Finite Group Databasebeta

← #26422028

Subgroups — #26422028

Order 12032.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251739C211yesmaximal, characteristic, complemented
2#20251686C211yesmaximal, characteristic
3#20251686C211yesmaximal, characteristic
4#20248898C211yesmaximal, characteristic, complemented
5#20248890C211yesmaximal, characteristic, complemented
6#20248739C211yesmaximal, characteristic, complemented
7#20248733C211yesmaximal, characteristic, complemented
8#20248641C211yesmaximal, characteristic, complemented
9#20248615C211yesmaximal, characteristic, complemented
10#20248363C211yesmaximal, characteristic, complemented
11#20248152C211yesmaximal, characteristic, complemented
12#20248150C211yesmaximal, characteristic, complemented
13#20247995C211yesmaximal, characteristic, complemented
14#20247969C211yesmaximal, characteristic, complemented
15#20247949C211yesmaximal, characteristic, complemented
16#20247941C211yesmaximal, characteristic, complemented
17#20247652C211yesmaximal, characteristic, complemented
18#20247650C211yesmaximal, characteristic, complemented
19#20247174C211yesmaximal, characteristic, complemented
20#20247159C211yesmaximal, characteristic, complemented
21#20246511C211yesmaximal, characteristic, complemented
22#20246509C211yesmaximal, characteristic, complemented
23#20246456C211yesmaximal, characteristic, complemented
24#20246350C211yesmaximal, characteristic, complemented
25#20246325C211yesmaximal, characteristic, complemented
26#20246321C211yesmaximal, characteristic, complemented
27#20245922C211yesmaximal, characteristic, complemented
28#20245922C211yesmaximal, characteristic, complemented
29C4×#13093997C211yesmaximal, characteristic
30C4×C4⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2573C211yesmaximal, characteristic, complemented
32C2×#13094023C2211yescharacteristic
33C2×#13094019C2211yescharacteristic
34C2×#13094017C2211yescharacteristic
35C2×#13094010C2211yescharacteristic
36C2×#13094010C2211yescharacteristic
37C2×#13094002C2211yescharacteristic
38C2×#13094002C2211yescharacteristic
39C2×#13093997C2211yescharacteristic
40C2×#13093989C2211yescharacteristic
41C2×#13093989C2211yescharacteristic
42C2×C4×D188C2211yescharacteristic
43C2×C4×C22⋊D47C2211yescharacteristic
44C2×C4×C22⋊D47C2211yescharacteristic
45C2×C4⋊C4×D47C2211yescharacteristic
46C2×C4⋊C4×D47C2211yescharacteristic
47C2×C42×D47C2211yescharacteristic
48C2×C42×D47C2211yescharacteristic
49C2×C42×D47C2211yescharacteristic
50C47⋊#401C2211yescharacteristic
51C47⋊#401C2211yescharacteristic
52#15689065C2211yescharacteristic
53#15689065C2211yescharacteristic
54#15689064C2211yescharacteristic
55#15689062C2211yescharacteristic
56#15689057C2211yescharacteristic
57#15689057C2211yescharacteristic
58#15689055C2211yescharacteristic
59#15689054C2211yescharacteristic
60#15689052C2211yescharacteristic
61#15689052C2211yescharacteristic
62#15689051C2211yescharacteristic
63#15689050C2211yescharacteristic
64#15689048C2211yescharacteristic
65#15689047C2211yescharacteristic
66#15689046C2211yescharacteristic
67#15689046C2211yescharacteristic
68#15689045C2211yescharacteristic
69#15689045C2211yescharacteristic
70#15689027C2211yescharacteristic
71#15689027C2211yescharacteristic
72#15689027C2211yescharacteristic
73#15689027C2211yescharacteristic
74#15689027C2211yescharacteristic
75#15689027C2211yescharacteristic
76#15689023C2211yescharacteristic
77#15689023C2211yescharacteristic
78#15689023C2211yescharacteristic
79#15689021C2211yescharacteristic
80#15689020C2211yescharacteristic
81#15689020C2211yescharacteristic
