Finite Group Databasebeta

← #26389165

Subgroups — #26389165

Order 12032.

2642 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689709C211yesmaximal, characteristic, complemented
2C2×#15689705C211yesmaximal, characteristic, complemented
3#20251688C211yesmaximal, characteristic, complemented
4#20251686C211yesmaximal, characteristic, complemented
5#20251669C211yesmaximal, characteristic, complemented
6#20251667C211yesmaximal, characteristic, complemented
7#20249503C211yesmaximal, characteristic, complemented
8#20249489C211yesmaximal, characteristic, complemented
9#20249127C211yesmaximal, characteristic, complemented
10#20249121C211yesmaximal, characteristic, complemented
11#20248461C211yesmaximal, characteristic, complemented
12#20248460C211yesmaximal, characteristic, complemented
13#20248458C211yesmaximal, characteristic, complemented
14#20248458C211yesmaximal, characteristic, complemented
15#20248437C211yesmaximal, characteristic, complemented
16#20248436C211yesmaximal, characteristic, complemented
17#20248429C211yesmaximal, characteristic, complemented
18#20248426C211yesmaximal, characteristic, complemented
19#20248095C211yesmaximal, characteristic, complemented
20#20248093C211yesmaximal, characteristic, complemented
21#20248091C211yesmaximal, characteristic, complemented
22#20248089C211yesmaximal, characteristic, complemented
23#20247400C211yesmaximal, characteristic, complemented
24#20247390C211yesmaximal, characteristic, complemented
25#20247388C211yesmaximal, characteristic, complemented
26#20246090C211yesmaximal, characteristic, complemented
27#20246085C211yesmaximal, characteristic, complemented
28#20245900C211yesmaximal, characteristic, complemented
29C4×#13093995C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2464C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33#15689709—28no—
34#15689705—28no—
35C2×#13094019C2211yescharacteristic
36C2×#13094019C2211yescharacteristic
37C2×#13094017C2211yescharacteristic
38C2×#13094017C2211yescharacteristic
39C2×#13094011C2211yescharacteristic
40C2×#13094011C2211yescharacteristic, complemented
41C2×#13094010C2211yescharacteristic
42C2×#13094010C2211yescharacteristic
43C2×#13094010C2211yescharacteristic
44C2×#13094010C2211yescharacteristic, complemented
45C2×#13094009C2211yescharacteristic
46C2×#13094007C2211yescharacteristic
47C2×#13094005C2211yescharacteristic
48C2×#13094004C2211yescharacteristic
49C2×#13094002C2211yescharacteristic
50C2×#13093998C2211yescharacteristic
51C2×#13093997C2211yescharacteristic
52C2×#13093997C2211yescharacteristic
53C2×#13093997C2211yescharacteristic
54C2×#13093997C2211yescharacteristic
55C2×#13093996C2211yescharacteristic
56C2×#13093996C2211yescharacteristic
57C2×#13093995C2211yescharacteristic
58C2×#13093995C2211yescharacteristic
59C2×#13093995C2211yescharacteristic
60C2×#13093995C2211yescharacteristic
61C2×#13093995C2211yescharacteristic
62C2×#13093994C2211yescharacteristic
63C2×#13093992C2211yescharacteristic
64C2×#13093992C2211yescharacteristic
65C2×#13093992C2211yescharacteristic
66C2×#13093986C2211yescharacteristic
67C2×C4×C22⋊D47C2211yescharacteristic
68C2×C4×C22⋊D47C2211yescharacteristic
69C2×(C22⋊D47)⋊C4C2211yescharacteristic
70C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
71C2×C22⋊C4×D47C2211yescharacteristic
72C2×C22⋊C4×D47C2211yescharacteristic
73C2×C42×D47C2211yescharacteristic
74C2×C42×D47C2211yescharacteristic
75#15689060C2211yescharacteristic, complemented
76#15689059C2211yescharacteristic, complemented
77#15689059C2211yescharacteristic, complemented
78#15689059C2211yescharacteristic, complemented
79#15689056C2211yescharacteristic, complemented
80#15689056C2211yescharacteristic, complemented
81#15689054C2211yescharacteristic, complemented
82#15689052C2211yescharacteristic
83#15689051C2211yescharacteristic
84#15689050C2211yescharacteristic
85#15689048C2211yescharacteristic
86#15689044C2211yescharacteristic, complemented
87#15689044C2211yescharacteristic, complemented
88#15689044C2211yescharacteristic, complemented
89#15689043C2211yescharacteristic, complemented
90#15689040C2211yescharacteristic
91#15689039C2211yescharacteristic
92#15689039C2211yescharacteristic
93#15689038C2211yescharacteristic
94#15689038C2211yescharacteristic
95#15689037C2211yescharacteristic
96#15689037C2211yescharacteristic
97#15689032C2211yescharacteristic
98#15689031C2211yescharacteristic
99#15689031C2211yescharacteristic
