Finite Group Databasebeta

← #26379967

Subgroups — #26379967

Order 12032.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689712C211yesmaximal, characteristic
2#20246561C211yesmaximal, characteristic, complemented
3#20246559C211yesmaximal, characteristic, complemented
4#20246535C211yesmaximal, characteristic, complemented
5#20246530C211yesmaximal, characteristic, complemented
6#20246459C211yesmaximal, characteristic, complemented
7#20246454C211yesmaximal, characteristic, complemented
8#20246381C211yesmaximal, characteristic, complemented
9#20246375C211yesmaximal, characteristic, complemented
10#20246370C211yesmaximal, characteristic, complemented
11#20246366C211yesmaximal, characteristic, complemented
12#20246366C211yesmaximal, characteristic, complemented
13#20246364C211yesmaximal, characteristic, complemented
14#20246314C211yesmaximal, characteristic, complemented
15#20246312C211yesmaximal, characteristic, complemented
16#20246299C211yesmaximal, characteristic, complemented
17#20246297C211yesmaximal, characteristic, complemented
18#20246167C211yesmaximal, characteristic, complemented
19#20246166C211yesmaximal, characteristic, complemented
20#20246157C211yesmaximal, characteristic, complemented
21#20246122C211yesmaximal, characteristic, complemented
22#20246092C211yesmaximal, characteristic, complemented
23#20246087C211yesmaximal, characteristic, complemented
24#20246087C211yesmaximal, characteristic, complemented
25#20246080C211yesmaximal, characteristic, complemented
26#20246079C211yesmaximal, characteristic, complemented
27#20245999C211yesmaximal, characteristic, complemented
28#20245922C211yesmaximal, characteristic, complemented
29C4×#13093999C211yesmaximal, characteristic, complemented
30#388×D47C211yesmaximal, characteristic, complemented
31C47×#2334C211yesmaximal, characteristic, complemented
32#15689712C4116yescomplemented
33C2×#13094019C2211yescharacteristic
34C2×#13094012C2211yescharacteristic
35C2×#13094010C2211yescharacteristic
36C2×#13094009C2211yescharacteristic
37C2×#13094006C2211yescharacteristic
38C2×#13094002C2211yescharacteristic
39C2×#13093999C2211yescharacteristic
40C2×#13093999C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093994C2211yescharacteristic
43C2×#13093994C2211yescharacteristic
44C2×#13093989C2211yescharacteristic, complemented
45C2×C4×D188C2211yescharacteristic
46C2×C4×D188C2211yescharacteristic
47C2×C4×D188C2211yescharacteristic
48C2×C4×D188C2211yescharacteristic
49C2×C4×D188C2211yescharacteristic, complemented
50C2×#13093986C2211yescharacteristic
51C2×#13093986C2211yescharacteristic
52C2×#13093986C2211yescharacteristic
53C2×#13093986C2211yescharacteristic
54C2×C4×C22⋊D47C2211yescharacteristic
55C2×(C22⋊D47)⋊C4C2211yescharacteristic
56C2×#13093982C2211yescharacteristic, complemented
57C2×#13093981C2211yescharacteristic, complemented
58C2×C4⋊C4×D47C2211yescharacteristic
59C22×(C2×D47)⋊C4C2211yescharacteristic
60C2×C22⋊C4×D47C2211yescharacteristic
61C2×C22⋊C4×D47C2211yescharacteristic
62C2×C22⋊C4×D47C2211yescharacteristic
63C2×C22⋊C4×D47C2211yescharacteristic
64C2×C42×D47C2211yescharacteristic
65#15689028C2211yescharacteristic, complemented
66#15689027C2211yescharacteristic, complemented
67#15689027C2211yescharacteristic, complemented
68#15689025C2211yescharacteristic
69#15689024C2211yescharacteristic
70#15689024C2211yescharacteristic, complemented
71#15689023C2211yescharacteristic
72#15689023C2211yescharacteristic
73#15689022C2211yescharacteristic, complemented
74#15689022C2211yescharacteristic, complemented
75#15689021C2211yescharacteristic, complemented
76#15689021C2211yescharacteristic, complemented
77#15689020C2211yescharacteristic, complemented
78#15689018C2211yescharacteristic, complemented
79#15689017C2211yescharacteristic
