Finite Group Databasebeta

← D47×#2653 #26382765

Subgroups — D47×#2653 #26382765

Order 12032.

2394 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20249458C211yesmaximal, characteristic, complemented
2#20249457C211yesmaximal, characteristic, complemented
3#20249456C211yesmaximal, characteristic, complemented
4#20249455C211yesmaximal, characteristic, complemented
5#20249454C211yesmaximal, characteristic, complemented
6#20249453C211yesmaximal, characteristic, complemented
7#20249452C211yesmaximal, characteristic, complemented
8#20249451C211yesmaximal, characteristic, complemented
9#20249450C211yesmaximal, characteristic, complemented
10#20249449C211yesmaximal, characteristic, complemented
11#20249448C211yesmaximal, characteristic, complemented
12#20249447C211yesmaximal, characteristic, complemented
13#20249446C211yesmaximal, characteristic, complemented
14#20249445C211yesmaximal, characteristic, complemented
15#20249444C211yesmaximal, characteristic, complemented
16#401×D47C211yesmaximal, characteristic, complemented
17#398×D47C211yesmaximal, characteristic, complemented
18#397×D47C211yesmaximal, characteristic, complemented
19#397×D47C211yesmaximal, characteristic, complemented
20#394×D47C211yesmaximal, characteristic
21#394×D47C211yesmaximal, characteristic
22#393×D47C211yesmaximal, characteristic, complemented
23#393×D47C211yesmaximal, characteristic, complemented
24#391×D47C211yesmaximal, characteristic, complemented
25#388×D47C211yesmaximal, characteristic, complemented
26#388×D47C211yesmaximal, characteristic, complemented
27#387×D47C211yesmaximal, characteristic, complemented
28#386×D47C211yesmaximal, characteristic
29#385×D47C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2653C211yesmaximal, characteristic, complemented
32C22×Q8×D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35C2×C4⋊C4×D47C2211yescharacteristic
36C2×C4⋊C4×D47C2211yescharacteristic
37C2×C4⋊C4×D47C2211yescharacteristic
38C2×C4⋊C4×D47C2211yescharacteristic
39C2×C4⋊C4×D47C2211yescharacteristic
40C2×C22⋊C4×D47C2211yescharacteristic
41C2×C22⋊C4×D47C2211yescharacteristic
42C2×C22⋊C4×D47C2211yescharacteristic
43C2×C22⋊C4×D47C2211yescharacteristic
44C2×C22⋊C4×D47C2211yescharacteristic
45C2×C22⋊C4×D47C2211yescharacteristic
46C2×C22⋊C4×D47C2211yescharacteristic
47C2×C22⋊C4×D47C2211yescharacteristic
48C2×C22⋊C4×D47C2211yescharacteristic
49C2×C22⋊C4×D47C2211yescharacteristic
50C2×C22⋊C4×D47C2211yescharacteristic
51C2×C42×D47C2211yescharacteristic
52C2×C42×D47C2211yescharacteristic
53C47⋊#401C2211yescharacteristic, complemented
54C47⋊#401C2211yescharacteristic, complemented
55C47⋊#401C2211yescharacteristic, complemented
56C47⋊#401C2211yescharacteristic, complemented
57C47⋊#401C2211yescharacteristic, complemented
58C47⋊#401C2211yescharacteristic, complemented
59C47⋊#401C2211yescharacteristic, complemented
60#15689057C2211yescharacteristic, complemented
61#15689057C2211yescharacteristic, complemented
62#15689056C2211yescharacteristic, complemented
63#15689056C2211yescharacteristic, complemented
64#15689055C2211yescharacteristic, complemented
65#15689054C2211yescharacteristic, complemented
66#15689053C2211yescharacteristic, complemented
67#15689052C2211yescharacteristic, complemented
68#15689052C2211yescharacteristic, complemented
69#15689052C2211yescharacteristic, complemented
70#15689052C2211yescharacteristic, complemented
71#15689051C2211yescharacteristic, complemented
72#15689051C2211yescharacteristic, complemented
73#15689051C2211yescharacteristic, complemented
74#15689051C2211yescharacteristic, complemented
75#15689050C2211yescharacteristic, complemented
76#15689050C2211yescharacteristic, complemented
77#15689049C2211yescharacteristic, complemented
78#15689049C2211yescharacteristic, complemented
79#15689048C2211yescharacteristic, complemented
80#15689048C2211yescharacteristic, complemented
81#15689041C2211yescharacteristic
82#15689041C2211yescharacteristic
83#15689040C2211yescharacteristic
84#15689040C2211yescharacteristic
85#15689039C2211yescharacteristic
