Finite Group Databasebeta

← #26421993

Subgroups — #26421993

Order 12032.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251757C211yesmaximal, characteristic, complemented
2#20251757C211yesmaximal, characteristic, complemented
3#20251742C211yesmaximal, characteristic
4#20248940C211yesmaximal, characteristic, complemented
5#20248939C211yesmaximal, characteristic, complemented
6#20248932C211yesmaximal, characteristic, complemented
7#20248885C211yesmaximal, characteristic, complemented
8#20248883C211yesmaximal, characteristic, complemented
9#20248882C211yesmaximal, characteristic, complemented
10#20248880C211yesmaximal, characteristic, complemented
11#20248872C211yesmaximal, characteristic, complemented
12#20248872C211yesmaximal, characteristic, complemented
13#20247317C211yesmaximal, characteristic, complemented
14#20247316C211yesmaximal, characteristic, complemented
15#20247315C211yesmaximal, characteristic, complemented
16#20247314C211yesmaximal, characteristic, complemented
17#20247161C211yesmaximal, characteristic, complemented
18#20247159C211yesmaximal, characteristic, complemented
19#20247150C211yesmaximal, characteristic
20#20247148C211yesmaximal, characteristic
21#20246521C211yesmaximal, characteristic, complemented
22#20246520C211yesmaximal, characteristic, complemented
23#20246519C211yesmaximal, characteristic, complemented
24#20246516C211yesmaximal, characteristic, complemented
25#20246462C211yesmaximal, characteristic, complemented
26#20246456C211yesmaximal, characteristic, complemented
27#20245945C211yesmaximal, characteristic, complemented
28#20245929C211yesmaximal, characteristic, complemented
29C4×#13094010C211yesmaximal, characteristic, complemented
30C4×#13093989C211yesmaximal, characteristic, complemented
31C47×#2597C211yesmaximal, characteristic, complemented
32C2×#13094023C2211yescharacteristic
33C2×#13094020C2211yescharacteristic
34C2×#13094014C2211yescharacteristic
35C2×#13094010C2211yescharacteristic
36C2×#13094010C2211yescharacteristic
37C2×#13094010C2211yescharacteristic
38C2×#13094010C2211yescharacteristic
39C2×#13094009C2211yescharacteristic
40C2×#13094007C2211yescharacteristic
41C2×#13094006C2211yescharacteristic
42C2×#13094005C2211yescharacteristic
43C2×C4×Dic94C2211yescharacteristic
44C2×C4×Dic94C2211yescharacteristic
45C2×#13093989C2211yescharacteristic
46C2×#13093989C2211yescharacteristic
47C2×#13093989C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic
49C2×(C22⋊D47)⋊C4C2211yescharacteristic
50#15689065C2211yescharacteristic
51#15689064C2211yescharacteristic
52#15689063C2211yescharacteristic
53#15689057C2211yescharacteristic
54#15689056C2211yescharacteristic
55#15689054C2211yescharacteristic
56#15689053C2211yescharacteristic
57#15689049C2211yescharacteristic
58#15689049C2211yescharacteristic
59#15689041C2211yescharacteristic
60#15689041C2211yescharacteristic
61#15689039C2211yescharacteristic
62#15689038C2211yescharacteristic
63#15689038C2211yescharacteristic
64#15689038C2211yescharacteristic
65#15689037C2211yescharacteristic
66#15689036C2211yescharacteristic
67#15689036C2211yescharacteristic
68#15689035C2211yescharacteristic
69#15689035C2211yescharacteristic
70#15689027C2211yescharacteristic
71#15689027C2211yescharacteristic
72#15689027C2211yescharacteristic
73#15689027C2211yescharacteristic
74#15689027C2211yescharacteristic
75#15689027C2211yescharacteristic
76#15689026C2211yescharacteristic
77#15689025C2211yescharacteristic
78#15689024C2211yescharacteristic
79#15689023C2211yescharacteristic
80#15689023C2211yescharacteristic
81#15689023C2211yescharacteristic
82#15689023C2211yescharacteristic
83#15689023C2211yescharacteristic
84#15689023C2211yescharacteristic
85#15689023C2211yescharacteristic
86#15689023C2211yescharacteristic