82#15689020C2211yescharacteristic
83#15689018C2211yescharacteristic
84#15689018C2211yescharacteristic
85#15689017C2211yescharacteristic
86#15689017C2211yescharacteristic
87#15689017C2211yescharacteristic
88#15689017C2211yescharacteristic
89#15689016C2211yescharacteristic
90#15689016C2211yescharacteristic
91#15689016C2211yescharacteristic
92#15689015C2211yescharacteristic
93#15689014C2211yescharacteristic
94#15689014C2211yescharacteristic
95#15689013C2211yescharacteristic
96#15689013C2211yescharacteristic
97#15689013C2211yescharacteristic
98#15689013C2211yescharacteristic
99#15689012C2211yescharacteristic
100#15689012C2211yescharacteristic
101#15689012C2211yescharacteristic
102#15689011C2211yescharacteristic
103#15689010C2211yescharacteristic
104#15689010C2211yescharacteristic
105#15689009C2211yescharacteristic
106#15689009C2211yescharacteristic
107#15689008C2211yescharacteristic
108#15689008C2211yescharacteristic
109#15689008C2211yescharacteristic
110#15689008C2211yescharacteristic
111#15689007C2211yescharacteristic
112#15689007C2211yescharacteristic
113#15689007C2211yescharacteristic
114#15689005C2211yescharacteristic
115#15689005C2211yescharacteristic
116#15689004C2211yescharacteristic
117#15689004C2211yescharacteristic
118#15689001C2211yescharacteristic
119#15689001C2211yescharacteristic
120#15689001C2211yescharacteristic
121#15689001C2211yescharacteristic
122#15689001C2211yescharacteristic
123#15688999C2211yescharacteristic
124#15688999C2211yescharacteristic
125#15688999C2211yescharacteristic
126#15688999C2211yescharacteristic
127#15688999C2211yescharacteristic
128#15688997C2211yescharacteristic
129#15688997C2211yescharacteristic
130#15688997C2211yescharacteristic
131#15688996C2211yescharacteristic
132#15688994C2211yescharacteristic
133#15688994C2211yescharacteristic
134#15688994C2211yescharacteristic
135#15688992C2211yescharacteristic
136#15688990C2211yescharacteristic
137#15688990C2211yescharacteristic
138#15688990C2211yescharacteristic
139#15688987C2211yescharacteristic
140#15688987C2211yescharacteristic
141#15688985C2211yescharacteristic
142#15688982C2211yescharacteristic
143#15688982C2211yescharacteristic
144#15688982C2211yescharacteristic
145#15688980C2211yescharacteristic
146#15688980C2211yescharacteristic
147C4⋊C4×Dic47C2211yescharacteristic
148C4⋊C4×Dic47C2211yescharacteristic
149C4⋊C4×Dic47C2211yescharacteristic
150C4⋊C4×Dic47C2211yescharacteristic
151C4×Dic47⋊C4C2211yescharacteristic
152C4×Dic47⋊C4C2211yescharacteristic
153C4×Dic47⋊C4C2211yescharacteristic
154C4×C4⋊Dic47C2211yescharacteristic
155#15688974C2211yescharacteristic
156#15688974C2211yescharacteristic
157#15688974C2211yescharacteristic
158#15688974C2211yescharacteristic
159#15688974C2211yescharacteristic
160#15688974C2211yescharacteristic
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×C22⋊Dic47C2211yescharacteristic
163#15688970C2211yescharacteristic
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688969C2211yescharacteristic
169#15688968C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C47×#400C2211yescharacteristic
173C47×#400C2211yescharacteristic
174C47×#397C2211yescharacteristic
175C47×#396C2211yescharacteristic
176C47×#389C2211yescharacteristic
177C47×#388C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#387C2211yescharacteristic
180C47×#387C2211yescharacteristic
181C47×#387C2211yescharacteristic
182C47×#385C2211yescharacteristic
183C47×#383C2211yescharacteristic
184C47×#381C2211yescharacteristic
185C4×C4⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C22×Dic94C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C4×D47C2311yescharacteristic
