Finite Group Databasebeta

← #26379069

Subgroups — #26379069

Order 12032.

2586 conjugacy classes of subgroups.

The subgroup lattice has 1610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689631C211yesmaximal, characteristic
2#20246553C211yesmaximal, characteristic, complemented
3#20246550C211yesmaximal, characteristic, complemented
4#20246544C211yesmaximal, characteristic, complemented
5#20246541C211yesmaximal, characteristic, complemented
6#20246472C211yesmaximal, characteristic, complemented
7#20246465C211yesmaximal, characteristic, complemented
8#20246439C211yesmaximal, characteristic, complemented
9#20246432C211yesmaximal, characteristic, complemented
10#20246334C211yesmaximal, characteristic, complemented
11#20246333C211yesmaximal, characteristic, complemented
12#20246316C211yesmaximal, characteristic, complemented
13#20246312C211yesmaximal, characteristic, complemented
14#20246312C211yesmaximal, characteristic, complemented
15#20246311C211yesmaximal, characteristic, complemented
16#20246289C211yesmaximal, characteristic, complemented
17#20246286C211yesmaximal, characteristic, complemented
18#20246182C211yesmaximal, characteristic, complemented
19#20246178C211yesmaximal, characteristic, complemented
20#20246174C211yesmaximal, characteristic, complemented
21#20246050C211yesmaximal, characteristic, complemented
22#20246047C211yesmaximal, characteristic, complemented
23#20246044C211yesmaximal, characteristic, complemented
24#20246041C211yesmaximal, characteristic, complemented
25#20245992C211yesmaximal, characteristic, complemented
26#20245992C211yesmaximal, characteristic, complemented
27#20245978C211yesmaximal, characteristic, complemented
28#20245975C211yesmaximal, characteristic, complemented
29#20245769C211yesmaximal, characteristic, complemented
30#380×D47C211yesmaximal, characteristic, complemented
31C47×#2335C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689631C4116yescomplemented
35C2×#13094007C2211yescharacteristic
36C2×#13094002C2211yescharacteristic
37C2×#13094002C2211yescharacteristic
38C2×#13093997C2211yescharacteristic
39C2×#13093997C2211yescharacteristic
40C2×#13093994C2211yescharacteristic
41C2×#13093992C2211yescharacteristic
42C2×C4×D188C2211yescharacteristic
43C2×#13093986C2211yescharacteristic
44C2×#13093986C2211yescharacteristic
45C2×#13093986C2211yescharacteristic
46C2×C4×C22⋊D47C2211yescharacteristic
47C2×(C22⋊D47)⋊C4C2211yescharacteristic
48C2×(C22⋊D47)⋊C4C2211yescharacteristic
49C2×(C22⋊D47)⋊C4C2211yescharacteristic
50C2×#13093981C2211yescharacteristic
51C2×#13093981C2211yescharacteristic
52C2×#13093981C2211yescharacteristic, complemented
53C2×#13093980C2211yescharacteristic
54C2×#13093980C2211yescharacteristic, complemented
55C22×Dic47⋊C4C2211yescharacteristic, complemented
56C2×C4⋊C4×D47C2211yescharacteristic
57C2×C4⋊C4×D47C2211yescharacteristic
58C2×C4⋊C4×D47C2211yescharacteristic, complemented
59C2×C22⋊C4×D47C2211yescharacteristic
60C2×C22⋊C4×D47C2211yescharacteristic
61#15689029C2211yescharacteristic, complemented
62#15689028C2211yescharacteristic, complemented
63#15689027C2211yescharacteristic, complemented
64#15689027C2211yescharacteristic, complemented
65#15689026C2211yescharacteristic
66#15689025C2211yescharacteristic
67#15689024C2211yescharacteristic
68#15689023C2211yescharacteristic
69#15689023C2211yescharacteristic
70#15689023C2211yescharacteristic
71#15689023C2211yescharacteristic
72#15689022C2211yescharacteristic, complemented
73#15689020C2211yescharacteristic, complemented
74#15689018C2211yescharacteristic, complemented
75#15689017C2211yescharacteristic
76#15689017C2211yescharacteristic
77#15689016C2211yescharacteristic
78#15689016C2211yescharacteristic
79#15689016C2211yescharacteristic, complemented
80#15689016C2211yescharacteristic, complemented
81#15689015C2211yescharacteristic
82#15689015C2211yescharacteristic
83#15689015C2211yescharacteristic, complemented