80#15689016C2211yescharacteristic
81#15689016C2211yescharacteristic
82#15689016C2211yescharacteristic
83#15689015C2211yescharacteristic
84#15689015C2211yescharacteristic
85#15689015C2211yescharacteristic, complemented
86#15689015C2211yescharacteristic, complemented
87#15689015C2211yescharacteristic, complemented
88#15689014C2211yescharacteristic
89#15689014C2211yescharacteristic
90#15689014C2211yescharacteristic, complemented
91#15689013C2211yescharacteristic
92#15689013C2211yescharacteristic
93#15689013C2211yescharacteristic, complemented
94#15689012C2211yescharacteristic
95#15689012C2211yescharacteristic
96#15689012C2211yescharacteristic, complemented
97#15689012C2211yescharacteristic, complemented
98#15689012C2211yescharacteristic, complemented
99#15689011C2211yescharacteristic
100#15689010C2211yescharacteristic, complemented
101#15689009C2211yescharacteristic, complemented
102#15689009C2211yescharacteristic, complemented
103#15689009C2211yescharacteristic, complemented
104#15689007C2211yescharacteristic, complemented
105#15689007C2211yescharacteristic, complemented
106#15689006C2211yescharacteristic, complemented
107#15689006C2211yescharacteristic, complemented
108#15689004C2211yescharacteristic, complemented
109#15689002C2211yescharacteristic
110#15689001C2211yescharacteristic
111#15689001C2211yescharacteristic
112#15689001C2211yescharacteristic
113#15689001C2211yescharacteristic
114#15689001C2211yescharacteristic
115#15689001C2211yescharacteristic
116#15689001C2211yescharacteristic
117#15689001C2211yescharacteristic
118#15689001C2211yescharacteristic, complemented
119#15689001C2211yescharacteristic, complemented
120#15689000C2211yescharacteristic
121#15688999C2211yescharacteristic
122#15688999C2211yescharacteristic
123#15688998C2211yescharacteristic
124#15688998C2211yescharacteristic
125#15688997C2211yescharacteristic
126#15688997C2211yescharacteristic
127#15688997C2211yescharacteristic
128#15688997C2211yescharacteristic
129#15688997C2211yescharacteristic
130#15688997C2211yescharacteristic, complemented
131#15688997C2211yescharacteristic, complemented
132#15688996C2211yescharacteristic
133#15688995C2211yescharacteristic
134#15688994C2211yescharacteristic
135#15688994C2211yescharacteristic
136#15688994C2211yescharacteristic
137#15688994C2211yescharacteristic
138#15688994C2211yescharacteristic
139#15688994C2211yescharacteristic, complemented
140#15688994C2211yescharacteristic, complemented
141#15688994C2211yescharacteristic, complemented
142#15688994C2211yescharacteristic, complemented
143#15688989C2211yescharacteristic, complemented
144#15688988C2211yescharacteristic, complemented
145#15688987C2211yescharacteristic, complemented
146#15688982C2211yescharacteristic
147#15688982C2211yescharacteristic
148#15688982C2211yescharacteristic, complemented
149#15688982C2211yescharacteristic, complemented
150#15688980C2211yescharacteristic
151#15688980C2211yescharacteristic
152#15688980C2211yescharacteristic, complemented
153#15688980C2211yescharacteristic, complemented
154C4⋊C4×Dic47C2211yescharacteristic, complemented
155C4×Dic47⋊C4C2211yescharacteristic, complemented
156C4×C4⋊Dic47C2211yescharacteristic, complemented
157#15688974C2211yescharacteristic, complemented
158#15688974C2211yescharacteristic, complemented
159#15688974C2211yescharacteristic, complemented
160C22⋊C4×Dic47C2211yescharacteristic
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic, complemented
173C2×#126×C47C2211yescharacteristic
174C47×#389C2211yescharacteristic, complemented
175C47×#389C2211yescharacteristic, complemented
176C47×#388C2211yescharacteristic
177C47×#388C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#387C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#387C2211yescharacteristic, complemented
