Finite Group Databasebeta

← #26424154

Subgroups — #26424154

Order 12032.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251674C211yesmaximal, characteristic, complemented
2#20251671C211yesmaximal, characteristic, complemented
3#20251248C211yesmaximal, characteristic, complemented
4#20251017C211yesmaximal, characteristic, complemented
5#20251012C211yesmaximal, characteristic, complemented
6#20251011C211yesmaximal, characteristic, complemented
7#20250705C211yesmaximal, characteristic, complemented
8#20250661C211yesmaximal, characteristic, complemented
9#20250616C211yesmaximal, characteristic, complemented
10#20250509C211yesmaximal, characteristic, complemented
11#20250385C211yesmaximal, characteristic, complemented
12#20250187C211yesmaximal, characteristic, complemented
13#20250026C211yesmaximal, characteristic, complemented
14#20250022C211yesmaximal, characteristic, complemented
15#20249944C211yesmaximal, characteristic, complemented
16#20249827C211yesmaximal, characteristic, complemented
17#20249687C211yesmaximal, characteristic, complemented
18#20249101C211yesmaximal, characteristic, complemented
19#20249101C211yesmaximal, characteristic, complemented
20#20247780C211yesmaximal, characteristic, complemented
21#20247711C211yesmaximal, characteristic, complemented
22#20247632C211yesmaximal, characteristic, complemented
23#20247518C211yesmaximal, characteristic, complemented
24#20246932C211yesmaximal, characteristic, complemented
25#20246919C211yesmaximal, characteristic, complemented
26#20246868C211yesmaximal, characteristic, complemented
27#20246851C211yesmaximal, characteristic, complemented
28#20246041C211yesmaximal, characteristic, complemented
29#20246041C211yesmaximal, characteristic, complemented
30#386×D47C211yesmaximal, characteristic, complemented
31C47×#2781C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C2×#13094017C2211yescharacteristic, complemented
35C2×#13094012C2211yescharacteristic, complemented
36C2×#13094009C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094006C2211yescharacteristic, complemented
39C2×#13094002C2211yescharacteristic
40C2×#13094002C2211yescharacteristic, complemented
41C2×#13094001C2211yescharacteristic, complemented
42C2×#13093999C2211yescharacteristic
43C2×#13093999C2211yescharacteristic, complemented
44C2×#13093999C2211yescharacteristic, complemented
45C2×#13093998C2211yescharacteristic, complemented
46C2×#13093994C2211yescharacteristic
47C2×#13093994C2211yescharacteristic
48C2×#13093994C2211yescharacteristic
49C2×#13093994C2211yescharacteristic
50C2×#13093986C2211yescharacteristic
51C2×#13093986C2211yescharacteristic
52C2×C22⋊C4×D47C2211yescharacteristic
53C2×C22⋊C4×D47C2211yescharacteristic
54C2×C22⋊C4×D47C2211yescharacteristic
55C47⋊#401C2211yescharacteristic, complemented
56#15689065C2211yescharacteristic, complemented
57#15689064C2211yescharacteristic, complemented
58#15689062C2211yescharacteristic, complemented
59#15689062C2211yescharacteristic, complemented
60#15689061C2211yescharacteristic, complemented
61#15689058C2211yescharacteristic, complemented
62#15689054C2211yescharacteristic, complemented
63#15689052C2211yescharacteristic, complemented
64#15689052C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic, complemented
66#15689052C2211yescharacteristic, complemented
67#15689050C2211yescharacteristic, complemented
68#15689049C2211yescharacteristic, complemented
69#15689048C2211yescharacteristic, complemented
70#15689048C2211yescharacteristic, complemented
71#15689045C2211yescharacteristic, complemented
72#15689045C2211yescharacteristic, complemented
73#15689041C2211yescharacteristic, complemented
74#15689041C2211yescharacteristic, complemented
75#15689041C2211yescharacteristic, complemented
76#15689040C2211yescharacteristic
77#15689040C2211yescharacteristic
78#15689040C2211yescharacteristic, complemented
79#15689040C2211yescharacteristic, complemented
80#15689038C2211yescharacteristic
81#15689038C2211yescharacteristic
82#15689038C2211yescharacteristic
83#15689038C2211yescharacteristic
84#15689038C2211yescharacteristic, complemented
