Finite Group Databasebeta

← #26379666

Subgroups — #26379666

Order 12032.

2810 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689684C211yesmaximal, characteristic
2#20246543C211yesmaximal, characteristic, complemented
3#20246541C211yesmaximal, characteristic, complemented
4#20246535C211yesmaximal, characteristic, complemented
5#20246528C211yesmaximal, characteristic, complemented
6#20246517C211yesmaximal, characteristic, complemented
7#20246428C211yesmaximal, characteristic, complemented
8#20246427C211yesmaximal, characteristic, complemented
9#20246370C211yesmaximal, characteristic, complemented
10#20246370C211yesmaximal, characteristic, complemented
11#20246368C211yesmaximal, characteristic, complemented
12#20246365C211yesmaximal, characteristic, complemented
13#20246364C211yesmaximal, characteristic, complemented
14#20246235C211yesmaximal, characteristic, complemented
15#20246231C211yesmaximal, characteristic, complemented
16#20246206C211yesmaximal, characteristic, complemented
17D4×(C2×D47)⋊C4C211yesmaximal, characteristic, complemented
18#20246177C211yesmaximal, characteristic, complemented
19#20246172C211yesmaximal, characteristic, complemented
20#20246152C211yesmaximal, characteristic, complemented
21#20246148C211yesmaximal, characteristic, complemented
22#20246082C211yesmaximal, characteristic, complemented
23#20246076C211yesmaximal, characteristic, complemented
24#20246060C211yesmaximal, characteristic, complemented
25#20246054C211yesmaximal, characteristic, complemented
26#20246048C211yesmaximal, characteristic, complemented
27#20246041C211yesmaximal, characteristic, complemented
28#20245965C211yesmaximal, characteristic, complemented
29C4×#13094007C211yesmaximal, characteristic, complemented
30C2×#15689025C211yesmaximal, characteristic, complemented
31C4×#123×C47C211yesmaximal, characteristic, complemented
32C23×D188C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34#15689684C4116yescomplemented
35C2×#13094009C2211yescharacteristic
36C2×#13094009C2211yescharacteristic
37C2×#13094007C2211yescharacteristic
38C2×#13093999C2211yescharacteristic
39C2×#13093999C2211yescharacteristic
40C2×#13093997C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093994C2211yescharacteristic
43C2×#13093994C2211yescharacteristic
44C2×#13093994C2211yescharacteristic
45C2×#13093992C2211yescharacteristic
46C2×C4×D188C2211yescharacteristic, complemented
47C2×D4×Dic47C2211yescharacteristic
48C2×#13093986C2211yescharacteristic, complemented
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×C4×C22⋊D47C2211yescharacteristic, complemented
51C2×(C22⋊D47)⋊C4C2211yescharacteristic
52C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
53C2×#13093982C2211yescharacteristic, complemented
54C2×#13093981C2211yescharacteristic, complemented
55C22×C4⋊Dic47C2211yescharacteristic, complemented
56C22×(C2×D47)⋊C4C2211yescharacteristic
57C22×(C2×D47)⋊C4C2211yescharacteristic
58C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
59C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
60C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
61C2×C22⋊C4×D47C2211yescharacteristic
62C2×C22⋊C4×D47C2211yescharacteristic, complemented
63C2×C22⋊C4×D47C2211yescharacteristic, complemented
64C2×C22⋊C4×D47C2211yescharacteristic, complemented
65#15689025C2211yescharacteristic
66#15689025C2211yescharacteristic
67#15689025C2211yescharacteristic
68#15689025C2211yescharacteristic
69#15689025C2211yescharacteristic, complemented
70#15689025C2211yescharacteristic, complemented
71#15689025C2211yescharacteristic, complemented
72#15689025C2211yescharacteristic, complemented
73#15689025C2211yescharacteristic, complemented
74#15689025C2211yescharacteristic, complemented
75#15689024C2211yescharacteristic, complemented
76#15689024C2211yescharacteristic, complemented
77#15689023C2211yescharacteristic, complemented
78#15689023C2211yescharacteristic, complemented
79#15689023C2211yescharacteristic, complemented
80#15689023C2211yescharacteristic, complemented
81#15689022C2211yescharacteristic, complemented
82#15689022C2211yescharacteristic, complemented
83#15689020C2211yescharacteristic, complemented
84#15689020C2211yescharacteristic, complemented
85#15689016C2211yescharacteristic, complemented
86#15689016C2211yescharacteristic, complemented
87#15689015C2211yescharacteristic, complemented
88#15689015C2211yescharacteristic, complemented
89#15689015C2211yescharacteristic, complemented
