Finite Group Databasebeta

← #26425066

Subgroups — #26425066

Order 12032.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251679C211yesmaximal, characteristic, complemented
2#20251669C211yesmaximal, characteristic, complemented
3#20251332C211yesmaximal, characteristic, complemented
4#20251242C211yesmaximal, characteristic, complemented
5#20251129C211yesmaximal, characteristic, complemented
6#20251085C211yesmaximal, characteristic, complemented
7#20251032C211yesmaximal, characteristic, complemented
8#20251002C211yesmaximal, characteristic, complemented
9#20250642C211yesmaximal, characteristic, complemented
10#20250627C211yesmaximal, characteristic, complemented
11#20250558C211yesmaximal, characteristic, complemented
12#20250181C211yesmaximal, characteristic, complemented
13#20250127C211yesmaximal, characteristic, complemented
14#20250103C211yesmaximal, characteristic, complemented
15#20250103C211yesmaximal, characteristic, complemented
16#20249920C211yesmaximal, characteristic, complemented
17#20249791C211yesmaximal, characteristic, complemented
18#20249751C211yesmaximal, characteristic, complemented
19#20249343C211yesmaximal, characteristic, complemented
20#20249318C211yesmaximal, characteristic, complemented
21#20247651C211yesmaximal, characteristic, complemented
22#20247516C211yesmaximal, characteristic, complemented
23#20247125C211yesmaximal, characteristic, complemented
24#20247058C211yesmaximal, characteristic, complemented
25#20246992C211yesmaximal, characteristic, complemented
26#20246926C211yesmaximal, characteristic, complemented
27#20246767C211yesmaximal, characteristic, complemented
28#20246703C211yesmaximal, characteristic, complemented
29#20246057C211yesmaximal, characteristic, complemented
30C2×#15688994C211yesmaximal, characteristic, complemented
31C47×#2311C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C2×#13094017C2211yescharacteristic, complemented
34C2×#13094010C2211yescharacteristic
35C2×#13094007C2211yescharacteristic
36C2×#13094006C2211yescharacteristic
37C2×#13094006C2211yescharacteristic
38C2×#13094006C2211yescharacteristic, complemented
39C2×#13094001C2211yescharacteristic
40C2×#13093997C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093997C2211yescharacteristic
43C2×#13093996C2211yescharacteristic
44C2×#13093996C2211yescharacteristic
45C2×#13093994C2211yescharacteristic
46C2×#13093992C2211yescharacteristic
47C2×#13093992C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic
49C22×Dic47⋊C4C2211yescharacteristic
50C22×(C2×D47)⋊C4C2211yescharacteristic
51C22×(C2×D47)⋊C4C2211yescharacteristic
52C47⋊#401C2211yescharacteristic, complemented
53#15689065C2211yescharacteristic, complemented
54#15689065C2211yescharacteristic, complemented
55#15689065C2211yescharacteristic, complemented
56#15689064C2211yescharacteristic, complemented
57#15689064C2211yescharacteristic, complemented
58#15689064C2211yescharacteristic, complemented
59#15689063C2211yescharacteristic, complemented
60#15689062C2211yescharacteristic, complemented
61#15689059C2211yescharacteristic, complemented
62#15689057C2211yescharacteristic, complemented
63#15689056C2211yescharacteristic, complemented
64#15689056C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic
66#15689052C2211yescharacteristic, complemented
67#15689052C2211yescharacteristic, complemented
68#15689051C2211yescharacteristic, complemented
69#15689051C2211yescharacteristic, complemented
70#15689051C2211yescharacteristic, complemented
71#15689051C2211yescharacteristic, complemented
72#15689048C2211yescharacteristic, complemented
73#15689047C2211yescharacteristic
