Finite Group Databasebeta

← #26389558

Subgroups — #26389558

Order 12032.

2176 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251757C211yesmaximal, characteristic, complemented
2#20251754C211yesmaximal, characteristic, complemented
3#20251715C211yesmaximal, characteristic, complemented
4#20251686C211yesmaximal, characteristic, complemented
5#20249424C211yesmaximal, characteristic, complemented
6#20249422C211yesmaximal, characteristic, complemented
7#20249375C211yesmaximal, characteristic, complemented
8#20249373C211yesmaximal, characteristic, complemented
9#20248879C211yesmaximal, characteristic, complemented
10#20248450C211yesmaximal, characteristic, complemented
11#20248442C211yesmaximal, characteristic, complemented
12#20247982C211yesmaximal, characteristic, complemented
13#20247739C211yesmaximal, characteristic, complemented
14#20247640C211yesmaximal, characteristic, complemented
15#20247632C211yesmaximal, characteristic, complemented
16#20247183C211yesmaximal, characteristic, complemented
17#20247105C211yesmaximal, characteristic, complemented
18#20247034C211yesmaximal, characteristic, complemented
19#20246953C211yesmaximal, characteristic, complemented
20#20246857C211yesmaximal, characteristic, complemented
21#20246855C211yesmaximal, characteristic, complemented
22#20246834C211yesmaximal, characteristic, complemented
23#20246739C211yesmaximal, characteristic
24#20246041C211yesmaximal, characteristic, complemented
25#20246041C211yesmaximal, characteristic, complemented
26#20245982C211yesmaximal, characteristic, complemented
27#20245982C211yesmaximal, characteristic, complemented
28C4×#13094002C211yesmaximal, characteristic, complemented
29#390×D47C211yesmaximal, characteristic, complemented
30C4×#13093986C211yesmaximal, characteristic, complemented
31C47×#2593C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C2×#13094019C2211yescharacteristic, complemented
34C2×#13094017C2211yescharacteristic, complemented
35C2×#13094014C2211yescharacteristic, complemented
36C2×#13094010C2211yescharacteristic
37C2×#13094010C2211yescharacteristic
38C2×#13094009C2211yescharacteristic, complemented
39C2×#13094006C2211yescharacteristic, complemented
40C2×#13094002C2211yescharacteristic
41C2×#13094002C2211yescharacteristic, complemented
42C2×#13093997C2211yescharacteristic
43C2×#13093997C2211yescharacteristic
44C2×#13093994C2211yescharacteristic
45C2×#13093994C2211yescharacteristic
46C2×C4×Dic94C2211yescharacteristic, complemented
47C2×C4×D188C2211yescharacteristic
48C2×#13093986C2211yescharacteristic
49C2×#13093986C2211yescharacteristic
50C2×C4⋊C4×D47C2211yescharacteristic
51C2×C22⋊C4×D47C2211yescharacteristic
52C2×C22⋊C4×D47C2211yescharacteristic
53C2×C22⋊C4×D47C2211yescharacteristic
54C2×C22⋊C4×D47C2211yescharacteristic
55C2×C42×D47C2211yescharacteristic
56C2×C42×D47C2211yescharacteristic, complemented
57#15689065C2211yescharacteristic, complemented
58#15689060C2211yescharacteristic, complemented
59#15689059C2211yescharacteristic, complemented
60#15689056C2211yescharacteristic, complemented
61#15689056C2211yescharacteristic, complemented
62#15689055C2211yescharacteristic, complemented
63#15689052C2211yescharacteristic, complemented
64#15689052C2211yescharacteristic, complemented
65#15689051C2211yescharacteristic, complemented
66#15689050C2211yescharacteristic, complemented
67#15689050C2211yescharacteristic, complemented
68#15689048C2211yescharacteristic, complemented
69#15689048C2211yescharacteristic, complemented
70#15689048C2211yescharacteristic, complemented
71#15689046C2211yescharacteristic, complemented
72#15689045C2211yescharacteristic, complemented
73#15689045C2211yescharacteristic, complemented
74#15689045C2211yescharacteristic, complemented
75#15689041C2211yescharacteristic
76#15689041C2211yescharacteristic, complemented