85#15689038C2211yescharacteristic, complemented
86#15689036C2211yescharacteristic, complemented
87#15689035C2211yescharacteristic, complemented
88#15689033C2211yescharacteristic
89#15689033C2211yescharacteristic
90#15689032C2211yescharacteristic
91#15689032C2211yescharacteristic
92#15689032C2211yescharacteristic
93#15689032C2211yescharacteristic
94#15689032C2211yescharacteristic, complemented
95#15689031C2211yescharacteristic
96#15689031C2211yescharacteristic
97#15689027C2211yescharacteristic, complemented
98#15689025C2211yescharacteristic, complemented
99#15689025C2211yescharacteristic, complemented
100#15689023C2211yescharacteristic, complemented
101#15689023C2211yescharacteristic, complemented
102#15689023C2211yescharacteristic, complemented
103#15689023C2211yescharacteristic, complemented
104#15689018C2211yescharacteristic, complemented
105#15689016C2211yescharacteristic, complemented
106#15689016C2211yescharacteristic, complemented
107#15689015C2211yescharacteristic, complemented
108#15689015C2211yescharacteristic, complemented
109#15689014C2211yescharacteristic, complemented
110#15689014C2211yescharacteristic, complemented
111#15689013C2211yescharacteristic, complemented
112#15689013C2211yescharacteristic, complemented
113#15689013C2211yescharacteristic, complemented
114#15689013C2211yescharacteristic, complemented
115#15689012C2211yescharacteristic, complemented
116#15689012C2211yescharacteristic, complemented
117#15689012C2211yescharacteristic, complemented
118#15689012C2211yescharacteristic, complemented
119#15689011C2211yescharacteristic, complemented
120#15689008C2211yescharacteristic, complemented
121#15689008C2211yescharacteristic, complemented
122#15689007C2211yescharacteristic, complemented
123#15689004C2211yescharacteristic, complemented
124#15689003C2211yescharacteristic
125#15689002C2211yescharacteristic
126#15689001C2211yescharacteristic
127#15689001C2211yescharacteristic
128#15689001C2211yescharacteristic
129#15689001C2211yescharacteristic
130#15689001C2211yescharacteristic
131#15689001C2211yescharacteristic
132#15689001C2211yescharacteristic, complemented
133#15689001C2211yescharacteristic, complemented
134#15689001C2211yescharacteristic, complemented
135#15689001C2211yescharacteristic, complemented
136#15689001C2211yescharacteristic, complemented
137#15689001C2211yescharacteristic, complemented
138#15689000C2211yescharacteristic
139#15689000C2211yescharacteristic, complemented
140#15689000C2211yescharacteristic, complemented
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic, complemented
144#15688999C2211yescharacteristic, complemented
145#15688999C2211yescharacteristic, complemented
146#15688997C2211yescharacteristic
147#15688997C2211yescharacteristic
148#15688997C2211yescharacteristic
149#15688997C2211yescharacteristic, complemented
150#15688997C2211yescharacteristic, complemented
151#15688996C2211yescharacteristic, complemented
152#15688994C2211yescharacteristic
153#15688994C2211yescharacteristic, complemented
154#15688990C2211yescharacteristic, complemented
155#15688985C2211yescharacteristic
156#15688985C2211yescharacteristic
157#15688985C2211yescharacteristic, complemented
158#15688982C2211yescharacteristic
159#15688982C2211yescharacteristic, complemented
160#15688981C2211yescharacteristic, complemented
161#15688980C2211yescharacteristic
162#15688980C2211yescharacteristic, complemented
163#15688980C2211yescharacteristic, complemented
164#15688978C2211yescharacteristic
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168C4×(C2×D47)⋊C4C2211yescharacteristic
169C4×(C2×D47)⋊C4C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C47×#400C2211yescharacteristic, complemented
173C47×#398C2211yescharacteristic, complemented
174C47×#397C2211yescharacteristic, complemented
175C47×#396C2211yescharacteristic, complemented
176C47×#394C2211yescharacteristic
177C47×#394C2211yescharacteristic
178C47×#388C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#388C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#387C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic
184C47×#385C2211yescharacteristic, complemented
