Finite Group Databasebeta

← #26388964

Subgroups — #26388964

Order 12032.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689716C211yesmaximal, characteristic, complemented
2C2×C4×D4×D47C211yesmaximal, characteristic, complemented
3#20251702C211yesmaximal, characteristic, complemented
4#20251695C211yesmaximal, characteristic, complemented
5#20251677C211yesmaximal, characteristic, complemented
6#20251676C211yesmaximal, characteristic, complemented
7#20249305C211yesmaximal, characteristic, complemented
8#20249289C211yesmaximal, characteristic, complemented
9#20249260C211yesmaximal, characteristic, complemented
10#20247629C211yesmaximal, characteristic, complemented
11#20247532C211yesmaximal, characteristic, complemented
12#20247419C211yesmaximal, characteristic, complemented
13#20247380C211yesmaximal, characteristic, complemented
14#20247343C211yesmaximal, characteristic, complemented
15#20247264C211yesmaximal, characteristic, complemented
16#20247198C211yesmaximal, characteristic, complemented
17#20247192C211yesmaximal, characteristic, complemented
18#20247116C211yesmaximal, characteristic, complemented
19#20247050C211yesmaximal, characteristic, complemented
20#20246934C211yesmaximal, characteristic, complemented
21#20246858C211yesmaximal, characteristic, complemented
22#20246843C211yesmaximal, characteristic, complemented
23#20246779C211yesmaximal, characteristic, complemented
24#20246755C211yesmaximal, characteristic
25#20246710C211yesmaximal, characteristic, complemented
26#20246092C211yesmaximal, characteristic, complemented
27#20246061C211yesmaximal, characteristic, complemented
28#20246023C211yesmaximal, characteristic, complemented
29#20245893C211yesmaximal, characteristic, complemented
30#385×D47C211yesmaximal, characteristic, complemented
31C47×#2630C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35#15689716—28no—
36C2×#13094017C2211yescharacteristic, complemented
37C2×#13094017C2211yescharacteristic, complemented
38C2×#13094015C2211yescharacteristic, complemented
39C2×#13094014C2211yescharacteristic, complemented
40C2×#13094009C2211yescharacteristic
41C2×#13094006C2211yescharacteristic
42C2×#13094006C2211yescharacteristic, complemented
43C2×#13094005C2211yescharacteristic, complemented
44C2×#13094005C2211yescharacteristic, complemented
45C2×#13094004C2211yescharacteristic
46C2×#13094004C2211yescharacteristic, complemented
47C2×#13094003C2211yescharacteristic, complemented
48C2×#13094002C2211yescharacteristic, complemented
49C2×#13094001C2211yescharacteristic, complemented
50C2×#13093997C2211yescharacteristic
51C2×#13093995C2211yescharacteristic
52C2×#13093992C2211yescharacteristic
53C2×#13093992C2211yescharacteristic
54C2×C4×D188C2211yescharacteristic
55C2×D4×Dic47C2211yescharacteristic
56C2×D4×Dic47C2211yescharacteristic, complemented
57C2×#13093986C2211yescharacteristic
58C2×C4×C22⋊D47C2211yescharacteristic
59C2×C4×C22⋊D47C2211yescharacteristic
60C2×(C22⋊D47)⋊C4C2211yescharacteristic
61C2×(C22⋊D47)⋊C4C2211yescharacteristic
62C2×(C22⋊D47)⋊C4C2211yescharacteristic
63C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
64C4×D4×D47—28no—
65C2×C4⋊C4×D47C2211yescharacteristic
66C2×C4⋊C4×D47C2211yescharacteristic, complemented
67C2×C4⋊C4×D47C2211yescharacteristic, complemented
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C22⋊C4×D47C2211yescharacteristic
70C2×C22⋊C4×D47C2211yescharacteristic
71C2×C22⋊C4×D47C2211yescharacteristic
72C2×C42×D47C2211yescharacteristic
73#15689065C2211yescharacteristic, complemented
74#15689059C2211yescharacteristic, complemented
75#15689059C2211yescharacteristic, complemented
76#15689058C2211yescharacteristic, complemented
77#15689057C2211yescharacteristic, complemented
78#15689056C2211yescharacteristic, complemented
79#15689053C2211yescharacteristic, complemented
80#15689052C2211yescharacteristic, complemented
81#15689051C2211yescharacteristic, complemented
82#15689051C2211yescharacteristic, complemented
83#15689051C2211yescharacteristic, complemented
84#15689048C2211yescharacteristic, complemented
85#15689047C2211yescharacteristic, complemented
86#15689046C2211yescharacteristic, complemented
87#15689043C2211yescharacteristic, complemented
88#15689039C2211yescharacteristic
89#15689039C2211yescharacteristic
90#15689038C2211yescharacteristic
