Finite Group Databasebeta

← #26388520

Subgroups — #26388520

Order 12032.

2198 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20248879C211yesmaximal, characteristic, complemented
2#20248794C211yesmaximal, characteristic, complemented
3#20248662C211yesmaximal, characteristic, complemented
4#20248656C211yesmaximal, characteristic, complemented
5#20248632C211yesmaximal, characteristic, complemented
6#20248457C211yesmaximal, characteristic, complemented
7#20248448C211yesmaximal, characteristic, complemented
8#20248442C211yesmaximal, characteristic, complemented
9#20248046C211yesmaximal, characteristic, complemented
10#20248040C211yesmaximal, characteristic, complemented
11#20247439C211yesmaximal, characteristic, complemented
12#20247433C211yesmaximal, characteristic, complemented
13#20247325C211yesmaximal, characteristic, complemented
14#20247319C211yesmaximal, characteristic, complemented
15#20247280C211yesmaximal, characteristic, complemented
16#20247274C211yesmaximal, characteristic, complemented
17#20246662C211yesmaximal, characteristic, complemented
18#20246630C211yesmaximal, characteristic, complemented
19#20246604C211yesmaximal, characteristic, complemented
20#20246603C211yesmaximal, characteristic, complemented
21C4×#13094019C211yesmaximal, characteristic, complemented
22C4×#13094018C211yesmaximal, characteristic, complemented
23C4×#13094012C211yesmaximal, characteristic, complemented
24C4×#13094010C211yesmaximal, characteristic, complemented
25C4×#13094009C211yesmaximal, characteristic, complemented
26C4×#13094007C211yesmaximal, characteristic, complemented
27C4×#13093998C211yesmaximal, characteristic, complemented
28C4×#13093997C211yesmaximal, characteristic, complemented
29#20245878C211yesmaximal, characteristic, complemented
30C42×C22⋊D47C211yesmaximal, characteristic, complemented
31C42×D4×C47C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C2×#13094019C2211yescharacteristic
34C2×#13094018C2211yescharacteristic
35C2×#13094012C2211yescharacteristic
36C2×#13094010C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094007C2211yescharacteristic
39C2×#13093998C2211yescharacteristic
40C2×#13093997C2211yescharacteristic
41C2×C4×Dic94C2211yescharacteristic
42C2×C4×D188C2211yescharacteristic
43C2×C4×D188C2211yescharacteristic
44C2×C4×C22⋊D47C2211yescharacteristic
45C2×C4×C22⋊D47C2211yescharacteristic
46C2×C4×C22⋊D47C2211yescharacteristic
47C2×C4×C22⋊D47C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×#13093983C2211yescharacteristic
51C2×C42×D47C2211yescharacteristic
52#15689065C2211yescharacteristic
53#15689059C2211yescharacteristic
54#15689057C2211yescharacteristic
55#15689056C2211yescharacteristic
56#15689055C2211yescharacteristic
57#15689051C2211yescharacteristic
58#15689046C2211yescharacteristic
59#15689046C2211yescharacteristic
60#15689046C2211yescharacteristic
61#15689045C2211yescharacteristic
62#15689044C2211yescharacteristic
63#15689044C2211yescharacteristic
64#15689043C2211yescharacteristic
65#15689041C2211yescharacteristic
66#15689040C2211yescharacteristic
67#15689039C2211yescharacteristic
68#15689039C2211yescharacteristic
69#15689039C2211yescharacteristic
70#15689038C2211yescharacteristic
71#15689038C2211yescharacteristic
72#15689038C2211yescharacteristic
73#15689037C2211yescharacteristic
74#15689036C2211yescharacteristic
75#15689035C2211yescharacteristic
76#15689035C2211yescharacteristic
77#15689033C2211yescharacteristic
78#15689032C2211yescharacteristic
79#15689032C2211yescharacteristic