100#15689031C2211yescharacteristic, complemented
101#15689031C2211yescharacteristic, complemented
102#15689031C2211yescharacteristic, complemented
103#15689029C2211yescharacteristic, complemented
104#15689027C2211yescharacteristic, complemented
105#15689026C2211yescharacteristic, complemented
106#15689023C2211yescharacteristic, complemented
107#15689023C2211yescharacteristic, complemented
108#15689019C2211yescharacteristic, complemented
109#15689018C2211yescharacteristic, complemented
110#15689017C2211yescharacteristic, complemented
111#15689017C2211yescharacteristic, complemented
112#15689016C2211yescharacteristic, complemented
113#15689016C2211yescharacteristic, complemented
114#15689016C2211yescharacteristic, complemented
115#15689016C2211yescharacteristic, complemented
116#15689016C2211yescharacteristic, complemented
117#15689015C2211yescharacteristic, complemented
118#15689014C2211yescharacteristic, complemented
119#15689014C2211yescharacteristic, complemented
120#15689013C2211yescharacteristic, complemented
121#15689011C2211yescharacteristic, complemented
122#15689011C2211yescharacteristic, complemented
123#15689011C2211yescharacteristic, complemented
124#15689008C2211yescharacteristic, complemented
125#15689006C2211yescharacteristic, complemented
126#15689005C2211yescharacteristic, complemented
127#15689004C2211yescharacteristic, complemented
128#15689003C2211yescharacteristic
129#15689003C2211yescharacteristic
130#15689003C2211yescharacteristic, complemented
131#15689002C2211yescharacteristic
132#15689002C2211yescharacteristic, complemented
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15688999C2211yescharacteristic
137#15688999C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic, complemented
146#15688996C2211yescharacteristic, complemented
147#15688995C2211yescharacteristic, complemented
148#15688994C2211yescharacteristic, complemented
149#15688988C2211yescharacteristic, complemented
150#15688987C2211yescharacteristic, complemented
151#15688983C2211yescharacteristic
152#15688982C2211yescharacteristic
153#15688982C2211yescharacteristic
154#15688982C2211yescharacteristic
155#15688981C2211yescharacteristic
156#15688980C2211yescharacteristic
157#15688980C2211yescharacteristic
158#15688980C2211yescharacteristic
159C4×C4⋊Dic47C2211yescharacteristic, complemented
160#15688974C2211yescharacteristic, complemented
161C22⋊C4×Dic47C2211yescharacteristic
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic, complemented
164C4×(C2×D47)⋊C4C2211yescharacteristic
165C4×(C2×D47)⋊C4C2211yescharacteristic
166C4×C22⋊Dic47C2211yescharacteristic
167C4×C22⋊Dic47C2211yescharacteristic, complemented
168C4×C22⋊Dic47C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic
170#15688970C2211yescharacteristic
171#15688970C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic
173#95×D47C2211yescharacteristic
174C2×#123×C47C2211yescharacteristic
175C2×#121×C47C2211yescharacteristic
176C2×#121×C47C2211yescharacteristic
177C2×C4×D4×C47C2211yescharacteristic, complemented
178C47×#398C2211yescharacteristic, complemented
179C47×#394C2211yescharacteristic
180C47×#392C2211yescharacteristic
181C47×#392C2211yescharacteristic, complemented
182C47×#390C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#388C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic
186C47×#386C2211yescharacteristic, complemented
187C47×#385C2211yescharacteristic, complemented
188C4×C22⋊C4×C47C2211yescharacteristic
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C22×C4×D47—24no—
207C22×C4×D47—42no—
208C22×C4×D47—42no—
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218#13094019—24no—
219#13094019—24no—
220#13094017—24no—
221#13094017—24no—
222#13094011—24no—
223#13094011—42no—
224#13094010—24no—
225#13094010—24no—
226#13094010—24no—
227#13094010—42no—
228#13094009—24no—
229#13094007—24no—
230#13094005—24no—
231#13094004—24no—
232#13094002—24no—
233#13093998—24no—
234#13093997—24no—
235#13093997—24no—
236#13093997—24no—
237#13093997—42no—
238#13093996—24no—
239#13093996—42no—
240#13093995—24no—
241#13093995—24no—
242#13093995—24no—
243#13093995—24no—
244#13093995—42no—
245#13093994—24no—
246#13093992—24no—
247#13093992—24no—
248#13093992—24no—
249#13093986—24no—
250C4×C22⋊D47—24no—
251C4×C22⋊D47—24no—
252(C22⋊D47)⋊C4—24no—
253(C22⋊D47)⋊C4—42no—
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
259C2×C4⋊Dic47C2311yescharacteristic