91#15689038C2211yescharacteristic, complemented
92#15689037C2211yescharacteristic
93#15689037C2211yescharacteristic
94#15689037C2211yescharacteristic, complemented
95#15689035C2211yescharacteristic, complemented
96#15689031C2211yescharacteristic
97#15689022C2211yescharacteristic, complemented
98#15689020C2211yescharacteristic, complemented
99#15689020C2211yescharacteristic, complemented
100#15689018C2211yescharacteristic, complemented
101#15689017C2211yescharacteristic, complemented
102#15689017C2211yescharacteristic, complemented
103#15689017C2211yescharacteristic, complemented
104#15689016C2211yescharacteristic, complemented
105#15689015C2211yescharacteristic, complemented
106#15689013C2211yescharacteristic, complemented
107#15689012C2211yescharacteristic, complemented
108#15689010C2211yescharacteristic, complemented
109#15689010C2211yescharacteristic, complemented
110#15689009C2211yescharacteristic, complemented
111#15689007C2211yescharacteristic, complemented
112#15689007C2211yescharacteristic, complemented
113#15689006C2211yescharacteristic, complemented
114#15689006C2211yescharacteristic, complemented
115#15689004C2211yescharacteristic, complemented
116#15689004C2211yescharacteristic, complemented
117#15689001C2211yescharacteristic
118#15689001C2211yescharacteristic
119#15689000C2211yescharacteristic, complemented
120#15688999C2211yescharacteristic
121#15688999C2211yescharacteristic
122#15688999C2211yescharacteristic
123#15688999C2211yescharacteristic
124#15688999C2211yescharacteristic
125#15688999C2211yescharacteristic
126#15688999C2211yescharacteristic, complemented
127#15688999C2211yescharacteristic, complemented
128#15688999C2211yescharacteristic, complemented
129#15688999C2211yescharacteristic, complemented
130#15688998C2211yescharacteristic, complemented
131#15688998C2211yescharacteristic, complemented
132#15688998C2211yescharacteristic, complemented
133#15688998C2211yescharacteristic, complemented
134#15688997C2211yescharacteristic
135#15688997C2211yescharacteristic
136#15688997C2211yescharacteristic
137#15688997C2211yescharacteristic
138#15688997C2211yescharacteristic
139#15688997C2211yescharacteristic, complemented
140#15688997C2211yescharacteristic, complemented
141#15688997C2211yescharacteristic, complemented
142#15688997C2211yescharacteristic, complemented
143#15688996C2211yescharacteristic, complemented
144#15688996C2211yescharacteristic, complemented
145#15688995C2211yescharacteristic, complemented
146#15688994C2211yescharacteristic
147#15688994C2211yescharacteristic
148#15688994C2211yescharacteristic
149#15688994C2211yescharacteristic
150#15688994C2211yescharacteristic
151#15688994C2211yescharacteristic, complemented
152#15688994C2211yescharacteristic, complemented
153#15688994C2211yescharacteristic, complemented
154#15688994C2211yescharacteristic, complemented
155#15688990C2211yescharacteristic, complemented
156#15688987C2211yescharacteristic, complemented
157#15688986C2211yescharacteristic, complemented
158#15688985C2211yescharacteristic, complemented
159#15688984C2211yescharacteristic, complemented
160#15688982C2211yescharacteristic
161#15688982C2211yescharacteristic
162#15688980C2211yescharacteristic
163#15688980C2211yescharacteristic, complemented
164#15688980C2211yescharacteristic, complemented
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic
171#15688970C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic, complemented
173#95×D47C2211yescharacteristic, complemented
174C2×#123×C47C2211yescharacteristic, complemented
175C2×C4×D4×C47C2211yescharacteristic
176C47×#398C2211yescharacteristic, complemented
177C47×#397C2211yescharacteristic, complemented
178C47×#396C2211yescharacteristic, complemented
179C47×#396C2211yescharacteristic, complemented
180C47×#394C2211yescharacteristic
181C47×#394C2211yescharacteristic, complemented
182C47×#394C2211yescharacteristic, complemented
183C47×#392C2211yescharacteristic
184C47×#388C2211yescharacteristic, complemented
185C47×#387C2211yescharacteristic, complemented
186C47×#386C2211yescharacteristic, complemented
187C47×#385C2211yescharacteristic, complemented
188C47×#380C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C2×D4×D47—24no—
199C2×D4×D47—24no—
200C2×D4×D47—24no—
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C22×C4×D47—24no—