84#15689014C2211yescharacteristic
85#15689014C2211yescharacteristic
86#15689014C2211yescharacteristic, complemented
87#15689013C2211yescharacteristic
88#15689013C2211yescharacteristic
89#15689013C2211yescharacteristic, complemented
90#15689012C2211yescharacteristic
91#15689012C2211yescharacteristic
92#15689012C2211yescharacteristic, complemented
93#15689011C2211yescharacteristic
94#15689011C2211yescharacteristic
95#15689010C2211yescharacteristic, complemented
96#15689010C2211yescharacteristic, complemented
97#15689010C2211yescharacteristic, complemented
98#15689009C2211yescharacteristic, complemented
99#15689009C2211yescharacteristic, complemented
100#15689007C2211yescharacteristic, complemented
101#15689007C2211yescharacteristic, complemented
102#15689007C2211yescharacteristic, complemented
103#15689005C2211yescharacteristic, complemented
104#15689005C2211yescharacteristic, complemented
105#15689005C2211yescharacteristic, complemented
106#15689004C2211yescharacteristic, complemented
107#15689004C2211yescharacteristic, complemented
108#15689004C2211yescharacteristic, complemented
109#15689003C2211yescharacteristic
110#15689002C2211yescharacteristic
111#15689002C2211yescharacteristic, complemented
112#15689001C2211yescharacteristic
113#15689001C2211yescharacteristic
114#15689001C2211yescharacteristic
115#15689001C2211yescharacteristic
116#15689000C2211yescharacteristic
117#15689000C2211yescharacteristic, complemented
118#15688999C2211yescharacteristic
119#15688999C2211yescharacteristic
120#15688999C2211yescharacteristic
121#15688999C2211yescharacteristic
122#15688999C2211yescharacteristic, complemented
123#15688999C2211yescharacteristic, complemented
124#15688998C2211yescharacteristic, complemented
125#15688997C2211yescharacteristic
126#15688997C2211yescharacteristic
127#15688997C2211yescharacteristic, complemented
128#15688994C2211yescharacteristic
129#15688994C2211yescharacteristic
130#15688994C2211yescharacteristic, complemented
131#15688992C2211yescharacteristic, complemented
132#15688992C2211yescharacteristic, complemented
133#15688987C2211yescharacteristic, complemented
134#15688987C2211yescharacteristic, complemented
135#15688985C2211yescharacteristic
136#15688985C2211yescharacteristic
137#15688983C2211yescharacteristic
138#15688982C2211yescharacteristic
139#15688982C2211yescharacteristic
140#15688982C2211yescharacteristic
141#15688982C2211yescharacteristic
142#15688982C2211yescharacteristic, complemented
143#15688982C2211yescharacteristic, complemented
144#15688981C2211yescharacteristic
145#15688981C2211yescharacteristic
146#15688981C2211yescharacteristic
147#15688981C2211yescharacteristic
148#15688981C2211yescharacteristic, complemented
149#15688981C2211yescharacteristic, complemented
150#15688980C2211yescharacteristic
151#15688980C2211yescharacteristic
152#15688978C2211yescharacteristic
153#15688978C2211yescharacteristic
154C4⋊C4×Dic47C2211yescharacteristic, complemented
155C4×Dic47⋊C4C2211yescharacteristic, complemented
156C4×Dic47⋊C4C2211yescharacteristic, complemented
157C4×Dic47⋊C4C2211yescharacteristic, complemented
158#15688974C2211yescharacteristic, complemented
159#15688974C2211yescharacteristic, complemented
160#15688974C2211yescharacteristic, complemented
161C22⋊C4×Dic47C2211yescharacteristic, complemented
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×(C2×D47)⋊C4C2211yescharacteristic
165C4×(C2×D47)⋊C4C2211yescharacteristic
166C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
167C4×C22⋊Dic47C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688970C2211yescharacteristic
170#15688970C2211yescharacteristic, complemented
171#95×D47C2211yescharacteristic
172#95×D47C2211yescharacteristic
173C2×#123×C47C2211yescharacteristic
174C47×#390C2211yescharacteristic
175C47×#389C2211yescharacteristic, complemented
176C47×#388C2211yescharacteristic
177C47×#388C2211yescharacteristic