87#15689023C2211yescharacteristic
88#15689023C2211yescharacteristic
89#15689020C2211yescharacteristic
90#15689018C2211yescharacteristic
91#15689017C2211yescharacteristic
92#15689017C2211yescharacteristic
93#15689017C2211yescharacteristic
94#15689017C2211yescharacteristic
95#15689016C2211yescharacteristic
96#15689016C2211yescharacteristic
97#15689016C2211yescharacteristic
98#15689016C2211yescharacteristic
99#15689015C2211yescharacteristic
100#15689015C2211yescharacteristic
101#15689015C2211yescharacteristic
102#15689015C2211yescharacteristic
103#15689015C2211yescharacteristic
104#15689014C2211yescharacteristic
105#15689014C2211yescharacteristic
106#15689014C2211yescharacteristic
107#15689013C2211yescharacteristic
108#15689013C2211yescharacteristic
109#15689013C2211yescharacteristic
110#15689013C2211yescharacteristic
111#15689013C2211yescharacteristic
112#15689012C2211yescharacteristic
113#15689012C2211yescharacteristic
114#15689012C2211yescharacteristic
115#15689012C2211yescharacteristic
116#15689012C2211yescharacteristic
117#15689012C2211yescharacteristic
118#15689012C2211yescharacteristic
119#15689011C2211yescharacteristic
120#15689011C2211yescharacteristic
121#15689011C2211yescharacteristic
122#15689011C2211yescharacteristic
123#15689011C2211yescharacteristic
124#15689011C2211yescharacteristic
125#15689011C2211yescharacteristic
126#15689011C2211yescharacteristic
127#15689010C2211yescharacteristic
128#15689010C2211yescharacteristic
129#15689010C2211yescharacteristic
130#15689008C2211yescharacteristic
131#15689007C2211yescharacteristic
132#15689007C2211yescharacteristic
133#15689006C2211yescharacteristic
134#15689005C2211yescharacteristic
135#15689005C2211yescharacteristic
136#15689004C2211yescharacteristic
137#15689001C2211yescharacteristic
138#15689000C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688998C2211yescharacteristic
141#15688997C2211yescharacteristic
142#15688994C2211yescharacteristic
143#15688987C2211yescharacteristic
144C4⋊C4×Dic47C2211yescharacteristic
145C4⋊C4×Dic47C2211yescharacteristic
146C4⋊C4×Dic47C2211yescharacteristic
147C4⋊C4×Dic47C2211yescharacteristic
148C4×Dic47⋊C4C2211yescharacteristic
149C4×Dic47⋊C4C2211yescharacteristic
150#15688974C2211yescharacteristic
151#15688974C2211yescharacteristic
152#15688974C2211yescharacteristic
153#15688974C2211yescharacteristic
154#15688974C2211yescharacteristic
155#15688974C2211yescharacteristic
156#15688974C2211yescharacteristic
157#15688974C2211yescharacteristic
158C22⋊C4×Dic47C2211yescharacteristic
159C22⋊C4×Dic47C2211yescharacteristic
160C22⋊C4×Dic47C2211yescharacteristic
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×C22⋊Dic47C2211yescharacteristic
165C4×C22⋊Dic47C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic
169C42×Dic47C2211yescharacteristic
170C42×Dic47C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C47×#400C2211yescharacteristic
173C47×#397C2211yescharacteristic
174C47×#397C2211yescharacteristic
175C47×#394C2211yescharacteristic
176C47×#390C2211yescharacteristic
177C47×#388C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#388C2211yescharacteristic
180C47×#388C2211yescharacteristic
181C47×#387C2211yescharacteristic
182C47×#387C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#385C2211yescharacteristic
185C4×C4⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C22×Dic94C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197C22×C4×D47C2311yescharacteristic
198#13094023—42no—
199#13094020—42no—
200#13094014—24no—
201#13094010—24no—
202#13094010—24no—
203#13094010—24no—
204#13094010—24no—
205#13094009—24no—
206#13094007—24no—
207#13094006—24no—
208#13094005—24no—
209C4×Dic94—24no—
210C4×Dic94—42no—
211#13093989—24no—
212#13093989—24no—
213#13093989—42no—
214C4×C22⋊D47—42no—
215(C22⋊D47)⋊C4—42no—