90#15689015C2211yescharacteristic, complemented
91#15689015C2211yescharacteristic, complemented
92#15689015C2211yescharacteristic, complemented
93#15689014C2211yescharacteristic, complemented
94#15689014C2211yescharacteristic, complemented
95#15689014C2211yescharacteristic, complemented
96#15689014C2211yescharacteristic, complemented
97#15689014C2211yescharacteristic, complemented
98#15689014C2211yescharacteristic, complemented
99#15689013C2211yescharacteristic, complemented
100#15689013C2211yescharacteristic, complemented
101#15689013C2211yescharacteristic, complemented
102#15689013C2211yescharacteristic, complemented
103#15689012C2211yescharacteristic, complemented
104#15689012C2211yescharacteristic, complemented
105#15689012C2211yescharacteristic, complemented
106#15689012C2211yescharacteristic, complemented
107#15689010C2211yescharacteristic, complemented
108#15689010C2211yescharacteristic, complemented
109#15689009C2211yescharacteristic, complemented
110#15689009C2211yescharacteristic, complemented
111#15689007C2211yescharacteristic, complemented
112#15689007C2211yescharacteristic, complemented
113#15689003C2211yescharacteristic
114#15689002C2211yescharacteristic
115#15689002C2211yescharacteristic, complemented
116#15689002C2211yescharacteristic, complemented
117#15689001C2211yescharacteristic
118#15689001C2211yescharacteristic
119#15689001C2211yescharacteristic
120#15689001C2211yescharacteristic
121#15689001C2211yescharacteristic, complemented
122#15689001C2211yescharacteristic, complemented
123#15689001C2211yescharacteristic, complemented
124#15689001C2211yescharacteristic, complemented
125#15689001C2211yescharacteristic, complemented
126#15689001C2211yescharacteristic, complemented
127#15689001C2211yescharacteristic, complemented
128#15689001C2211yescharacteristic, complemented
129#15689001C2211yescharacteristic, complemented
130#15689001C2211yescharacteristic, complemented
131#15689000C2211yescharacteristic
132#15689000C2211yescharacteristic, complemented
133#15689000C2211yescharacteristic, complemented
134#15688999C2211yescharacteristic, complemented
135#15688999C2211yescharacteristic, complemented
136#15688998C2211yescharacteristic, complemented
137#15688998C2211yescharacteristic, complemented
138#15688998C2211yescharacteristic, complemented
139#15688997C2211yescharacteristic, complemented
140#15688997C2211yescharacteristic, complemented
141#15688997C2211yescharacteristic, complemented
142#15688997C2211yescharacteristic, complemented
143#15688996C2211yescharacteristic, complemented
144#15688995C2211yescharacteristic, complemented
145#15688994C2211yescharacteristic, complemented
146#15688994C2211yescharacteristic, complemented
147#15688986C2211yescharacteristic, complemented
148#15688985C2211yescharacteristic, complemented
149#15688985C2211yescharacteristic, complemented
150#15688982C2211yescharacteristic, complemented
151#15688982C2211yescharacteristic, complemented
152#15688980C2211yescharacteristic, complemented
153#15688980C2211yescharacteristic, complemented
154#15688978C2211yescharacteristic
155#15688978C2211yescharacteristic
156#15688978C2211yescharacteristic, complemented
157#15688978C2211yescharacteristic, complemented
158C4×Dic47⋊C4C2211yescharacteristic, complemented
159C4×Dic47⋊C4C2211yescharacteristic, complemented
160C22⋊C4×Dic47C2211yescharacteristic, complemented
161C22⋊C4×Dic47C2211yescharacteristic, complemented
162C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
167C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
168C4×C22⋊Dic47C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic, complemented
171#15688970C2211yescharacteristic, complemented
172#15688970C2211yescharacteristic, complemented
173C2×#123×C47C2211yescharacteristic
174C2×C4×D4×C47C2211yescharacteristic
175C22×C42×C47C2211yescharacteristic, complemented
176C47×#388C2211yescharacteristic, complemented
177C47×#388C2211yescharacteristic, complemented
178C47×#387C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#386C2211yescharacteristic
181C47×#385C2211yescharacteristic, complemented
182C47×#381C2211yescharacteristic, complemented
183C4×C4⋊C4×C47C2211yescharacteristic, complemented
184C4×C4⋊C4×C47C2211yescharacteristic, complemented
185C4×C22⋊C4×C47C2211yescharacteristic, complemented
186C4×C22⋊C4×C47C2211yescharacteristic, complemented
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C22×D188—42no—
