Finite Group Databasebeta

← #26423563

Subgroups — #26423563

Order 12032.

1954 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251681C211yesmaximal, characteristic, complemented
2#20251671C211yesmaximal, characteristic, complemented
3#20250578C211yesmaximal, characteristic, complemented
4#20250571C211yesmaximal, characteristic, complemented
5#20250541C211yesmaximal, characteristic, complemented
6#20250533C211yesmaximal, characteristic, complemented
7#20250509C211yesmaximal, characteristic, complemented
8#20250297C211yesmaximal, characteristic, complemented
9#20250075C211yesmaximal, characteristic, complemented
10#20250060C211yesmaximal, characteristic, complemented
11#20250000C211yesmaximal, characteristic, complemented
12#20249974C211yesmaximal, characteristic, complemented
13#20249876C211yesmaximal, characteristic, complemented
14#20249786C211yesmaximal, characteristic, complemented
15#20249772C211yesmaximal, characteristic, complemented
16#20249718C211yesmaximal, characteristic, complemented
17#20249631C211yesmaximal, characteristic, complemented
18#20249597C211yesmaximal, characteristic, complemented
19#20249514C211yesmaximal, characteristic, complemented
20#20248916C211yesmaximal, characteristic, complemented
21#20248699C211yesmaximal, characteristic, complemented
22#20248524C211yesmaximal, characteristic, complemented
23#20248524C211yesmaximal, characteristic, complemented
24#20247626C211yesmaximal, characteristic, complemented
25#20247581C211yesmaximal, characteristic, complemented
26#20247506C211yesmaximal, characteristic, complemented
27#20247491C211yesmaximal, characteristic, complemented
28#20246174C211yesmaximal, characteristic, complemented
29#20246150C211yesmaximal, characteristic, complemented
30#20245769C211yesmaximal, characteristic, complemented
31C47×#2667C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C2×#13094019C2211yescharacteristic
34C2×#13094019C2211yescharacteristic
35C2×#13094019C2211yescharacteristic, complemented
36C2×#13094009C2211yescharacteristic
37C2×#13094009C2211yescharacteristic, complemented
38C2×#13094008C2211yescharacteristic
39C2×#13094007C2211yescharacteristic
40C2×#13093999C2211yescharacteristic
41C2×#13093999C2211yescharacteristic
42C2×#13093999C2211yescharacteristic
43C2×#13093999C2211yescharacteristic
44C2×#13093999C2211yescharacteristic
45C2×#13093998C2211yescharacteristic
46C2×#13093994C2211yescharacteristic
47C2×#13093994C2211yescharacteristic
48C2×#13093994C2211yescharacteristic
49C2×#13093981C2211yescharacteristic
50C2×#13093981C2211yescharacteristic
51C47⋊#401C2211yescharacteristic, complemented
52#15689062C2211yescharacteristic, complemented
53#15689062C2211yescharacteristic, complemented
54#15689061C2211yescharacteristic, complemented
55#15689061C2211yescharacteristic, complemented
56#15689058C2211yescharacteristic
57#15689058C2211yescharacteristic, complemented
58#15689058C2211yescharacteristic, complemented
59#15689056C2211yescharacteristic, complemented
60#15689056C2211yescharacteristic, complemented
61#15689055C2211yescharacteristic, complemented
62#15689052C2211yescharacteristic
63#15689052C2211yescharacteristic, complemented
64#15689050C2211yescharacteristic, complemented
65#15689050C2211yescharacteristic, complemented
66#15689049C2211yescharacteristic
67#15689049C2211yescharacteristic
68#15689045C2211yescharacteristic
69#15689045C2211yescharacteristic, complemented
70#15689045C2211yescharacteristic, complemented
71#15689041C2211yescharacteristic
72#15689041C2211yescharacteristic
73#15689041C2211yescharacteristic, complemented
74#15689041C2211yescharacteristic, complemented
75#15689040C2211yescharacteristic
76#15689040C2211yescharacteristic
77#15689040C2211yescharacteristic
78#15689040C2211yescharacteristic
79#15689040C2211yescharacteristic
80#15689040C2211yescharacteristic
81#15689040C2211yescharacteristic
82#15689040C2211yescharacteristic
83#15689040C2211yescharacteristic, complemented
84#15689040C2211yescharacteristic, complemented
85#15689039C2211yescharacteristic