86#15689039C2211yescharacteristic
87#15689039C2211yescharacteristic
88#15689039C2211yescharacteristic
89#15689038C2211yescharacteristic
90#15689038C2211yescharacteristic
91#15689038C2211yescharacteristic
92#15689038C2211yescharacteristic
93#15689037C2211yescharacteristic
94#15689037C2211yescharacteristic
95#15689036C2211yescharacteristic, complemented
96#15689036C2211yescharacteristic, complemented
97#15689036C2211yescharacteristic, complemented
98#15689036C2211yescharacteristic, complemented
99#15689036C2211yescharacteristic, complemented
100#15689036C2211yescharacteristic, complemented
101#15689035C2211yescharacteristic, complemented
102#15689035C2211yescharacteristic, complemented
103#15689035C2211yescharacteristic, complemented
104#15689035C2211yescharacteristic, complemented
105#15689035C2211yescharacteristic, complemented
106#15689035C2211yescharacteristic, complemented
107#15689034C2211yescharacteristic, complemented
108#15689034C2211yescharacteristic, complemented
109#15689030C2211yescharacteristic, complemented
110#15689029C2211yescharacteristic, complemented
111#15689028C2211yescharacteristic, complemented
112#15689027C2211yescharacteristic, complemented
113#15689027C2211yescharacteristic, complemented
114#15689027C2211yescharacteristic, complemented
115#15689027C2211yescharacteristic, complemented
116#15689017C2211yescharacteristic, complemented
117#15689017C2211yescharacteristic, complemented
118#15689016C2211yescharacteristic, complemented
119#15689016C2211yescharacteristic, complemented
120#15689015C2211yescharacteristic, complemented
121#15689015C2211yescharacteristic, complemented
122#15689014C2211yescharacteristic, complemented
123#15689014C2211yescharacteristic, complemented
124#15689013C2211yescharacteristic, complemented
125#15689013C2211yescharacteristic, complemented
126#15689012C2211yescharacteristic, complemented
127#15689012C2211yescharacteristic, complemented
128#15689011C2211yescharacteristic, complemented
129#15689011C2211yescharacteristic, complemented
130#15689010C2211yescharacteristic, complemented
131#15689009C2211yescharacteristic, complemented
132#15689008C2211yescharacteristic, complemented
133#15689007C2211yescharacteristic, complemented
134#15689006C2211yescharacteristic, complemented
135#15689005C2211yescharacteristic, complemented
136#15689004C2211yescharacteristic, complemented
137#15689003C2211yescharacteristic
138#15689002C2211yescharacteristic
139#15689001C2211yescharacteristic
140#15689001C2211yescharacteristic
141#15689000C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688998C2211yescharacteristic, complemented
145#15688997C2211yescharacteristic, complemented
146#15688997C2211yescharacteristic, complemented
147#15688996C2211yescharacteristic, complemented
148#15688995C2211yescharacteristic, complemented
149#15688994C2211yescharacteristic, complemented
150#15688994C2211yescharacteristic, complemented
151C22⋊C4×Dic47C2211yescharacteristic, complemented
152C22⋊C4×Dic47C2211yescharacteristic, complemented
153C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
154C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
155C4×C22⋊Dic47C2211yescharacteristic, complemented
156#15688970C2211yescharacteristic, complemented
157#15688970C2211yescharacteristic, complemented
158#95×D47C2211yescharacteristic
159#95×D47C2211yescharacteristic
160#95×D47C2211yescharacteristic
161#95×D47C2211yescharacteristic
162#95×D47C2211yescharacteristic
163#95×D47C2211yescharacteristic
164#95×D47C2211yescharacteristic
165#95×D47C2211yescharacteristic
166#95×D47C2211yescharacteristic
167#95×D47C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C47×#401C2211yescharacteristic, complemented
173C47×#398C2211yescharacteristic, complemented
174C47×#397C2211yescharacteristic, complemented
175C47×#397C2211yescharacteristic, complemented
176C47×#394C2211yescharacteristic
177C47×#394C2211yescharacteristic
178C47×#393C2211yescharacteristic, complemented
179C47×#393C2211yescharacteristic, complemented