205C22×C4×D47—24no—
206C22×C4×D47—42no—
207C22×C4×D47—42no—
208C22×C4×D47—42no—
209C22×C4×D47—42no—
210C22×C4×D47C2311yescharacteristic
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
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223#13094017—24no—
224#13094017—24no—
225#13094015—24no—
226#13094014—24no—
227#13094009—24no—
228#13094006—24no—
229#13094006—24no—
230#13094005—24no—
231#13094005—42no—
232#13094004—42no—
233#13094004—42no—
234#13094003—24no—
235#13094002—24no—
236#13094001—24no—
237#13093997—24no—
238#13093995—24no—
239#13093992—24no—
240#13093992—42no—
241C4×D188—24no—
242D4×Dic47—24no—
243D4×Dic47—42no—
244#13093986—24no—
245C4×C22⋊D47—24no—
246C4×C22⋊D47D418yescomplemented
247(C22⋊D47)⋊C4—24no—
248(C22⋊D47)⋊C4—24no—
249(C22⋊D47)⋊C4—24no—
250(C22⋊D47)⋊C4—42no—
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
259C2×C4⋊Dic47C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C4⋊C4×D47—24no—
278C4⋊C4×D47—24no—
279C4⋊C4×D47—42no—
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×C22⋊Dic47C2311yescharacteristic
292C2×C22⋊Dic47C2311yescharacteristic
293C2×C22⋊Dic47C2311yescharacteristic
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
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C22⋊C4×D47—24no—
316C22⋊C4×D47—24no—
317C22⋊C4×D47—24no—
318C22⋊C4×D47—42no—
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C42×D47—24no—
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
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C47⋊#95C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C22×D4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359#123×C47—24no—
360C4×D4×C47—24no—
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C42×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—22no—
399C23×D47—22no—
400C23×D47—22no—
401C23×D47—22no—
402C23×D47—22no—
403C23×D47—41no—
404C23×D47—41no—
405C23×D47—41no—
406C23×D47—41no—
407C23×D47#4114yes—
408C23×D47C2411yescharacteristic
409C23×D47C2411yescharacteristic
410C23×D47C2411yescharacteristic
411C2×D4×C47—22no—
412C2×D4×C47—22no—
413C2×D4×C47—22no—
414C2×D4×C47—22no—
415C2×D4×C47—22no—
416C2×D4×C47—41no—
417C2×D4×C47—41no—
418C2×D4×C47—41no—
419C2×D4×C47—41no—
420C22×C4×C47—22no—
421C22×C4×C47—41no—
422C22×C4×C47—41no—
423C22×C4×C47—41no—
424C22×C4×C47—41no—
425C22×C4×C47C2×D414yes—
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—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—22no—
446C2×C22⋊D47—22no—
447C2×C22⋊D47—22no—
448C2×C22⋊D47—22no—
449C2×C22⋊D47—22no—
450C2×C22⋊D47—41no—
451C2×C22⋊D47—41no—
452C2×C22⋊D47C2×D414yes—
453C22×Dic47—22no—
454C22×Dic47—22no—
455C22×Dic47—22no—
456C22×Dic47—22no—
457C22×Dic47—22no—
458C22×Dic47—41no—
459C22×Dic47—41no—
460C22×Dic47—41no—
461C22×Dic47—41no—
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475D4×D47—232no—
476C2×D188—22no—
477C2×D188—22no—
478C2×D188#4114yes—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—22no—
487C2×C4×D47—22no—
488C2×C4×D47—22no—
489C2×C4×D47—22no—
490C2×C4×D47—22no—
491C2×C4×D47—22no—
492C2×C4×D47—22no—
493C2×C4×D47—22no—
494C2×C4×D47—22no—
495C2×C4×D47—22no—
496C2×C4×D47—22no—
497C2×C4×D47—22no—
498C2×C4×D47—22no—
499C2×C4×D47—22no—
500C2×C4×D47—22no—
501C2×C4×D47—22no—
502C2×C4×D47—416no—
503C2×C4×D47—416no—
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×D47—41no—
518C2×C4×D47—41no—
519C2×C4×D47C2×D414yes—
520C2×Dic94—22no—
521C2×Dic94—41no—
522C2×Dic94—41no—
523C4⋊C4×C47—22no—
524C4⋊C4×C47—22no—
525C4⋊C4×C47—22no—
526C4⋊C4×C47—22no—
527C4⋊C4×C47—41no—
528C4⋊C4×C47—41no—
529C4⋊C4×C47—41no—
530C4⋊C4×C47—41no—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—22no—
534C22⋊C4×C47—22no—
535C22⋊C4×C47—22no—
536C22⋊C4×C47—22no—
537C22⋊C4×C47—22no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47—41no—
540C22⋊C4×C47—41no—
541C22⋊C4×C47—41no—
542C22⋊C4×C47—41no—
543C22⋊C4×C47—41no—
544C42×C47—22no—
545C22⋊Dic47—22no—
546C22⋊Dic47—22no—
547C22⋊Dic47—22no—
548C22⋊Dic47—22no—
549C22⋊Dic47—22no—
550C22⋊Dic47—22no—
551C22⋊Dic47—22no—
552C22⋊Dic47—22no—
553C22⋊Dic47—41no—
554C22⋊Dic47—41no—
555C22⋊Dic47—41no—
556C22⋊Dic47—41no—
557C22⋊Dic47—41no—
558C22⋊Dic47C2×D414yes—
559(C2×D47)⋊C4—22no—
560(C2×D47)⋊C4—22no—
561(C2×D47)⋊C4—22no—
562(C2×D47)⋊C4—22no—
563(C2×D47)⋊C4—22no—