192C22×D188—42no—
193C22×D188C2×C418yescomplemented
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×D188C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C2×D4×D47—42no—
206C2×D4×D47—42no—
207C2×D4×D47C2×C418yescomplemented
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220#13094009C2×C418yescomplemented
221#13094009C2×C418yescomplemented
222#13094007C2×C418yescomplemented
223#13093999C2×C418yescomplemented
224#13093999C2×C418yescomplemented
225#13093997C2×C418yescomplemented
226#13093997C2×C418yescomplemented
227#13093994C2×C418yescomplemented
228#13093994C2×C418yescomplemented
229#13093994C2×C418yescomplemented
230#13093992C2×C418yescomplemented
231C4×D188—42no—
232D4×Dic47—42no—
233#13093986—42no—
234C4×C22⋊D47—42no—
235C4×C22⋊D47—42no—
236(C22⋊D47)⋊C4—42no—
237(C22⋊D47)⋊C4—42no—
238#13093982—42no—
239#13093981—42no—
240C2×C4⋊Dic47—42no—
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×(C2×D47)⋊C4—42no—
263C2×(C2×D47)⋊C4—42no—
264C2×(C2×D47)⋊C4—42no—
265C2×(C2×D47)⋊C4—42no—
266C2×(C2×D47)⋊C4—42no—
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
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C22⋊C4×D47—42no—
310C22⋊C4×D47—42no—
311C22⋊C4×D47—42no—
312C22⋊C4×D47C2×C418yescomplemented
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
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
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C22×D4×C47C2311yescharacteristic
345C23×C4×C47C2311yescharacteristic
346C23×C4×C47C2311yescharacteristic
347C23×C4×C47C2311yescharacteristic
348C23×C4×C47C2311yescharacteristic
349#123×C47C2×C418yescomplemented
350C4×D4×C47—42no—
351C2×C4⋊C4×C47C2311yescharacteristic
352C2×C4⋊C4×C47C2311yescharacteristic
353C2×C4⋊C4×C47C2311yescharacteristic
354C2×C4⋊C4×C47C2311yescharacteristic
355C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C42×C47—42no—
365C2×C42×C47C2311yescharacteristic
366C2×C42×C47C2311yescharacteristic
367C2×C42×C47C2311yescharacteristic
368C2×C42×C47C2311yescharacteristic
369C2×C42×C47C2311yescharacteristic
370C2×C42×C47C2311yescharacteristic
371C2×C42×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376#95×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382C24×C47C2411yescharacteristic
383C24×C47C2411yescharacteristic
384C23×D47—22no—
385C23×D47—22no—
386C23×D47—22no—
387C23×D47—22no—
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—41no—
399C23×D47—41no—
400C23×D47—41no—
401C23×D47—41no—
402C23×D47C22×C414yes—
403C23×D47C22×C414yes—
404C23×D47C22×C414yes—
405C23×D47C2411yescharacteristic
406C23×D47C2411yescharacteristic
407C23×D47C2411yescharacteristic
408C23×D47C2411yescharacteristic
409C23×D47C2411yescharacteristic
410C2×D4×C47—22no—
411C2×D4×C47—22no—
412C2×D4×C47C22×C414yes—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—22no—
417C22×C4×C47—22no—
418C22×C4×C47—22no—
419C22×C4×C47—22no—
420C22×C4×C47—41no—
421C22×C4×C47—41no—
422C22×C4×C47—41no—
423C22×C4×C47—41no—
424C22×C4×C47C22×C414yes—
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
437C22×C4×C47C2411yescharacteristic
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—41no—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47C22×C414yes—
447C2×C22⋊D47C22×C414yes—
448C2×C22⋊D47C22×C414yes—
449C2×C22⋊D47C22×C414yes—
450C22×Dic47—22no—
451C22×Dic47—22no—
452C22×Dic47—41no—
453C22×Dic47—41no—
454C22×Dic47—41no—
455C22×Dic47—41no—
456C22×Dic47—41no—
457C22×Dic47—41no—
458C22×Dic47—41no—
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470D4×D47—416no—
471C2×D188—41no—
472C2×D188—41no—
473C2×D188—41no—
474C2×D188—41no—
475C2×D188—416no—
476C2×D188—41no—
477C2×D188—41no—
478C2×D188—41no—
479C2×D188—41no—
480C2×D188—41no—
481C2×D188—41no—
482C2×D188—41no—
483C2×D188—41no—
484C2×D188—41no—
485C2×D188—41no—
486C2×D188C22×C414yes—
487C2×D188C22×C414yes—
488C2×D188C22×C414yes—
489C2×D188C22×C414yes—
490C2×D188C22×C414yes—
491C2×D188C22×C414yes—
492C2×D188C22×C414yes—
493C2×C4×D47—22no—
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—41no—
504C2×C4×D47—41no—
505C2×C4×D47—41no—
506C2×C4×D47—41no—
507C2×C4×D47—41no—
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—
516C2×C4×D47—41no—
517C2×C4×D47C22×C414yes—
518C2×C4×D47C22×C414yes—
519C2×C4×D47C22×C414yes—
520C4⋊C4×C47—22no—
521C4⋊C4×C47—41no—
522C4⋊C4×C47—41no—
523C4⋊C4×C47C22×C414yes—
524C4⋊C4×C47C22×C414yes—
525C22⋊C4×C47—22no—
526C22⋊C4×C47—22no—
527C22⋊C4×C47—22no—
528C22⋊C4×C47—41no—