80#15689032C2211yescharacteristic
81#15689031C2211yescharacteristic
82#15689031C2211yescharacteristic
83#15689031C2211yescharacteristic
84#15689029C2211yescharacteristic
85#15689029C2211yescharacteristic
86#15689029C2211yescharacteristic
87#15689027C2211yescharacteristic
88#15689025C2211yescharacteristic
89#15689025C2211yescharacteristic
90#15689025C2211yescharacteristic
91#15689025C2211yescharacteristic
92#15689023C2211yescharacteristic
93#15689023C2211yescharacteristic
94#15689021C2211yescharacteristic
95#15689020C2211yescharacteristic
96#15689016C2211yescharacteristic
97#15689016C2211yescharacteristic
98#15689015C2211yescharacteristic
99#15689015C2211yescharacteristic
100#15689014C2211yescharacteristic
101#15689014C2211yescharacteristic
102#15689014C2211yescharacteristic
103#15689014C2211yescharacteristic
104#15689014C2211yescharacteristic
105#15689014C2211yescharacteristic
106#15689014C2211yescharacteristic
107#15689014C2211yescharacteristic
108#15689014C2211yescharacteristic
109#15689014C2211yescharacteristic
110#15689014C2211yescharacteristic
111#15689013C2211yescharacteristic
112#15689013C2211yescharacteristic
113#15689012C2211yescharacteristic
114#15689012C2211yescharacteristic
115#15689012C2211yescharacteristic
116#15689012C2211yescharacteristic
117#15689011C2211yescharacteristic
118#15689010C2211yescharacteristic
119#15689009C2211yescharacteristic
120#15689009C2211yescharacteristic
121#15689007C2211yescharacteristic
122#15689007C2211yescharacteristic
123#15689007C2211yescharacteristic
124#15689007C2211yescharacteristic
125#15689007C2211yescharacteristic
126#15689006C2211yescharacteristic
127#15689004C2211yescharacteristic
128#15689002C2211yescharacteristic
129#15689002C2211yescharacteristic
130#15689002C2211yescharacteristic
131#15689002C2211yescharacteristic
132#15689002C2211yescharacteristic
133#15689002C2211yescharacteristic
134#15689002C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689001C2211yescharacteristic
137#15688999C2211yescharacteristic
138#15688996C2211yescharacteristic
139#15688994C2211yescharacteristic
140#15688991C2211yescharacteristic
141#15688990C2211yescharacteristic
142#15688989C2211yescharacteristic
143#15688987C2211yescharacteristic
144#15688986C2211yescharacteristic
145#15688985C2211yescharacteristic
146#15688983C2211yescharacteristic
147#15688982C2211yescharacteristic
148C4×Dic47⋊C4C2211yescharacteristic
149C4×Dic47⋊C4C2211yescharacteristic
150C4×Dic47⋊C4C2211yescharacteristic
151C4×Dic47⋊C4C2211yescharacteristic
152C4×Dic47⋊C4C2211yescharacteristic
153C4×Dic47⋊C4C2211yescharacteristic
154C4×C4⋊Dic47C2211yescharacteristic
155C4×(C2×D47)⋊C4C2211yescharacteristic
156C4×(C2×D47)⋊C4C2211yescharacteristic
157C4×(C2×D47)⋊C4C2211yescharacteristic
158C4×(C2×D47)⋊C4C2211yescharacteristic
159C4×(C2×D47)⋊C4C2211yescharacteristic
160C4×(C2×D47)⋊C4C2211yescharacteristic
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×(C2×D47)⋊C4C2211yescharacteristic
165C4×(C2×D47)⋊C4C2211yescharacteristic
166C4×(C2×D47)⋊C4C2211yescharacteristic
167C4×C22⋊Dic47C2211yescharacteristic
168C4×C22⋊Dic47C2211yescharacteristic
169C4×C22⋊Dic47C2211yescharacteristic
170C4×C22⋊Dic47C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C2×C4×D4×C47C2211yescharacteristic
173C2×C4×D4×C47C2211yescharacteristic
174C2×C4×D4×C47C2211yescharacteristic
175C22×C42×C47C2211yescharacteristic
176C22×C42×C47C2211yescharacteristic
177C4×C4⋊C4×C47C2211yescharacteristic
178C4×C4⋊C4×C47C2211yescharacteristic
179C4×C4⋊C4×C47C2211yescharacteristic