564(C2×D47)⋊C4—22no—
565(C2×D47)⋊C4—22no—
566(C2×D47)⋊C4—22no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—22no—
571(C2×D47)⋊C4—22no—
572(C2×D47)⋊C4—22no—
573(C2×D47)⋊C4—22no—
574(C2×D47)⋊C4—22no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4—41no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊C4—41no—
579(C2×D47)⋊C4C2×D414yes—
580C4⋊Dic47—22no—
581C4⋊Dic47—22no—
582C4⋊Dic47—22no—
583C4⋊Dic47—22no—
584C4⋊Dic47—22no—
585C4⋊Dic47—22no—
586C4⋊Dic47—22no—
587C4⋊Dic47—41no—
588C4⋊Dic47—41no—
589Dic47⋊C4—22no—
590Dic47⋊C4—22no—
591Dic47⋊C4—22no—
592Dic47⋊C4—22no—
593Dic47⋊C4—22no—
594Dic47⋊C4—22no—
595Dic47⋊C4—22no—
596Dic47⋊C4—22no—
597Dic47⋊C4—22no—
598Dic47⋊C4—22no—
599Dic47⋊C4—22no—
600Dic47⋊C4—41no—
601Dic47⋊C4—41no—
602Dic47⋊C4—41no—
603Dic47⋊C4—41no—
604Dic47⋊C4—41no—
605Dic47⋊C4C2×D414yes—
606C4×Dic47—22no—
607C4×Dic47—22no—
608C4×Dic47—22no—
609C4×Dic47—41no—
610C4×Dic47—41no—
611C4×Dic47C2×D414yes—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47—21no—
631C23×C47C22×D412yes—
632C23×C47C2×#4112yes—
633C23×C47C2511yescharacteristic
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—28no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47—21no—
647C22×D47—21no—
648C22×D47—21no—
649C22×D47—28no—
650C22×D47—28no—
651C22×D47—44no—
652C22×D47—44no—
653C22×D47—44no—
654C22×D47—44no—
655C22×D47—44no—
656C22×D47—44no—
657C22×D47—44no—
658C22×D47—44no—
659C22×D47—44no—
660C22×D47—44no—
661C22×D47—44no—
662C22×D47C22×D412yes—
663C22×D47C2×#4112yes—
664C22×D47C2×#4112yes—
665C22×D47C2×#4112yes—
666C22×D47C2×#4112yes—
667C22×D47H(5,𝔽2)12yes—
668C22×D472−1+412yes—
669D4×C47—28no—
670D4×C47—44no—
671D4×C47—82no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
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—44no—
706C2×C4×C47—44no—
707C2×C4×C47C22×D412yes—
708C2×C4×C47C22×D412yes—
709C2×C4×C47C2×#4112yes—
710C22⋊D47—28no—
711C22⋊D47—28no—
712C22⋊D47—44no—
713C22⋊D47—44no—
714C22⋊D47—82no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
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—44no—
751C2×Dic47—44no—
752C2×Dic47—82no—
753C2×Dic47C22×D412yes—
754C2×Dic47C22×D412yes—
755C2×Dic47C22×D412yes—
756C2×Dic47H(5,𝔽2)12yes—
757D188—28no—
758C4×D47—28no—
759C4×D47—28no—
760C4×D47—44no—
761C4×D47—44no—
762C4×D47—44no—
763C4×D47—44no—
764C4×D47—44no—
765C4×D47—44no—
766C4×D47—44no—
767C4×D47—44no—
768C4×D47—44no—
769C4×D47—82no—
770C4×D47—82no—
771Dic94—82no—
772#34991—471nomaximal, Sylow
773C22×C47—22no—
774C22×C47—22no—
775C22×C47—22no—
776C22×C47—22no—
777C22×C47—22no—
778C22×C47—22no—
779C22×C47—41no—
780C22×C47—41no—
781C22×C47—41no—
782C22×C47—41no—
783C22×C47—41no—
784C22×C47—41no—
785C22×C47—41no—
786C22×C47—41no—
787C22×C47—41no—
788C22×C47—41no—
789C22×C47—41no—
790C22×C47—41no—
791C22×C47—41no—
792C22×C47—41no—
793C22×C47—41no—
794C22×C47C23×D411yescharacteristic
795C22×C47C22×#4111yescharacteristic
796C22×C47C22×#4111yescharacteristic
797C22×C47C2×H(5,𝔽2)11yescharacteristic
798C22×C47C2×H(5,𝔽2)11yescharacteristic
799C22×C47C2×2−1+411yescharacteristic
800C22×C47#58511yescharacteristic
801C2×D47—22no—
802C2×D47—22no—
803C2×D47—22no—
804C2×D47—22no—
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—416no—
817C2×D47—416no—
818C2×D47—41no—
819C2×D47—41no—
820C2×D47—41no—
821C2×D47—41no—
822C2×D47#52514yes—
823C2×D47#53914yescomplemented
824C4×C47—22no—
825C4×C47—22no—
826C4×C47—22no—
827C4×C47—41no—
828C4×C47—41no—
829C4×C47—41no—
830C4×C47—41no—
831C4×C47—41no—
832C4×C47—41no—
833C4×C47—41no—
834C4×C47—41no—
835C4×C47—41no—
836Dic47—22no—
837Dic47—22no—
838Dic47—22no—
839Dic47—22no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47—41no—
844Dic47—41no—
845Dic47—41no—
846Dic47—41no—
847Dic47—41no—
848Dic47—41no—
849C2×#539—471no—
850C22×C4×D4—471no—
851#2852—471no—
852#2851—471no—
853#2849—471no—
854#2848—471no—
855#2638—471no—
856#2636—471no—
857#2633—471no—
858#2630D4711yescharacteristic, complemented
859#2480—471no—
860#2473—471no—
861#2466—471no—
862#2463—471no—
863#2460—471no—
864#2455—471no—
865#2449—471no—
866#2449—471no—
867#2443—471no—
868#2437—471no—
869#2425—471no—
870#2419—471no—
871#2418—471no—
872#2412—471no—
873#2410—471no—
874#2405—471no—
875#2325—471no—
876#2322—471no—
877#2318—471no—
878C4×#120—471no—
879C2×#385—471no—
880C2×C47—42no—