74#15689046C2211yescharacteristic, complemented
75#15689046C2211yescharacteristic, complemented
76#15689045C2211yescharacteristic
77#15689045C2211yescharacteristic
78#15689043C2211yescharacteristic, complemented
79#15689042C2211yescharacteristic, complemented
80#15689041C2211yescharacteristic
81#15689040C2211yescharacteristic
82#15689040C2211yescharacteristic
83#15689039C2211yescharacteristic
84#15689039C2211yescharacteristic, complemented
85#15689038C2211yescharacteristic
86#15689038C2211yescharacteristic
87#15689038C2211yescharacteristic, complemented
88#15689038C2211yescharacteristic, complemented
89#15689037C2211yescharacteristic, complemented
90#15689036C2211yescharacteristic
91#15689036C2211yescharacteristic, complemented
92#15689035C2211yescharacteristic, complemented
93#15689034C2211yescharacteristic
94#15689034C2211yescharacteristic
95#15689034C2211yescharacteristic, complemented
96#15689032C2211yescharacteristic
97#15689031C2211yescharacteristic
98#15689031C2211yescharacteristic
99#15689031C2211yescharacteristic, complemented
100#15689029C2211yescharacteristic, complemented
101#15689025C2211yescharacteristic
102#15689025C2211yescharacteristic
103#15689023C2211yescharacteristic
104#15689023C2211yescharacteristic
105#15689021C2211yescharacteristic, complemented
106#15689018C2211yescharacteristic, complemented
107#15689018C2211yescharacteristic, complemented
108#15689017C2211yescharacteristic, complemented
109#15689017C2211yescharacteristic, complemented
110#15689015C2211yescharacteristic
111#15689014C2211yescharacteristic
112#15689014C2211yescharacteristic
113#15689013C2211yescharacteristic, complemented
114#15689013C2211yescharacteristic, complemented
115#15689012C2211yescharacteristic
116#15689012C2211yescharacteristic
117#15689008C2211yescharacteristic, complemented
118#15689007C2211yescharacteristic, complemented
119#15689007C2211yescharacteristic, complemented
120#15689005C2211yescharacteristic, complemented
121#15689005C2211yescharacteristic, complemented
122#15689004C2211yescharacteristic, complemented
123#15689004C2211yescharacteristic, complemented
124#15689003C2211yescharacteristic
125#15689003C2211yescharacteristic
126#15689003C2211yescharacteristic
127#15689003C2211yescharacteristic
128#15689002C2211yescharacteristic
129#15689002C2211yescharacteristic
130#15689002C2211yescharacteristic
131#15689002C2211yescharacteristic
132#15689002C2211yescharacteristic
133#15689002C2211yescharacteristic, complemented
134#15689002C2211yescharacteristic, complemented
135#15689001C2211yescharacteristic
136#15689001C2211yescharacteristic
137#15689001C2211yescharacteristic
138#15689000C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688998C2211yescharacteristic
144#15688998C2211yescharacteristic
145#15688997C2211yescharacteristic
146#15688997C2211yescharacteristic
147#15688997C2211yescharacteristic, complemented
148#15688996C2211yescharacteristic
149#15688996C2211yescharacteristic, complemented
150#15688996C2211yescharacteristic, complemented
151#15688995C2211yescharacteristic
152#15688994C2211yescharacteristic
153#15688994C2211yescharacteristic
154#15688994C2211yescharacteristic
155#15688994C2211yescharacteristic
156#15688994C2211yescharacteristic
157#15688994C2211yescharacteristic
158#15688994C2211yescharacteristic
159#15688994C2211yescharacteristic
160#15688994C2211yescharacteristic, complemented
161#15688994C2211yescharacteristic, complemented
162#15688986C2211yescharacteristic
163#15688985C2211yescharacteristic
164#15688985C2211yescharacteristic
165#15688982C2211yescharacteristic
166#15688982C2211yescharacteristic
167#15688981C2211yescharacteristic