178C47×#388C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#387C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic
183C47×#385C2211yescharacteristic, complemented
184C47×#380C2211yescharacteristic
185C4×C4⋊C4×C47C2211yescharacteristic, complemented
186C4×C22⋊C4×C47C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C2×#10625352—42no—
190C2×#10625352—42no—
191C2×#10625352C2×C418yescomplemented
192C22×Dic94C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C22×C4×D47—42no—
203C22×C4×D47—42no—
204C22×C4×D47C2×C418yescomplemented
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216#13094007C2×C418yescomplemented
217#13094002C2×C418yescomplemented
218#13094002C2×C418yescomplemented
219#13093997C2×C418yes—
220#13093997C2×C418yescomplemented
221#13093994C2×C418yescomplemented
222#13093992C2×C418yescomplemented
223C4×D188—42no—
224#13093986—42no—
225#13093986C2×C418yescomplemented
226#13093986C2×C418yescomplemented
227C4×C22⋊D47—42no—
228(C22⋊D47)⋊C4—42no—
229(C22⋊D47)⋊C4C2×C418yescomplemented
230(C22⋊D47)⋊C4C2×C418yescomplemented
231#13093981—42no—
232#13093981—42no—
233#13093981—42no—
234#13093980—42no—
235#13093980C2×C418yescomplemented
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×Dic47⋊C4—42no—
242C2×Dic47⋊C4C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C4⋊C4×D47—42no—
261C4⋊C4×D47—42no—
262C4⋊C4×D47—42no—
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
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
295C22⋊C4×D47—42no—
296C22⋊C4×D47—42no—
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
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
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C22×D4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343#123×C47C2×C418yescomplemented
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C4⋊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×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363C2×C42×C47C2311yescharacteristic
364C2×C42×C47C2311yescharacteristic
365C2×C42×C47C2311yescharacteristic
366#95×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
375#95×C47C2311yescharacteristic
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47C22×C414yes—
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C2×D4×C47—41no—
389C2×D4×C47—41no—
390C2×D4×C47C22×C414yes—
391C22×C4×C47—41no—
392C22×C4×C47—41no—
393C22×C4×C47—41no—
394C22×C4×C47—41no—
395C22×C4×C47—41no—
396C22×C4×C47C22×C414yes—
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—41no—
413C2×C22⋊D47—41no—
414C2×C22⋊D47—41no—
415C2×C22⋊D47—41no—
416C2×C22⋊D47—41no—
417C2×C22⋊D47—41no—
418C2×C22⋊D47C22×C414yes—
419C2×C22⋊D47C22×C414yes—
420C2×C22⋊D47C22×C414yes—
421C2×C22⋊D47C22×C414yes—
422C22×Dic47—22no—
423C22×Dic47—22no—
424C22×Dic47—22no—
425C22×Dic47—22no—
426C22×Dic47—41no—
427C22×Dic47—41no—
428C22×Dic47—41no—
429C22×Dic47C22×C414yes—
430C22×Dic47C22×C414yes—
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444#10625352—416no—
445C2×D188—22no—
446C2×D188—22no—
447C2×D188—41no—
448C2×D188—41no—
449C2×D188C22×C414yes—
450C2×D188C22×C414yes—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—416no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47C22×C414yes—
481C2×C4×D47C22×C414yes—
482C2×C4×D47C22×C414yes—
483C2×C4×D47C22×C414yes—
484C2×C4×D47C22×C414yes—
485C2×Dic94—41no—
486C2×Dic94—41no—
487C2×Dic94C22×C414yes—
488C4⋊C4×C47—41no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C4⋊C4×C47—41no—
493C4⋊C4×C47C22×C414yes—
494C4⋊C4×C47C22×C414yes—
495C22⋊C4×C47—41no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47—41no—
501C22⋊C4×C47—41no—
502C22⋊C4×C47C22×C414yes—
503C22⋊C4×C47C22×C414yes—
504C22⋊C4×C47C22×C414yes—
505C42×C47—41no—
506C42×C47—41no—
507C42×C47—41no—
508C42×C47—41no—
509C42×C47—41no—
510C22⋊Dic47—41no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47—41no—
515C22⋊Dic47—41no—
516C22⋊Dic47—41no—
517C22⋊Dic47C22×C414yes—
518(C2×D47)⋊C4—22no—
