Finite Group Databasebeta

← D47×#2557 #26386383

Subgroups — D47×#2557 #26386383

Order 12032.

3330 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#124×D47C211yesmaximal, characteristic, complemented
2C2×#123×D47C211yesmaximal, characteristic, complemented
3#20248494C211yesmaximal, characteristic, complemented
4#20248493C211yesmaximal, characteristic, complemented
5#20248492C211yesmaximal, characteristic, complemented
6#20248491C211yesmaximal, characteristic, complemented
7#20248490C211yesmaximal, characteristic, complemented
8#20248489C211yesmaximal, characteristic, complemented
9#20248488C211yesmaximal, characteristic, complemented
10#20248487C211yesmaximal, characteristic, complemented
11#20248486C211yesmaximal, characteristic, complemented
12#20248485C211yesmaximal, characteristic, complemented
13#20248484C211yesmaximal, characteristic, complemented
14#20248483C211yesmaximal, characteristic, complemented
15#20248482C211yesmaximal, characteristic, complemented
16#20248481C211yesmaximal, characteristic, complemented
17#20248480C211yesmaximal, characteristic, complemented
18#397×D47C211yesmaximal, characteristic, complemented
19#397×D47C211yesmaximal, characteristic, complemented
20#393×D47C211yesmaximal, characteristic, complemented
21#392×D47C211yesmaximal, characteristic
22#391×D47C211yesmaximal, characteristic, complemented
23#390×D47C211yesmaximal, characteristic, complemented
24#388×D47C211yesmaximal, characteristic, complemented
25#387×D47C211yesmaximal, characteristic, complemented
26#386×D47C211yesmaximal, characteristic, complemented
27#386×D47C211yesmaximal, characteristic, complemented
28#386×D47C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2557C211yesmaximal, characteristic, complemented
32C22×Q8×D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C22×D4×D47C2211yescharacteristic
35C22×D4×D47C2211yescharacteristic
36C23×C4×D47C2211yescharacteristic
37C23×C4×D47C2211yescharacteristic
38C2×#13094013C2211yescharacteristic, complemented
39C2×#13094012C2211yescharacteristic, complemented
40C2×#13094011C2211yescharacteristic, complemented
41C2×#13094010C2211yescharacteristic, complemented
42C2×#13094010C2211yescharacteristic, complemented
43C2×#13094010C2211yescharacteristic, complemented
44C2×#13094010C2211yescharacteristic, complemented
45#124×D47—28no—
46C2×#13094009C2211yescharacteristic, complemented
47C2×#13094009C2211yescharacteristic, complemented
48C2×#13094008C2211yescharacteristic, complemented
49C2×#13094007C2211yescharacteristic, complemented
50C2×#13094006C2211yescharacteristic, complemented
51C2×#13094006C2211yescharacteristic, complemented
52C2×#13094005C2211yescharacteristic, complemented
53#123×D47—28no—
54C2×C4⋊C4×D47C2211yescharacteristic
55C2×C4⋊C4×D47C2211yescharacteristic
56C2×C4⋊C4×D47C2211yescharacteristic
57C2×C22⋊C4×D47C2211yescharacteristic
58C2×C22⋊C4×D47C2211yescharacteristic
59C2×C22⋊C4×D47C2211yescharacteristic
60C2×C22⋊C4×D47C2211yescharacteristic
61C2×C22⋊C4×D47C2211yescharacteristic
62C2×C22⋊C4×D47C2211yescharacteristic
63C2×C22⋊C4×D47C2211yescharacteristic
64C2×C22⋊C4×D47C2211yescharacteristic
65C2×C22⋊C4×D47C2211yescharacteristic
66C2×C22⋊C4×D47C2211yescharacteristic
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C22⋊C4×D47C2211yescharacteristic
70C2×C42×D47C2211yescharacteristic
71C2×C42×D47C2211yescharacteristic
72C2×C42×D47C2211yescharacteristic
73#15689052C2211yescharacteristic, complemented
74#15689052C2211yescharacteristic, complemented
75#15689052C2211yescharacteristic, complemented
76#15689052C2211yescharacteristic, complemented
77#15689051C2211yescharacteristic, complemented
78#15689051C2211yescharacteristic, complemented
79#15689051C2211yescharacteristic, complemented
80#15689051C2211yescharacteristic, complemented
81#15689050C2211yescharacteristic, complemented
82#15689050C2211yescharacteristic, complemented
83#15689049C2211yescharacteristic, complemented
84#15689049C2211yescharacteristic, complemented
85#15689048C2211yescharacteristic, complemented
86#15689048C2211yescharacteristic, complemented
87#15689036C2211yescharacteristic, complemented
88#15689036C2211yescharacteristic, complemented
89#15689036C2211yescharacteristic, complemented
90#15689035C2211yescharacteristic, complemented
91#15689035C2211yescharacteristic, complemented
92#15689035C2211yescharacteristic, complemented
93#15689034C2211yescharacteristic, complemented
94#15689033C2211yescharacteristic
95#15689032C2211yescharacteristic
96#15689032C2211yescharacteristic
97#15689032C2211yescharacteristic
98#15689031C2211yescharacteristic
99#15689031C2211yescharacteristic
100#15689031C2211yescharacteristic
101#15689030C2211yescharacteristic, complemented
102#15689029C2211yescharacteristic, complemented
103#15689028C2211yescharacteristic, complemented
104#15689027C2211yescharacteristic, complemented
105#15689027C2211yescharacteristic, complemented
106#15689027C2211yescharacteristic, complemented
107#15689027C2211yescharacteristic, complemented
108#15689026C2211yescharacteristic, complemented
109#15689025C2211yescharacteristic, complemented
110#15689024C2211yescharacteristic, complemented