86#15689039C2211yescharacteristic
87#15689033C2211yescharacteristic
88#15689033C2211yescharacteristic, complemented
89#15689032C2211yescharacteristic
90#15689032C2211yescharacteristic
91#15689025C2211yescharacteristic, complemented
92#15689025C2211yescharacteristic, complemented
93#15689024C2211yescharacteristic
94#15689024C2211yescharacteristic
95#15689024C2211yescharacteristic
96#15689023C2211yescharacteristic
97#15689023C2211yescharacteristic
98#15689023C2211yescharacteristic
99#15689019C2211yescharacteristic, complemented
100#15689018C2211yescharacteristic, complemented
101#15689017C2211yescharacteristic
102#15689015C2211yescharacteristic
103#15689014C2211yescharacteristic, complemented
104#15689014C2211yescharacteristic, complemented
105#15689013C2211yescharacteristic
106#15689013C2211yescharacteristic
107#15689013C2211yescharacteristic
108#15689013C2211yescharacteristic, complemented
109#15689013C2211yescharacteristic, complemented
110#15689013C2211yescharacteristic, complemented
111#15689013C2211yescharacteristic, complemented
112#15689012C2211yescharacteristic
113#15689012C2211yescharacteristic, complemented
114#15689012C2211yescharacteristic, complemented
115#15689012C2211yescharacteristic, complemented
116#15689012C2211yescharacteristic, complemented
117#15689011C2211yescharacteristic
118#15689010C2211yescharacteristic, complemented
119#15689010C2211yescharacteristic, complemented
120#15689008C2211yescharacteristic, complemented
121#15689008C2211yescharacteristic, complemented
122#15689005C2211yescharacteristic, complemented
123#15689004C2211yescharacteristic, complemented
124#15689004C2211yescharacteristic, complemented
125#15689001C2211yescharacteristic
126#15689001C2211yescharacteristic
127#15689001C2211yescharacteristic
128#15689001C2211yescharacteristic
129#15689001C2211yescharacteristic
130#15689001C2211yescharacteristic
131#15689001C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic, complemented
136#15689001C2211yescharacteristic, complemented
137#15689000C2211yescharacteristic
138#15689000C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688997C2211yescharacteristic
143#15688997C2211yescharacteristic
144#15688997C2211yescharacteristic
145#15688997C2211yescharacteristic
146#15688994C2211yescharacteristic, complemented
147#15688994C2211yescharacteristic, complemented
148#15688994C2211yescharacteristic, complemented
149#15688994C2211yescharacteristic, complemented
150#15688994C2211yescharacteristic, complemented
151#15688988C2211yescharacteristic, complemented
152#15688985C2211yescharacteristic
153#15688985C2211yescharacteristic
154#15688985C2211yescharacteristic, complemented
155#15688984C2211yescharacteristic
156#15688982C2211yescharacteristic
157#15688982C2211yescharacteristic
158#15688981C2211yescharacteristic
159#15688981C2211yescharacteristic
160#15688980C2211yescharacteristic
161#15688980C2211yescharacteristic
162#15688978C2211yescharacteristic
163#15688978C2211yescharacteristic
164#15688978C2211yescharacteristic
165#15688974C2211yescharacteristic, complemented
166C4×(C2×D47)⋊C4C2211yescharacteristic
167C4×(C2×D47)⋊C4C2211yescharacteristic
168C4×C22⋊Dic47C2211yescharacteristic
169#15688970C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic, complemented
171#15688970C2211yescharacteristic, complemented
172C47×#399C2211yescharacteristic
173C47×#399C2211yescharacteristic
174C47×#398C2211yescharacteristic, complemented
175C47×#398C2211yescharacteristic, complemented
176C47×#398C2211yescharacteristic, complemented
177C47×#398C2211yescharacteristic, complemented
178C47×#396C2211yescharacteristic
179C47×#396C2211yescharacteristic
180C47×#389C2211yescharacteristic, complemented
181C47×#389C2211yescharacteristic, complemented
182C47×#387C2211yescharacteristic, complemented
183C47×#387C2211yescharacteristic, complemented
184C47×#381C2211yescharacteristic
185C47×#380C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×D188C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C22×C4×D47—24no—
202C22×C4×D47—42no—
203C22×C4×D47—42no—