193C22×C4×D47C2311yescharacteristic
194C22×C4×D47C2311yescharacteristic
195C22×C4×D47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197C22×C4×D47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200#13094023—42no—
201#13094019—24no—
202#13094017—24no—
203#13094010—24no—
204#13094010—42no—
205#13094002—24no—
206#13094002—24no—
207#13093997—24no—
208#13093989—24no—
209#13093989—42no—
210C4×D188—24no—
211C4×C22⋊D47—24no—
212C4×C22⋊D47—42no—
213C2×C4⋊Dic47C2311yescharacteristic
214C2×C4⋊Dic47C2311yescharacteristic
215C2×C4⋊Dic47C2311yescharacteristic
216C2×C4⋊Dic47C2311yescharacteristic
217C2×C4⋊Dic47C2311yescharacteristic
218C2×C4⋊Dic47C2311yescharacteristic
219C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
240C4⋊C4×D47—24no—
241C4⋊C4×D47—24no—
242C2×C22⋊Dic47C2311yescharacteristic
243C2×C22⋊Dic47C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×(C2×D47)⋊C4C2311yescharacteristic
249C2×(C2×D47)⋊C4C2311yescharacteristic
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×C4×Dic47C2311yescharacteristic
267C2×C4×Dic47C2311yescharacteristic
268C2×C4×Dic47C2311yescharacteristic
269C2×C4×Dic47C2311yescharacteristic
270C2×C4×Dic47C2311yescharacteristic
271C2×C4×Dic47C2311yescharacteristic
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
284C42×D47—24no—
285C42×D47—42no—
286C42×D47—42no—
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
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C23×C4×C47C2311yescharacteristic
326C2×C4⋊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×C4⋊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×C42×C47C2311yescharacteristic
341C2×C42×C47C2311yescharacteristic
342C2×C42×C47C2311yescharacteristic
343C2×C42×C47C2311yescharacteristic
344#95×C47C2311yescharacteristic
345#95×C47C2311yescharacteristic
346#95×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
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360C24×C47C2411yescharacteristic
361C23×D47C2411yescharacteristic
362C23×D47C2411yescharacteristic
363C22×C4×C47—22no—
364C22×C4×C47—41no—
365C22×C4×C47—41no—
366C22×C4×C47C2411yescharacteristic
367C22×C4×C47C2411yescharacteristic
368C22×C4×C47C2411yescharacteristic
369C22×C4×C47C2411yescharacteristic
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
380C2×C22⋊D47—22no—
381C2×C22⋊D47—22no—
382C2×C22⋊D47—22no—
383C2×C22⋊D47—22no—
384C2×C22⋊D47—22no—
385C2×C22⋊D47—22no—
386C22×Dic47C2411yescharacteristic
387C22×Dic47C2411yescharacteristic
388C22×Dic47C2411yescharacteristic
389C22×Dic47C2411yescharacteristic
390C22×Dic47C2411yescharacteristic
391C22×Dic47C2411yescharacteristic
392C22×Dic47C2411yescharacteristic
393C22×Dic47C2411yescharacteristic
394C22×Dic47C2411yescharacteristic
395C22×Dic47C2411yescharacteristic
396C22×Dic47C2411yescharacteristic
397C22×Dic47C2411yescharacteristic
398C22×Dic47C2411yescharacteristic
399C22×Dic47C2411yescharacteristic
400C2×D188—22no—
401C2×D188—22no—
402C2×D188—22no—
403C2×C4×D47—22no—
404C2×C4×D47—22no—
405C2×C4×D47—22no—
406C2×C4×D47—22no—
407C2×C4×D47—22no—
408C2×C4×D47—22no—
409C2×C4×D47—22no—
410C2×C4×D47—22no—
411C2×C4×D47—22no—
412C2×C4×D47—22no—
413C2×C4×D47—22no—
414C2×C4×D47—22no—
415C2×C4×D47—22no—
416C2×C4×D47—41no—
417C2×C4×D47—41no—
418C2×C4×D47—41no—
419C2×C4×D47—41no—
420C2×C4×D47—41no—
421C2×C4×D47—41no—
422C2×C4×D47—41no—
423C2×C4×D47—41no—
424C2×C4×D47—41no—
425C2×C4×D47#4114yes—
426C2×C4×D47#4114yes—
427C2×Dic94—22no—
428C2×Dic94—22no—
429C2×Dic94—22no—
430C2×Dic94—22no—
431C2×Dic94—22no—
432C2×Dic94—22no—