168#15688978C2211yescharacteristic
169C4×C22⋊Dic47C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C22×#41×C47C2211yescharacteristic
173C2×#117×C47C2211yescharacteristic
174C22×C4⋊C4×C47C2211yescharacteristic
175C47×#391C2211yescharacteristic, complemented
176C47×#391C2211yescharacteristic, complemented
177C47×#390C2211yescharacteristic, complemented
178C47×#390C2211yescharacteristic, complemented
179C47×#386C2211yescharacteristic
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#380C2211yescharacteristic, complemented
184C47×#380C2211yescharacteristic, complemented
185C47×#380C2211yescharacteristic, complemented
186C47×#380C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C22×C4×D47—42no—
202C22×C4×D47—42no—
203C22×C4×D47—42no—
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209#13094017—42no—
210#13094010—42no—
211#13094007—24no—
212#13094006—42no—
213#13094006—42no—
214#13094006—42no—
215#13094001—42no—
216#13093997—42no—
217#13093997—42no—
218#13093997—42no—
219#13093996—42no—
220#13093996—42no—
221#13093994—42no—
222#13093992—42no—
223#13093992—42no—
224C4×C22⋊D47—42no—
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×Dic47⋊C4—42no—
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
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×(C2×D47)⋊C4—24no—
262C2×(C2×D47)⋊C4—42no—
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×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
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
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C2×#41×C47—24no—
330C2×#41×C47—42no—
331C2×#41×C47—42no—
332C22×Q8×C47C2311yescharacteristic
333C22×D4×C47C2311yescharacteristic
334C22×D4×C47C2311yescharacteristic
335C22×D4×C47C2311yescharacteristic
336C23×C4×C47C2311yescharacteristic
337C23×C4×C47C2311yescharacteristic
338C23×C4×C47C2311yescharacteristic
339C23×C4×C47C2311yescharacteristic
340C23×C4×C47C2311yescharacteristic
341#117×C47—42no—
342C2×C4⋊C4×C47—42no—
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47C2411yescharacteristic
370C24×C47C2411yescharacteristic
371C24×C47C2411yescharacteristic
372C23×D47—22no—
373C23×D47—22no—
374C23×D47—22no—
375C23×D47—22no—
376C23×D47—22no—
377C23×D47—41no—
378C23×D47—41no—
379C23×D47C2411yescharacteristic
380C23×D47C2411yescharacteristic
381C23×D47C2411yescharacteristic
382#41×C47—416no—
383C2×Q8×C47—22no—
384C2×Q8×C47—41no—
385C2×Q8×C47—41no—
386C2×D4×C47—22no—
387C2×D4×C47—22no—
388C2×D4×C47—22no—
389C2×D4×C47—22no—
390C2×D4×C47—22no—
391C2×D4×C47—22no—
392C2×D4×C47—22no—
393C2×D4×C47—41no—
394C2×D4×C47—41no—
395C22×C4×C47—22no—
396C22×C4×C47—22no—
397C22×C4×C47—22no—
398C22×C4×C47—22no—
399C22×C4×C47—22no—
400C22×C4×C47—22no—
401C22×C4×C47—41no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47—41no—
407C22×C4×C47—41no—
408C22×C4×C47—41no—
409C22×C4×C47#4114yes—
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C2×C22⋊D47—22no—
423C2×C22⋊D47—22no—
424C2×C22⋊D47—22no—
425C2×C22⋊D47—22no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—22no—
428C2×C22⋊D47—22no—
429C2×C22⋊D47—22no—
430C2×C22⋊D47—41no—
431C2×C22⋊D47—41no—
432C2×C22⋊D47—41no—
433C2×C22⋊D47—41no—
434C2×C22⋊D47—41no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47—41no—
439C2×C22⋊D47—41no—
440C2×C22⋊D47—41no—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C22×Dic47—22no—
444C22×Dic47—22no—
445C22×Dic47—22no—
446C22×Dic47—22no—
447C22×Dic47—41no—
448C22×Dic47—41no—
449C22×Dic47—41no—
450C22×Dic47—41no—
451C22×Dic47—41no—
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C2×D188—22no—
466C2×D188—22no—
467C2×D188—41no—
468C2×D188—41no—