182C47×#385C2211yescharacteristic
183C47×#385C2211yescharacteristic
184C47×#382C2211yescharacteristic, complemented
185C4×C4⋊C4×C47C2211yescharacteristic, complemented
186C4×C4⋊C4×C47C2211yescharacteristic, complemented
187C4×C22⋊C4×C47C2211yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212#13094019C2×C418yescomplemented
213#13094012C2×C418yescomplemented
214#13094010C2×C418yescomplemented
215#13094009C2×C418yescomplemented
216#13094006C2×C418yescomplemented
217#13094002C2×C418yescomplemented
218#13093999C2×C418yescomplemented
219#13093999C2×C418yescomplemented
220#13093997C2×C418yescomplemented
221#13093994C2×C418yescomplemented
222#13093994C2×C418yescomplemented
223#13093989—42no—
224C4×D188—42no—
225C4×D188—42no—
226C4×D188—42no—
227C4×D188—42no—
228C4×D188C2×C418yescomplemented
229#13093986—42no—
230#13093986—42no—
231#13093986—42no—
232#13093986C2×C418yescomplemented
233C4×C22⋊D47—42no—
234(C22⋊D47)⋊C4—42no—
235#13093982—42no—
236#13093981—42no—
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
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
257C4⋊C4×D47—42no—
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×(C2×D47)⋊C4—42no—
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
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
295C22⋊C4×D47—42no—
296C22⋊C4×D47—42no—
297C22⋊C4×D47—42no—
298C22⋊C4×D47C2×C418yescomplemented
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
310C2×C4×Dic47C2311yescharacteristic
311C42×D47—42no—
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
340C23×C4×C47C2311yescharacteristic
341#126×C47C2×C418yescomplemented
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
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×C4⋊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×C42×C47C2311yescharacteristic
359C2×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363C2×C42×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376C24×C47C2411yescharacteristic
377C23×D47—22no—
378C23×D47—22no—
379C23×D47—41no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47C22×C414yes—
384C23×D47C2411yescharacteristic
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C22×C4×C47—41no—
389C22×C4×C47—41no—
390C22×C4×C47—41no—
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C2×C22⋊D47—41no—
406C2×C22⋊D47—41no—
407C2×C22⋊D47—41no—
408C2×C22⋊D47—41no—
409C2×C22⋊D47C22×C414yes—
410C2×C22⋊D47C22×C414yes—
411C22×Dic47—41no—
412C22×Dic47—41no—
413C22×Dic47—41no—
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C2×D188—22no—
427C2×D188—22no—
428C2×D188—22no—
429C2×D188—22no—
430C2×D188—41no—
431C2×D188—41no—
432C2×D188—41no—
433C2×D188—41no—
434C2×D188—41no—
435C2×D188—41no—
436C2×D188C22×C414yes—
437C2×D188C22×C414yes—
438C2×D188C22×C414yes—
439C2×D188C22×C414yes—
440C2×D188C22×C414yes—
441C2×C4×D47—22no—
442C2×C4×D47—22no—
443C2×C4×D47—22no—
444C2×C4×D47—22no—
445C2×C4×D47—22no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—41no—
450C2×C4×D47—41no—
451C2×C4×D47—41no—
452C2×C4×D47—41no—
453C2×C4×D47—41no—
454C2×C4×D47—41no—
455C2×C4×D47—41no—
456C2×C4×D47—41no—
457C2×C4×D47—41no—
458C2×C4×D47—41no—
459C2×C4×D47—41no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
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×D47C22×C414yes—
480C2×C4×D47C22×C414yes—
481C2×C4×D47C22×C414yes—
482C2×C4×D47C22×C414yes—
483C2×Dic94—41no—
484C2×Dic94—41no—
485C2×Dic94C22×C414yes—
486C4⋊C4×C47—22no—
487C4⋊C4×C47—41no—
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—
495C4⋊C4×C47C22×C414yes—
496C22⋊C4×C47—22no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47C22×C414yes—
500C22⋊C4×C47C22×C414yes—
501C22⋊C4×C47C22×C414yes—
502C42×C47—22no—
503C42×C47—41no—
504C42×C47—41no—
505C42×C47—41no—
506C42×C47—41no—