881C2×C47—42no—
882C2×C47—81no—
883C2×C47C2×#52511yescharacteristic
884C2×C47C2×#53911yescharacteristic
885C2×C47#345911yescharacteristic
886C2×C47#348411yescharacteristic
887C2×C47#348911yescharacteristic
888C2×C47#351311yescharacteristic
889C2×C47#352011yescharacteristic
890D47—24no—
891D47—24no—
892D47—42no—
893C23×D4—471no—
894C24×C4—471no—
895C24×C4—471no—
896#539—948no—
897C2×#126—471no—
898C2×#126—471no—
899C2×#125—471no—
900C2×#125—471no—
901C2×#123—471no—
902C2×#123—471no—
903C2×#123—471no—
904C2×#123—471no—
905C2×#123—471no—
906C2×#123C2×D4711yescharacteristic, complemented
907C2×C22⋊Q8—471no—
908C2×C22⋊Q8—471no—
909C2×C22⋊Q8—471no—
910C2×C22⋊Q8—471no—
911C2×C22⋊Q8—471no—
912C2×#121—471no—
913C2×#121—471no—
914C2×#120—471no—
915C2×#120—471no—
916C2×C4×D4—471no—
917C2×C4×D4—471no—
918C2×C4×D4—471no—
919C2×C4×D4—471no—
920C2×C4×D4—471no—
921C2×C4×D4—471no—
922C2×C4×D4—471no—
923C2×C4×D4—471no—
924C2×C4×D4—471no—
925C2×C4×D4—471no—
926C2×C4×D4—948no—
927C2×C4×D4C2×D4711yescharacteristic
928C22×C4⋊C4—471no—
929C22×C4⋊C4—471no—
930C22×C4⋊C4—471no—
931C22×C22⋊C4—471no—
932C22×C22⋊C4—471no—
933C22×C22⋊C4—471no—
934C22×C22⋊C4—471no—
935C22×C42—471no—
936#400—471no—
937#399—471no—
938#399—471no—
939#399—471no—
940#398—471no—
941#398—471no—
942#398—471no—
943#398C2×D4711yescharacteristic, complemented
944#397—471no—
945#397—471no—
946#397—471no—
947#397—471no—
948#397—471no—
949#397C2×D4711yescharacteristic, complemented
950#396—471no—
951#396—471no—
952#396C2×D4711yescharacteristic, complemented
953#396C2×D4711yescharacteristic, complemented
954#395—471no—
955#394—471no—
956#394—471no—
957#394—471no—
958#394—471no—
959#394—471no—
960#394—471no—
961#394—471no—
962#394C2×D4711yescharacteristic
963#394C2×D4711yescharacteristic, complemented
964#394C2×D4711yescharacteristic, complemented
965#393—471no—
966#392—471no—
967#392C2×D4711yescharacteristic
968#389—471no—
969#389—471no—
970#389—471no—
971#389—471no—
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388—471no—
979#388C2×D4711yescharacteristic, complemented
980#387—471no—
981#387—471no—
982#387—471no—
983#387—471no—
984#387—471no—
985#387—471no—
986#387—471no—
987#387—471no—
988#387—471no—
989#387C2×D4711yescharacteristic, complemented
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#386—471no—
1001#386—471no—
1002#386—471no—
1003#386C2×D4711yescharacteristic, complemented
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#385—471no—
1009#385—471no—
1010#385—471no—
1011#385—471no—
1012#385—471no—
1013#385—471no—
1014#385—471no—
1015#385—471no—
1016#385—471no—
1017#385—471no—
1018#385—471no—
1019#385—471no—
1020#385—471no—
1021#385—471no—
1022#385—471no—
1023#385—471no—
1024#385—471no—
1025#385—471no—
1026#385—471no—
1027#385—471no—
1028#385—471no—
1029#385C2×D4711yescharacteristic, complemented
1030#383—471no—
1031#382—471no—
1032#381—471no—
1033#381—471no—
1034#381—471no—
1035#380—471no—
1036#380—471no—
1037#380—471no—
1038#380—471no—
1039#380—471no—
1040#380C2×D4711yescharacteristic, complemented
1041#379—471no—
1042#379—471no—
1043#379—471no—
1044#379—471no—
1045C4×C22⋊C4—471no—
1046C4×C22⋊C4—471no—
1047C4×C22⋊C4—471no—
1048C2×#95—471no—
1049C2×#95—471no—
1050C47#3499111yescharacteristic, complemented, Sylow
1051C25—471no—
1052C25—471no—
1053C22×Q8—471no—
1054C22×D4—471no—
1055C22×D4—471no—
1056C22×D4—471no—
1057C22×D4—471no—
1058C22×D4—471no—
1059C22×D4—471no—
1060C22×D4—944no—
1061C22×D4—944no—
1062C22×D4—944no—
1063C22×D4C22×D4711yescharacteristic
1064C22×D4C22×D4711yescharacteristic
1065C22×D4C22×D4711yescharacteristic
1066C23×C4—471no—
1067C23×C4—471no—
1068C23×C4—471no—
1069C23×C4—471no—
1070C23×C4—471no—
1071C23×C4—471no—
1072C23×C4—471no—
1073C23×C4—471no—
1074C23×C4—471no—
1075C23×C4—471no—
1076C23×C4—471no—
1077C23×C4—471no—
1078C23×C4—471no—
1079C23×C4—471no—
1080C23×C4—471no—
1081C23×C4—471no—
1082C23×C4—944no—
1083C23×C4—944no—
1084C23×C4—1882no—
1085C23×C4—1882no—
1086C23×C4—1882no—
1087C23×C4—1882no—
1088C23×C4C22×D4711yescharacteristic
1089C23×C4C22×D4711yescharacteristic
1090#126—944no—
1091#126—944no—
1092#125—944no—
1093#125—944no—
1094#123—24no—
1095#123—944no—
1096#123—944no—
1097#123—944no—
1098#123—944no—
1099#123—1882no—
1100C22⋊Q8—944no—
1101C22⋊Q8—944no—
1102C22⋊Q8—944no—
1103C22⋊Q8—1882no—
1104C22⋊Q8—1882no—