216C2×C4⋊Dic47C2311yescharacteristic
217C2×C4⋊Dic47C2311yescharacteristic
218C2×C4⋊Dic47C2311yescharacteristic
219C2×C4⋊Dic47C2311yescharacteristic
220C2×C4⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
250C2×(C2×D47)⋊C4C2311yescharacteristic
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×C4×Dic47C2311yescharacteristic
273C2×C4×Dic47C2311yescharacteristic
274C2×C4×Dic47C2311yescharacteristic
275C2×C4×Dic47C2311yescharacteristic
276C2×C4×Dic47C2311yescharacteristic
277C2×C4×Dic47C2311yescharacteristic
278C2×C4×Dic47C2311yescharacteristic
279C2×C4×Dic47C2311yescharacteristic
280C2×C4×Dic47C2311yescharacteristic
281C2×C4×Dic47C2311yescharacteristic
282C2×C4×Dic47C2311yescharacteristic
283C2×C4×Dic47C2311yescharacteristic
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
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
325C22×D4×C47C2311yescharacteristic
326C23×C4×C47C2311yescharacteristic
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×C22⋊C4×C47C2311yescharacteristic
334C2×C22⋊C4×C47C2311yescharacteristic
335C2×C22⋊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
347C2×C42×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
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360C24×C47C2411yescharacteristic
361C24×C47C2411yescharacteristic
362C23×D47C2411yescharacteristic
363C23×D47C2411yescharacteristic
364C2×D4×C47—22no—
365C2×D4×C47—41no—
366C2×D4×C47—41no—
367C22×C4×C47—22no—
368C22×C4×C47—41no—
369C22×C4×C47—41no—
370C22×C4×C47C2411yescharacteristic
371C22×C4×C47C2411yescharacteristic
372C22×C4×C47C2411yescharacteristic
373C22×C4×C47C2411yescharacteristic
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
383C2×C22⋊D47—22no—
384C2×C22⋊D47—22no—
385C2×C22⋊D47—22no—
386C2×C22⋊D47—22no—
387C2×C22⋊D47—22no—
388C2×C22⋊D47—22no—
389C2×C22⋊D47—22no—
390C2×C22⋊D47—22no—
391C2×C22⋊D47—41no—
392C2×C22⋊D47—41no—
393C2×C22⋊D47—41no—
394C2×C22⋊D47—41no—
395C22×Dic47—22no—
396C22×Dic47—41no—
397C22×Dic47—41no—
398C22×Dic47C2411yescharacteristic
399C22×Dic47C2411yescharacteristic
400C22×Dic47C2411yescharacteristic
401C22×Dic47C2411yescharacteristic
402C22×Dic47C2411yescharacteristic
403C22×Dic47C2411yescharacteristic
404C22×Dic47C2411yescharacteristic
405C22×Dic47C2411yescharacteristic
406C22×Dic47C2411yescharacteristic
407C22×Dic47C2411yescharacteristic
408C22×Dic47C2411yescharacteristic
409C22×Dic47C2411yescharacteristic
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C2×D188—22no—
413C2×D188—41no—
414C2×D188—41no—
415C2×C4×D47—22no—
416C2×C4×D47—22no—
417C2×C4×D47—41no—
418C2×C4×D47—41no—
419C2×C4×D47—41no—
420C2×C4×D47—41no—
421C2×Dic94—22no—
422C2×Dic94—22no—
423C2×Dic94—22no—
424C2×Dic94—22no—
425C2×Dic94—22no—
426C2×Dic94—22no—
427C2×Dic94—22no—
428C2×Dic94—22no—
429C2×Dic94—22no—
430C4⋊C4×C47—22no—
431C4⋊C4×C47—22no—
432C4⋊C4×C47—22no—
433C4⋊C4×C47—22no—
434C4⋊C4×C47—41no—
435C4⋊C4×C47—41no—
436C22⋊C4×C47—22no—
437C22⋊C4×C47—22no—
438C22⋊C4×C47—22no—
439C22⋊C4×C47—22no—
440C22⋊C4×C47—22no—
441C22⋊C4×C47—41no—
442C22⋊C4×C47—41no—
443C22⋊C4×C47—41no—
444C22⋊C4×C47—41no—
445C22⋊C4×C47—41no—
446C22⋊C4×C47—41no—
447C42×C47—22no—
448C42×C47—41no—
449C42×C47—41no—
450C42×C47—41no—
451C22⋊Dic47—22no—
452C22⋊Dic47—22no—
453C22⋊Dic47—22no—
454C22⋊Dic47—22no—
455C22⋊Dic47—22no—
456C22⋊Dic47—22no—
457C22⋊Dic47—22no—
458C22⋊Dic47—22no—
459C22⋊Dic47—22no—
460C22⋊Dic47—41no—
461C22⋊Dic47—41no—
462(C2×D47)⋊C4—22no—
463(C2×D47)⋊C4—22no—
464(C2×D47)⋊C4—22no—
465(C2×D47)⋊C4—22no—
466(C2×D47)⋊C4—22no—
467(C2×D47)⋊C4—22no—
468(C2×D47)⋊C4—22no—
469(C2×D47)⋊C4—22no—
470(C2×D47)⋊C4—22no—
471(C2×D47)⋊C4—22no—
472(C2×D47)⋊C4—22no—
473(C2×D47)⋊C4—22no—
474(C2×D47)⋊C4—22no—
475(C2×D47)⋊C4—22no—
476(C2×D47)⋊C4—41no—
477(C2×D47)⋊C4—41no—
478(C2×D47)⋊C4—41no—