111#15689023C2211yescharacteristic, complemented
112#15689023C2211yescharacteristic, complemented
113#15689023C2211yescharacteristic, complemented
114#15689023C2211yescharacteristic, complemented
115#15689017C2211yescharacteristic, complemented
116#15689016C2211yescharacteristic, complemented
117#15689015C2211yescharacteristic, complemented
118#15689014C2211yescharacteristic, complemented
119#15689013C2211yescharacteristic, complemented
120#15689012C2211yescharacteristic, complemented
121#15689011C2211yescharacteristic, complemented
122#15689010C2211yescharacteristic, complemented
123#15689009C2211yescharacteristic, complemented
124#15689008C2211yescharacteristic, complemented
125#15689007C2211yescharacteristic, complemented
126#15689006C2211yescharacteristic, complemented
127#15689005C2211yescharacteristic, complemented
128#15689004C2211yescharacteristic, complemented
129#15689003C2211yescharacteristic, complemented
130#15689003C2211yescharacteristic, complemented
131#15689003C2211yescharacteristic, complemented
132#15689002C2211yescharacteristic, complemented
133#15689002C2211yescharacteristic, complemented
134#15689002C2211yescharacteristic, complemented
135#15689001C2211yescharacteristic, complemented
136#15689001C2211yescharacteristic, complemented
137#15689001C2211yescharacteristic, complemented
138#15689001C2211yescharacteristic, complemented
139#15689001C2211yescharacteristic, complemented
140#15689001C2211yescharacteristic, complemented
141#15689000C2211yescharacteristic, complemented
142#15689000C2211yescharacteristic, complemented
143#15689000C2211yescharacteristic, complemented
144#15688999C2211yescharacteristic, complemented
145#15688999C2211yescharacteristic, complemented
146#15688999C2211yescharacteristic, complemented
147#15688999C2211yescharacteristic, complemented
148#15688999C2211yescharacteristic, complemented
149#15688999C2211yescharacteristic, complemented
150C22⋊C4×Dic47C2211yescharacteristic, complemented
151C22⋊C4×Dic47C2211yescharacteristic, complemented
152C22⋊C4×Dic47C2211yescharacteristic, complemented
153C22⋊C4×Dic47C2211yescharacteristic, complemented
154C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
155C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
156C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
158C4×C22⋊Dic47C2211yescharacteristic, complemented
159C4×C22⋊Dic47C2211yescharacteristic, complemented
160#15688970C2211yescharacteristic, complemented
161#15688970C2211yescharacteristic, complemented
162#15688970C2211yescharacteristic, complemented
163#15688970C2211yescharacteristic, complemented
164#95×D47C2211yescharacteristic
165#95×D47C2211yescharacteristic
166#95×D47C2211yescharacteristic
167#95×D47C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172#95×D47C2211yescharacteristic
173#95×D47C2211yescharacteristic
174C2×#124×C47C2211yescharacteristic, complemented
175C2×#123×C47C2211yescharacteristic, complemented
176C47×#397C2211yescharacteristic, complemented
177C47×#397C2211yescharacteristic, complemented
178C47×#393C2211yescharacteristic, complemented
179C47×#392C2211yescharacteristic
180C47×#391C2211yescharacteristic, complemented
181C47×#390C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#387C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic, complemented
186C47×#386C2211yescharacteristic, complemented
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C4×C22⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C24×D47C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C22×Dic94C2311yescharacteristic
195C2×Q8×D47—24no—
196C2×Q8×D47—24no—
197C2×Q8×D47—42no—
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×D188C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C2×D4×D47—24no—
208C2×D4×D47—24no—
209C2×D4×D47—24no—
210C2×D4×D47—24no—
211C2×D4×D47—24no—
212C2×D4×D47—24no—
213C2×D4×D47—42no—
214C2×D4×D47—42no—
215C2×D4×D47—42no—
216C23×Dic47C2311yescharacteristic
217C23×Dic47C2311yescharacteristic
218C22×C4×D47—24no—
219C22×C4×D47—24no—
220C22×C4×D47—24no—
221C22×C4×D47—42no—
222C22×C4×D47—42no—
223C22×C4×D47—42no—
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226C22×C4×D47C2311yescharacteristic
227C22×C4×D47C2311yescharacteristic
228C22×C4×D47C2311yescharacteristic
229C22×C4×D47C2311yescharacteristic
230C22×C4×D47C2311yescharacteristic
231C22×C4×D47C2311yescharacteristic
232C22×C4×D47C2311yescharacteristic
233C22×C4×D47C2311yescharacteristic
234C22×C4×D47C2311yescharacteristic
235C22×C4×D47C2311yescharacteristic
236C22×C4×D47C2311yescharacteristic
237C22×C4×D47C2311yescharacteristic
238C22×C4×D47C2311yescharacteristic
239C22×C4×D47C2311yescharacteristic
240#13094013—24no—
241#13094012—24no—
242#13094011—24no—
243#13094010—24no—
244#13094010—24no—
245#13094010—24no—
246#13094010—24no—
247#13094009—24no—
248#13094009—24no—
249#13094008—24no—
250#13094007—24no—
251#13094006—24no—
252#13094006—24no—
253#13094005—24no—
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C4⋊C4×D47—24no—
264C4⋊C4×D47—24no—
265C4⋊C4×D47—24no—
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