77#15689040C2211yescharacteristic
78#15689040C2211yescharacteristic
79#15689040C2211yescharacteristic, complemented
80#15689039C2211yescharacteristic, complemented
81#15689038C2211yescharacteristic, complemented
82#15689037C2211yescharacteristic
83#15689033C2211yescharacteristic
84#15689031C2211yescharacteristic
85#15689027C2211yescharacteristic, complemented
86#15689027C2211yescharacteristic, complemented
87#15689026C2211yescharacteristic
88#15689025C2211yescharacteristic
89#15689025C2211yescharacteristic, complemented
90#15689025C2211yescharacteristic, complemented
91#15689024C2211yescharacteristic
92#15689023C2211yescharacteristic
93#15689023C2211yescharacteristic
94#15689023C2211yescharacteristic
95#15689023C2211yescharacteristic
96#15689023C2211yescharacteristic
97#15689023C2211yescharacteristic
98#15689023C2211yescharacteristic
99#15689023C2211yescharacteristic
100#15689023C2211yescharacteristic, complemented
101#15689023C2211yescharacteristic, complemented
102#15689020C2211yescharacteristic, complemented
103#15689020C2211yescharacteristic, complemented
104#15689020C2211yescharacteristic, complemented
105#15689018C2211yescharacteristic, complemented
106#15689017C2211yescharacteristic, complemented
107#15689017C2211yescharacteristic, complemented
108#15689016C2211yescharacteristic, complemented
109#15689016C2211yescharacteristic, complemented
110#15689016C2211yescharacteristic, complemented
111#15689016C2211yescharacteristic, complemented
112#15689015C2211yescharacteristic, complemented
113#15689015C2211yescharacteristic, complemented
114#15689015C2211yescharacteristic, complemented
115#15689014C2211yescharacteristic, complemented
116#15689014C2211yescharacteristic, complemented
117#15689014C2211yescharacteristic, complemented
118#15689014C2211yescharacteristic, complemented
119#15689014C2211yescharacteristic, complemented
120#15689014C2211yescharacteristic, complemented
121#15689013C2211yescharacteristic, complemented
122#15689013C2211yescharacteristic, complemented
123#15689013C2211yescharacteristic, complemented
124#15689013C2211yescharacteristic, complemented
125#15689012C2211yescharacteristic, complemented
126#15689012C2211yescharacteristic, complemented
127#15689012C2211yescharacteristic, complemented
128#15689012C2211yescharacteristic, complemented
129#15689011C2211yescharacteristic, complemented
130#15689011C2211yescharacteristic, complemented
131#15689011C2211yescharacteristic, complemented
132#15689009C2211yescharacteristic, complemented
133#15689005C2211yescharacteristic, complemented
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689001C2211yescharacteristic, complemented
137#15689001C2211yescharacteristic, complemented
138#15689001C2211yescharacteristic, complemented
139#15688999C2211yescharacteristic, complemented
140#15688999C2211yescharacteristic, complemented
141#15688999C2211yescharacteristic, complemented
142#15688997C2211yescharacteristic
143#15688997C2211yescharacteristic
144#15688997C2211yescharacteristic
145#15688994C2211yescharacteristic
146#15688987C2211yescharacteristic, complemented
147#15688982C2211yescharacteristic
148#15688982C2211yescharacteristic
149#15688982C2211yescharacteristic
150#15688982C2211yescharacteristic, complemented
151#15688980C2211yescharacteristic
152#15688980C2211yescharacteristic
153#15688978C2211yescharacteristic
154#15688978C2211yescharacteristic
155#15688978C2211yescharacteristic
156#15688978C2211yescharacteristic
157#15688978C2211yescharacteristic
158#15688978C2211yescharacteristic
159C4⋊C4×Dic47C2211yescharacteristic, complemented
160C4⋊C4×Dic47C2211yescharacteristic, complemented
161C4×Dic47⋊C4C2211yescharacteristic, complemented
162C4×Dic47⋊C4C2211yescharacteristic, complemented
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×(C2×D47)⋊C4C2211yescharacteristic
