Finite Group Databasebeta

← C4×#15689798 #26376152

Subgroups — C4×#15689798 #26376152

Order 12032.

2732 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
1C2×#15689798C211yesmaximal, characteristic
2#20246516C211yesmaximal, characteristic, complemented
3#20246515C211yesmaximal, characteristic, complemented
4#20246512C211yesmaximal, characteristic, complemented
5#20246495C211yesmaximal, characteristic, complemented
6#20246470C211yesmaximal, characteristic, complemented
7#20246465C211yesmaximal, characteristic, complemented
8#20246387C211yesmaximal, characteristic, complemented
9#20246373C211yesmaximal, characteristic, complemented
10#20246366C211yesmaximal, characteristic
11#20246327C211yesmaximal, characteristic, complemented
12#20246321C211yesmaximal, characteristic, complemented
13#20246245C211yesmaximal, characteristic, complemented
14#20246243C211yesmaximal, characteristic, complemented
15#20246236C211yesmaximal, characteristic, complemented
16#20246232C211yesmaximal, characteristic, complemented
17C4×#13094017C211yesmaximal, characteristic, complemented
18C4×#13094010C211yesmaximal, characteristic, complemented
19C4×#13094004C211yesmaximal, characteristic, complemented
20C4×#13094002C211yesmaximal, characteristic, complemented
21C4×#13094009C211yesmaximal, characteristic, complemented
22C4×#13094009C211yesmaximal, characteristic, complemented
23C4×#13094006C211yesmaximal, characteristic, complemented
24C4×#13093994C211yesmaximal, characteristic
25C42×D188C211yesmaximal, characteristic, complemented
26C4×#13093986C211yesmaximal, characteristic, complemented
27C4×#13093981C211yesmaximal, characteristic, complemented
28C4×#13093982C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C4×#126×C47C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33#15689798C4116yesdirect product factor
34C2×#13094017C2211yescharacteristic
35C2×#13094010C2211yescharacteristic
36C2×#13094009C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094006C2211yescharacteristic
39C2×#13094004C2211yescharacteristic
40C2×#13094002C2211yescharacteristic
41C2×#13093994C2211yescharacteristic
42C2×C4×Dic94C2211yescharacteristic, complemented
43C2×C4×D188C2211yescharacteristic
44C2×C4×D188C2211yescharacteristic
45C2×C4×D188C2211yescharacteristic
46C2×C4×D188C2211yescharacteristic
47C2×#13093986C2211yescharacteristic
48C2×#13093986C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×#13093982C2211yescharacteristic
51C2×#13093982C2211yescharacteristic
52C2×#13093981C2211yescharacteristic
53C2×#13093981C2211yescharacteristic
54C2×C22⋊C4×D47C2211yescharacteristic
55C2×C22⋊C4×D47C2211yescharacteristic
56C2×C22⋊C4×D47C2211yescharacteristic
57C2×C22⋊C4×D47C2211yescharacteristic
58C2×C42×D47C2211yescharacteristic
59C2×C42×D47C2211yescharacteristic
60C2×C42×D47C2211yescharacteristic
61C2×C42×D47C2211yescharacteristic
62C2×C42×D47C2211yescharacteristic, complemented
63#15689028C2211yescharacteristic, complemented
64#15689027C2211yescharacteristic, complemented
65#15689027C2211yescharacteristic, complemented
66#15689023C2211yescharacteristic
67#15689022C2211yescharacteristic, complemented
68#15689018C2211yescharacteristic, complemented
69#15689017C2211yescharacteristic
70#15689017C2211yescharacteristic
71#15689016C2211yescharacteristic
72#15689016C2211yescharacteristic
73#15689016C2211yescharacteristic
74#15689015C2211yescharacteristic, complemented
75#15689013C2211yescharacteristic, complemented
76#15689013C2211yescharacteristic, complemented
77#15689012C2211yescharacteristic, complemented
78#15689012C2211yescharacteristic, complemented
79#15689012C2211yescharacteristic, complemented
80#15689011C2211yescharacteristic
81#15689011C2211yescharacteristic
82#15689010C2211yescharacteristic, complemented
83#15689010C2211yescharacteristic, complemented
84#15689010C2211yescharacteristic, complemented
85#15689009C2211yescharacteristic, complemented
86#15689009C2211yescharacteristic, complemented
87#15689009C2211yescharacteristic, complemented
88#15689008C2211yescharacteristic, complemented
89#15689008C2211yescharacteristic, complemented
90#15689008C2211yescharacteristic, complemented
91#15689006C2211yescharacteristic, complemented
92#15689005C2211yescharacteristic, complemented
93#15689005C2211yescharacteristic, complemented
94#15689005C2211yescharacteristic, complemented
95#15689001C2211yescharacteristic
96#15689001C2211yescharacteristic
97#15689001C2211yescharacteristic
98#15689001C2211yescharacteristic
99#15689000C2211yescharacteristic
100#15688999C2211yescharacteristic
101#15688998C2211yescharacteristic
102#15688997C2211yescharacteristic
103#15688997C2211yescharacteristic
104#15688997C2211yescharacteristic
105#15688997C2211yescharacteristic
106#15688997C2211yescharacteristic
107#15688997C2211yescharacteristic, complemented
108#15688994C2211yescharacteristic
109#15688994C2211yescharacteristic
110#15688994C2211yescharacteristic
111#15688990C2211yescharacteristic, complemented
112#15688987C2211yescharacteristic, complemented
113#15688985C2211yescharacteristic
114#15688985C2211yescharacteristic