180C47×#391C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#387C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic
185C47×#385C2211yescharacteristic, complemented
186C4×C22⋊C4×C47C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C2×Q8×D47—24no—
193C2×Q8×D47—42no—
194C2×Q8×D47—42no—
195C22×D188C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C2×D4×D47—24no—
199C2×D4×D47—42no—
200C2×D4×D47—42no—
201C23×Dic47C2311yescharacteristic
202C22×C4×D47—24no—
203C22×C4×D47—42no—
204C22×C4×D47—42no—
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
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
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C2×C4⋊Dic47C2311yescharacteristic
221C2×C4⋊Dic47C2311yescharacteristic
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×Dic47⋊C4C2311yescharacteristic
226C2×Dic47⋊C4C2311yescharacteristic
227C2×Dic47⋊C4C2311yescharacteristic
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×Dic47⋊C4C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C4⋊C4×D47—24no—
236C4⋊C4×D47—42no—
237C4⋊C4×D47—42no—
238C4⋊C4×D47—42no—
239C4⋊C4×D47—42no—
240C2×C22⋊Dic47C2311yescharacteristic
241C2×C22⋊Dic47C2311yescharacteristic
242C2×C22⋊Dic47C2311yescharacteristic
243C2×C22⋊Dic47C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×(C2×D47)⋊C4C2311yescharacteristic
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
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
273C22⋊C4×D47—24no—
274C22⋊C4×D47—24no—
275C22⋊C4×D47—24no—
276C22⋊C4×D47—24no—
277C22⋊C4×D47—24no—
278C22⋊C4×D47—42no—
279C22⋊C4×D47—42no—
280C22⋊C4×D47—42no—
281C22⋊C4×D47—42no—
282C22⋊C4×D47—42no—
283C22⋊C4×D47—42no—
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C42×D47—42no—
291C42×D47—42no—
292C47⋊#95C2311yescharacteristic
293C47⋊#95C2311yescharacteristic
294C47⋊#95C2311yescharacteristic
295C47⋊#95C2311yescharacteristic
296C47⋊#95C2311yescharacteristic
297C47⋊#95C2311yescharacteristic
298C47⋊#95C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
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×Q8×C47C2311yescharacteristic
335C22×D4×C47C2311yescharacteristic
336C23×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×C42×C47C2311yescharacteristic
354C2×C42×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×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—22no—
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—22no—
382C23×D47—22no—
383C23×D47—22no—
384C23×D47#4114yes—
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C2×Q8×C47—22no—
389C2×Q8×C47—41no—
390C2×Q8×C47—41no—
391C2×D4×C47—22no—
392C2×D4×C47—41no—
393C2×D4×C47—41no—
394C22×C4×C47—22no—
395C22×C4×C47—41no—
396C22×C4×C47—41no—
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—41no—
413C2×C22⋊D47—41no—
414C2×C22⋊D47—41no—
415C2×C22⋊D47—41no—
416C22×Dic47—22no—
417C22×Dic47—41no—
418C22×Dic47—41no—
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2411yescharacteristic
432Q8×D47—416no—
433D4×D47—416no—
434C2×D188—22no—
435C2×D188—41no—
436C2×D188—41no—
437C2×C4×D47—22no—
438C2×C4×D47—22no—
439C2×C4×D47—22no—
440C2×C4×D47—22no—
441C2×C4×D47—22no—
442C2×C4×D47—22no—
443C2×C4×D47—22no—
444C2×C4×D47—22no—
445C2×C4×D47—22no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—22no—
466C2×C4×D47—22no—
467C2×C4×D47—22no—
468C2×C4×D47—22no—
469C2×C4×D47—22no—
470C2×C4×D47—22no—
471C2×C4×D47—22no—
472C2×C4×D47—22no—
473C2×C4×D47—22no—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—416no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47#4114yes—
482C2×C4×D47#4114yes—
483C2×Dic94—22no—
484C2×Dic94—22no—
485C2×Dic94—22no—
486C2×Dic94—41no—
487C2×Dic94—41no—
488C2×Dic94—41no—
489C2×Dic94—41no—
490C2×Dic94—41no—
491C2×Dic94—41no—
492C4⋊C4×C47—22no—
493C4⋊C4×C47—41no—
494C4⋊C4×C47—41no—
495C4⋊C4×C47—41no—
496C4⋊C4×C47—41no—
497C22⋊C4×C47—22no—
498C22⋊C4×C47—22no—
499C22⋊C4×C47—22no—
500C22⋊C4×C47—22no—
501C22⋊C4×C47—22no—
502C22⋊C4×C47—41no—
503C22⋊C4×C47—41no—
504C22⋊C4×C47—41no—
505C22⋊C4×C47—41no—
506C22⋊C4×C47—41no—
507C22⋊C4×C47—41no—
508C42×C47—41no—
509C42×C47—41no—
510C22⋊Dic47—22no—
511C22⋊Dic47—22no—