185C47×#382C2211yescharacteristic, complemented
186C47×#380C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C2×D4×D47—24no—
205C2×D4×D47—42no—
206C2×D4×D47—42no—
207C23×Dic47C2311yescharacteristic
208C22×C4×D47—42no—
209C22×C4×D47—42no—
210C22×C4×D47—42no—
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220#13094017—42no—
221#13094012—42no—
222#13094009—42no—
223#13094009—42no—
224#13094006—42no—
225#13094002—42no—
226#13094002—42no—
227#13094001—42no—
228#13093999—42no—
229#13093999—42no—
230#13093999—42no—
231#13093998—42no—
232#13093994—24no—
233#13093994—24no—
234#13093994—42no—
235#13093994—42no—
236#13093986—42no—
237#13093986—42no—
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C22⋊C4×D47—42no—
300C22⋊C4×D47—42no—
301C22⋊C4×D47—42no—
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
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
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C22×D4×C47C2311yescharacteristic
335C23×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×C4⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊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×C42×C47C2311yescharacteristic
356C2×C42×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×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
371C23×D47—22no—
372C23×D47—22no—
373C23×D47—22no—
374C23×D47—22no—
375C23×D47—22no—
376C23×D47—41no—
377C23×D47—41no—
378C23×D47—41no—
379C23×D47—41no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47#4114yes—
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C23×D47C2411yescharacteristic
390C2×D4×C47—22no—
391C2×D4×C47—41no—
392C2×D4×C47—41no—
393C22×C4×C47—22no—
394C22×C4×C47—41no—
395C22×C4×C47—41no—
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C2×C22⋊D47—22no—
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—22no—
413C2×C22⋊D47—41no—
414C2×C22⋊D47—41no—
415C2×C22⋊D47—41no—
416C2×C22⋊D47—41no—
417C2×C22⋊D47—41no—
418C2×C22⋊D47—41no—
419C2×C22⋊D47—41no—
420C2×C22⋊D47—41no—
421C2×C22⋊D47—41no—
422C2×C22⋊D47—41no—
423C2×C22⋊D47—41no—
424C2×C22⋊D47—41no—
425C2×C22⋊D47—41no—
426C2×C22⋊D47—41no—
427C22×Dic47—22no—
428C22×Dic47—41no—
429C22×Dic47—41no—
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441D4×D47—416no—
442C2×D188—22no—
443C2×D188—22no—
444C2×D188—22no—
445C2×D188—22no—
446C2×D188—22no—
447C2×D188—22no—
448C2×D188—22no—
449C2×D188—22no—
450C2×D188—22no—
451C2×D188—22no—
452C2×D188—41no—
453C2×D188—41no—
454C2×D188—41no—
455C2×D188—41no—
456C2×D188—41no—
457C2×D188—41no—
458C2×D188—41no—
459C2×D188—41no—
460C2×D188—41no—
461C2×D188—41no—
462C2×D188—41no—
463C2×D188—41no—
464C2×D188—41no—
465C2×D188—41no—
466C2×C4×D47—22no—
467C2×C4×D47—22no—
468C2×C4×D47—22no—
469C2×C4×D47—22no—
470C2×C4×D47—22no—
471C2×C4×D47—22no—
472C2×C4×D47—22no—
473C2×C4×D47—22no—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
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×C4×D47—41no—
488C2×C4×D47—41no—
489C2×C4×D47—41no—
490C2×C4×D47—41no—
491C2×C4×D47—41no—
492C2×C4×D47—41no—
493C2×C4×D47—41no—
494C2×Dic94—22no—
495C2×Dic94—41no—
496C2×Dic94—41no—
497C4⋊C4×C47—22no—
498C4⋊C4×C47—41no—
499C4⋊C4×C47—41no—
500C4⋊C4×C47—41no—
501C4⋊C4×C47—41no—
502C4⋊C4×C47—41no—
503C4⋊C4×C47—41no—
504C4⋊C4×C47—41no—
505C22⋊C4×C47—22no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—22no—
508C22⋊C4×C47—41no—
509C22⋊C4×C47—41no—
510C22⋊C4×C47—41no—
511C22⋊C4×C47—41no—
512C22⋊C4×C47—41no—
513C22⋊C4×C47—41no—
514C22⋊C4×C47—41no—
515C22⋊C4×C47—41no—
516C42×C47—41no—
517C42×C47—41no—
518C22⋊Dic47—22no—
519C22⋊Dic47—41no—
520C22⋊Dic47—41no—
521C22⋊Dic47—41no—
522C22⋊Dic47—41no—
523C22⋊Dic47—41no—
524C22⋊Dic47—41no—
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—22no—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
534(C2×D47)⋊C4—22no—
535(C2×D47)⋊C4—22no—
536(C2×D47)⋊C4—22no—
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—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4—41no—
550(C2×D47)⋊C4—41no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4—41no—
553(C2×D47)⋊C4—41no—
554(C2×D47)⋊C4—41no—
555(C2×D47)⋊C4—41no—