529C22⋊C4×C47—41no—
530C22⋊C4×C47C22×C414yes—
531C22⋊C4×C47C22×C414yes—
532C22⋊C4×C47C22×C414yes—
533C42×C47—22no—
534C42×C47—41no—
535C42×C47—41no—
536C42×C47—41no—
537C42×C47—41no—
538C42×C47—41no—
539C42×C47—41no—
540C22⋊Dic47—22no—
541C22⋊Dic47—22no—
542C22⋊Dic47—41no—
543C22⋊Dic47—41no—
544C22⋊Dic47—41no—
545C22⋊Dic47C22×C414yes—
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—22no—
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)⋊C4C22×C414yes—
581(C2×D47)⋊C4C22×C414yes—
582(C2×D47)⋊C4C22×C414yes—
583(C2×D47)⋊C4C22×C414yes—
584(C2×D47)⋊C4C22×C414yes—
585(C2×D47)⋊C4C22×C414yes—
586(C2×D47)⋊C4C22×C414yes—
587(C2×D47)⋊C4C22×C414yes—
588C4⋊Dic47—41no—
589C4⋊Dic47—41no—
590C4⋊Dic47—41no—
591C4⋊Dic47—41no—
592C4⋊Dic47—41no—
593C4⋊Dic47—41no—
594C4⋊Dic47—41no—
595Dic47⋊C4—22no—
596Dic47⋊C4—41no—
597Dic47⋊C4—41no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601Dic47⋊C4C22×C414yes—
602Dic47⋊C4C22×C414yes—
603C4×Dic47—22no—
604C4×Dic47—41no—
605C4×Dic47—41no—
606C4×Dic47—41no—
607C4×Dic47—41no—
608C4×Dic47—41no—
609C4×Dic47—41no—
610C4×Dic47—41no—
611C4×Dic47—41no—
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×C47C23×C412yes—
623C23×C47C23×C412yes—
624C23×C47H(5,𝔽2)12yes—
625C23×C47H(5,𝔽2)12yes—
626C23×C47C2511yescharacteristic
627C22×D47—21no—
628C22×D47—21no—
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—21no—
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—28no—
658C22×D47—28no—
659C22×D47—44no—
660C22×D47—44no—
661C22×D47—44no—
662C22×D47—44no—
663C22×D47—44no—
664C22×D47—44no—
665C22×D47—44no—
666C22×D47—82no—
667C22×D47—82no—
668C22×D47—82no—
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×D47C23×C412yes—
679C22×D47C23×C412yes—
680C22×D47C23×C412yes—
681C22×D47C23×C412yes—
682C22×D47C23×C412yes—
683D4×C47—28no—
684C2×C4×C47—28no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
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—44no—
718C2×C4×C47—44no—
719C2×C4×C47—82no—
720C2×C4×C47C23×C412yes—
721C2×C4×C47C23×C412yes—
722C2×C4×C47C23×C412yes—
723C2×C4×C47C23×C412yes—
724C2×C4×C47C23×C412yes—
725C2×C4×C47H(5,𝔽2)12yes—
726C2×C4×C47H(5,𝔽2)12yes—
727C22⋊D47—28no—
728C22⋊D47—44no—
729C22⋊D47—44no—
730C22⋊D47—44no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
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—82no—
762C2×Dic47—82no—
763C2×Dic47—82no—
764C2×Dic47C23×C412yes—
765C2×Dic47C23×C412yes—
766C2×Dic47C23×C412yes—
767D188—44no—
768D188—44no—
769D188—44no—
770D188—44no—
771D188—44no—
772D188—44no—
773D188—44no—
774C4×D47—44no—
775C4×D47—44no—
776C4×D47—44no—
777C4×D47—82no—
778C4×D47—82no—
779C4×D47—82no—
780C4×D47—82no—
781C4×D47—82no—
782C4×D47—82no—
783#34408—471nomaximal, Sylow
784C22×C47—22no—
785C22×C47—22no—
786C22×C47—22no—
787C22×C47—22no—
788C22×C47—22no—
789C22×C47—22no—
790C22×C47—22no—
791C22×C47—22no—
792C22×C47—22no—
793C22×C47—41no—
794C22×C47—41no—
795C22×C47—41no—
796C22×C47—41no—
797C22×C47#51814yes—
798C22×C47C24×C411yescharacteristic
799C22×C47C2×H(5,𝔽2)11yescharacteristic
800C22×C47C2×H(5,𝔽2)11yescharacteristic
801C22×C47C2×H(5,𝔽2)11yescharacteristic
802C22×C47C2×H(5,𝔽2)11yescharacteristic
803C22×C47#58511yescharacteristic
804C22×C47#58511yescharacteristic
805C2×D47—22no—
806C2×D47—22no—
807C2×D47—22no—
808C2×D47—22no—
809C2×D47—22no—
810C2×D47—22no—
811C2×D47—22no—
812C2×D47—22no—
813C2×D47—22no—
814C2×D47—22no—
815C2×D47—22no—
816C2×D47—22no—
817C2×D47—22no—
818C2×D47—22no—
819C2×D47—22no—
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—88no—
841C2×D47—88no—
842C2×D47—88no—
843C4×C47—22no—
844C4×C47—22no—
845C4×C47—22no—
846C4×C47—22no—
847C4×C47—22no—
848C4×C47—22no—
849C4×C47—22no—
850C4×C47—41no—
851C4×C47—41no—
852C4×C47—41no—
853C4×C47—41no—
854C4×C47—41no—
855C4×C47—41no—
856Dic47—22no—
857Dic47—22no—
858Dic47—22no—
859Dic47—41no—
860Dic47—41no—
861Dic47—41no—
862Dic47—41no—
863Dic47—41no—
864Dic47—41no—
865Dic47—41no—
866Dic47—41no—
867C2×#534—471no—
868#2377—471no—
869#2377—471no—
870#2376—471no—
871#2375—471no—
872#2374—471no—
873#2363—471no—
874#2363—471no—
875#2358—471no—
876#2358—471no—
877#2358—471no—
878#2358—471no—
879#2358—471no—
880#2342—471no—
881#2342—471no—
882D4×C22⋊C4—471no—
883D4×C22⋊C4—471no—
884#2335—471no—
885#2335—471no—
886#2333—471no—
887#2333—471no—
888#2324—471no—
889#2324—471no—
890#2322—471no—
891#2322—471no—
892#2321—471no—
893#2321—471no—
894#2308—471no—
895C4×#123—471no—
896C4×#123D4711yescharacteristic, complemented