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211#13094019—42no—
212#13094019—42no—
213#13094019—42no—
214#13094009—42no—
215#13094009—42no—
216#13094008—42no—
217#13094007—24no—
218#13093999—42no—
219#13093999—42no—
220#13093999—42no—
221#13093999—42no—
222#13093999—42no—
223#13093998—24no—
224#13093994—42no—
225#13093994—42no—
226#13093994—42no—
227#13093981—42no—
228#13093981—42no—
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C23×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×C4⋊C4×C47C2311yescharacteristic
337C2×C4⋊C4×C47C2311yescharacteristic
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C42×C47C2311yescharacteristic
350C2×C42×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
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363C24×C47C2411yescharacteristic
364C23×D47—22no—
365C23×D47—22no—
366C23×D47—22no—
367C23×D47—41no—
368C23×D47—41no—
369C23×D47—41no—
370C23×D47—41no—
371C23×D47C2411yescharacteristic
372C23×D47C2411yescharacteristic
373C23×D47C2411yescharacteristic
374C23×D47C2411yescharacteristic
375C23×D47C2411yescharacteristic
376C22×C4×C47—41no—
377C22×C4×C47—41no—
378C22×C4×C47#4114yes—
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×C4×C47C2411yescharacteristic
388C22×C4×C47C2411yescharacteristic
389C22×C4×C47C2411yescharacteristic
390C22×C4×C47C2411yescharacteristic
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2411yescharacteristic
393C2×C22⋊D47—22no—
394C2×C22⋊D47—22no—
395C2×C22⋊D47—22no—
396C2×C22⋊D47—41no—
397C2×C22⋊D47—41no—
398C2×C22⋊D47—41no—
399C2×C22⋊D47—41no—
400C2×C22⋊D47—41no—
401C2×C22⋊D47—41no—
402C22×Dic47—22no—
403C22×Dic47—22no—
404C22×Dic47—41no—
405C22×Dic47C2411yescharacteristic
406C22×Dic47C2411yescharacteristic
407C22×Dic47C2411yescharacteristic
408C22×Dic47C2411yescharacteristic
409C22×Dic47C2411yescharacteristic
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C2×D188—22no—
417C2×D188—22no—
418C2×D188—22no—
419C2×D188—22no—
420C2×D188—22no—
421C2×D188—22no—
422C2×D188—22no—
423C2×D188—41no—
424C2×D188—41no—
425C2×D188—41no—
426C2×D188—41no—
427C2×D188—41no—
428C2×D188—41no—
429C2×D188—41no—
430C2×D188—41no—
431C2×D188—41no—
432C2×D188—41no—
433C2×D188—41no—
434C2×D188—41no—
435C2×D188—41no—
436C2×D188—41no—
437C2×D188—41no—
438C2×D188—41no—
439C2×D188—41no—
440C2×D188—41no—
441C2×D188—41no—
442C2×D188—41no—
443C2×C4×D47—22no—
444C2×C4×D47—22no—
445C2×C4×D47—22no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—416no—
452C2×C4×D47—41no—
453C2×C4×D47—41no—
454C2×C4×D47—41no—
455C2×C4×D47—41no—
456C2×C4×D47—41no—
457C2×C4×D47—41no—
458C2×C4×D47—41no—
459C2×C4×D47—41no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C4⋊C4×C47—41no—
466C4⋊C4×C47—41no—
467C4⋊C4×C47—41no—
468C4⋊C4×C47—41no—
469C4⋊C4×C47—41no—
470C4⋊C4×C47—41no—
471C4⋊C4×C47—41no—
472C4⋊C4×C47—41no—
473C4⋊C4×C47—41no—
474C4⋊C4×C47—41no—
475C4⋊C4×C47—41no—
476C4⋊C4×C47—41no—
477C4⋊C4×C47—41no—
478C4⋊C4×C47—41no—
479C22⋊C4×C47—41no—
480C22⋊C4×C47—41no—
481C22⋊C4×C47—41no—
482C22⋊C4×C47—41no—
483C22⋊C4×C47—41no—
484C22⋊C4×C47—41no—
485C42×C47—41no—
486C42×C47—41no—
487C22⋊Dic47—22no—
488C22⋊Dic47—41no—
489C22⋊Dic47—41no—
490(C2×D47)⋊C4—22no—
491(C2×D47)⋊C4—22no—
492(C2×D47)⋊C4—22no—
493(C2×D47)⋊C4—22no—
494(C2×D47)⋊C4—22no—
495(C2×D47)⋊C4—22no—
496(C2×D47)⋊C4—22no—
497(C2×D47)⋊C4—22no—
498(C2×D47)⋊C4—22no—
499(C2×D47)⋊C4—22no—
500(C2×D47)⋊C4—22no—
501(C2×D47)⋊C4—22no—
502(C2×D47)⋊C4—22no—
503(C2×D47)⋊C4—22no—
504(C2×D47)⋊C4—22no—
505(C2×D47)⋊C4—41no—
506(C2×D47)⋊C4—41no—
507(C2×D47)⋊C4—41no—
508(C2×D47)⋊C4—41no—
509(C2×D47)⋊C4—41no—
510(C2×D47)⋊C4—41no—
511(C2×D47)⋊C4—41no—
512(C2×D47)⋊C4—41no—
513(C2×D47)⋊C4—41no—
514(C2×D47)⋊C4—41no—
515(C2×D47)⋊C4—41no—
516(C2×D47)⋊C4—41no—
517(C2×D47)⋊C4—41no—
518(C2×D47)⋊C4—41no—
519(C2×D47)⋊C4—41no—
520(C2×D47)⋊C4—41no—
521(C2×D47)⋊C4—41no—
522(C2×D47)⋊C4—41no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535C4⋊Dic47—22no—
536C4⋊Dic47—22no—
537C4⋊Dic47—41no—
538C4⋊Dic47—41no—
539C4⋊Dic47—41no—
540Dic47⋊C4—22no—
541Dic47⋊C4—22no—
542Dic47⋊C4—22no—