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
305C22⋊C4×D47—24no—
306C22⋊C4×D47—24no—
307C22⋊C4×D47—24no—
308C22⋊C4×D47—24no—
309C22⋊C4×D47—24no—
310C22⋊C4×D47—24no—
311C22⋊C4×D47—24no—
312C22⋊C4×D47—24no—
313C22⋊C4×D47—24no—
314C22⋊C4×D47—42no—
315C22⋊C4×D47—42no—
316C22⋊C4×D47—42no—
317C22⋊C4×D47D418yescomplemented
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C2×C4×Dic47C2311yescharacteristic
326C2×C4×Dic47C2311yescharacteristic
327C42×D47—24no—
328C42×D47—42no—
329C42×D47—42no—
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
354C47⋊#95C2311yescharacteristic
355C47⋊#95C2311yescharacteristic
356C47⋊#95C2311yescharacteristic
357C47⋊#95C2311yescharacteristic
358C47⋊#95C2311yescharacteristic
359C47⋊#95C2311yescharacteristic
360C22×Q8×C47C2311yescharacteristic
361C22×D4×C47C2311yescharacteristic
362C22×D4×C47C2311yescharacteristic
363C22×D4×C47C2311yescharacteristic
364C23×C4×C47C2311yescharacteristic
365C23×C4×C47C2311yescharacteristic
366#124×C47—24no—
367#123×C47—24no—
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
384C2×C42×C47C2311yescharacteristic
385C2×C42×C47C2311yescharacteristic
386C2×C42×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391#95×C47C2311yescharacteristic
392#95×C47C2311yescharacteristic
393#95×C47C2311yescharacteristic
394#95×C47C2311yescharacteristic
395#95×C47C2311yescharacteristic
396#95×C47C2311yescharacteristic
397C24×C47C2411yescharacteristic
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C23×D47—22no—
401C23×D47—22no—
402C23×D47—22no—
403C23×D47—22no—
404C23×D47—22no—
405C23×D47—22no—
406C23×D47—22no—
407C23×D47—22no—
408C23×D47—22no—
409C23×D47—22no—
410C23×D47—22no—
411C23×D47—22no—
412C23×D47—22no—
413C23×D47—22no—
414C23×D47—22no—
415C23×D47—22no—
416C23×D47—22no—
417C23×D47—22no—
418C23×D47—22no—
419C23×D47C2×D414yes—
420C23×D47#4114yes—
421C23×D47C2411yescharacteristic
422C23×D47C2411yescharacteristic
423C23×D47C2411yescharacteristic
424C23×D47C2411yescharacteristic
425C2×Q8×C47—22no—
426C2×Q8×C47—22no—
427C2×Q8×C47—41no—
428C2×D4×C47—22no—
429C2×D4×C47—22no—
430C2×D4×C47—22no—
431C2×D4×C47—22no—
432C2×D4×C47—22no—
433C2×D4×C47—22no—
434C2×D4×C47—41no—
435C2×D4×C47—41no—
436C2×D4×C47—41no—
437C22×C4×C47—22no—
438C22×C4×C47—22no—
439C22×C4×C47—22no—
440C22×C4×C47—41no—
441C22×C4×C47—41no—
442C22×C4×C47—41no—
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C22×C4×C47C2411yescharacteristic
451C22×C4×C47C2411yescharacteristic
452C22×C4×C47C2411yescharacteristic
453C22×C4×C47C2411yescharacteristic
454C22×C4×C47C2411yescharacteristic
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—22no—
460C2×C22⋊D47—22no—
461C2×C22⋊D47—22no—
462C2×C22⋊D47—22no—
463C2×C22⋊D47—22no—
464C2×C22⋊D47—22no—
465C2×C22⋊D47—22no—
466C2×C22⋊D47—22no—
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
491Q8×D47—416no—
492D4×D47—416no—
493D4×D47—416no—
494D4×D47—416no—
495C2×D188—22no—
496C2×D188—22no—
497C2×D188—22no—
498C2×D188—22no—
499C2×D188—22no—
500C2×D188—22no—
501C2×D188—41no—
502C2×D188—41no—
503C2×D188—41no—
504C2×C4×D47—22no—
505C2×C4×D47—22no—
506C2×C4×D47—22no—
507C2×C4×D47—22no—
508C2×C4×D47—22no—
509C2×C4×D47—22no—
510C2×C4×D47—22no—
511C2×C4×D47—22no—
512C2×C4×D47—22no—
513C2×C4×D47—22no—
514C2×C4×D47—22no—
515C2×C4×D47—22no—
516C2×C4×D47—22no—
517C2×C4×D47—22no—
518C2×C4×D47—22no—
519C2×C4×D47—22no—
520C2×C4×D47—22no—
521C2×C4×D47—22no—
522C2×C4×D47—22no—
523C2×C4×D47—22no—
524C2×C4×D47—22no—
525C2×C4×D47—22no—
526C2×C4×D47—22no—
527C2×C4×D47—22no—
528C2×C4×D47—22no—
529C2×C4×D47—22no—
530C2×C4×D47—22no—
531C2×C4×D47—22no—
532C2×C4×D47—22no—
533C2×C4×D47—22no—
534C2×C4×D47—22no—
535C2×C4×D47—22no—
536C2×C4×D47—22no—
537C2×C4×D47—22no—
538C2×C4×D47—22no—
539C2×C4×D47—22no—
540C2×C4×D47—22no—
541C2×C4×D47—416no—
542C2×C4×D47—416no—
543C2×C4×D47—41no—
544C2×C4×D47—41no—
545C2×C4×D47—41no—
546C2×C4×D47—41no—
547C2×C4×D47—41no—
548C2×C4×D47—41no—
549C2×C4×D47C2×D414yes—
550C2×C4×D47C2×D414yes—
551C2×C4×D47#4114yes—
552C2×C4×D47#4114yes—
553C2×C4×D47#4114yes—
554C2×Dic94—22no—
555C2×Dic94—22no—
556C2×Dic94—22no—
557C2×Dic94—22no—
558C2×Dic94—22no—
559C2×Dic94—22no—
560C2×Dic94—41no—
561C2×Dic94—41no—
562C2×Dic94—41no—
563C4⋊C4×C47—22no—
564C4⋊C4×C47—22no—
565C4⋊C4×C47—22no—
566C22⋊C4×C47—22no—
567C22⋊C4×C47—22no—
568C22⋊C4×C47—22no—
569C22⋊C4×C47—22no—
570C22⋊C4×C47—22no—
571C22⋊C4×C47—22no—
572C22⋊C4×C47—22no—
573C22⋊C4×C47—22no—
574C22⋊C4×C47—22no—
575C22⋊C4×C47—41no—
576C22⋊C4×C47—41no—
577C22⋊C4×C47—41no—
578C22⋊C4×C47C2×D414yescomplemented
579C42×C47—22no—
580C42×C47—41no—
581C42×C47—41no—
582C22⋊Dic47—22no—
583C22⋊Dic47—22no—
584C22⋊Dic47—22no—
585C22⋊Dic47—22no—
586C22⋊Dic47—22no—
587C22⋊Dic47—22no—
588C22⋊Dic47—22no—
589C22⋊Dic47—22no—
590C22⋊Dic47—22no—
591C22⋊Dic47—41no—
592C22⋊Dic47—41no—
593C22⋊Dic47—41no—
594C22⋊Dic47C2×D414yescomplemented
595(C2×D47)⋊C4—22no—
596(C2×D47)⋊C4—22no—
597(C2×D47)⋊C4—22no—
598(C2×D47)⋊C4—22no—
599(C2×D47)⋊C4—22no—
600(C2×D47)⋊C4—22no—
601(C2×D47)⋊C4—22no—
602(C2×D47)⋊C4—22no—
603(C2×D47)⋊C4—22no—
604(C2×D47)⋊C4—22no—
605(C2×D47)⋊C4—22no—
606(C2×D47)⋊C4—22no—
607(C2×D47)⋊C4—22no—
608(C2×D47)⋊C4—22no—
609(C2×D47)⋊C4—22no—
