Finite Group Databasebeta

← #26389590

Subgroups — #26389590

Order 12032.

1736 conjugacy classes of subgroups.

The subgroup lattice has 1354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251772C211yesmaximal, characteristic, complemented
2#20251769C211yesmaximal, characteristic, complemented
3#20251724C211yesmaximal, characteristic, complemented
4#20251694C211yesmaximal, characteristic, complemented
5#20249483C211yesmaximal, characteristic, complemented
6#20249481C211yesmaximal, characteristic, complemented
7#20249438C211yesmaximal, characteristic, complemented
8#20249436C211yesmaximal, characteristic, complemented
9#20248790C211yesmaximal, characteristic, complemented
10#20248782C211yesmaximal, characteristic, complemented
11#20248652C211yesmaximal, characteristic, complemented
12#20248644C211yesmaximal, characteristic, complemented
13#20247934C211yesmaximal, characteristic, complemented
14#20247871C211yesmaximal, characteristic, complemented
15#20247785C211yesmaximal, characteristic, complemented
16#20247771C211yesmaximal, characteristic, complemented
17#20247769C211yesmaximal, characteristic, complemented
18#20247693C211yesmaximal, characteristic
19#20247246C211yesmaximal, characteristic, complemented
20#20247111C211yesmaximal, characteristic, complemented
21#20246888C211yesmaximal, characteristic, complemented
22#20246863C211yesmaximal, characteristic
23#20246861C211yesmaximal, characteristic
24#20246836C211yesmaximal, characteristic
25#20246053C211yesmaximal, characteristic
26#20245991C211yesmaximal, characteristic, complemented
27#20245988C211yesmaximal, characteristic, complemented
28C4×#13094001C211yesmaximal, characteristic, complemented
29C2×#15689018C211yesmaximal, characteristic, complemented
30C4×D4×Dic47C211yesmaximal, characteristic
31C47×#2322C211yesmaximal, characteristic
32C2×#13094014C2211yescharacteristic
33C2×#13094005C2211yescharacteristic
34C2×#13094001C2211yescharacteristic
35C2×#13094001C2211yescharacteristic
36C2×C4×Dic94C2211yescharacteristic
37C2×D4×Dic47C2211yescharacteristic
38C2×D4×Dic47C2211yescharacteristic
39C22×Dic47⋊C4C2211yescharacteristic
40C22×Dic47⋊C4C2211yescharacteristic
41C22×Dic47⋊C4C2211yescharacteristic
42C22×C4×Dic47C2211yescharacteristic
43C22×C4×Dic47C2211yescharacteristic
44C47⋊#401C2211yescharacteristic
45C47⋊#401C2211yescharacteristic
46#15689065C2211yescharacteristic
47#15689065C2211yescharacteristic
48#15689065C2211yescharacteristic
49#15689065C2211yescharacteristic
50#15689064C2211yescharacteristic
51#15689064C2211yescharacteristic
52#15689064C2211yescharacteristic
53#15689064C2211yescharacteristic
54#15689063C2211yescharacteristic
55#15689063C2211yescharacteristic
56#15689063C2211yescharacteristic
57#15689062C2211yescharacteristic
58#15689062C2211yescharacteristic
59#15689061C2211yescharacteristic
60#15689057C2211yescharacteristic
61#15689056C2211yescharacteristic
62#15689056C2211yescharacteristic
63#15689056C2211yescharacteristic
64#15689055C2211yescharacteristic
65#15689055C2211yescharacteristic
66#15689054C2211yescharacteristic
67#15689053C2211yescharacteristic
68#15689051C2211yescharacteristic
69#15689051C2211yescharacteristic
70#15689051C2211yescharacteristic
71#15689051C2211yescharacteristic
72#15689048C2211yescharacteristic
73#15689048C2211yescharacteristic
74#15689046C2211yescharacteristic
75#15689046C2211yescharacteristic
76#15689027C2211yescharacteristic
77#15689027C2211yescharacteristic
78#15689027C2211yescharacteristic
79#15689027C2211yescharacteristic
80#15689020C2211yescharacteristic
81#15689020C2211yescharacteristic
82#15689020C2211yescharacteristic
83#15689018C2211yescharacteristic
84#15689018C2211yescharacteristic
85#15689018C2211yescharacteristic
86#15689018C2211yescharacteristic
87#15689018C2211yescharacteristic
88#15689018C2211yescharacteristic
89#15689018C2211yescharacteristic