556(C2×D47)⋊C4—41no—
557(C2×D47)⋊C4—41no—
558(C2×D47)⋊C4—41no—
559(C2×D47)⋊C4—41no—
560(C2×D47)⋊C4—41no—
561(C2×D47)⋊C4—41no—
562(C2×D47)⋊C4—41no—
563(C2×D47)⋊C4—41no—
564(C2×D47)⋊C4—41no—
565C4⋊Dic47—22no—
566C4⋊Dic47—41no—
567C4⋊Dic47—41no—
568C4⋊Dic47—41no—
569Dic47⋊C4—22no—
570Dic47⋊C4—22no—
571Dic47⋊C4—41no—
572Dic47⋊C4—41no—
573Dic47⋊C4—41no—
574Dic47⋊C4—41no—
575Dic47⋊C4—41no—
576Dic47⋊C4—41no—
577Dic47⋊C4—41no—
578Dic47⋊C4—41no—
579C4×Dic47—41no—
580C4×Dic47—41no—
581C4×Dic47—41no—
582C4×Dic47—41no—
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×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47C2×#4112yes—
597C23×C47C2511yescharacteristic
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—28no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—44no—
631C22×D47—44no—
632C22×D47—44no—
633C22×D47—44no—
634C22×D47—44no—
635C22×D47—44no—
636C22×D47—44no—
637C22×D47—44no—
638C22×D47—44no—
639C22×D47—82no—
640C22×D47—82no—
641C22×D47—82no—
642C22×D47—82no—
643C22×D47C2×#4112yes—
644C22×D47C2×#4112yes—
645C22×D47H(5,𝔽2)12yes—
646C22×D47H(5,𝔽2)12yes—
647D4×C47—44no—
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—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—44no—
687C2×C4×C47H(5,𝔽2)12yes—
688C22⋊D47—44no—
689C22⋊D47—44no—
690C22⋊D47—82no—
691C22⋊D47—82no—
692C22⋊D47—82no—
693C22⋊D47—82no—
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—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—44no—
727C2×Dic47H(5,𝔽2)12yes—
728D188—44no—
729D188—44no—
730D188—44no—
731D188—82no—
732D188—82no—
733D188—82no—
734D188—82no—
735D188—82no—
736C4×D47—44no—
737C4×D47—44no—
738C4×D47—44no—
739C4×D47—44no—
740C4×D47—44no—
741C4×D47—82no—
742C4×D47—82no—
743C4×D47—82no—
744C4×D47—82no—
745Dic94—82no—
746#36758—471nomaximal, Sylow
747C22×C47—22no—
748C22×C47—22no—
749C22×C47—22no—
750C22×C47—41no—
751C22×C47—41no—
752C22×C47—41no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47—41no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47C22×#4111yescharacteristic
762C22×C47C2×H(5,𝔽2)11yescharacteristic
763C22×C47C2×H(5,𝔽2)11yescharacteristic
764C22×C47C2×H(5,𝔽2)11yescharacteristic
765C22×C47C2×H(5,𝔽2)11yescharacteristic
766C22×C47#58511yescharacteristic
767C22×C47#58511yescharacteristic
768C2×D47—22no—
769C2×D47—22no—
770C2×D47—22no—
771C2×D47—22no—
772C2×D47—22no—
773C2×D47—22no—
774C2×D47—22no—
775C2×D47—22no—
776C2×D47—22no—
777C2×D47—416no—
778C2×D47—41no—
779C2×D47—41no—
780C2×D47—41no—
781C2×D47—41no—
782C2×D47—41no—
783C2×D47—41no—
784C2×D47—41no—
785C2×D47—41no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C2×D47—41no—
790C2×D47—41no—
791C2×D47—41no—
792C2×D47—41no—
793C2×D47—41no—
794C2×D47—41no—
795C2×D47—41no—
796C2×D47—41no—
797C2×D47—41no—
798C2×D47—41no—
799C2×D47—41no—
800C2×D47—41no—
801C2×D47—41no—
802C2×D47—41no—
803C2×D47—88no—
804C2×D47#53814yes—
805C4×C47—22no—
806C4×C47—41no—
807C4×C47—41no—
808C4×C47—41no—
809C4×C47—41no—
810C4×C47—41no—
811C4×C47—41no—
812C4×C47—41no—
813C4×C47—41no—
814C4×C47—41no—
815C4×C47—41no—
816C4×C47—41no—
817C4×C47—41no—
818Dic47—22no—
819Dic47—41no—
820Dic47—41no—
821Dic47—41no—
822Dic47—41no—
823Dic47—41no—
824Dic47—41no—
825Dic47—41no—
826Dic47—41no—
827Dic47—41no—
828Dic47—41no—
829#2848—471no—
830#2847—471no—
831#2797—471no—
832#2781D4711yescharacteristic, complemented
833#2779—471no—
834#2778—471no—
835#2778—471no—
836#2756—471no—
837#2753—471no—
838#2749—471no—
839#2741—471no—
840#2730—471no—
841#2714—471no—
842#2703—471no—
843#2702—471no—
844#2696—471no—
845#2688—471no—
846#2676—471no—
847#2613—471no—
848#2613—471no—
849#2493—471no—
850#2488—471no—
851#2480—471no—
852#2472—471no—
853#2425—471no—
854#2424—471no—
855#2419—471no—
856#2418—471no—
857#2321—471no—
858#2321—471no—
859C2×#386—471no—
860C2×C47—42no—
861C2×C47—81no—
862C2×C47C2×#53811yescharacteristic
863C2×C47#350511yescharacteristic
864C2×C47#350511yescharacteristic
865C2×C47#353211yescharacteristic
866C2×C47#353311yescharacteristic
867C2×C47#354211yescharacteristic
868C2×C47#354211yescharacteristic
869D47—24no—
870D47—42no—
871D47—81no—
872D47—81no—
873D47—81no—