469C2×D188—41no—
470C2×D188—41no—
471C2×C4×D47—22no—
472C2×C4×D47—22no—
473C2×C4×D47—22no—
474C2×C4×D47—22no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47—41no—
483C2×C4×D47—416no—
484C2×C4×D47—41no—
485C2×C4×D47—41no—
486C2×C4×D47—41no—
487C2×Dic94—41no—
488C2×Dic94—41no—
489C2×Dic94—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C4⋊C4×C47—41no—
493C4⋊C4×C47—41no—
494C4⋊C4×C47—41no—
495C4⋊C4×C47—41no—
496C22⋊C4×C47—22no—
497C22⋊C4×C47—22no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47—41no—
501C22⋊C4×C47—41no—
502C22⋊C4×C47—41no—
503C22⋊C4×C47—41no—
504C22⋊C4×C47—41no—
505C22⋊C4×C47—41no—
506C42×C47—41no—
507C42×C47—41no—
508C22⋊Dic47—22no—
509C22⋊Dic47—22no—
510C22⋊Dic47—22no—
511C22⋊Dic47—22no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47—41no—
515C22⋊Dic47—41no—
516C22⋊Dic47—41no—
517C22⋊Dic47—41no—
518C22⋊Dic47—41no—
519C22⋊Dic47—41no—
520C22⋊Dic47—41no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
530(C2×D47)⋊C4—22no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4—41no—
537(C2×D47)⋊C4—41no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545(C2×D47)⋊C4—41no—
546(C2×D47)⋊C4—41no—
547(C2×D47)⋊C4—41no—
548C4⋊Dic47—22no—
549C4⋊Dic47—41no—
550C4⋊Dic47—41no—
551C4⋊Dic47—41no—
552C4⋊Dic47—41no—
553Dic47⋊C4—22no—
554Dic47⋊C4—22no—
555Dic47⋊C4—22no—
556Dic47⋊C4—22no—
557Dic47⋊C4—22no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4—41no—
562Dic47⋊C4—41no—
563Dic47⋊C4—41no—
564Dic47⋊C4—41no—
565Dic47⋊C4—41no—
566Dic47⋊C4—41no—
567Dic47⋊C4—41no—
568Dic47⋊C4—41no—
569Dic47⋊C4—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47C2×#4112yes—
592C23×C47H(5,𝔽2)12yes—
593C23×C47H(5,𝔽2)12yes—
594C23×C47C2511yescharacteristic
595C22×D47—28no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—21no—
600C22×D47—21no—
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—44no—
616C22×D47—44no—
617C22×D47—44no—
618C22×D47—44no—
619C22×D47—44no—
620C22×D47—44no—
621C22×D47H(5,𝔽2)12yes—
622C22×D472−1+412yes—
623Q8×C47—44no—
624D4×C47—44no—
625D4×C47—44no—
626D4×C47—44no—
627C2×C4×C47—28no—
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—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—44no—
663C2×C4×C47—44no—
664C2×C4×C47—44no—
665C2×C4×C47—82no—
666C2×C4×C47C2×#4112yes—
667C2×C4×C47C2×#4112yes—
668C22⋊D47—44no—
669C22⋊D47—82no—
670C22⋊D47—82no—
671C22⋊D47—82no—
672C22⋊D47—82no—
673C22⋊D47—82no—
674C22⋊D47—82no—
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—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—44no—
714C2×Dic47—44no—
715C2×Dic47—82no—
716C2×Dic47H(5,𝔽2)12yes—
717D188—82no—
718D188—82no—
719C4×D47—44no—
720C4×D47—44no—
721C4×D47—44no—
722C4×D47—44no—
723C4×D47—82no—
724Dic94—82no—
725#36791—471nomaximal, Sylow
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47#53814yes—
747C22×C47C22×#4111yescharacteristic
748C22×C47C2×H(5,𝔽2)11yescharacteristic
749C22×C47C2×H(5,𝔽2)11yescharacteristic
750C22×C47C2×H(5,𝔽2)11yescharacteristic
751C22×C47C2×H(5,𝔽2)11yescharacteristic
752C22×C47C2×2−1+411yescharacteristic
753C22×C47#58511yescharacteristic
754C2×D47—22no—
755C2×D47—22no—
756C2×D47—22no—
757C2×D47—22no—
758C2×D47—22no—
759C2×D47—22no—
760C2×D47—416no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—41no—
776C4×C47—22no—
777C4×C47—22no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788Dic47—22no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801#2849—471no—
802#2847—471no—
803#2804—471no—
804#2797—471no—
805#2788—471no—
806#2784—471no—
807#2780—471no—
808#2778—471no—
809#2751—471no—
810#2750—471no—
811#2745—471no—
812#2714—471no—
813#2710—471no—
814#2708—471no—