260C2×C4⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C22⋊C4×D47—24no—
313C22⋊C4×D47D418yescomplemented
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C42×D47—42no—
325C42×D47—42no—
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
352C22×D4×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C22×D4×C47C2311yescharacteristic
357C22×D4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359C23×C4×C47C2311yescharacteristic
360C23×C4×C47C2311yescharacteristic
361#123×C47—24no—
362#121×C47—24no—
363#121×C47—42no—
364C4×D4×C47—42no—
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
383C2×C42×C47C2311yescharacteristic
384C2×C42×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
394C24×C47C2411yescharacteristic
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—41no—
398C23×D47—41no—
399C23×D47—41no—
400C23×D47—41no—
401C23×D47C2×D414yes—
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C23×D47C2411yescharacteristic
405C2×D4×C47—22no—
406C2×D4×C47—22no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—22no—
410C2×D4×C47—22no—
411C2×D4×C47—41no—
412C2×D4×C47—41no—
413C2×D4×C47—41no—
414C2×D4×C47—41no—
415C2×D4×C47—41no—
416C2×D4×C47—41no—
417C2×D4×C47—41no—
418C2×D4×C47—41no—
419C2×D4×C47—41no—
420C2×D4×C47—41no—
421C2×D4×C47—41no—
422C2×D4×C47—41no—
423C22×C4×C47—22no—
424C22×C4×C47—22no—
425C22×C4×C47—22no—
426C22×C4×C47—22no—
427C22×C4×C47—41no—
428C22×C4×C47—41no—
429C22×C4×C47—41no—
430C22×C4×C47—41no—
431C22×C4×C47—41no—
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
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—22no—
451C2×C22⋊D47—22no—
452C2×C22⋊D47—22no—
453C2×C22⋊D47—22no—
454C2×C22⋊D47—22no—
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—41no—
460C2×C22⋊D47—41no—
461C2×C22⋊D47—41no—
462C2×C22⋊D47—41no—
463C2×C22⋊D47—41no—
464C2×C22⋊D47—41no—
465C2×C22⋊D47—41no—
466C2×C22⋊D47—41no—
467C2×C22⋊D47—41no—
468C2×C22⋊D47—41no—
469C2×C22⋊D47—41no—
470C2×C22⋊D47—41no—
471C2×C22⋊D47—41no—
472C2×C22⋊D47—41no—
473C22×Dic47—22no—
474C22×Dic47—22no—
475C22×Dic47—22no—
476C22×Dic47—41no—
477C22×Dic47—41no—
478C22×Dic47—41no—
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2411yescharacteristic
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483C22×Dic47C2411yescharacteristic
484C22×Dic47C2411yescharacteristic
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2411yescharacteristic
487C22×Dic47C2411yescharacteristic
488C22×Dic47C2411yescharacteristic
489C22×Dic47C2411yescharacteristic
490C22×Dic47C2411yescharacteristic
491C22×Dic47C2411yescharacteristic
492C2×D188—22no—
493C2×D188—22no—
494C2×D188—22no—
495C2×D188—22no—
496C2×D188—41no—
497C2×D188—41no—
498C2×C4×D47—22no—
499C2×C4×D47—22no—
500C2×C4×D47—22no—
501C2×C4×D47—22no—
502C2×C4×D47—22no—
503C2×C4×D47—22no—
504C2×C4×D47—22no—
505C2×C4×D47—22no—
506C2×C4×D47—22no—
507C2×C4×D47—416no—
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×D47—41no—
520C2×C4×D47—41no—
521C2×C4×D47—41no—
522C2×C4×D47C2×D414yes—
523C2×C4×D47C2×D414yes—
524C2×C4×D47#4114yes—
525C2×C4×D47#4114yes—
526C2×Dic94—22no—
527C2×Dic94—22no—
528C2×Dic94—41no—
529C2×Dic94—41no—
530C2×Dic94—41no—
531C2×Dic94—41no—
532C4⋊C4×C47—22no—
533C4⋊C4×C47—22no—
534C4⋊C4×C47—22no—
535C4⋊C4×C47—41no—
536C4⋊C4×C47—41no—
537C22⋊C4×C47—22no—
538C22⋊C4×C47—22no—
539C22⋊C4×C47—22no—
540C22⋊C4×C47—22no—
541C22⋊C4×C47—22no—
542C22⋊C4×C47—22no—
543C22⋊C4×C47—22no—
544C22⋊C4×C47—22no—
545C22⋊C4×C47—22no—
546C22⋊C4×C47—41no—
547C22⋊C4×C47—41no—
548C22⋊C4×C47—41no—
549C22⋊C4×C47C2×D414yes—
550C42×C47—22no—
551C42×C47—41no—
552C22⋊Dic47—22no—
553C22⋊Dic47—22no—
554C22⋊Dic47—22no—
555C22⋊Dic47—22no—
556C22⋊Dic47—22no—
557C22⋊Dic47—22no—
558C22⋊Dic47—22no—
559C22⋊Dic47—22no—
560C22⋊Dic47—22no—
561C22⋊Dic47—22no—
562C22⋊Dic47—22no—
563C22⋊Dic47—22no—
564C22⋊Dic47—22no—
565C22⋊Dic47—22no—
566C22⋊Dic47—22no—
567C22⋊Dic47—41no—
568C22⋊Dic47—41no—
569C22⋊Dic47—41no—
570C22⋊Dic47C2×D414yes—
571(C2×D47)⋊C4—22no—
572(C2×D47)⋊C4—22no—
573(C2×D47)⋊C4—22no—
574(C2×D47)⋊C4—22no—
575(C2×D47)⋊C4—22no—
576(C2×D47)⋊C4—22no—
577(C2×D47)⋊C4—22no—
578(C2×D47)⋊C4—22no—
579(C2×D47)⋊C4—22no—
580(C2×D47)⋊C4—22no—
581(C2×D47)⋊C4—22no—
582(C2×D47)⋊C4—22no—
583(C2×D47)⋊C4—22no—
584(C2×D47)⋊C4—22no—
585(C2×D47)⋊C4—22no—
586(C2×D47)⋊C4—22no—
587(C2×D47)⋊C4—41no—
588(C2×D47)⋊C4—41no—
589(C2×D47)⋊C4C2×D414yes—
590(C2×D47)⋊C4C2×D414yes—
591C4⋊Dic47—22no—
592C4⋊Dic47—22no—
593C4⋊Dic47—22no—