519(C2×D47)⋊C4—22no—
520(C2×D47)⋊C4—22no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—41no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4C22×C414yes—
537(C2×D47)⋊C4C22×C414yes—
538(C2×D47)⋊C4C22×C414yes—
539(C2×D47)⋊C4C22×C414yes—
540(C2×D47)⋊C4C22×C414yes—
541(C2×D47)⋊C4C22×C414yes—
542C4⋊Dic47—41no—
543C4⋊Dic47—41no—
544C4⋊Dic47—41no—
545C4⋊Dic47—41no—
546C4⋊Dic47—41no—
547Dic47⋊C4—22no—
548Dic47⋊C4—22no—
549Dic47⋊C4—22no—
550Dic47⋊C4—22no—
551Dic47⋊C4—22no—
552Dic47⋊C4—22no—
553Dic47⋊C4—22no—
554Dic47⋊C4—22no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4C22×C414yes—
562Dic47⋊C4C22×C414yes—
563Dic47⋊C4C22×C414yes—
564Dic47⋊C4C22×C414yes—
565C4×Dic47—41no—
566C4×Dic47—41no—
567C4×Dic47—41no—
568C4×Dic47—41no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
573C4×Dic47—41no—
574C4×Dic47—41no—
575C4×Dic47—41no—
576C4×Dic47C22×C414yes—
577C4×Dic47C22×C414yes—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47C23×C412yes—
591C23×C47C23×C412yes—
592C23×C47C2511yescharacteristic
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—21no—
600C22×D47—21no—
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—28no—
610C22×D47—44no—
611C22×D47—44no—
612C22×D47—44no—
613C22×D47—44no—
614C22×D47—44no—
615C22×D47—44no—
616C22×D47C23×C412yes—
617C22×D47C23×C412yes—
618C22×D47C23×C412yes—
619C22×D47H(5,𝔽2)12yes—
620C22×D472−1+412yes—
621D4×C47—44no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—44no—
657C2×C4×C47—82no—
658C2×C4×C47C23×C412yes—
659C2×C4×C47C23×C412yes—
660C2×C4×C47C23×C412yes—
661C2×C4×C47C23×C412yes—
662C2×C4×C47C23×C412yes—
663C22⋊D47—28no—
664C22⋊D47—44no—
665C22⋊D47—44no—
666C22⋊D47—44no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—28no—
676C2×Dic47—28no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—82no—
702C2×Dic47C23×C412yes—
703C2×Dic47C23×C412yes—
704C2×Dic47C23×C412yes—
705C2×Dic47C23×C412yes—
706C2×Dic47C23×C412yes—
707C2×Dic47H(5,𝔽2)12yes—
708C2×Dic47H(5,𝔽2)12yes—
709D188—28no—
710D188—44no—
711C4×D47—28no—
712C4×D47—28no—
713C4×D47—28no—
714C4×D47—44no—
715C4×D47—44no—
716C4×D47—82no—
717C4×D47—82no—
718C4×D47—82no—
719C4×D47—82no—
720C4×D47—82no—
721C4×D47—82no—
722Dic94—44no—
723#34362—471nomaximal, Sylow
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47C24×C411yescharacteristic
739C22×C47C2×H(5,𝔽2)11yescharacteristic
740C22×C47C2×H(5,𝔽2)11yescharacteristic
741C22×C47C2×H(5,𝔽2)11yescharacteristic
742C22×C47C2×2−1+411yescharacteristic
743C22×C47#58511yescharacteristic
744C22×C47#58511yescharacteristic
745C2×D47—22no—
746C2×D47—22no—
747C2×D47—22no—
748C2×D47—22no—
749C2×D47—22no—
750C2×D47—22no—
751C2×D47—22no—
752C2×D47—22no—
753C2×D47—22no—
754C2×D47—22no—
755C2×D47—22no—
756C2×D47—22no—
757C2×D47—416no—
758C2×D47—41no—
759C2×D47—41no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47#52014yes—
767C4×C47—22no—
768C4×C47—22no—
769C4×C47—22no—
770C4×C47—22no—
771C4×C47—22no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780Dic47—22no—
781Dic47—22no—
782Dic47—22no—
783Dic47—22no—
784Dic47—41no—
785Dic47—41no—
786Dic47—41no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47#51814yes—
793C2×#525—471no—
794#2378—471no—
795#2378—471no—
796#2377—471no—
797#2377—471no—
798#2368—471no—
799#2368—471no—
800#2364—471no—
801#2364—471no—
802#2354—471no—
803#2354—471no—
804#2352—471no—
805#2352—471no—
806#2352—471no—
807#2352—471no—
808D4×C4⋊C4—471no—
809D4×C4⋊C4—471no—
810#2335—471no—
811#2335—471no—
812#2335—471no—
813#2335D4711yescharacteristic, complemented
814#2321—471no—
815#2321—471no—
816#2321—471no—
817#2321—471no—
818#2314—471no—
819#2314—471no—
820#2311—471no—
821#2311—471no—
822#2280—471no—
823C2×#380—471no—
824C2×C47—42no—
825C2×C47—42no—
826C2×C47C2×#51811yescharacteristic
827C2×C47C2×#52011yescharacteristic
828C2×C47#342811yescharacteristic
829C2×C47#354111yescharacteristic
830C2×C47#354111yescharacteristic
831C2×C47#354211yescharacteristic