874C23×D4—471no—
875C24×C4—471no—
876C2×#126—471no—
877C2×#124—471no—
878C2×#123—471no—
879C2×#123—471no—
880C2×#123—471no—
881C2×C22⋊Q8—471no—
882C2×C22⋊Q8—471no—
883C2×C22⋊Q8—471no—
884C2×#121—471no—
885C2×#121—471no—
886C2×#121—471no—
887C2×#121—471no—
888C2×#120—471no—
889C2×#120—471no—
890C2×#120—471no—
891C2×#120—471no—
892C2×C4×D4—471no—
893C2×C4×D4—471no—
894C22×C22⋊C4—471no—
895C22×C22⋊C4—471no—
896C22×C22⋊C4—471no—
897#401—471no—
898#400—471no—
899#400—471no—
900#400—471no—
901#400—471no—
902#400—471no—
903#400C2×D4711yescharacteristic, complemented
904#399—471no—
905#398—471no—
906#398C2×D4711yescharacteristic, complemented
907#397—471no—
908#397—471no—
909#397—471no—
910#397—471no—
911#397—471no—
912#397—471no—
913#397—471no—
914#397—471no—
915#397C2×D4711yescharacteristic, complemented
916#396—471no—
917#396—471no—
918#396C2×D4711yescharacteristic, complemented
919#394—471no—
920#394—471no—
921#394—471no—
922#394—471no—
923#394—471no—
924#394—471no—
925#394—471no—
926#394—471no—
927#394—471no—
928#394—471no—
929#394—471no—
930#394—471no—
931#394—471no—
932#394C2×D4711yescharacteristic
933#394C2×D4711yescharacteristic
934#393—471no—
935#393—471no—
936#392—471no—
937#392—471no—
938#392—471no—
939#392—471no—
940#392—471no—
941#392—471no—
942#392—471no—
943#392—471no—
944#392—471no—
945#391—471no—
946#390—471no—
947#390—471no—
948#390—471no—
949#390—471no—
950#390—471no—
951#390—471no—
952#389—471no—
953#388—471no—
954#388—471no—
955#388—471no—
956#388—471no—
957#388—471no—
958#388—471no—
959#388—471no—
960#388—471no—
961#388—471no—
962#388—471no—
963#388—471no—
964#388—471no—
965#388—471no—
966#388—471no—
967#388—471no—
968#388C2×D4711yescharacteristic, complemented
969#388C2×D4711yescharacteristic, complemented
970#388C2×D4711yescharacteristic, complemented
971#388C2×D4711yescharacteristic, complemented
972#387—471no—
973#387—471no—
974#387—471no—
975#387—471no—
976#387C2×D4711yescharacteristic, complemented
977#386—471no—
978#386—471no—
979#386—471no—
980#386—471no—
981#386—471no—
982#386—471no—
983#386—471no—
984#386—471no—
985#386—471no—
986#386—471no—
987#386—471no—
988#386—471no—
989#386—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386C2×D4711yescharacteristic
1000#385—471no—
1001#385—471no—
1002#385—471no—
1003#385—471no—
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#385C2×D4711yescharacteristic, complemented
1009#383—471no—
1010#382C2×D4711yescharacteristic, complemented
1011#381—471no—
1012#381—471no—
1013#381—471no—
1014#380—471no—
1015#380—471no—
1016#380—471no—
1017#380—471no—
1018#380—471no—
1019#380—471no—
1020#380C2×D4711yescharacteristic, complemented
1021#379—471no—
1022#379—471no—
1023#379—471no—
1024#379—471no—
1025C4×C22⋊C4—471no—
1026C4×C22⋊C4—471no—
1027C2×#95—471no—
1028C2×#95—471no—
1029C47#3675811yescharacteristic, complemented, Sylow
1030C25—471no—
1031C25—471no—
1032C22×Q8—471no—
1033C22×D4—471no—
1034C22×D4—471no—
1035C22×D4—471no—
1036C22×D4—471no—
1037C22×D4—471no—
1038C22×D4—471no—
1039C22×D4—471no—
1040C22×D4—471no—
1041C22×D4—471no—
1042C22×D4—471no—
1043C22×D4—471no—
1044C22×D4—471no—
1045C22×D4—471no—
1046C22×D4—471no—
1047C22×D4—944no—
1048C22×D4—1882no—
1049C22×D4—1882no—
1050C22×D4C22×D4711yescharacteristic
1051C23×C4—471no—
1052C23×C4—471no—
1053C23×C4—471no—
1054C23×C4—471no—
1055C23×C4—471no—
1056C23×C4—471no—
1057C23×C4—471no—
1058C23×C4—471no—
1059C23×C4—471no—
1060C23×C4—471no—
1061C23×C4—1882no—
1062C23×C4—1882no—
1063C23×C4—1882no—
1064C23×C4C22×D4711yescharacteristic
1065#126—1882no—
1066#124—1882no—
1067#123—1882no—
1068#123—1882no—
1069#123—1882no—
1070C22⋊Q8—1882no—
1071C22⋊Q8—1882no—
1072C22⋊Q8—1882no—
1073#121—1882no—
1074#121—1882no—
1075#121—1882no—
1076#121—1882no—
1077#120—944no—
1078#120—944no—
1079#120—1882no—
1080#120—1882no—
1081C4×D4—1882no—
1082C4×D4—1882no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4C22×D4711yescharacteristic
1098C2×C4⋊C4C22×D4711yescharacteristic
1099C2×C4⋊C4C22×D4711yescharacteristic
1100C2×C4⋊C4C22×D4711yescharacteristic
1101C2×C4⋊C4C22×D4711yescharacteristic
1102C2×C4⋊C4C22×D4711yescharacteristic