90#15689018C2211yescharacteristic
91#15689018C2211yescharacteristic
92#15689018C2211yescharacteristic
93#15689018C2211yescharacteristic
94#15689018C2211yescharacteristic
95#15689018C2211yescharacteristic
96#15689017C2211yescharacteristic
97#15689017C2211yescharacteristic
98#15689010C2211yescharacteristic
99#15689010C2211yescharacteristic
100#15689009C2211yescharacteristic
101#15689009C2211yescharacteristic
102#15689009C2211yescharacteristic
103#15689009C2211yescharacteristic
104#15689009C2211yescharacteristic
105#15689009C2211yescharacteristic
106#15689009C2211yescharacteristic
107#15689009C2211yescharacteristic
108#15689009C2211yescharacteristic
109#15689008C2211yescharacteristic
110#15689008C2211yescharacteristic
111#15689008C2211yescharacteristic
112#15689007C2211yescharacteristic
113#15689007C2211yescharacteristic
114#15689007C2211yescharacteristic
115#15689007C2211yescharacteristic
116#15689007C2211yescharacteristic
117#15689007C2211yescharacteristic
118#15689006C2211yescharacteristic
119#15689006C2211yescharacteristic
120#15689005C2211yescharacteristic
121#15689005C2211yescharacteristic
122#15689005C2211yescharacteristic
123#15689005C2211yescharacteristic
124#15689005C2211yescharacteristic
125#15689004C2211yescharacteristic
126#15689004C2211yescharacteristic
127#15689004C2211yescharacteristic
128#15689003C2211yescharacteristic
129#15688998C2211yescharacteristic
130#15688998C2211yescharacteristic
131#15688996C2211yescharacteristic
132#15688996C2211yescharacteristic
133#15688995C2211yescharacteristic
134#15688995C2211yescharacteristic
135#15688995C2211yescharacteristic
136#15688990C2211yescharacteristic
137#15688990C2211yescharacteristic
138#15688987C2211yescharacteristic
139#15688987C2211yescharacteristic
140#15688987C2211yescharacteristic
141#15688986C2211yescharacteristic
142#15688986C2211yescharacteristic
143#15688984C2211yescharacteristic
144#15688984C2211yescharacteristic
145#15688984C2211yescharacteristic
146#15688984C2211yescharacteristic
147#15688984C2211yescharacteristic
148#15688983C2211yescharacteristic
149#15688983C2211yescharacteristic
150#15688981C2211yescharacteristic
151#15688981C2211yescharacteristic
152#15688981C2211yescharacteristic
153#15688981C2211yescharacteristic
154#15688981C2211yescharacteristic
155#15688981C2211yescharacteristic
156C4⋊C4×Dic47C2211yescharacteristic
157C4⋊C4×Dic47C2211yescharacteristic
158C4×Dic47⋊C4C2211yescharacteristic
159C4×Dic47⋊C4C2211yescharacteristic
160C4×C4⋊Dic47C2211yescharacteristic
161C4×C4⋊Dic47C2211yescharacteristic
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic
164C22⋊C4×Dic47C2211yescharacteristic
165C22⋊C4×Dic47C2211yescharacteristic
166C4×C22⋊Dic47C2211yescharacteristic
167C4×C22⋊Dic47C2211yescharacteristic
168C4×C22⋊Dic47C2211yescharacteristic
169C2×C47⋊#95C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C2×#123×C47C2211yescharacteristic
173C2×C4×D4×C47C2211yescharacteristic
174C22×C4⋊C4×C47C2211yescharacteristic
175C47×#389C2211yescharacteristic
176C47×#389C2211yescharacteristic
177C47×#388C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#387C2211yescharacteristic
180C47×#387C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#385C2211yescharacteristic
183C47×#385C2211yescharacteristic
184C47×#385C2211yescharacteristic
185C47×#381C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C22×Dic94C2311yescharacteristic
188C23×Dic47C2311yescharacteristic
189C23×Dic47C2311yescharacteristic
190C23×Dic47C2311yescharacteristic
191C23×Dic47C2311yescharacteristic
192C23×Dic47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194#13094014—42no—
195#13094005—24no—
196#13094001—24no—
197#13094001—42no—
198C4×Dic94—42no—
199D4×Dic47—24no—
200D4×Dic47—24no—
201C2×C4⋊Dic47C2311yescharacteristic
202C2×C4⋊Dic47C2311yescharacteristic
203C2×C4⋊Dic47C2311yescharacteristic
204C2×C4⋊Dic47C2311yescharacteristic
205C2×C4⋊Dic47C2311yescharacteristic