610(C2×D47)⋊C4—22no—
611(C2×D47)⋊C4—22no—
612(C2×D47)⋊C4—22no—
613(C2×D47)⋊C4—41no—
614(C2×D47)⋊C4—41no—
615(C2×D47)⋊C4—41no—
616(C2×D47)⋊C4—41no—
617(C2×D47)⋊C4—41no—
618(C2×D47)⋊C4—41no—
619(C2×D47)⋊C4C2×D414yescomplemented
620(C2×D47)⋊C4C2×D414yescomplemented
621C4⋊Dic47—22no—
622C4⋊Dic47—22no—
623C4⋊Dic47—22no—
624Dic47⋊C4—22no—
625Dic47⋊C4—22no—
626Dic47⋊C4—22no—
627Dic47⋊C4—22no—
628Dic47⋊C4—22no—
629Dic47⋊C4—22no—
630C4×Dic47—22no—
631C4×Dic47—22no—
632C4×Dic47—22no—
633C4×Dic47—41no—
634C4×Dic47—41no—
635C4×Dic47—41no—
636C4×Dic47—41no—
637C4×Dic47—41no—
638C4×Dic47—41no—
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×C47—21no—
648C23×C47—21no—
649C23×C47—21no—
650C23×C47—21no—
651C23×C47—21no—
652C23×C47—21no—
653C23×C47—21no—
654C23×C47—21no—
655C23×C47—21no—
656C23×C47—21no—
657C23×C47—21no—
658C23×C47C22×D412yes—
659C23×C47C2×#4112yes—
660C23×C47C2511yescharacteristic
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—21no—
668C22×D47—21no—
669C22×D47—21no—
670C22×D47—21no—
671C22×D47—21no—
672C22×D47—21no—
673C22×D47—28no—
674C22×D47—28no—
675C22×D47—28no—
676C22×D47—28no—
677C22×D47—28no—
678C22×D47—28no—
679C22×D47—21no—
680C22×D47—21no—
681C22×D47—21no—
682C22×D47—21no—
683C22×D47—21no—
684C22×D47—21no—
685C22×D47—21no—
686C22×D47—44no—
687C22×D47—44no—
688C22×D47—44no—
689C22×D47—44no—
690C22×D47—44no—
691C22×D47—44no—
692C22×D47—44no—
693C22×D47—44no—
694C22×D47—44no—
695C22×D47—44no—
696C22×D47—44no—
697C22×D47—44no—
698C22×D47—44no—
699C22×D47—44no—
700C22×D47—44no—
701C22×D47C22×D412yes—
702C22×D47C22×D412yes—
703C22×D47C2×#4112yes—
704C22×D47C2×#4112yes—
705C22×D47C2×#4112yes—
706C22×D47C2×#4112yes—
707C22×D47C2×#4112yes—
708C22×D47H(5,𝔽2)12yes—
709C22×D47H(5,𝔽2)12yes—
710Q8×C47—44no—
711D4×C47—44no—
712D4×C47—44no—
713D4×C47—44no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—21no—
725C2×C4×C47—21no—
726C2×C4×C47—21no—
727C2×C4×C47—21no—
728C2×C4×C47—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—44no—
746C2×C4×C47—44no—
747C2×C4×C47C22×D412yes—
748C2×C4×C47C22×D412yes—
749C2×C4×C47C2×#4112yes—
750C2×C4×C47C2×#4112yes—
751C2×C4×C47C2×#4112yes—
752C22⋊D47—44no—
753C22⋊D47—44no—
754C22⋊D47—44no—
755C22⋊D47—44no—
756C22⋊D47—44no—
757C22⋊D47—44no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—21no—
779C2×Dic47—21no—
780C2×Dic47—21no—
781C2×Dic47—21no—
782C2×Dic47—21no—
783C2×Dic47—21no—
784C2×Dic47—21no—
785C2×Dic47—21no—
786C2×Dic47—21no—
787C2×Dic47—21no—
788C2×Dic47—21no—
789C2×Dic47—44no—
790C2×Dic47—44no—
791C2×Dic47C22×D412yes—
792C2×Dic47C22×D412yes—
793C2×Dic47C2×#4112yes—
794C2×Dic47C2×#4112yes—
795C2×Dic47C2×#4112yes—
796D188—44no—
797D188—44no—
798D188—44no—
799C4×D47—28no—
800C4×D47—28no—
801C4×D47—28no—
802C4×D47—28no—
803C4×D47—28no—
804C4×D47—44no—
805C4×D47—44no—
806C4×D47—44no—
807C4×D47—44no—
808C4×D47—44no—
809C4×D47—44no—
810C4×D47—44no—
811C4×D47—44no—
812C4×D47—44no—
813C4×D47—44no—
814C4×D47—44no—
815Dic94—44no—
816Dic94—44no—
817Dic94—44no—
818C2×#2557—471nomaximal, Sylow
819C22×C47—22no—
820C22×C47—22no—
821C22×C47—22no—
822C22×C47—22no—
823C22×C47—22no—
824C22×C47—22no—
825C22×C47—41no—
826C22×C47—41no—
827C22×C47—41no—
828C22×C47—41no—
829C22×C47—41no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47—41no—
833C22×C47—41no—
834C22×C47—41no—
835C22×C47—41no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47C23×D411yescharacteristic
841C22×C47C22×#4111yescharacteristic
842C22×C47C22×#4111yescharacteristic
843C22×C47C22×#4111yescharacteristic
844C22×C47C22×#4111yescharacteristic
845C22×C47C2×H(5,𝔽2)11yescharacteristic
846C22×C47C2×H(5,𝔽2)11yescharacteristic
847C2×D47—22no—
848C2×D47—22no—
849C2×D47—22no—
850C2×D47—22no—
851C2×D47—22no—
852C2×D47—22no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—41no—
859C2×D47—41no—
860C2×D47—41no—
861C2×D47—416no—
862C2×D47—416no—
863C2×D47—41no—
864C2×D47—41no—
865C2×D47—41no—
866C2×D47—41no—
867C2×D47—41no—
868C2×D47—41no—
869C2×D47—41no—
870C2×D47—88no—
871C2×D47#52914yes—
872C2×D47#53214yes—
873C2×D47#53814yes—
874C2×D47#54614yes—
875C2×D47#54614yes—
876C2×D47#55114yes—
877C2×D47#55914yes—
878C4×C47—22no—
879C4×C47—22no—
880C4×C47—22no—
881C4×C47—22no—
882C4×C47—22no—
883C4×C47—41no—
884C4×C47—41no—
885C4×C47—41no—
886C4×C47—41no—
887C4×C47—41no—
888C4×C47—41no—
889C4×C47—41no—
890Dic47—22no—
891Dic47—22no—
892Dic47—22no—
893Dic47—22no—
894Dic47—22no—
895Dic47—41no—
896Dic47—41no—
897Dic47—41no—
898Dic47—41no—
899Dic47—41no—
900Dic47—41no—
901Dic47—41no—
902C22×#124—471no—
903C22×#123—471no—
904#2557—471no—
905#2557—471no—
906#2557—471no—
907#2557—471no—
908#2557—471no—
909#2557—471no—
910#2557—471no—
911#2557—471no—
912#2557—471no—
913#2557—471no—
914#2557—471no—
915#2557—471no—
916#2557—471no—
917#2557—471no—
918#2557—471no—
919#2557D4711yescharacteristic, direct product factor
920C2×#397—471no—
921C2×#397—471no—
922C2×#393—471no—
923C2×#392—471no—
924C2×#391—471no—
925C2×#390—471no—
926C2×#388—471no—
927C2×#387—471no—
928C2×#386—471no—
929C2×#386—471no—
930C2×#386—471no—
931C2×C4×C22⋊C4—471no—
932C2×C4×C22⋊C4—471no—
933C2×C47—42no—
934C2×C47—42no—
935C2×C47—81no—