594C4⋊Dic47—22no—
595C4⋊Dic47—22no—
596C4⋊Dic47—41no—
597C4⋊Dic47—41no—
598Dic47⋊C4—22no—
599Dic47⋊C4—22no—
600Dic47⋊C4—22no—
601Dic47⋊C4—22no—
602Dic47⋊C4—22no—
603Dic47⋊C4—22no—
604Dic47⋊C4—22no—
605Dic47⋊C4—22no—
606Dic47⋊C4—41no—
607Dic47⋊C4—41no—
608Dic47⋊C4—41no—
609Dic47⋊C4—41no—
610C4×Dic47—22no—
611C4×Dic47—22no—
612C4×Dic47—22no—
613C4×Dic47—22no—
614C4×Dic47—22no—
615C4×Dic47—22no—
616C4×Dic47—22no—
617C4×Dic47—41no—
618C4×Dic47—41no—
619C4×Dic47—41no—
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×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—21no—
637C23×C47—21no—
638C23×C47—21no—
639C23×C47—21no—
640C23×C47—21no—
641C23×C47—21no—
642C23×C47—21no—
643C23×C47—21no—
644C23×C47—21no—
645C23×C47—21no—
646C23×C47—21no—
647C23×C47C22×D412yes—
648C23×C47C2511yescharacteristic
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—21no—
653C22×D47—21no—
654C22×D47—21no—
655C22×D47—21no—
656C22×D47—21no—
657C22×D47—21no—
658C22×D47—21no—
659C22×D47—28no—
660C22×D47—21no—
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—44no—
668C22×D47—44no—
669C22×D47—44no—
670C22×D47—44no—
671C22×D47—44no—
672C22×D47—44no—
673C22×D47C22×D412yes—
674C22×D47C22×D412yes—
675C22×D47C2×#4112yes—
676C22×D47C2×#4112yes—
677D4×C47—44no—
678D4×C47—82no—
679D4×C47—82no—
680D4×C47—82no—
681D4×C47—82no—
682D4×C47—82no—
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—21no—
706C2×C4×C47—21no—
707C2×C4×C47—21no—
708C2×C4×C47—21no—
709C2×C4×C47—21no—
710C2×C4×C47—21no—
711C2×C4×C47—44no—
712C2×C4×C47—82no—
713C2×C4×C47—82no—
714C2×C4×C47C22×D412yes—
715C2×C4×C47C22×D412yes—
716C2×C4×C47C2×#4112yes—
717C2×C4×C47C2×#4112yes—
718C2×C4×C47H(5,𝔽2)12yes—
719C22⋊D47—44no—
720C22⋊D47—44no—
721C22⋊D47—44no—
722C22⋊D47—44no—
723C22⋊D47—82no—
724C22⋊D47—82no—
725C22⋊D47—82no—
726C22⋊D47—82no—
727C22⋊D47—82no—
728C22⋊D47—82no—
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—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—44no—
764C2×Dic47—82no—
765C2×Dic47C22×D412yes—
766C2×Dic47C22×D412yes—
767C2×Dic47C2×#4112yes—
768C2×Dic47C2×#4112yes—
769C2×Dic47H(5,𝔽2)12yes—
770D188—44no—
771D188—82no—
772C4×D47—28no—
773C4×D47—44no—
774C4×D47—44no—
775C4×D47—44no—
776C4×D47—44no—
777C4×D47—44no—
778C4×D47—44no—
779C4×D47—44no—
780C4×D47—82no—
781Dic94—82no—
782Dic94—82no—
783#35003—471nomaximal, Sylow
784C22×C47—22no—
785C22×C47—22no—
786C22×C47—22no—
787C22×C47—41no—
788C22×C47—41no—
789C22×C47—41no—
790C22×C47—41no—
791C22×C47—41no—
792C22×C47—41no—
793C22×C47—41no—
794C22×C47—41no—
795C22×C47—41no—
796C22×C47—41no—
797C22×C47—41no—
798C22×C47—41no—
799C22×C47—41no—
800C22×C47—41no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47—41no—
808C22×C47—41no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47C23×D411yescharacteristic
813C22×C47C22×#4111yescharacteristic
814C22×C47C22×#4111yescharacteristic
815C22×C47C2×H(5,𝔽2)11yescharacteristic
816C22×C47C2×H(5,𝔽2)11yescharacteristic
817C22×C47#58511yescharacteristic
818C22×C47#58511yescharacteristic
819C2×D47—22no—
820C2×D47—22no—
821C2×D47—22no—
822C2×D47—22no—
823C2×D47—22no—
824C2×D47—22no—
825C2×D47—22no—
826C2×D47—22no—
827C2×D47—22no—
828C2×D47—416no—
829C2×D47—41no—
830C2×D47—41no—
831C2×D47—41no—
832C2×D47—41no—
833C2×D47—41no—
834C2×D47—41no—
835C2×D47—41no—
836C2×D47—41no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47—41no—
840C2×D47#53214yes—
841C4×C47—22no—
842C4×C47—22no—
843C4×C47—22no—
844C4×C47—22no—
845C4×C47—22no—
846C4×C47—41no—
847C4×C47—41no—
848C4×C47—41no—
849C4×C47—41no—
850C4×C47—41no—
851C4×C47—41no—
852Dic47—22no—
853Dic47—22no—
854Dic47—22no—
855Dic47—22no—
856Dic47—22no—
857Dic47—41no—
858Dic47—41no—
859Dic47—41no—
860Dic47—41no—
861Dic47—41no—
862Dic47—41no—
863Dic47—41no—
864Dic47—41no—
865C2×#538—471no—
866C2×#538—471no—
867#2850—471no—
868#2850—471no—
869#2847—471no—
870#2847—471no—
871#2659—471no—
872#2656—471no—
873#2617—471no—
874#2617—471no—
875#2555—471no—
876#2555—471no—
877#2555—471no—
878#2555—471no—
879#2553—471no—
880#2553—471no—
881#2553—471no—
882#2553—471no—
883#2521—471no—
884#2521—471no—
885#2521—471no—
886#2521—471no—
887#2464—471no—
888#2464—471no—
889#2464—471no—
890#2464D4711yescharacteristic, complemented
891#2325—471no—
892#2325—471no—
893C4×#121—471no—
894C4×#121—471no—
895C2×C4×C22⋊C4—471no—
896C2×C47—42no—
897C2×C47—81no—
898C2×C47—81no—
899C2×C47—81no—
900C2×C47C2×#53211yescharacteristic
901C2×C47#345911yescharacteristic
