharacteristic
98#15689032C2211yescharacteristic
99#15689032C2211yescharacteristic
100#15689032C2211yescharacteristic, complemented
101#15689032C2211yescharacteristic, complemented
102#15689032C2211yescharacteristic, complemented
103#15689031C2211yescharacteristic, complemented
104#15689031C2211yescharacteristic, complemented
105#15689025C2211yescharacteristic
106#15689025C2211yescharacteristic
107#15689025C2211yescharacteristic
108#15689025C2211yescharacteristic
109#15689025C2211yescharacteristic, complemented
110#15689025C2211yescharacteristic, complemented
111#15689025C2211yescharacteristic, complemented
112#15689025C2211yescharacteristic, complemented
113#15689024C2211yescharacteristic, complemented
114#15689023C2211yescharacteristic, complemented
115#15689023C2211yescharacteristic, complemented
116#15689023C2211yescharacteristic, complemented
117#15689016C2211yescharacteristic, complemented
118#15689015C2211yescharacteristic, complemented
119#15689015C2211yescharacteristic, complemented
120#15689015C2211yescharacteristic, complemented
121#15689014C2211yescharacteristic, complemented
122#15689014C2211yescharacteristic, complemented
123#15689014C2211yescharacteristic, complemented
124#15689013C2211yescharacteristic, complemented
125#15689013C2211yescharacteristic, complemented
126#15689013C2211yescharacteristic, complemented
127#15689012C2211yescharacteristic, complemented
128#15689012C2211yescharacteristic, complemented
129#15689010C2211yescharacteristic, complemented
130#15689008C2211yescharacteristic, complemented
131#15689008C2211yescharacteristic, complemented
132#15689007C2211yescharacteristic, complemented
133#15689007C2211yescharacteristic, complemented
134#15689007C2211yescharacteristic, complemented
135#15689003C2211yescharacteristic
136#15689003C2211yescharacteristic
137#15689002C2211yescharacteristic
138#15689002C2211yescharacteristic
139#15689002C2211yescharacteristic
140#15689001C2211yescharacteristic
141#15689001C2211yescharacteristic
142#15689001C2211yescharacteristic, complemented
143#15689001C2211yescharacteristic, complemented
144#15689001C2211yescharacteristic, complemented
145#15689001C2211yescharacteristic, complemented
146#15689000C2211yescharacteristic
147#15689000C2211yescharacteristic, complemented
148#15689000C2211yescharacteristic, complemented
149#15689000C2211yescharacteristic, complemented
150#15688999C2211yescharacteristic, complemented
151#15688999C2211yescharacteristic, complemented
152#15688999C2211yescharacteristic, complemented
153#15688998C2211yescharacteristic, complemented
154#15688998C2211yescharacteristic, complemented
155#15688996C2211yescharacteristic, complemented
156#15688996C2211yescharacteristic, complemented
157#15688996C2211yescharacteristic, complemented
158#15688994C2211yescharacteristic, complemented
159#15688994C2211yescharacteristic, complemented
160#15688994C2211yescharacteristic, complemented
161#15688991C2211yescharacteristic, complemented
162#15688985C2211yescharacteristic, complemented
163#15688985C2211yescharacteristic, complemented
164#15688981C2211yescharacteristic, complemented
165#15688980C2211yescharacteristic, complemented
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic, complemented
168#15688978C2211yescharacteristic, complemented
169#15688978C2211yescharacteristic, complemented
170#15688978C2211yescharacteristic, complemented
171C22⋊C4×Dic47C2211yescharacteristic, complemented
172C2×#124×C47C2211yescharacteristic, complemented
173C2×C22⋊Q8×C47C2211yescharacteristic, complemented
174C2×#121×C47C2211yescharacteristic
175C22×C42×C47C2211yescharacteristic, complemented
176C47×#391C2211yescharacteristic, complemented
177C47×#390C2211yescharacteristic, complemented
178C47×#388C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#388C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#386C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic, complemented
186C47×#382C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C24×D47C2311yescharacteristic
190C22×D188—24no—
191C22×D188—42no—
192C22×D188—42no—
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C2×D4×D47—24no—