936C2×C47C2×#52911yescharacteristic
937C2×C47C2×#53211yescharacteristic
938C2×C47C2×#53811yescharacteristic
939C2×C47C2×#54611yescharacteristic
940C2×C47C2×#54611yescharacteristic
941C2×C47C2×#55111yescharacteristic
942C2×C47C2×#55911yescharacteristic
943D47—42no—
944D47—42no—
945D47—81no—
946D47#255718yesdirect product factor
947C23×Q8—471no—
948C23×D4—471no—
949C23×D4—471no—
950C23×D4—471no—
951C24×C4—471no—
952C24×C4—471no—
953C2×#124—471no—
954C2×#124—471no—
955C2×#124—471no—
956C2×#124—471no—
957C2×#124—471no—
958C2×#124—471no—
959C2×#124—471no—
960C2×#124—948no—
961C2×#124C2×D4711yescharacteristic, complemented
962C2×#123—471no—
963C2×#123—471no—
964C2×#123—471no—
965C2×#123—471no—
966C2×#123—471no—
967C2×#123—471no—
968C2×#123—471no—
969C2×#123—948no—
970C2×#123C2×D4711yescharacteristic, complemented
971C22×C4⋊C4—471no—
972C22×C4⋊C4—471no—
973C22×C4⋊C4—471no—
974C22×C22⋊C4—471no—
975C22×C22⋊C4—471no—
976C22×C22⋊C4—471no—
977C22×C22⋊C4—471no—
978C22×C22⋊C4—471no—
979C22×C22⋊C4—471no—
980C22×C22⋊C4—471no—
981C22×C22⋊C4—471no—
982C22×C22⋊C4—471no—
983C22×C22⋊C4—471no—
984C22×C22⋊C4—471no—
985C22×C22⋊C4—471no—
986C22×C22⋊C4—471no—
987C22×C42—471no—
988C22×C42—471no—
989C22×C42—471no—
990#397—471no—
991#397—471no—
992#397—471no—
993#397—471no—
994#397—471no—
995#397—471no—
996#397—471no—
997#397—471no—
998#397—471no—
999#397—471no—
1000#397—471no—
1001#397—471no—
1002#397—471no—
1003#397—471no—
1004#397C2×D4711yescharacteristic, complemented
1005#397C2×D4711yescharacteristic, complemented
1006#393—471no—
1007#393—471no—
1008#393—471no—
1009#393—471no—
1010#393—471no—
1011#393—471no—
1012#393—471no—
1013#393C2×D4711yescharacteristic, complemented
1014#392—471no—
1015#392—471no—
1016#392—471no—
1017#392—471no—
1018#392—471no—
1019#392—471no—
1020#392—471no—
1021#392C2×D4711yescharacteristic
1022#391—471no—
1023#391—471no—
1024#391—471no—
1025#391—471no—
1026#391—471no—
1027#391—471no—
1028#391—471no—
1029#391C2×D4711yescharacteristic, complemented
1030#390—471no—
1031#390—471no—
1032#390—471no—
1033#390—471no—
1034#390—471no—
1035#390—471no—
1036#390—471no—
1037#390C2×D4711yescharacteristic, complemented
1038#388—471no—
1039#388—471no—
1040#388—471no—
1041#388—471no—
1042#388—471no—
1043#388—471no—
1044#388—471no—
1045#388C2×D4711yescharacteristic, complemented
1046#387—471no—
1047#387—471no—
1048#387—471no—
1049#387—471no—
1050#387—471no—
1051#387—471no—
1052#387—471no—
1053#387C2×D4711yescharacteristic, complemented
1054#386—471no—
1055#386—471no—
1056#386—471no—
1057#386—471no—
1058#386—471no—
1059#386—471no—
1060#386—471no—
1061#386—471no—
1062#386—471no—
1063#386—471no—
1064#386—471no—
1065#386—471no—
1066#386—471no—
1067#386—471no—
1068#386—471no—
1069#386—471no—
1070#386—471no—
1071#386—471no—
1072#386—471no—
1073#386—471no—
1074#386—471no—
1075#386C2×D4711yescharacteristic, complemented
1076#386C2×D4711yescharacteristic, complemented
1077#386C2×D4711yescharacteristic, complemented
1078C4×C22⋊C4—471no—
1079C4×C22⋊C4—471no—
1080C4×C22⋊C4—471no—
1081C4×C22⋊C4—471no—
1082C4×C22⋊C4—471no—
1083C4×C22⋊C4—471no—
1084C4×C22⋊C4—471no—
1085C4×C22⋊C4—471no—
1086C4×C22⋊C4—471no—
1087C4×C22⋊C4—471no—
1088C4×C22⋊C4—471no—
1089C4×C22⋊C4—471no—
1090C4×C22⋊C4—471no—
1091C4×C22⋊C4—471no—
1092C4×C22⋊C4C2×D4711yescharacteristic, complemented
1093C4×C22⋊C4C2×D4711yescharacteristic, complemented
1094C2×#95—471no—
1095C2×#95—471no—
1096C2×#95—471no—
1097C2×#95—471no—
1098C2×#95—471no—
1099C2×#95—471no—
1100C2×#95—471no—
1101C2×#95—471no—
1102C2×#95—471no—
1103C2×#95—471no—
1104C47C2×#255711yescharacteristic, complemented, Sylow
1105C25—471no—
1106C25—471no—
1107C25—471no—
1108C22×Q8—471no—
1109C22×Q8—471no—
1110C22×Q8—471no—
1111C22×Q8—944no—
1112C22×Q8—944no—
1113C22×Q8—1882no—
1114C22×Q8C22×D4711yescharacteristic
1115C22×D4—471no—
1116C22×D4—471no—
1117C22×D4—471no—
1118C22×D4—471no—
1119C22×D4—471no—
1120C22×D4—471no—
1121C22×D4—471no—
1122C22×D4—471no—
1123C22×D4—471no—
1124C22×D4—944no—
1125C22×D4—944no—
1126C22×D4—944no—
1127C22×D4—944no—
1128C22×D4—944no—
1129C22×D4—944no—
1130C22×D4—1882no—
1131C22×D4—1882no—
1132C22×D4—1882no—
1133C22×D4C22×D4711yescharacteristic
1134C22×D4C22×D4711yescharacteristic
1135C22×D4C22×D4711yescharacteristic
1136C23×C4—471no—
1137C23×C4—471no—
1138C23×C4—471no—
1139C23×C4—471no—
1140C23×C4—471no—
1141C23×C4—471no—
1142C23×C4—471no—
1143C23×C4—471no—
1144C23×C4—471no—
1145C23×C4—471no—
1146C23×C4—471no—
1147C23×C4—471no—
1148C23×C4—471no—
1149C23×C4—471no—
1150C23×C4—471no—
1151C23×C4—471no—
1152C23×C4—471no—
1153C23×C4—471no—
1154C23×C4—944no—
1155C23×C4—944no—
1156C23×C4—944no—
1157C23×C4—1882no—
1158C23×C4—1882no—
1159C23×C4—1882no—
1160C23×C4C22×D4711yescharacteristic
1161C23×C4C22×D4711yescharacteristic
1162#124—24no—
1163#124—944no—
1164#124—944no—
1165#124—944no—
1166#124—944no—
1167#124—944no—
1168#124—944no—
1169#124—944no—
1170#123—24no—
1171#123—944no—
1172#123—944no—
1173#123—944no—
1174#123—944no—
1175#123—944no—
1176#123—944no—
1177#123—944no—
1178C2×C4⋊C4—471no—
1179C2×C4⋊C4—471no—
1180C2×C4⋊C4—471no—
1181C2×C4⋊C4—471no—
1182C2×C4⋊C4—471no—
1183C2×C4⋊C4—471no—
1184C2×C4⋊C4—471no—