433C4⋊C4×C47—22no—
434C4⋊C4×C47—22no—
435C4⋊C4×C47—22no—
436C4⋊C4×C47—22no—
437C4⋊C4×C47—22no—
438C4⋊C4×C47—22no—
439C4⋊C4×C47—41no—
440C4⋊C4×C47—41no—
441C22⋊C4×C47—22no—
442C22⋊C4×C47—22no—
443C22⋊C4×C47—22no—
444C22⋊C4×C47—41no—
445C22⋊C4×C47—41no—
446C22⋊C4×C47—41no—
447C42×C47—22no—
448C42×C47—22no—
449C42×C47—41no—
450C42×C47—41no—
451C22⋊Dic47—22no—
452C22⋊Dic47—22no—
453C22⋊Dic47—22no—
454C22⋊Dic47—22no—
455C22⋊Dic47—41no—
456C22⋊Dic47—41no—
457(C2×D47)⋊C4—22no—
458(C2×D47)⋊C4—22no—
459(C2×D47)⋊C4—22no—
460(C2×D47)⋊C4—22no—
461(C2×D47)⋊C4—22no—
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—41no—
471(C2×D47)⋊C4—41no—
472(C2×D47)⋊C4—41no—
473(C2×D47)⋊C4—41no—
474(C2×D47)⋊C4—41no—
475C4⋊Dic47—22no—
476C4⋊Dic47—22no—
477C4⋊Dic47—22no—
478C4⋊Dic47—22no—
479C4⋊Dic47—22no—
480C4⋊Dic47—41no—
481C4⋊Dic47—41no—
482Dic47⋊C4—22no—
483Dic47⋊C4—22no—
484Dic47⋊C4—22no—
485Dic47⋊C4—22no—
486Dic47⋊C4—22no—
487Dic47⋊C4—22no—
488Dic47⋊C4—22no—
489Dic47⋊C4—22no—
490Dic47⋊C4—22no—
491Dic47⋊C4—22no—
492Dic47⋊C4—22no—
493Dic47⋊C4—22no—
494Dic47⋊C4—22no—
495Dic47⋊C4—41no—
496Dic47⋊C4—41no—
497Dic47⋊C4—41no—
498Dic47⋊C4—41no—
499Dic47⋊C4—41no—
500Dic47⋊C4—41no—
501Dic47⋊C4#4114yes—
502C4×Dic47—22no—
503C4×Dic47—22no—
504C4×Dic47—22no—
505C4×Dic47—22no—
506C4×Dic47—22no—
507C4×Dic47—22no—
508C4×Dic47—22no—
509C4×Dic47—22no—
510C4×Dic47—22no—
511C4×Dic47—22no—
512C4×Dic47—22no—
513C4×Dic47—41no—
514C4×Dic47—41no—
515C4×Dic47—41no—
516C4×Dic47—41no—
517C4×Dic47—41no—
518C4×Dic47—41no—
519C4×Dic47#4114yes—
520C23×C47—21no—
521C23×C47—21no—
522C23×C47—21no—
523C23×C47—21no—
524C23×C47—21no—
525C23×C47—21no—
526C23×C47—21no—
527C23×C47C2511yescharacteristic
528C22×D47—21no—
529C22×D47—21no—
530C22×D47—21no—
531C22×D47—21no—
532C22×D47—21no—
533C22×D47—21no—
534C22×D47—21no—
535C22×D47—21no—
536C22×D47—21no—
537C22×D47—21no—
538C22×D47—21no—
539C22×D47C2×#4112yes—
540C22×D47C2×#4112yes—
541C22×D472−1+412yes—
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—21no—
556C2×C4×C47—21no—
557C2×C4×C47—21no—
558C2×C4×C47—21no—
559C2×C4×C47—21no—
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—82no—
581C2×C4×C47C2×#4112yes—
582C2×C4×C47C2×#4112yes—
583C2×C4×C47C2×#4112yes—
584C2×C4×C47C2×#4112yes—
585C22⋊D47—44no—
586C22⋊D47—44no—
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—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×Dic47C2×#4112yes—
623C2×Dic47C2×#4112yes—
624C2×Dic47C2×#4112yes—
625C2×Dic47C2×#4112yes—
626C2×Dic47C2×#4112yes—
627C2×Dic47C2×#4112yes—
628C2×Dic47H(5,𝔽2)12yes—
629D188—44no—
630C4×D47—28no—
631C4×D47—28no—
632C4×D47—44no—
633C4×D47—44no—
634C4×D47—44no—
635C4×D47—44no—
636C4×D47—44no—
637C4×D47—82no—
638Dic94—44no—
639Dic94—44no—
640#36605—471nomaximal, Sylow
641C22×C47—41no—
642C22×C47—41no—
643C22×C47—41no—
644C22×C47—41no—
645C22×C47—41no—
646C22×C47—41no—
647C22×C47—41no—
648C22×C47C22×#4111yescharacteristic
649C22×C47C22×#4111yescharacteristic
650C22×C47C22×#4111yescharacteristic
651C22×C47C22×#4111yescharacteristic
652C22×C47C2×H(5,𝔽2)11yescharacteristic
653C22×C47C2×2−1+411yescharacteristic
654C22×C47#58511yescharacteristic
655C2×D47—22no—
656C2×D47—22no—
657C2×D47—22no—
658C2×D47—22no—
659C2×D47—22no—
660C2×D47—22no—
661C2×D47—41no—
662C2×D47—41no—
663C2×D47—41no—
664C2×D47—41no—
665C2×D47—41no—
666C2×D47—41no—
667C2×D47—41no—
668C2×D47#55614yes—
669C4×C47—22no—
670C4×C47—22no—
671C4×C47—22no—
672C4×C47—22no—
673C4×C47—41no—
674C4×C47—41no—
675C4×C47—41no—
676C4×C47—41no—
677C4×C47—41no—
678C4×C47—41no—
679C4×C47—41no—
680C4×C47—41no—
681C4×C47—41no—