206C2×C4⋊Dic47C2311yescharacteristic
207C2×C4⋊Dic47C2311yescharacteristic
208C2×C4⋊Dic47C2311yescharacteristic
209C2×C4⋊Dic47C2311yescharacteristic
210C2×Dic47⋊C4—24no—
211C2×Dic47⋊C4—24no—
212C2×Dic47⋊C4—42no—
213C2×Dic47⋊C4C2311yescharacteristic
214C2×Dic47⋊C4C2311yescharacteristic
215C2×Dic47⋊C4C2311yescharacteristic
216C2×Dic47⋊C4C2311yescharacteristic
217C2×Dic47⋊C4C2311yescharacteristic
218C2×Dic47⋊C4C2311yescharacteristic
219C2×Dic47⋊C4C2311yescharacteristic
220C2×Dic47⋊C4C2311yescharacteristic
221C2×Dic47⋊C4C2311yescharacteristic
222C2×Dic47⋊C4C2311yescharacteristic
223C2×Dic47⋊C4C2311yescharacteristic
224C2×Dic47⋊C4C2311yescharacteristic
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
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×C22⋊Dic47C2311yescharacteristic
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×C4×Dic47—42no—
250C2×C4×Dic47—42no—
251C2×C4×Dic47C2311yescharacteristic
252C2×C4×Dic47C2311yescharacteristic
253C2×C4×Dic47C2311yescharacteristic
254C2×C4×Dic47C2311yescharacteristic
255C2×C4×Dic47C2311yescharacteristic
256C2×C4×Dic47C2311yescharacteristic
257C2×C4×Dic47C2311yescharacteristic
258C2×C4×Dic47C2311yescharacteristic
259C2×C4×Dic47C2311yescharacteristic
260C2×C4×Dic47C2311yescharacteristic
261C2×C4×Dic47C2311yescharacteristic
262C2×C4×Dic47C2311yescharacteristic
263C2×C4×Dic47C2311yescharacteristic
264C2×C4×Dic47C2311yescharacteristic
265C47⋊#95C2311yescharacteristic
266C47⋊#95C2311yescharacteristic
267C47⋊#95C2311yescharacteristic
268C47⋊#95C2311yescharacteristic
269C47⋊#95C2311yescharacteristic
270C47⋊#95C2311yescharacteristic
271C47⋊#95C2311yescharacteristic
272C47⋊#95C2311yescharacteristic
273C47⋊#95C2311yescharacteristic
274C47⋊#95C2311yescharacteristic
275C47⋊#95C2311yescharacteristic
276C47⋊#95C2311yescharacteristic
277C47⋊#95C2311yescharacteristic
278C47⋊#95C2311yescharacteristic
279C47⋊#95C2311yescharacteristic
280C47⋊#95C2311yescharacteristic
281C47⋊#95C2311yescharacteristic
282C47⋊#95C2311yescharacteristic
283C47⋊#95C2311yescharacteristic
284C47⋊#95C2311yescharacteristic
285C47⋊#95C2311yescharacteristic
286C47⋊#95C2311yescharacteristic
287C47⋊#95C2311yescharacteristic
288C47⋊#95C2311yescharacteristic
289C47⋊#95C2311yescharacteristic
290C47⋊#95C2311yescharacteristic
291C47⋊#95C2311yescharacteristic
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
319C22×D4×C47C2311yescharacteristic
320C23×C4×C47C2311yescharacteristic
321C23×C4×C47C2311yescharacteristic
322C23×C4×C47C2311yescharacteristic
323C23×C4×C47C2311yescharacteristic
324#123×C47—24no—
325C4×D4×C47—24no—
326C2×C4⋊C4×C47—24no—
327C2×C4⋊C4×C47C2311yescharacteristic
328C2×C4⋊C4×C47C2311yescharacteristic
329C2×C4⋊C4×C47C2311yescharacteristic
330C2×C4⋊C4×C47C2311yescharacteristic
331C2×C4⋊C4×C47C2311yescharacteristic
332C2×C4⋊C4×C47C2311yescharacteristic
333C2×C4⋊C4×C47C2311yescharacteristic
334C2×C4⋊C4×C47C2311yescharacteristic
335C2×C4⋊C4×C47C2311yescharacteristic
336C2×C22⋊C4×C47C2311yescharacteristic
337C2×C22⋊C4×C47C2311yescharacteristic
338C2×C22⋊C4×C47C2311yescharacteristic
339C2×C22⋊C4×C47C2311yescharacteristic
340C2×C22⋊C4×C47C2311yescharacteristic
341C2×C22⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C42×C47C2311yescharacteristic
345C2×C42×C47C2311yescharacteristic
346C2×C42×C47C2311yescharacteristic
347#95×C47C2311yescharacteristic
348#95×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357C24×C47C2411yescharacteristic
358C24×C47C2411yescharacteristic
359C2×D4×C47—22no—
360C2×D4×C47—22no—
361C2×D4×C47#4114yes—
362C22×C4×C47—22no—
363C22×C4×C47—22no—
364C22×C4×C47—22no—
365C22×C4×C47—22no—
366C22×C4×C47—22no—
367C22×C4×C47—41no—
368C22×C4×C47—41no—
369C22×C4×C47—41no—
370C22×C4×C47—41no—
371C22×C4×C47—41no—
372C22×C4×C47—41no—
373C22×C4×C47#4114yes—
374C22×C4×C47C2411yescharacteristic
375C22×C4×C47C2411yescharacteristic