832C2×C47#354211yescharacteristic
833D47—24no—
834D47—42no—
835D47—42no—
836C22×#41—471no—
837C24×C4—471no—
838#525—4716no—
839C2×#123—471no—
840C2×#123C2×D4711yescharacteristic
841C2×C22⋊Q8—471no—
842C2×C22⋊Q8—471no—
843C2×#121—471no—
844C2×#121—471no—
845C2×#120—471no—
846C2×#120—471no—
847C2×C4×D4—471no—
848C2×C4×D4—471no—
849C2×C4×D4—471no—
850C2×C4×D4—471no—
851C2×C4×D4—471no—
852C2×C4×D4—471no—
853C2×C4×D4—471no—
854C2×C4×D4—471no—
855C2×#117—471no—
856C2×#117—471no—
857C2×#117—471no—
858C2×#117—471no—
859C2×#117—471no—
860C22×C4⋊C4—471no—
861C22×C4⋊C4—471no—
862C22×C4⋊C4—471no—
863C22×C4⋊C4—471no—
864C22×C22⋊C4—471no—
865C22×C22⋊C4—471no—
866#391—471no—
867#391—471no—
868#391—471no—
869#391—471no—
870#390—471no—
871#390—471no—
872#390—471no—
873#390—471no—
874#390—471no—
875#390—471no—
876#390—471no—
877#390C2×D4711yescharacteristic
878#389—471no—
879#389—471no—
880#389—471no—
881#389C2×D4711yescharacteristic, complemented
882#388—471no—
883#388—471no—
884#388—471no—
885#388—471no—
886#388—471no—
887#388—471no—
888#388—471no—
889#388—471no—
890#388—471no—
891#388—471no—
892#388—471no—
893#388—471no—
894#388—471no—
895#388—471no—
896#388—471no—
897#388—471no—
898#388—471no—
899#388—471no—
900#388—471no—
901#388—471no—
902#388C2×D4711yescharacteristic
903#388C2×D4711yescharacteristic
904#388C2×D4711yescharacteristic, complemented
905#388C2×D4711yescharacteristic, complemented
906#387—471no—
907#387—471no—
908#387—471no—
909#387—471no—
910#387—471no—
911#387—471no—
912#387—471no—
913#387—471no—
914#387—471no—
915#387—471no—
916#387—471no—
917#387—471no—
918#387—471no—
919#387—471no—
920#387C2×D4711yescharacteristic, complemented
921#387C2×D4711yescharacteristic, complemented
922#386—471no—
923#386—471no—
924#386—471no—
925#386—471no—
926#386—471no—
927#386—471no—
928#386—471no—
929#386—471no—
930#386—471no—
931#386—471no—
932#386—471no—
933#386—471no—
934#386—471no—
935#386—471no—
936#386—471no—
937#386C2×D4711yescharacteristic
938#385—471no—
939#385—471no—
940#385—471no—
941#385—471no—
942#385—471no—
943#385—471no—
944#385—471no—
945#385C2×D4711yescharacteristic, complemented
946#384—471no—
947#384—471no—
948#382—471no—
949#382—471no—
950#381—471no—
951#381—471no—
952#380—471no—
953#380—471no—
954#380—471no—
955#380—471no—
956#380—471no—
957#380—471no—
958#380—471no—
959#380—471no—
960#380—471no—
961#380—471no—
962#380—471no—
963#380—471no—
964#380—471no—
965#380—471no—
966#380—471no—
967#380C2×D4711yescharacteristic
968#379—471no—
969#379—471no—
970C4×C4⋊C4—471no—
971C4×C4⋊C4—471no—
972C4×C4⋊C4—471no—
973C4×C4⋊C4—471no—
974C4×C4⋊C4—471no—
975C4×C4⋊C4—471no—
976C4×C4⋊C4—471no—
977C4×C4⋊C4C2×D4711yescharacteristic, complemented
978C4×C22⋊C4—471no—
979C4×C22⋊C4—471no—
980C4×C22⋊C4—471no—
981C4×C22⋊C4—471no—
982C4×C22⋊C4—471no—
983C4×C22⋊C4—471no—
984C4×C22⋊C4—471no—
985C4×C22⋊C4—471no—
986C4×C22⋊C4—471no—
987C4×C22⋊C4—471no—
988C4×C22⋊C4C2×D4711yescharacteristic
989C4×C22⋊C4C2×D4711yescharacteristic, complemented
990C2×#95—471no—
991C2×#95—471no—
992C47#3436211yescharacteristic, complemented, Sylow
993C25—471no—
994C2×#41—478no—
995C2×#41—1882no—
996C2×#41—1882no—
997C22×Q8—471no—
998C22×D4—471no—
999C22×D4—471no—
1000C22×D4—471no—
1001C22×D4—471no—
1002C22×D4—471no—
1003C22×D4—471no—
1004C22×D4C22×D4711yescharacteristic
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4—471no—
1009C23×C4—471no—
1010C23×C4—478no—
1011C23×C4—471no—
1012C23×C4—471no—
1013C23×C4—471no—
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—471no—
1020C23×C4—1882no—
1021C23×C4—1882no—
1022C23×C4C22×D4711yescharacteristic
1023C23×C4C22×D4711yescharacteristic
1024#123—478no—
1025#123C4×D4718yescomplemented
1026C22⋊Q8—478no—
1027C22⋊Q8—478no—
1028#121—478no—
1029#121—478no—
1030#120—478no—
1031#120—478no—
1032C4×D4—478no—
1033C4×D4—478no—
1034C4×D4—478no—
1035C4×D4—478no—
1036C4×D4—1882no—
1037C4×D4—1882no—
1038C4×D4—1882no—