512C22⋊Dic47—22no—
513C22⋊Dic47—22no—
514C22⋊Dic47—22no—
515C22⋊Dic47—41no—
516C22⋊Dic47—41no—
517C22⋊Dic47—41no—
518C22⋊Dic47—41no—
519C22⋊Dic47—41no—
520C22⋊Dic47—41no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
530(C2×D47)⋊C4—22no—
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—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543C4⋊Dic47—22no—
544C4⋊Dic47—41no—
545C4⋊Dic47—41no—
546C4⋊Dic47—41no—
547C4⋊Dic47—41no—
548Dic47⋊C4—22no—
549Dic47⋊C4—22no—
550Dic47⋊C4—41no—
551Dic47⋊C4—41no—
552Dic47⋊C4—41no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558C4×Dic47—41no—
559C4×Dic47—41no—
560C4×Dic47—41no—
561C4×Dic47—41no—
562C4×Dic47—41no—
563C4×Dic47—41no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47C2×#4112yes—
578C23×C47C2511yescharacteristic
579C22×D47—21no—
580C22×D47—21no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—21no—
584C22×D47—21no—
585C22×D47—28no—
586C22×D47—28no—
587C22×D47—28no—
588C22×D47—21no—
589C22×D47—21no—
590C22×D47—21no—
591C22×D47—21no—
592C22×D47—21no—
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—44no—
596C22×D47—44no—
597C22×D47—44no—
598C22×D47—44no—
599C22×D47—44no—
600C22×D47—44no—
601C22×D47—44no—
602C22×D47—44no—
603C22×D47—44no—
604C22×D47—44no—
605C22×D47—44no—
606C22×D47C2×#4112yes—
607C22×D47C2×#4112yes—
608C22×D47C2×#4112yes—
609C22×D47C2×#4112yes—
610C22×D47H(5,𝔽2)12yes—
611C22×D47H(5,𝔽2)12yes—
612C22×D47H(5,𝔽2)12yes—
613C22×D472−1+412yes—
614Q8×C47—44no—
615D4×C47—44no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—44no—
654C2×C4×C47C2×#4112yes—
655C2×C4×C47C2×#4112yes—
656C22⋊D47—44no—
657C22⋊D47—44no—
658C2×Dic47—21no—
659C2×Dic47—21no—
660C2×Dic47—21no—
661C2×Dic47—21no—
662C2×Dic47—21no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—44no—
696C2×Dic47C2×#4112yes—
697C2×Dic47C2×#4112yes—
698D188—44no—
699C4×D47—28no—
700C4×D47—28no—
701C4×D47—44no—
702C4×D47—44no—
703C4×D47—44no—
704C4×D47—44no—
705C4×D47—44no—
706C4×D47—44no—
707C4×D47—44no—
708C4×D47—44no—
709C4×D47—44no—
710C4×D47—44no—
711C4×D47—44no—
712C4×D47—44no—
713C4×D47—44no—
714Dic94—44no—
715Dic94—44no—
716Dic94—44no—
717C2×#2653—471nomaximal, Sylow
718C22×C47—22no—
719C22×C47—22no—
720C22×C47—22no—
721C22×C47—41no—
722C22×C47—41no—
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×C47C22×#4111yescharacteristic
733C22×C47C22×#4111yescharacteristic
734C22×C47C22×#4111yescharacteristic
735C22×C47C2×H(5,𝔽2)11yescharacteristic
736C22×C47C2×H(5,𝔽2)11yescharacteristic
737C22×C47C2×H(5,𝔽2)11yescharacteristic
738C22×C47C2×2−1+411yescharacteristic
739C2×D47—22no—
740C2×D47—22no—
741C2×D47—22no—
742C2×D47—41no—
743C2×D47—41no—
744C2×D47—41no—
745C2×D47—41no—
746C2×D47—416no—
747C2×D47—41no—
748C2×D47—41no—
749C2×D47—41no—
750C2×D47—41no—
751C2×D47—41no—
752C2×D47—41no—
753C2×D47—41no—
754C2×D47—88no—
755C2×D47#52914yes—
756C2×D47#53814yes—
757C2×D47#53814yes—
758C2×D47#53814yes—
759C2×D47#53914yes—
760C2×D47#54214yes—
761C2×D47#54214yes—
762C4×C47—22no—
763C4×C47—22no—
764C4×C47—41no—
765C4×C47—41no—
766C4×C47—41no—
767C4×C47—41no—
768C4×C47—41no—
769C4×C47—41no—
770C4×C47—41no—
771C4×C47—41no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775Dic47—22no—
776Dic47—22no—
777Dic47—41no—
778Dic47—41no—
779Dic47—41no—
780Dic47—41no—
781Dic47—41no—
782Dic47—41no—
783Dic47—41no—
784Dic47—41no—
785Dic47—41no—
786Dic47—41no—
787Dic47—41no—
788#2653—471no—
789#2653—471no—
790#2653—471no—
791#2653—471no—
792#2653—471no—
793#2653—471no—
794#2653—471no—
795#2653—471no—
796#2653—471no—
797#2653—471no—
798#2653—471no—
799#2653—471no—
800#2653—471no—
801#2653—471no—
802#2653—471no—
803#2653D4711yescharacteristic, direct product factor
804C2×#401—471no—
805C2×#398—471no—
806C2×#397—471no—
807C2×#397—471no—
808C2×#394—471no—
809C2×#394—471no—
810C2×#393—471no—
811C2×#393—471no—
812C2×#391—471no—
813C2×#388—471no—
814C2×#388—471no—
815C2×#387—471no—
816C2×#386—471no—
817C2×#385—471no—
818C2×C4×C22⋊C4—471no—
819C2×C47—42no—
820C2×C47—81no—
821C2×C47C2×#52911yescharacteristic
822C2×C47C2×#53811yescharacteristic