897C2×#390—471no—
898C2×C47—24no—
899C2×C47—42no—
900C2×C47C2×#51811yescharacteristic
901C2×C47C4×H(5,𝔽2)11yescharacteristic
902C2×C47C4×H(5,𝔽2)11yescharacteristic
903C2×C47#353411yescharacteristic
904C2×C47#353411yescharacteristic
905C2×C47#354311yescharacteristic
906C2×C47#354511yescharacteristic
907D47—42no—
908D47—42no—
909D47—42no—
910D47—42no—
911D47—42no—
912C23×D4—471no—
913C23×D4—471no—
914#534—4716no—
915C2×#123—471no—
916C2×#123—471no—
917C2×#123—471no—
918C2×#123C2×D4711yescharacteristic
919C2×#121—471no—
920C2×#121—471no—
921C2×#121—471no—
922C2×#121—471no—
923C2×#120—471no—
924C2×#120—471no—
925C2×#120—471no—
926C2×#120—471no—
927C2×C4×D4—471no—
928C2×C4×D4—471no—
929C2×C4×D4—471no—
930C2×C4×D4—471no—
931C2×C4×D4—471no—
932C2×C4×D4—471no—
933C2×C4×D4—471no—
934C2×C4×D4C2×D4711yescharacteristic
935C2×#117—471no—
936C2×#117—471no—
937C22×C4⋊C4—471no—
938C22×C22⋊C4—471no—
939C22×C22⋊C4—471no—
940C22×C22⋊C4—471no—
941C22×C22⋊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#390—471no—
949#390—471no—
950#390—471no—
951#390—471no—
952#390—471no—
953#390—471no—
954#390—471no—
955#390—471no—
956#390—471no—
957#390—471no—
958#390—471no—
959#390—471no—
960#390—471no—
961#390—471no—
962#390—471no—
963#390—471no—
964#389—471no—
965#389—471no—
966#389—471no—
967#389—471no—
968#388—471no—
969#388—471no—
970#388—471no—
971#388—471no—
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#388—471no—
981#388—471no—
982#388—471no—
983#388—471no—
984#388—471no—
985#388—471no—
986#388—471no—
987#388—471no—
988#388—471no—
989#388—471no—
990#388C2×D4711yescharacteristic, complemented
991#388C2×D4711yescharacteristic, complemented
992#387—471no—
993#387—471no—
994#387—471no—
995#387—471no—
996#387—471no—
997#387—471no—
998#387C2×D4711yescharacteristic, complemented
999#387C2×D4711yescharacteristic, complemented
1000#386—471no—
1001#386—471no—
1002#386—471no—
1003#386—471no—
1004#386—471no—
1005#386—471no—
1006#386—471no—
1007#386—471no—
1008#386—471no—
1009#386—471no—
1010#386—471no—
1011#386—471no—
1012#386—471no—
1013#386—471no—
1014#386—471no—
1015#386—471no—
1016#386—471no—
1017#386—471no—
1018#386—471no—
1019#386—471no—
1020#386—471no—
1021#386—471no—
1022#386—471no—
1023#386C2×D4711yescharacteristic
1024#385—471no—
1025#385—471no—
1026#385—471no—
1027#385—471no—
1028#385—471no—
1029#385—471no—
1030#385—471no—
1031#385—471no—
1032#385—471no—
1033#385—471no—
1034#385—471no—
1035#385C2×D4711yescharacteristic, complemented
1036#381—471no—
1037#381—471no—
1038#381—471no—
1039#381C2×D4711yescharacteristic, complemented
1040#380—471no—
1041#380—471no—
1042#380—471no—
1043#380—471no—
1044#379—471no—
1045#379—471no—
1046#379—471no—
1047#379—471no—
1048C4×C4⋊C4—471no—
1049C4×C4⋊C4—471no—
1050C4×C4⋊C4C2×D4711yescharacteristic, complemented
1051C4×C4⋊C4C2×D4711yescharacteristic, complemented
1052C4×C22⋊C4—471no—
1053C4×C22⋊C4—471no—
1054C4×C22⋊C4—471no—
1055C4×C22⋊C4—471no—
1056C4×C22⋊C4—471no—
1057C4×C22⋊C4—471no—
1058C4×C22⋊C4—471no—
1059C4×C22⋊C4—471no—
1060C4×C22⋊C4—471no—
1061C4×C22⋊C4—471no—
1062C4×C22⋊C4—471no—
1063C4×C22⋊C4—471no—
1064C4×C22⋊C4—471no—
1065C4×C22⋊C4C2×D4711yescharacteristic, complemented
1066C4×C22⋊C4C2×D4711yescharacteristic, complemented
1067C4×C22⋊C4C2×D4711yescharacteristic, complemented
1068C47#3440811yescharacteristic, complemented, Sylow
1069C25—471no—
1070C25—471no—
1071C25—471no—
1072C22×D4—471no—
1073C22×D4—471no—
1074C22×D4—471no—
1075C22×D4—471no—
1076C22×D4—478no—
1077C22×D4—478no—
1078C22×D4—471no—
1079C22×D4—471no—
1080C22×D4—471no—
1081C22×D4—471no—
1082C22×D4—471no—
1083C22×D4—471no—
1084C22×D4—471no—
1085C22×D4—1882no—
1086C22×D4—1882no—
1087C22×D4—1882no—
1088C22×D4—1882no—
1089C22×D4C22×D4711yescharacteristic
1090C23×C4—471no—
1091C23×C4—471no—
1092C23×C4—471no—
1093C23×C4—471no—
1094C23×C4—471no—
1095C23×C4—471no—
1096C23×C4—471no—
1097C23×C4—471no—
1098C23×C4—471no—
1099C23×C4—471no—
1100C23×C4—471no—
1101C23×C4—471no—
1102C23×C4C22×D4711yescharacteristic
1103C23×C4C22×D4711yescharacteristic
1104C23×C4C22×D4711yescharacteristic
1105C23×C4C22×D4711yescharacteristic
1106#123—478no—
1107#123—478no—
1108#123—478no—
1109#123C4×D4718yescomplemented
1110#121—478no—
1111#121—478no—
1112#121—478no—
1113#121—478no—
1114#120—478no—
1115#120—478no—
1116#120—478no—
1117#120—478no—
1118C4×D4—42no—
1119C4×D4—1882no—
1120C4×D4—1882no—
1121C4×D4—1882no—
1122C4×D4—1882no—
1123C4×D4—1882no—