376C22×C4×C47C2411yescharacteristic
377C22×C4×C47C2411yescharacteristic
378C22×C4×C47C2411yescharacteristic
379C22×C4×C47C2411yescharacteristic
380C22×C4×C47C2411yescharacteristic
381C22×C4×C47C2411yescharacteristic
382C22×C4×C47C2411yescharacteristic
383C22×C4×C47C2411yescharacteristic
384C22×C4×C47C2411yescharacteristic
385C22×C4×C47C2411yescharacteristic
386C22×C4×C47C2411yescharacteristic
387C22×Dic47—22no—
388C22×Dic47—22no—
389C22×Dic47—22no—
390C22×Dic47—22no—
391C22×Dic47—22no—
392C22×Dic47—22no—
393C22×Dic47—22no—
394C22×Dic47—22no—
395C22×Dic47—22no—
396C22×Dic47—22no—
397C22×Dic47—22no—
398C22×Dic47—22no—
399C22×Dic47—22no—
400C22×Dic47—41no—
401C22×Dic47—41no—
402C22×Dic47—41no—
403C22×Dic47—41no—
404C22×Dic47#4114yes—
405C22×Dic47C2411yescharacteristic
406C22×Dic47C2411yescharacteristic
407C22×Dic47C2411yescharacteristic
408C22×Dic47C2411yescharacteristic
409C22×Dic47C2411yescharacteristic
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C2×Dic94—22no—
422C2×Dic94—22no—
423C2×Dic94—22no—
424C4⋊C4×C47—22no—
425C4⋊C4×C47—22no—
426C4⋊C4×C47—22no—
427C4⋊C4×C47—22no—
428C4⋊C4×C47—22no—
429C4⋊C4×C47—22no—
430C4⋊C4×C47—22no—
431C4⋊C4×C47—41no—
432C4⋊C4×C47—41no—
433C22⋊C4×C47—22no—
434C22⋊C4×C47—22no—
435C22⋊C4×C47—22no—
436C22⋊C4×C47—22no—
437C22⋊C4×C47—22no—
438C22⋊C4×C47—22no—
439C22⋊C4×C47—41no—
440C22⋊C4×C47—41no—
441C42×C47—22no—
442C42×C47—41no—
443C42×C47—41no—
444C22⋊Dic47—22no—
445C22⋊Dic47—22no—
446C22⋊Dic47—22no—
447C22⋊Dic47—22no—
448C22⋊Dic47—22no—
449C22⋊Dic47—22no—
450C22⋊Dic47—22no—
451C22⋊Dic47—22no—
452C22⋊Dic47—41no—
453C22⋊Dic47—41no—
454C4⋊Dic47—22no—
455C4⋊Dic47—22no—
456C4⋊Dic47—22no—
457C4⋊Dic47—22no—
458C4⋊Dic47—41no—
459C4⋊Dic47—41no—
460C4⋊Dic47—41no—
461C4⋊Dic47—41no—
462C4⋊Dic47—41no—
463Dic47⋊C4—22no—
464Dic47⋊C4—22no—
465Dic47⋊C4—22no—
466Dic47⋊C4—22no—
467Dic47⋊C4—22no—
468Dic47⋊C4—22no—
469Dic47⋊C4—22no—
470Dic47⋊C4—22no—
471Dic47⋊C4—22no—
472Dic47⋊C4—22no—
473Dic47⋊C4—22no—
474Dic47⋊C4—22no—
475Dic47⋊C4—22no—
476Dic47⋊C4—22no—
477Dic47⋊C4—22no—
478Dic47⋊C4—22no—
479Dic47⋊C4—22no—
480Dic47⋊C4—41no—
481Dic47⋊C4—41no—
482Dic47⋊C4—41no—
483Dic47⋊C4—41no—
484Dic47⋊C4—41no—
485Dic47⋊C4—41no—
486Dic47⋊C4—41no—
487Dic47⋊C4—41no—
488Dic47⋊C4—41no—
489C4×Dic47—22no—
490C4×Dic47—22no—
491C4×Dic47—22no—
492C4×Dic47—22no—
493C4×Dic47—22no—
494C4×Dic47—22no—
495C4×Dic47—22no—
496C4×Dic47—41no—
497C4×Dic47—41no—
498C4×Dic47—41no—
499C4×Dic47—41no—
500C4×Dic47—41no—
501C4×Dic47—41no—
502C4×Dic47—41no—
503C23×C47—21no—
504C23×C47—21no—
505C23×C47—21no—
506C23×C47—21no—
507C23×C47—21no—
508C23×C47—21no—
509C23×C47—21no—
510C23×C47—21no—
511C23×C47—21no—
512C23×C47—21no—
513C23×C47C2×#4112yes—
514C23×C47C2×#4112yes—
515C23×C47C2×#4112yes—
516C23×C47C2×#4112yes—
517C23×C47C2511yescharacteristic
518D4×C47—28no—
519C2×C4×C47—21no—
520C2×C4×C47—21no—
521C2×C4×C47—21no—
522C2×C4×C47—21no—
523C2×C4×C47—21no—
524C2×C4×C47—21no—
525C2×C4×C47—21no—
526C2×C4×C47—21no—
527C2×C4×C47—21no—
528C2×C4×C47—21no—
529C2×C4×C47—21no—
530C2×C4×C47—21no—
531C2×C4×C47—21no—
532C2×C4×C47—21no—
533C2×C4×C47—21no—
534C2×C4×C47—21no—
535C2×C4×C47—21no—
536C2×C4×C47—21no—
537C2×C4×C47—21no—
538C2×C4×C47—21no—
539C2×C4×C47—21no—
540C2×C4×C47—21no—
541C2×C4×C47—21no—
542C2×C4×C47—21no—
543C2×C4×C47—21no—
544C2×C4×C47—21no—
545C2×C4×C47—21no—
546C2×C4×C47—21no—
547C2×C4×C47—21no—
548C2×C4×C47—21no—
549C2×C4×C47—21no—
550C2×C4×C47—21no—
551C2×C4×C47—21no—
552C2×C4×C47—21no—
553C2×C4×C47—21no—
554C2×C4×C47—21no—
555C2×C4×C47—44no—
556C2×C4×C47—44no—
557C2×C4×C47—44no—
558C2×C4×C47—82no—
559C2×C4×C47C2×#4112yes—
560C2×C4×C47C2×#4112yes—
561C2×C4×C47C2×#4112yes—
562C2×Dic47—21no—
563C2×Dic47—21no—
564C2×Dic47—21no—
565C2×Dic47—21no—
566C2×Dic47—28no—
567C2×Dic47—21no—
568C2×Dic47—21no—
569C2×Dic47—21no—
570C2×Dic47—21no—
571C2×Dic47—21no—
572C2×Dic47—21no—
573C2×Dic47—21no—
574C2×Dic47—21no—