165C4×(C2×D47)⋊C4C2211yescharacteristic
166C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688970C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic, complemented
171C42×Dic47C2211yescharacteristic, complemented
172C47×#400C2211yescharacteristic, complemented
173C47×#398C2211yescharacteristic, complemented
174C47×#394C2211yescharacteristic
175C47×#394C2211yescharacteristic
176C47×#390C2211yescharacteristic
177C47×#388C2211yescharacteristic, complemented
178C47×#388C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#388C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#388C2211yescharacteristic, complemented
185C4×C4⋊C4×C47C2211yescharacteristic, complemented
186C4×C4⋊C4×C47C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C2×D4×D47—24no—
199C2×D4×D47—42no—
200C2×D4×D47—42no—
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209#13094019—42no—
210#13094017—42no—
211#13094014—42no—
212#13094010—42no—
213#13094010—42no—
214#13094009—42no—
215#13094006—42no—
216#13094002—24no—
217#13094002—42no—
218#13093997—42no—
219#13093997—42no—
220#13093994—24no—
221#13093994—24no—
222C4×Dic94—42no—
223C4×D188—24no—
224#13093986—24no—
225#13093986—24no—
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C4⋊C4×D47—42no—
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
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
294C22⋊C4×D47—24no—
295C22⋊C4×D47—24no—
296C22⋊C4×D47—42no—
297C22⋊C4×D47—42no—
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
310C42×D47—42no—
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
334C22×D4×C47C2311yescharacteristic
335C2×C4⋊C4×C47C2311yescharacteristic
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C4⋊C4×C47C2311yescharacteristic
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C42×C47C2311yescharacteristic
355C2×C42×C47C2311yescharacteristic
356C2×C42×C47C2311yescharacteristic
357C2×C42×C47C2311yescharacteristic
358C2×C42×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47C2411yescharacteristic
370C24×C47C2411yescharacteristic
371C23×D47—22no—
372C23×D47—22no—
373C23×D47—22no—
374C23×D47—22no—
375C23×D47—22no—
376C23×D47—22no—
377C23×D47—41no—
378C23×D47—41no—
379C23×D47—41no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47—41no—
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C2×D4×C47—22no—
390C2×D4×C47—41no—
391C2×D4×C47—41no—
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—22no—
406C2×C22⋊D47—22no—
407C2×C22⋊D47—22no—
408C2×C22⋊D47—22no—
409C2×C22⋊D47—22no—
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—22no—
413C2×C22⋊D47—41no—
414C2×C22⋊D47—41no—
415C2×C22⋊D47—41no—
416C2×C22⋊D47—41no—
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429D4×D47—416no—
430C2×D188—22no—
431C2×D188—22no—
432C2×D188—22no—
433C2×D188—22no—
434C2×D188—22no—
435C2×D188—41no—
436C2×D188—41no—
437C2×D188—41no—
438C2×D188—41no—
439C2×D188—41no—
440C2×D188—41no—
441C2×D188#4114yes—
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—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
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#4114yes—
465C2×C4×D47#4114yes—
466C2×Dic94—22no—
467C2×Dic94—22no—
468C2×Dic94—22no—
469C4⋊C4×C47—22no—
470C4⋊C4×C47—22no—
471C4⋊C4×C47—22no—
472C4⋊C4×C47—22no—
473C4⋊C4×C47—41no—
474C4⋊C4×C47—41no—
475C4⋊C4×C47—41no—
476C22⋊C4×C47—22no—
477C22⋊C4×C47—22no—
478C22⋊C4×C47—22no—
479C22⋊C4×C47—22no—
480C22⋊C4×C47—22no—
481C22⋊C4×C47—22no—
482C22⋊C4×C47—41no—
483C22⋊C4×C47—41no—
484C22⋊C4×C47—41no—
485C22⋊C4×C47—41no—
486C22⋊C4×C47—41no—
487C22⋊C4×C47—41no—
488C42×C47—22no—
489C42×C47—41no—
490C42×C47—41no—
491C42×C47—41no—
492C42×C47—41no—
493C22⋊Dic47—22no—
494C22⋊Dic47—22no—
495C22⋊Dic47—41no—
496C22⋊Dic47—41no—
497C22⋊Dic47—41no—
498C22⋊Dic47—41no—
499C22⋊Dic47—41no—