1124C4×D4—1882no—
1125C4×D4—1882no—
1126#117—1882no—
1127#117—1882no—
1128C2×C4⋊C4—471no—
1129C2×C4⋊C4—471no—
1130C2×C4⋊C4—471no—
1131C2×C4⋊C4—471no—
1132C2×C4⋊C4—471no—
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—1882no—
1144C2×C4⋊C4C22×D4711yescharacteristic
1145C2×C4⋊C4C22×D4711yescharacteristic
1146C2×C4⋊C4C22×D4711yescharacteristic
1147C2×C4⋊C4C22×D4711yescharacteristic
1148C2×C4⋊C4C22×D4711yescharacteristic
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—478no—
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—1882no—
1199C2×C22⋊C4—1882no—
1200C2×C22⋊C4—1882no—
1201C2×C22⋊C4—1882no—
1202C2×C22⋊C4—1882no—
1203C2×C22⋊C4—1882no—
1204C2×C22⋊C4—1882no—
1205C2×C22⋊C4—1882no—
1206C2×C22⋊C4C22×D4711yescharacteristic
1207C2×C22⋊C4C22×D4711yescharacteristic
1208C2×C22⋊C4C22×D4711yescharacteristic
1209C2×C22⋊C4C22×D4711yescharacteristic
1210C2×C22⋊C4C22×D4711yescharacteristic
1211C2×C22⋊C4C22×D4711yescharacteristic
1212C2×C22⋊C4C22×D4711yescharacteristic
1213C2×C22⋊C4C22×D4711yescharacteristic
1214C2×C42—42no—
1215C2×C42—471no—
1216C2×C42—471no—
1217C2×C42—471no—
1218C2×C42—471no—
1219C2×C42—471no—
1220C2×C42—471no—
1221C2×C42—471no—
1222C2×C42—471no—
1223C2×C42—471no—
1224C2×C42C22×D4711yescharacteristic
1225C2×C42C22×D4711yescharacteristic
1226C2×C42C22×D4711yescharacteristic
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#95C22×D4711yescharacteristic
1254#95C22×D4711yescharacteristic
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—471no—
1266C24—471no—
1267C24—471no—
1268C24—474no—
1269C24—474no—
1270C24—474no—
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
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—474no—
1294C2×D4—474no—
1295C2×D4—474no—
1296C2×D4—474no—
1297C2×D4—474no—
1298C2×D4—474no—
1299C2×D4—474no—
1300C2×D4—474no—
1301C2×D4—474no—
1302C2×D4—474no—
1303C2×D4—474no—
1304C2×D4—942no—
1305C2×D4—942no—
1306C2×D4—1881no—
1307C2×D4—1881no—
1308C2×D4—1881no—
1309C2×D4—1881no—
1310C2×D4—18816no—
1311C2×D4—1881no—
1312C2×D4—1881no—
1313C2×D4—1881no—
1314C2×D4—1881no—
1315C2×D4—1881no—
1316C2×D4—1881no—
1317C2×D4—1881no—
1318C2×D4—1881no—
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—18816no—
1328C2×D4C2×C4×D4714yes—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—471no—
1341C22×C4—471no—
1342C22×C4—471no—
1343C22×C4—474no—
1344C22×C4—474no—
1345C22×C4—474no—
1346C22×C4—471no—
1347C22×C4—471no—
1348C22×C4—471no—
1349C22×C4—471no—
1350C22×C4—471no—
1351C22×C4—471no—
1352C22×C4—471no—
1353C22×C4—471no—
1354C22×C4—942no—
1355C22×C4—942no—
1356C22×C4—942no—
1357C22×C4—1881no—
1358C22×C4—1881no—
1359C22×C4—1881no—
1360C22×C4—1881no—
1361C22×C4—1881no—
1362C22×C4—1881no—
1363C22×C4—1881no—
1364C22×C4—1881no—
1365C22×C4—1881no—
1366C22×C4—1881no—
1367C22×C4—1881no—
1368C22×C4—1881no—
1369C22×C4—1881no—
1370C22×C4—1881no—
1371C22×C4—1881no—
1372C22×C4—1881no—
1373C22×C4—1881no—
1374C22×C4—1881no—
1375C22×C4—1881no—
1376C22×C4—1881no—
1377C22×C4—1881no—
1378C22×C4—1881no—
1379C22×C4—1881no—
1380C22×C4—1881no—
1381C22×C4—1881no—
1382C22×C4—1881no—
1383C22×C4—1881no—
1384C22×C4—1881no—
1385C22×C4—1881no—
1386C22×C4—1881no—
1387C22×C4C2×C4×D4714yes—
1388C22×C4C23×D4711yescharacteristic
1389C22×C4C23×D4711yescharacteristic
1390C22×C4C23×D4711yescharacteristic
1391C22×C4C23×D4711yescharacteristic
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
1401C4⋊C4—22no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—474no—
1405C4⋊C4—474no—
1406C4⋊C4—942no—
1407C4⋊C4—1881no—
1408C4⋊C4—1881no—
1409C4⋊C4—1881no—
1410C4⋊C4—1881no—
1411C4⋊C4—1881no—
1412C4⋊C4—1881no—
1413C4⋊C4—1881no—
1414C4⋊C4—1881no—
1415C4⋊C4—1881no—
1416C4⋊C4—1881no—
1417C4⋊C4—1881no—
1418C4⋊C4—1881no—
1419C4⋊C4C2×C4×D4714yes—
1420C4⋊C4C2×C4×D4714yes—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—474no—
1427C22⋊C4—474no—
1428C22⋊C4—474no—
1429C22⋊C4—474no—
1430C22⋊C4—474no—
1431C22⋊C4—474no—
1432C22⋊C4—474no—
1433C22⋊C4—474no—
1434C22⋊C4—474no—
1435C22⋊C4—942no—
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—1881no—
1447C22⋊C4—1881no—
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⋊C4C2×C4×D4714yes—
1475C22⋊C4C2×C4×D4714yes—
1476C22⋊C4C2×C4×D4714yes—
1477C42—22no—
1478C42—41no—
1479C42—41no—
1480C42—41no—
1481C42—41no—
1482C42—41no—
1483C42—41no—
1484C42—942no—
1485C42—1881no—
1486C42—1881no—
1487C42—1881no—
1488C42—1881no—
1489C42—1881no—
1490C42—1881no—
1491C42—1881no—