823C2×C47C2×#53811yescharacteristic
824C2×C47C2×#53811yescharacteristic
825C2×C47C2×#53911yescharacteristic
826C2×C47C2×#54211yescharacteristic
827C2×C47C2×#54211yescharacteristic
828D47—42no—
829D47—81no—
830D47#265318yesdirect product factor
831C23×Q8—471no—
832C23×D4—471no—
833C24×C4—471no—
834C22×C4⋊C4—471no—
835C22×C4⋊C4—471no—
836C22×C4⋊C4—471no—
837C22×C4⋊C4—471no—
838C22×C4⋊C4—471no—
839C22×C22⋊C4—471no—
840C22×C22⋊C4—471no—
841C22×C22⋊C4—471no—
842C22×C22⋊C4—471no—
843C22×C22⋊C4—471no—
844C22×C22⋊C4—471no—
845C22×C22⋊C4—471no—
846C22×C22⋊C4—471no—
847C22×C22⋊C4—471no—
848C22×C22⋊C4—471no—
849C22×C22⋊C4—471no—
850C22×C42—471no—
851C22×C42—471no—
852#401—471no—
853#401—471no—
854#401—471no—
855#401—471no—
856#401—471no—
857#401—471no—
858#401—471no—
859#401C2×D4711yescharacteristic, complemented
860#398—471no—
861#398—471no—
862#398—471no—
863#398—471no—
864#398—471no—
865#398—471no—
866#398—471no—
867#398C2×D4711yescharacteristic, complemented
868#397—471no—
869#397—471no—
870#397—471no—
871#397—471no—
872#397—471no—
873#397—471no—
874#397—471no—
875#397—471no—
876#397—471no—
877#397—471no—
878#397—471no—
879#397—471no—
880#397—471no—
881#397—471no—
882#397C2×D4711yescharacteristic, complemented
883#397C2×D4711yescharacteristic, complemented
884#394—471no—
885#394—471no—
886#394—471no—
887#394—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#394—471no—
897#394—471no—
898#394C2×D4711yescharacteristic
899#394C2×D4711yescharacteristic
900#393—471no—
901#393—471no—
902#393—471no—
903#393—471no—
904#393—471no—
905#393—471no—
906#393—471no—
907#393—471no—
908#393—471no—
909#393—471no—
910#393—471no—
911#393—471no—
912#393—471no—
913#393—471no—
914#393C2×D4711yescharacteristic, complemented
915#393C2×D4711yescharacteristic, complemented
916#391—471no—
917#391—471no—
918#391—471no—
919#391—471no—
920#391—471no—
921#391—471no—
922#391—471no—
923#391C2×D4711yescharacteristic, complemented
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#388C2×D4711yescharacteristic, complemented
939#388C2×D4711yescharacteristic, complemented
940#387—471no—
941#387—471no—
942#387—471no—
943#387—471no—
944#387—471no—
945#387—471no—
946#387—471no—
947#387C2×D4711yescharacteristic, complemented
948#386—471no—
949#386—471no—
950#386—471no—
951#386—471no—
952#386—471no—
953#386—471no—
954#386—471no—
955#386C2×D4711yescharacteristic
956#385—471no—
957#385—471no—
958#385—471no—
959#385—471no—
960#385—471no—
961#385—471no—
962#385—471no—
963#385C2×D4711yescharacteristic, complemented
964C4×C22⋊C4—471no—
965C4×C22⋊C4—471no—
966C4×C22⋊C4—471no—
967C4×C22⋊C4—471no—
968C4×C22⋊C4—471no—
969C4×C22⋊C4—471no—
970C4×C22⋊C4—471no—
971C4×C22⋊C4C2×D4711yescharacteristic, complemented
972C2×#95—471no—
973C2×#95—471no—
974C2×#95—471no—
975C2×#95—471no—
976C2×#95—471no—
977C2×#95—471no—
978C2×#95—471no—
979C2×#95—471no—
980C2×#95—471no—
981C2×#95—471no—
982C2×#95—471no—
983C2×#95—471no—
984C2×#95—471no—
985C2×#95—471no—
986C47C2×#265311yescharacteristic, complemented, Sylow
987C25—471no—
988C25—471no—
989C22×Q8—471no—
990C22×Q8—471no—
991C22×Q8—471no—
992C22×Q8—944no—
993C22×Q8—1882no—
994C22×Q8—1882no—
995C22×Q8C22×D4711yescharacteristic
996C22×D4—471no—
997C22×D4—471no—
998C22×D4—471no—
999C22×D4—944no—
1000C22×D4—1882no—
1001C22×D4—1882no—
1002C22×D4C22×D4711yescharacteristic
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4—471no—
1009C23×C4—471no—
1010C23×C4—471no—
1011C23×C4—471no—
1012C23×C4—471no—
1013C23×C4—471no—
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—944no—
1020C23×C4—1882no—
1021C23×C4—1882no—
1022C23×C4C22×D4711yescharacteristic
1023C2×C4⋊C4—471no—
1024C2×C4⋊C4—471no—
1025C2×C4⋊C4—471no—
1026C2×C4⋊C4—471no—
1027C2×C4⋊C4—471no—
1028C2×C4⋊C4—471no—
1029C2×C4⋊C4—471no—
1030C2×C4⋊C4—471no—
1031C2×C4⋊C4—471no—
1032C2×C4⋊C4—471no—
1033C2×C4⋊C4—471no—
1034C2×C4⋊C4—471no—
1035C2×C4⋊C4—471no—
1036C2×C4⋊C4—471no—
1037C2×C4⋊C4—471no—
1038C2×C4⋊C4—944no—
1039C2×C4⋊C4—1882no—
1040C2×C4⋊C4—1882no—
1041C2×C4⋊C4—1882no—
1042C2×C4⋊C4—1882no—
1043C2×C4⋊C4C22×D4711yescharacteristic