210C2×D4×D47—42no—
211C2×D4×D47—42no—
212C23×Dic47C2311yescharacteristic
213C23×Dic47C2311yescharacteristic
214C23×Dic47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218#13094018—42no—
219#13094017—42no—
220#13094013—42no—
221#13094008—42no—
222#13094000—42no—
223#13093997—42no—
224#13093997—42no—
225#13093996—42no—
226#13093996—42no—
227#13093994—42no—
228#13093994—42no—
229#13093994—42no—
230#13093992—24no—
231#13093992—42no—
232#13093992—42no—
233#13093992—42no—
234D4×Dic47—42no—
235C2×C4⋊Dic47—42no—
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×(C2×D47)⋊C4—42no—
262C2×(C2×D47)⋊C4—42no—
263C2×(C2×D47)⋊C4—42no—
264C2×(C2×D47)⋊C4—42no—
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C22⋊C4×D47—42no—
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
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
336C22×Q8×C47C2311yescharacteristic
337C22×D4×C47C2311yescharacteristic
338C22×D4×C47C2311yescharacteristic
339C22×D4×C47C2311yescharacteristic
340C23×C4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343#124×C47—42no—
344C22⋊Q8×C47—42no—
345#121×C47—42no—
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C42×C47—42no—
363C2×C42×C47C2311yescharacteristic
364C2×C42×C47C2311yescharacteristic
365C2×C42×C47C2311yescharacteristic
366C2×C42×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375C24×C47C2411yescharacteristic
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—22no—
382C23×D47—22no—
383C23×D47—22no—
384C23×D47—41no—
385C23×D47—41no—
386C23×D47—41no—
387C23×D47—41no—
388C23×D47—41no—
389C23×D47—41no—
390C23×D47—41no—
391C23×D47—41no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47—41no—
395C23×D47—41no—
396C23×D47—41no—
397C23×D47—41no—
398C23×D47#4114yes—
399C23×D47C2411yescharacteristic
400C23×D47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C2×Q8×C47—22no—
405C2×Q8×C47—41no—
406C2×Q8×C47—41no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—22no—
410C2×D4×C47—22no—
411C2×D4×C47—22no—
412C2×D4×C47—22no—
413C2×D4×C47—22no—
414C2×D4×C47—41no—
415C2×D4×C47—41no—
416C22×C4×C47—22no—
417C22×C4×C47—22no—
418C22×C4×C47—22no—
419C22×C4×C47—22no—
420C22×C4×C47—22no—
421C22×C4×C47—22no—
422C22×C4×C47—41no—
423C22×C4×C47—41no—
424C22×C4×C47—41no—
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C2×C22⋊D47—22no—
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47—41no—
447C2×C22⋊D47—41no—
448C2×C22⋊D47—41no—
449C2×C22⋊D47—41no—
450C2×C22⋊D47—41no—
451C2×C22⋊D47—41no—
452C2×C22⋊D47—41no—
453C2×C22⋊D47—41no—
454C2×C22⋊D47—41no—
455C2×C22⋊D47—41no—
456C2×C22⋊D47—41no—
457C2×C22⋊D47—41no—
458C2×C22⋊D47—41no—
459C2×C22⋊D47—41no—
460C2×C22⋊D47—41no—
461C2×C22⋊D47—41no—
462C2×C22⋊D47—41no—
463C2×C22⋊D47—41no—
464C22×Dic47—22no—
465C22×Dic47—22no—
466C22×Dic47—41no—
467C22×Dic47—41no—
468C22×Dic47—41no—
469C22×Dic47—41no—
470C22×Dic47—41no—
471C22×Dic47—41no—
472C22×Dic47—41no—
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2411yescharacteristic
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483C22×Dic47C2411yescharacteristic
484D4×D47—416no—
485C2×D188—22no—
486C2×D188—22no—
487C2×D188—22no—
488C2×D188—22no—
489C2×D188—22no—
490C2×D188—22no—
491C2×D188—22no—
492C2×D188—22no—
493C2×D188—22no—
494C2×D188—41no—
495C2×D188—41no—
496C2×D188—41no—
497C2×D188—41no—
498C2×D188—41no—
499C2×D188—41no—
500C2×D188—416no—
501C2×D188—41no—
502C2×D188—41no—
503C2×D188—41no—
504C2×D188—41no—
505C2×D188—41no—
506C2×D188—41no—
507C2×C4×D47—22no—
508C2×C4×D47—41no—
509C2×C4×D47—41no—
510C2×C4×D47—41no—
511C2×C4×D47—41no—
512C2×C4×D47—41no—
513C2×C4×D47—41no—
514C2×C4×D47—41no—
515C2×C4×D47—41no—
516C4⋊C4×C47—41no—
517C4⋊C4×C47—41no—
518C4⋊C4×C47—41no—
519C4⋊C4×C47—41no—
520C22⋊C4×C47—22no—
521C22⋊C4×C47—22no—
522C22⋊C4×C47—22no—
523C22⋊C4×C47—22no—
524C22⋊C4×C47—22no—
525C22⋊C4×C47—22no—
526C22⋊C4×C47—41no—
527C22⋊C4×C47—41no—
528C22⋊C4×C47—41no—
529C22⋊C4×C47—41no—
530C22⋊C4×C47—41no—
531C22⋊C4×C47—41no—
532C42×C47—22no—
533C42×C47—22no—
534C42×C47—41no—
535C42×C47—41no—
536C22⋊Dic47—22no—
537C22⋊Dic47—22no—
538C22⋊Dic47—22no—
539C22⋊Dic47—41no—
540C22⋊Dic47—41no—
541C22⋊Dic47—41no—