1185C2×C4⋊C4—471no—
1186C2×C4⋊C4—471no—
1187C2×C4⋊C4—944no—
1188C2×C4⋊C4—944no—
1189C2×C4⋊C4—944no—
1190C2×C4⋊C4C22×D4711yescharacteristic
1191C2×C4⋊C4C22×D4711yescharacteristic
1192C2×C4⋊C4C22×D4711yescharacteristic
1193C2×C22⋊C4—471no—
1194C2×C22⋊C4—471no—
1195C2×C22⋊C4—471no—
1196C2×C22⋊C4—478no—
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—471no—
1211C2×C22⋊C4—471no—
1212C2×C22⋊C4—471no—
1213C2×C22⋊C4—471no—
1214C2×C22⋊C4—471no—
1215C2×C22⋊C4—471no—
1216C2×C22⋊C4—471no—
1217C2×C22⋊C4—471no—
1218C2×C22⋊C4—471no—
1219C2×C22⋊C4—471no—
1220C2×C22⋊C4—471no—
1221C2×C22⋊C4—471no—
1222C2×C22⋊C4—471no—
1223C2×C22⋊C4—471no—
1224C2×C22⋊C4—471no—
1225C2×C22⋊C4—471no—
1226C2×C22⋊C4—471no—
1227C2×C22⋊C4—471no—
1228C2×C22⋊C4—471no—
1229C2×C22⋊C4—471no—
1230C2×C22⋊C4—471no—
1231C2×C22⋊C4—471no—
1232C2×C22⋊C4—471no—
1233C2×C22⋊C4—944no—
1234C2×C22⋊C4—944no—
1235C2×C22⋊C4—944no—
1236C2×C22⋊C4—944no—
1237C2×C22⋊C4—944no—
1238C2×C22⋊C4—944no—
1239C2×C22⋊C4—944no—
1240C2×C22⋊C4—944no—
1241C2×C22⋊C4—944no—
1242C2×C22⋊C4—1882no—
1243C2×C22⋊C4—1882no—
1244C2×C22⋊C4—1882no—
1245C2×C22⋊C4C22×D4711yescharacteristic
1246C2×C22⋊C4C22×D4711yescharacteristic
1247C2×C22⋊C4C22×D4711yescharacteristic
1248C2×C22⋊C4C22×D4711yescharacteristic
1249C2×C22⋊C4C22×D4711yescharacteristic
1250C2×C22⋊C4C22×D4711yescharacteristic
1251C2×C22⋊C4C22×D4711yescharacteristic
1252C2×C22⋊C4C22×D4711yescharacteristic
1253C2×C22⋊C4C22×D4711yescharacteristic
1254C2×C22⋊C4C22×D4711yescharacteristic
1255C2×C22⋊C4C22×D4711yescharacteristic
1256C2×C22⋊C4C22×D4711yescharacteristic
1257C2×C22⋊C4C22×D4711yescharacteristic
1258C2×C42—471no—
1259C2×C42—471no—
1260C2×C42—471no—
1261C2×C42—471no—
1262C2×C42—471no—
1263C2×C42—471no—
1264C2×C42—471no—
1265C2×C42—471no—
1266C2×C42—471no—
1267C2×C42—944no—
1268C2×C42—1882no—
1269C2×C42—1882no—
1270C2×C42C22×D4711yescharacteristic
1271C2×C42C22×D4711yescharacteristic
1272C2×C42C22×D4711yescharacteristic
1273#95—471no—
1274#95—471no—
1275#95—471no—
1276#95—471no—
1277#95—471no—
1278#95—471no—
1279#95—471no—
1280#95—471no—
1281#95—471no—
1282#95—471no—
1283#95—471no—
1284#95—471no—
1285#95—471no—
1286#95—471no—
1287#95—471no—
1288#95—471no—
1289#95—471no—
1290#95—471no—
1291#95—471no—
1292#95—471no—
1293#95—471no—
1294#95—471no—
1295#95—471no—
1296#95—471no—
1297#95—471no—
1298#95—471no—
1299#95—471no—
1300#95—471no—
1301#95—471no—
1302#95—471no—
1303#95C22×D4711yescharacteristic
1304#95C22×D4711yescharacteristic
1305#95C22×D4711yescharacteristic
1306#95C22×D4711yescharacteristic
1307#95C22×D4711yescharacteristic
1308#95C22×D4711yescharacteristic
1309#95C22×D4711yescharacteristic
1310#95C22×D4711yescharacteristic
1311#95C22×D4711yescharacteristic
1312#95C22×D4711yescharacteristic
1313C24—471no—
1314C24—474no—
1315C24—474no—
1316C24—471no—
1317C24—471no—
1318C24—471no—
1319C24—942no—
1320C24—942no—
1321C24—942no—
1322C24—942no—
1323C24—942no—
1324C24—942no—
1325C24—942no—
1326C24—942no—
1327C24—942no—
1328C24—942no—
1329C24—942no—
1330C24—942no—
1331C24—942no—
1332C24—942no—
1333C24—942no—
1334C24—942no—
1335C24—942no—
1336C24—942no—
1337C24—942no—
1338C24C23×D4711yescharacteristic
1339C24C23×D4711yescharacteristic
1340C24C23×D4711yescharacteristic
1341C2×Q8—22no—
1342C2×Q8—22no—
1343C2×Q8—41no—
1344C2×Q8—942no—
1345C2×Q8—942no—
1346C2×Q8—942no—
1347C2×Q8—942no—
1348C2×Q8—942no—
1349C2×Q8—942no—
1350C2×Q8—1881no—
1351C2×Q8—1881no—
1352C2×Q8—1881no—
1353C2×Q8—18816no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—942no—
1364C2×D4—942no—
1365C2×D4—942no—
1366C2×D4—942no—
1367C2×D4—942no—
1368C2×D4—942no—
1369C2×D4—942no—
1370C2×D4—942no—
1371C2×D4—942no—
1372C2×D4—942no—
1373C2×D4—942no—
1374C2×D4—942no—
1375C2×D4—942no—
1376C2×D4—942no—
1377C2×D4—942no—
1378C2×D4—942no—
1379C2×D4—942no—
1380C2×D4—942no—
1381C2×D4—1881no—
1382C2×D4—1881no—
1383C2×D4—1881no—
1384C2×D4—18816no—
1385C2×D4—18816no—
1386C2×D4—1881no—
1387C2×D4—1881no—
1388C2×D4—1881no—
1389C2×D4—1881no—
1390C2×D4—1881no—
1391C2×D4—1881no—
1392C2×D4—18816no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—471no—
1400C22×C4—471no—
1401C22×C4—471no—
1402C22×C4—471no—
1403C22×C4—471no—
1404C22×C4—474no—
1405C22×C4—474no—
1406C22×C4—474no—
1407C22×C4—474no—
1408C22×C4—474no—
1409C22×C4—471no—
1410C22×C4—471no—
1411C22×C4—471no—
1412C22×C4—471no—
1413C22×C4—471no—
1414C22×C4—471no—
1415C22×C4—471no—
1416C22×C4—942no—
1417C22×C4—942no—
1418C22×C4—942no—
1419C22×C4—942no—
1420C22×C4—942no—
1421C22×C4—942no—
1422C22×C4—942no—
1423C22×C4—942no—
1424C22×C4—942no—
1425C22×C4—942no—
1426C22×C4—942no—
1427C22×C4—942no—
1428C22×C4—942no—
1429C22×C4—942no—
1430C22×C4—942no—
1431C22×C4—942no—
1432C22×C4—942no—
1433C22×C4—942no—
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—1881no—
1457C22×C4—1881no—
1458C22×C4—1881no—
1459C22×C4—1881no—
1460C22×C4—1881no—
1461C22×C4—1881no—
1462C22×C4—18816no—
1463C22×C4—18816no—
1464C22×C4—1881no—
1465C22×C4—1881no—
1466C22×C4—1881no—
1467C22×C4C23×D4711yescharacteristic
1468C22×C4C23×D4711yescharacteristic
1469C22×C4C23×D4711yescharacteristic
1470C22×C4C23×D4711yescharacteristic
1471C22×C4C23×D4711yescharacteristic