543Dic47⋊C4—22no—
544Dic47⋊C4—41no—
545Dic47⋊C4—41no—
546Dic47⋊C4—41no—
547Dic47⋊C4—41no—
548Dic47⋊C4—41no—
549Dic47⋊C4—41no—
550Dic47⋊C4—41no—
551C4×Dic47—41no—
552C4×Dic47—41no—
553C4×Dic47—41no—
554C4×Dic47—41no—
555C4×Dic47—41no—
556C4×Dic47—41no—
557C4×Dic47—41no—
558C23×C47—21no—
559C23×C47—21no—
560C23×C47—21no—
561C23×C47—21no—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47C2×#4112yes—
565C23×C47C2511yescharacteristic
566C22×D47—21no—
567C22×D47—21no—
568C22×D47—21no—
569C22×D47—21no—
570C22×D47—21no—
571C22×D47—21no—
572C22×D47—21no—
573C22×D47—21no—
574C22×D47—21no—
575C22×D47—21no—
576C22×D47—21no—
577C22×D47—21no—
578C22×D47—21no—
579C22×D47—21no—
580C22×D47—21no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—21no—
584C22×D47—21no—
585C22×D47—21no—
586C22×D47—21no—
587C22×D47—21no—
588C22×D47—21no—
589C22×D47—21no—
590C22×D47—21no—
591C22×D47—21no—
592C22×D47—21no—
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—44no—
600C22×D47—44no—
601C22×D47—44no—
602C22×D47—44no—
603C22×D47—44no—
604C22×D47—44no—
605C22×D47—44no—
606C22×D47H(5,𝔽2)12yes—
607C22×D47H(5,𝔽2)12yes—
608C2×C4×C47—21no—
609C2×C4×C47—21no—
610C2×C4×C47—21no—
611C2×C4×C47—21no—
612C2×C4×C47—21no—
613C2×C4×C47—21no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—44no—
649C2×C4×C47C2×#4112yes—
650C2×C4×C47C2×#4112yes—
651C22⋊D47—82no—
652C22⋊D47—82no—
653C22⋊D47—82no—
654C2×Dic47—21no—
655C2×Dic47—21no—
656C2×Dic47—21no—
657C2×Dic47—21no—
658C2×Dic47—21no—
659C2×Dic47—21no—
660C2×Dic47—21no—
661C2×Dic47—21no—
662C2×Dic47—21no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—44no—
687C2×Dic47H(5,𝔽2)12yes—
688D188—82no—
689D188—82no—
690D188—82no—
691D188—82no—
692D188—82no—
693D188—82no—
694D188—82no—
695D188—82no—
696D188—82no—
697C4×D47—28no—
698C4×D47—44no—
699C4×D47—44no—
700C4×D47—44no—
701C4×D47—82no—
702C4×D47—82no—
703C4×D47—82no—
704#36734—471nomaximal, Sylow
705C22×C47—22no—
706C22×C47—22no—
707C22×C47—22no—
708C22×C47—41no—
709C22×C47—41no—
710C22×C47—41no—
711C22×C47—41no—
712C22×C47C22×#4111yescharacteristic
713C22×C47C2×H(5,𝔽2)11yescharacteristic
714C22×C47C2×H(5,𝔽2)11yescharacteristic
715C22×C47C2×H(5,𝔽2)11yescharacteristic
716C22×C47#58511yescharacteristic
717C22×C47#58511yescharacteristic
718C22×C47#58511yescharacteristic
719C2×D47—22no—
720C2×D47—22no—
721C2×D47—22no—
722C2×D47—22no—
723C2×D47—22no—
724C2×D47—22no—
725C2×D47—416no—
726C2×D47—41no—
727C2×D47—41no—
728C2×D47—41no—
729C2×D47—41no—
730C2×D47—41no—
731C2×D47—41no—
732C2×D47—41no—
733C2×D47—41no—
734C2×D47—41no—
735C2×D47—41no—
736C2×D47—41no—
737C2×D47—41no—
738C2×D47—41no—
739C2×D47—41no—
740C2×D47—41no—
741C2×D47—41no—
742C2×D47—41no—
743C2×D47—41no—
744C2×D47—41no—
745C2×D47—41no—
746C2×D47—41no—
747C2×D47—41no—
748C2×D47—41no—
749C2×D47—41no—
750C2×D47—41no—
751C2×D47—41no—
752C2×D47—41no—
753C2×D47—41no—
754C2×D47—41no—
755C4×C47—22no—
756C4×C47—22no—
757C4×C47—41no—
758C4×C47—41no—
759C4×C47—41no—
760C4×C47—41no—
761C4×C47—41no—
762C4×C47—41no—
763C4×C47—41no—
764C4×C47—41no—
765C4×C47—41no—
766C4×C47—41no—
767C4×C47—41no—
768C4×C47—41no—
769Dic47—22no—
770Dic47—41no—
771Dic47—41no—
772Dic47—41no—
773Dic47—41no—
774Dic47—41no—
775Dic47—41no—
776Dic47—41no—
777Dic47—41no—
778Dic47—41no—
779Dic47—41no—
780#2849—471no—
781#2847—471no—
782#2746—471no—
783#2746—471no—
784#2744—471no—
785#2743—471no—
786#2741—471no—
787#2722—471no—
788#2706—471no—
789#2705—471no—
790#2701—471no—
791#2699—471no—
792#2691—471no—
793#2685—471no—
794#2685—471no—
795#2678—471no—
796#2671—471no—
797#2668—471no—
798#2667D4711yescharacteristic, complemented
799#2661—471no—
800#2595—471no—
801#2576—471no—
802#2559—471no—
803#2559—471no—
804#2479—471no—
805#2476—471no—
806#2471—471no—
807#2470—471no—
808#2335—471no—
809#2333—471no—
810#2280—471no—
811C2×C47—42no—
812C2×C47#345511yescharacteristic
813C2×C47#349011yescharacteristic
814C2×C47#349411yescharacteristic
815C2×C47#353311yescharacteristic
816C2×C47#353411yescharacteristic
817C2×C47#353911yescharacteristic
818C2×C47#354211yescharacteristic