1105#121—944no—
1106#121—944no—
1107#120—944no—
1108#120—1882no—
1109C4×D4—24no—
1110C4×D4—478no—
1111C4×D4—944no—
1112C4×D4—944no—
1113C4×D4—944no—
1114C4×D4—944no—
1115C4×D4—944no—
1116C4×D4—944no—
1117C4×D4—944no—
1118C4×D4—1882no—
1119C4×D4—1882no—
1120C2×C4⋊C4—471no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4—471no—
1123C2×C4⋊C4—471no—
1124C2×C4⋊C4—471no—
1125C2×C4⋊C4—471no—
1126C2×C4⋊C4—471no—
1127C2×C4⋊C4—471no—
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—471no—
1144C2×C4⋊C4—471no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—944no—
1147C2×C4⋊C4—944no—
1148C2×C4⋊C4—1882no—
1149C2×C4⋊C4C22×D4711yescharacteristic
1150C2×C4⋊C4C22×D4711yescharacteristic
1151C2×C4⋊C4C22×D4711yescharacteristic
1152C2×C4⋊C4C22×D4711yescharacteristic
1153C2×C4⋊C4C22×D4711yescharacteristic
1154C2×C4⋊C4C22×D4711yescharacteristic
1155C2×C4⋊C4C22×D4711yescharacteristic
1156C2×C4⋊C4C22×D4711yescharacteristic
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—944no—
1193C2×C22⋊C4—944no—
1194C2×C22⋊C4—944no—
1195C2×C22⋊C4—1882no—
1196C2×C22⋊C4C22×D4711yescharacteristic
1197C2×C22⋊C4C22×D4711yescharacteristic
1198C2×C22⋊C4C22×D4711yescharacteristic
1199C2×C22⋊C4C22×D4711yescharacteristic
1200C2×C22⋊C4C22×D4711yescharacteristic
1201C2×C22⋊C4C22×D4711yescharacteristic
1202C2×C22⋊C4C22×D4711yescharacteristic
1203C2×C22⋊C4C22×D4711yescharacteristic
1204C2×C22⋊C4C22×D4711yescharacteristic
1205C2×C22⋊C4C22×D4711yescharacteristic
1206C2×C22⋊C4C22×D4711yescharacteristic
1207C2×C22⋊C4C22×D4711yescharacteristic
1208C2×C22⋊C4C22×D4711yescharacteristic
1209C2×C42—471no—
1210C2×C42—471no—
1211C2×C42—471no—
1212C2×C42—471no—
1213C2×C42—471no—
1214C2×C42—471no—
1215C2×C42—944no—
1216C2×C42C22×D4711yescharacteristic
1217#95—471no—
1218#95—471no—
1219#95—471no—
1220#95—471no—
1221#95—471no—
1222#95—471no—
1223#95—471no—
1224#95—471no—
1225#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
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#95C22×D4711yescharacteristic
1246#95C22×D4711yescharacteristic
1247#95C22×D4711yescharacteristic
1248#95C22×D4711yescharacteristic
1249#95C22×D4711yescharacteristic
1250#95C22×D4711yescharacteristic
1251#95C22×D4711yescharacteristic
1252#95C22×D4711yescharacteristic
1253C24—471no—
1254C24—471no—
1255C24—471no—
1256C24—474no—
1257C24—942no—
1258C24—942no—
1259C24—942no—
1260C24—942no—
1261C24—942no—
1262C24—942no—
1263C24—942no—
1264C24—942no—
1265C24—942no—
1266C24—1881no—
1267C24—1881no—
1268C24—1881no—
1269C24—1881no—
1270C24C23×D4711yescharacteristic
1271C24C23×D4711yescharacteristic
1272C24C23×D4711yescharacteristic
1273C2×Q8—942no—
1274C2×Q8—1881no—
1275C2×Q8—1881no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—474no—
1286C2×D4—474no—
1287C2×D4—942no—
1288C2×D4—942no—
1289C2×D4—942no—
1290C2×D4—9432no—
1291C2×D4—942no—
1292C2×D4—942no—
1293C2×D4—942no—
1294C2×D4—942no—
1295C2×D4—942no—
1296C2×D4—942no—
1297C2×D4—942no—
1298C2×D4—942no—
1299C2×D4—942no—
1300C2×D4—942no—
1301C2×D4—942no—
1302C2×D4—1881no—
1303C2×D4—1881no—
1304C22×C4—22no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—471no—
1310C22×C4—471no—
1311C22×C4—471no—
1312C22×C4—471no—
1313C22×C4—474no—
1314C22×C4—471no—
1315C22×C4—471no—
1316C22×C4—471no—
1317C22×C4—471no—
1318C22×C4—471no—
1319C22×C4—471no—
1320C22×C4—471no—
1321C22×C4—471no—
1322C22×C4—471no—
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—942no—
1342C22×C4—942no—
1343C22×C4—942no—
1344C22×C4—942no—
1345C22×C4—942no—
1346C22×C4—942no—
1347C22×C4—942no—
1348C22×C4—942no—
1349C22×C4—942no—
1350C22×C4—942no—
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—18816no—
1367C22×C4—18816no—
1368C22×C4—1881no—
1369C22×C4—1881no—
1370C22×C4—1881no—
1371C22×C4—1881no—
1372C22×C4D4×D4714yes—
1373C22×C4C23×D4711yescharacteristic
1374C22×C4C23×D4711yescharacteristic
1375C22×C4C23×D4711yescharacteristic
1376C22×C4C23×D4711yescharacteristic
1377C22×C4C23×D4711yescharacteristic
1378C22×C4C23×D4711yescharacteristic
1379C22×C4C23×D4711yescharacteristic
1380C22×C4C23×D4711yescharacteristic
1381C22×C4C23×D4711yescharacteristic
1382C22×C4C23×D4711yescharacteristic
1383C22×C4C23×D4711yescharacteristic
1384C22×C4C23×D4711yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—474no—
1394C4⋊C4—942no—
1395C4⋊C4—942no—
1396C4⋊C4—942no—