180C4×C22⋊C4×C47C2211yescharacteristic
181C4×C22⋊C4×C47C2211yescharacteristic
182C4×C22⋊C4×C47C2211yescharacteristic
183C4×C22⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C43×C47C2211yescharacteristic
187C2×#10625350—24no—
188C2×#10625350—42no—
189C2×#10625350—42no—
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206#13094019—24no—
207#13094018—24no—
208#13094012—24no—
209#13094010—24no—
210#13094009—24no—
211#13094007—24no—
212#13093998—24no—
213#13093997—24no—
214C4×Dic94—42no—
215C4×D188—42no—
216C4×D188—42no—
217C4×C22⋊D47—24no—
218C4×C22⋊D47—24no—
219C4×C22⋊D47—24no—
220C4×C22⋊D47—42no—
221C4×C22⋊D47—42no—
222C4×C22⋊D47—42no—
223#13093983—42no—
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
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×C4×Dic47C2311yescharacteristic
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C42×D47—42no—
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
329C22×D4×C47C2311yescharacteristic
330C23×C4×C47C2311yescharacteristic
331C23×C4×C47C2311yescharacteristic
332C23×C4×C47C2311yescharacteristic
333C23×C4×C47C2311yescharacteristic
334C23×C4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336C4×D4×C47—24no—
337C4×D4×C47—24no—
338C4×D4×C47—24no—
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C42×C47—42no—
349C2×C42×C47—42no—
350C2×C42×C47C2311yescharacteristic
351C2×C42×C47C2311yescharacteristic
352C2×C42×C47C2311yescharacteristic
353C2×C42×C47C2311yescharacteristic
354C2×C42×C47C2311yescharacteristic
355C2×C42×C47C2311yescharacteristic
356C2×C42×C47C2311yescharacteristic
357C2×C42×C47C2311yescharacteristic
358C2×C42×C47C2311yescharacteristic
359C2×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47C2411yescharacteristic
370C24×C47C2411yescharacteristic
371C23×D47C2411yescharacteristic
372C23×D47C2411yescharacteristic
373C23×D47C2411yescharacteristic
374C2×D4×C47—22no—
375C2×D4×C47—22no—
376C2×D4×C47—22no—
377C22×C4×C47—22no—
378C22×C4×C47—22no—
379C22×C4×C47—22no—
380C22×C4×C47—22no—
381C22×C4×C47—22no—
382C22×C4×C47—22no—
383C22×C4×C47—22no—
384C22×C4×C47—22no—
385C22×C4×C47—22no—
386C22×C4×C47—22no—
387C22×C4×C47—22no—
388C22×C4×C47—22no—
389C22×C4×C47—22no—
390C22×C4×C47—41no—
391C22×C4×C47—41no—
392C22×C4×C47—41no—
393C22×C4×C47—41no—
394C22×C4×C47#4114yes—
395C22×C4×C47C2411yescharacteristic
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
408C2×C22⋊D47—22no—
409C2×C22⋊D47—22no—
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—22no—
413C2×C22⋊D47—22no—
414C2×C22⋊D47—22no—
415C2×C22⋊D47—22no—
416C2×C22⋊D47—22no—
417C2×C22⋊D47—22no—
418C2×C22⋊D47—22no—
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—
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439#10625350—416no—
440C2×D188—22no—
441C2×D188—22no—
442C2×D188—22no—
443C2×D188—22no—
444C2×D188—22no—
445C2×D188—41no—
446C2×D188—41no—
447C2×D188—41no—
448C2×D188—41no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×Dic94—22no—
465C2×Dic94—22no—
466C2×Dic94—22no—
467C2×Dic94—41no—
468C2×Dic94—41no—
469C2×Dic94—41no—
470C4⋊C4×C47—22no—
471C4⋊C4×C47—22no—
472C4⋊C4×C47#4114yescomplemented
473C22⋊C4×C47—22no—
474C22⋊C4×C47—22no—
475C22⋊C4×C47—22no—
476C22⋊C4×C47—22no—
477C22⋊C4×C47—22no—
478C22⋊C4×C47#4114yescomplemented
479C42×C47—22no—
480C42×C47—22no—
481C42×C47—22no—
482C42×C47—22no—
483C42×C47—22no—
484C42×C47—22no—
485C42×C47—22no—
486C42×C47—22no—
487C42×C47—22no—
488C42×C47—41no—
489C42×C47—41no—
490C42×C47—41no—
491C42×C47—41no—
492C22⋊Dic47—22no—
493C22⋊Dic47—22no—
494C22⋊Dic47—22no—