1103C2×C4⋊C4C22×D4711yescharacteristic
1104C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—1882no—
1153C2×C22⋊C4—1882no—
1154C2×C22⋊C4—1882no—
1155C2×C22⋊C4C22×D4711yescharacteristic
1156C2×C22⋊C4C22×D4711yescharacteristic
1157C2×C22⋊C4C22×D4711yescharacteristic
1158C2×C22⋊C4C22×D4711yescharacteristic
1159C2×C22⋊C4C22×D4711yescharacteristic
1160C2×C22⋊C4C22×D4711yescharacteristic
1161C2×C22⋊C4C22×D4711yescharacteristic
1162C2×C22⋊C4C22×D4711yescharacteristic
1163C2×C22⋊C4C22×D4711yescharacteristic
1164C2×C22⋊C4C22×D4711yescharacteristic
1165C2×C22⋊C4C22×D4711yescharacteristic
1166C2×C42—471no—
1167C2×C42—471no—
1168C2×C42—471no—
1169C2×C42—471no—
1170C2×C42C22×D4711yescharacteristic
1171C2×C42C22×D4711yescharacteristic
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95C22×D4711yescharacteristic
1201#95C22×D4711yescharacteristic
1202#95C22×D4711yescharacteristic
1203#95C22×D4711yescharacteristic
1204#95C22×D4711yescharacteristic
1205#95C22×D4711yescharacteristic
1206#95C22×D4711yescharacteristic
1207#95C22×D4711yescharacteristic
1208#95C22×D4711yescharacteristic
1209#95C22×D4711yescharacteristic
1210#95C22×D4711yescharacteristic
1211#95C22×D4711yescharacteristic
1212C24—471no—
1213C24—471no—
1214C24—474no—
1215C24—471no—
1216C24—471no—
1217C24—471no—
1218C24—942no—
1219C24—942no—
1220C24—942no—
1221C24—942no—
1222C24—942no—
1223C24—1881no—
1224C24—1881no—
1225C24—1881no—
1226C24—1881no—
1227C24—1881no—
1228C24—1881no—
1229C24—1881no—
1230C24—1881no—
1231C24C23×D4711yescharacteristic
1232C24C23×D4711yescharacteristic
1233C2×Q8—942no—
1234C2×Q8—1881no—
1235C2×Q8—1881no—
1236C2×D4—22no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—942no—
1240C2×D4—942no—
1241C2×D4—942no—
1242C2×D4—942no—
1243C2×D4—942no—
1244C2×D4—942no—
1245C2×D4—942no—
1246C2×D4—942no—
1247C2×D4—942no—
1248C2×D4—942no—
1249C2×D4—942no—
1250C2×D4—942no—
1251C2×D4—942no—
1252C2×D4—942no—
1253C2×D4—1881no—
1254C2×D4—1881no—
1255C2×D4—1881no—
1256C2×D4—1881no—
1257C2×D4—1881no—
1258C2×D4—1881no—
1259C2×D4—1881no—
1260C2×D4—1881no—
1261C2×D4—1881no—
1262C2×D4—1881no—
1263C2×D4—1881no—
1264C2×D4—1881no—
1265C2×D4—1881no—
1266C2×D4—1881no—
1267C2×D4—1881no—
1268C2×D4—1881no—
1269C2×D4—1881no—
1270C2×D4—1881no—
1271C2×D4—1881no—
1272C2×D4—1881no—
1273C2×D4—1881no—
1274C2×D4—1881no—
1275C2×D4—1881no—
1276C2×D4—1881no—
1277C2×D4—1881no—
1278C2×D4—1881no—
1279C2×D4—1881no—
1280C2×D4—1881no—
1281C2×D4—18816no—
1282C22×C4—22no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—471no—
1286C22×C4—471no—
1287C22×C4—471no—
1288C22×C4—471no—
1289C22×C4—471no—
1290C22×C4—471no—
1291C22×C4—471no—
1292C22×C4—471no—
1293C22×C4—471no—
1294C22×C4—471no—
1295C22×C4—471no—
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—1881no—
1309C22×C4—1881no—
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—18816no—
1325C22×C4—1881no—
1326C22×C4—1881no—
1327C22×C4C23×D4711yescharacteristic
1328C22×C4C23×D4711yescharacteristic
1329C22×C4C23×D4711yescharacteristic
1330C22×C4C23×D4711yescharacteristic
1331C22×C4C23×D4711yescharacteristic
1332C22×C4C23×D4711yescharacteristic
1333C22×C4C23×D4711yescharacteristic
1334C22×C4C23×D4711yescharacteristic
1335C22×C4C23×D4711yescharacteristic
1336C22×C4C23×D4711yescharacteristic
1337C22×C4C23×D4711yescharacteristic
1338C22×C4C23×D4711yescharacteristic
1339C22×C4C23×D4711yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—942no—
1349C4⋊C4—942no—
1350C4⋊C4—942no—
1351C4⋊C4—1881no—
1352C4⋊C4—1881no—
1353C4⋊C4—1881no—
1354C4⋊C4—1881no—
1355C4⋊C4—1881no—
1356C4⋊C4—1881no—
1357C4⋊C4—1881no—
1358C4⋊C4—1881no—
1359C4⋊C4—1881no—
1360C4⋊C4—1881no—
1361C4⋊C4—1881no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—942no—
1374C22⋊C4—942no—
1375C22⋊C4—942no—
1376C22⋊C4—942no—
1377C22⋊C4—942no—
1378C22⋊C4—942no—
1379C22⋊C4—942no—
1380C22⋊C4—942no—
1381C22⋊C4—942no—
1382C22⋊C4—942no—
1383C22⋊C4—942no—
1384C22⋊C4—942no—
1385C22⋊C4—942no—
1386C22⋊C4—1881no—
1387C22⋊C4—1881no—
1388C22⋊C4—1881no—
1389C22⋊C4—1881no—
1390C22⋊C4—1881no—
1391C22⋊C4—1881no—
1392C22⋊C4—1881no—
1393C22⋊C4—1881no—
1394C22⋊C4—1881no—
1395C22⋊C4—1881no—