819D47—42no—
820D47—42no—
821D47—81no—
822D47—81no—
823D47—81no—
824C24×C4—471no—
825C2×#126—471no—
826C2×#126—471no—
827C2×#126—471no—
828C2×#123—471no—
829C2×#123—471no—
830C2×#123—471no—
831C2×#123—471no—
832C2×#121—471no—
833C2×#121—471no—
834C2×#121—471no—
835C2×#121—471no—
836C2×#121—471no—
837C2×#121—471no—
838C2×#120—471no—
839C2×#120—471no—
840C2×#120—471no—
841C2×#117—471no—
842C2×#117—471no—
843#401—471no—
844#400—471no—
845#400—471no—
846#400—471no—
847#400—471no—
848#399—471no—
849#399—471no—
850#399—471no—
851#399C2×D4711yescharacteristic
852#399C2×D4711yescharacteristic
853#398—471no—
854#398—471no—
855#398—471no—
856#398C2×D4711yescharacteristic, complemented
857#398C2×D4711yescharacteristic, complemented
858#398C2×D4711yescharacteristic, complemented
859#398C2×D4711yescharacteristic, complemented
860#397—471no—
861#397—471no—
862#397—471no—
863#397—471no—
864#397—471no—
865#397—471no—
866#396—471no—
867#396—471no—
868#396—471no—
869#396C2×D4711yescharacteristic
870#396C2×D4711yescharacteristic
871#394—471no—
872#394—471no—
873#394—471no—
874#394—471no—
875#394—471no—
876#394—471no—
877#394—471no—
878#394—471no—
879#394—471no—
880#394—471no—
881#394—471no—
882#394—471no—
883#394—471no—
884#394—471no—
885#394—471no—
886#394—471no—
887#392—471no—
888#392—471no—
889#392—471no—
890#392—471no—
891#390—471no—
892#390—471no—
893#390—471no—
894#390—471no—
895#390—471no—
896#390—471no—
897#390—471no—
898#390—471no—
899#389—471no—
900#389—471no—
901#389C2×D4711yescharacteristic, complemented
902#389C2×D4711yescharacteristic, complemented
903#388—471no—
904#388—471no—
905#388—471no—
906#388—471no—
907#388—471no—
908#388—471no—
909#388—471no—
910#388—471no—
911#388—471no—
912#388—471no—
913#388—471no—
914#388—471no—
915#388—471no—
916#388—471no—
917#388—471no—
918#388—471no—
919#388—471no—
920#387—471no—
921#387—471no—
922#387—471no—
923#387—471no—
924#387—471no—
925#387—471no—
926#387—471no—
927#387C2×D4711yescharacteristic, complemented
928#387C2×D4711yescharacteristic, complemented
929#386—471no—
930#386—471no—
931#386—471no—
932#386—471no—
933#386—471no—
934#386—471no—
935#386—471no—
936#386—471no—
937#386—471no—
938#386—471no—
939#386—471no—
940#386—471no—
941#386—471no—
942#386—471no—
943#386—471no—
944#386—471no—
945#386—471no—
946#385—471no—
947#385—471no—
948#385—471no—
949#385—471no—
950#385—471no—
951#385—471no—
952#385—471no—
953#385—471no—
954#385—471no—
955#382—471no—
956#381—471no—
957#381—471no—
958#381—471no—
959#381—471no—
960#381C2×D4711yescharacteristic
961#380—471no—
962#380—471no—
963#380—471no—
964#380—471no—
965#380—471no—
966#380—471no—
967#380C2×D4711yescharacteristic
968#379—471no—
969#379—471no—
970#379—471no—
971C4×C4⋊C4—471no—
972C4×C22⋊C4—471no—
973C4×C22⋊C4—471no—
974C4×C22⋊C4—471no—
975C4×C22⋊C4—471no—
976C4×C22⋊C4—471no—
977C4×C22⋊C4—471no—
978C4×C22⋊C4C2×D4711yescharacteristic
979C47#3673411yescharacteristic, complemented, Sylow
980C25—471no—
981C22×D4—471no—
982C22×D4—471no—
983C22×D4—471no—
984C22×D4—471no—
985C22×D4—471no—
986C22×D4—471no—
987C22×D4—471no—
988C22×D4—471no—
989C22×D4—471no—
990C22×D4—471no—
991C22×D4—471no—
992C22×D4—471no—
993C23×C4—471no—
994C23×C4—471no—
995C23×C4—471no—
996C23×C4—471no—
997C23×C4—471no—
998C23×C4—471no—
999C23×C4—471no—
1000C23×C4—471no—
1001C23×C4—944no—
1002C23×C4—1882no—
1003C23×C4—1882no—
1004C23×C4C22×D4711yescharacteristic
1005#126—1882no—
1006#126—1882no—
1007#126—1882no—
1008#123—944no—
1009#123—1882no—
1010#123—1882no—
1011#123—1882no—
1012#121—944no—
1013#121—1882no—
1014#121—1882no—
1015#121—1882no—
1016#121—1882no—
1017#121—1882no—
1018#120—1882no—
1019#120—1882no—
1020#120—1882no—
1021#117—1882no—
1022#117—1882no—
1023C2×C4⋊C4—471no—
1024C2×C4⋊C4—471no—
1025C2×C4⋊C4—471no—
1026C2×C4⋊C4—471no—
1027C2×C4⋊C4—471no—
1028C2×C4⋊C4—471no—
1029C2×C4⋊C4—471no—
1030C2×C4⋊C4—471no—
1031C2×C4⋊C4—471no—
1032C2×C4⋊C4—471no—
1033C2×C4⋊C4—471no—
1034C2×C4⋊C4—471no—
1035C2×C4⋊C4—471no—
1036C2×C4⋊C4—471no—
1037C2×C4⋊C4—471no—
1038C2×C4⋊C4—471no—
1039C2×C4⋊C4C22×D4711yescharacteristic