507C42×C47C22×C414yes—
508C22⋊Dic47—22no—
509C22⋊Dic47—41no—
510C22⋊Dic47—41no—
511C22⋊Dic47C22×C414yes—
512(C2×D47)⋊C4—22no—
513(C2×D47)⋊C4—22no—
514(C2×D47)⋊C4—22no—
515(C2×D47)⋊C4—22no—
516(C2×D47)⋊C4—22no—
517(C2×D47)⋊C4—22no—
518(C2×D47)⋊C4—22no—
519(C2×D47)⋊C4—22no—
520(C2×D47)⋊C4—41no—
521(C2×D47)⋊C4—41no—
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)⋊C4C22×C414yes—
535(C2×D47)⋊C4C22×C414yes—
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—
542(C2×D47)⋊C4C22×C414yes—
543(C2×D47)⋊C4C22×C414yes—
544C4⋊Dic47—22no—
545C4⋊Dic47—41no—
546C4⋊Dic47—41no—
547C4⋊Dic47—41no—
548C4⋊Dic47—41no—
549C4⋊Dic47—41no—
550C4⋊Dic47—41no—
551C4⋊Dic47C22×C414yes—
552Dic47⋊C4—22no—
553Dic47⋊C4—22no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4—41no—
562Dic47⋊C4C22×C414yes—
563Dic47⋊C4C22×C414yes—
564C4×Dic47—22no—
565C4×Dic47—22no—
566C4×Dic47—22no—
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×Dic47C22×C414yes—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47C23×C412yes—
583C23×C47C2511yescharacteristic
584C22×D47—21no—
585C22×D47—21no—
586C22×D47—21no—
587C22×D47—21no—
588C22×D47—21no—
589C22×D47—21no—
590C22×D47—21no—
591C22×D47—21no—
592C22×D47—21no—
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—28no—
607C22×D47—44no—
608C22×D47—44no—
609C22×D47—82no—
610C22×D47—82no—
611C22×D47—82no—
612C22×D47—82no—
613C22×D47C23×C412yes—
614C22×D47C23×C412yes—
615C22×D47C23×C412yes—
616C22×D47C23×C412yes—
617C22×D47H(5,𝔽2)12yes—
618C22×D472−1+412yes—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
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—82no—
655C2×C4×C47C23×C412yes—
656C2×C4×C47C23×C412yes—
657C2×C4×C47C23×C412yes—
658C2×C4×C47C23×C412yes—
659C2×C4×C47C23×C412yes—
660C2×C4×C47C23×C412yes—
661C2×C4×C47H(5,𝔽2)12yes—
662C22⋊D47—44no—
663C22⋊D47—44no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
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—21no—
676C2×Dic47—21no—
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—82no—
696C2×Dic47C23×C412yes—
697C2×Dic47C23×C412yes—
698C2×Dic47C23×C412yes—
699C2×Dic47C23×C412yes—
700C2×Dic47H(5,𝔽2)12yes—
701D188—28no—
702D188—28no—
703D188—44no—
704D188—44no—
705D188—44no—
706C4×D47—44no—
707C4×D47—44no—
708C4×D47—44no—
709C4×D47—44no—
710C4×D47—44no—
711C4×D47—44no—
712C4×D47—82no—
713C4×D47—82no—
714C4×D47—82no—
715C4×D47—82no—
716C4×D47—82no—
717C4×D47—82no—
718C4×D47—82no—
719C4×D47—82no—
720Dic94—44no—
721#34424—471nomaximal, Sylow
722C22×C47—22no—
723C22×C47—22no—
724C22×C47—22no—
725C22×C47—41no—
726C22×C47—41no—
727C22×C47—41no—
728C22×C47—41no—
729C22×C47C24×C411yescharacteristic
730C22×C47C2×H(5,𝔽2)11yescharacteristic
731C22×C47C2×H(5,𝔽2)11yescharacteristic
732C22×C47C2×H(5,𝔽2)11yescharacteristic
733C22×C47C2×2−1+411yescharacteristic
734C22×C47#58511yescharacteristic
735C22×C47#58511yescharacteristic
736C2×D47—22no—
737C2×D47—22no—
738C2×D47—22no—
739C2×D47—22no—
740C2×D47—22no—
741C2×D47—22no—
742C2×D47—22no—
743C2×D47—22no—
744C2×D47—22no—
745C2×D47—22no—
746C2×D47—22no—
747C2×D47—22no—
748C2×D47—22no—
749C2×D47—22no—
750C2×D47—22no—
751C2×D47—41no—
752C2×D47—41no—
753C2×D47—41no—
754C2×D47—41no—
755C2×D47—41no—
756C2×D47—41no—
757C2×D47—41no—
758C2×D47—41no—
759C2×D47—41no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—88no—
764C2×D47#52014yes—
765C4×C47—22no—
766C4×C47—22no—
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—
779Dic47—22no—
780Dic47—22no—
781Dic47—22no—
782Dic47—22no—
783Dic47—22no—
784Dic47—41no—
785Dic47—41no—
786Dic47—41no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791C2×#538—471no—
792#2379—471no—
793#2379—471no—
794#2376—471no—
795#2376—471no—
796#2367—471no—
797#2367—471no—
798#2359—471no—
799#2359—471no—
800#2358—471no—
801#2358—471no—
802#2358—471no—