575C2×Dic47—21no—
576C2×Dic47—21no—
577C2×Dic47—21no—
578C2×Dic47—21no—
579C2×Dic47—21no—
580C2×Dic47—21no—
581C2×Dic47—21no—
582C2×Dic47—21no—
583C2×Dic47—21no—
584C2×Dic47—21no—
585C2×Dic47—21no—
586C2×Dic47—21no—
587C2×Dic47—21no—
588C2×Dic47—21no—
589C2×Dic47—21no—
590C2×Dic47—21no—
591C2×Dic47—21no—
592C2×Dic47—21no—
593C2×Dic47—21no—
594C2×Dic47—21no—
595C2×Dic47—21no—
596C2×Dic47—21no—
597C2×Dic47—21no—
598C2×Dic47—21no—
599C2×Dic47—21no—
600C2×Dic47—21no—
601C2×Dic47—21no—
602C2×Dic47—21no—
603C2×Dic47—21no—
604C2×Dic47—21no—
605C2×Dic47—21no—
606C2×Dic47—44no—
607C2×Dic47—44no—
608C2×Dic47—44no—
609C2×Dic47—44no—
610C2×Dic47—82no—
611C2×Dic47C2×#4112yes—
612C2×Dic47C2×#4112yes—
613C2×Dic47H(5,𝔽2)12yes—
614C2×Dic472−1+412yes—
615C2×Dic472−1+412yes—
616Dic94—44no—
617#35026—471nomaximal, Sylow
618C22×C47—22no—
619C22×C47—22no—
620C22×C47—22no—
621C22×C47—22no—
622C22×C47—22no—
623C22×C47—22no—
624C22×C47—22no—
625C22×C47—22no—
626C22×C47—22no—
627C22×C47—41no—
628C22×C47—41no—
629C22×C47—41no—
630C22×C47—41no—
631C22×C47#52914yes—
632C22×C47C22×#4111yescharacteristic
633C22×C47C22×#4111yescharacteristic
634C22×C47C22×#4111yescharacteristic
635C22×C47C2×H(5,𝔽2)11yescharacteristic
636C22×C47C2×2−1+411yescharacteristic
637C22×C47C2×2−1+411yescharacteristic
638C22×C47#58511yescharacteristic
639C4×C47—22no—
640C4×C47—22no—
641C4×C47—22no—
642C4×C47—41no—
643C4×C47—41no—
644C4×C47—41no—
645C4×C47—41no—
646C4×C47—41no—
647C4×C47—41no—
648C4×C47—41no—
649C4×C47—41no—
650C4×C47—41no—
651C4×C47—41no—
652Dic47—22no—
653Dic47—22no—
654Dic47—41no—
655Dic47—41no—
656Dic47—41no—
657Dic47—41no—
658Dic47—41no—
659Dic47—41no—
660Dic47—41no—
661Dic47—41no—
662Dic47—41no—
663Dic47—41no—
664Dic47—41no—
665Dic47—41no—
666Dic47—41no—
667Dic47#53914yes—
668#2864—471no—
669#2863—471no—
670#2855—471no—
671#2851—471no—
672#2655—471no—
673#2655—471no—
674#2652—471no—
675#2652—471no—
676#2585—471no—
677#2585—471no—
678#2573—471no—
679#2573—471no—
680#2509—471no—
681#2503—471no—
682#2494—471no—
683#2493—471no—
684#2493—471no—
685#2486—471no—
686#2453—471no—
687#2442—471no—
688#2421—471no—
689#2419—471no—
690#2419—471no—
691#2417—471no—
692#2322—471no—
693#2322D4711yescharacteristic
694#2313—471no—
695#2313—471no—
696C4×C22⋊Q8—471no—
697C2×#389—471no—
698C42×D4—471no—
699C2×C47—24no—
700C2×C47—42no—
701C2×C47C2×#52911yescharacteristic
702C2×C47C2×#53911yescharacteristic
703C2×C47#346111yescharacteristic
704C2×C47#350511yescharacteristic
705C2×C47#350911yescharacteristic
706C2×C47#351511yescharacteristic
707C2×C47#352011yescharacteristic
708C2×#125—471no—
709C2×#123—471no—
710C2×#123C2×D4711yescharacteristic
711C2×C22⋊Q8—471no—
712C2×C22⋊Q8—471no—
713C2×C4×Q8—471no—
714C2×C4×D4—471no—
715C2×C4×D4—471no—
716C2×C4×D4C2×D4711yescharacteristic
717C22×C4⋊C4—471no—
718C22×C4⋊C4—471no—
719C22×C4⋊C4—471no—
720C22×C4⋊C4C2×D4711yescharacteristic
721C22×C42—471no—
722C22×C42—471no—
723#401—471no—
724#401—471no—
725#400—471no—
726#400—471no—
727#400—471no—
728#400—471no—
729#400—471no—
730#400—471no—
731#400—471no—
732#400—471no—
733#400—471no—
734#400—471no—
735#400—471no—
736#400—471no—
737#400—471no—
738#400—471no—
739#398—471no—
740#398—471no—
741#398—471no—
742#398—471no—
743#398—471no—
744#398—471no—
745#398—471no—
746#398—471no—
747#397—471no—
748#397—471no—
749#397—471no—
750#397—471no—
751#397—471no—
752#397—471no—
753#396—471no—
754#396—471no—
755#391—471no—
756#391—471no—
757#391—471no—
758#391—471no—
759#389—471no—
760#389—471no—
761#389—471no—
762#389—471no—
763#389—471no—
764#389—471no—
765#389—471no—
766#389—471no—
767#389—471no—
768#389—471no—
769#389—471no—
770#389—471no—
771#389—471no—
772#389—471no—
773#389—471no—
774#389—471no—
775#389C2×D4711yescharacteristic
776#389C2×D4711yescharacteristic
777#388—471no—
778#388—471no—
779#388C2×D4711yescharacteristic
780#388C2×D4711yescharacteristic
781#387—471no—