815#2708—471no—
816#2695—471no—
817#2686—471no—
818#2682—471no—
819#2643—471no—
820#2639—471no—
821#2481—471no—
822#2472—471no—
823#2443—471no—
824#2438—471no—
825#2430—471no—
826#2424—471no—
827#2411—471no—
828#2404—471no—
829#2322—471no—
830#2311D4711yescharacteristic, complemented
831C2×#385—471no—
832C2×C47—24no—
833C2×C47—81no—
834C2×C47—81no—
835C2×C47C2×#53811yescharacteristic
836C2×C47#349211yescharacteristic
837C2×C47#350611yescharacteristic
838C2×C47#353211yescharacteristic
839C2×C47#353411yescharacteristic
840C2×C47#353511yescharacteristic
841C2×C47#353611yescharacteristic
842D47—42no—
843D47—42no—
844D47—81no—
845C22×#41C2×D4711yescharacteristic
846C24×C4—471no—
847C2×#126—471no—
848C2×#124—471no—
849C2×#123—471no—
850C2×#123—471no—
851C2×#123—471no—
852C2×#123—471no—
853C2×C22⋊Q8—471no—
854C2×#121—471no—
855C2×#121—471no—
856C2×#121—471no—
857C2×#121—471no—
858C2×#121—471no—
859C2×#120—471no—
860C2×#120—471no—
861C2×#120—471no—
862C2×C4×D4—471no—
863C2×#117C2×D4711yescharacteristic
864C22×C4⋊C4—471no—
865C22×C4⋊C4C2×D4711yescharacteristic
866C22×C22⋊C4—471no—
867C22×C22⋊C4—471no—
868#401—471no—
869#400—471no—
870#400—471no—
871#400—471no—
872#400—471no—
873#400—471no—
874#400—471no—
875#400—471no—
876#400—471no—
877#399—471no—
878#398—471no—
879#398—471no—
880#398—471no—
881#397—471no—
882#397—471no—
883#397—471no—
884#397—471no—
885#397—471no—
886#397—471no—
887#397—471no—
888#397—471no—
889#396—471no—
890#396—471no—
891#396—471no—
892#396—471no—
893#396—471no—
894#395—471no—
895#395—471no—
896#394—471no—
897#394—471no—
898#394—471no—
899#394—471no—
900#394—471no—
901#394—471no—
902#394—471no—
903#394—471no—
904#394—471no—
905#394—471no—
906#393—471no—
907#393—471no—
908#393—471no—
909#393—471no—
910#393—471no—
911#393—471no—
912#392—471no—
913#392—471no—
914#392—471no—
915#392—471no—
916#391—471no—
917#391C2×D4711yescharacteristic, complemented
918#391C2×D4711yescharacteristic, complemented
919#390—471no—
920#390—471no—
921#390—471no—
922#390—471no—
923#390C2×D4711yescharacteristic, complemented
924#390C2×D4711yescharacteristic, complemented
925#389—471no—
926#389—471no—
927#389—471no—
928#388—471no—
929#388—471no—
930#388—471no—
931#388—471no—
932#388—471no—
933#388—471no—
934#388—471no—
935#388—471no—
936#388—471no—
937#387—471no—
938#387—471no—
939#387—471no—
940#387—471no—
941#387—471no—
942#387—471no—
943#387—471no—
944#386—471no—
945#386—471no—
946#386—471no—
947#386—471no—
948#386—471no—
949#386—471no—
950#386—471no—
951#386—471no—
952#386—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386C2×D4711yescharacteristic
964#386C2×D4711yescharacteristic
965#386C2×D4711yescharacteristic
966#386C2×D4711yescharacteristic
967#385—471no—
968#385—471no—
969#385—471no—
970#385—471no—
971#385—471no—
972#385—471no—
973#385—471no—
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385—471no—
981#385—471no—
982#385—471no—
983#385—471no—
984#385—471no—
985#385—471no—
986#381—471no—
987#381—471no—
988#381—471no—
989#380—471no—
990#380—471no—
991#380—471no—
992#380C2×D4711yescharacteristic, complemented
993#380C2×D4711yescharacteristic, complemented
994#380C2×D4711yescharacteristic, complemented
995#380C2×D4711yescharacteristic, complemented
996#379—471no—
997C4×C22⋊C4—471no—
998C2×#95—471no—
999C2×#95—471no—
1000C47#3679111yescharacteristic, complemented, Sylow
1001C25—471no—
1002C2×#41—24no—
1003C2×#41—42no—
1004C2×#41—42no—
1005C22×Q8—471no—
1006C22×Q8C22×D4711yescharacteristic
1007C22×D4—471no—
1008C22×D4—471no—
1009C22×D4—471no—
1010C22×D4—471no—
1011C22×D4—471no—
1012C22×D4—471no—
1013C22×D4—471no—
1014C22×D4—471no—