902C2×C47#346011yescharacteristic
903C2×C47#349011yescharacteristic
904C2×C47#349311yescharacteristic
905C2×C47#349611yescharacteristic
906C2×C47#349611yescharacteristic
907D47—24no—
908D47—42no—
909D47—81no—
910C24×C4—471no—
911#538—948no—
912#538—948no—
913C2×#126—471no—
914C2×#126—471no—
915C2×#126—471no—
916C2×#126—471no—
917C2×#124—471no—
918C2×#124—471no—
919C2×#124—471no—
920C2×#124—471no—
921C2×#124—471no—
922C2×#124—471no—
923C2×#123—471no—
924C2×#123—471no—
925C2×#123—471no—
926C2×#123C2×D4711yescharacteristic
927C2×C22⋊Q8—471no—
928C2×C22⋊Q8—471no—
929C2×#121—471no—
930C2×#121—471no—
931C2×#121—471no—
932C2×#121—471no—
933C2×#121—471no—
934C2×#121—471no—
935C2×#121—471no—
936C2×#121—471no—
937C2×#121—471no—
938C2×#121—471no—
939C2×#121—471no—
940C2×#121—471no—
941C2×#121C2×D4711yescharacteristic
942C2×#121C2×D4711yescharacteristic
943C2×#120—471no—
944C2×#120—471no—
945C2×#120—471no—
946C2×#120—471no—
947C2×C4×D4—471no—
948C2×C4×D4—471no—
949C2×C4×D4—471no—
950C2×C4×D4—471no—
951C2×C4×D4—471no—
952C2×C4×D4C2×D4711yescharacteristic, complemented
953C22×C22⋊C4—471no—
954C22×C22⋊C4—471no—
955C22×C42—471no—
956C22×C42—471no—
957#399—471no—
958#399—471no—
959#399—471no—
960#399—471no—
961#398—471no—
962#398—471no—
963#398—471no—
964#398C2×D4711yescharacteristic, complemented
965#397—471no—
966#397—471no—
967#397—471no—
968#397—471no—
969#395—471no—
970#395—471no—
971#395—471no—
972#395—471no—
973#394—471no—
974#394—471no—
975#394—471no—
976#394—471no—
977#394—471no—
978#394—471no—
979#394—471no—
980#394C2×D4711yescharacteristic
981#392—471no—
982#392—471no—
983#392—471no—
984#392—471no—
985#392—471no—
986#392—471no—
987#392C2×D4711yescharacteristic
988#392C2×D4711yescharacteristic, complemented
989#391—471no—
990#391—471no—
991#390—471no—
992#390—471no—
993#390—471no—
994#390C2×D4711yescharacteristic, complemented
995#389—471no—
996#389—471no—
997#388—471no—
998#388—471no—
999#388—471no—
1000#388—471no—
1001#388—471no—
1002#388—471no—
1003#388—471no—
1004#388—471no—
1005#388—471no—
1006#388—471no—
1007#388—471no—
1008#388—471no—
1009#388—471no—
1010#388—471no—
1011#388C2×D4711yescharacteristic, complemented
1012#388C2×D4711yescharacteristic, complemented
1013#387—471no—
1014#387—471no—
1015#387—471no—
1016#387—471no—
1017#386—471no—
1018#386—471no—
1019#386—471no—
1020#386—471no—
1021#386—471no—
1022#386—471no—
1023#386—471no—
1024#386—471no—
1025#386—471no—
1026#386—471no—
1027#386—471no—
1028#386—471no—
1029#386—471no—
1030#386—471no—
1031#386—471no—
1032#386—471no—
1033#386—471no—
1034#386—471no—
1035#386C2×D4711yescharacteristic
1036#386C2×D4711yescharacteristic, complemented
1037#385—471no—
1038#385—471no—
1039#385—471no—
1040#385C2×D4711yescharacteristic, complemented
1041#382—471no—
1042#382—471no—
1043#380—471no—
1044#380—471no—
1045#380—471no—
1046#380—471no—
1047#380—471no—
1048#380—471no—
1049#380—471no—
1050#380—471no—
1051C4×C4⋊C4—471no—
1052C4×C4⋊C4—471no—
1053C4×C22⋊C4—471no—
1054C4×C22⋊C4—471no—
1055C4×C22⋊C4—471no—
1056C4×C22⋊C4—471no—
1057C4×C22⋊C4—471no—
1058C4×C22⋊C4—471no—
1059C4×C22⋊C4—471no—
1060C4×C22⋊C4—471no—
1061C4×C22⋊C4—471no—
1062C4×C22⋊C4—471no—
1063C4×C22⋊C4—471no—
1064C4×C22⋊C4C2×D4711yescharacteristic
1065C2×#95—471no—
1066C2×#95—471no—
1067C47#3500311yescharacteristic, complemented, Sylow
1068C25—471no—
1069C22×Q8—471no—
1070C22×Q8—471no—
1071C22×D4—471no—
1072C22×D4—471no—
1073C22×D4—471no—
1074C22×D4—471no—
1075C22×D4—471no—
1076C22×D4—471no—
1077C22×D4—471no—
1078C22×D4—471no—
1079C22×D4—471no—
1080C22×D4—471no—
1081C22×D4—471no—
1082C22×D4—471no—
1083C22×D4C22×D4711yescharacteristic
1084C22×D4C22×D4711yescharacteristic
1085C22×D4C22×D4711yescharacteristic
1086C22×D4C22×D4711yescharacteristic
1087C22×D4C22×D4711yescharacteristic
1088C22×D4C22×D4711yescharacteristic
1089C23×C4—471no—
1090C23×C4—471no—
1091C23×C4—471no—
1092C23×C4—471no—
1093C23×C4—471no—
1094C23×C4—471no—
1095C23×C4—471no—
1096C23×C4—471no—
1097C23×C4—471no—
1098C23×C4—471no—
1099C23×C4—471no—
1100C23×C4—944no—
1101C23×C4—1882no—
1102C23×C4—1882no—
1103C23×C4C22×D4711yescharacteristic
1104C23×C4C22×D4711yescharacteristic
1105C23×C4C22×D4711yescharacteristic
1106#126—944no—
1107#126—944no—
1108#126—944no—
1109#126—944no—
1110#124—944no—
1111#124—944no—
1112#124—944no—
1113#124—944no—
1114#124—1882no—
1115#124—1882no—
1116#123—24no—
1117#123—944no—
1118#123—944no—
1119#123—944no—
1120C22⋊Q8—944no—