782#387—471no—
783#387—471no—
784#387—471no—
785#387—471no—
786#387—471no—
787#387—471no—
788#387—471no—
789#387—471no—
790#387—471no—
791#387—471no—
792#387—471no—
793#387—471no—
794#387—471no—
795#387—471no—
796#387—471no—
797#387—471no—
798#387—471no—
799#387—471no—
800#387—471no—
801#387—471no—
802#387—471no—
803#387—471no—
804#387—471no—
805#387—471no—
806#387—471no—
807#387—471no—
808#387—471no—
809#387—471no—
810#387—471no—
811#387C2×D4711yescharacteristic
812#387C2×D4711yescharacteristic
813#386—471no—
814#386C2×D4711yescharacteristic
815#385—471no—
816#385—471no—
817#385—471no—
818#385—471no—
819#385—471no—
820#385—471no—
821#385—471no—
822#385C2×D4711yescharacteristic
823#385C2×D4711yescharacteristic
824#385C2×D4711yescharacteristic
825#383—471no—
826#383—471no—
827#382—471no—
828#382—471no—
829#382—471no—
830#381—471no—
831#381—471no—
832#381—471no—
833#381—471no—
834#381—471no—
835#381—471no—
836#381—471no—
837#381C2×D4711yescharacteristic
838#380—471no—
839#380—471no—
840#380—471no—
841#380—471no—
842#380—471no—
843#380—471no—
844#380—471no—
845#380—471no—
846C4×C4⋊C4—471no—
847C4×C4⋊C4—471no—
848C4×C4⋊C4—471no—
849C4×C4⋊C4—471no—
850C4×C4⋊C4—471no—
851C4×C4⋊C4—471no—
852C4×C22⋊C4—471no—
853C4×C22⋊C4—471no—
854C4×C22⋊C4—471no—
855C4×C22⋊C4—471no—
856C4×C22⋊C4—471no—
857C4×C22⋊C4—471no—
858C4×C22⋊C4—471no—
859C4×C22⋊C4C2×D4711yescharacteristic
860C2×#95—471no—
861C2×#95—471no—
862C43—471no—
863C47#3502611yescharacteristic, complemented, Sylow
864C22×Q8—471no—
865C22×D4C22×D4711yescharacteristic
866C23×C4—471no—
867C23×C4—471no—
868C23×C4—471no—
869C23×C4—471no—
870C23×C4—471no—
871C23×C4—471no—
872C23×C4C22×D4711yescharacteristic
873C23×C4C22×D4711yescharacteristic
874C23×C4C22×D4711yescharacteristic
875C23×C4C22×D4711yescharacteristic
876#125—1882no—
877#123—24no—
878#123—944no—
879C22⋊Q8—944no—
880C22⋊Q8—1882no—
881C4×Q8—1882no—
882C4×D4—24no—
883C4×D4—944no—
884C4×D4—944no—
885C2×C4⋊C4—24no—
886C2×C4⋊C4—471no—
887C2×C4⋊C4—471no—
888C2×C4⋊C4—471no—
889C2×C4⋊C4—471no—
890C2×C4⋊C4—471no—
891C2×C4⋊C4—471no—
892C2×C4⋊C4—471no—
893C2×C4⋊C4—471no—
894C2×C4⋊C4—471no—
895C2×C4⋊C4—471no—
896C2×C4⋊C4—471no—
897C2×C4⋊C4—471no—
898C2×C4⋊C4—471no—
899C2×C4⋊C4—471no—
900C2×C4⋊C4—471no—
901C2×C4⋊C4—471no—
902C2×C4⋊C4—471no—
903C2×C4⋊C4—471no—
904C2×C4⋊C4—471no—
905C2×C4⋊C4—471no—
906C2×C4⋊C4—471no—
907C2×C4⋊C4—471no—
908C2×C4⋊C4—471no—
909C2×C4⋊C4—471no—
910C2×C4⋊C4—471no—
911C2×C4⋊C4—471no—
912C2×C4⋊C4—471no—
913C2×C4⋊C4—471no—
914C2×C4⋊C4—471no—
915C2×C4⋊C4—471no—
916C2×C4⋊C4—471no—
917C2×C4⋊C4—471no—
918C2×C4⋊C4—471no—
919C2×C4⋊C4—471no—
920C2×C4⋊C4—471no—
921C2×C4⋊C4—944no—
922C2×C4⋊C4—944no—
923C2×C4⋊C4—1882no—
924C2×C4⋊C4C22×D4711yescharacteristic
925C2×C4⋊C4C22×D4711yescharacteristic
926C2×C4⋊C4C22×D4711yescharacteristic
927C2×C4⋊C4C22×D4711yescharacteristic
928C2×C4⋊C4C22×D4711yescharacteristic
929C2×C4⋊C4C22×D4711yescharacteristic
930C2×C4⋊C4C22×D4711yescharacteristic
931C2×C4⋊C4C22×D4711yescharacteristic
932C2×C4⋊C4C22×D4711yescharacteristic
933C2×C22⋊C4—471no—
934C2×C22⋊C4—471no—
935C2×C22⋊C4—471no—
936C2×C22⋊C4—471no—
937C2×C22⋊C4—471no—
938C2×C22⋊C4—471no—
939C2×C22⋊C4—471no—
940C2×C22⋊C4—471no—
941C2×C22⋊C4—471no—
942C2×C22⋊C4—471no—
943C2×C22⋊C4C22×D4711yescharacteristic
944C2×C22⋊C4C22×D4711yescharacteristic
945C2×C22⋊C4C22×D4711yescharacteristic
946C2×C22⋊C4C22×D4711yescharacteristic
947C2×C22⋊C4C22×D4711yescharacteristic
948C2×C22⋊C4C22×D4711yescharacteristic
949C2×C22⋊C4C22×D4711yescharacteristic
950C2×C22⋊C4C22×D4711yescharacteristic
951C2×C42—471no—
952C2×C42—471no—
953C2×C42—471no—
954C2×C42—471no—
955C2×C42—471no—
956C2×C42—471no—
957C2×C42—471no—
958C2×C42—471no—
959C2×C42—471no—
960C2×C42—471no—
961C2×C42—471no—
962C2×C42—471no—
963C2×C42—471no—
964C2×C42—471no—
965C2×C42—1882no—
966C2×C42—1882no—
967C2×C42C22×D4711yescharacteristic
968C2×C42C22×D4711yescharacteristic