1040C2×C4⋊C4C22×D4711yescharacteristic
1041C2×C4⋊C4C22×D4711yescharacteristic
1042C2×C4⋊C4C22×D4711yescharacteristic
1043C2×C4⋊C4C22×D4711yescharacteristic
1044C2×C4⋊C4C22×D4711yescharacteristic
1045C2×C4⋊C4C22×D4711yescharacteristic
1046C2×C4⋊C4C22×D4711yescharacteristic
1047C2×C4⋊C4C22×D4711yescharacteristic
1048C2×C4⋊C4C22×D4711yescharacteristic
1049C2×C4⋊C4C22×D4711yescharacteristic
1050C2×C4⋊C4C22×D4711yescharacteristic
1051C2×C4⋊C4C22×D4711yescharacteristic
1052C2×C4⋊C4C22×D4711yescharacteristic
1053C2×C22⋊C4—471no—
1054C2×C22⋊C4—471no—
1055C2×C22⋊C4—471no—
1056C2×C22⋊C4—471no—
1057C2×C22⋊C4—471no—
1058C2×C22⋊C4—471no—
1059C2×C22⋊C4—471no—
1060C2×C22⋊C4—471no—
1061C2×C22⋊C4—471no—
1062C2×C22⋊C4—471no—
1063C2×C22⋊C4—471no—
1064C2×C22⋊C4—471no—
1065C2×C22⋊C4—471no—
1066C2×C22⋊C4—471no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—471no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4C22×D4711yescharacteristic
1102C2×C22⋊C4C22×D4711yescharacteristic
1103C2×C22⋊C4C22×D4711yescharacteristic
1104C2×C22⋊C4C22×D4711yescharacteristic
1105C2×C22⋊C4C22×D4711yescharacteristic
1106C2×C22⋊C4C22×D4711yescharacteristic
1107C2×C42—471no—
1108C2×C42—471no—
1109C2×C42—471no—
1110C2×C42—471no—
1111C2×C42—471no—
1112C2×C42—471no—
1113C2×C42—471no—
1114C2×C42C22×D4711yescharacteristic
1115C2×C42C22×D4711yescharacteristic
1116#95—471no—
1117#95—471no—
1118#95—471no—
1119#95—471no—
1120#95—471no—
1121#95—471no—
1122#95—471no—
1123#95—471no—
1124#95—471no—
1125#95—471no—
1126#95—471no—
1127#95—471no—
1128#95—471no—
1129#95—471no—
1130#95—471no—
1131#95—471no—
1132#95—471no—
1133#95—471no—
1134#95—471no—
1135#95—471no—
1136#95—471no—
1137#95—471no—
1138#95—471no—
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95C22×D4711yescharacteristic
1145#95C22×D4711yescharacteristic
1146#95C22×D4711yescharacteristic
1147#95C22×D4711yescharacteristic
1148#95C22×D4711yescharacteristic
1149#95C22×D4711yescharacteristic
1150#95C22×D4711yescharacteristic
1151#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156C24—471no—
1157C24—471no—
1158C24—471no—
1159C24—471no—
1160C24—471no—
1161C24—942no—
1162C24—942no—
1163C24—942no—
1164C24—1881no—
1165C24—1881no—
1166C24—1881no—
1167C24—1881no—
1168C24C23×D4711yescharacteristic
1169C2×D4—942no—
1170C2×D4—942no—
1171C2×D4—942no—
1172C2×D4—942no—
1173C2×D4—942no—
1174C2×D4—942no—
1175C2×D4—942no—
1176C2×D4—942no—
1177C2×D4—942no—
1178C2×D4—942no—
1179C2×D4—1881no—
1180C2×D4—1881no—
1181C2×D4—1881no—
1182C2×D4—1881no—
1183C2×D4—1881no—
1184C2×D4—1881no—
1185C2×D4—1881no—
1186C2×D4—1881no—
1187C2×D4—1881no—
1188C2×D4—1881no—
1189C2×D4—1881no—
1190C2×D4—1881no—
1191C2×D4—1881no—
1192C2×D4—1881no—
1193C2×D4—1881no—
1194C2×D4—1881no—
1195C2×D4—1881no—
1196C2×D4—1881no—
1197C2×D4—1881no—
1198C2×D4—1881no—
1199C2×D4—1881no—
1200C2×D4—1881no—
1201C2×D4—1881no—
1202C2×D4—1881no—
1203C2×D4—1881no—
1204C2×D4—1881no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—471no—
1208C22×C4—471no—
1209C22×C4—471no—
1210C22×C4—471no—
1211C22×C4—471no—
1212C22×C4—471no—
1213C22×C4—471no—
1214C22×C4—471no—
1215C22×C4—471no—
1216C22×C4—471no—
1217C22×C4—471no—
1218C22×C4—942no—
1219C22×C4—942no—
1220C22×C4—942no—
1221C22×C4—942no—
1222C22×C4—942no—
1223C22×C4—942no—
1224C22×C4—942no—
1225C22×C4—942no—
1226C22×C4—942no—
1227C22×C4—942no—
1228C22×C4—1881no—
1229C22×C4—1881no—
1230C22×C4—1881no—
1231C22×C4—1881no—
1232C22×C4—1881no—
1233C22×C4—1881no—
1234C22×C4—1881no—
1235C22×C4—1881no—
1236C22×C4—1881no—
1237C22×C4—1881no—
1238C22×C4—1881no—
1239C22×C4—1881no—
1240C22×C4—1881no—
1241C22×C4—18816no—
1242C22×C4—1881no—
1243C22×C4#1062535414yes—
1244C22×C4C23×D4711yescharacteristic
1245C22×C4C23×D4711yescharacteristic
1246C22×C4C23×D4711yescharacteristic
1247C22×C4C23×D4711yescharacteristic
1248C22×C4C23×D4711yescharacteristic
1249C22×C4C23×D4711yescharacteristic
1250C22×C4C23×D4711yescharacteristic
1251C22×C4C23×D4711yescharacteristic
1252C22×C4C23×D4711yescharacteristic
1253C22×C4C23×D4711yescharacteristic
1254C22×C4C23×D4711yescharacteristic