1121C22⋊Q8—944no—
1122#121—24no—
1123#121—42no—
1124#121—944no—
1125#121—944no—
1126#121—944no—
1127#121—944no—
1128#121—944no—
1129#121—944no—
1130#121—944no—
1131#121—944no—
1132#121—944no—
1133#121—1882no—
1134#121—1882no—
1135#121—1882no—
1136#120—944no—
1137#120—944no—
1138#120—944no—
1139#120—944no—
1140C4×D4—42no—
1141C4×D4—944no—
1142C4×D4—944no—
1143C4×D4—944no—
1144C4×D4—944no—
1145C4×D4—1882no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—471no—
1150C2×C4⋊C4—471no—
1151C2×C4⋊C4—471no—
1152C2×C4⋊C4—471no—
1153C2×C4⋊C4—471no—
1154C2×C4⋊C4—471no—
1155C2×C4⋊C4—471no—
1156C2×C4⋊C4—471no—
1157C2×C4⋊C4—471no—
1158C2×C4⋊C4—471no—
1159C2×C4⋊C4—471no—
1160C2×C4⋊C4—471no—
1161C2×C4⋊C4—471no—
1162C2×C4⋊C4—471no—
1163C2×C4⋊C4—471no—
1164C2×C4⋊C4—471no—
1165C2×C4⋊C4C22×D4711yescharacteristic
1166C2×C4⋊C4C22×D4711yescharacteristic
1167C2×C4⋊C4C22×D4711yescharacteristic
1168C2×C4⋊C4C22×D4711yescharacteristic
1169C2×C4⋊C4C22×D4711yescharacteristic
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—478no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—471no—
1193C2×C22⋊C4—471no—
1194C2×C22⋊C4—471no—
1195C2×C22⋊C4—471no—
1196C2×C22⋊C4—471no—
1197C2×C22⋊C4—471no—
1198C2×C22⋊C4—471no—
1199C2×C22⋊C4—471no—
1200C2×C22⋊C4—471no—
1201C2×C22⋊C4—471no—
1202C2×C22⋊C4—471no—
1203C2×C22⋊C4—471no—
1204C2×C22⋊C4—471no—
1205C2×C22⋊C4—471no—
1206C2×C22⋊C4—471no—
1207C2×C22⋊C4—471no—
1208C2×C22⋊C4—471no—
1209C2×C22⋊C4—471no—
1210C2×C22⋊C4—944no—
1211C2×C22⋊C4C22×D4711yescharacteristic
1212C2×C22⋊C4C22×D4711yescharacteristic
1213C2×C22⋊C4C22×D4711yescharacteristic
1214C2×C22⋊C4C22×D4711yescharacteristic
1215C2×C22⋊C4C22×D4711yescharacteristic
1216C2×C22⋊C4C22×D4711yescharacteristic
1217C2×C22⋊C4C22×D4711yescharacteristic
1218C2×C22⋊C4C22×D4711yescharacteristic
1219C2×C22⋊C4C22×D4711yescharacteristic
1220C2×C22⋊C4C22×D4711yescharacteristic
1221C2×C22⋊C4C22×D4711yescharacteristic
1222C2×C22⋊C4C22×D4711yescharacteristic
1223C2×C22⋊C4C22×D4711yescharacteristic
1224C2×C42—471no—
1225C2×C42—471no—
1226C2×C42—471no—
1227C2×C42—471no—
1228C2×C42—471no—
1229C2×C42—471no—
1230C2×C42—471no—
1231C2×C42—471no—
1232C2×C42—471no—
1233C2×C42—471no—
1234C2×C42—1882no—
1235C2×C42—1882no—
1236C2×C42C22×D4711yescharacteristic
1237C2×C42C22×D4711yescharacteristic
1238#95—471no—
1239#95—471no—
1240#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95—471no—
1246#95—471no—
1247#95—471no—
1248#95—471no—
1249#95—471no—
1250#95—471no—
1251#95—471no—
1252#95—471no—
1253#95—471no—
1254#95—471no—
1255#95—471no—
1256#95—471no—
1257#95—471no—
1258#95—471no—
1259#95—471no—
1260#95—471no—
1261#95—471no—
1262#95—471no—
1263#95—471no—
1264#95C22×D4711yescharacteristic
1265#95C22×D4711yescharacteristic
1266#95C22×D4711yescharacteristic
1267#95C22×D4711yescharacteristic
1268#95C22×D4711yescharacteristic
1269#95C22×D4711yescharacteristic
1270C24—471no—
1271C24—471no—
1272C24—474no—
1273C24—471no—
1274C24—942no—
1275C24—942no—
1276C24—1881no—
1277C24—1881no—
1278C24—1881no—
1279C24—1881no—
1280C24C23×D4711yescharacteristic
1281C24C23×D4711yescharacteristic
1282C24C23×D4711yescharacteristic
1283C24C23×D4711yescharacteristic
1284C2×Q8—942no—
1285C2×Q8—942no—
1286C2×Q8—1881no—
1287C2×Q8—1881no—
1288C2×Q8—1881no—
1289C2×Q8—1881no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—942no—
1309C2×D4—942no—
1310C2×D4—942no—
1311C2×D4—942no—
1312C2×D4—942no—
1313C2×D4—942no—
1314C2×D4—942no—
1315C2×D4—942no—
1316C2×D4—942no—
1317C2×D4—942no—
1318C2×D4—942no—
1319C2×D4—942no—
1320C2×D4—942no—
1321C2×D4—942no—
1322C2×D4—942no—
1323C2×D4—942no—
1324C2×D4—942no—
1325C2×D4—942no—
1326C2×D4—942no—
1327C2×D4—942no—
1328C2×D4—1881no—
1329C2×D4—1881no—
1330C2×D4—1881no—
1331C2×D4—1881no—
1332C2×D4—1881no—
1333C2×D4—1881no—
1334C2×D4—1881no—
1335C2×D4—1881no—
1336C2×D4—1881no—
1337C2×D4—1881no—
1338C2×D4—1881no—
1339C2×D4—1881no—
1340C2×D4—1881no—
1341C2×D4—1881no—
1342C2×D4—1881no—
1343C2×D4—1881no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—471no—
1354C22×C4—471no—
1355C22×C4—471no—
1356C22×C4—471no—
1357C22×C4—471no—
1358C22×C4—474no—
1359C22×C4—474no—
1360C22×C4—474no—
1361C22×C4—474no—
1362C22×C4—471no—
1363C22×C4—471no—
1364C22×C4—471no—
1365C22×C4—471no—
1366C22×C4—471no—
1367C22×C4—471no—
1368C22×C4—471no—
1369C22×C4—471no—
1370C22×C4—942no—
1371C22×C4—942no—
1372C22×C4—942no—
1373C22×C4—942no—
1374C22×C4—942no—
1375C22×C4—942no—
1376C22×C4—942no—