1396C22⋊C4—1881no—
1397C22⋊C4—1881no—
1398C22⋊C4—1881no—
1399C22⋊C4—1881no—
1400C22⋊C4—1881no—
1401C22⋊C4—1881no—
1402C22⋊C4—1881no—
1403C22⋊C4—1881no—
1404C22⋊C4—1881no—
1405C22⋊C4—1881no—
1406C22⋊C4—1881no—
1407C22⋊C4—1881no—
1408C22⋊C4—1881no—
1409C22⋊C4—1881no—
1410C22⋊C4—1881no—
1411C22⋊C4—1881no—
1412C22⋊C4—1881no—
1413C22⋊C4—1881no—
1414C22⋊C4—1881no—
1415C22⋊C4—1881no—
1416C22⋊C4—1881no—
1417C22⋊C4—1881no—
1418C22⋊C4—1881no—
1419C22⋊C4—1881no—
1420C42—41no—
1421C42—41no—
1422C42—1881no—
1423C42—1881no—
1424C42—1881no—
1425C42—1881no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—472no—
1440C23—472no—
1441C23—472no—
1442C23—472no—
1443C23—948no—
1444C23—941no—
1445C23—941no—
1446C23—941no—
1447C23—941no—
1448C23—941no—
1449C23—941no—
1450C23—941no—
1451C23—941no—
1452C23—941no—
1453C23—941no—
1454C23—941no—
1455C23—941no—
1456C23—941no—
1457C23—941no—
1458C23—941no—
1459C23—941no—
1460C23—941no—
1461C23—941no—
1462C23—941no—
1463C23—941no—
1464C23—941no—
1465C23—941no—
1466C23—941no—
1467C23—941no—
1468C23—941no—
1469C23—941no—
1470C23—941no—
1471C23—941no—
1472C23—941no—
1473C23—941no—
1474C23—941no—
1475C23—3762no—
1476C23—3762no—
1477C23—3762no—
1478C23—3762no—
1479C23—1884no—
1480C23—1884no—
1481C23—1884no—
1482C23—1884no—
1483C23—1884no—
1484C23—1884no—
1485C23—1884no—
1486C23—1884no—
1487C23—1884no—
1488C23#41×D4712yes—
1489C23C24×D4711yescharacteristic
1490Q8—3762no—
1491D4—44no—
1492D4—3762no—
1493D4—3762no—
1494D4—3762no—
1495D4—3762no—
1496D4—3762no—
1497D4—3762no—
1498D4—3762no—
1499D4—3762no—
1500D4—3762no—
1501D4—1884no—
1502D4—1884no—
1503D4—1884no—
1504D4—1884no—
1505D4—1884no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—44no—
1545C2×C4—472no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—941no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—941no—
1563C2×C4—941no—
1564C2×C4—941no—
1565C2×C4—941no—
1566C2×C4—941no—
1567C2×C4—941no—
1568C2×C4—941no—
1569C2×C4—941no—
1570C2×C4—941no—
1571C2×C4—941no—
1572C2×C4—941no—
1573C2×C4—941no—
1574C2×C4—941no—
1575C2×C4—941no—
1576C2×C4—941no—
1577C2×C4—941no—
1578C2×C4—3762no—
1579C2×C4—3762no—
1580C2×C4—3762no—
1581C2×C4—3762no—
1582C2×C4—1884no—
1583C2×C4—1884no—
1584C2×C4—1884no—
1585C2×C4—1884no—
1586C2×C4—1884no—
1587C2×C4—1884no—
1588C2×C4#1309407012yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—474no—
1604C22—942no—
1605C22—942no—
1606C22—942no—
1607C22—942no—
1608C22—942no—
1609C22—942no—
1610C22—942no—
1611C22—942no—
1612C22—942no—
1613C22—3768no—
1614C22—18816no—
1615C22—1881no—
1616C22—1881no—
1617C22—1881no—
1618C22—1881no—
1619C22—1881no—
1620C22—1881no—
1621C22—1881no—
1622C22—1881no—
1623C22—1881no—
1624C22—1881no—
1625C22—1881no—
1626C22—1881no—
1627C22—1881no—
1628C22—1881no—
1629C22—1881no—
1630C22—1881no—
1631C22—1881no—
1632C22—1881no—
1633C22—1881no—
1634C22—1881no—
1635C22—1881no—
1636C22—1881no—
1637C22—1881no—
1638C22—1881no—
1639C22—1881no—
1640C22C2×#41×D4711yescharacteristic
1641C22H(5,𝔽2)×D4711yescharacteristic
1642C22H(5,𝔽2)×D4711yescharacteristic
1643C22H(5,𝔽2)×D4711yescharacteristic
1644C22C2×#1309407011yescharacteristic
1645C22#1568995911yescharacteristic
1646C22#1568996011yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—942no—
1661C4—1881no—
1662C4—1881no—
1663C4—1881no—
1664C4—1881no—
1665C4—1881no—
1666C4—1881no—
1667C4—1881no—
1668C4—1881no—
1669C4—1881no—
1670C4—1881no—
1671C2—42no—
1672C2—81no—
1673C2—944no—
1674C2—3761no—
1675C2—3761no—
1676C2—3761no—
1677C2—1882no—
1678C2#538×D4711yescharacteristic
1679C2#2025722111yescharacteristic
1680C2#2025722811yescharacteristic
1681C2#2025753911yescharacteristic
1682C2#2025756311yescharacteristic
1683C2#2025770111yescharacteristic
1684C2#2025771111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2781C2
hypercenter#2781D47
hypocenterC47#36758
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2781

Complements

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

NH ≅ G/Ntype
1. #20251674C2semidirect
2. #20251671C2semidirect
3. #20251248C2semidirect
4. #20251017C2semidirect
5. #20251012C2semidirect
6. #20251011C2semidirect