500C22⋊Dic47—41no—
501C22⋊Dic47—41no—
502C22⋊Dic47—41no—
503(C2×D47)⋊C4—22no—
504(C2×D47)⋊C4—22no—
505(C2×D47)⋊C4—22no—
506(C2×D47)⋊C4—22no—
507(C2×D47)⋊C4—22no—
508(C2×D47)⋊C4—22no—
509(C2×D47)⋊C4—22no—
510(C2×D47)⋊C4—22no—
511(C2×D47)⋊C4—22no—
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—22no—
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)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4—41no—
537(C2×D47)⋊C4—41no—
538(C2×D47)⋊C4—41no—
539C4⋊Dic47—22no—
540C4⋊Dic47—41no—
541C4⋊Dic47—41no—
542C4⋊Dic47—41no—
543C4⋊Dic47—41no—
544C4⋊Dic47—41no—
545C4⋊Dic47—41no—
546Dic47⋊C4—22no—
547Dic47⋊C4—22no—
548Dic47⋊C4—22no—
549Dic47⋊C4—22no—
550Dic47⋊C4—22no—
551Dic47⋊C4—22no—
552Dic47⋊C4—22no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560C4×Dic47—22no—
561C4×Dic47—22no—
562C4×Dic47—22no—
563C4×Dic47—22no—
564C4×Dic47—22no—
565C4×Dic47—22no—
566C4×Dic47—22no—
567C4×Dic47—41no—
568C4×Dic47—41no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
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×C47C2511yescharacteristic
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—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—44no—
612C22×D47—44no—
613C22×D47—44no—
614C22×D47—44no—
615C22×D47—44no—
616C22×D47—44no—
617C22×D47—82no—
618C22×D47—82no—
619C22×D47—82no—
620C22×D47—82no—
621C22×D47—82no—
622C22×D47—82no—
623C22×D47—82no—
624C22×D47—82no—
625C22×D47C2×#4112yes—
626C22×D47C2×#4112yes—
627C22×D47C2×#4112yes—
628C22×D47C2×#4112yes—
629D4×C47—44no—
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—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47C2×#4112yes—
666C2×C4×C47C2×#4112yes—
667C2×C4×C47C2×#4112yes—
668C2×C4×C47H(5,𝔽2)12yes—
669C22⋊D47—44no—
670C22⋊D47—44no—
671C22⋊D47—82no—
672C22⋊D47—82no—
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—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47C2×#4112yes—
706C2×Dic47C2×#4112yes—
707C2×Dic47H(5,𝔽2)12yes—
708C2×Dic47H(5,𝔽2)12yes—
709D188—28no—
710D188—44no—
711D188—82no—
712D188—82no—
713C4×D47—28no—
714C4×D47—44no—
715C4×D47—44no—
716C4×D47—44no—
717C4×D47—44no—
718C4×D47—44no—
719C4×D47—82no—
720C4×D47—82no—
721Dic94—44no—
722#35025—471nomaximal, Sylow
723C22×C47—41no—
724C22×C47—41no—
725C22×C47—41no—
726C22×C47—41no—
727C22×C47—41no—
728C22×C47—41no—
729C22×C47—41no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47C22×#4111yescharacteristic
738C22×C47C22×#4111yescharacteristic
739C22×C47C22×#4111yescharacteristic
740C22×C47C2×H(5,𝔽2)11yescharacteristic
741C22×C47C2×H(5,𝔽2)11yescharacteristic
742C22×C47C2×H(5,𝔽2)11yescharacteristic
743C22×C47#58511yescharacteristic
744C2×D47—22no—
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—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—41no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—88no—
772C2×D47—88no—
773C2×D47#52914yes—
774C4×C47—22no—
775C4×C47—22no—
776C4×C47—22no—
777C4×C47—22no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787Dic47—22no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47#53814yes—
799#2861—471no—
800#2860—471no—
801#2854—471no—
802#2850—471no—
803#2651—471no—
804#2651—471no—
805#2648—471no—
806#2648—471no—
807#2593—471no—
808#2593D4711yescharacteristic, complemented
809#2554—471no—
810#2554—471no—
811#2513—471no—
812#2490—471no—
813#2480—471no—
814#2480—471no—
815#2448—471no—
816#2442—471no—
817#2435—471no—
818#2426—471no—
819#2418—471no—
820#2418—471no—
821#2417—471no—
822#2408—471no—
823#2321—471no—
824#2321—471no—
825#2312—471no—
826#2312—471no—
827C4×C22⋊Q8—471no—
828C2×#390—471no—
829C42×D4—471no—
830C2×C47—81no—
831C2×C47—81no—
832C2×C47C2×#52911yescharacteristic
833C2×C47C2×#53811yescharacteristic
834C2×C47#346011yescharacteristic
835C2×C47#350511yescharacteristic
836C2×C47#350811yescharacteristic