542C22⋊Dic47—41no—
543C22⋊Dic47—41no—
544C22⋊Dic47—41no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—22no—
548(C2×D47)⋊C4—22no—
549(C2×D47)⋊C4—22no—
550(C2×D47)⋊C4—22no—
551(C2×D47)⋊C4—22no—
552(C2×D47)⋊C4—22no—
553(C2×D47)⋊C4—22no—
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—
560(C2×D47)⋊C4—41no—
561(C2×D47)⋊C4—41no—
562(C2×D47)⋊C4—41no—
563(C2×D47)⋊C4—41no—
564(C2×D47)⋊C4—41no—
565(C2×D47)⋊C4—41no—
566(C2×D47)⋊C4—41no—
567(C2×D47)⋊C4—41no—
568(C2×D47)⋊C4—41no—
569(C2×D47)⋊C4—41no—
570(C2×D47)⋊C4—41no—
571(C2×D47)⋊C4—41no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4—41no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊C4—41no—
579(C2×D47)⋊C4—41no—
580(C2×D47)⋊C4—41no—
581(C2×D47)⋊C4—41no—
582(C2×D47)⋊C4—41no—
583(C2×D47)⋊C4—41no—
584(C2×D47)⋊C4—41no—
585(C2×D47)⋊C4—41no—
586(C2×D47)⋊C4—41no—
587(C2×D47)⋊C4—41no—
588C4⋊Dic47—22no—
589C4⋊Dic47—22no—
590C4⋊Dic47—41no—
591C4⋊Dic47—41no—
592C4⋊Dic47—41no—
593C4⋊Dic47—41no—
594C4⋊Dic47—41no—
595Dic47⋊C4—22no—
596Dic47⋊C4—22no—
597Dic47⋊C4—22no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601Dic47⋊C4—41no—
602Dic47⋊C4—41no—
603Dic47⋊C4—41no—
604C4×Dic47—41no—
605C4×Dic47—41no—
606C4×Dic47—41no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47C2×#4112yes—
626C23×C47H(5,𝔽2)12yes—
627C23×C47H(5,𝔽2)12yes—
628C23×C47C2511yescharacteristic
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—21no—
639C22×D47—21no—
640C22×D47—21no—
641C22×D47—28no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47—21no—
647C22×D47—21no—
648C22×D47—21no—
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—21no—
653C22×D47—21no—
654C22×D47—21no—
655C22×D47—21no—
656C22×D47—21no—
657C22×D47—21no—
658C22×D47—21no—
659C22×D47—21no—
660C22×D47—21no—
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—44no—
664C22×D47—44no—
665C22×D47—44no—
666C22×D47—44no—
667C22×D47—44no—
668C22×D47—44no—
669C22×D47—82no—
670C22×D47—82no—
671C22×D47—82no—
672C22×D47—82no—
673C22×D47—82no—
674C22×D47—82no—
675C22×D47—82no—
676C22×D47—82no—
677C22×D47—82no—
678C22×D47—82no—
679C22×D47—82no—
680C22×D47—82no—
681C22×D47—82no—
682C22×D47—82no—
683C22×D47C2×#4112yes—
684C22×D47C2×#4112yes—
685Q8×C47—82no—
686D4×C47—44no—
687D4×C47—44no—
688D4×C47—82no—
689C2×C4×C47—28no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—21no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47—21no—
708C2×C4×C47—21no—
709C2×C4×C47—21no—
710C2×C4×C47—21no—
711C2×C4×C47—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—21no—
722C2×C4×C47—21no—
723C2×C4×C47—44no—
724C2×C4×C47—44no—
725C2×C4×C47H(5,𝔽2)12yes—
726C2×C4×C47H(5,𝔽2)12yes—
727C2×C4×C47H(5,𝔽2)12yes—
728C22⋊D47—44no—
729C22⋊D47—44no—
730C22⋊D47—82no—
731C22⋊D47—82no—
732C22⋊D47—82no—
733C22⋊D47—82no—
734C22⋊D47—82no—
735C22⋊D47—82no—
736C22⋊D47—82no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—82no—
771C2×Dic47—82no—
772C2×Dic47—82no—
773D188—44no—
774D188—44no—
775D188—44no—
776D188—44no—
777D188—44no—
778D188—82no—
779D188—82no—
780C4×D47—44no—
781C4×D47—82no—
782C4×D47—82no—
783#36808—471nomaximal, Sylow
784C22×C47—22no—
785C22×C47—22no—
786C22×C47—22no—
787C22×C47—22no—
788C22×C47—22no—
789C22×C47—22no—
790C22×C47—41no—
791C22×C47—41no—
792C22×C47—41no—
793C22×C47—41no—
794C22×C47—41no—
795C22×C47—41no—
796C22×C47—41no—
797C22×C47—41no—
798C22×C47—41no—
799C22×C47—41no—
800C22×C47—41no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47#53814yes—
805C22×C47C22×#4111yescharacteristic
806C22×C47C2×H(5,𝔽2)11yescharacteristic
807C22×C47C2×H(5,𝔽2)11yescharacteristic
808C22×C47C2×H(5,𝔽2)11yescharacteristic
809C22×C47C2×H(5,𝔽2)11yescharacteristic
810C22×C47C2×H(5,𝔽2)11yescharacteristic
811C22×C47#58511yescharacteristic
812C2×D47—22no—
813C2×D47—22no—
814C2×D47—22no—
815C2×D47—22no—
816C2×D47—22no—
817C2×D47—22no—
818C2×D47—41no—
819C2×D47—41no—
820C2×D47—41no—
821C2×D47—41no—
822C2×D47—41no—
823C2×D47—41no—
824C2×D47—41no—
825C2×D47—41no—
826C2×D47—41no—
827C2×D47—41no—
828C2×D47—41no—
829C2×D47—41no—
830C2×D47—41no—
831C2×D47—41no—
832C2×D47—41no—
833C2×D47—41no—
834C2×D47—41no—
835C2×D47—41no—