803#2358—471no—
804#2352—471no—
805#2352—471no—
806#2349—471no—
807#2349—471no—
808#2334—471no—
809#2334—471no—
810#2334—471no—
811#2334D4711yescharacteristic, complemented
812#2329—471no—
813#2325—471no—
814#2325—471no—
815#2325—471no—
816#2324—471no—
817#2324—471no—
818#2315—471no—
819C4×C22⋊Q8—471no—
820C4×#121—471no—
821C2×#388—471no—
822C2×C47—42no—
823C2×C47C2×#52011yescharacteristic
824C2×C47C4×H(5,𝔽2)11yescharacteristic
825C2×C47C4×H(5,𝔽2)11yescharacteristic
826C2×C47#353411yescharacteristic
827C2×C47#353611yescharacteristic
828C2×C47#355811yescharacteristic
829C2×C47#356411yescharacteristic
830D47—24no—
831D47—42no—
832D47—42no—
833D47—42no—
834#538—4716no—
835C2×#126—471no—
836C2×#126C2×D4711yescharacteristic
837C2×#124—471no—
838C2×#124—471no—
839C2×#123—471no—
840C2×#123—471no—
841C2×C22⋊Q8—471no—
842C2×#121—471no—
843C2×#121—471no—
844C2×#121—471no—
845C2×#120—471no—
846C2×#120—471no—
847C2×C4×Q8—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×C4×D4—471no—
856C2×C4×D4—471no—
857C2×C4×D4—471no—
858C2×C4×D4—471no—
859C2×#117—471no—
860C2×#117—471no—
861C22×C4⋊C4—471no—
862C22×C22⋊C4—471no—
863C22×C22⋊C4—471no—
864C22×C22⋊C4—471no—
865C22×C22⋊C4—471no—
866C22×C22⋊C4—471no—
867C22×C42—471no—
868#391—471no—
869#391—471no—
870#391—471no—
871#390—471no—
872#390—471no—
873#390—471no—
874#390—471no—
875#390—471no—
876#389—471no—
877#389—471no—
878#389—471no—
879#389—471no—
880#389—471no—
881#389—471no—
882#389C2×D4711yescharacteristic, complemented
883#389C2×D4711yescharacteristic, complemented
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#388—471no—
903#388—471no—
904#388—471no—
905#388C2×D4711yescharacteristic
906#388C2×D4711yescharacteristic
907#388C2×D4711yescharacteristic
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#387C2×D4711yescharacteristic, complemented
918#387C2×D4711yescharacteristic, complemented
919#387C2×D4711yescharacteristic, complemented
920#386—471no—
921#386—471no—
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#385—471no—
935#385—471no—
936#385—471no—
937#385—471no—
938#385—471no—
939#385—471no—
940#385—471no—
941#385—471no—
942#385—471no—
943#385—471no—
944#385—471no—
945#385—471no—
946#385—471no—
947#385—471no—
948#385—471no—
949#385—471no—
950#385—471no—
951#385—471no—
952#385—471no—
953#385—471no—
954#385C2×D4711yescharacteristic
955#385C2×D4711yescharacteristic
956#382—471no—
957#382—471no—
958#382—471no—
959#382C2×D4711yescharacteristic, complemented
960#380—471no—
961#380—471no—
962#380—471no—
963#380—471no—
964#380—471no—
965#380—471no—
966#380—471no—
967#380—471no—
968C4×C4⋊C4—471no—
969C4×C4⋊C4—471no—
970C4×C4⋊C4—471no—
971C4×C4⋊C4—471no—
972C4×C4⋊C4—471no—
973C4×C4⋊C4—471no—
974C4×C4⋊C4C2×D4711yescharacteristic, complemented
975C4×C4⋊C4C2×D4711yescharacteristic, complemented
976C4×C22⋊C4—471no—
977C4×C22⋊C4—471no—
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⋊C4C2×D4711yescharacteristic
986C2×#95—471no—
987C2×#95—471no—
988C2×#95—471no—
989C2×#95—471no—
990C47#3442411yescharacteristic, complemented, Sylow
991C25—471no—
992C22×Q8—471no—
993C22×D4—471no—
994C22×D4—471no—
995C22×D4—471no—
996C22×D4—471no—
997C22×D4—471no—
998C22×D4—471no—
999C22×D4—471no—
1000C23×C4—471no—
1001C23×C4—471no—
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4—471no—
1009C23×C4—471no—
1010C23×C4—471no—
1011C23×C4—471no—
1012C23×C4—471no—
1013C23×C4—471no—
1014C23×C4—471no—
1015C23×C4C22×D4711yescharacteristic
1016#126—478no—
1017#126C4×D4718yescomplemented
1018#124—478no—
1019#124—478no—
1020#123—478no—
1021#123—478no—
1022C22⋊Q8—478no—
1023#121—478no—
1024#121—478no—
1025#121—478no—
1026#120—478no—
1027#120—478no—
1028C4×Q8—1882no—
1029C4×D4—478no—
1030C4×D4—478no—
1031C4×D4—1882no—
1032C4×D4—1882no—
1033C4×D4—1882no—