495C22⋊Dic47—22no—
496C22⋊Dic47—22no—
497C22⋊Dic47—41no—
498C22⋊Dic47—41no—
499C22⋊Dic47—41no—
500C22⋊Dic47—41no—
501C22⋊Dic47—41no—
502(C2×D47)⋊C4—22no—
503(C2×D47)⋊C4—22no—
504(C2×D47)⋊C4—22no—
505(C2×D47)⋊C4—22no—
506(C2×D47)⋊C4—22no—
507(C2×D47)⋊C4—22no—
508(C2×D47)⋊C4—22no—
509(C2×D47)⋊C4—22no—
510(C2×D47)⋊C4—22no—
511(C2×D47)⋊C4—22no—
512(C2×D47)⋊C4—22no—
513(C2×D47)⋊C4—22no—
514(C2×D47)⋊C4—22no—
515(C2×D47)⋊C4—22no—
516(C2×D47)⋊C4—22no—
517(C2×D47)⋊C4—22no—
518(C2×D47)⋊C4—22no—
519(C2×D47)⋊C4—22no—
520(C2×D47)⋊C4—22no—
521(C2×D47)⋊C4—22no—
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#4114yescomplemented
530C4⋊Dic47—22no—
531C4⋊Dic47—22no—
532C4⋊Dic47—41no—
533C4⋊Dic47—41no—
534C4⋊Dic47—41no—
535C4⋊Dic47—41no—
536C4⋊Dic47—41no—
537Dic47⋊C4—22no—
538Dic47⋊C4—22no—
539Dic47⋊C4—22no—
540Dic47⋊C4—22no—
541Dic47⋊C4—22no—
542Dic47⋊C4—22no—
543Dic47⋊C4—22no—
544Dic47⋊C4—22no—
545Dic47⋊C4—41no—
546Dic47⋊C4—41no—
547Dic47⋊C4—41no—
548Dic47⋊C4—41no—
549Dic47⋊C4—41no—
550Dic47⋊C4#4114yescomplemented
551C4×Dic47—22no—
552C4×Dic47—22no—
553C4×Dic47—22no—
554C4×Dic47—22no—
555C4×Dic47—22no—
556C4×Dic47—22no—
557C4×Dic47—22no—
558C4×Dic47—22no—
559C4×Dic47—22no—
560C4×Dic47—41no—
561C4×Dic47—41no—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47C2×#4112yes—
575C23×C47C2×#4112yes—
576C23×C47C2511yescharacteristic
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×D47C2×#4112yes—
598D4×C47—28no—
599C2×C4×C47—21no—
600C2×C4×C47—21no—
601C2×C4×C47—21no—
602C2×C4×C47—21no—
603C2×C4×C47—21no—
604C2×C4×C47—21no—
605C2×C4×C47—21no—
606C2×C4×C47—21no—
607C2×C4×C47—21no—
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—28no—
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—44no—
629C2×C4×C47—44no—
630C2×C4×C47—44no—
631C2×C4×C47—44no—
632C2×C4×C47—44no—
633C2×C4×C47C2×#4112yes—
634C2×C4×C47C2×#4112yes—
635C2×C4×C47C2×#4112yes—
636C2×C4×C47C2×#4112yes—
637C2×C4×C47C2×#4112yes—
638C2×C4×C47C2×#4112yes—
639C2×C4×C47C2×#4112yes—
640C2×C4×C47C2×#4112yes—
641C2×C4×C47C2×#4112yes—
642C2×C4×C47H(5,𝔽2)12yes—
643C2×C4×C47H(5,𝔽2)12yes—
644C22⋊D47—28no—
645C22⋊D47—44no—
646C22⋊D47—44no—
647C22⋊D47—44no—
648C22⋊D47—44no—
649C22⋊D47—44no—
650C2×Dic47—21no—
651C2×Dic47—21no—
652C2×Dic47—21no—
653C2×Dic47—21no—
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×Dic47C2×#4112yes—
687C2×Dic47C2×#4112yes—
688C2×Dic47C2×#4112yes—
689D188—44no—
690D188—44no—
691D188—44no—
692C4×D47—44no—
693C4×D47—44no—
694C4×D47—44no—
695C4×D47—44no—
696C4×D47—44no—
697Dic94—44no—
698Dic94—44no—
699#34962—471nomaximal, Sylow
700C22×C47—22no—
701C22×C47—22no—
702C22×C47—22no—
703C22×C47—22no—
704C22×C47—22no—
705C22×C47—22no—
706C22×C47—41no—
707C22×C47—41no—
708C22×C47—41no—
709C22×C47—41no—
710C22×C47—41no—
711C22×C47—41no—
712C22×C47—41no—
713C22×C47—41no—
714C22×C47C22×#4111yescharacteristic
715C22×C47C22×#4111yescharacteristic
716C22×C47C22×#4111yescharacteristic
717C22×C47C22×#4111yescharacteristic
718C22×C47C22×#4111yescharacteristic
719C22×C47C2×H(5,𝔽2)11yescharacteristic
720C22×C47C2×H(5,𝔽2)11yescharacteristic
721C2×D47—22no—
722C2×D47—22no—
723C2×D47—22no—
724C2×D47—41no—
725C2×D47—41no—
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—
742C4×C47—22no—
743C4×C47—22no—
744C4×C47—22no—
745C4×C47—22no—
746C4×C47—22no—
747C4×C47—22no—
748C4×C47—22no—
749C4×C47—22no—
750C4×C47—41no—
751C4×C47—41no—
752C4×C47—41no—
753C4×C47—41no—
754C4×C47#53814yes—
755Dic47—22no—
756Dic47—22no—
757Dic47—22no—
758Dic47—41no—
759Dic47—41no—
760Dic47—41no—
761Dic47—41no—