479(C2×D47)⋊C4—41no—
480(C2×D47)⋊C4—41no—
481(C2×D47)⋊C4—41no—
482(C2×D47)⋊C4—41no—
483(C2×D47)⋊C4—41no—
484C4⋊Dic47—22no—
485C4⋊Dic47—22no—
486C4⋊Dic47—22no—
487C4⋊Dic47—41no—
488C4⋊Dic47—41no—
489Dic47⋊C4—22no—
490Dic47⋊C4—22no—
491Dic47⋊C4—22no—
492Dic47⋊C4—22no—
493Dic47⋊C4—22no—
494Dic47⋊C4—22no—
495Dic47⋊C4—22no—
496Dic47⋊C4—22no—
497Dic47⋊C4—22no—
498Dic47⋊C4—22no—
499Dic47⋊C4—22no—
500Dic47⋊C4—22no—
501Dic47⋊C4—41no—
502Dic47⋊C4—41no—
503Dic47⋊C4—41no—
504Dic47⋊C4—41no—
505Dic47⋊C4#4114yes—
506Dic47⋊C4#4114yes—
507C4×Dic47—22no—
508C4×Dic47—22no—
509C4×Dic47—22no—
510C4×Dic47—22no—
511C4×Dic47—22no—
512C4×Dic47—22no—
513C4×Dic47—22no—
514C4×Dic47—22no—
515C4×Dic47—22no—
516C4×Dic47—22no—
517C4×Dic47—41no—
518C4×Dic47—41no—
519C4×Dic47—41no—
520C4×Dic47—41no—
521C4×Dic47—41no—
522C4×Dic47—41no—
523C4×Dic47—41no—
524C4×Dic47—41no—
525C4×Dic47—41no—
526C4×Dic47—41no—
527C4×Dic47—41no—
528C4×Dic47#4114yes—
529C4×Dic47#4114yes—
530C23×C47—21no—
531C23×C47—21no—
532C23×C47—21no—
533C23×C47—21no—
534C23×C47—21no—
535C23×C47—21no—
536C23×C47—21no—
537C23×C47—21no—
538C23×C47—21no—
539C23×C47—21no—
540C23×C47—21no—
541C23×C47—21no—
542C23×C47—21no—
543C23×C47—21no—
544C23×C47C2511yescharacteristic
545C22×D47—21no—
546C22×D47—21no—
547C22×D47—21no—
548C22×D47—21no—
549C22×D47—21no—
550C22×D47—21no—
551C22×D47—21no—
552C22×D47—21no—
553C22×D47—21no—
554C22×D47—21no—
555C22×D47—21no—
556C22×D47—21no—
557C22×D47—21no—
558C22×D47—21no—
559D4×C47—82no—
560C2×C4×C47—21no—
561C2×C4×C47—21no—
562C2×C4×C47—21no—
563C2×C4×C47—21no—
564C2×C4×C47—21no—
565C2×C4×C47—21no—
566C2×C4×C47—21no—
567C2×C4×C47—21no—
568C2×C4×C47—21no—
569C2×C4×C47—21no—
570C2×C4×C47—21no—
571C2×C4×C47—21no—
572C2×C4×C47—21no—
573C2×C4×C47—21no—
574C2×C4×C47—21no—
575C2×C4×C47—21no—
576C2×C4×C47—21no—
577C2×C4×C47—21no—
578C2×C4×C47—21no—
579C2×C4×C47—21no—
580C2×C4×C47—21no—
581C2×C4×C47—21no—
582C2×C4×C47—21no—
583C2×C4×C47—21no—
584C2×C4×C47—21no—
585C2×C4×C47—21no—
586C2×C4×C47—21no—
587C2×C4×C47—21no—
588C2×C4×C47—21no—
589C2×C4×C47—21no—
590C2×C4×C47—21no—
591C2×C4×C47—21no—
592C2×C4×C47—21no—
593C2×C4×C47—21no—
594C2×C4×C47—21no—
595C2×C4×C47—82no—
596C2×C4×C47C2×#4112yes—
597C2×C4×C47C2×#4112yes—
598C2×C4×C47C2×#4112yes—
599C2×C4×C47C2×#4112yes—
600C22⋊D47—44no—
601C22⋊D47—44no—
602C22⋊D47—82no—
603C22⋊D47—82no—
604C2×Dic47—21no—
605C2×Dic47—21no—
606C2×Dic47—21no—
607C2×Dic47—21no—
608C2×Dic47—21no—
609C2×Dic47—21no—
610C2×Dic47—21no—
611C2×Dic47—21no—
612C2×Dic47—21no—
613C2×Dic47—21no—
614C2×Dic47—21no—
615C2×Dic47—21no—
616C2×Dic47—21no—
617C2×Dic47—21no—
618C2×Dic47—21no—
619C2×Dic47—21no—
620C2×Dic47—21no—
621C2×Dic47—21no—
622C2×Dic47—21no—
623C2×Dic47—21no—
624C2×Dic47—21no—
625C2×Dic47—21no—
626C2×Dic47—21no—
627C2×Dic47—21no—
628C2×Dic47—21no—
629C2×Dic47—21no—
630C2×Dic47—21no—
631C2×Dic47—21no—
632C2×Dic47—21no—
633C2×Dic47—21no—
634C2×Dic47—21no—
635C2×Dic47—21no—
636C2×Dic47—21no—
637C2×Dic47—82no—
638C2×Dic47C2×#4112yes—
639C2×Dic47C2×#4112yes—
640C2×Dic47C2×#4112yes—
641C2×Dic47C2×#4112yes—
642C2×Dic47C2×#4112yes—
643C2×Dic47C2×#4112yes—
644C2×Dic47C2×#4112yes—
645C2×Dic47C2×#4112yes—
646C2×Dic47H(5,𝔽2)12yes—
647D188—82no—
648C4×D47—82no—
649C4×D47—82no—
650Dic94—28no—
651Dic94—44no—
652Dic94—44no—
653#36602—471nomaximal, Sylow
654C22×C47—41no—
655C22×C47—41no—
656C22×C47—41no—
657C22×C47—41no—
658C22×C47—41no—
659C22×C47—41no—
660C22×C47—41no—
661C22×C47—41no—
662C22×C47—41no—
663C22×C47—41no—
664C22×C47—41no—
665C22×C47—41no—
666C22×C47—41no—
667C22×C47—41no—
668C22×C47C22×#4111yescharacteristic
669C22×C47C22×#4111yescharacteristic
670C22×C47C22×#4111yescharacteristic
671C22×C47C22×#4111yescharacteristic
672C22×C47C2×H(5,𝔽2)11yescharacteristic
673C22×C47#58511yescharacteristic