837C2×C47#351411yescharacteristic
838C2×C47#351911yescharacteristic
839D47—24no—
840D47—42no—
841D47—81no—
842D47—81no—
843C23×D4—471no—
844C2×#126—471no—
845C2×#126—471no—
846C2×#125—471no—
847C2×#124—471no—
848C2×#124—471no—
849C2×#123—471no—
850C2×#123—471no—
851C2×C22⋊Q8—471no—
852C2×C22⋊Q8—471no—
853C2×#121—471no—
854C2×#121—471no—
855C2×#120—471no—
856C2×#120—471no—
857C2×C4×Q8—471no—
858C2×C4×D4—471no—
859C2×C4×D4—471no—
860C2×C4×D4—471no—
861C22×C4⋊C4—471no—
862C22×C22⋊C4—471no—
863C22×C22⋊C4—471no—
864C22×C22⋊C4—471no—
865C22×C22⋊C4—471no—
866C22×C42—471no—
867C22×C42—471no—
868#400—471no—
869#400C2×D4711yescharacteristic, complemented
870#399—471no—
871#399—471no—
872#398—471no—
873#398—471no—
874#398—471no—
875#398C2×D4711yescharacteristic, complemented
876#397—471no—
877#397—471no—
878#397—471no—
879#397—471no—
880#397—471no—
881#397—471no—
882#397—471no—
883#397—471no—
884#396—471no—
885#396—471no—
886#396—471no—
887#396—471no—
888#394—471no—
889#394—471no—
890#394—471no—
891#394—471no—
892#394—471no—
893#394—471no—
894#394—471no—
895#394—471no—
896#394C2×D4711yescharacteristic
897#394C2×D4711yescharacteristic
898#392—471no—
899#392—471no—
900#391—471no—
901#391—471no—
902#390—471no—
903#390—471no—
904#390—471no—
905#390—471no—
906#390—471no—
907#390—471no—
908#390—471no—
909#390—471no—
910#390—471no—
911#390—471no—
912#390—471no—
913#390—471no—
914#390—471no—
915#390—471no—
916#390—471no—
917#390C2×D4711yescharacteristic
918#389—471no—
919#389—471no—
920#389—471no—
921#389—471no—
922#388—471no—
923#388—471no—
924#388—471no—
925#388—471no—
926#388—471no—
927#388—471no—
928#388—471no—
929#388—471no—
930#388—471no—
931#388—471no—
932#388—471no—
933#388—471no—
934#388—471no—
935#388—471no—
936#388—471no—
937#388—471no—
938#388—471no—
939#388—471no—
940#388—471no—
941#388—471no—
942#388—471no—
943#388—471no—
944#388—471no—
945#388—471no—
946#388—471no—
947#388—471no—
948#388C2×D4711yescharacteristic, complemented
949#388C2×D4711yescharacteristic, complemented
950#388C2×D4711yescharacteristic, complemented
951#388C2×D4711yescharacteristic, complemented
952#388C2×D4711yescharacteristic, complemented
953#388C2×D4711yescharacteristic, complemented
954#388C2×D4711yescharacteristic, complemented
955#388C2×D4711yescharacteristic, complemented
956#387—471no—
957#387—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386—471no—
966#385—471no—
967#385—471no—
968#385—471no—
969#385—471no—
970#382—471no—
971#380—471no—
972#380—471no—
973#380—471no—
974#380—471no—
975#380—471no—
976#380—471no—
977#379—471no—
978#379—471no—
979#379—471no—
980#379—471no—
981#379—471no—
982#379—471no—
983C4×C4⋊C4—471no—
984C4×C4⋊C4—471no—
985C4×C4⋊C4—471no—
986C4×C4⋊C4—471no—
987C4×C4⋊C4C2×D4711yescharacteristic, complemented
988C4×C4⋊C4C2×D4711yescharacteristic, complemented
989C4×C22⋊C4—471no—
990C4×C22⋊C4—471no—
991C4×C22⋊C4—471no—
992C4×C22⋊C4—471no—
993C4×C22⋊C4—471no—
994C4×C22⋊C4—471no—
995C4×C22⋊C4—471no—
996C4×C22⋊C4—471no—
997C43—471no—
998C47#3502511yescharacteristic, complemented, Sylow
999C25—471no—
1000C25—471no—
1001C22×Q8—471no—
1002C22×D4—471no—
1003C22×D4—471no—
1004C22×D4—471no—
1005C22×D4—471no—
1006C22×D4—471no—
1007C22×D4—471no—
1008C22×D4—471no—
1009C22×D4—471no—
1010C22×D4—944no—
1011C22×D4—1882no—
1012C22×D4—1882no—
1013C22×D4C22×D4711yescharacteristic
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—471no—
1020C23×C4—471no—
1021C23×C4—471no—
1022#126—1882no—
1023#126—1882no—
1024#125—1882no—
1025#124—1882no—
1026#124—1882no—
1027#123—1882no—
1028#123—1882no—
1029C22⋊Q8—944no—
1030C22⋊Q8—1882no—
1031#121—1882no—
1032#121—1882no—
1033#120—944no—
1034#120—944no—
1035C4×Q8—1882no—
1036C4×D4—944no—
1037C4×D4—944no—
1038C4×D4—944no—
1039C2×C4⋊C4—471no—
1040C2×C4⋊C4—471no—
1041C2×C4⋊C4—471no—