836C2×D47—41no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47—41no—
840C2×D47—41no—
841C2×D47—41no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—88no—
848C2×D47—88no—
849C2×D47—88no—
850C4×C47—22no—
851C4×C47—22no—
852C4×C47—22no—
853C4×C47—41no—
854C4×C47—41no—
855C4×C47—41no—
856C4×C47—41no—
857C4×C47—41no—
858C4×C47—41no—
859C4×C47—41no—
860C4×C47—41no—
861C4×C47—41no—
862Dic47—41no—
863Dic47—41no—
864Dic47—41no—
865Dic47—41no—
866Dic47—41no—
867Dic47—41no—
868Dic47—41no—
869Dic47—41no—
870Dic47—41no—
871Dic47—41no—
872Dic47—41no—
873#2852—471no—
874#2850D4711yescharacteristic, complemented
875#2797—471no—
876#2761—471no—
877#2756—471no—
878#2753—471no—
879#2752—471no—
880#2751—471no—
881#2749—471no—
882#2730—471no—
883#2714—471no—
884#2714—471no—
885#2703—471no—
886#2685—471no—
887#2685—471no—
888#2678—471no—
889#2676—471no—
890#2670—471no—
891#2622—471no—
892#2617—471no—
893#2481—471no—
894#2472—471no—
895#2443—471no—
896#2437—471no—
897#2424—471no—
898#2410—471no—
899#2410—471no—
900#2403—471no—
901#2321—471no—
902#2308—471no—
903C2×#390—471no—
904C2×C47—24no—
905C2×C47—81no—
906C2×C47—81no—
907C2×C47C2×#53811yescharacteristic
908C2×C47#349011yescharacteristic
909C2×C47#350511yescharacteristic
910C2×C47#353711yescharacteristic
911C2×C47#354211yescharacteristic
912C2×C47#354311yescharacteristic
913C2×C47#355811yescharacteristic
914D47—42no—
915D47—42no—
916D47—81no—
917D47—81no—
918D47—81no—
919C23×D4—471no—
920C23×D4—471no—
921C2×#126—471no—
922C2×#126—471no—
923C2×#124—471no—
924C2×#124C2×D4711yescharacteristic, complemented
925C2×#123—471no—
926C2×C22⋊Q8—471no—
927C2×C22⋊Q8C2×D4711yescharacteristic, complemented
928C2×#121—471no—
929C2×#121—471no—
930C2×#121—471no—
931C2×#121—471no—
932C2×#121C2×D4711yescharacteristic
933C2×#120—471no—
934C2×#120—471no—
935C2×#120—471no—
936C2×#120—471no—
937C2×#120—471no—
938C2×#120—471no—
939C2×#120—471no—
940C2×C4×D4—471no—
941C22×C4⋊C4—471no—
942C22×C22⋊C4—471no—
943C22×C22⋊C4—471no—
944C22×C22⋊C4—471no—
945C22×C22⋊C4—471no—
946C22×C22⋊C4—471no—
947C22×C42C2×D4711yescharacteristic, complemented
948#400—471no—
949#400—471no—
950#399—471no—
951#399—471no—
952#398—471no—
953#397—471no—
954#397—471no—
955#397—471no—
956#397—471no—
957#397—471no—
958#397—471no—
959#397—471no—
960#397—471no—
961#397—471no—
962#396—471no—
963#396—471no—
964#396—471no—
965#396—471no—
966#394—471no—
967#394—471no—
968#394—471no—
969#394—471no—
970#394—471no—
971#394—471no—
972#394—471no—
973#394—471no—
974#394—471no—
975#394—471no—
976#394—471no—
977#394—471no—
978#394—471no—
979#394—471no—
980#394—471no—
981#394—471no—
982#394—471no—
983#393—471no—
984#393—471no—
985#392—471no—
986#392—471no—
987#392—471no—
988#392—471no—
989#392—471no—
990#392—471no—
991#392—471no—
992#392—471no—
993#392—471no—
994#392—471no—
995#392—471no—
996#391C2×D4711yescharacteristic, complemented
997#390—471no—
998#390—471no—
999#390—471no—
1000#390—471no—
1001#390—471no—
1002#390—471no—
1003#390—471no—
1004#390—471no—
1005#390—471no—
1006#390—471no—
1007#390—471no—
1008#390—471no—
1009#390C2×D4711yescharacteristic, complemented
1010#388—471no—
1011#388—471no—
1012#388—471no—
1013#388—471no—
1014#388—471no—
1015#388—471no—
1016#388—471no—
1017#388—471no—
1018#388—471no—
1019#388—471no—
1020#388—471no—
1021#388—471no—
1022#388C2×D4711yescharacteristic, complemented
1023#388C2×D4711yescharacteristic, complemented
1024#388C2×D4711yescharacteristic, complemented
1025#388C2×D4711yescharacteristic, complemented
1026#387—471no—
1027#387—471no—
1028#387—471no—
1029#387—471no—
1030#387—471no—
1031#387—471no—
1032#386—471no—
1033#386—471no—
1034#386—471no—
1035#386—471no—
1036#386—471no—
1037#386—471no—
1038#386—471no—
1039#386—471no—
1040#386—471no—
1041#386—471no—
1042#386—471no—
1043#386—471no—
1044#386—471no—
1045#386—471no—
1046#386—471no—
1047#386—471no—
1048#386—471no—
1049#386—471no—
1050#386C2×D4711yescharacteristic
1051#386C2×D4711yescharacteristic
1052#386C2×D4711yescharacteristic, complemented
1053#386C2×D4711yescharacteristic, complemented
1054#385—471no—
1055#385—471no—
1056#385—471no—
1057#385—471no—
1058#385—471no—
1059#385—471no—
1060#385—471no—