674C22×C47#58511yescharacteristic
675C2×D47—41no—
676C2×D47—41no—
677C2×D47—41no—
678C2×D47—41no—
679C2×D47—41no—
680C2×D47—41no—
681C2×D47—41no—
682C2×D47—41no—
683C2×D47—41no—
684C2×D47—41no—
685C2×D47—41no—
686C2×D47—41no—
687C2×D47—41no—
688C2×D47—41no—
689C4×C47—22no—
690C4×C47—22no—
691C4×C47—22no—
692C4×C47—22no—
693C4×C47—41no—
694C4×C47—41no—
695C4×C47—41no—
696C4×C47—41no—
697C4×C47—41no—
698C4×C47—41no—
699C4×C47—41no—
700C4×C47—41no—
701C4×C47—41no—
702Dic47—22no—
703Dic47—22no—
704Dic47—22no—
705Dic47—22no—
706Dic47—22no—
707Dic47—22no—
708Dic47—41no—
709Dic47—41no—
710Dic47—41no—
711Dic47—41no—
712Dic47—41no—
713Dic47—41no—
714Dic47—41no—
715Dic47#55914yes—
716#2861—471no—
717#2861—471no—
718#2858—471no—
719#2597—471no—
720#2597—471no—
721#2597—471no—
722#2597D4711yescharacteristic, complemented
723#2593—471no—
724#2593—471no—
725#2593—471no—
726#2593—471no—
727#2592—471no—
728#2592—471no—
729#2458—471no—
730#2458—471no—
731#2458—471no—
732#2458—471no—
733#2446—471no—
734#2446—471no—
735#2445—471no—
736#2445—471no—
737#2374—471no—
738#2374—471no—
739#2374—471no—
740#2374—471no—
741#2367—471no—
742#2367—471no—
743C4×#125—471no—
744C4×#124—471no—
745C4×#124—471no—
746C42×Q8—471no—
747C2×C47—81no—
748C2×C47—81no—
749C2×C47#344411yescharacteristic
750C2×C47C2×#55911yescharacteristic
751C2×C47#348011yescharacteristic
752C2×C47#348011yescharacteristic
753C2×C47#351211yescharacteristic
754C2×C47#351411yescharacteristic
755C2×C47#351411yescharacteristic
756D47—81no—
757D47—81no—
758C2×C4⋊Q8—471no—
759C2×#127—471no—
760C2×#125—471no—
761C2×#124—471no—
762C2×#124—471no—
763C2×#124—471no—
764C2×#124—471no—
765C2×#123—471no—
766C2×#123—471no—
767C2×#123—471no—
768C2×#123—471no—
769C2×C4×Q8—471no—
770C2×C4×Q8—471no—
771C2×C4×Q8—471no—
772C2×C4×Q8—471no—
773C2×C4×Q8—471no—
774C2×C4×D4—471no—
775C2×C4×D4—471no—
776#400—471no—
777#400—471no—
778#400—471no—
779#400C2×D4711yescharacteristic
780#398—471no—
781#398—471no—
782#398—471no—
783#398—471no—
784#397—471no—
785#397—471no—
786#397C2×D4711yescharacteristic
787#397C2×D4711yescharacteristic
788#394—471no—
789#394—471no—
790#394—471no—
791#394—471no—
792#394—471no—
793#394—471no—
794#394—471no—
795#394C2×D4711yescharacteristic
796#393—471no—
797#393—471no—
798#393—471no—
799#393—471no—
800#391—471no—
801#391—471no—
802#391—471no—
803#391—471no—
804#391—471no—
805#391—471no—
806#390—471no—
807#390—471no—
808#390—471no—
809#390—471no—
810#390—471no—
811#390—471no—
812#390—471no—
813#390—471no—
814#390—471no—
815#390—471no—
816#390—471no—
817#390—471no—
818#390—471no—
819#390C2×D4711yescharacteristic
820#389—471no—
821#389—471no—
822#388—471no—
823#388—471no—
824#388—471no—
825#388—471no—
826#388—471no—
827#388—471no—
828#388—471no—
829#388—471no—
830#388—471no—
831#388—471no—
832#388—471no—
833#388—471no—
834#388—471no—
835#388—471no—
836#388—471no—
837#388—471no—
838#388—471no—
839#388—471no—
840#388—471no—
841#388—471no—
842#388—471no—
843#388—471no—
844#388—471no—
845#388—471no—
846#388—471no—
847#388—471no—
848#388—471no—
849#388—471no—
850#388—471no—
851#388—471no—
852#388—471no—
853#388—471no—
854#388—471no—
855#388—471no—
856#388—471no—
857#388—471no—
858#388C2×D4711yescharacteristic
859#388C2×D4711yescharacteristic
860#388C2×D4711yescharacteristic
861#388C2×D4711yescharacteristic
862#387—471no—
863#387—471no—
864#387—471no—
865#387—471no—
866#387—471no—
867#387—471no—
868#387—471no—
869#387—471no—
870#387—471no—
871#387—471no—
872#387C2×D4711yescharacteristic
873#387C2×D4711yescharacteristic
874#386—471no—
875#386—471no—
876#386—471no—
877#386C2×D4711yescharacteristic
878#385—471no—
879#385—471no—
880#385—471no—
881#385C2×D4711yescharacteristic
882#382—471no—
883C4×C4⋊C4—471no—
884C4×C4⋊C4—471no—
885C4×C4⋊C4—471no—
886C4×C4⋊C4—471no—