1397C4⋊C4—942no—
1398C4⋊C4—942no—
1399C4⋊C4—942no—
1400C4⋊C4—942no—
1401C4⋊C4—942no—
1402C4⋊C4—942no—
1403C4⋊C4—942no—
1404C4⋊C4—942no—
1405C4⋊C4—942no—
1406C4⋊C4—942no—
1407C4⋊C4—942no—
1408C4⋊C4—942no—
1409C4⋊C4—942no—
1410C4⋊C4—942no—
1411C4⋊C4—942no—
1412C4⋊C4—1881no—
1413C4⋊C4—1881no—
1414C4⋊C4—1881no—
1415C4⋊C4—1881no—
1416C4⋊C4—1881no—
1417C4⋊C4—1881no—
1418C4⋊C4—1881no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—474no—
1433C22⋊C4—474no—
1434C22⋊C4—942no—
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—942no—
1447C22⋊C4—942no—
1448C22⋊C4—942no—
1449C22⋊C4—942no—
1450C22⋊C4—942no—
1451C22⋊C4—942no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—942no—
1455C22⋊C4—942no—
1456C22⋊C4—942no—
1457C22⋊C4—942no—
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—
1467C42—22no—
1468C42—474no—
1469C42—942no—
1470C42—942no—
1471C42—942no—
1472C42—1881no—
1473C42—1881no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—472no—
1494C23—472no—
1495C23—472no—
1496C23—472no—
1497C23—472no—
1498C23—472no—
1499C23—472no—
1500C23—948no—
1501C23—948no—
1502C23—948no—
1503C23—941no—
1504C23—941no—
1505C23—941no—
1506C23—941no—
1507C23—941no—
1508C23—941no—
1509C23—941no—
1510C23—941no—
1511C23—941no—
1512C23—941no—
1513C23—941no—
1514C23—941no—
1515C23—941no—
1516C23—941no—
1517C23—1884no—
1518C23—1884no—
1519C23—1884no—
1520C23—1884no—
1521C23—1884no—
1522C23—1884no—
1523C23—1884no—
1524C23—1884no—
1525C23—1884no—
1526C23—1884no—
1527C23—1884no—
1528C23C2×D4×D4712yes—
1529C23#41×D4712yes—
1530C23C24×D4711yescharacteristic
1531Q8—3762no—
1532D4—28no—
1533D4—44no—
1534D4—82no—
1535D4—948no—
1536D4—948no—
1537D4—948no—
1538D4—3762no—
1539D4—1884no—
1540D4—1884no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—472no—
1577C2×C4—472no—
1578C2×C4—472no—
1579C2×C4—472no—
1580C2×C4—948no—
1581C2×C4—948no—
1582C2×C4—941no—
1583C2×C4—941no—
1584C2×C4—941no—
1585C2×C4—941no—
1586C2×C4—941no—
1587C2×C4—941no—
1588C2×C4—941no—
1589C2×C4—941no—
1590C2×C4—941no—
1591C2×C4—941no—
1592C2×C4—941no—
1593C2×C4—941no—
1594C2×C4—941no—
1595C2×C4—941no—
1596C2×C4—941no—
1597C2×C4—941no—
1598C2×C4—941no—
1599C2×C4—941no—
1600C2×C4—941no—
1601C2×C4—941no—
1602C2×C4—941no—
1603C2×C4—941no—
1604C2×C4—941no—
1605C2×C4—941no—
1606C2×C4—941no—
1607C2×C4—941no—
1608C2×C4—941no—
1609C2×C4—941no—
1610C2×C4—941no—
1611C2×C4—941no—
1612C2×C4—941no—
1613C2×C4—941no—
1614C2×C4—941no—
1615C2×C4—941no—
1616C2×C4—941no—
1617C2×C4—3762no—
1618C2×C4—3762no—
1619C2×C4—3762no—
1620C2×C4—1884no—
1621C2×C4—1884no—
1622C2×C4—1884no—
1623C2×C4—1884no—
1624C2×C4—1884no—
1625C2×C4—1884no—
1626C2×C4—1884no—
1627C2×C4—1884no—
1628C2×C4—1884no—
1629C2×C4—1884no—
1630C2×C4—1884no—
1631C2×C4C2×D4×D4712yes—
1632C2×C4C2×D4×D4712yes—
1633C2×C4#41×D4712yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—474no—
1656C22—474no—
1657C22—942no—
1658C22—942no—
1659C22—942no—
1660C22—942no—
1661C22—942no—
1662C22—942no—
1663C22—942no—
1664C22—942no—
1665C22—942no—
1666C22—942no—
1667C22—942no—
1668C22—942no—
1669C22—942no—
1670C22—942no—
1671C22—942no—
1672C22—18816no—
1673C22—18816no—
1674C22—1881no—
1675C22—1881no—
1676C22—1881no—
1677C22—1881no—
1678C22C22×D4×D4711yescharacteristic
1679C22C2×#41×D4711yescharacteristic
1680C22C2×#41×D4711yescharacteristic
1681C22H(5,𝔽2)×D4711yescharacteristic
1682C22H(5,𝔽2)×D4711yescharacteristic
1683C222−1+4×D4711yescharacteristic
1684C22#1568995811yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—942no—
1698C4—942no—
1699C4—942no—
1700C4—942no—
1701C4—1881no—
1702C4—1881no—
1703C4—1881no—
1704C4—1881no—
1705C4—1881no—
1706C4—1881no—
1707C4—1881no—
1708C4—1881no—
1709C4—1881no—
1710C2—42no—
1711C2—42no—
1712C2—81no—
1713C2—944no—
1714C2—944no—
1715C2—1882no—
1716C2#525×D4711yescharacteristic
1717C2#539×D4711yescharacteristic
1718C2#2025679911yescharacteristic
1719C2#2025702011yescharacteristic
1720C2#2025706311yescharacteristic
1721C2#2025732611yescharacteristic
1722C2#2025743511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2630C2
prime radical#20246755C2
hypercenter#2630D47
hypocenterC47#34991
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2630

Complements

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

NH ≅ G/Ntype
1. C2×#15689716C2semidirect
2. C2×C4×D4×D47C2semidirect