1255C22×C4C23×D4711yescharacteristic
1256C22×C4C23×D4711yescharacteristic
1257C22×C4C23×D4711yescharacteristic
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—942no—
1273C4⋊C4—942no—
1274C4⋊C4—942no—
1275C4⋊C4—942no—
1276C4⋊C4—942no—
1277C4⋊C4—942no—
1278C4⋊C4—1881no—
1279C4⋊C4—1881no—
1280C4⋊C4—1881no—
1281C4⋊C4—1881no—
1282C4⋊C4—1881no—
1283C4⋊C4—1881no—
1284C4⋊C4—1881no—
1285C4⋊C4—1881no—
1286C4⋊C4—1881no—
1287C4⋊C4—1881no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—942no—
1295C22⋊C4—942no—
1296C22⋊C4—942no—
1297C22⋊C4—942no—
1298C22⋊C4—942no—
1299C22⋊C4—942no—
1300C22⋊C4—942no—
1301C22⋊C4—942no—
1302C22⋊C4—942no—
1303C22⋊C4—942no—
1304C22⋊C4—942no—
1305C22⋊C4—942no—
1306C22⋊C4—942no—
1307C22⋊C4—942no—
1308C22⋊C4—942no—
1309C22⋊C4—942no—
1310C22⋊C4—1881no—
1311C22⋊C4—1881no—
1312C22⋊C4—1881no—
1313C22⋊C4—1881no—
1314C22⋊C4—1881no—
1315C22⋊C4—1881no—
1316C22⋊C4—1881no—
1317C22⋊C4—1881no—
1318C22⋊C4—1881no—
1319C22⋊C4—1881no—
1320C22⋊C4—1881no—
1321C22⋊C4—1881no—
1322C22⋊C4—1881no—
1323C22⋊C4—1881no—
1324C22⋊C4—1881no—
1325C22⋊C4—1881no—
1326C22⋊C4—1881no—
1327C22⋊C4—1881no—
1328C22⋊C4—1881no—
1329C22⋊C4—1881no—
1330C22⋊C4—1881no—
1331C22⋊C4—1881no—
1332C22⋊C4—1881no—
1333C22⋊C4—1881no—
1334C22⋊C4—1881no—
1335C22⋊C4—1881no—
1336C22⋊C4—1881no—
1337C22⋊C4—1881no—
1338C22⋊C4—1881no—
1339C22⋊C4—1881no—
1340C22⋊C4—1881no—
1341C22⋊C4—1881no—
1342C42—41no—
1343C42—41no—
1344C42—1881no—
1345C42—1881no—
1346C42—1881no—
1347C42—1881no—
1348C42—1881no—
1349C42—1881no—
1350C42—1881no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—472no—
1358C23—472no—
1359C23—941no—
1360C23—941no—
1361C23—941no—
1362C23—941no—
1363C23—941no—
1364C23—941no—
1365C23—941no—
1366C23—941no—
1367C23—941no—
1368C23—941no—
1369C23—941no—
1370C23—941no—
1371C23—941no—
1372C23—941no—
1373C23—941no—
1374C23—941no—
1375C23—941no—
1376C23—941no—
1377C23—941no—
1378C23—941no—
1379C23—941no—
1380C23—941no—
1381C23—941no—
1382C23—941no—
1383C23—941no—
1384C23—941no—
1385C23—941no—
1386C23—941no—
1387C23—941no—
1388C23—941no—
1389C23—941no—
1390C23—941no—
1391C23—941no—
1392C23—1884no—
1393C23—1884no—
1394C23—1884no—
1395C23—1884no—
1396C23—1884no—
1397C23—1884no—
1398C23—1884no—
1399C23C2×#1062535412yes—
1400C23C24×D4711yescharacteristic
1401D4—3762no—
1402D4—3762no—
1403D4—3762no—
1404D4—3762no—
1405D4—3762no—
1406D4—3762no—
1407D4—3762no—
1408D4—3762no—
1409D4—3762no—
1410D4—3762no—
1411D4—3762no—
1412D4—3762no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—44no—
1454C2×C4—472no—
1455C2×C4—948no—
1456C2×C4—941no—
1457C2×C4—941no—
1458C2×C4—941no—
1459C2×C4—941no—
1460C2×C4—941no—
1461C2×C4—941no—
1462C2×C4—941no—
1463C2×C4—941no—
1464C2×C4—941no—
1465C2×C4—941no—
1466C2×C4—941no—
1467C2×C4—941no—
1468C2×C4—941no—
1469C2×C4—941no—
1470C2×C4—941no—
1471C2×C4—941no—
1472C2×C4—941no—
1473C2×C4—941no—
1474C2×C4—941no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—941no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—3762no—
1489C2×C4—3762no—
1490C2×C4—3762no—
1491C2×C4—1884no—
1492C2×C4—1884no—
1493C2×C4—1884no—
1494C2×C4—1884no—
1495C2×C4C2×#1062535412yes—
1496C2×C4C2×#1062535412yes—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—942no—
1505C22—942no—
1506C22—942no—
1507C22—942no—
1508C22—942no—
1509C22—942no—
1510C22—18816no—
1511C22—1881no—
1512C22—1881no—
1513C22—1881no—
1514C22—1881no—
1515C22—1881no—
1516C22—1881no—
1517C22—1881no—
1518C22—1881no—
1519C22—1881no—
1520C22—1881no—
1521C22—1881no—
1522C22—1881no—
1523C22—1881no—
1524C22—1881no—
1525C22—1881no—
1526C22—1881no—
1527C22—1881no—
1528C22—1881no—
1529C22—1881no—
1530C22—1881no—
1531C22—1881no—
1532C22—1881no—
1533C22—1881no—
1534C22—1881no—
1535C22—1881no—
1536C22—1881no—
1537C22—1881no—
1538C22—1881no—
1539C22—1881no—
1540C22C22×#1062535411yescharacteristic
1541C22H(5,𝔽2)×D4711yescharacteristic
1542C22H(5,𝔽2)×D4711yescharacteristic
1543C22H(5,𝔽2)×D4711yescharacteristic
1544C22#1568995911yescharacteristic
1545C22#1568995911yescharacteristic
1546C22#1568996011yescharacteristic
1547C4—22no—