7. #20250705C2semidirect
8. #20250661C2semidirect
9. #20250616C2semidirect
10. #20250509C2semidirect
11. #20250385C2semidirect
12. #20250187C2semidirect
13. #20250026C2semidirect
14. #20250022C2semidirect
15. #20249944C2semidirect
16. #20249827C2semidirect
17. #20249687C2semidirect
18. #20249101C2semidirect
19. #20249101C2semidirect
20. #20247780C2semidirect
21. #20247711C2semidirect
22. #20247632C2semidirect
23. #20247518C2semidirect
24. #20246932C2semidirect
25. #20246919C2semidirect
26. #20246868C2semidirect
27. #20246851C2semidirect
28. #20246041C2semidirect
29. #20246041C2semidirect
30. #386×D47C2semidirect
31. C47×#2781C2semidirect
34. C2×#13094017C22semidirect
35. C2×#13094012C22semidirect
38. C2×#13094006C22semidirect
40. C2×#13094002C22semidirect
41. C2×#13094001C22semidirect
43. C2×#13093999C22semidirect
44. C2×#13093999C22semidirect
45. C2×#13093998C22semidirect
55. C47⋊#401C22semidirect
56. #15689065C22semidirect
57. #15689064C22semidirect
58. #15689062C22semidirect
59. #15689062C22semidirect
60. #15689061C22semidirect
61. #15689058C22semidirect
62. #15689054C22semidirect
63. #15689052C22semidirect
64. #15689052C22semidirect
65. #15689052C22semidirect
66. #15689052C22semidirect
67. #15689050C22semidirect
68. #15689049C22semidirect
69. #15689048C22semidirect
70. #15689048C22semidirect
71. #15689045C22semidirect
72. #15689045C22semidirect
73. #15689041C22semidirect
74. #15689041C22semidirect
75. #15689041C22semidirect
78. #15689040C22semidirect
79. #15689040C22semidirect
84. #15689038C22semidirect
85. #15689038C22semidirect
86. #15689036C22semidirect
87. #15689035C22semidirect
94. #15689032C22semidirect
97. #15689027C22semidirect
98. #15689025C22semidirect
99. #15689025C22semidirect
100. #15689023C22semidirect
101. #15689023C22semidirect
102. #15689023C22semidirect
103. #15689023C22semidirect
104. #15689018C22semidirect
105. #15689016C22semidirect
106. #15689016C22semidirect
107. #15689015C22semidirect
108. #15689015C22semidirect
109. #15689014C22semidirect
110. #15689014C22semidirect
111. #15689013C22semidirect
112. #15689013C22semidirect
113. #15689013C22semidirect
114. #15689013C22semidirect
115. #15689012C22semidirect
116. #15689012C22semidirect
117. #15689012C22semidirect
118. #15689012C22semidirect
119. #15689011C22semidirect
120. #15689008C22semidirect
121. #15689008C22semidirect
122. #15689007C22semidirect
123. #15689004C22semidirect
132. #15689001C22semidirect
133. #15689001C22semidirect
134. #15689001C22semidirect
135. #15689001C22semidirect
136. #15689001C22semidirect
137. #15689001C22semidirect
139. #15689000C22semidirect
140. #15689000C22semidirect
143. #15688999C22semidirect
144. #15688999C22semidirect
145. #15688999C22semidirect
149. #15688997C22semidirect
150. #15688997C22semidirect
151. #15688996C22semidirect
153. #15688994C22semidirect
154. #15688990C22semidirect
157. #15688985C22semidirect
159. #15688982C22semidirect
160. #15688981C22semidirect
162. #15688980C22semidirect
163. #15688980C22semidirect
172. C47×#400C22semidirect
173. C47×#398C22semidirect
174. C47×#397C22semidirect
175. C47×#396C22semidirect
178. C47×#388C22semidirect
179. C47×#388C22semidirect
180. C47×#388C22semidirect
181. C47×#388C22semidirect
182. C47×#387C22semidirect
184. C47×#385C22semidirect
185. C47×#382C22semidirect
186. C47×#380C22semidirect
832. #2781D47semidirect
903. #400C2×D47semidirect
906. #398C2×D47semidirect
915. #397C2×D47semidirect
918. #396C2×D47semidirect
968. #388C2×D47semidirect
969. #388C2×D47semidirect
970. #388C2×D47semidirect
971. #388C2×D47semidirect
976. #387C2×D47semidirect
1008. #385C2×D47semidirect
1010. #382C2×D47semidirect
1020. #380C2×D47semidirect
1029. C47#36758semidirect

Maximal subgroups

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

subgroupindex
#202516742
#202516712
#202512482
#202510172
#202510122
#202510112
#202507052
#202506612
#202506162
#202505092
#202503852
#202501872
#202500262
#202500222
#202499442
#202498272
#202496872
#202491012
#202477802
#202477112
#202476322
#202475182
#202469322
#202469192
#202468682
#202468512
#202460412
#386×D472
C47×#27812
#3675847