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—1882no—
1061C2×C4⋊C4C22×D4711yescharacteristic
1062C2×C4⋊C4C22×D4711yescharacteristic
1063C2×C4⋊C4C22×D4711yescharacteristic
1064C2×C4⋊C4C22×D4711yescharacteristic
1065C2×C4⋊C4C22×D4711yescharacteristic
1066C2×C4⋊C4C22×D4711yescharacteristic
1067C2×C4⋊C4C22×D4711yescharacteristic
1068C2×C22⋊C4—471no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
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—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—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—944no—
1115C2×C22⋊C4—944no—
1116C2×C22⋊C4—1882no—
1117C2×C22⋊C4—1882no—
1118C2×C22⋊C4C22×D4711yescharacteristic
1119C2×C22⋊C4C22×D4711yescharacteristic
1120C2×C22⋊C4C22×D4711yescharacteristic
1121C2×C22⋊C4C22×D4711yescharacteristic
1122C2×C22⋊C4C22×D4711yescharacteristic
1123C2×C22⋊C4C22×D4711yescharacteristic
1124C2×C22⋊C4C22×D4711yescharacteristic
1125C2×C22⋊C4C22×D4711yescharacteristic
1126C2×C22⋊C4C22×D4711yescharacteristic
1127C2×C22⋊C4C22×D4711yescharacteristic
1128C2×C22⋊C4C22×D4711yescharacteristic
1129C2×C22⋊C4C22×D4711yescharacteristic
1130C2×C42—471no—
1131C2×C42—471no—
1132C2×C42—471no—
1133C2×C42—471no—
1134C2×C42—471no—
1135C2×C42—471no—
1136C2×C42—471no—
1137C2×C42—471no—
1138C2×C42—471no—
1139C2×C42—471no—
1140C2×C42—471no—
1141C2×C42—471no—
1142C2×C42—1882no—
1143C2×C42—1882no—
1144C2×C42C22×D4711yescharacteristic
1145C2×C42C22×D4711yescharacteristic
1146C2×C42C22×D4711yescharacteristic
1147C2×C42C22×D4711yescharacteristic
1148C2×C42C22×D4711yescharacteristic
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—471no—
1185C24—942no—
1186C24—942no—
1187C24—942no—
1188C24—942no—
1189C24—942no—
1190C24—942no—
1191C24—1881no—
1192C24—1881no—
1193C24—1881no—
1194C24—1881no—
1195C24—1881no—
1196C24—1881no—
1197C24—1881no—
1198C24—1881no—
1199C24C23×D4711yescharacteristic
1200C24C23×D4711yescharacteristic
1201C2×Q8—942no—
1202C2×Q8—942no—
1203C2×Q8—942no—
1204C2×D4—22no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—474no—
1208C2×D4—942no—
1209C2×D4—942no—
1210C2×D4—942no—
1211C2×D4—942no—
1212C2×D4—942no—
1213C2×D4—942no—
1214C2×D4—942no—
1215C2×D4—942no—
1216C2×D4—942no—
1217C2×D4—942no—
1218C2×D4—942no—
1219C2×D4—942no—
1220C2×D4—942no—
1221C2×D4—1881no—
1222C2×D4—1881no—
1223C2×D4—1881no—
1224C2×D4—1881no—
1225C2×D4—1881no—
1226C2×D4—1881no—
1227C2×D4—18816no—
1228C2×D4—1881no—
1229C2×D4—1881no—
1230C2×D4—1881no—
1231C2×D4—1881no—
1232C22×C4—471no—
1233C22×C4—471no—
1234C22×C4—474no—
1235C22×C4—474no—
1236C22×C4—471no—
1237C22×C4—471no—
1238C22×C4—471no—
1239C22×C4—471no—
1240C22×C4—471no—
1241C22×C4—471no—
1242C22×C4—471no—
1243C22×C4—471no—
1244C22×C4—471no—
1245C22×C4—471no—
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—942no—
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×C4C23×D4711yescharacteristic
1269C22×C4C23×D4711yescharacteristic
1270C22×C4C23×D4711yescharacteristic
1271C22×C4C23×D4711yescharacteristic
1272C22×C4C23×D4711yescharacteristic
1273C22×C4C23×D4711yescharacteristic
1274C22×C4C23×D4711yescharacteristic
1275C22×C4C23×D4711yescharacteristic
1276C22×C4C23×D4711yescharacteristic
1277C22×C4C23×D4711yescharacteristic
1278C22×C4C23×D4711yescharacteristic
1279C22×C4C23×D4711yescharacteristic
1280C22×C4C23×D4711yescharacteristic
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—942no—
1289C4⋊C4—942no—
1290C4⋊C4—942no—
1291C4⋊C4—942no—
1292C4⋊C4—942no—
1293C4⋊C4—942no—
1294C4⋊C4—942no—
1295C4⋊C4—942no—
1296C4⋊C4—1881no—
1297C4⋊C4—1881no—
1298C4⋊C4—1881no—
1299C4⋊C4—1881no—
1300C4⋊C4—1881no—
1301C4⋊C4—1881no—
1302C4⋊C4—1881no—
1303C4⋊C4—1881no—
1304C4⋊C4—1881no—
1305C4⋊C4—1881no—
1306C4⋊C4—1881no—
1307C4⋊C4—1881no—
1308C4⋊C4—1881no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—942no—
1322C22⋊C4—942no—
1323C22⋊C4—942no—