1548C4—22no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—942no—
1562C4—1881no—
1563C4—1881no—
1564C4—1881no—
1565C4—1881no—
1566C4—1881no—
1567C4—1881no—
1568C4—1881no—
1569C4—1881no—
1570C4—1881no—
1571C4—1881no—
1572C2—42no—
1573C2—3761no—
1574C2—3761no—
1575C2—3761no—
1576C2—1882no—
1577C2—1882no—
1578C2#2025678011yescharacteristic
1579C2#2025707811yescharacteristic
1580C2#2025712611yescharacteristic
1581C2#2025756311yescharacteristic
1582C2#2025757111yescharacteristic
1583C2#2025764611yescharacteristic
1584C2#2025769511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2667C2
hypercenter#2667D47
hypocenterC47#36734
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2667

Complements

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

NH ≅ G/Ntype
1. #20251681C2semidirect
2. #20251671C2semidirect
3. #20250578C2semidirect
4. #20250571C2semidirect
5. #20250541C2semidirect
6. #20250533C2semidirect
7. #20250509C2semidirect
8. #20250297C2semidirect
9. #20250075C2semidirect
10. #20250060C2semidirect
11. #20250000C2semidirect
12. #20249974C2semidirect
13. #20249876C2semidirect
14. #20249786C2semidirect
15. #20249772C2semidirect
16. #20249718C2semidirect
17. #20249631C2semidirect
18. #20249597C2semidirect
19. #20249514C2semidirect
20. #20248916C2semidirect
21. #20248699C2semidirect
22. #20248524C2semidirect
23. #20248524C2semidirect
24. #20247626C2semidirect
25. #20247581C2semidirect
26. #20247506C2semidirect
27. #20247491C2semidirect
28. #20246174C2semidirect
29. #20246150C2semidirect
30. #20245769C2semidirect
31. C47×#2667C2semidirect
35. C2×#13094019C22semidirect
37. C2×#13094009C22semidirect
51. C47⋊#401C22semidirect
52. #15689062C22semidirect
53. #15689062C22semidirect
54. #15689061C22semidirect
55. #15689061C22semidirect
57. #15689058C22semidirect
58. #15689058C22semidirect
59. #15689056C22semidirect
60. #15689056C22semidirect
61. #15689055C22semidirect
63. #15689052C22semidirect
64. #15689050C22semidirect
65. #15689050C22semidirect
69. #15689045C22semidirect
70. #15689045C22semidirect
73. #15689041C22semidirect
74. #15689041C22semidirect
83. #15689040C22semidirect
84. #15689040C22semidirect
88. #15689033C22semidirect
91. #15689025C22semidirect
92. #15689025C22semidirect
99. #15689019C22semidirect
100. #15689018C22semidirect
103. #15689014C22semidirect
104. #15689014C22semidirect
108. #15689013C22semidirect
109. #15689013C22semidirect
110. #15689013C22semidirect
111. #15689013C22semidirect
113. #15689012C22semidirect
114. #15689012C22semidirect
115. #15689012C22semidirect
116. #15689012C22semidirect
118. #15689010C22semidirect
119. #15689010C22semidirect
120. #15689008C22semidirect
121. #15689008C22semidirect
122. #15689005C22semidirect
123. #15689004C22semidirect
124. #15689004C22semidirect
135. #15689001C22semidirect
136. #15689001C22semidirect
146. #15688994C22semidirect
147. #15688994C22semidirect
148. #15688994C22semidirect
149. #15688994C22semidirect
150. #15688994C22semidirect
151. #15688988C22semidirect
154. #15688985C22semidirect
165. #15688974C22semidirect
169. #15688970C22semidirect
170. #15688970C22semidirect
171. #15688970C22semidirect
174. C47×#398C22semidirect
175. C47×#398C22semidirect
176. C47×#398C22semidirect
177. C47×#398C22semidirect
180. C47×#389C22semidirect
181. C47×#389C22semidirect
182. C47×#387C22semidirect
183. C47×#387C22semidirect
798. #2667D47semidirect
856. #398C2×D47semidirect
857. #398C2×D47semidirect
858. #398C2×D47semidirect
859. #398C2×D47semidirect
901. #389C2×D47semidirect
902. #389C2×D47semidirect
927. #387C2×D47semidirect
928. #387C2×D47semidirect
979. C47#36734semidirect

Maximal subgroups

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

subgroupindex
#202516812
#202516712
#202505782
#202505712
#202505412
#202505332
#202505092
#202502972
#202500752
#202500602
#202500002
#202499742
#202498762
#202497862
#202497722
#202497182
#202496312
#202495972
#202495142
#202489162
#202486992
#202485242
#202476262
#202475812
#202475062
#202474912
#202461742
#202461502
#202457692
C47×#26672
#3673447