762Dic47—41no—
763Dic47—41no—
764Dic47—41no—
765Dic47—41no—
766Dic47—41no—
767Dic47—41no—
768#2593—471no—
769#2586—471no—
770#2574—471no—
771#2574—471no—
772#2572—471no—
773#2555—471no—
774#2554—471no—
775#2554—471no—
776#2518—471no—
777#2518—471no—
778#2467—471no—
779#2467—471no—
780#2459—471no—
781#2459—471no—
782#2456—471no—
783#2456—471no—
784#2396—471no—
785#2392—471no—
786#2388—471no—
787#2388—471no—
788C4×#126—471no—
789C4×#126—471no—
790C4×#124—471no—
791C4×#124—471no—
792C4×#123—471no—
793C4×#123—471no—
794C4×#121—471no—
795C4×#121—471no—
796#2297—471no—
797C42×D4—471no—
798C42×D4D4711yescharacteristic, complemented
799C2×C47—42no—
800C2×C47—42no—
801C2×C47#344411yescharacteristic
802C2×C47#344411yescharacteristic
803C2×C47C2×#53811yescharacteristic
804C2×C47#348111yescharacteristic
805C2×C47#348111yescharacteristic
806C2×C47#348111yescharacteristic
807C2×C47#348311yescharacteristic
808D47—42no—
809D47—81no—
810D47—81no—
811C22×#41—471no—
812C2×#126—471no—
813C2×#126—471no—
814C2×#124—471no—
815C2×#124—471no—
816C2×#123—471no—
817C2×#123—471no—
818C2×#121—471no—
819C2×#121—471no—
820C2×C4×Q8—471no—
821C2×C4×D4—471no—
822C2×C4×D4—471no—
823C2×C4×D4—471no—
824C2×C4×D4—471no—
825C2×C4×D4—471no—
826C2×C4×D4—471no—
827C2×C4×D4—471no—
828C2×C4×D4—471no—
829C2×C4×D4C2×D4711yescharacteristic
830C2×C4×D4C2×D4711yescharacteristic
831C2×C4×D4C2×D4711yescharacteristic
832C2×#117—471no—
833C22×C42—471no—
834C22×C42C2×D4711yescharacteristic
835C22×C42C2×D4711yescharacteristic
836#400—471no—
837#399—471no—
838#398—471no—
839#398—471no—
840#398—471no—
841#397—471no—
842#396—471no—
843#396—471no—
844#396—471no—
845#396—471no—
846#395—471no—
847#395—471no—
848#395—471no—
849#394—471no—
850#394—471no—
851#394—471no—
852#394—471no—
853#394—471no—
854#394—471no—
855#394—471no—
856#394—471no—
857#394—471no—
858#393—471no—
859#393—471no—
860#393—471no—
861#392—471no—
862#392—471no—
863#392—471no—
864#392—471no—
865#392—471no—
866#392—471no—
867#392—471no—
868#391—471no—
869#391—471no—
870#391—471no—
871#391—471no—
872#390—471no—
873#390—471no—
874#390—471no—
875#390—471no—
876#390—471no—
877#390—471no—
878#389—471no—
879#389—471no—
880#388—471no—
881#388—471no—
882#388—471no—
883#388—471no—
884#388—471no—
885#388—471no—
886#388—471no—
887#388—471no—
888#388—471no—
889#388—471no—
890#388—471no—
891#388—471no—
892#388—471no—
893#388—471no—
894#388—471no—
895#388—471no—
896#388—471no—
897#388—471no—
898#388—471no—
899#388—471no—
900#388—471no—
901#388—471no—
902#387—471no—
903#387—471no—
904#387—471no—
905#387—471no—
906#387—471no—
907#387—471no—
908#387—471no—
909#387—471no—
910#387—471no—
911#387—471no—
912#386—471no—
913#386—471no—
914#386—471no—
915#386—471no—
916#386—471no—
917#386—471no—
918#386—471no—
919#386—471no—
920#386—471no—
921#386—471no—
922#385—471no—
923#385—471no—
924#383—471no—
925#383—471no—
926#382—471no—
927#382—471no—
928#381—471no—
929#381—471no—
930#380—471no—
931#380—471no—
932C4×C4⋊C4—471no—
933C4×C4⋊C4—471no—
934C4×C4⋊C4—471no—
935C4×C4⋊C4—471no—
936C4×C4⋊C4—471no—
937C4×C4⋊C4—471no—
938C4×C4⋊C4—471no—
939C4×C4⋊C4C2×D4711yescharacteristic
940C4×C4⋊C4C2×D4711yescharacteristic
941C4×C4⋊C4C2×D4711yescharacteristic
942C4×C22⋊C4—471no—
943C4×C22⋊C4—471no—
944C4×C22⋊C4—471no—
945C4×C22⋊C4—471no—
946C4×C22⋊C4—471no—
947C4×C22⋊C4—471no—
948C4×C22⋊C4—471no—
949C4×C22⋊C4—471no—
950C4×C22⋊C4—471no—
951C4×C22⋊C4—471no—
952C4×C22⋊C4—471no—
953C4×C22⋊C4—471no—
954C4×C22⋊C4—471no—
955C4×C22⋊C4—471no—
956C4×C22⋊C4—471no—
957C4×C22⋊C4—471no—