682C4×C47—41no—
683Dic47—22no—
684Dic47—22no—
685Dic47—22no—
686Dic47—22no—
687Dic47—41no—
688Dic47—41no—
689Dic47—41no—
690Dic47—41no—
691Dic47—41no—
692Dic47—41no—
693Dic47—41no—
694Dic47—41no—
695Dic47—41no—
696Dic47#55314yes—
697#2857—471no—
698#2850—471no—
699#2850—471no—
700#2594—471no—
701#2594—471no—
702#2579—471no—
703#2579—471no—
704#2573—471no—
705#2573D4711yescharacteristic, complemented
706#2570—471no—
707#2545—471no—
708#2525—471no—
709#2525—471no—
710#2514—471no—
711#2512—471no—
712#2510—471no—
713#2510—471no—
714#2481—471no—
715#2481—471no—
716#2447—471no—
717#2446—471no—
718#2373—471no—
719#2373—471no—
720#2367—471no—
721#2356—471no—
722#2353—471no—
723#2353—471no—
724C4×C22⋊Q8—471no—
725C4×C22⋊Q8—471no—
726C4×#121—471no—
727C2×C4×C4⋊C4—471no—
728C2×C47—81no—
729C2×C47#344411yescharacteristic
730C2×C47C2×#55311yescharacteristic
731C2×C47C2×#55611yescharacteristic
732C2×C47#348011yescharacteristic
733C2×C47#349511yescharacteristic
734C2×C47#350511yescharacteristic
735C2×C47#352011yescharacteristic
736D47—24no—
737D47—81no—
738C2×C4⋊Q8—471no—
739C2×#126—471no—
740C2×#126—471no—
741C2×#124—471no—
742C2×#124—471no—
743C2×C22⋊Q8—471no—
744C2×C22⋊Q8—471no—
745C2×#121—471no—
746C2×C4×Q8—471no—
747C2×C4×Q8—471no—
748C2×C4×D4—471no—
749C2×C4×D4—471no—
750C2×C4×D4—471no—
751C22×C4⋊C4—471no—
752C22×C4⋊C4—471no—
753C22×C42—471no—
754C22×C42—471no—
755C22×C42—471no—
756#401—471no—
757#401—471no—
758#400—471no—
759#400—471no—
760#400—471no—
761#400—471no—
762#400C2×D4711yescharacteristic
763#400C2×D4711yescharacteristic
764#398—471no—
765#398—471no—
766#398—471no—
767#398—471no—
768#397—471no—
769#397—471no—
770#397—471no—
771#397—471no—
772#397—471no—
773#397C2×D4711yescharacteristic
774#396—471no—
775#396—471no—
776#396—471no—
777#396—471no—
778#396—471no—
779#396C2×D4711yescharacteristic
780#391—471no—
781#391—471no—
782#391—471no—
783#391—471no—
784#391—471no—
785#391—471no—
786#390—471no—
787#390—471no—
788#390—471no—
789#389—471no—
790#389—471no—
791#389—471no—
792#389—471no—
793#389—471no—
794#389—471no—
795#389C2×D4711yescharacteristic
796#388—471no—
797#388—471no—
798#388—471no—
799#388—471no—
800#388—471no—
801#388—471no—
802#388—471no—
803#388—471no—
804#388—471no—
805#388—471no—
806#388—471no—
807#388—471no—
808#388—471no—
809#388—471no—
810#388—471no—
811#388—471no—
812#388—471no—
813#388—471no—
814#388C2×D4711yescharacteristic
815#388C2×D4711yescharacteristic
816#387—471no—
817#387—471no—
818#387—471no—
819#387—471no—
820#387—471no—
821#387—471no—
822#387—471no—
823#387—471no—
824#387—471no—
825#387—471no—
826#387—471no—
827#387—471no—
828#387—471no—
829#387—471no—
830#387—471no—
831#387C2×D4711yescharacteristic
832#387C2×D4711yescharacteristic
833#387C2×D4711yescharacteristic
834#386—471no—
835#386—471no—
836#386—471no—
837#386—471no—
838#386—471no—
839#386—471no—
840#386—471no—
841#386—471no—
842#386—471no—
843#386—471no—
844#385—471no—
845#385—471no—
846#385—471no—
847#385—471no—
848#385—471no—
849#385—471no—
850#385—471no—
851#385C2×D4711yescharacteristic
852#384—471no—
853#383—471no—
854#383—471no—
855#383—471no—
856#383C2×D4711yescharacteristic
857#382—471no—
858#382—471no—
859#381—471no—
860#381C2×D4711yescharacteristic
861#380—471no—
862#380—471no—
863#380—471no—
864#380—471no—
865#380—471no—
866C4×C4⋊C4—471no—
867C4×C4⋊C4—471no—
868C4×C4⋊C4—471no—
869C4×C4⋊C4—471no—
870C4×C4⋊C4—471no—
871C4×C4⋊C4—471no—
872C4×C4⋊C4—471no—
873C4×C4⋊C4—471no—
874C4×C4⋊C4—471no—
875C4×C4⋊C4—471no—
876C4×C4⋊C4—471no—
877C4×C4⋊C4—471no—
878C4×C4⋊C4—471no—
879C4×C4⋊C4—471no—