887C4×C4⋊C4—471no—
888C4×C4⋊C4—471no—
889C4×C4⋊C4—471no—
890C4×C4⋊C4—471no—
891C4×C4⋊C4—471no—
892C4×C4⋊C4—471no—
893C4×C4⋊C4—471no—
894C4×C4⋊C4—471no—
895C4×C4⋊C4—471no—
896C4×C4⋊C4—471no—
897C4×C4⋊C4C2×D4711yescharacteristic
898C4×C22⋊C4—471no—
899C4×C22⋊C4—471no—
900C4×C22⋊C4—471no—
901C4×C22⋊C4—471no—
902C4×C22⋊C4—471no—
903C4×C22⋊C4—471no—
904C4×C22⋊C4—471no—
905C4×C22⋊C4—471no—
906C4×C22⋊C4—471no—
907C4×C22⋊C4—471no—
908C4×C22⋊C4—471no—
909C4×C22⋊C4C2×D4711yescharacteristic
910C43—471no—
911C43—471no—
912C43—471no—
913C47#3660211yescharacteristic, complemented, Sylow
914C22×Q8—471no—
915C22×Q8—471no—
916C22×Q8—471no—
917C22×D4—471no—
918C22×D4—471no—
919C22×D4—471no—
920C22×D4—471no—
921C22×D4—471no—
922C22×D4C22×D4711yescharacteristic
923C23×C4—471no—
924C23×C4—471no—
925C23×C4—471no—
926C23×C4C22×D4711yescharacteristic
927C4⋊Q8—1882no—
928#127—1882no—
929#125—944no—
930#124—944no—
931#124—944no—
932#124—944no—
933#124—944no—
934#123—944no—
935#123—944no—
936#123—944no—
937#123—944no—
938C4×Q8—944no—
939C4×Q8—944no—
940C4×Q8—944no—
941C4×Q8—1882no—
942C4×Q8—1882no—
943C4×D4—1882no—
944C4×D4—1882no—
945C2×C4⋊C4—471no—
946C2×C4⋊C4—471no—
947C2×C4⋊C4—471no—
948C2×C4⋊C4—471no—
949C2×C4⋊C4—471no—
950C2×C4⋊C4—471no—
951C2×C4⋊C4—471no—
952C2×C4⋊C4—471no—
953C2×C4⋊C4—471no—
954C2×C4⋊C4—471no—
955C2×C4⋊C4—471no—
956C2×C4⋊C4—471no—
957C2×C4⋊C4—471no—
958C2×C4⋊C4—471no—
959C2×C4⋊C4—471no—
960C2×C4⋊C4—471no—
961C2×C4⋊C4—471no—
962C2×C4⋊C4—471no—
963C2×C4⋊C4—471no—
964C2×C4⋊C4—471no—
965C2×C4⋊C4—471no—
966C2×C4⋊C4—471no—
967C2×C4⋊C4—471no—
968C2×C4⋊C4C22×D4711yescharacteristic
969C2×C4⋊C4C22×D4711yescharacteristic
970C2×C4⋊C4C22×D4711yescharacteristic
971C2×C4⋊C4C22×D4711yescharacteristic
972C2×C4⋊C4C22×D4711yescharacteristic
973C2×C4⋊C4C22×D4711yescharacteristic
974C2×C22⋊C4—471no—
975C2×C22⋊C4—471no—
976C2×C22⋊C4—471no—
977C2×C22⋊C4—471no—
978C2×C22⋊C4—471no—
979C2×C22⋊C4—471no—
980C2×C22⋊C4—471no—
981C2×C22⋊C4—471no—
982C2×C22⋊C4—471no—
983C2×C22⋊C4—471no—
984C2×C22⋊C4—471no—
985C2×C22⋊C4—471no—
986C2×C22⋊C4—471no—
987C2×C22⋊C4—471no—
988C2×C22⋊C4—471no—
989C2×C22⋊C4—471no—
990C2×C22⋊C4—471no—
991C2×C22⋊C4—471no—
992C2×C22⋊C4—471no—
993C2×C22⋊C4—471no—
994C2×C22⋊C4—471no—
995C2×C22⋊C4—471no—
996C2×C22⋊C4—471no—
997C2×C22⋊C4—471no—
998C2×C22⋊C4—471no—
999C2×C22⋊C4—471no—
1000C2×C22⋊C4—471no—
1001C2×C22⋊C4—471no—
1002C2×C22⋊C4—471no—
1003C2×C22⋊C4—471no—
1004C2×C22⋊C4—471no—
1005C2×C22⋊C4—471no—
1006C2×C22⋊C4—471no—
1007C2×C22⋊C4C22×D4711yescharacteristic
1008C2×C22⋊C4C22×D4711yescharacteristic
1009C2×C22⋊C4C22×D4711yescharacteristic
1010C2×C22⋊C4C22×D4711yescharacteristic
1011C2×C22⋊C4C22×D4711yescharacteristic
1012C2×C22⋊C4C22×D4711yescharacteristic
1013C2×C22⋊C4C22×D4711yescharacteristic
1014C2×C22⋊C4C22×D4711yescharacteristic
1015C2×C22⋊C4C22×D4711yescharacteristic
1016C2×C22⋊C4C22×D4711yescharacteristic
1017C2×C22⋊C4C22×D4711yescharacteristic
1018C2×C42—471no—
1019C2×C42—471no—
1020C2×C42—471no—
1021C2×C42—471no—
1022C2×C42—471no—
1023C2×C42—471no—
1024C2×C42—471no—
1025C2×C42—471no—
1026C2×C42—471no—
1027C2×C42—471no—
1028C2×C42—471no—
1029C2×C42—471no—
1030C2×C42—471no—
1031C2×C42—471no—
1032C2×C42—471no—
1033C2×C42—471no—
1034C2×C42—471no—
1035C2×C42—471no—
1036C2×C42—471no—
1037C2×C42—471no—
1038C2×C42—471no—
1039C2×C42—471no—
1040C2×C42—471no—
1041C2×C42C22×D4711yescharacteristic
1042C2×C42C22×D4711yescharacteristic
1043C2×C42C22×D4711yescharacteristic
1044C2×C42C22×D4711yescharacteristic
1045#95—471no—
1046#95—471no—
1047#95—471no—
1048#95—471no—
1049#95—471no—
1050#95—471no—
1051#95—471no—
1052#95—471no—
1053#95—471no—
1054#95—471no—
1055#95—471no—
1056#95—471no—
1057#95—471no—
1058#95—471no—
1059#95—471no—
1060#95—471no—
1061#95—471no—
1062#95—471no—
1063#95—471no—
1064#95—471no—