1015C22×D4—471no—
1016C22×D4C22×D4711yescharacteristic
1017C22×D4C22×D4711yescharacteristic
1018C22×D4C22×D4711yescharacteristic
1019C23×C4—471no—
1020C23×C4—471no—
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4—1882no—
1028C23×C4—1882no—
1029C23×C4—1882no—
1030C23×C4C22×D4711yescharacteristic
1031C23×C4C22×D4711yescharacteristic
1032C23×C4C22×D4711yescharacteristic
1033C23×C4C22×D4711yescharacteristic
1034C23×C4C22×D4711yescharacteristic
1035#126—1882no—
1036#124—1882no—
1037#123—944no—
1038#123—1882no—
1039#123—1882no—
1040#123—1882no—
1041C22⋊Q8—1882no—
1042#121—1882no—
1043#121—1882no—
1044#121—1882no—
1045#121—1882no—
1046#121—1882no—
1047#120—1882no—
1048#120—1882no—
1049#120—1882no—
1050C4×D4—1882no—
1051#117—42no—
1052C2×C4⋊C4—42no—
1053C2×C4⋊C4—471no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—1882no—
1076C2×C4⋊C4C22×D4711yescharacteristic
1077C2×C4⋊C4C22×D4711yescharacteristic
1078C2×C4⋊C4C22×D4711yescharacteristic
1079C2×C4⋊C4C22×D4711yescharacteristic
1080C2×C4⋊C4C22×D4711yescharacteristic
1081C2×C4⋊C4C22×D4711yescharacteristic
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⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—944no—
1123C2×C22⋊C4—1882no—
1124C2×C22⋊C4C22×D4711yescharacteristic
1125C2×C22⋊C4C22×D4711yescharacteristic
1126C2×C22⋊C4C22×D4711yescharacteristic
1127C2×C22⋊C4C22×D4711yescharacteristic
1128C2×C22⋊C4C22×D4711yescharacteristic
1129C2×C22⋊C4C22×D4711yescharacteristic
1130C2×C22⋊C4C22×D4711yescharacteristic
1131C2×C22⋊C4C22×D4711yescharacteristic
1132C2×C22⋊C4C22×D4711yescharacteristic
1133C2×C22⋊C4C22×D4711yescharacteristic
1134C2×C42—471no—
1135C2×C42—471no—
1136C2×C42—471no—
1137C2×C42C22×D4711yescharacteristic
1138C2×C42C22×D4711yescharacteristic
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180#95C22×D4711yescharacteristic
1181#95C22×D4711yescharacteristic
1182#95C22×D4711yescharacteristic
1183C24—471no—
1184C24—471no—
1185C24—471no—
1186C24—942no—
1187C24—942no—
1188C24—942no—
1189C24—942no—
1190C24—942no—
1191C24—1881no—
1192C24—1881no—
1193C24C23×D4711yescharacteristic
1194C24C23×D4711yescharacteristic
1195C24C23×D4711yescharacteristic
1196#41—416no—
1197C2×Q8—22no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×Q8—1881no—
1201C2×Q8—1881no—
1202C2×Q8—1881no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—942no—
1213C2×D4—942no—
1214C2×D4—942no—
1215C2×D4—942no—
1216C2×D4—942no—
1217C2×D4—942no—
1218C2×D4—942no—
1219C2×D4—942no—
1220C2×D4—942no—
1221C2×D4—942no—
1222C2×D4—1881no—
1223C2×D4—1881no—
1224C2×D4—1881no—
1225C2×D4—1881no—
1226C2×D4—1881no—
1227C2×D4—1881no—
1228C2×D4—1881no—
1229C2×D4—1881no—
1230C2×D4—1881no—
1231C2×D4—1881no—
1232C2×D4—1881no—
1233C2×D4—1881no—
1234C2×D4—1881no—
1235C2×D4—1881no—
1236C2×D4—1881no—
1237C2×D4—1881no—
1238C2×D4—1881no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—471no—
1262C22×C4—471no—
1263C22×C4—471no—
1264C22×C4—471no—
1265C22×C4—471no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
1270C22×C4—942no—
1271C22×C4—942no—
1272C22×C4—942no—
1273C22×C4—942no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4—1881no—
1280C22×C4—1881no—
1281C22×C4—1881no—
1282C22×C4—1881no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4—18816no—
1286C22×C4—1881no—
1287C22×C4—1881no—
1288C22×C4—1881no—
1289C22×C4—1881no—
1290C22×C4—1881no—
1291C22×C4#1062535014yes—
1292C22×C4C23×D4711yescharacteristic
1293C22×C4C23×D4711yescharacteristic
1294C22×C4C23×D4711yescharacteristic
1295C22×C4C23×D4711yescharacteristic
1296C22×C4C23×D4711yescharacteristic
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C22×C4C23×D4711yescharacteristic