1034C4×D4—1882no—
1035C4×D4—1882no—
1036C4×D4—1882no—
1037C4×D4—1882no—
1038C4×D4—1882no—
1039C4×D4—1882no—
1040#117—1882no—
1041#117—1882no—
1042C2×C4⋊C4—471no—
1043C2×C4⋊C4—471no—
1044C2×C4⋊C4—471no—
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—1882no—
1063C2×C4⋊C4C22×D4711yescharacteristic
1064C2×C4⋊C4C22×D4711yescharacteristic
1065C2×C4⋊C4C22×D4711yescharacteristic
1066C2×C4⋊C4C22×D4711yescharacteristic
1067C2×C4⋊C4C22×D4711yescharacteristic
1068C2×C4⋊C4C22×D4711yescharacteristic
1069C2×C4⋊C4C22×D4711yescharacteristic
1070C2×C4⋊C4C22×D4711yescharacteristic
1071C2×C4⋊C4C22×D4711yescharacteristic
1072C2×C4⋊C4C22×D4711yescharacteristic
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—478no—
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—1882no—
1111C2×C22⋊C4—1882no—
1112C2×C22⋊C4—1882no—
1113C2×C22⋊C4—1882no—
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×C42—471no—
1121C2×C42—471no—
1122C2×C42—471no—
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—1882no—
1133C2×C42C22×D4711yescharacteristic
1134C2×C42C22×D4711yescharacteristic
1135C2×C42C22×D4711yescharacteristic
1136C2×C42C22×D4711yescharacteristic
1137C2×C42C22×D4711yescharacteristic
1138C2×C42C22×D4711yescharacteristic
1139#95—471no—
1140#95—471no—
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#95C22×D4711yescharacteristic
1168#95C22×D4711yescharacteristic
1169#95C22×D4711yescharacteristic
1170#95C22×D4711yescharacteristic
1171#95C22×D4711yescharacteristic
1172#95C22×D4711yescharacteristic
1173#95C22×D4711yescharacteristic
1174#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179C24—471no—
1180C24—471no—
1181C24—471no—
1182C24—471no—
1183C24—474no—
1184C24—942no—
1185C24—942no—
1186C24—1881no—
1187C24—1881no—
1188C24—1881no—
1189C24—1881no—
1190C24C23×D4711yescharacteristic
1191C2×Q8—474no—
1192C2×Q8—1881no—
1193C2×Q8—1881no—
1194C2×D4—474no—
1195C2×D4—474no—
1196C2×D4—474no—
1197C2×D4—474no—
1198C2×D4—474no—
1199C2×D4—474no—
1200C2×D4—474no—
1201C2×D4—942no—
1202C2×D4—942no—
1203C2×D4—942no—
1204C2×D4—942no—
1205C2×D4—1881no—
1206C2×D4—1881no—
1207C2×D4—1881no—
1208C2×D4—1881no—
1209C2×D4—1881no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—1881no—
1214C2×D4—1881no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—471no—
1219C22×C4—471no—
1220C22×C4—471no—
1221C22×C4—471no—
1222C22×C4—471no—
1223C22×C4—474no—
1224C22×C4—474no—
1225C22×C4—474no—
1226C22×C4—474no—
1227C22×C4—471no—
1228C22×C4—471no—
1229C22×C4—471no—
1230C22×C4—471no—
1231C22×C4—471no—
1232C22×C4—471no—
1233C22×C4—471no—
1234C22×C4—942no—
1235C22×C4—942no—
1236C22×C4—942no—
1237C22×C4—942no—
1238C22×C4—942no—
1239C22×C4—942no—
1240C22×C4—942no—
1241C22×C4—942no—
1242C22×C4—1881no—
1243C22×C4—1881no—
1244C22×C4—1881no—
1245C22×C4—1881no—
1246C22×C4—1881no—
1247C22×C4—1881no—
1248C22×C4—1881no—
1249C22×C4—1881no—
1250C22×C4—1881no—
1251C22×C4—1881no—
1252C22×C4—1881no—
1253C22×C4—1881no—
1254C22×C4—1881no—
1255C22×C4—1881no—
1256C22×C4—1881no—
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×C4C23×D4711yescharacteristic
1276C22×C4C23×D4711yescharacteristic
1277C22×C4C23×D4711yescharacteristic
1278C22×C4C23×D4711yescharacteristic
1279C22×C4C23×D4711yescharacteristic
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
1289C4⋊C4—22no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—474no—
1297C4⋊C4—474no—
1298C4⋊C4—474no—
1299C4⋊C4—942no—
1300C4⋊C4—942no—
1301C4⋊C4—942no—
1302C4⋊C4—1881no—
1303C4⋊C4—1881no—
1304C4⋊C4—1881no—
1305C4⋊C4—1881no—
1306C4⋊C4—1881no—
1307C4⋊C4—1881no—
1308C4⋊C4—1881no—
1309C4⋊C4—1881no—
1310C4⋊C4—1881no—
1311C4⋊C4—1881no—
1312C4⋊C4—1881no—
1313C4⋊C4—1881no—
1314C4⋊C4—1881no—
1315C4⋊C4—1881no—
1316C4⋊C4C2×C4×D4714yes—
1317C4⋊C4C2×C4×D4714yes—
1318C4⋊C4C2×C4×D4714yes—