880C4×C4⋊C4C2×D4711yescharacteristic
881C4×C22⋊C4—471no—
882C4×C22⋊C4—471no—
883C4×C22⋊C4—471no—
884C4×C22⋊C4—471no—
885C4×C22⋊C4—471no—
886C4×C22⋊C4—471no—
887C4×C22⋊C4—471no—
888C4×C22⋊C4C2×D4711yescharacteristic
889#376—471no—
890#376—471no—
891C2×#95—471no—
892C2×#95—471no—
893C47#3660511yescharacteristic, complemented, Sylow
894C22×Q8—471no—
895C22×Q8—471no—
896C22×D4—471no—
897C22×D4—471no—
898C22×D4—471no—
899C23×C4—471no—
900C23×C4—471no—
901C23×C4—471no—
902C23×C4—471no—
903C23×C4—471no—
904C23×C4—471no—
905C23×C4—471no—
906C23×C4—471no—
907C23×C4C22×D4711yescharacteristic
908C4⋊Q8—1882no—
909#126—944no—
910#126—944no—
911#124—944no—
912#124—1882no—
913C22⋊Q8—944no—
914C22⋊Q8—944no—
915#121—944no—
916C4×Q8—944no—
917C4×Q8—1882no—
918C4×D4—944no—
919C4×D4—944no—
920C4×D4—1882no—
921C2×C4⋊C4—471no—
922C2×C4⋊C4—471no—
923C2×C4⋊C4—471no—
924C2×C4⋊C4—471no—
925C2×C4⋊C4—471no—
926C2×C4⋊C4—471no—
927C2×C4⋊C4—471no—
928C2×C4⋊C4—471no—
929C2×C4⋊C4—471no—
930C2×C4⋊C4—471no—
931C2×C4⋊C4—471no—
932C2×C4⋊C4—471no—
933C2×C4⋊C4—471no—
934C2×C4⋊C4—471no—
935C2×C4⋊C4—471no—
936C2×C4⋊C4—471no—
937C2×C4⋊C4—471no—
938C2×C4⋊C4—471no—
939C2×C4⋊C4—471no—
940C2×C4⋊C4—471no—
941C2×C4⋊C4—471no—
942C2×C4⋊C4—471no—
943C2×C4⋊C4—471no—
944C2×C4⋊C4—471no—
945C2×C4⋊C4—471no—
946C2×C4⋊C4—471no—
947C2×C4⋊C4—471no—
948C2×C4⋊C4—944no—
949C2×C4⋊C4—944no—
950C2×C4⋊C4C22×D4711yescharacteristic
951C2×C4⋊C4C22×D4711yescharacteristic
952C2×C4⋊C4C22×D4711yescharacteristic
953C2×C4⋊C4C22×D4711yescharacteristic
954C2×C4⋊C4C22×D4711yescharacteristic
955C2×C4⋊C4C22×D4711yescharacteristic
956C2×C4⋊C4C22×D4711yescharacteristic
957C2×C4⋊C4C22×D4711yescharacteristic
958C2×C22⋊C4—471no—
959C2×C22⋊C4—471no—
960C2×C22⋊C4—471no—
961C2×C22⋊C4—471no—
962C2×C22⋊C4—471no—
963C2×C22⋊C4—471no—
964C2×C22⋊C4—471no—
965C2×C22⋊C4—471no—
966C2×C22⋊C4—471no—
967C2×C22⋊C4—471no—
968C2×C22⋊C4—471no—
969C2×C22⋊C4—471no—
970C2×C22⋊C4—471no—
971C2×C22⋊C4—471no—
972C2×C22⋊C4—471no—
973C2×C22⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
983C2×C22⋊C4C22×D4711yescharacteristic
984C2×C22⋊C4C22×D4711yescharacteristic
985C2×C22⋊C4C22×D4711yescharacteristic
986C2×C22⋊C4C22×D4711yescharacteristic
987C2×C22⋊C4C22×D4711yescharacteristic
988C2×C42—471no—
989C2×C42—471no—
990C2×C42—471no—
991C2×C42—471no—
992C2×C42—471no—
993C2×C42—471no—
994C2×C42—471no—
995C2×C42—471no—
996C2×C42—471no—
997C2×C42—471no—
998C2×C42—471no—
999C2×C42—471no—
1000C2×C42—471no—
1001C2×C42—471no—
1002C2×C42—471no—
1003C2×C42—471no—
1004C2×C42—471no—
1005C2×C42—471no—
1006C2×C42—944no—
1007C2×C42—1882no—
1008C2×C42—1882no—
1009C2×C42C22×D4711yescharacteristic
1010C2×C42C22×D4711yescharacteristic
1011C2×C42C22×D4711yescharacteristic
1012C2×C42C22×D4711yescharacteristic
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#95—471no—
1025#95—471no—
1026#95—471no—
1027#95—471no—
1028#95—471no—
1029#95—471no—
1030#95—471no—
1031#95—471no—
1032#95—471no—
1033#95—471no—
1034#95—471no—
1035#95—471no—
1036#95—471no—
1037#95—471no—
1038#95—471no—
1039#95—471no—
1040#95—471no—
1041#95—471no—
1042#95—471no—
1043#95—471no—
1044#95—471no—
1045#95—471no—
1046#95—471no—
1047#95—471no—
1048#95—471no—
1049#95—471no—
1050#95—471no—
1051#95C22×D4711yescharacteristic
1052#95C22×D4711yescharacteristic
1053#95C22×D4711yescharacteristic
1054#95C22×D4711yescharacteristic
1055#95C22×D4711yescharacteristic
1056#95C22×D4711yescharacteristic
1057#95C22×D4711yescharacteristic
1058#95C22×D4711yescharacteristic
1059#95C22×D4711yescharacteristic
1060#95C22×D4711yescharacteristic
1061#95C22×D4711yescharacteristic