1044C2×C4⋊C4C22×D4711yescharacteristic
1045C2×C4⋊C4C22×D4711yescharacteristic
1046C2×C4⋊C4C22×D4711yescharacteristic
1047C2×C4⋊C4C22×D4711yescharacteristic
1048C2×C22⋊C4—471no—
1049C2×C22⋊C4—471no—
1050C2×C22⋊C4—471no—
1051C2×C22⋊C4—471no—
1052C2×C22⋊C4—471no—
1053C2×C22⋊C4—471no—
1054C2×C22⋊C4—471no—
1055C2×C22⋊C4—471no—
1056C2×C22⋊C4—471no—
1057C2×C22⋊C4—471no—
1058C2×C22⋊C4—471no—
1059C2×C22⋊C4—471no—
1060C2×C22⋊C4—471no—
1061C2×C22⋊C4—471no—
1062C2×C22⋊C4—471no—
1063C2×C22⋊C4—471no—
1064C2×C22⋊C4—471no—
1065C2×C22⋊C4—471no—
1066C2×C22⋊C4—471no—
1067C2×C22⋊C4—471no—
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—944no—
1082C2×C22⋊C4—944no—
1083C2×C22⋊C4—944no—
1084C2×C22⋊C4—944no—
1085C2×C22⋊C4—944no—
1086C2×C22⋊C4—1882no—
1087C2×C22⋊C4—1882no—
1088C2×C22⋊C4—1882no—
1089C2×C22⋊C4—1882no—
1090C2×C22⋊C4—1882no—
1091C2×C22⋊C4—1882no—
1092C2×C22⋊C4C22×D4711yescharacteristic
1093C2×C22⋊C4C22×D4711yescharacteristic
1094C2×C22⋊C4C22×D4711yescharacteristic
1095C2×C22⋊C4C22×D4711yescharacteristic
1096C2×C22⋊C4C22×D4711yescharacteristic
1097C2×C22⋊C4C22×D4711yescharacteristic
1098C2×C22⋊C4C22×D4711yescharacteristic
1099C2×C22⋊C4C22×D4711yescharacteristic
1100C2×C22⋊C4C22×D4711yescharacteristic
1101C2×C22⋊C4C22×D4711yescharacteristic
1102C2×C22⋊C4C22×D4711yescharacteristic
1103C2×C42—471no—
1104C2×C42—471no—
1105C2×C42—471no—
1106C2×C42—471no—
1107C2×C42—471no—
1108C2×C42—471no—
1109C2×C42—1882no—
1110C2×C42—1882no—
1111C2×C42C22×D4711yescharacteristic
1112C2×C42C22×D4711yescharacteristic
1113#95—471no—
1114#95—471no—
1115#95—471no—
1116#95—471no—
1117#95—471no—
1118#95—471no—
1119#95—471no—
1120#95—471no—
1121#95—471no—
1122#95—471no—
1123#95—471no—
1124#95—471no—
1125#95—471no—
1126#95—471no—
1127#95—471no—
1128#95—471no—
1129#95—471no—
1130#95—471no—
1131#95—471no—
1132#95—471no—
1133#95—471no—
1134#95—471no—
1135#95—471no—
1136#95—471no—
1137#95—471no—
1138#95—471no—
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95C22×D4711yescharacteristic
1156#95C22×D4711yescharacteristic
1157#95C22×D4711yescharacteristic
1158#95C22×D4711yescharacteristic
1159#95C22×D4711yescharacteristic
1160#95C22×D4711yescharacteristic
1161#95C22×D4711yescharacteristic
1162#95C22×D4711yescharacteristic
1163#95C22×D4711yescharacteristic
1164#95C22×D4711yescharacteristic
1165#95C22×D4711yescharacteristic
1166#95C22×D4711yescharacteristic
1167#95C22×D4711yescharacteristic
1168#95C22×D4711yescharacteristic
1169C24—471no—
1170C24—474no—
1171C24—471no—
1172C24—471no—
1173C24—942no—
1174C24—942no—
1175C24—942no—
1176C24—942no—
1177C24—942no—
1178C24—942no—
1179C24—942no—
1180C24—942no—
1181C24—942no—
1182C24—942no—
1183C24—942no—
1184C24—942no—
1185C24—942no—
1186C24C23×D4711yescharacteristic
1187C24C23×D4711yescharacteristic
1188C2×Q8—22no—
1189C2×Q8—41no—
1190C2×Q8—41no—
1191C2×Q8—942no—
1192C2×Q8—942no—
1193C2×Q8—942no—
1194C2×Q8—1881no—
1195C2×Q8—1881no—
1196C2×Q8—1881no—
1197C2×Q8—1881no—
1198C2×Q8—1881no—
1199C2×Q8—1881no—
1200C2×Q8—18816no—
1201C2×D4—22no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—942no—
1205C2×D4—942no—
1206C2×D4—942no—
1207C2×D4—1881no—
1208C2×D4—1881no—
1209C2×D4—1881no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—18816no—
1214C22×C4—22no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—471no—
1218C22×C4—471no—
1219C22×C4—474no—
1220C22×C4—474no—
1221C22×C4—471no—
1222C22×C4—471no—
1223C22×C4—471no—
1224C22×C4—471no—
1225C22×C4—471no—
1226C22×C4—471no—
1227C22×C4—471no—
1228C22×C4—471no—
1229C22×C4—471no—
1230C22×C4—471no—
1231C22×C4—471no—
1232C22×C4—942no—
1233C22×C4—942no—
1234C22×C4—942no—
1235C22×C4—942no—
1236C22×C4—942no—
1237C22×C4—942no—
1238C22×C4—942no—
1239C22×C4—942no—
1240C22×C4—942no—
1241C22×C4—942no—
1242C22×C4—942no—
1243C22×C4—942no—
1244C22×C4—942no—
1245C22×C4—942no—
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—942no—
1259C22×C4—942no—
1260C22×C4—942no—
1261C22×C4—942no—
1262C22×C4—942no—
1263C22×C4—942no—
1264C22×C4—942no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
1270C22×C4—942no—