1061#385—471no—
1062#383—471no—
1063#382C2×D4711yescharacteristic, complemented
1064#381—471no—
1065#381—471no—
1066#380—471no—
1067#380—471no—
1068#379—471no—
1069#379—471no—
1070#379—471no—
1071#379—471no—
1072#379—471no—
1073C4×C22⋊C4—471no—
1074C47#3680811yescharacteristic, complemented, Sylow
1075C25—471no—
1076C25—471no—
1077C25—471no—
1078C22×Q8C22×D4711yescharacteristic
1079C22×D4—471no—
1080C22×D4—471no—
1081C22×D4—471no—
1082C22×D4—471no—
1083C22×D4—471no—
1084C22×D4—471no—
1085C22×D4—471no—
1086C22×D4—471no—
1087C22×D4—471no—
1088C22×D4—471no—
1089C22×D4—471no—
1090C22×D4—471no—
1091C22×D4—471no—
1092C22×D4—471no—
1093C22×D4—471no—
1094C22×D4—471no—
1095C22×D4—944no—
1096C22×D4—944no—
1097C22×D4—1882no—
1098C22×D4—1882no—
1099C22×D4—1882no—
1100C22×D4—1882no—
1101C22×D4C22×D4711yescharacteristic
1102C22×D4C22×D4711yescharacteristic
1103C22×D4C22×D4711yescharacteristic
1104C23×C4—471no—
1105C23×C4—471no—
1106C23×C4—471no—
1107C23×C4—471no—
1108C23×C4—471no—
1109C23×C4—471no—
1110C23×C4C22×D4711yescharacteristic
1111C23×C4C22×D4711yescharacteristic
1112C23×C4C22×D4711yescharacteristic
1113#126—1882no—
1114#126—1882no—
1115#124—42no—
1116#124—1882no—
1117#123—1882no—
1118C22⋊Q8—42no—
1119C22⋊Q8—1882no—
1120#121—42no—
1121#121—1882no—
1122#121—1882no—
1123#121—1882no—
1124#121—1882no—
1125#120—944no—
1126#120—1882no—
1127#120—1882no—
1128#120—1882no—
1129#120—1882no—
1130#120—1882no—
1131#120—1882no—
1132C4×D4—1882no—
1133C2×C4⋊C4—471no—
1134C2×C4⋊C4—471no—
1135C2×C4⋊C4—471no—
1136C2×C4⋊C4—471no—
1137C2×C4⋊C4—471no—
1138C2×C4⋊C4—471no—
1139C2×C4⋊C4—471no—
1140C2×C4⋊C4—471no—
1141C2×C4⋊C4—471no—
1142C2×C4⋊C4—471no—
1143C2×C4⋊C4—471no—
1144C2×C4⋊C4—471no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—1882no—
1150C2×C4⋊C4C22×D4711yescharacteristic
1151C2×C4⋊C4C22×D4711yescharacteristic
1152C2×C4⋊C4C22×D4711yescharacteristic
1153C2×C4⋊C4C22×D4711yescharacteristic
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—471no—
1193C2×C22⋊C4—471no—
1194C2×C22⋊C4—471no—
1195C2×C22⋊C4—471no—
1196C2×C22⋊C4—471no—
1197C2×C22⋊C4—471no—
1198C2×C22⋊C4—471no—
1199C2×C22⋊C4—471no—
1200C2×C22⋊C4—471no—
1201C2×C22⋊C4—471no—
1202C2×C22⋊C4—471no—
1203C2×C22⋊C4—471no—
1204C2×C22⋊C4—471no—
1205C2×C22⋊C4—471no—
1206C2×C22⋊C4—1882no—
1207C2×C22⋊C4—1882no—
1208C2×C22⋊C4—1882no—
1209C2×C22⋊C4—1882no—
1210C2×C22⋊C4—1882no—
1211C2×C22⋊C4C22×D4711yescharacteristic
1212C2×C22⋊C4C22×D4711yescharacteristic
1213C2×C22⋊C4C22×D4711yescharacteristic
1214C2×C22⋊C4C22×D4711yescharacteristic
1215C2×C22⋊C4C22×D4711yescharacteristic
1216C2×C22⋊C4C22×D4711yescharacteristic
1217C2×C22⋊C4C22×D4711yescharacteristic
1218C2×C22⋊C4C22×D4711yescharacteristic
1219C2×C22⋊C4C22×D4711yescharacteristic
1220C2×C22⋊C4C22×D4711yescharacteristic
1221C2×C22⋊C4C22×D4711yescharacteristic
1222C2×C22⋊C4C22×D4711yescharacteristic
1223C2×C42—42no—
1224C2×C42—471no—
1225C2×C42—471no—
1226C2×C42—471no—
1227C2×C42C22×D4711yescharacteristic
1228C2×C42C22×D4711yescharacteristic
1229C2×C42C22×D4711yescharacteristic
1230C2×C42C22×D4711yescharacteristic
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95—471no—
1237#95—471no—
1238#95—471no—
1239#95—471no—
1240#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95—471no—
1246#95—471no—
1247#95—471no—
1248#95—471no—
1249#95—471no—
1250#95—471no—
1251#95—471no—
1252#95—471no—
1253#95—471no—
1254#95—471no—
1255#95C22×D4711yescharacteristic
1256#95C22×D4711yescharacteristic
1257#95C22×D4711yescharacteristic
1258#95C22×D4711yescharacteristic
1259#95C22×D4711yescharacteristic
1260#95C22×D4711yescharacteristic
1261#95C22×D4711yescharacteristic
1262#95C22×D4711yescharacteristic
1263C24—471no—
1264C24—471no—
1265C24—474no—
1266C24—471no—
1267C24—471no—
1268C24—471no—
1269C24—942no—
1270C24—942no—
1271C24—942no—
1272C24—942no—
1273C24—942no—
1274C24—942no—
1275C24—1881no—
1276C24—1881no—
1277C24—1881no—
1278C24—1881no—
1279C24—1881no—
1280C24—1881no—
1281C24—1881no—
1282C24—1881no—
1283C24—1881no—
1284C24—1881no—
1285C24—1881no—
1286C24—1881no—
1287C24—1881no—
1288C24—1881no—
1289C24C23×D4711yescharacteristic
1290C24C23×D4711yescharacteristic