1472C22×C4C23×D4711yescharacteristic
1473C22×C4C23×D4711yescharacteristic
1474C22×C4C23×D4711yescharacteristic
1475C22×C4C23×D4711yescharacteristic
1476C22×C4C23×D4711yescharacteristic
1477C22×C4C23×D4711yescharacteristic
1478C22×C4C23×D4711yescharacteristic
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—942no—
1483C4⋊C4—942no—
1484C4⋊C4—942no—
1485C4⋊C4—942no—
1486C4⋊C4—942no—
1487C4⋊C4—942no—
1488C4⋊C4—942no—
1489C4⋊C4—942no—
1490C4⋊C4—942no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—474no—
1504C22⋊C4—474no—
1505C22⋊C4—474no—
1506C22⋊C4—942no—
1507C22⋊C4—942no—
1508C22⋊C4—942no—
1509C22⋊C4—942no—
1510C22⋊C4—942no—
1511C22⋊C4—942no—
1512C22⋊C4—942no—
1513C22⋊C4—942no—
1514C22⋊C4—942no—
1515C22⋊C4—942no—
1516C22⋊C4—942no—
1517C22⋊C4—942no—
1518C22⋊C4—942no—
1519C22⋊C4—942no—
1520C22⋊C4—942no—
1521C22⋊C4—942no—
1522C22⋊C4—942no—
1523C22⋊C4—942no—
1524C22⋊C4—942no—
1525C22⋊C4—942no—
1526C22⋊C4—942no—
1527C22⋊C4—942no—
1528C22⋊C4—942no—
1529C22⋊C4—942no—
1530C22⋊C4—942no—
1531C22⋊C4—942no—
1532C22⋊C4—942no—
1533C22⋊C4—1881no—
1534C22⋊C4—1881no—
1535C22⋊C4—1881no—
1536C22⋊C4—1881no—
1537C22⋊C4—1881no—
1538C22⋊C4—1881no—
1539C22⋊C4—1881no—
1540C22⋊C4—1881no—
1541C22⋊C4—1881no—
1542C22⋊C4D4×D4714yescomplemented
1543C42—22no—
1544C42—41no—
1545C42—41no—
1546C42—942no—
1547C42—942no—
1548C42—942no—
1549C42—1881no—
1550C42—1881no—
1551C42—1881no—
1552C42—1881no—
1553C42—1881no—
1554C42—1881no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—472no—
1575C23—472no—
1576C23—472no—
1577C23—472no—
1578C23—472no—
1579C23—472no—
1580C23—472no—
1581C23—472no—
1582C23—472no—
1583C23—948no—
1584C23—948no—
1585C23—948no—
1586C23—948no—
1587C23—948no—
1588C23—948no—
1589C23—941no—
1590C23—941no—
1591C23—941no—
1592C23—941no—
1593C23—941no—
1594C23—941no—
1595C23—941no—
1596C23—941no—
1597C23—941no—
1598C23—941no—
1599C23—941no—
1600C23—941no—
1601C23—941no—
1602C23—941no—
1603C23—941no—
1604C23—941no—
1605C23—941no—
1606C23—941no—
1607C23—941no—
1608C23—1884no—
1609C23—1884no—
1610C23—1884no—
1611C23—1884no—
1612C23—1884no—
1613C23—1884no—
1614C23—1884no—
1615C23—1884no—
1616C23—1884no—
1617C23—1884no—
1618C23—1884no—
1619C23—1884no—
1620C23—1884no—
1621C23—1884no—
1622C23—1884no—
1623C23C2×D4×D4712yes—
1624C23#41×D4712yes—
1625C23C24×D4711yescharacteristic
1626Q8—44no—
1627Q8—1884no—
1628Q8—1884no—
1629Q8—1884no—
1630D4—44no—
1631D4—44no—
1632D4—44no—
1633D4—1884no—
1634D4—1884no—
1635D4—1884no—
1636D4—1884no—
1637D4—1884no—
1638D4—1884no—
1639D4—1884no—
1640D4—1884no—
1641D4—1884no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—472no—
1676C2×C4—472no—
1677C2×C4—472no—
1678C2×C4—472no—
1679C2×C4—472no—
1680C2×C4—948no—
1681C2×C4—948no—
1682C2×C4—948no—
1683C2×C4—948no—
1684C2×C4—948no—
1685C2×C4—941no—
1686C2×C4—941no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—941no—
1693C2×C4—941no—
1694C2×C4—941no—
1695C2×C4—941no—
1696C2×C4—941no—
1697C2×C4—941no—
1698C2×C4—941no—
1699C2×C4—941no—
1700C2×C4—941no—
1701C2×C4—941no—
1702C2×C4—941no—
1703C2×C4—941no—
1704C2×C4—941no—
1705C2×C4—941no—
1706C2×C4—941no—
1707C2×C4—941no—
1708C2×C4—941no—
1709C2×C4—941no—
1710C2×C4—941no—
1711C2×C4—941no—
1712C2×C4—941no—
1713C2×C4—941no—
1714C2×C4—941no—
1715C2×C4—941no—
1716C2×C4—1884no—
1717C2×C4—1884no—
1718C2×C4—1884no—
1719C2×C4—1884no—
1720C2×C4—1884no—
1721C2×C4—1884no—
1722C2×C4—1884no—
1723C2×C4—1884no—
1724C2×C4—1884no—
1725C2×C4—1884no—
1726C2×C4—1884no—
1727C2×C4—1884no—
1728C2×C4—1884no—
1729C2×C4C2×D4×D4712yes—
1730C2×C4C2×D4×D4712yes—
1731C2×C4#41×D4712yes—
1732C2×C4#41×D4712yes—
1733C2×C4#41×D4712yes—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—474no—
1756C22—474no—
1757C22—474no—
1758C22—474no—
1759C22—474no—
1760C22—474no—
1761C22—474no—
1762C22—942no—
1763C22—942no—
1764C22—942no—
1765C22—942no—
1766C22—942no—
1767C22—942no—
1768C22—3768no—
1769C22—18816no—
1770C22—18816no—
1771C22—1881no—
1772C22—1881no—
1773C22—1881no—
1774C22—1881no—
1775C22—1881no—
1776C22—1881no—
1777C22—1881no—
1778C22—1881no—
1779C22—1881no—
1780C22—1881no—
1781C22—1881no—
1782C22—1881no—
1783C22—1881no—
1784C22—1881no—
1785C22—1881no—
1786C22C22×D4×D4711yescharacteristic
1787C22C2×#41×D4711yescharacteristic
1788C22C2×#41×D4711yescharacteristic
1789C22C2×#41×D4711yescharacteristic
1790C22C2×#41×D4711yescharacteristic
1791C22H(5,𝔽2)×D4711yescharacteristic
1792C22H(5,𝔽2)×D4711yescharacteristic
1793C4—22no—
1794C4—22no—
1795C4—22no—
1796C4—22no—
1797C4—22no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—942no—
1806C4—942no—
1807C4—942no—
1808C4—942no—
1809C4—942no—
1810C4—1881no—
1811C4—1881no—
1812C4—1881no—
1813C4—1881no—
1814C4—1881no—
1815C4—1881no—
1816C4—1881no—
1817C2—42no—
1818C2—42no—
1819C2—81no—
1820C2—478no—
1821C2—3761no—
1822C2—1882no—
1823C2—1882no—
1824C2#529×D4711yescharacteristic
1825C2#532×D4711yescharacteristic
1826C2#538×D4711yescharacteristic
1827C2#546×D4711yescharacteristic
1828C2#546×D4711yescharacteristic
1829C2#551×D4711yescharacteristic
1830C2#559×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2557C2
prime radical#392×D47C2
hypercenter#2557D47
hypocenterC47C2×#2557