1039C4×D4—1882no—
1040#117—478no—
1041#117—1882no—
1042#117—1882no—
1043#117—1882no—
1044#117—1882no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
1047C2×C4⋊C4—471no—
1048C2×C4⋊C4—471no—
1049C2×C4⋊C4—471no—
1050C2×C4⋊C4—471no—
1051C2×C4⋊C4—471no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—471no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—1882no—
1069C2×C4⋊C4—1882no—
1070C2×C4⋊C4—1882no—
1071C2×C4⋊C4—1882no—
1072C2×C4⋊C4C22×D4711yescharacteristic
1073C2×C4⋊C4C22×D4711yescharacteristic
1074C2×C4⋊C4C22×D4711yescharacteristic
1075C2×C4⋊C4C22×D4711yescharacteristic
1076C2×C4⋊C4C22×D4711yescharacteristic
1077C2×C4⋊C4C22×D4711yescharacteristic
1078C2×C4⋊C4C22×D4711yescharacteristic
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—1882no—
1112C2×C22⋊C4—1882no—
1113C2×C22⋊C4C22×D4711yescharacteristic
1114C2×C22⋊C4C22×D4711yescharacteristic
1115C2×C22⋊C4C22×D4711yescharacteristic
1116C2×C22⋊C4C22×D4711yescharacteristic
1117C2×C22⋊C4C22×D4711yescharacteristic
1118C2×C22⋊C4C22×D4711yescharacteristic
1119C2×C22⋊C4C22×D4711yescharacteristic
1120C2×C22⋊C4C22×D4711yescharacteristic
1121C2×C22⋊C4C22×D4711yescharacteristic
1122C2×C22⋊C4C22×D4711yescharacteristic
1123C2×C42—471no—
1124C2×C42—471no—
1125C2×C42—471no—
1126C2×C42—471no—
1127C2×C42—471no—
1128C2×C42—471no—
1129C2×C42—471no—
1130C2×C42—471no—
1131C2×C42—471no—
1132C2×C42—471no—
1133C2×C42—471no—
1134C2×C42—471no—
1135C2×C42—471no—
1136C2×C42C22×D4711yescharacteristic
1137C2×C42C22×D4711yescharacteristic
1138C2×C42C22×D4711yescharacteristic
1139C2×C42C22×D4711yescharacteristic
1140C2×C42C22×D4711yescharacteristic
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95C22×D4711yescharacteristic
1172#95C22×D4711yescharacteristic
1173#95C22×D4711yescharacteristic
1174#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180#95C22×D4711yescharacteristic
1181C24—471no—
1182C24—471no—
1183C24—471no—
1184C24—474no—
1185C24—942no—
1186C24—942no—
1187C24—1881no—
1188C24—1881no—
1189C24—1881no—
1190C24—1881no—
1191C24C23×D4711yescharacteristic
1192C24C23×D4711yescharacteristic
1193#41—18816no—
1194C2×Q8—474no—
1195C2×Q8—1881no—
1196C2×Q8—1881no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—474no—
1200C2×D4—474no—
1201C2×D4—474no—
1202C2×D4—474no—
1203C2×D4—474no—
1204C2×D4—474no—
1205C2×D4—942no—
1206C2×D4—942no—
1207C2×D4—942no—
1208C2×D4—942no—
1209C2×D4—1881no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—1881no—
1214C2×D4—1881no—
1215C2×D4—1881no—
1216C2×D4—1881no—
1217C2×D4C2×C4×D4714yes—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—471no—
1224C22×C4—474no—
1225C22×C4—474no—
1226C22×C4—471no—
1227C22×C4—471no—
1228C22×C4—471no—
1229C22×C4—471no—
1230C22×C4—474no—
1231C22×C4—474no—
1232C22×C4—474no—
1233C22×C4—474no—
1234C22×C4—474no—
1235C22×C4—471no—
1236C22×C4—471no—
1237C22×C4—471no—
1238C22×C4—471no—
1239C22×C4—471no—
1240C22×C4—471no—
1241C22×C4—471no—
1242C22×C4—471no—
1243C22×C4—942no—
1244C22×C4—942no—
1245C22×C4—942no—
1246C22×C4—942no—
1247C22×C4—942no—
1248C22×C4—942no—
1249C22×C4—942no—
1250C22×C4—942no—
1251C22×C4—942no—
1252C22×C4—942no—
1253C22×C4—942no—
1254C22×C4—942no—
1255C22×C4—942no—
1256C22×C4—942no—
1257C22×C4—1881no—
1258C22×C4—1881no—
1259C22×C4—1881no—
1260C22×C4—1881no—
1261C22×C4—1881no—
1262C22×C4—1881no—
1263C22×C4—1881no—
1264C22×C4—1881no—
1265C22×C4—1881no—
1266C22×C4—1881no—
1267C22×C4—1881no—
1268C22×C4—1881no—
1269C22×C4—1881no—
1270C22×C4—1881no—
1271C22×C4—1881no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—18816no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4C2×C4×D4714yes—
1280C22×C4C23×D4711yescharacteristic
1281C22×C4C23×D4711yescharacteristic
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4711yescharacteristic
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C22×C4C23×D4711yescharacteristic
1292C22×C4C23×D4711yescharacteristic
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—474no—