1291C24C23×D4711yescharacteristic
1292C2×Q8—22no—
1293C2×Q8—41no—
1294C2×Q8—41no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—942no—
1305C2×D4—942no—
1306C2×D4—942no—
1307C2×D4—942no—
1308C2×D4—942no—
1309C2×D4—942no—
1310C2×D4—942no—
1311C2×D4—942no—
1312C2×D4—942no—
1313C2×D4—942no—
1314C2×D4—942no—
1315C2×D4—942no—
1316C2×D4—942no—
1317C2×D4—942no—
1318C2×D4—942no—
1319C2×D4—1881no—
1320C2×D4—1881no—
1321C2×D4—1881no—
1322C2×D4—1881no—
1323C2×D4—1881no—
1324C2×D4—1881no—
1325C2×D4—1881no—
1326C2×D4—1881no—
1327C2×D4—1881no—
1328C2×D4—1881no—
1329C2×D4—1881no—
1330C2×D4—1881no—
1331C2×D4—18816no—
1332C2×D4—1881no—
1333C2×D4—1881no—
1334C2×D4—1881no—
1335C2×D4—1881no—
1336C2×D4—1881no—
1337C2×D4—1881no—
1338C2×D4—1881no—
1339C2×D4—1881no—
1340C2×D4—1881no—
1341C2×D4—1881no—
1342C2×D4—1881no—
1343C2×D4—1881no—
1344C2×D4—1881no—
1345C2×D4—1881no—
1346C2×D4—1881no—
1347C2×D4—1881no—
1348C2×D4—1881no—
1349C2×D4—1881no—
1350C2×D4—1881no—
1351C2×D4—1881no—
1352C2×D4—1881no—
1353C2×D4—18816no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—471no—
1364C22×C4—471no—
1365C22×C4—471no—
1366C22×C4—471no—
1367C22×C4—471no—
1368C22×C4—471no—
1369C22×C4—471no—
1370C22×C4—471no—
1371C22×C4—471no—
1372C22×C4—471no—
1373C22×C4—471no—
1374C22×C4—942no—
1375C22×C4—942no—
1376C22×C4—942no—
1377C22×C4—1881no—
1378C22×C4—1881no—
1379C22×C4—1881no—
1380C22×C4—1881no—
1381C22×C4—1881no—
1382C22×C4—1881no—
1383C22×C4—1881no—
1384C22×C4—1881no—
1385C22×C4—1881no—
1386C22×C4—1881no—
1387C22×C4—1881no—
1388C22×C4—1881no—
1389C22×C4—1881no—
1390C22×C4—1881no—
1391C22×C4—1881no—
1392C22×C4C23×D4711yescharacteristic
1393C22×C4C23×D4711yescharacteristic
1394C22×C4C23×D4711yescharacteristic
1395C22×C4C23×D4711yescharacteristic
1396C22×C4C23×D4711yescharacteristic
1397C22×C4C23×D4711yescharacteristic
1398C22×C4C23×D4711yescharacteristic
1399C22×C4C23×D4711yescharacteristic
1400C22×C4C23×D4711yescharacteristic
1401C22×C4C23×D4711yescharacteristic
1402C22×C4C23×D4711yescharacteristic
1403C22×C4C23×D4711yescharacteristic
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—942no—
1409C4⋊C4—942no—
1410C4⋊C4—942no—
1411C4⋊C4—942no—
1412C4⋊C4—942no—
1413C4⋊C4—1881no—
1414C4⋊C4—1881no—
1415C4⋊C4—1881no—
1416C4⋊C4—1881no—
1417C4⋊C4—1881no—
1418C4⋊C4—1881no—
1419C4⋊C4—1881no—
1420C4⋊C4—1881no—
1421C4⋊C4—1881no—
1422C4⋊C4—1881no—
1423C4⋊C4—1881no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—942no—
1437C22⋊C4—942no—
1438C22⋊C4—942no—
1439C22⋊C4—942no—
1440C22⋊C4—942no—
1441C22⋊C4—942no—
1442C22⋊C4—942no—
1443C22⋊C4—942no—
1444C22⋊C4—942no—
1445C22⋊C4—942no—
1446C22⋊C4—942no—
1447C22⋊C4—942no—
1448C22⋊C4—1881no—
1449C22⋊C4—1881no—
1450C22⋊C4—1881no—
1451C22⋊C4—1881no—
1452C22⋊C4—1881no—
1453C22⋊C4—1881no—
1454C22⋊C4—1881no—
1455C22⋊C4—1881no—
1456C22⋊C4—1881no—
1457C22⋊C4—1881no—
1458C22⋊C4—1881no—
1459C22⋊C4—1881no—
1460C22⋊C4—1881no—
1461C22⋊C4—1881no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4—1881no—
1466C22⋊C4—1881no—
1467C22⋊C4—1881no—
1468C22⋊C4—1881no—
1469C22⋊C4—1881no—
1470C22⋊C4—1881no—
1471C22⋊C4—1881no—
1472C22⋊C4—1881no—
1473C22⋊C4—1881no—
1474C22⋊C4—1881no—
1475C22⋊C4—1881no—
1476C22⋊C4—1881no—
1477C22⋊C4—1881no—
1478C22⋊C4—1881no—
1479C22⋊C4—1881no—
1480C22⋊C4—1881no—
1481C22⋊C4—1881no—
1482C22⋊C4—1881no—
1483C22⋊C4—1881no—
1484C22⋊C4—1881no—
1485C22⋊C4—1881no—
1486C22⋊C4—1881no—
1487C22⋊C4—1881no—
1488C42—22no—
1489C42—22no—
1490C42—41no—
1491C42—41no—
1492C42—1881no—
1493C42—1881no—
1494C42—1881no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—472no—
1514C23—472no—
1515C23—948no—
1516C23—941no—
1517C23—941no—
1518C23—941no—
1519C23—941no—
1520C23—941no—
1521C23—941no—
1522C23—941no—
1523C23—941no—
1524C23—941no—
1525C23—941no—
1526C23—941no—
1527C23—941no—
1528C23—941no—
1529C23—941no—
1530C23—941no—
1531C23—941no—
1532C23—941no—
1533C23—941no—
1534C23—941no—
1535C23—941no—
1536C23—941no—
1537C23—941no—
1538C23—941no—
1539C23—941no—
1540C23—941no—
1541C23—941no—
1542C23—941no—
1543C23—941no—
1544C23—941no—
1545C23—941no—
1546C23—941no—
1547C23—941no—
1548C23—941no—
1549C23—3762no—
1550C23—3762no—
1551C23—3762no—