969C2×C42C22×D4711yescharacteristic
970#95—471no—
971#95—471no—
972#95—471no—
973#95—471no—
974#95—471no—
975#95—471no—
976#95—471no—
977#95—471no—
978#95—471no—
979#95—471no—
980#95—471no—
981#95—471no—
982#95—471no—
983#95—471no—
984#95—471no—
985#95—471no—
986#95—471no—
987#95—471no—
988#95—471no—
989#95—471no—
990#95—471no—
991#95—471no—
992#95—471no—
993#95—471no—
994#95—471no—
995#95—471no—
996#95—471no—
997#95—471no—
998#95—471no—
999#95—471no—
1000#95—471no—
1001#95—471no—
1002#95—471no—
1003#95—471no—
1004#95—471no—
1005#95—471no—
1006#95—471no—
1007#95—471no—
1008#95—471no—
1009#95—471no—
1010#95—471no—
1011#95—471no—
1012#95—471no—
1013#95—471no—
1014#95—471no—
1015#95—471no—
1016#95—471no—
1017#95—471no—
1018#95—471no—
1019#95—471no—
1020#95—471no—
1021#95—471no—
1022#95—471no—
1023#95—471no—
1024#95C22×D4711yescharacteristic
1025#95C22×D4711yescharacteristic
1026#95C22×D4711yescharacteristic
1027#95C22×D4711yescharacteristic
1028#95C22×D4711yescharacteristic
1029#95C22×D4711yescharacteristic
1030#95C22×D4711yescharacteristic
1031#95C22×D4711yescharacteristic
1032#95C22×D4711yescharacteristic
1033#95C22×D4711yescharacteristic
1034C24C23×D4711yescharacteristic
1035C24C23×D4711yescharacteristic
1036C2×Q8—942no—
1037C2×Q8—942no—
1038C2×Q8—942no—
1039C2×D4—22no—
1040C2×D4—22no—
1041C2×D4#1062535014yes—
1042C22×C4—22no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—41no—
1052C22×C4—41no—
1053C22×C4—471no—
1054C22×C4—474no—
1055C22×C4—471no—
1056C22×C4—471no—
1057C22×C4—471no—
1058C22×C4—471no—
1059C22×C4—471no—
1060C22×C4—471no—
1061C22×C4—471no—
1062C22×C4—471no—
1063C22×C4—471no—
1064C22×C4—471no—
1065C22×C4—471no—
1066C22×C4—471no—
1067C22×C4—471no—
1068C22×C4—471no—
1069C22×C4—471no—
1070C22×C4—942no—
1071C22×C4—942no—
1072C22×C4—942no—
1073C22×C4—942no—
1074C22×C4—942no—
1075C22×C4—942no—
1076C22×C4—942no—
1077C22×C4—942no—
1078C22×C4—942no—
1079C22×C4—942no—
1080C22×C4—942no—
1081C22×C4—942no—
1082C22×C4—942no—
1083C22×C4—1881no—
1084C22×C4—1881no—
1085C22×C4—1881no—
1086C22×C4—1881no—
1087C22×C4#1062535214yes—
1088C22×C4C23×D4711yescharacteristic
1089C22×C4C23×D4711yescharacteristic
1090C22×C4C23×D4711yescharacteristic
1091C22×C4C23×D4711yescharacteristic
1092C22×C4C23×D4711yescharacteristic
1093C22×C4C23×D4711yescharacteristic
1094C22×C4C23×D4711yescharacteristic
1095C22×C4C23×D4711yescharacteristic
1096C22×C4C23×D4711yescharacteristic
1097C22×C4C23×D4711yescharacteristic
1098C22×C4C23×D4711yescharacteristic
1099C22×C4C23×D4711yescharacteristic
1100C22×C4C23×D4711yescharacteristic
1101C4⋊C4—22no—
1102C4⋊C4—22no—
1103C4⋊C4—22no—
1104C4⋊C4—22no—
1105C4⋊C4—22no—
1106C4⋊C4—22no—
1107C4⋊C4—22no—
1108C4⋊C4—41no—
1109C4⋊C4—41no—
1110C4⋊C4—942no—
1111C4⋊C4—942no—
1112C4⋊C4—942no—
1113C4⋊C4—942no—
1114C4⋊C4—942no—
1115C4⋊C4—942no—
1116C4⋊C4—942no—
1117C4⋊C4—942no—
1118C4⋊C4—942no—
1119C4⋊C4—942no—
1120C4⋊C4—942no—
1121C4⋊C4—942no—
1122C4⋊C4—942no—
1123C4⋊C4—942no—
1124C4⋊C4—942no—
1125C4⋊C4—942no—
1126C4⋊C4—942no—
1127C4⋊C4—942no—
1128C4⋊C4—942no—
1129C4⋊C4—942no—
1130C4⋊C4—942no—
1131C4⋊C4—1881no—
1132C4⋊C4—1881no—
1133C4⋊C4—1881no—
1134C4⋊C4—1881no—
1135C4⋊C4—1881no—
1136C4⋊C4—1881no—
1137C4⋊C4—1881no—
1138C4⋊C4—1881no—
1139C4⋊C4—1881no—
1140C4⋊C4—1881no—
1141C4⋊C4—1881no—
1142C4⋊C4—1881no—
1143C4⋊C4—1881no—
1144C4⋊C4—1881no—
1145C22⋊C4—22no—
1146C22⋊C4—22no—
1147C22⋊C4—22no—
1148C22⋊C4—22no—
1149C22⋊C4—22no—
1150C22⋊C4—22no—
1151C22⋊C4—41no—
1152C22⋊C4—41no—
1153C22⋊C4—942no—
1154C22⋊C4—942no—
1155C22⋊C4—942no—
1156C22⋊C4—942no—
1157C22⋊C4—942no—
1158C22⋊C4—942no—
1159C22⋊C4—942no—
1160C22⋊C4—942no—
1161C22⋊C4—1881no—
1162C22⋊C4—1881no—
1163C42—22no—
1164C42—41no—
1165C42—41no—
1166C42—942no—
1167C42—942no—
1168C42—942no—
1169C42—942no—
1170C42—942no—
1171C42—942no—
1172C42—942no—
1173C42—1881no—
1174C42—1881no—
1175C42—1881no—
1176C42—1881no—