1062#95C22×D4711yescharacteristic
1063#95C22×D4711yescharacteristic
1064#95C22×D4711yescharacteristic
1065#95C22×D4711yescharacteristic
1066#95C22×D4711yescharacteristic
1067C24—471no—
1068C24—471no—
1069C24C23×D4711yescharacteristic
1070C2×Q8—942no—
1071C2×Q8—942no—
1072C2×Q8—942no—
1073C2×Q8—942no—
1074C2×Q8—942no—
1075C2×Q8—942no—
1076C2×D4—942no—
1077C2×D4—942no—
1078C2×D4—942no—
1079C2×D4—942no—
1080C2×D4—942no—
1081C2×D4—942no—
1082C2×D4—942no—
1083C2×D4—942no—
1084C2×D4—942no—
1085C22×C4—22no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4—471no—
1089C22×C4—471no—
1090C22×C4—471no—
1091C22×C4—471no—
1092C22×C4—471no—
1093C22×C4—474no—
1094C22×C4—474no—
1095C22×C4—471no—
1096C22×C4—471no—
1097C22×C4—471no—
1098C22×C4—471no—
1099C22×C4—471no—
1100C22×C4—471no—
1101C22×C4—471no—
1102C22×C4—471no—
1103C22×C4—471no—
1104C22×C4—942no—
1105C22×C4—942no—
1106C22×C4—942no—
1107C22×C4—942no—
1108C22×C4—942no—
1109C22×C4—942no—
1110C22×C4—942no—
1111C22×C4—942no—
1112C22×C4—942no—
1113C22×C4—942no—
1114C22×C4—942no—
1115C22×C4—942no—
1116C22×C4—942no—
1117C22×C4—1881no—
1118C22×C4—1881no—
1119C22×C4—1881no—
1120C22×C4—1881no—
1121C22×C4—1881no—
1122C22×C4—1881no—
1123C22×C4—1881no—
1124C22×C4—1881no—
1125C22×C4—1881no—
1126C22×C4C23×D4711yescharacteristic
1127C22×C4C23×D4711yescharacteristic
1128C22×C4C23×D4711yescharacteristic
1129C22×C4C23×D4711yescharacteristic
1130C22×C4C23×D4711yescharacteristic
1131C22×C4C23×D4711yescharacteristic
1132C22×C4C23×D4711yescharacteristic
1133C22×C4C23×D4711yescharacteristic
1134C22×C4C23×D4711yescharacteristic
1135C22×C4C23×D4711yescharacteristic
1136C22×C4C23×D4711yescharacteristic
1137C22×C4C23×D4711yescharacteristic
1138C22×C4C23×D4711yescharacteristic
1139C22×C4C23×D4711yescharacteristic
1140C4⋊C4—22no—
1141C4⋊C4—22no—
1142C4⋊C4—22no—
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—474no—
1149C4⋊C4—942no—
1150C4⋊C4—942no—
1151C4⋊C4—942no—
1152C4⋊C4—942no—
1153C4⋊C4—942no—
1154C4⋊C4—942no—
1155C4⋊C4—942no—
1156C4⋊C4—942no—
1157C4⋊C4—942no—
1158C4⋊C4—942no—
1159C4⋊C4—942no—
1160C4⋊C4—942no—
1161C4⋊C4—942no—
1162C4⋊C4—942no—
1163C4⋊C4—942no—
1164C4⋊C4—942no—
1165C4⋊C4—942no—
1166C4⋊C4—942no—
1167C4⋊C4—1881no—
1168C4⋊C4—1881no—
1169C4⋊C4—1881no—
1170C4⋊C4—1881no—
1171C4⋊C4—1881no—
1172C4⋊C4—1881no—
1173C4⋊C4—1881no—
1174C4⋊C4—1881no—
1175C22⋊C4—22no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—41no—
1179C22⋊C4—41no—
1180C22⋊C4—41no—
1181C22⋊C4—942no—
1182C22⋊C4—942no—
1183C22⋊C4—942no—
1184C22⋊C4—942no—
1185C22⋊C4—942no—
1186C22⋊C4—942no—
1187C22⋊C4—942no—
1188C22⋊C4—942no—
1189C22⋊C4—942no—
1190C22⋊C4—942no—
1191C22⋊C4—942no—
1192C22⋊C4—942no—
1193C22⋊C4—942no—
1194C22⋊C4—942no—
1195C22⋊C4—942no—
1196C22⋊C4—942no—
1197C22⋊C4—942no—
1198C22⋊C4—1881no—
1199C22⋊C4—1881no—
1200C22⋊C4—1881no—
1201C22⋊C4—1881no—
1202C22⋊C4—1881no—
1203C22⋊C4—1881no—
1204C22⋊C4—1881no—
1205C42—22no—
1206C42—22no—
1207C42—41no—
1208C42—41no—
1209C42—474no—
1210C42—942no—
1211C42—942no—
1212C42—942no—
1213C42—942no—
1214C42—942no—
1215C42—942no—
1216C42—942no—
1217C42—942no—
1218C42—942no—
1219C42—942no—
1220C42—942no—
1221C42—1881no—
1222C42—1881no—
1223C42—1881no—
1224C42—1881no—
1225C42—1881no—
1226C42—1881no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—472no—
1235C23—472no—
1236C23—472no—
1237C23—941no—
1238C23—941no—
1239C23—941no—
1240C23—941no—
1241C23—941no—
1242C23—941no—
1243C23—941no—
1244C23—941no—
1245C23—941no—
1246C23—941no—
1247C23—941no—
1248C23C24×D4711yescharacteristic
1249Q8—1884no—
1250Q8—1884no—
1251D4—1884no—
1252D4—1884no—