1271C22×C4—942no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4—18816no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4C23×D4711yescharacteristic
1280C22×C4C23×D4711yescharacteristic
1281C22×C4C23×D4711yescharacteristic
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4711yescharacteristic
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C22×C4C23×D4711yescharacteristic
1292C4⋊C4—22no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—942no—
1298C4⋊C4—942no—
1299C4⋊C4—942no—
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—
1309C4⋊C4—1881no—
1310C4⋊C4—1881no—
1311C4⋊C4—1881no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
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—1881no—
1339C22⋊C4—1881no—
1340C22⋊C4—1881no—
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—
1356C42—41no—
1357C42—41no—
1358C42—1881no—
1359C42—1881no—
1360C42—1881no—
1361C42—1881no—
1362C42—1881no—
1363C42—1881no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—472no—
1378C23—472no—
1379C23—472no—
1380C23—472no—
1381C23—472no—
1382C23—472no—
1383C23—472no—
1384C23—472no—
1385C23—948no—
1386C23—948no—
1387C23—948no—
1388C23—941no—
1389C23—941no—
1390C23—941no—
1391C23—941no—
1392C23—941no—
1393C23—941no—
1394C23—941no—
1395C23—941no—
1396C23—941no—
1397C23—941no—
1398C23—941no—
1399C23—941no—
1400C23—941no—
1401C23—1884no—
1402C23—1884no—
1403C23—1884no—
1404C23—1884no—
1405C23—1884no—
1406C23—1884no—
1407C23—1884no—
1408C23—1884no—
1409C23—1884no—
1410C23—1884no—
1411C23—1884no—
1412C23#41×D4712yes—
1413C23C24×D4711yescharacteristic
1414Q8—44no—
1415Q8—1884no—
1416Q8—1884no—
1417Q8—1884no—
1418D4—44no—
1419D4—1884no—
1420D4—1884no—
1421D4—1884no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—44no—
1460C2×C4—472no—
1461C2×C4—472no—
1462C2×C4—948no—
1463C2×C4—948no—
1464C2×C4—941no—
1465C2×C4—941no—
1466C2×C4—941no—
1467C2×C4—941no—
1468C2×C4—941no—
1469C2×C4—941no—
1470C2×C4—941no—
1471C2×C4—941no—
1472C2×C4—941no—
1473C2×C4—941no—
1474C2×C4—941no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—941no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—1884no—
1502C2×C4—1884no—
1503C2×C4—1884no—
1504C2×C4—1884no—
1505C2×C4—1884no—
1506C2×C4—1884no—
1507C2×C4—1884no—
1508C2×C4—1884no—
1509C2×C4—1884no—
1510C2×C4—1884no—
1511C2×C4—1884no—
1512C2×C4—1884no—
1513C2×C4—1884no—
1514C2×C4—1884no—
1515C2×C4#41×D4712yes—
1516C2×C4#41×D4712yes—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—474no—
1532C22—474no—
1533C22—474no—
1534C22—474no—
1535C22—474no—
1536C22—474no—
1537C22—474no—
1538C22—942no—
1539C22—942no—
1540C22—942no—
1541C22—3768no—
1542C22—18816no—
1543C22—1881no—
1544C22—1881no—
1545C22—1881no—
1546C22—1881no—
1547C22—1881no—
1548C22—1881no—
1549C22—1881no—
1550C22—1881no—
1551C22—1881no—
1552C22—1881no—
1553C22—1881no—
1554C22C2×#41×D4711yescharacteristic
1555C22C2×#41×D4711yescharacteristic
1556C22C2×#41×D4711yescharacteristic
1557C22H(5,𝔽2)×D4711yescharacteristic
1558C22H(5,𝔽2)×D4711yescharacteristic
1559C22H(5,𝔽2)×D4711yescharacteristic
1560C222−1+4×D4711yescharacteristic
1561C4—22no—
1562C4—22no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—942no—
1575C4—942no—
1576C4—1881no—
1577C4—1881no—
1578C4—1881no—
1579C4—1881no—
1580C4—1881no—
1581C4—1881no—
1582C4—1881no—
1583C4—1881no—
1584C4—1881no—
1585C4—1881no—
1586C4—1881no—
1587C2—42no—
1588C2—81no—
1589C2—478no—
1590C2—3761no—
1591C2—1882no—
1592C2#529×D4711yescharacteristic
1593C2#538×D4711yescharacteristic
1594C2#538×D4711yescharacteristic
1595C2#538×D4711yescharacteristic
1596C2#539×D4711yescharacteristic
1597C2#542×D4711yescharacteristic
1598C2#542×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2653C2
prime radicalC22×D4×D47C22
hypercenter#2653D47
hypocenterC47C2×#2653
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2653

Complements

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

NH ≅ G/Ntype
1. #20249458C2semidirect
2. #20249457C2semidirect
3. #20249456C2semidirect
4. #20249455C2semidirect
5. #20249454C2semidirect