958C4×C22⋊C4C2×D4711yescharacteristic
959C4×C22⋊C4C2×D4711yescharacteristic
960C4×C22⋊C4C2×D4711yescharacteristic
961C4×C22⋊C4C2×D4711yescharacteristic
962C4×C22⋊C4C2×D4711yescharacteristic
963C4×C22⋊C4C2×D4711yescharacteristic
964C43—471no—
965C43C2×D4711yescharacteristic
966C47#3496211yescharacteristic, complemented, Sylow
967C2×#41—944no—
968C2×#41—1882no—
969C2×#41—1882no—
970C22×Q8—471no—
971C22×Q8—471no—
972C22×D4—471no—
973C22×D4—471no—
974C22×D4—471no—
975C22×D4—471no—
976C22×D4—471no—
977C22×D4—471no—
978C22×D4—471no—
979C22×D4—471no—
980C22×D4—471no—
981C22×D4C22×D4711yescharacteristic
982C23×C4—471no—
983C23×C4—471no—
984C23×C4—471no—
985C23×C4—471no—
986C23×C4—471no—
987C23×C4C22×D4711yescharacteristic
988C23×C4C22×D4711yescharacteristic
989C23×C4C22×D4711yescharacteristic
990C23×C4C22×D4711yescharacteristic
991C23×C4C22×D4711yescharacteristic
992C23×C4C22×D4711yescharacteristic
993#126—944no—
994#126—944no—
995#124—944no—
996#124—944no—
997#123—944no—
998#123—944no—
999#121—944no—
1000#121—944no—
1001C4×Q8—1882no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4—944no—
1006C4×D4—944no—
1007C4×D4—944no—
1008C4×D4—1882no—
1009C4×D4—1882no—
1010C4×D4—1882no—
1011C4×D4—1882no—
1012C4×D4—1882no—
1013#117—1882no—
1014C2×C4⋊C4—471no—
1015C2×C4⋊C4—471no—
1016C2×C4⋊C4—471no—
1017C2×C4⋊C4—471no—
1018C2×C4⋊C4—471no—
1019C2×C4⋊C4—471no—
1020C2×C4⋊C4—471no—
1021C2×C4⋊C4—471no—
1022C2×C4⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
1036C2×C4⋊C4C22×D4711yescharacteristic
1037C2×C4⋊C4C22×D4711yescharacteristic
1038C2×C22⋊C4—471no—
1039C2×C22⋊C4—471no—
1040C2×C22⋊C4—471no—
1041C2×C22⋊C4—471no—
1042C2×C22⋊C4—471no—
1043C2×C22⋊C4—471no—
1044C2×C22⋊C4—471no—
1045C2×C22⋊C4—471no—
1046C2×C22⋊C4—471no—
1047C2×C22⋊C4—471no—
1048C2×C22⋊C4—471no—
1049C2×C22⋊C4—471no—
1050C2×C22⋊C4—471no—
1051C2×C22⋊C4—471no—
1052C2×C22⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
1077C2×C22⋊C4C22×D4711yescharacteristic
1078C2×C22⋊C4C22×D4711yescharacteristic
1079C2×C22⋊C4C22×D4711yescharacteristic
1080C2×C22⋊C4C22×D4711yescharacteristic
1081C2×C22⋊C4C22×D4711yescharacteristic
1082C2×C42—42no—
1083C2×C42—42no—
1084C2×C42—471no—
1085C2×C42—471no—
1086C2×C42—471no—
1087C2×C42—471no—
1088C2×C42—471no—
1089C2×C42—471no—
1090C2×C42—471no—
1091C2×C42—471no—
1092C2×C42—471no—
1093C2×C42—471no—
1094C2×C42—471no—
1095C2×C42—1882no—
1096C2×C42C22×D4711yescharacteristic
1097C2×C42C22×D4711yescharacteristic
1098C2×C42C22×D4711yescharacteristic
1099C2×C42C22×D4711yescharacteristic
1100C2×C42C22×D4711yescharacteristic
1101C2×C42C22×D4711yescharacteristic
1102C2×C42C22×D4711yescharacteristic
1103C2×C42C22×D4711yescharacteristic
1104C2×C42C22×D4711yescharacteristic
1105C2×C42C22×D4711yescharacteristic
1106C2×C42C22×D4711yescharacteristic
1107C2×C42C22×D4711yescharacteristic
1108C2×C42C22×D4711yescharacteristic
1109#95—471no—
1110#95—471no—
1111#95—471no—
1112#95—471no—
1113#95—471no—
1114#95—471no—
1115#95—471no—
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#95C22×D4711yescharacteristic
1144#95C22×D4711yescharacteristic
1145#95C22×D4711yescharacteristic
1146#95C22×D4711yescharacteristic
1147#95C22×D4711yescharacteristic
1148#95C22×D4711yescharacteristic
1149C24—471no—
1150C24—471no—
1151C24—471no—
1152C24C23×D4711yescharacteristic
1153C24C23×D4711yescharacteristic
1154#41—18816no—
1155C2×Q8—942no—
1156C2×Q8—942no—
1157C2×Q8—942no—
1158C2×Q8—1881no—
1159C2×Q8—1881no—
1160C2×Q8—1881no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—942no—