1253D4—1884no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—82no—
1293C2×C4—472no—
1294C2×C4—472no—
1295C2×C4—472no—
1296C2×C4—472no—
1297C2×C4—472no—
1298C2×C4—472no—
1299C2×C4—472no—
1300C2×C4—948no—
1301C2×C4—948no—
1302C2×C4—941no—
1303C2×C4—941no—
1304C2×C4—941no—
1305C2×C4—941no—
1306C2×C4—941no—
1307C2×C4—941no—
1308C2×C4—941no—
1309C2×C4—941no—
1310C2×C4—941no—
1311C2×C4—941no—
1312C2×C4—941no—
1313C2×C4—941no—
1314C2×C4—941no—
1315C2×C4—941no—
1316C2×C4—941no—
1317C2×C4—941no—
1318C2×C4—941no—
1319C2×C4—941no—
1320C2×C4—941no—
1321C2×C4—941no—
1322C2×C4—941no—
1323C2×C4—941no—
1324C2×C4—941no—
1325C2×C4—941no—
1326C2×C4—941no—
1327C2×C4—941no—
1328C2×C4—941no—
1329C2×C4—941no—
1330C2×C4—941no—
1331C2×C4—941no—
1332C2×C4—941no—
1333C2×C4—941no—
1334C2×C4—941no—
1335C2×C4—941no—
1336C2×C4—941no—
1337C2×C4—3762no—
1338C2×C4—1884no—
1339C2×C4—1884no—
1340C2×C4—1884no—
1341C2×C4—1884no—
1342C2×C4—1884no—
1343C2×C4#41×D4712yes—
1344C2×C4#41×D4712yes—
1345C2×C4#41×D4712yes—
1346C2×C4#41×D4712yes—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—474no—
1355C22—942no—
1356C22—942no—
1357C22—942no—
1358C22—942no—
1359C22—942no—
1360C22—942no—
1361C22—1881no—
1362C22—1881no—
1363C22—1881no—
1364C22—1881no—
1365C22—1881no—
1366C22—1881no—
1367C22—1881no—
1368C22C2×#41×D4711yescharacteristic
1369C22C2×#41×D4711yescharacteristic
1370C22C2×#41×D4711yescharacteristic
1371C22C2×#41×D4711yescharacteristic
1372C22H(5,𝔽2)×D4711yescharacteristic
1373C222−1+4×D4711yescharacteristic
1374C22#1568995911yescharacteristic
1375C4—22no—
1376C4—22no—
1377C4—22no—
1378C4—22no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—474no—
1390C4—942no—
1391C4—942no—
1392C4—942no—
1393C4—942no—
1394C4—1881no—
1395C4—1881no—
1396C4—1881no—
1397C4—1881no—
1398C4—1881no—
1399C4—1881no—
1400C4—1881no—
1401C4—1881no—
1402C4—1881no—
1403C2—81no—
1404C2—944no—
1405C2—3761no—
1406C2#2025668211yescharacteristic
1407C2#553×D4711yescharacteristic
1408C2#556×D4711yescharacteristic
1409C2#2025697911yescharacteristic
1410C2#2025713911yescharacteristic
1411C2#2025721911yescharacteristic
1412C2#2025742911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2573C2
prime radicalC2×#13093997C22
hypercenter#2573D47
hypocenterC47#36605
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2573

Complements

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

NH ≅ G/Ntype
1. #20251739C2semidirect
4. #20248898C2semidirect
5. #20248890C2semidirect
6. #20248739C2semidirect
7. #20248733C2semidirect
8. #20248641C2semidirect
9. #20248615C2semidirect
10. #20248363C2semidirect
11. #20248152C2semidirect
12. #20248150C2semidirect
13. #20247995C2semidirect
14. #20247969C2semidirect
15. #20247949C2semidirect
16. #20247941C2semidirect
17. #20247652C2semidirect
18. #20247650C2semidirect
19. #20247174C2semidirect
20. #20247159C2semidirect
21. #20246511C2semidirect
22. #20246509C2semidirect
23. #20246456C2semidirect
24. #20246350C2semidirect
25. #20246325C2semidirect
26. #20246321C2semidirect
27. #20245922C2semidirect
28. #20245922C2semidirect
30. C4×C4⋊C4×D47C2semidirect
31. C47×#2573C2semidirect
705. #2573D47semidirect
893. C47#36605semidirect

Maximal subgroups

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

subgroupindex
#202517392
#202516862
#202488982
#202488902
#202487392
#202487332
#202486412
#202486152
#202483632
#202481522
#202481502
#202479952
#202479692
#202479492
#202479412
#202476522
#202476502
#202471742
#202471592
#202465112
#202465092
#202464562
#202463502
#202463252
#202463212
#202459222
C4×#130939972
C4×C4⋊C4×D472
C47×#25732
#3660547