1492C42—1881no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—472no—
1504C23—472no—
1505C23—472no—
1506C23—472no—
1507C23—472no—
1508C23—948no—
1509C23—948no—
1510C23—941no—
1511C23—941no—
1512C23—941no—
1513C23—941no—
1514C23—941no—
1515C23—941no—
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—3762no—
1541C23—3762no—
1542C23—3762no—
1543C23—3762no—
1544C23—3762no—
1545C23—3762no—
1546C23—3762no—
1547C23—3762no—
1548C23—3762no—
1549C23—3762no—
1550C23—3762no—
1551C23—3762no—
1552C23—1884no—
1553C23—1884no—
1554C23—1884no—
1555C23—1884no—
1556C23—1884no—
1557C23—1884no—
1558C23—1884no—
1559C23C22×C4×D4712yes—
1560C23C22×C4×D4712yes—
1561C23#1309406912yes—
1562C23#1309407012yes—
1563C23C24×D4711yescharacteristic
1564D4—28no—
1565D4—948no—
1566D4—1884no—
1567D4—1884no—
1568D4—1884no—
1569D4—1884no—
1570D4—1884no—
1571D4—1884no—
1572D4—1884no—
1573D4—1884no—
1574D4—1884no—
1575D4—1884no—
1576C2×C4—28no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
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—44no—
1610C2×C4—44no—
1611C2×C4—82no—
1612C2×C4—472no—
1613C2×C4—472no—
1614C2×C4—472no—
1615C2×C4—941no—
1616C2×C4—941no—
1617C2×C4—941no—
1618C2×C4—941no—
1619C2×C4—941no—
1620C2×C4—941no—
1621C2×C4—941no—
1622C2×C4—941no—
1623C2×C4—941no—
1624C2×C4—941no—
1625C2×C4—941no—
1626C2×C4—941no—
1627C2×C4—941no—
1628C2×C4—941no—
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—3762no—
1646C2×C4—3762no—
1647C2×C4—3762no—
1648C2×C4—3762no—
1649C2×C4—3762no—
1650C2×C4—3762no—
1651C2×C4—3762no—
1652C2×C4—3762no—
1653C2×C4—3762no—
1654C2×C4—1884no—
1655C2×C4—1884no—
1656C2×C4—1884no—
1657C2×C4C22×C4×D4712yes—
1658C2×C4C22×C4×D4712yes—
1659C2×C4C22×C4×D4712yes—
1660C2×C4C22×C4×D4712yes—
1661C2×C4C22×C4×D4712yes—
1662C2×C4#1309407012yes—
1663C2×C4#1309407012yes—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—942no—
1678C22—942no—
1679C22—942no—
1680C22—942no—
1681C22—942no—
1682C22—942no—
1683C22—942no—
1684C22—942no—
1685C22—942no—
1686C22—942no—
1687C22—942no—
1688C22—942no—
1689C22—942no—
1690C22—942no—
1691C22—942no—
1692C22—3768no—
1693C22—3768no—
1694C22—3768no—
1695C22—1881no—
1696C22—1881no—
1697C22—1881no—
1698C22—1881no—
1699C22—1881no—
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#1568959514yes—
1716C22C23×C4×D4711yescharacteristic
1717C22C2×#1309406911yescharacteristic
1718C22C2×#1309407011yescharacteristic
1719C22C2×#1309407011yescharacteristic
1720C22C2×#1309407011yescharacteristic
1721C22#1568995911yescharacteristic
1722C22#1568995911yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—22no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—942no—
1737C4—942no—
1738C4—942no—
1739C4—1881no—
1740C4—1881no—
1741C4—1881no—
1742C4—1881no—
1743C4—1881no—
1744C4—1881no—
1745C4—1881no—
1746C4—1881no—
1747C2—24no—
1748C2—42no—
1749C2—1882no—
1750C2—1882no—
1751C2—1882no—
1752C2—1882no—
1753C2—1882no—
1754C2C2×#1568959511yescharacteristic
1755C2C4×#1309407011yescharacteristic
1756C2C4×#1309407011yescharacteristic
1757C2#2025757211yescharacteristic
1758C2#2025758211yescharacteristic
1759C2#2025771811yescharacteristic
1760C2#2025774011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC4×#123×C47C2
socle, cosocleC23×C47C25
prime radicalC2×#15689684C2
hypercenterC4×#123D47
hypocenterC47#34408
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
2. #20246543C2semidirect
3. #20246541C2semidirect
4. #20246535C2semidirect
5. #20246528C2semidirect
6. #20246517C2semidirect
7. #20246428C2semidirect
8. #20246427C2semidirect
9. #20246370C2semidirect
10. #20246370C2semidirect
11. #20246368C2semidirect
12. #20246365C2semidirect
13. #20246364C2semidirect
14. #20246235C2semidirect
15. #20246231C2semidirect
16. #20246206C2semidirect
17. D4×(C2×D47)⋊C4C2semidirect
18. #20246177C2semidirect
19. #20246172C2semidirect
20. #20246152C2semidirect
21. #20246148C2semidirect
22. #20246082C2semidirect
23. #20246076C2semidirect
24. #20246060C2semidirect
25. #20246054C2semidirect
26. #20246048C2semidirect
27. #20246041C2semidirect
28. #20245965C2semidirect
29. C4×#13094007C2semidirect
30. C2×#15689025C2semidirect
31. C4×#123×C47C2semidirect
34. #15689684C4semidirect
46. C2×C4×D188C22semidirect
48. C2×#13093986C22semidirect
50. C2×C4×C22⋊D47C22semidirect
52. C2×(C22⋊D47)⋊C4C22semidirect
53. C2×#13093982C22semidirect
54. C2×#13093981C22semidirect
55. C22×C4⋊Dic47C22semidirect
58. C22×(C2×D47)⋊C4C22semidirect
59. C22×(C2×D47)⋊C4C22semidirect