1065#95—471no—
1066#95—471no—
1067#95—471no—
1068#95—471no—
1069#95—471no—
1070#95—471no—
1071#95—471no—
1072#95—471no—
1073#95—471no—
1074#95—471no—
1075#95C22×D4711yescharacteristic
1076#95C22×D4711yescharacteristic
1077#95C22×D4711yescharacteristic
1078#95C22×D4711yescharacteristic
1079#95C22×D4711yescharacteristic
1080#95C22×D4711yescharacteristic
1081#95C22×D4711yescharacteristic
1082#95C22×D4711yescharacteristic
1083#95C22×D4711yescharacteristic
1084#95C22×D4711yescharacteristic
1085#95C22×D4711yescharacteristic
1086#95C22×D4711yescharacteristic
1087C24—471no—
1088C24—471no—
1089C24C23×D4711yescharacteristic
1090C24C23×D4711yescharacteristic
1091C2×Q8—942no—
1092C2×Q8—942no—
1093C2×Q8—942no—
1094C2×Q8—942no—
1095C2×Q8—942no—
1096C2×Q8—942no—
1097C2×Q8—942no—
1098C2×Q8—942no—
1099C2×Q8—942no—
1100C2×D4—22no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—942no—
1104C2×D4—942no—
1105C2×D4—942no—
1106C2×D4—942no—
1107C2×D4—942no—
1108C2×D4—942no—
1109C2×D4—942no—
1110C2×D4—942no—
1111C2×D4—942no—
1112C2×D4—1881no—
1113C2×D4—1881no—
1114C2×D4—1881no—
1115C2×D4—1881no—
1116C2×D4—1881no—
1117C2×D4—1881no—
1118C22×C4—22no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—471no—
1122C22×C4—471no—
1123C22×C4—471no—
1124C22×C4—471no—
1125C22×C4—471no—
1126C22×C4—471no—
1127C22×C4—471no—
1128C22×C4—471no—
1129C22×C4—471no—
1130C22×C4—471no—
1131C22×C4—471no—
1132C22×C4—471no—
1133C22×C4—471no—
1134C22×C4—471no—
1135C22×C4—942no—
1136C22×C4—942no—
1137C22×C4—942no—
1138C22×C4—1881no—
1139C22×C4—1881no—
1140C22×C4—1881no—
1141C22×C4—1881no—
1142C22×C4—1881no—
1143C22×C4—1881no—
1144C22×C4C23×D4711yescharacteristic
1145C22×C4C23×D4711yescharacteristic
1146C22×C4C23×D4711yescharacteristic
1147C22×C4C23×D4711yescharacteristic
1148C22×C4C23×D4711yescharacteristic
1149C22×C4C23×D4711yescharacteristic
1150C22×C4C23×D4711yescharacteristic
1151C22×C4C23×D4711yescharacteristic
1152C22×C4C23×D4711yescharacteristic
1153C22×C4C23×D4711yescharacteristic
1154C22×C4C23×D4711yescharacteristic
1155C22×C4C23×D4711yescharacteristic
1156C22×C4C23×D4711yescharacteristic
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—474no—
1164C4⋊C4—474no—
1165C4⋊C4—942no—
1166C4⋊C4—942no—
1167C4⋊C4—942no—
1168C4⋊C4—942no—
1169C4⋊C4—942no—
1170C4⋊C4—942no—
1171C4⋊C4—942no—
1172C4⋊C4—942no—
1173C4⋊C4—942no—
1174C4⋊C4—942no—
1175C4⋊C4—942no—
1176C4⋊C4—942no—
1177C4⋊C4—942no—
1178C4⋊C4—942no—
1179C4⋊C4—942no—
1180C4⋊C4—1881no—
1181C4⋊C4—1881no—
1182C4⋊C4—1881no—
1183C4⋊C4—1881no—
1184C4⋊C4—1881no—
1185C4⋊C4—1881no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—942no—
1198C22⋊C4—942no—
1199C22⋊C4—942no—
1200C22⋊C4—942no—
1201C22⋊C4—942no—
1202C22⋊C4—942no—
1203C22⋊C4—942no—
1204C22⋊C4—942no—
1205C22⋊C4—942no—
1206C22⋊C4—942no—
1207C22⋊C4—942no—
1208C22⋊C4—942no—
1209C22⋊C4—942no—
1210C22⋊C4—942no—
1211C22⋊C4—942no—
1212C22⋊C4—942no—
1213C22⋊C4—942no—
1214C22⋊C4—942no—
1215C22⋊C4—942no—
1216C22⋊C4—942no—
1217C22⋊C4—942no—
1218C22⋊C4—942no—
1219C22⋊C4—942no—
1220C22⋊C4—1881no—
1221C22⋊C4—1881no—
1222C22⋊C4—1881no—
1223C22⋊C4—1881no—
1224C22⋊C4—1881no—
1225C22⋊C4—1881no—
1226C22⋊C4—1881no—
1227C22⋊C4—1881no—
1228C22⋊C4—1881no—
1229C22⋊C4—1881no—
1230C42—22no—
1231C42—41no—
1232C42—41no—
1233C42—41no—
1234C42—474no—
1235C42—474no—
1236C42—942no—
1237C42—942no—
1238C42—942no—
1239C42—942no—
1240C42—942no—
1241C42—942no—
1242C42—942no—
1243C42—942no—
1244C42—942no—
1245C42—942no—
1246C42—1881no—
1247C42—1881no—
1248C42—1881no—
1249C42—1881no—
1250C42—1881no—
1251C42—1881no—
1252C42—1881no—
1253C42—1881no—
1254C42—1881no—
1255C42—1881no—
1256C42—1881no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—941no—
1272C23—941no—
1273C23—941no—
1274C23—941no—
1275C23—941no—
1276C23—941no—
1277C23—941no—
1278C23—941no—