1299C4⋊C4—474no—
1300C4⋊C4—474no—
1301C4⋊C4—474no—
1302C4⋊C4—942no—
1303C4⋊C4—942no—
1304C4⋊C4—942no—
1305C4⋊C4—942no—
1306C4⋊C4—942no—
1307C4⋊C4—942no—
1308C4⋊C4—942no—
1309C4⋊C4—942no—
1310C4⋊C4—1881no—
1311C4⋊C4—1881no—
1312C4⋊C4—1881no—
1313C4⋊C4—1881no—
1314C4⋊C4—1881no—
1315C4⋊C4—1881no—
1316C4⋊C4—1881no—
1317C4⋊C4—1881no—
1318C4⋊C4—1881no—
1319C4⋊C4—1881no—
1320C4⋊C4—1881no—
1321C4⋊C4C2×C4×D4714yes—
1322C4⋊C4C2×C4×D4714yes—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—474no—
1331C22⋊C4—474no—
1332C22⋊C4—474no—
1333C22⋊C4—474no—
1334C22⋊C4—474no—
1335C22⋊C4—474no—
1336C22⋊C4—474no—
1337C22⋊C4—942no—
1338C22⋊C4—942no—
1339C22⋊C4—942no—
1340C22⋊C4—942no—
1341C22⋊C4—1881no—
1342C22⋊C4—1881no—
1343C22⋊C4—1881no—
1344C22⋊C4—1881no—
1345C22⋊C4—1881no—
1346C22⋊C4—1881no—
1347C22⋊C4—1881no—
1348C22⋊C4—1881no—
1349C22⋊C4—1881no—
1350C22⋊C4—1881no—
1351C22⋊C4—1881no—
1352C22⋊C4—1881no—
1353C22⋊C4—1881no—
1354C22⋊C4—1881no—
1355C22⋊C4—1881no—
1356C22⋊C4—1881no—
1357C22⋊C4—1881no—
1358C22⋊C4—1881no—
1359C22⋊C4—1881no—
1360C22⋊C4—1881no—
1361C22⋊C4—1881no—
1362C22⋊C4C2×C4×D4714yes—
1363C22⋊C4C2×C4×D4714yes—
1364C22⋊C4C2×C4×D4714yes—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—41no—
1369C42—41no—
1370C42—474no—
1371C42—474no—
1372C42—1881no—
1373C42—1881no—
1374C42—1881no—
1375C42—1881no—
1376C42—1881no—
1377C42—1881no—
1378C42—1881no—
1379C42—1881no—
1380C42—1881no—
1381C42—1881no—
1382C42—1881no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—472no—
1396C23—472no—
1397C23—472no—
1398C23—472no—
1399C23—472no—
1400C23—948no—
1401C23—941no—
1402C23—941no—
1403C23—941no—
1404C23—941no—
1405C23—941no—
1406C23—941no—
1407C23—941no—
1408C23—941no—
1409C23—941no—
1410C23—941no—
1411C23—941no—
1412C23—941no—
1413C23—941no—
1414C23—941no—
1415C23—941no—
1416C23—941no—
1417C23—1884no—
1418C23—1884no—
1419C23—1884no—
1420C23—1884no—
1421C23—1884no—
1422C23—1884no—
1423C23C22×C4×D4712yes—
1424C23C22×C4×D4712yes—
1425C23C24×D4711yescharacteristic
1426Q8—1884no—
1427D4—44no—
1428D4—948no—
1429D4—948no—
1430D4—1884no—
1431D4—1884no—
1432D4—1884no—
1433D4—1884no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—44no—
1469C2×C4—82no—
1470C2×C4—472no—
1471C2×C4—472no—
1472C2×C4—472no—
1473C2×C4—472no—
1474C2×C4—472no—
1475C2×C4—472no—
1476C2×C4—472no—
1477C2×C4—948no—
1478C2×C4—948no—
1479C2×C4—948no—
1480C2×C4—948no—
1481C2×C4—948no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—3762no—
1515C2×C4—3762no—
1516C2×C4—3762no—
1517C2×C4—3762no—
1518C2×C4—3762no—
1519C2×C4—3762no—
1520C2×C4—3762no—
1521C2×C4—1884no—
1522C2×C4—1884no—
1523C2×C4C22×C4×D4712yes—
1524C2×C4C22×C4×D4712yes—
1525C2×C4C22×C4×D4712yes—
1526C2×C4C22×C4×D4712yes—
1527C2×C4C22×C4×D4712yes—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—474no—
1543C22—942no—
1544C22—942no—
1545C22—942no—
1546C22—942no—
1547C22—942no—
1548C22—942no—
1549C22—942no—
1550C22—942no—
1551C22—942no—
1552C22—942no—
1553C22—942no—
1554C22—942no—
1555C22—18816no—
1556C22—1881no—
1557C22—1881no—
1558C22—1881no—
1559C22—1881no—
1560C22—1881no—
1561C22—1881no—
1562C22—1881no—
1563C22—1881no—
1564C22C23×C4×D4711yescharacteristic
1565C22H(5,𝔽2)×D4711yescharacteristic
1566C22H(5,𝔽2)×D4711yescharacteristic
1567C22H(5,𝔽2)×D4711yescharacteristic
1568C222−1+4×D4711yescharacteristic
1569C22#1568995911yescharacteristic
1570C22#1568995911yescharacteristic
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—474no—
1585C4—942no—
1586C4—942no—
1587C4—942no—
1588C4—942no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C4—1881no—
1593C4—1881no—
1594C4—1881no—
1595C4—1881no—
1596C4—1881no—
1597C2—42no—
1598C2—42no—
1599C2—944no—
1600C2—1882no—
1601C2—1882no—
1602C2#518×D4711yescharacteristic
1603C2#520×D4711yescharacteristic
1604C2#2025658711yescharacteristic
1605C2#2025767211yescharacteristic
1606C2#2025768011yescharacteristic
1607C2#2025769511yescharacteristic