1300C22×C4C23×D4711yescharacteristic
1301C22×C4C23×D4711yescharacteristic
1302C22×C4C23×D4711yescharacteristic
1303C22×C4C23×D4711yescharacteristic
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—942no—
1311C4⋊C4—942no—
1312C4⋊C4—942no—
1313C4⋊C4—942no—
1314C4⋊C4—942no—
1315C4⋊C4—942no—
1316C4⋊C4—1881no—
1317C4⋊C4—1881no—
1318C4⋊C4—1881no—
1319C4⋊C4—1881no—
1320C4⋊C4—1881no—
1321C4⋊C4—1881no—
1322C4⋊C4—1881no—
1323C4⋊C4—1881no—
1324C4⋊C4—1881no—
1325C4⋊C4—1881no—
1326C4⋊C4—1881no—
1327C4⋊C4—1881no—
1328C4⋊C4—1881no—
1329C4⋊C4—1881no—
1330C4⋊C4—1881no—
1331C4⋊C4—1881no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—942no—
1343C22⋊C4—942no—
1344C22⋊C4—942no—
1345C22⋊C4—942no—
1346C22⋊C4—942no—
1347C22⋊C4—942no—
1348C22⋊C4—942no—
1349C22⋊C4—942no—
1350C22⋊C4—942no—
1351C22⋊C4—942no—
1352C22⋊C4—942no—
1353C22⋊C4—942no—
1354C22⋊C4—942no—
1355C22⋊C4—942no—
1356C22⋊C4—1881no—
1357C22⋊C4—1881no—
1358C22⋊C4—1881no—
1359C22⋊C4—1881no—
1360C22⋊C4—1881no—
1361C22⋊C4—1881no—
1362C22⋊C4—1881no—
1363C22⋊C4—1881no—
1364C22⋊C4—1881no—
1365C22⋊C4—1881no—
1366C22⋊C4—1881no—
1367C22⋊C4—1881no—
1368C22⋊C4—1881no—
1369C22⋊C4—1881no—
1370C22⋊C4—1881no—
1371C22⋊C4—1881no—
1372C22⋊C4—1881no—
1373C22⋊C4—1881no—
1374C22⋊C4—1881no—
1375C22⋊C4—1881no—
1376C22⋊C4—1881no—
1377C22⋊C4—1881no—
1378C22⋊C4—1881no—
1379C22⋊C4—1881no—
1380C22⋊C4—1881no—
1381C22⋊C4—1881no—
1382C42—41no—
1383C42—41no—
1384C42—1881no—
1385C42—1881no—
1386C42—1881no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—472no—
1406C23—472no—
1407C23—948no—
1408C23—941no—
1409C23—941no—
1410C23—941no—
1411C23—941no—
1412C23—941no—
1413C23—941no—
1414C23—941no—
1415C23—941no—
1416C23—941no—
1417C23—941no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—1884no—
1428C23—1884no—
1429C23—1884no—
1430C23—1884no—
1431C23—1884no—
1432C23—1884no—
1433C23C2×#1062535012yes—
1434C23#1309406912yes—
1435C23#1309406912yes—
1436C23C24×D4711yescharacteristic
1437Q8—44no—
1438Q8—3762no—
1439D4—44no—
1440D4—44no—
1441D4—44no—
1442D4—3762no—
1443D4—3762no—
1444D4—3762no—
1445D4—3762no—
1446D4—3762no—
1447D4—3762no—
1448D4—3762no—
1449D4—3762no—
1450D4—1884no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—28no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—82no—
1490C2×C4—472no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—3762no—
1530C2×C4—3762no—
1531C2×C4—1884no—
1532C2×C4—1884no—
1533C2×C4—1884no—
1534C2×C4—1884no—
1535C2×C4—1884no—
1536C2×C4—1884no—
1537C2×C4C2×#1062535012yes—
1538C2×C4C2×#1062535012yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—942no—
1560C22—942no—
1561C22—942no—
1562C22—942no—
1563C22—942no—
1564C22—942no—
1565C22—18816no—
1566C22—1881no—
1567C22—1881no—
1568C22—1881no—
1569C22—1881no—
1570C22—1881no—
1571C22—1881no—
1572C22—1881no—
1573C22—1881no—
1574C22—1881no—
1575C22—1881no—
1576C22—1881no—
1577C22—1881no—
1578C22—1881no—
1579C22—1881no—
1580C22—1881no—
1581C22#1568971114yes—
1582C22C22×#1062535011yescharacteristic
1583C22H(5,𝔽2)×D4711yescharacteristic
1584C22H(5,𝔽2)×D4711yescharacteristic
1585C22C2×#1309406911yescharacteristic
1586C22C2×#1309406911yescharacteristic
1587C222−1+4×D4711yescharacteristic
1588C22#1568996011yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—942no—
1602C4—1881no—
1603C4—1881no—
1604C4—1881no—
1605C4—1881no—
1606C4—1881no—
1607C4—1881no—
1608C4—1881no—
1609C4—1881no—
1610C4—1881no—
1611C4—1881no—
1612C4—1881no—
1613C4—1881no—
1614C2—24no—
1615C2—81no—
1616C2—81no—
1617C2—3761no—
1618C2—1882no—
1619C2—1882no—
1620C2C2×#1568971111yescharacteristic
1621C2#2025709111yescharacteristic
1622C2#2025723311yescharacteristic