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2557

Complements

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

NH ≅ G/Ntype
1. C2×#124×D47C2semidirect
2. C2×#123×D47C2semidirect
3. #20248494C2semidirect
4. #20248493C2semidirect
5. #20248492C2semidirect
6. #20248491C2semidirect
7. #20248490C2semidirect
8. #20248489C2semidirect
9. #20248488C2semidirect
10. #20248487C2semidirect
11. #20248486C2semidirect
12. #20248485C2semidirect
13. #20248484C2semidirect
14. #20248483C2semidirect
15. #20248482C2semidirect
16. #20248481C2semidirect
17. #20248480C2semidirect
18. #397×D47C2semidirect
19. #397×D47C2semidirect
20. #393×D47C2semidirect
22. #391×D47C2semidirect
23. #390×D47C2semidirect
24. #388×D47C2semidirect
25. #387×D47C2semidirect
26. #386×D47C2semidirect
27. #386×D47C2semidirect
28. #386×D47C2semidirect
29. C4×C22⋊C4×D47C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2557C2semidirect
38. C2×#13094013C22semidirect
39. C2×#13094012C22semidirect
40. C2×#13094011C22semidirect
41. C2×#13094010C22semidirect
42. C2×#13094010C22semidirect
43. C2×#13094010C22semidirect
44. C2×#13094010C22semidirect
46. C2×#13094009C22semidirect
47. C2×#13094009C22semidirect
48. C2×#13094008C22semidirect
49. C2×#13094007C22semidirect
50. C2×#13094006C22semidirect
51. C2×#13094006C22semidirect
52. C2×#13094005C22semidirect
73. #15689052C22semidirect
74. #15689052C22semidirect
75. #15689052C22semidirect
76. #15689052C22semidirect
77. #15689051C22semidirect
78. #15689051C22semidirect
79. #15689051C22semidirect
80. #15689051C22semidirect
81. #15689050C22semidirect
82. #15689050C22semidirect
83. #15689049C22semidirect
84. #15689049C22semidirect
85. #15689048C22semidirect
86. #15689048C22semidirect
87. #15689036C22semidirect
88. #15689036C22semidirect
89. #15689036C22semidirect
90. #15689035C22semidirect
91. #15689035C22semidirect
92. #15689035C22semidirect
93. #15689034C22semidirect
101. #15689030C22semidirect
102. #15689029C22semidirect
103. #15689028C22semidirect
104. #15689027C22semidirect
105. #15689027C22semidirect
106. #15689027C22semidirect
107. #15689027C22semidirect
108. #15689026C22semidirect
109. #15689025C22semidirect
110. #15689024C22semidirect
111. #15689023C22semidirect
112. #15689023C22semidirect
113. #15689023C22semidirect
114. #15689023C22semidirect
115. #15689017C22semidirect
116. #15689016C22semidirect
117. #15689015C22semidirect
118. #15689014C22semidirect
119. #15689013C22semidirect
120. #15689012C22semidirect
121. #15689011C22semidirect
122. #15689010C22semidirect
123. #15689009C22semidirect
124. #15689008C22semidirect
125. #15689007C22semidirect
126. #15689006C22semidirect
127. #15689005C22semidirect
128. #15689004C22semidirect
129. #15689003C22semidirect
130. #15689003C22semidirect
131. #15689003C22semidirect
132. #15689002C22semidirect
133. #15689002C22semidirect
134. #15689002C22semidirect
135. #15689001C22semidirect
136. #15689001C22semidirect
137. #15689001C22semidirect
138. #15689001C22semidirect
139. #15689001C22semidirect
140. #15689001C22semidirect
141. #15689000C22semidirect
142. #15689000C22semidirect
143. #15689000C22semidirect
144. #15688999C22semidirect
145. #15688999C22semidirect
146. #15688999C22semidirect
147. #15688999C22semidirect
148. #15688999C22semidirect
149. #15688999C22semidirect
150. C22⋊C4×Dic47C22semidirect
151. C22⋊C4×Dic47C22semidirect
152. C22⋊C4×Dic47C22semidirect
153. C22⋊C4×Dic47C22semidirect
154. C4×(C2×D47)⋊C4C22semidirect
155. C4×(C2×D47)⋊C4C22semidirect
156. C4×(C2×D47)⋊C4C22semidirect
157. C4×(C2×D47)⋊C4C22semidirect
158. C4×C22⋊Dic47C22semidirect
159. C4×C22⋊Dic47C22semidirect
160. #15688970C22semidirect
161. #15688970C22semidirect
162. #15688970C22semidirect
163. #15688970C22semidirect
174. C2×#124×C47C22semidirect
175. C2×#123×C47C22semidirect
176. C47×#397C22semidirect
177. C47×#397C22semidirect
178. C47×#393C22semidirect
180. C47×#391C22semidirect
181. C47×#390C22semidirect
182. C47×#388C22semidirect
183. C47×#387C22semidirect
184. C47×#386C22semidirect
185. C47×#386C22semidirect
186. C47×#386C22semidirect
187. C4×C22⋊C4×C47C22semidirect
188. C4×C22⋊C4×C47C22semidirect
317. C22⋊C4×D47D4semidirect
578. C22⋊C4×C47C2×D4semidirect
594. C22⋊Dic47C2×D4semidirect
619. (C2×D47)⋊C4C2×D4semidirect
620. (C2×D47)⋊C4C2×D4semidirect
919. #2557D47direct (N × H)
946. D47#2557direct (N × H)
961. C2×#124C2×D47semidirect
970. C2×#123C2×D47semidirect
1004. #397C2×D47semidirect
1005. #397C2×D47semidirect
1013. #393C2×D47semidirect
1029. #391C2×D47semidirect
1037. #390C2×D47semidirect
1045. #388C2×D47semidirect
1053. #387C2×D47semidirect
1075. #386C2×D47semidirect
1076. #386C2×D47semidirect
1077. #386C2×D47semidirect
1092. C4×C22⋊C4C2×D47semidirect
1093. C4×C22⋊C4C2×D47semidirect
1104. C47C2×#2557semidirect
1542. C22⋊C4D4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#124×D472
C2×#123×D472
#202484942
#202484932
#202484922
#202484912
#202484902
#202484892
#202484882
#202484872
#202484862
#202484852
#202484842
#202484832
#202484822
#202484812
#202484802
#397×D472
#393×D472
#392×D472
#391×D472
#390×D472
#388×D472
#387×D472
#386×D472
C4×C22⋊C4×D472
C47×#25572
C2×#255747