1377C22×C4—942no—
1378C22×C4—942no—
1379C22×C4—942no—
1380C22×C4—942no—
1381C22×C4—942no—
1382C22×C4—1881no—
1383C22×C4—1881no—
1384C22×C4—1881no—
1385C22×C4—1881no—
1386C22×C4—1881no—
1387C22×C4—1881no—
1388C22×C4—1881no—
1389C22×C4—1881no—
1390C22×C4—1881no—
1391C22×C4—1881no—
1392C22×C4—1881no—
1393C22×C4—1881no—
1394C22×C4—1881no—
1395C22×C4—1881no—
1396C22×C4—18816no—
1397C22×C4—1881no—
1398C22×C4—1881no—
1399C22×C4—1881no—
1400C22×C4C23×D4711yescharacteristic
1401C22×C4C23×D4711yescharacteristic
1402C22×C4C23×D4711yescharacteristic
1403C22×C4C23×D4711yescharacteristic
1404C22×C4C23×D4711yescharacteristic
1405C22×C4C23×D4711yescharacteristic
1406C22×C4C23×D4711yescharacteristic
1407C22×C4C23×D4711yescharacteristic
1408C22×C4C23×D4711yescharacteristic
1409C22×C4C23×D4711yescharacteristic
1410C22×C4C23×D4711yescharacteristic
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—942no—
1417C4⋊C4—942no—
1418C4⋊C4—942no—
1419C4⋊C4—942no—
1420C4⋊C4—942no—
1421C4⋊C4—942no—
1422C4⋊C4—942no—
1423C4⋊C4—942no—
1424C4⋊C4—942no—
1425C4⋊C4—942no—
1426C4⋊C4—942no—
1427C4⋊C4—942no—
1428C4⋊C4—942no—
1429C4⋊C4—1881no—
1430C4⋊C4—1881no—
1431C4⋊C4—1881no—
1432C4⋊C4—1881no—
1433C4⋊C4—1881no—
1434C4⋊C4—1881no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—474no—
1448C22⋊C4—474no—
1449C22⋊C4—474no—
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—942no—
1459C22⋊C4—942no—
1460C22⋊C4—942no—
1461C22⋊C4—942no—
1462C22⋊C4—942no—
1463C22⋊C4—942no—
1464C22⋊C4—942no—
1465C22⋊C4—942no—
1466C22⋊C4—942no—
1467C22⋊C4—942no—
1468C22⋊C4—942no—
1469C22⋊C4—942no—
1470C22⋊C4—942no—
1471C22⋊C4—942no—
1472C22⋊C4—942no—
1473C22⋊C4—942no—
1474C22⋊C4—942no—
1475C22⋊C4—942no—
1476C22⋊C4—942no—
1477C22⋊C4—942no—
1478C22⋊C4—942no—
1479C22⋊C4—942no—
1480C22⋊C4—942no—
1481C22⋊C4—1881no—
1482C22⋊C4—1881no—
1483C22⋊C4—1881no—
1484C22⋊C4—1881no—
1485C22⋊C4—1881no—
1486C22⋊C4D4×D4714yes—
1487C42—22no—
1488C42—41no—
1489C42—942no—
1490C42—942no—
1491C42—942no—
1492C42—942no—
1493C42—942no—
1494C42—942no—
1495C42—942no—
1496C42—1881no—
1497C42—1881no—
1498C42—1881no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—472no—
1527C23—472no—
1528C23—472no—
1529C23—472no—
1530C23—948no—
1531C23—941no—
1532C23—941no—
1533C23—941no—
1534C23—941no—
1535C23—941no—
1536C23—941no—
1537C23—941no—
1538C23—941no—
1539C23—941no—
1540C23—941no—
1541C23—941no—
1542C23—941no—
1543C23—941no—
1544C23—941no—
1545C23—941no—
1546C23—941no—
1547C23—941no—
1548C23—1884no—
1549C23—1884no—
1550C23—1884no—
1551C23—1884no—
1552C23—1884no—
1553C23—1884no—
1554C23C2×D4×D4712yes—
1555C23C24×D4711yescharacteristic
1556Q8—3762no—
1557Q8—3762no—
1558D4—44no—
1559D4—82no—
1560D4—82no—
1561D4—82no—
1562D4—82no—
1563D4—82no—
1564D4—3762no—
1565D4—3762no—
1566D4—3762no—
1567D4—3762no—
1568D4—3762no—
1569D4—3762no—
1570D4—3762no—
1571D4—1884no—
1572D4—1884no—
1573D4—1884no—
1574D4—1884no—
1575D4—1884no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—44no—
1605C2×C4—82no—
1606C2×C4—82no—
1607C2×C4—472no—
1608C2×C4—472no—
1609C2×C4—472no—
1610C2×C4—472no—
1611C2×C4—472no—
1612C2×C4—948no—
1613C2×C4—941no—
1614C2×C4—941no—
1615C2×C4—941no—
1616C2×C4—941no—
1617C2×C4—941no—
1618C2×C4—941no—
1619C2×C4—941no—
1620C2×C4—941no—
1621C2×C4—941no—
1622C2×C4—941no—
1623C2×C4—941no—
1624C2×C4—941no—
1625C2×C4—941no—
1626C2×C4—941no—
1627C2×C4—941no—
1628C2×C4—941no—
1629C2×C4—941no—
1630C2×C4—941no—
1631C2×C4—941no—
1632C2×C4—941no—
1633C2×C4—941no—
1634C2×C4—941no—
1635C2×C4—941no—
1636C2×C4—941no—
1637C2×C4—941no—
1638C2×C4—941no—
1639C2×C4—941no—
1640C2×C4—941no—
1641C2×C4—941no—
1642C2×C4—941no—
1643C2×C4—941no—
1644C2×C4—941no—
1645C2×C4—941no—
1646C2×C4—941no—
1647C2×C4—3762no—
1648C2×C4—3762no—
1649C2×C4—1884no—
1650C2×C4—1884no—
1651C2×C4—1884no—
1652C2×C4—1884no—
1653C2×C4—1884no—
1654C2×C4—1884no—
1655C2×C4—1884no—
1656C2×C4—1884no—
1657C2×C4C2×D4×D4712yes—
1658C2×C4C2×D4×D4712yes—
1659C2×C4#41×D4712yes—
1660C2×C4#41×D4712yes—
1661C2×C4#1309406912yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—474no—
1691C22—942no—
1692C22—942no—
1693C22—942no—
1694C22—942no—
1695C22—942no—
1696C22—942no—
1697C22—942no—
1698C22—942no—
1699C22—942no—
1700C22—18816no—
1701C22—1881no—
1702C22—1881no—
1703C22—1881no—
1704C22—1881no—
1705C22—1881no—
1706C22—1881no—
1707C22—1881no—
1708C22—1881no—
1709C22—1881no—
1710C22—1881no—
1711C22—1881no—
1712C22C22×D4×D4711yescharacteristic
1713C22C2×#41×D4711yescharacteristic