1165C2×D4—942no—
1166C2×D4—942no—
1167C2×D4—942no—
1168C2×D4—942no—
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—942no—
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—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
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—471no—
1219C22×C4—471no—
1220C22×C4—471no—
1221C22×C4—942no—
1222C22×C4—942no—
1223C22×C4—942no—
1224C22×C4—942no—
1225C22×C4—942no—
1226C22×C4—942no—
1227C22×C4—942no—
1228C22×C4—942no—
1229C22×C4—942no—
1230C22×C4—942no—
1231C22×C4—942no—
1232C22×C4—942no—
1233C22×C4—942no—
1234C22×C4—1881no—
1235C22×C4—1881no—
1236C22×C4#1062535014yes—
1237C22×C4C23×D4711yescharacteristic
1238C22×C4C23×D4711yescharacteristic
1239C22×C4C23×D4711yescharacteristic
1240C22×C4C23×D4711yescharacteristic
1241C22×C4C23×D4711yescharacteristic
1242C22×C4C23×D4711yescharacteristic
1243C22×C4C23×D4711yescharacteristic
1244C22×C4C23×D4711yescharacteristic
1245C22×C4C23×D4711yescharacteristic
1246C22×C4C23×D4711yescharacteristic
1247C22×C4C23×D4711yescharacteristic
1248C22×C4C23×D4711yescharacteristic
1249C22×C4C23×D4711yescharacteristic
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—474no—
1253C4⋊C4—942no—
1254C4⋊C4—942no—
1255C4⋊C4—942no—
1256C4⋊C4—942no—
1257C4⋊C4—942no—
1258C4⋊C4—942no—
1259C4⋊C4—942no—
1260C4⋊C4—942no—
1261C4⋊C4—942no—
1262C4⋊C4—942no—
1263C4⋊C4—1881no—
1264C4⋊C4—1881no—
1265C4⋊C4—1881no—
1266C4⋊C4—1881no—
1267C4⋊C4—1881no—
1268C4⋊C4—1881no—
1269C4⋊C4—1881no—
1270C4⋊C4—1881no—
1271C4⋊C4—1881no—
1272C4⋊C4—1881no—
1273C4⋊C4#1062535014yescomplemented
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—474no—
1280C22⋊C4—942no—
1281C22⋊C4—942no—
1282C22⋊C4—942no—
1283C22⋊C4—942no—
1284C22⋊C4—942no—
1285C22⋊C4—942no—
1286C22⋊C4—942no—
1287C22⋊C4—942no—
1288C22⋊C4—942no—
1289C22⋊C4—942no—
1290C22⋊C4—942no—
1291C22⋊C4—942no—
1292C22⋊C4—942no—
1293C22⋊C4—942no—
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—1881no—
1306C22⋊C4—1881no—
1307C22⋊C4—1881no—
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#1062535014yescomplemented
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—22no—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—41no—
1328C42—41no—
1329C42—41no—
1330C42—41no—
1331C42—942no—
1332C42—942no—
1333C42—942no—
1334C42—942no—
1335C42—942no—
1336C42—942no—
1337C42—942no—
1338C42—942no—
1339C42—942no—
1340C42—1881no—
1341C42—1881no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—472no—
1355C23—941no—
1356C23—941no—
1357C23—941no—
1358C23—941no—
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—
1375C23C2×#1062535012yes—
1376C23C2×#1062535012yes—
1377C23C24×D4711yescharacteristic
1378Q8—1884no—
1379Q8—1884no—
1380D4—28no—
1381D4—948no—
1382D4—1884no—
1383D4—1884no—
1384D4—1884no—
1385D4—1884no—
1386D4—1884no—
1387D4—1884no—
1388D4—1884no—
1389D4—1884no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—28no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—44no—
1424C2×C4—472no—
1425C2×C4—472no—
1426C2×C4—472no—
1427C2×C4—941no—
1428C2×C4—941no—
1429C2×C4—941no—
1430C2×C4—941no—
1431C2×C4—941no—
1432C2×C4—941no—
1433C2×C4—941no—
1434C2×C4—941no—
1435C2×C4—941no—
1436C2×C4—941no—
1437C2×C4—941no—
1438C2×C4—941no—
1439C2×C4—941no—
1440C2×C4—941no—
1441C2×C4—941no—
1442C2×C4—941no—
1443C2×C4—941no—
1444C2×C4—941no—
1445C2×C4—941no—
1446C2×C4—941no—
1447C2×C4—941no—
1448C2×C4—941no—
1449C2×C4—941no—
1450C2×C4—941no—
1451C2×C4—941no—
1452C2×C4—941no—
1453C2×C4—941no—
1454C2×C4—941no—
1455C2×C4—941no—
1456C2×C4—941no—
1457C2×C4—941no—