6. #20249453C2semidirect
7. #20249452C2semidirect
8. #20249451C2semidirect
9. #20249450C2semidirect
10. #20249449C2semidirect
11. #20249448C2semidirect
12. #20249447C2semidirect
13. #20249446C2semidirect
14. #20249445C2semidirect
15. #20249444C2semidirect
16. #401×D47C2semidirect
17. #398×D47C2semidirect
18. #397×D47C2semidirect
19. #397×D47C2semidirect
22. #393×D47C2semidirect
23. #393×D47C2semidirect
24. #391×D47C2semidirect
25. #388×D47C2semidirect
26. #388×D47C2semidirect
27. #387×D47C2semidirect
29. #385×D47C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2653C2semidirect
53. C47⋊#401C22semidirect
54. C47⋊#401C22semidirect
55. C47⋊#401C22semidirect
56. C47⋊#401C22semidirect
57. C47⋊#401C22semidirect
58. C47⋊#401C22semidirect
59. C47⋊#401C22semidirect
60. #15689057C22semidirect
61. #15689057C22semidirect
62. #15689056C22semidirect
63. #15689056C22semidirect
64. #15689055C22semidirect
65. #15689054C22semidirect
66. #15689053C22semidirect
67. #15689052C22semidirect
68. #15689052C22semidirect
69. #15689052C22semidirect
70. #15689052C22semidirect
71. #15689051C22semidirect
72. #15689051C22semidirect
73. #15689051C22semidirect
74. #15689051C22semidirect
75. #15689050C22semidirect
76. #15689050C22semidirect
77. #15689049C22semidirect
78. #15689049C22semidirect
79. #15689048C22semidirect
80. #15689048C22semidirect
95. #15689036C22semidirect
96. #15689036C22semidirect
97. #15689036C22semidirect
98. #15689036C22semidirect
99. #15689036C22semidirect
100. #15689036C22semidirect
101. #15689035C22semidirect
102. #15689035C22semidirect
103. #15689035C22semidirect
104. #15689035C22semidirect
105. #15689035C22semidirect
106. #15689035C22semidirect
107. #15689034C22semidirect
108. #15689034C22semidirect
109. #15689030C22semidirect
110. #15689029C22semidirect
111. #15689028C22semidirect
112. #15689027C22semidirect
113. #15689027C22semidirect
114. #15689027C22semidirect
115. #15689027C22semidirect
116. #15689017C22semidirect
117. #15689017C22semidirect
118. #15689016C22semidirect
119. #15689016C22semidirect
120. #15689015C22semidirect
121. #15689015C22semidirect
122. #15689014C22semidirect
123. #15689014C22semidirect
124. #15689013C22semidirect
125. #15689013C22semidirect
126. #15689012C22semidirect
127. #15689012C22semidirect
128. #15689011C22semidirect
129. #15689011C22semidirect
130. #15689010C22semidirect
131. #15689009C22semidirect
132. #15689008C22semidirect
133. #15689007C22semidirect
134. #15689006C22semidirect
135. #15689005C22semidirect
136. #15689004C22semidirect
144. #15688998C22semidirect
145. #15688997C22semidirect
146. #15688997C22semidirect
147. #15688996C22semidirect
148. #15688995C22semidirect
149. #15688994C22semidirect
150. #15688994C22semidirect
151. C22⋊C4×Dic47C22semidirect
152. C22⋊C4×Dic47C22semidirect
153. C4×(C2×D47)⋊C4C22semidirect
154. C4×(C2×D47)⋊C4C22semidirect
155. C4×C22⋊Dic47C22semidirect
156. #15688970C22semidirect
157. #15688970C22semidirect
172. C47×#401C22semidirect
173. C47×#398C22semidirect
174. C47×#397C22semidirect
175. C47×#397C22semidirect
178. C47×#393C22semidirect
179. C47×#393C22semidirect
180. C47×#391C22semidirect
181. C47×#388C22semidirect
182. C47×#388C22semidirect
183. C47×#387C22semidirect
185. C47×#385C22semidirect
186. C4×C22⋊C4×C47C22semidirect
803. #2653D47direct (N × H)
830. D47#2653direct (N × H)
859. #401C2×D47semidirect
867. #398C2×D47semidirect
882. #397C2×D47semidirect
883. #397C2×D47semidirect
914. #393C2×D47semidirect
915. #393C2×D47semidirect
923. #391C2×D47semidirect
938. #388C2×D47semidirect
939. #388C2×D47semidirect
947. #387C2×D47semidirect
963. #385C2×D47semidirect
971. C4×C22⋊C4C2×D47semidirect
986. C47C2×#2653semidirect

Maximal subgroups

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

subgroupindex
#202494582
#202494572
#202494562
#202494552
#202494542
#202494532
#202494522
#202494512
#202494502
#202494492
#202494482
#202494472
#202494462
#202494452
#202494442
#401×D472
#398×D472
#397×D472
#394×D472
#393×D472
#391×D472
#388×D472
#387×D472
#386×D472
#385×D472
C4×C22⋊C4×D472
C47×#26532
C2×#265347