60. C22×(C2×D47)⋊C4C22semidirect
62. C2×C22⋊C4×D47C22semidirect
63. C2×C22⋊C4×D47C22semidirect
64. C2×C22⋊C4×D47C22semidirect
69. #15689025C22semidirect
70. #15689025C22semidirect
71. #15689025C22semidirect
72. #15689025C22semidirect
73. #15689025C22semidirect
74. #15689025C22semidirect
75. #15689024C22semidirect
76. #15689024C22semidirect
77. #15689023C22semidirect
78. #15689023C22semidirect
79. #15689023C22semidirect
80. #15689023C22semidirect
81. #15689022C22semidirect
82. #15689022C22semidirect
83. #15689020C22semidirect
84. #15689020C22semidirect
85. #15689016C22semidirect
86. #15689016C22semidirect
87. #15689015C22semidirect
88. #15689015C22semidirect
89. #15689015C22semidirect
90. #15689015C22semidirect
91. #15689015C22semidirect
92. #15689015C22semidirect
93. #15689014C22semidirect
94. #15689014C22semidirect
95. #15689014C22semidirect
96. #15689014C22semidirect
97. #15689014C22semidirect
98. #15689014C22semidirect
99. #15689013C22semidirect
100. #15689013C22semidirect
101. #15689013C22semidirect
102. #15689013C22semidirect
103. #15689012C22semidirect
104. #15689012C22semidirect
105. #15689012C22semidirect
106. #15689012C22semidirect
107. #15689010C22semidirect
108. #15689010C22semidirect
109. #15689009C22semidirect
110. #15689009C22semidirect
111. #15689007C22semidirect
112. #15689007C22semidirect
115. #15689002C22semidirect
116. #15689002C22semidirect
121. #15689001C22semidirect
122. #15689001C22semidirect
123. #15689001C22semidirect
124. #15689001C22semidirect
125. #15689001C22semidirect
126. #15689001C22semidirect
127. #15689001C22semidirect
128. #15689001C22semidirect
129. #15689001C22semidirect
130. #15689001C22semidirect
132. #15689000C22semidirect
133. #15689000C22semidirect
134. #15688999C22semidirect
135. #15688999C22semidirect
136. #15688998C22semidirect
137. #15688998C22semidirect
138. #15688998C22semidirect
139. #15688997C22semidirect
140. #15688997C22semidirect
141. #15688997C22semidirect
142. #15688997C22semidirect
143. #15688996C22semidirect
144. #15688995C22semidirect
145. #15688994C22semidirect
146. #15688994C22semidirect
147. #15688986C22semidirect
148. #15688985C22semidirect
149. #15688985C22semidirect
150. #15688982C22semidirect
151. #15688982C22semidirect
152. #15688980C22semidirect
153. #15688980C22semidirect
156. #15688978C22semidirect
157. #15688978C22semidirect
158. C4×Dic47⋊C4C22semidirect
159. C4×Dic47⋊C4C22semidirect
160. C22⋊C4×Dic47C22semidirect
161. C22⋊C4×Dic47C22semidirect
162. C4×(C2×D47)⋊C4C22semidirect
163. C4×(C2×D47)⋊C4C22semidirect
164. C4×(C2×D47)⋊C4C22semidirect
165. C4×(C2×D47)⋊C4C22semidirect
166. C4×(C2×D47)⋊C4C22semidirect
167. C4×(C2×D47)⋊C4C22semidirect
168. C4×C22⋊Dic47C22semidirect
169. #15688970C22semidirect
170. #15688970C22semidirect
171. #15688970C22semidirect
172. #15688970C22semidirect
175. C22×C42×C47C22semidirect
176. C47×#388C22semidirect
177. C47×#388C22semidirect
178. C47×#387C22semidirect
179. C47×#387C22semidirect
181. C47×#385C22semidirect
182. C47×#381C22semidirect
183. C4×C4⋊C4×C47C22semidirect
184. C4×C4⋊C4×C47C22semidirect
185. C4×C22⋊C4×C47C22semidirect
186. C4×C22⋊C4×C47C22semidirect
187. C4×C22⋊C4×C47C22semidirect
193. C22×D188C2×C4semidirect
207. C2×D4×D47C2×C4semidirect
220. #13094009C2×C4semidirect
221. #13094009C2×C4semidirect
222. #13094007C2×C4semidirect
223. #13093999C2×C4semidirect
224. #13093999C2×C4semidirect
225. #13093997C2×C4semidirect
226. #13093997C2×C4semidirect
227. #13093994C2×C4semidirect
228. #13093994C2×C4semidirect
229. #13093994C2×C4semidirect
230. #13093992C2×C4semidirect
312. C22⋊C4×D47C2×C4semidirect
349. #123×C47C2×C4semidirect
896. C4×#123D47semidirect
947. C22×C42C2×D47semidirect
990. #388C2×D47semidirect
991. #388C2×D47semidirect
998. #387C2×D47semidirect
999. #387C2×D47semidirect
1035. #385C2×D47semidirect
1039. #381C2×D47semidirect
1050. C4×C4⋊C4C2×D47semidirect
1051. C4×C4⋊C4C2×D47semidirect
1065. C4×C22⋊C4C2×D47semidirect
1066. C4×C22⋊C4C2×D47semidirect
1067. C4×C22⋊C4C2×D47semidirect
1068. C47#34408semidirect
1109. #123C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156896842
#202465432
#202465412
#202465352
#202465282
#202465172
#202464282
#202464272
#202463702
#202463682
#202463652
#202463642
#202462352
#202462312
#202462062
D4×(C2×D47)⋊C42
#202461772
#202461722
#202461522
#202461482
#202460822
#202460762
#202460602
#202460542
#202460482
#202460412
#202459652
C4×#130940072
C2×#156890252
C4×#123×C472
#3440847