1324C22⋊C4—942no—
1325C22⋊C4—942no—
1326C22⋊C4—942no—
1327C22⋊C4—942no—
1328C22⋊C4—942no—
1329C22⋊C4—942no—
1330C22⋊C4—942no—
1331C22⋊C4—942no—
1332C22⋊C4—942no—
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—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⋊C4—1881no—
1363C22⋊C4—1881no—
1364C22⋊C4—1881no—
1365C22⋊C4—1881no—
1366C22⋊C4—1881no—
1367C42—22no—
1368C42—41no—
1369C42—41no—
1370C42—41no—
1371C42—41no—
1372C42—942no—
1373C42—942no—
1374C42—942no—
1375C42—942no—
1376C42—942no—
1377C42—942no—
1378C42—942no—
1379C42—1881no—
1380C42—1881no—
1381C42—1881no—
1382C42—1881no—
1383C42—1881no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—472no—
1399C23—472no—
1400C23—472no—
1401C23—472no—
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—941no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—3762no—
1427C23—3762no—
1428C23—3762no—
1429C23—3762no—
1430C23—3762no—
1431C23—3762no—
1432C23—3762no—
1433C23—3762no—
1434C23—1884no—
1435C23—1884no—
1436C23—1884no—
1437C23—1884no—
1438C23—1884no—
1439C23—1884no—
1440C23C24×D4711yescharacteristic
1441Q8—1884no—
1442D4—44no—
1443D4—948no—
1444D4—3762no—
1445D4—3762no—
1446D4—3762no—
1447D4—3762no—
1448D4—1884no—
1449D4—1884no—
1450D4—1884no—
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—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—472no—
1487C2×C4—472no—
1488C2×C4—472no—
1489C2×C4—472no—
1490C2×C4—948no—
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—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—3762no—
1524C2×C4—3762no—
1525C2×C4—1884no—
1526C2×C4—1884no—
1527C2×C4—1884no—
1528C2×C4—1884no—
1529C2×C4—1884no—
1530C2×C4#41×D4712yes—
1531C2×C4#41×D4712yes—
1532C2×C4#41×D4712yes—
1533C2×C4#1309407012yes—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—474no—
1549C22—942no—
1550C22—942no—
1551C22—942no—
1552C22—942no—
1553C22—942no—
1554C22—942no—
1555C22—942no—
1556C22—942no—
1557C22—942no—
1558C22—3768no—
1559C22—3768no—
1560C22—1881no—
1561C22—1881no—
1562C22—1881no—
1563C22—1881no—
1564C22—1881no—
1565C22—1881no—
1566C22—1881no—
1567C22—1881no—
1568C22—1881no—
1569C22—1881no—
1570C22—1881no—
1571C22—1881no—
1572C22—1881no—
1573C22—1881no—
1574C22—1881no—
1575C22—1881no—
1576C22—1881no—
1577C22—1881no—
1578C22C2×#41×D4711yescharacteristic
1579C22C2×#41×D4711yescharacteristic
1580C22C2×#41×D4711yescharacteristic
1581C22H(5,𝔽2)×D4711yescharacteristic
1582C22H(5,𝔽2)×D4711yescharacteristic
1583C22C2×#1309407011yescharacteristic
1584C22#1568995911yescharacteristic
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—474no—
1599C4—942no—
1600C4—1881no—
1601C4—1881no—
1602C4—1881no—
1603C4—1881no—
1604C4—1881no—
1605C4—1881no—
1606C4—1881no—
1607C4—1881no—
1608C4—1881no—
1609C4—1881no—
1610C2—81no—
1611C2—81no—
1612C2—944no—
1613C2—3761no—
1614C2—3761no—
1615C2—1882no—
1616C2#529×D4711yescharacteristic
1617C2#538×D4711yescharacteristic
1618C2#2025680911yescharacteristic
1619C2#2025722111yescharacteristic
1620C2#2025726111yescharacteristic
1621C2#2025734511yescharacteristic
1622C2#2025741611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2593C2
prime radical#20246739C2
hypercenter#2593D47
hypocenterC47#35025
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2593

Complements

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

NH ≅ G/Ntype
1. #20251757C2semidirect
2. #20251754C2semidirect
3. #20251715C2semidirect
4. #20251686C2semidirect
5. #20249424C2semidirect
6. #20249422C2semidirect
7. #20249375C2semidirect
8. #20249373C2semidirect
9. #20248879C2semidirect
10. #20248450C2semidirect
11. #20248442C2semidirect
12. #20247982C2semidirect
13. #20247739C2semidirect
14. #20247640C2semidirect
15. #20247632C2semidirect
16. #20247183C2semidirect
17. #20247105C2semidirect
18. #20247034C2semidirect