1177C42—1881no—
1178C42—1881no—
1179C42—1881no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23#41×D4712yes—
1191C23C2×#1062535212yes—
1192C23C2×#1062535012yes—
1193C23C2×#1062535012yes—
1194C23C24×D4711yescharacteristic
1195Q8—1884no—
1196D4—28no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—44no—
1234C2×C4—44no—
1235C2×C4—44no—
1236C2×C4—82no—
1237C2×C4—472no—
1238C2×C4—472no—
1239C2×C4—472no—
1240C2×C4—472no—
1241C2×C4—472no—
1242C2×C4—948no—
1243C2×C4—941no—
1244C2×C4—941no—
1245C2×C4—941no—
1246C2×C4—941no—
1247C2×C4—941no—
1248C2×C4—941no—
1249C2×C4—941no—
1250C2×C4—941no—
1251C2×C4—941no—
1252C2×C4—941no—
1253C2×C4—941no—
1254C2×C4—941no—
1255C2×C4—941no—
1256C2×C4—941no—
1257C2×C4—941no—
1258C2×C4—941no—
1259C2×C4—941no—
1260C2×C4—941no—
1261C2×C4—941no—
1262C2×C4—941no—
1263C2×C4—941no—
1264C2×C4—941no—
1265C2×C4—941no—
1266C2×C4—941no—
1267C2×C4—941no—
1268C2×C4—941no—
1269C2×C4—941no—
1270C2×C4—941no—
1271C2×C4—941no—
1272C2×C4—941no—
1273C2×C4—941no—
1274C2×C4—941no—
1275C2×C4—941no—
1276C2×C4—941no—
1277C2×C4—941no—
1278C2×C4—941no—
1279C2×C4—941no—
1280C2×C4—941no—
1281C2×C4—941no—
1282C2×C4—941no—
1283C2×C4—941no—
1284C2×C4—941no—
1285C2×C4—941no—
1286C2×C4—3762no—
1287C2×C4—1884no—
1288C2×C4—1884no—
1289C2×C4—1884no—
1290C2×C4—1884no—
1291C2×C4C2×#1062535212yes—
1292C2×C4C2×#1062535212yes—
1293C2×C4C2×#1062535012yes—
1294C22—22no—
1295C22—22no—
1296C22—22no—
1297C22—22no—
1298C22—22no—
1299C22—22no—
1300C22—22no—
1301C22—22no—
1302C22—22no—
1303C22—41no—
1304C22—41no—
1305C22—41no—
1306C22—41no—
1307C22#1568965314yes—
1308C22C2×#41×D4711yescharacteristic
1309C22C22×#1062535211yescharacteristic
1310C22C22×#1062535011yescharacteristic
1311C22H(5,𝔽2)×D4711yescharacteristic
1312C222−1+4×D4711yescharacteristic
1313C222−1+4×D4711yescharacteristic
1314C22#1568995811yescharacteristic
1315C4—22no—
1316C4—22no—
1317C4—22no—
1318C4—41no—
1319C4—41no—
1320C4—41no—
1321C4—41no—
1322C4—41no—
1323C4—41no—
1324C4—41no—
1325C4—41no—
1326C4—41no—
1327C4—41no—
1328C4—474no—
1329C4—942no—
1330C4—942no—
1331C4—1881no—
1332C4—1881no—
1333C4—1881no—
1334C4—1881no—
1335C4—1881no—
1336C4—1881no—
1337C4—1881no—
1338C4—1881no—
1339C4—1881no—
1340C4—1881no—
1341C4—1881no—
1342C4—1881no—
1343C4—1881no—
1344C2—24no—
1345C2—42no—
1346C2C2×#1568965311yescharacteristic
1347C2#539×D4711yescharacteristic
1348C2#2025681811yescharacteristic
1349C2#2025722511yescharacteristic
1350C2#2025727311yescharacteristic
1351C2#2025735611yescharacteristic
1352C2#2025742711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2322C2
prime radicalC22×D4×C47C23
hypercenter#2322D47
hypocenterC47#35026
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2322

Complements

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

NH ≅ G/Ntype
1. #20251772C2semidirect
2. #20251769C2semidirect
3. #20251724C2semidirect
4. #20251694C2semidirect
5. #20249483C2semidirect
6. #20249481C2semidirect
7. #20249438C2semidirect
8. #20249436C2semidirect
9. #20248790C2semidirect
10. #20248782C2semidirect
11. #20248652C2semidirect
12. #20248644C2semidirect
13. #20247934C2semidirect
14. #20247871C2semidirect
15. #20247785C2semidirect
16. #20247771C2semidirect
17. #20247769C2semidirect
19. #20247246C2semidirect
20. #20247111C2semidirect
21. #20246888C2semidirect
26. #20245991C2semidirect
27. #20245988C2semidirect
28. C4×#13094001C2semidirect
29. C2×#15689018C2semidirect
863. C47#35026semidirect

Maximal subgroups

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

subgroupindex
#202517722
#202517692
#202517242
#202516942
#202494832
#202494812
#202494382
#202494362
#202487902
#202487822
#202486522
#202486442
#202479342
#202478712
#202477852
#202477712
#202477692
#202476932
#202472462
#202471112
#202468882
#202468632
#202468612
#202468362
#202460532
#202459912
#202459882
C4×#130940012
C2×#156890182
C4×D4×Dic472
C47×#23222
#3502647