1319C22⋊C4—22no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—474no—
1323C22⋊C4—474no—
1324C22⋊C4—474no—
1325C22⋊C4—474no—
1326C22⋊C4—474no—
1327C22⋊C4—474no—
1328C22⋊C4—474no—
1329C22⋊C4—474no—
1330C22⋊C4—474no—
1331C22⋊C4—474no—
1332C22⋊C4—474no—
1333C22⋊C4—942no—
1334C22⋊C4—942no—
1335C22⋊C4—942no—
1336C22⋊C4—942no—
1337C22⋊C4—942no—
1338C22⋊C4—942no—
1339C22⋊C4—942no—
1340C22⋊C4—942no—
1341C22⋊C4—942no—
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⋊C4C2×C4×D4714yes—
1359C22⋊C4C2×C4×D4714yes—
1360C22⋊C4C2×C4×D4714yes—
1361C42—22no—
1362C42—41no—
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—474no—
1367C42—942no—
1368C42—942no—
1369C42—942no—
1370C42—1881no—
1371C42—1881no—
1372C42—1881no—
1373C42—1881no—
1374C42—1881no—
1375C42—1881no—
1376C42—1881no—
1377C42—1881no—
1378C42C2×C4×D4714yes—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—472no—
1386C23—472no—
1387C23—472no—
1388C23—472no—
1389C23—472no—
1390C23—472no—
1391C23—948no—
1392C23—941no—
1393C23—941no—
1394C23—941no—
1395C23—941no—
1396C23—941no—
1397C23—941no—
1398C23—941no—
1399C23—941no—
1400C23—941no—
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—3762no—
1415C23—3762no—
1416C23—3762no—
1417C23—3762no—
1418C23—1884no—
1419C23—1884no—
1420C23C22×C4×D4712yes—
1421C23C24×D4711yescharacteristic
1422Q8—1884no—
1423D4—948no—
1424D4—948no—
1425D4—1884no—
1426D4—1884no—
1427D4—1884no—
1428D4—1884no—
1429D4—1884no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
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—82no—
1466C2×C4—472no—
1467C2×C4—472no—
1468C2×C4—472no—
1469C2×C4—472no—
1470C2×C4—472no—
1471C2×C4—941no—
1472C2×C4—941no—
1473C2×C4—941no—
1474C2×C4—941no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—941no—
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—3762no—
1503C2×C4—3762no—
1504C2×C4—3762no—
1505C2×C4—3762no—
1506C2×C4—3762no—
1507C2×C4—3762no—
1508C2×C4—3762no—
1509C2×C4—3762no—
1510C2×C4—3762no—
1511C2×C4—1884no—
1512C2×C4—1884no—
1513C2×C4—1884no—
1514C2×C4—1884no—
1515C2×C4—1884no—
1516C2×C4—1884no—
1517C2×C4C22×C4×D4712yes—
1518C2×C4C22×C4×D4712yes—
1519C2×C4C22×C4×D4712yes—
1520C2×C4C22×C4×D4712yes—
1521C2×C4C22×C4×D4712yes—
1522C2×C4C22×C4×D4712yes—
1523C2×C4#1309407012yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—474no—
1532C22—942no—
1533C22—942no—
1534C22—942no—
1535C22—942no—
1536C22—942no—
1537C22—942no—
1538C22—942no—
1539C22—942no—
1540C22—942no—
1541C22—942no—
1542C22—942no—
1543C22—942no—
1544C22—942no—
1545C22—942no—
1546C22—942no—
1547C22—3768no—
1548C22—1881no—
1549C22—1881no—
1550C22—1881no—
1551C22—1881no—
1552C22—1881no—
1553C22—1881no—
1554C22—1881no—
1555C22—1881no—
1556C22—1881no—
1557C22—1881no—
1558C22—1881no—
1559C22—1881no—
1560C22C23×C4×D4711yescharacteristic
1561C22H(5,𝔽2)×D4711yescharacteristic
1562C22H(5,𝔽2)×D4711yescharacteristic
1563C22C2×#1309407011yescharacteristic
1564C222−1+4×D4711yescharacteristic
1565C22#1568995911yescharacteristic
1566C22#1568996011yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—942no—
1582C4—942no—
1583C4—942no—
1584C4—942no—
1585C4—942no—
1586C4—1881no—
1587C4—1881no—
1588C4—1881no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C4—1881no—
1593C2—42no—
1594C2—944no—
1595C2—1882no—
1596C2—1882no—
1597C2—1882no—
1598C2#520×D4711yescharacteristic
1599C2#2025659411yescharacteristic
1600C2C4×#1309407011yescharacteristic
1601C2#2025757611yescharacteristic
1602C2#2025761311yescharacteristic
1603C2#2025789911yescharacteristic
1604C2#2025801511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2334C2
socle, cosocleC23×C47C25
prime radicalC2×#15689712C2
hypercenter#2334D47
hypocenterC47#34424
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2334

Complements