19. #20246953C2semidirect
20. #20246857C2semidirect
21. #20246855C2semidirect
22. #20246834C2semidirect
24. #20246041C2semidirect
25. #20246041C2semidirect
26. #20245982C2semidirect
27. #20245982C2semidirect
28. C4×#13094002C2semidirect
29. #390×D47C2semidirect
30. C4×#13093986C2semidirect
31. C47×#2593C2semidirect
33. C2×#13094019C22semidirect
34. C2×#13094017C22semidirect
35. C2×#13094014C22semidirect
38. C2×#13094009C22semidirect
39. C2×#13094006C22semidirect
41. C2×#13094002C22semidirect
46. C2×C4×Dic94C22semidirect
56. C2×C42×D47C22semidirect
57. #15689065C22semidirect
58. #15689060C22semidirect
59. #15689059C22semidirect
60. #15689056C22semidirect
61. #15689056C22semidirect
62. #15689055C22semidirect
63. #15689052C22semidirect
64. #15689052C22semidirect
65. #15689051C22semidirect
66. #15689050C22semidirect
67. #15689050C22semidirect
68. #15689048C22semidirect
69. #15689048C22semidirect
70. #15689048C22semidirect
71. #15689046C22semidirect
72. #15689045C22semidirect
73. #15689045C22semidirect
74. #15689045C22semidirect
76. #15689041C22semidirect
79. #15689040C22semidirect
80. #15689039C22semidirect
81. #15689038C22semidirect
85. #15689027C22semidirect
86. #15689027C22semidirect
89. #15689025C22semidirect
90. #15689025C22semidirect
100. #15689023C22semidirect
101. #15689023C22semidirect
102. #15689020C22semidirect
103. #15689020C22semidirect
104. #15689020C22semidirect
105. #15689018C22semidirect
106. #15689017C22semidirect
107. #15689017C22semidirect
108. #15689016C22semidirect
109. #15689016C22semidirect
110. #15689016C22semidirect
111. #15689016C22semidirect
112. #15689015C22semidirect
113. #15689015C22semidirect
114. #15689015C22semidirect
115. #15689014C22semidirect
116. #15689014C22semidirect
117. #15689014C22semidirect
118. #15689014C22semidirect
119. #15689014C22semidirect
120. #15689014C22semidirect
121. #15689013C22semidirect
122. #15689013C22semidirect
123. #15689013C22semidirect
124. #15689013C22semidirect
125. #15689012C22semidirect
126. #15689012C22semidirect
127. #15689012C22semidirect
128. #15689012C22semidirect
129. #15689011C22semidirect
130. #15689011C22semidirect
131. #15689011C22semidirect
132. #15689009C22semidirect
133. #15689005C22semidirect
136. #15689001C22semidirect
137. #15689001C22semidirect
138. #15689001C22semidirect
139. #15688999C22semidirect
140. #15688999C22semidirect
141. #15688999C22semidirect
146. #15688987C22semidirect
150. #15688982C22semidirect
159. C4⋊C4×Dic47C22semidirect
160. C4⋊C4×Dic47C22semidirect
161. C4×Dic47⋊C4C22semidirect
162. C4×Dic47⋊C4C22semidirect
166. C4×(C2×D47)⋊C4C22semidirect
169. #15688970C22semidirect
170. #15688970C22semidirect
171. C42×Dic47C22semidirect
172. C47×#400C22semidirect
173. C47×#398C22semidirect
177. C47×#388C22semidirect
178. C47×#388C22semidirect
179. C47×#388C22semidirect
180. C47×#388C22semidirect
181. C47×#388C22semidirect
182. C47×#388C22semidirect
183. C47×#388C22semidirect
184. C47×#388C22semidirect
185. C4×C4⋊C4×C47C22semidirect
186. C4×C4⋊C4×C47C22semidirect
808. #2593D47semidirect
869. #400C2×D47semidirect
875. #398C2×D47semidirect
948. #388C2×D47semidirect
949. #388C2×D47semidirect
950. #388C2×D47semidirect
951. #388C2×D47semidirect
952. #388C2×D47semidirect
953. #388C2×D47semidirect
954. #388C2×D47semidirect
955. #388C2×D47semidirect
987. C4×C4⋊C4C2×D47semidirect
988. C4×C4⋊C4C2×D47semidirect
998. C47#35025semidirect

Maximal subgroups

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

subgroupindex
#202517572
#202517542
#202517152
#202516862
#202494242
#202494222
#202493752
#202493732
#202488792
#202484502
#202484422
#202479822
#202477392
#202476402
#202476322
#202471832
#202471052
#202470342
#202469532
#202468572
#202468552
#202468342
#202467392
#202460412
#202459822
C4×#130940022
#390×D472
C4×#130939862
C47×#25932
#3502547