1458C2×C4—941no—
1459C2×C4—941no—
1460C2×C4—941no—
1461C2×C4—941no—
1462C2×C4—941no—
1463C2×C4—1884no—
1464C2×C4—1884no—
1465C2×C4—1884no—
1466C2×C4—1884no—
1467C2×C4—1884no—
1468C2×C4#41×D4712yes—
1469C2×C4#41×D4712yes—
1470C2×C4C2×#1062535012yes—
1471C2×C4C2×#1062535012yes—
1472C2×C4C2×#1062535012yes—
1473C2×C4C2×#1062535012yes—
1474C2×C4C2×#1062535012yes—
1475C2×C4C2×#1062535012yes—
1476C2×C4C2×#1062535012yes—
1477C2×C4#1309406912yes—
1478C2×C4#1309407012yes—
1479C22—22no—
1480C22—22no—
1481C22—22no—
1482C22—22no—
1483C22—22no—
1484C22—22no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—942no—
1494C22—942no—
1495C22—942no—
1496C22—1881no—
1497C22—1881no—
1498C22—1881no—
1499C22—1881no—
1500C22—1881no—
1501C22—1881no—
1502C22—1881no—
1503C22—1881no—
1504C22—1881no—
1505C22—1881no—
1506C22—1881no—
1507C22—1881no—
1508C22—1881no—
1509C22—1881no—
1510C22—1881no—
1511C22—1881no—
1512C22—1881no—
1513C22—1881no—
1514C22C2×#41×D4711yescharacteristic
1515C22C2×#41×D4711yescharacteristic
1516C22C22×#1062535011yescharacteristic
1517C22C22×#1062535011yescharacteristic
1518C22C22×#1062535011yescharacteristic
1519C22C2×#1309406911yescharacteristic
1520C22C2×#1309407011yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—942no—
1534C4—942no—
1535C4—942no—
1536C4—1881no—
1537C4—1881no—
1538C4—1881no—
1539C4—1881no—
1540C4—1881no—
1541C4—1881no—
1542C4—1881no—
1543C4—1881no—
1544C4—1881no—
1545C4—1881no—
1546C4#1568970614yes—
1547C2—42no—
1548C2—42no—
1549C2—3761no—
1550C2—3761no—
1551C2—1882no—
1552C2#2025668111yescharacteristic
1553C2#2025668411yescharacteristic
1554C2C2×#1568970611yescharacteristic
1555C2#2025699211yescharacteristic
1556C2#2025699211yescharacteristic
1557C2#2025699811yescharacteristic
1558C2#2025701411yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutator, socle, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC42×D4×C47C2
hypercenterC42×D4D47
hypocenterC47#34962
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
1. #20248879C2semidirect
2. #20248794C2semidirect
3. #20248662C2semidirect
4. #20248656C2semidirect
5. #20248632C2semidirect
6. #20248457C2semidirect
7. #20248448C2semidirect
8. #20248442C2semidirect
9. #20248046C2semidirect
10. #20248040C2semidirect
11. #20247439C2semidirect
12. #20247433C2semidirect
13. #20247325C2semidirect
14. #20247319C2semidirect
15. #20247280C2semidirect
16. #20247274C2semidirect
17. #20246662C2semidirect
18. #20246630C2semidirect
19. #20246604C2semidirect
20. #20246603C2semidirect
21. C4×#13094019C2semidirect
22. C4×#13094018C2semidirect
23. C4×#13094012C2semidirect
24. C4×#13094010C2semidirect
25. C4×#13094009C2semidirect
26. C4×#13094007C2semidirect
27. C4×#13093998C2semidirect
28. C4×#13093997C2semidirect
29. #20245878C2semidirect
30. C42×C22⋊D47C2semidirect
31. C42×D4×C47C2semidirect
472. C4⋊C4×C47#41semidirect
478. C22⋊C4×C47#41semidirect
529. (C2×D47)⋊C4#41semidirect
550. Dic47⋊C4#41semidirect
798. C42×D4D47semidirect
966. C47#34962semidirect
1273. C4⋊C4#10625350semidirect
1317. C22⋊C4#10625350semidirect

Maximal subgroups

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

subgroupindex
#202488792
#202487942
#202486622
#202486562
#202486322
#202484572
#202484482
#202484422
#202480462
#202480402
#202474392
#202474332
#202473252
#202473192
#202472802
#202472742
#202466622
#202466302
#202466042
#202466032
C4×#130940192
C4×#130940182
C4×#130940122
C4×#130940102
C4×#130940092
C4×#130940072
C4×#130939982
C4×#130939972
#202458782
C42×C22⋊D472
C42×D4×C472
#3496247