1623C2#2025754211yescharacteristic
1624C2#2025756711yescharacteristic
1625C2#2025758711yescharacteristic
1626C2#2025760511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2311C2
hypercenter#2311D47
hypocenterC47#36791
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2311

Complements

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

NH ≅ G/Ntype
1. #20251679C2semidirect
2. #20251669C2semidirect
3. #20251332C2semidirect
4. #20251242C2semidirect
5. #20251129C2semidirect
6. #20251085C2semidirect
7. #20251032C2semidirect
8. #20251002C2semidirect
9. #20250642C2semidirect
10. #20250627C2semidirect
11. #20250558C2semidirect
12. #20250181C2semidirect
13. #20250127C2semidirect
14. #20250103C2semidirect
15. #20250103C2semidirect
16. #20249920C2semidirect
17. #20249791C2semidirect
18. #20249751C2semidirect
19. #20249343C2semidirect
20. #20249318C2semidirect
21. #20247651C2semidirect
22. #20247516C2semidirect
23. #20247125C2semidirect
24. #20247058C2semidirect
25. #20246992C2semidirect
26. #20246926C2semidirect
27. #20246767C2semidirect
28. #20246703C2semidirect
29. #20246057C2semidirect
30. C2×#15688994C2semidirect
31. C47×#2311C2semidirect
33. C2×#13094017C22semidirect
38. C2×#13094006C22semidirect
52. C47⋊#401C22semidirect
53. #15689065C22semidirect
54. #15689065C22semidirect
55. #15689065C22semidirect
56. #15689064C22semidirect
57. #15689064C22semidirect
58. #15689064C22semidirect
59. #15689063C22semidirect
60. #15689062C22semidirect
61. #15689059C22semidirect
62. #15689057C22semidirect
63. #15689056C22semidirect
64. #15689056C22semidirect
66. #15689052C22semidirect
67. #15689052C22semidirect
68. #15689051C22semidirect
69. #15689051C22semidirect
70. #15689051C22semidirect
71. #15689051C22semidirect
72. #15689048C22semidirect
74. #15689046C22semidirect
75. #15689046C22semidirect
78. #15689043C22semidirect
79. #15689042C22semidirect
84. #15689039C22semidirect
87. #15689038C22semidirect
88. #15689038C22semidirect
89. #15689037C22semidirect
91. #15689036C22semidirect
92. #15689035C22semidirect
95. #15689034C22semidirect
99. #15689031C22semidirect
100. #15689029C22semidirect
105. #15689021C22semidirect
106. #15689018C22semidirect
107. #15689018C22semidirect
108. #15689017C22semidirect
109. #15689017C22semidirect
113. #15689013C22semidirect
114. #15689013C22semidirect
117. #15689008C22semidirect
118. #15689007C22semidirect
119. #15689007C22semidirect
120. #15689005C22semidirect
121. #15689005C22semidirect
122. #15689004C22semidirect
123. #15689004C22semidirect
133. #15689002C22semidirect
134. #15689002C22semidirect
147. #15688997C22semidirect
149. #15688996C22semidirect
150. #15688996C22semidirect
160. #15688994C22semidirect
161. #15688994C22semidirect
175. C47×#391C22semidirect
176. C47×#391C22semidirect
177. C47×#390C22semidirect
178. C47×#390C22semidirect
183. C47×#380C22semidirect
184. C47×#380C22semidirect
185. C47×#380C22semidirect
186. C47×#380C22semidirect
830. #2311D47semidirect
917. #391C2×D47semidirect
918. #391C2×D47semidirect
923. #390C2×D47semidirect
924. #390C2×D47semidirect
992. #380C2×D47semidirect
993. #380C2×D47semidirect
994. #380C2×D47semidirect
995. #380C2×D47semidirect
1000. C47#36791semidirect

Maximal subgroups

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

subgroupindex
#202516792
#202516692
#202513322
#202512422
#202511292
#202510852
#202510322
#202510022
#202506422
#202506272
#202505582
#202501812
#202501272
#202501032
#202499202
#202497912
#202497512
#202493432
#202493182
#202476512
#202475162
#202471252
#202470582
#202469922
#202469262
#202467672
#202467032
#202460572
C2×#156889942
C47×#23112
#3679147