3. #20251702C2semidirect
4. #20251695C2semidirect
5. #20251677C2semidirect
6. #20251676C2semidirect
7. #20249305C2semidirect
8. #20249289C2semidirect
9. #20249260C2semidirect
10. #20247629C2semidirect
11. #20247532C2semidirect
12. #20247419C2semidirect
13. #20247380C2semidirect
14. #20247343C2semidirect
15. #20247264C2semidirect
16. #20247198C2semidirect
17. #20247192C2semidirect
18. #20247116C2semidirect
19. #20247050C2semidirect
20. #20246934C2semidirect
21. #20246858C2semidirect
22. #20246843C2semidirect
23. #20246779C2semidirect
25. #20246710C2semidirect
26. #20246092C2semidirect
27. #20246061C2semidirect
28. #20246023C2semidirect
29. #20245893C2semidirect
30. #385×D47C2semidirect
31. C47×#2630C2semidirect
36. C2×#13094017C22semidirect
37. C2×#13094017C22semidirect
38. C2×#13094015C22semidirect
39. C2×#13094014C22semidirect
42. C2×#13094006C22semidirect
43. C2×#13094005C22semidirect
44. C2×#13094005C22semidirect
46. C2×#13094004C22semidirect
47. C2×#13094003C22semidirect
48. C2×#13094002C22semidirect
49. C2×#13094001C22semidirect
56. C2×D4×Dic47C22semidirect
63. C2×(C22⋊D47)⋊C4C22semidirect
66. C2×C4⋊C4×D47C22semidirect
67. C2×C4⋊C4×D47C22semidirect
73. #15689065C22semidirect
74. #15689059C22semidirect
75. #15689059C22semidirect
76. #15689058C22semidirect
77. #15689057C22semidirect
78. #15689056C22semidirect
79. #15689053C22semidirect
80. #15689052C22semidirect
81. #15689051C22semidirect
82. #15689051C22semidirect
83. #15689051C22semidirect
84. #15689048C22semidirect
85. #15689047C22semidirect
86. #15689046C22semidirect
87. #15689043C22semidirect
91. #15689038C22semidirect
94. #15689037C22semidirect
95. #15689035C22semidirect
97. #15689022C22semidirect
98. #15689020C22semidirect
99. #15689020C22semidirect
100. #15689018C22semidirect
101. #15689017C22semidirect
102. #15689017C22semidirect
103. #15689017C22semidirect
104. #15689016C22semidirect
105. #15689015C22semidirect
106. #15689013C22semidirect
107. #15689012C22semidirect
108. #15689010C22semidirect
109. #15689010C22semidirect
110. #15689009C22semidirect
111. #15689007C22semidirect
112. #15689007C22semidirect
113. #15689006C22semidirect
114. #15689006C22semidirect
115. #15689004C22semidirect
116. #15689004C22semidirect
119. #15689000C22semidirect
126. #15688999C22semidirect
127. #15688999C22semidirect
128. #15688999C22semidirect
129. #15688999C22semidirect
130. #15688998C22semidirect
131. #15688998C22semidirect
132. #15688998C22semidirect
133. #15688998C22semidirect
139. #15688997C22semidirect
140. #15688997C22semidirect
141. #15688997C22semidirect
142. #15688997C22semidirect
143. #15688996C22semidirect
144. #15688996C22semidirect
145. #15688995C22semidirect
151. #15688994C22semidirect
152. #15688994C22semidirect
153. #15688994C22semidirect
154. #15688994C22semidirect
155. #15688990C22semidirect
156. #15688987C22semidirect
157. #15688986C22semidirect
158. #15688985C22semidirect
159. #15688984C22semidirect
163. #15688980C22semidirect
164. #15688980C22semidirect
169. C22⋊C4×Dic47C22semidirect
171. #15688970C22semidirect
172. #95×D47C22semidirect
173. #95×D47C22semidirect
174. C2×#123×C47C22semidirect
176. C47×#398C22semidirect
177. C47×#397C22semidirect
178. C47×#396C22semidirect
179. C47×#396C22semidirect
181. C47×#394C22semidirect
182. C47×#394C22semidirect
184. C47×#388C22semidirect
185. C47×#387C22semidirect
186. C47×#386C22semidirect
187. C47×#385C22semidirect
188. C47×#380C22semidirect
246. C4×C22⋊D47D4semidirect
823. C2×D47#539semidirect
858. #2630D47semidirect
906. C2×#123C2×D47semidirect
943. #398C2×D47semidirect
949. #397C2×D47semidirect
952. #396C2×D47semidirect
953. #396C2×D47semidirect
963. #394C2×D47semidirect
964. #394C2×D47semidirect
979. #388C2×D47semidirect
989. #387C2×D47semidirect
1003. #386C2×D47semidirect
1029. #385C2×D47semidirect
1040. #380C2×D47semidirect
1050. C47#34991semidirect

Maximal subgroups

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

subgroupindex
C2×#156897162
C2×C4×D4×D472
#202517022
#202516952
#202516772
#202516762
#202493052
#202492892
#202492602
#202476292
#202475322
#202474192
#202473802
#202473432
#202472642
#202471982
#202471922
#202471162
#202470502
#202469342
#202468582
#202468432
#202467792
#202467552
#202467102
#202460922
#202460612
#202460232
#202458932
#385×D472
C47×#26302
#3499147