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

NH ≅ G/Ntype
2. #20246561C2semidirect
3. #20246559C2semidirect
4. #20246535C2semidirect
5. #20246530C2semidirect
6. #20246459C2semidirect
7. #20246454C2semidirect
8. #20246381C2semidirect
9. #20246375C2semidirect
10. #20246370C2semidirect
11. #20246366C2semidirect
12. #20246366C2semidirect
13. #20246364C2semidirect
14. #20246314C2semidirect
15. #20246312C2semidirect
16. #20246299C2semidirect
17. #20246297C2semidirect
18. #20246167C2semidirect
19. #20246166C2semidirect
20. #20246157C2semidirect
21. #20246122C2semidirect
22. #20246092C2semidirect
23. #20246087C2semidirect
24. #20246087C2semidirect
25. #20246080C2semidirect
26. #20246079C2semidirect
27. #20245999C2semidirect
28. #20245922C2semidirect
29. C4×#13093999C2semidirect
30. #388×D47C2semidirect
31. C47×#2334C2semidirect
32. #15689712C4semidirect
44. C2×#13093989C22semidirect
49. C2×C4×D188C22semidirect
56. C2×#13093982C22semidirect
57. C2×#13093981C22semidirect
65. #15689028C22semidirect
66. #15689027C22semidirect
67. #15689027C22semidirect
70. #15689024C22semidirect
73. #15689022C22semidirect
74. #15689022C22semidirect
75. #15689021C22semidirect
76. #15689021C22semidirect
77. #15689020C22semidirect
78. #15689018C22semidirect
85. #15689015C22semidirect
86. #15689015C22semidirect
87. #15689015C22semidirect
90. #15689014C22semidirect
93. #15689013C22semidirect
96. #15689012C22semidirect
97. #15689012C22semidirect
98. #15689012C22semidirect
100. #15689010C22semidirect
101. #15689009C22semidirect
102. #15689009C22semidirect
103. #15689009C22semidirect
104. #15689007C22semidirect
105. #15689007C22semidirect
106. #15689006C22semidirect
107. #15689006C22semidirect
108. #15689004C22semidirect
118. #15689001C22semidirect
119. #15689001C22semidirect
130. #15688997C22semidirect
131. #15688997C22semidirect
139. #15688994C22semidirect
140. #15688994C22semidirect
141. #15688994C22semidirect
142. #15688994C22semidirect
143. #15688989C22semidirect
144. #15688988C22semidirect
145. #15688987C22semidirect
148. #15688982C22semidirect
149. #15688982C22semidirect
152. #15688980C22semidirect
153. #15688980C22semidirect
154. C4⋊C4×Dic47C22semidirect
155. C4×Dic47⋊C4C22semidirect
156. C4×C4⋊Dic47C22semidirect
157. #15688974C22semidirect
158. #15688974C22semidirect
159. #15688974C22semidirect
164. C4×(C2×D47)⋊C4C22semidirect
165. C4×(C2×D47)⋊C4C22semidirect
171. #95×D47C22semidirect
172. #95×D47C22semidirect
174. C47×#389C22semidirect
175. C47×#389C22semidirect
179. C47×#387C22semidirect
180. C47×#387C22semidirect
181. C47×#387C22semidirect
184. C47×#382C22semidirect
185. C4×C4⋊C4×C47C22semidirect
186. C4×C4⋊C4×C47C22semidirect
212. #13094019C2×C4semidirect
213. #13094012C2×C4semidirect
214. #13094010C2×C4semidirect
215. #13094009C2×C4semidirect
216. #13094006C2×C4semidirect
217. #13094002C2×C4semidirect
218. #13093999C2×C4semidirect
219. #13093999C2×C4semidirect
220. #13093997C2×C4semidirect
221. #13093994C2×C4semidirect
222. #13093994C2×C4semidirect
228. C4×D188C2×C4semidirect
232. #13093986C2×C4semidirect
298. C22⋊C4×D47C2×C4semidirect
341. #126×C47C2×C4semidirect
811. #2334D47semidirect
882. #389C2×D47semidirect
883. #389C2×D47semidirect
917. #387C2×D47semidirect
918. #387C2×D47semidirect
919. #387C2×D47semidirect
959. #382C2×D47semidirect
974. C4×C4⋊C4C2×D47semidirect
975. C4×C4⋊C4C2×D47semidirect
990. C47#34424semidirect
1017. #126C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156897122
#202465612
#202465592
#202465352
#202465302
#202464592
#202464542
#202463812
#202463752
#202463702
#202463662
#202463642
#202463142
#202463122
#202462992
#202462972
#202461672
#202461662
#202461572
#202461222
#202460922
#202460872
#202460802
#202460792
#202459992
#202459222
C4×#130939992
#388×D472
C47×#23342
#3442447