1279C23—941no—
1280C23—941no—
1281C23—941no—
1282C23—941no—
1283C23—941no—
1284C23—941no—
1285C23C24×D4711yescharacteristic
1286Q8—948no—
1287Q8—1884no—
1288Q8—1884no—
1289D4—82no—
1290D4—3762no—
1291D4—3762no—
1292D4—3762no—
1293D4—1884no—
1294D4—1884no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—82no—
1331C2×C4—472no—
1332C2×C4—472no—
1333C2×C4—472no—
1334C2×C4—472no—
1335C2×C4—472no—
1336C2×C4—472no—
1337C2×C4—472no—
1338C2×C4—472no—
1339C2×C4—472no—
1340C2×C4—941no—
1341C2×C4—941no—
1342C2×C4—941no—
1343C2×C4—941no—
1344C2×C4—941no—
1345C2×C4—941no—
1346C2×C4—941no—
1347C2×C4—941no—
1348C2×C4—941no—
1349C2×C4—941no—
1350C2×C4—941no—
1351C2×C4—941no—
1352C2×C4—941no—
1353C2×C4—941no—
1354C2×C4—941no—
1355C2×C4—941no—
1356C2×C4—941no—
1357C2×C4—941no—
1358C2×C4—941no—
1359C2×C4—941no—
1360C2×C4—941no—
1361C2×C4—941no—
1362C2×C4—941no—
1363C2×C4—941no—
1364C2×C4—941no—
1365C2×C4—941no—
1366C2×C4—941no—
1367C2×C4—941no—
1368C2×C4—941no—
1369C2×C4—941no—
1370C2×C4—941no—
1371C2×C4—941no—
1372C2×C4—941no—
1373C2×C4—3762no—
1374C2×C4—3762no—
1375C2×C4—3762no—
1376C2×C4#41×D4712yes—
1377C2×C4#41×D4712yes—
1378C2×C4#41×D4712yes—
1379C2×C4#41×D4712yes—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—1881no—
1395C22—1881no—
1396C22—1881no—
1397C22—1881no—
1398C22—1881no—
1399C22—1881no—
1400C22—1881no—
1401C22—1881no—
1402C22—1881no—
1403C22—1881no—
1404C22—1881no—
1405C22—1881no—
1406C22—1881no—
1407C22—1881no—
1408C22C2×#41×D4711yescharacteristic
1409C22C2×#41×D4711yescharacteristic
1410C22C2×#41×D4711yescharacteristic
1411C22C2×#41×D4711yescharacteristic
1412C22H(5,𝔽2)×D4711yescharacteristic
1413C22#1568995811yescharacteristic
1414C22#1568995911yescharacteristic
1415C4—22no—
1416C4—22no—
1417C4—22no—
1418C4—22no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—474no—
1429C4—942no—
1430C4—942no—
1431C4—942no—
1432C4—942no—
1433C4—942no—
1434C4—942no—
1435C4—1881no—
1436C4—1881no—
1437C4—1881no—
1438C4—1881no—
1439C4—1881no—
1440C4—1881no—
1441C4—1881no—
1442C2—81no—
1443C2—81no—
1444C2—3761no—
1445C2—3761no—
1446C2#2025668211yescharacteristic
1447C2#559×D4711yescharacteristic
1448C2#2025697911yescharacteristic
1449C2#2025698211yescharacteristic
1450C2#2025730611yescharacteristic
1451C2#2025733811yescharacteristic
1452C2#2025734111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2597C2
prime radicalC2×#13094020C22
hypercenter#2597D47
hypocenterC47#36602
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2597

Complements

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

NH ≅ G/Ntype
1. #20251757C2semidirect
2. #20251757C2semidirect
4. #20248940C2semidirect
5. #20248939C2semidirect
6. #20248932C2semidirect
7. #20248885C2semidirect
8. #20248883C2semidirect
9. #20248882C2semidirect
10. #20248880C2semidirect
11. #20248872C2semidirect
12. #20248872C2semidirect
13. #20247317C2semidirect
14. #20247316C2semidirect
15. #20247315C2semidirect
16. #20247314C2semidirect
17. #20247161C2semidirect
18. #20247159C2semidirect
21. #20246521C2semidirect
22. #20246520C2semidirect
23. #20246519C2semidirect
24. #20246516C2semidirect
25. #20246462C2semidirect
26. #20246456C2semidirect
27. #20245945C2semidirect
28. #20245929C2semidirect
29. C4×#13094010C2semidirect
30. C4×#13093989C2semidirect
31. C47×#2597C2semidirect
722. #2597D47semidirect
913. C47#36602semidirect

Maximal subgroups

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

subgroupindex
#202517572
#202517422
#202489402
#202489392
#202489322
#202488852
#202488832
#202488822
#202488802
#202488722
#202473172
#202473162
#202473152
#202473142
#202471612
#202471592
#202471502
#202471482
#202465212
#202465202
#202465192
#202465162
#202464622
#202464562
#202459452
#202459292
C4×#130940102
C4×#130939892
C47×#25972
#3660247