1552C23—3762no—
1553C23—3762no—
1554C23—3762no—
1555C23—3762no—
1556C23—3762no—
1557C23—3762no—
1558C23—3762no—
1559C23—3762no—
1560C23—3762no—
1561C23—3762no—
1562C23—3762no—
1563C23—1884no—
1564C23—1884no—
1565C23—1884no—
1566C23—1884no—
1567C23—1884no—
1568C23—1884no—
1569C23#41×D4712yes—
1570C23#1309406912yes—
1571C23#1309407012yes—
1572C23C24×D4711yescharacteristic
1573Q8—82no—
1574D4—44no—
1575D4—44no—
1576D4—82no—
1577D4—3762no—
1578D4—3762no—
1579D4—3762no—
1580D4—3762no—
1581D4—3762no—
1582D4—3762no—
1583D4—3762no—
1584D4—3762no—
1585D4—3762no—
1586D4—1884no—
1587D4—1884no—
1588D4—1884no—
1589D4—1884no—
1590D4—1884no—
1591D4—1884no—
1592D4—1884no—
1593C2×C4—28no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—941no—
1630C2×C4—941no—
1631C2×C4—941no—
1632C2×C4—941no—
1633C2×C4—941no—
1634C2×C4—941no—
1635C2×C4—941no—
1636C2×C4—941no—
1637C2×C4—941no—
1638C2×C4—941no—
1639C2×C4—941no—
1640C2×C4—941no—
1641C2×C4—941no—
1642C2×C4—941no—
1643C2×C4—941no—
1644C2×C4—941no—
1645C2×C4—941no—
1646C2×C4—941no—
1647C2×C4—941no—
1648C2×C4—941no—
1649C2×C4—941no—
1650C2×C4—941no—
1651C2×C4—941no—
1652C2×C4—941no—
1653C2×C4—941no—
1654C2×C4—941no—
1655C2×C4—941no—
1656C2×C4—941no—
1657C2×C4—941no—
1658C2×C4—941no—
1659C2×C4—941no—
1660C2×C4—941no—
1661C2×C4—941no—
1662C2×C4—3762no—
1663C2×C4—3762no—
1664C2×C4—3762no—
1665C2×C4—3762no—
1666C2×C4—3762no—
1667C2×C4—1884no—
1668C2×C4#1309406912yes—
1669C2×C4#1309407012yes—
1670C2×C4#1309407012yes—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—942no—
1692C22—942no—
1693C22—942no—
1694C22—942no—
1695C22—942no—
1696C22—942no—
1697C22—3768no—
1698C22—3768no—
1699C22—3768no—
1700C22—1881no—
1701C22—1881no—
1702C22—1881no—
1703C22—1881no—
1704C22—1881no—
1705C22—1881no—
1706C22—1881no—
1707C22—1881no—
1708C22—1881no—
1709C22—1881no—
1710C22—1881no—
1711C22—1881no—
1712C22—1881no—
1713C22—1881no—
1714C22—1881no—
1715C22—1881no—
1716C22—1881no—
1717C22—1881no—
1718C22—1881no—
1719C22—1881no—
1720C22—1881no—
1721C22—1881no—
1722C22—1881no—
1723C22—1881no—
1724C22—1881no—
1725C22—1881no—
1726C22—1881no—
1727C22—1881no—
1728C22—1881no—
1729C22#1568970714yes—
1730C22C2×#41×D4711yescharacteristic
1731C22C2×#1309406911yescharacteristic
1732C22C2×#1309406911yescharacteristic
1733C22C2×#1309407011yescharacteristic
1734C22C2×#1309407011yescharacteristic
1735C22C2×#1309407011yescharacteristic
1736C22#1568995911yescharacteristic
1737C4—22no—
1738C4—22no—
1739C4—22no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—1881no—
1750C4—1881no—
1751C4—1881no—
1752C4—1881no—
1753C4—1881no—
1754C4—1881no—
1755C4—1881no—
1756C4—1881no—
1757C4—1881no—
1758C4—1881no—
1759C4—1881no—
1760C2—24no—
1761C2—81no—
1762C2—81no—
1763C2—3761no—
1764C2—3761no—
1765C2—3761no—
1766C2—1882no—
1767C2—1882no—
1768C2C2×#1568970711yescharacteristic
1769C2#2025707111yescharacteristic
1770C2#2025722311yescharacteristic
1771C2#2025762311yescharacteristic
1772C2#2025770411yescharacteristic
1773C2#2025771811yescharacteristic
1774C2#2025791111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2850C2
hypercenter#2850D47
hypocenterC47#36808
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2850

Complements

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

NH ≅ G/Ntype
1. #20251703C2semidirect
2. #20251248C2semidirect
3. #20250778C2semidirect
4. #20250714C2semidirect
5. #20250661C2semidirect
6. #20250653C2semidirect
7. #20250642C2semidirect
8. #20250606C2semidirect
9. #20250383C2semidirect
10. #20250188C2semidirect
11. #20250181C2semidirect
12. #20250029C2semidirect
13. #20249782C2semidirect
14. #20249777C2semidirect
15. #20249708C2semidirect
16. #20249684C2semidirect
17. #20249609C2semidirect
18. #20249165C2semidirect
19. #20249128C2semidirect
20. #20247648C2semidirect
21. #20247521C2semidirect
22. #20247121C2semidirect
23. #20247051C2semidirect
24. #20246930C2semidirect
25. #20246765C2semidirect
26. #20246759C2semidirect
27. #20246700C2semidirect
28. #20246051C2semidirect
29. #20245962C2semidirect
30. C2×#15689025C2semidirect
31. C47×#2850C2semidirect
34. C2×#13094018C22semidirect
35. C2×#13094017C22semidirect
36. C2×#13094013C22semidirect