1714C22C2×#41×D4711yescharacteristic
1715C22H(5,𝔽2)×D4711yescharacteristic
1716C22C2×#1309406911yescharacteristic
1717C22#1568995811yescharacteristic
1718C22#1568995911yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—22no—
1723C4—22no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—942no—
1731C4—942no—
1732C4—942no—
1733C4—942no—
1734C4—942no—
1735C4—1881no—
1736C4—1881no—
1737C4—1881no—
1738C4—1881no—
1739C4—1881no—
1740C4—1881no—
1741C4—1881no—
1742C4—1881no—
1743C2—42no—
1744C2—81no—
1745C2—81no—
1746C2—81no—
1747C2—944no—
1748C2—3761no—
1749C2—1882no—
1750C2#532×D4711yescharacteristic
1751C2#2025679511yescharacteristic
1752C2#2025680311yescharacteristic
1753C2#2025707011yescharacteristic
1754C2#2025710411yescharacteristic
1755C2#2025714411yescharacteristic
1756C2#2025714811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2464C2
hypercenter#2464D47
hypocenterC47#35003
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2464

Complements

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

NH ≅ G/Ntype
1. C2×#15689709C2semidirect
2. C2×#15689705C2semidirect
3. #20251688C2semidirect
4. #20251686C2semidirect
5. #20251669C2semidirect
6. #20251667C2semidirect
7. #20249503C2semidirect
8. #20249489C2semidirect
9. #20249127C2semidirect
10. #20249121C2semidirect
11. #20248461C2semidirect
12. #20248460C2semidirect
13. #20248458C2semidirect
14. #20248458C2semidirect
15. #20248437C2semidirect
16. #20248436C2semidirect
17. #20248429C2semidirect
18. #20248426C2semidirect
19. #20248095C2semidirect
20. #20248093C2semidirect
21. #20248091C2semidirect
22. #20248089C2semidirect
23. #20247400C2semidirect
24. #20247390C2semidirect
25. #20247388C2semidirect
26. #20246090C2semidirect
27. #20246085C2semidirect
28. #20245900C2semidirect
29. C4×#13093995C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2464C2semidirect
40. C2×#13094011C22semidirect
44. C2×#13094010C22semidirect
70. C2×(C22⋊D47)⋊C4C22semidirect
75. #15689060C22semidirect
76. #15689059C22semidirect
77. #15689059C22semidirect
78. #15689059C22semidirect
79. #15689056C22semidirect
80. #15689056C22semidirect
81. #15689054C22semidirect
86. #15689044C22semidirect
87. #15689044C22semidirect
88. #15689044C22semidirect
89. #15689043C22semidirect
100. #15689031C22semidirect
101. #15689031C22semidirect
102. #15689031C22semidirect
103. #15689029C22semidirect
104. #15689027C22semidirect
105. #15689026C22semidirect
106. #15689023C22semidirect
107. #15689023C22semidirect
108. #15689019C22semidirect
109. #15689018C22semidirect
110. #15689017C22semidirect
111. #15689017C22semidirect
112. #15689016C22semidirect
113. #15689016C22semidirect
114. #15689016C22semidirect
115. #15689016C22semidirect
116. #15689016C22semidirect
117. #15689015C22semidirect
118. #15689014C22semidirect
119. #15689014C22semidirect
120. #15689013C22semidirect
121. #15689011C22semidirect
122. #15689011C22semidirect
123. #15689011C22semidirect
124. #15689008C22semidirect
125. #15689006C22semidirect
126. #15689005C22semidirect
127. #15689004C22semidirect
130. #15689003C22semidirect
132. #15689002C22semidirect
145. #15688999C22semidirect
146. #15688996C22semidirect
147. #15688995C22semidirect
148. #15688994C22semidirect
149. #15688988C22semidirect
150. #15688987C22semidirect
159. C4×C4⋊Dic47C22semidirect
160. #15688974C22semidirect
163. C22⋊C4×Dic47C22semidirect
167. C4×C22⋊Dic47C22semidirect
168. C4×C22⋊Dic47C22semidirect
171. #15688970C22semidirect
177. C2×C4×D4×C47C22semidirect
178. C47×#398C22semidirect
181. C47×#392C22semidirect
182. C47×#390C22semidirect
183. C47×#388C22semidirect
184. C47×#388C22semidirect
186. C47×#386C22semidirect
187. C47×#385C22semidirect
313. C22⋊C4×D47D4semidirect
890. #2464D47semidirect
952. C2×C4×D4C2×D47semidirect
964. #398C2×D47semidirect
988. #392C2×D47semidirect
994. #390C2×D47semidirect
1011. #388C2×D47semidirect
1012. #388C2×D47semidirect
1036. #386C2×D47semidirect
1040. #385C2×D47semidirect
1067. C47#35003semidirect

Maximal subgroups

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

subgroupindex
C2×#156897092
C2×#156897052
#202516882
#202516862
#202516692
#202516672
#202495032
#202494892
#202491272
#202491212
#202484612
#202484602
#202484582
#202484372
#202484362
#202484292
#202484262
#202480952
#202480932
#202480912
#202480892
#202474002
#202473902
#202473882
#202460902
#202460852
#202459002
C4×#130939952
C4×C22⋊C4×D472
C47×#24642
#3500347