1608C2#2025770311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2335C2
socle, cosocleC23×C47C25
prime radicalC2×#15689631C2
hypercenter#2335D47
hypocenterC47#34362
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. #20246553C2semidirect
3. #20246550C2semidirect
4. #20246544C2semidirect
5. #20246541C2semidirect
6. #20246472C2semidirect
7. #20246465C2semidirect
8. #20246439C2semidirect
9. #20246432C2semidirect
10. #20246334C2semidirect
11. #20246333C2semidirect
12. #20246316C2semidirect
13. #20246312C2semidirect
14. #20246312C2semidirect
15. #20246311C2semidirect
16. #20246289C2semidirect
17. #20246286C2semidirect
18. #20246182C2semidirect
19. #20246178C2semidirect
20. #20246174C2semidirect
21. #20246050C2semidirect
22. #20246047C2semidirect
23. #20246044C2semidirect
24. #20246041C2semidirect
25. #20245992C2semidirect
26. #20245992C2semidirect
27. #20245978C2semidirect
28. #20245975C2semidirect
29. #20245769C2semidirect
30. #380×D47C2semidirect
31. C47×#2335C2semidirect
34. #15689631C4semidirect
52. C2×#13093981C22semidirect
54. C2×#13093980C22semidirect
55. C22×Dic47⋊C4C22semidirect
58. C2×C4⋊C4×D47C22semidirect
61. #15689029C22semidirect
62. #15689028C22semidirect
63. #15689027C22semidirect
64. #15689027C22semidirect
72. #15689022C22semidirect
73. #15689020C22semidirect
74. #15689018C22semidirect
79. #15689016C22semidirect
80. #15689016C22semidirect
83. #15689015C22semidirect
86. #15689014C22semidirect
89. #15689013C22semidirect
92. #15689012C22semidirect
95. #15689010C22semidirect
96. #15689010C22semidirect
97. #15689010C22semidirect
98. #15689009C22semidirect
99. #15689009C22semidirect
100. #15689007C22semidirect
101. #15689007C22semidirect
102. #15689007C22semidirect
103. #15689005C22semidirect
104. #15689005C22semidirect
105. #15689005C22semidirect
106. #15689004C22semidirect
107. #15689004C22semidirect
108. #15689004C22semidirect
111. #15689002C22semidirect
117. #15689000C22semidirect
122. #15688999C22semidirect
123. #15688999C22semidirect
124. #15688998C22semidirect
127. #15688997C22semidirect
130. #15688994C22semidirect
131. #15688992C22semidirect
132. #15688992C22semidirect
133. #15688987C22semidirect
134. #15688987C22semidirect
142. #15688982C22semidirect
143. #15688982C22semidirect
148. #15688981C22semidirect
149. #15688981C22semidirect
154. C4⋊C4×Dic47C22semidirect
155. C4×Dic47⋊C4C22semidirect
156. C4×Dic47⋊C4C22semidirect
157. C4×Dic47⋊C4C22semidirect
158. #15688974C22semidirect
159. #15688974C22semidirect
160. #15688974C22semidirect
161. C22⋊C4×Dic47C22semidirect
166. C4×(C2×D47)⋊C4C22semidirect
170. #15688970C22semidirect
175. C47×#389C22semidirect
178. C47×#388C22semidirect
179. C47×#388C22semidirect
180. C47×#387C22semidirect
181. C47×#387C22semidirect
183. C47×#385C22semidirect
185. C4×C4⋊C4×C47C22semidirect
187. C4×C22⋊C4×C47C22semidirect
191. C2×#10625352C2×C4semidirect
204. C22×C4×D47C2×C4semidirect
216. #13094007C2×C4semidirect
217. #13094002C2×C4semidirect
218. #13094002C2×C4semidirect
220. #13093997C2×C4semidirect
221. #13093994C2×C4semidirect
222. #13093992C2×C4semidirect
225. #13093986C2×C4semidirect
226. #13093986C2×C4semidirect
229. (C22⋊D47)⋊C4C2×C4semidirect
230. (C22⋊D47)⋊C4C2×C4semidirect
235. #13093980C2×C4semidirect
343. #123×C47C2×C4semidirect
813. #2335D47semidirect
881. #389C2×D47semidirect
904. #388C2×D47semidirect
905. #388C2×D47semidirect
920. #387C2×D47semidirect
921. #387C2×D47semidirect
945. #385C2×D47semidirect
977. C4×C4⋊C4C2×D47semidirect
989. C4×C22⋊C4C2×D47semidirect
992. C47#34362semidirect
1025. #123C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156896312
#202465532
#202465502
#202465442
#202465412
#202464722
#202464652
#202464392
#202464322
#202463342
#202463332
#202463162
#202463122
#202463112
#202462892
#202462862
#202461822
#202461782
#202461742
#202460502
#202460472
#202460442
#202460412
#202459922
#202459782
#202459752
#202457692
#380×D472
C47×#23352
#3436247