37. C2×#13094008C22semidirect
38. C2×#13094000C22semidirect
39. C2×#13093997C22semidirect
40. C2×#13093997C22semidirect
42. C2×#13093996C22semidirect
48. C2×#13093992C22semidirect
49. C2×#13093992C22semidirect
50. C2×D4×Dic47C22semidirect
51. C22×C4⋊Dic47C22semidirect
54. C22×(C2×D47)⋊C4C22semidirect
55. C22×(C2×D47)⋊C4C22semidirect
57. #15689065C22semidirect
58. #15689063C22semidirect
59. #15689060C22semidirect
60. #15689058C22semidirect
61. #15689055C22semidirect
62. #15689052C22semidirect
63. #15689052C22semidirect
64. #15689052C22semidirect
65. #15689052C22semidirect
66. #15689050C22semidirect
67. #15689050C22semidirect
68. #15689049C22semidirect
69. #15689048C22semidirect
70. #15689048C22semidirect
71. #15689046C22semidirect
72. #15689045C22semidirect
73. #15689045C22semidirect
74. #15689045C22semidirect
77. #15689041C22semidirect
78. #15689041C22semidirect
79. #15689040C22semidirect
80. #15689040C22semidirect
81. #15689040C22semidirect
82. #15689039C22semidirect
83. #15689039C22semidirect
84. #15689039C22semidirect
85. #15689039C22semidirect
86. #15689038C22semidirect
87. #15689038C22semidirect
88. #15689038C22semidirect
89. #15689038C22semidirect
90. #15689038C22semidirect
91. #15689038C22semidirect
92. #15689034C22semidirect
93. #15689034C22semidirect
100. #15689032C22semidirect
101. #15689032C22semidirect
102. #15689032C22semidirect
103. #15689031C22semidirect
104. #15689031C22semidirect
109. #15689025C22semidirect
110. #15689025C22semidirect
111. #15689025C22semidirect
112. #15689025C22semidirect
113. #15689024C22semidirect
114. #15689023C22semidirect
115. #15689023C22semidirect
116. #15689023C22semidirect
117. #15689016C22semidirect
118. #15689015C22semidirect
119. #15689015C22semidirect
120. #15689015C22semidirect
121. #15689014C22semidirect
122. #15689014C22semidirect
123. #15689014C22semidirect
124. #15689013C22semidirect
125. #15689013C22semidirect
126. #15689013C22semidirect
127. #15689012C22semidirect
128. #15689012C22semidirect
129. #15689010C22semidirect
130. #15689008C22semidirect
131. #15689008C22semidirect
132. #15689007C22semidirect
133. #15689007C22semidirect
134. #15689007C22semidirect
142. #15689001C22semidirect
143. #15689001C22semidirect
144. #15689001C22semidirect
145. #15689001C22semidirect
147. #15689000C22semidirect
148. #15689000C22semidirect
149. #15689000C22semidirect
150. #15688999C22semidirect
151. #15688999C22semidirect
152. #15688999C22semidirect
153. #15688998C22semidirect
154. #15688998C22semidirect
155. #15688996C22semidirect
156. #15688996C22semidirect
157. #15688996C22semidirect
158. #15688994C22semidirect
159. #15688994C22semidirect
160. #15688994C22semidirect
161. #15688991C22semidirect
162. #15688985C22semidirect
163. #15688985C22semidirect
164. #15688981C22semidirect
165. #15688980C22semidirect
167. #15688978C22semidirect
168. #15688978C22semidirect
169. #15688978C22semidirect
170. #15688978C22semidirect
171. C22⋊C4×Dic47C22semidirect
172. C2×#124×C47C22semidirect
173. C2×C22⋊Q8×C47C22semidirect
175. C22×C42×C47C22semidirect
176. C47×#391C22semidirect
177. C47×#390C22semidirect
178. C47×#388C22semidirect
179. C47×#388C22semidirect
180. C47×#388C22semidirect
181. C47×#388C22semidirect
184. C47×#386C22semidirect
185. C47×#386C22semidirect
186. C47×#382C22semidirect
874. #2850D47semidirect
924. C2×#124C2×D47semidirect
927. C2×C22⋊Q8C2×D47semidirect
947. C22×C42C2×D47semidirect
996. #391C2×D47semidirect
1009. #390C2×D47semidirect
1022. #388C2×D47semidirect
1023. #388C2×D47semidirect
1024. #388C2×D47semidirect
1025. #388C2×D47semidirect
1052. #386C2×D47semidirect
1053. #386C2×D47semidirect
1063. #382C2×D47semidirect
1074. C47#36808semidirect

Maximal subgroups

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

subgroupindex
#202517032
#202512482
#202507782
#202507142
#202506612
#202506532
#202506422
#202506062
#202503832
#202501882
#202501812
#202500292
#202497822
#202497772
#202497082
#202496842
#202496092
#202491652
#202491282
#202476482
#202475212
#202471212
#202470512
#202469302
#202467652
#202467592
#202467002
#202460512
#202459622
C2×#156890252
C47×#28502
#3680847