115#15688985C2211yescharacteristic, complemented
116#15688982C2211yescharacteristic
117#15688980C2211yescharacteristic
118#15688978C2211yescharacteristic
119C4⋊C4×Dic47C2211yescharacteristic, complemented
120C4⋊C4×Dic47C2211yescharacteristic, complemented
121C4⋊C4×Dic47C2211yescharacteristic, complemented
122C4⋊C4×Dic47C2211yescharacteristic, complemented
123C4×Dic47⋊C4C2211yescharacteristic, complemented
124C4×Dic47⋊C4C2211yescharacteristic, complemented
125C4×Dic47⋊C4C2211yescharacteristic, complemented
126C4×Dic47⋊C4C2211yescharacteristic, complemented
127C4×Dic47⋊C4C2211yescharacteristic, complemented
128C4×C4⋊Dic47C2211yescharacteristic, complemented
129C4×C4⋊Dic47C2211yescharacteristic, complemented
130C4×C4⋊Dic47C2211yescharacteristic, complemented
131C4×C4⋊Dic47C2211yescharacteristic, complemented
132C22⋊C4×Dic47C2211yescharacteristic
133C22⋊C4×Dic47C2211yescharacteristic
134C22⋊C4×Dic47C2211yescharacteristic
135C22⋊C4×Dic47C2211yescharacteristic
136C4×(C2×D47)⋊C4C2211yescharacteristic
137C4×(C2×D47)⋊C4C2211yescharacteristic
138C4×(C2×D47)⋊C4C2211yescharacteristic
139C4×(C2×D47)⋊C4C2211yescharacteristic
140C4×(C2×D47)⋊C4C2211yescharacteristic
141C4×(C2×D47)⋊C4C2211yescharacteristic
142C4×(C2×D47)⋊C4C2211yescharacteristic
143C4×(C2×D47)⋊C4C2211yescharacteristic
144C4×(C2×D47)⋊C4C2211yescharacteristic
145C4×(C2×D47)⋊C4C2211yescharacteristic
146C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
148C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
150C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
151C4×C22⋊Dic47C2211yescharacteristic
152C4×C22⋊Dic47C2211yescharacteristic
153#15688970C2211yescharacteristic
154#15688970C2211yescharacteristic
155#15688970C2211yescharacteristic
156#15688970C2211yescharacteristic
157#15688970C2211yescharacteristic
158#15688970C2211yescharacteristic
159#15688970C2211yescharacteristic
160#15688970C2211yescharacteristic
161#15688970C2211yescharacteristic, complemented
162#15688970C2211yescharacteristic, complemented
163#15688969C2211yescharacteristic, complemented
164#15688969C2211yescharacteristic, complemented
165#15688968C2211yescharacteristic, complemented
166#15688968C2211yescharacteristic, complemented
167#95×D47C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171C42×Dic47C2211yescharacteristic, complemented
172C42×Dic47C2211yescharacteristic, complemented
173C2×#126×C47C2211yescharacteristic
174C47×#388C2211yescharacteristic
175C47×#388C2211yescharacteristic
176C47×#388C2211yescharacteristic
177C47×#387C2211yescharacteristic, complemented
178C47×#387C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#383C2211yescharacteristic, complemented
181C4×C4⋊C4×C47C2211yescharacteristic, complemented
182C4×C4⋊C4×C47C2211yescharacteristic, complemented
183C4×C4⋊C4×C47C2211yescharacteristic, complemented
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C43×C47C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C22×C4×D47—24no—
195C22×C4×D47—24no—
196C22×C4×D47—42no—
197C22×C4×D47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212#13094017C2×C418yescomplemented
213#13094010C2×C418yescomplemented
214#13094009C2×C418yescomplemented
215#13094009C2×C418yescomplemented
216#13094006C2×C418yescomplemented
217#13094004C2×C418yescomplemented
218#13094002C2×C418yescomplemented
219#13093994C2×C418yes—
220C4×Dic94—42no—
221C4×D188—24no—
222C4×D188—24no—
223C4×D188—24no—
224C4×D188C2×C418yescomplemented
225#13093986—24no—
226#13093986C2×C418yescomplemented
227C4×C22⋊D47—42no—
228#13093982—24no—
229#13093982C2×C418yescomplemented
230#13093981—24no—
231#13093981C2×C418yescomplemented
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C22⋊C4×D47—24no—
277C22⋊C4×D47—24no—
278C22⋊C4×D47C2×C418yescomplemented
279C22⋊C4×D47C2×C418yescomplemented
280C2×C4×Dic47C2311yescharacteristic
281C2×C4×Dic47C2311yescharacteristic
282C2×C4×Dic47C2311yescharacteristic
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
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C42×D47—24no—
304C42×D47—24no—
305C42×D47—42no—
306C42×D47—42no—
307C42×D47—42no—
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
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C23×C4×C47C2311yescharacteristic
341#126×C47C2×C418yescomplemented
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊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×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
363C2×C42×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376C24×C47C2411yescharacteristic
377C23×D47—22no—
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47C22×C414yes—
384C23×D47C2411yescharacteristic
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C22×C4×C47—22no—
388C22×C4×C47—22no—
389C22×C4×C47—22no—
390C22×C4×C47C2411yescharacteristic
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
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
404C2×C22⋊D47—41no—
405C2×C22⋊D47—41no—
406C2×C22⋊D47C22×C414yes—
407C22×Dic47—22no—
408C22×Dic47—22no—
409C22×Dic47—41no—
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C2×D188—22no—
424C2×D188—22no—
425C2×D188—22no—
426C2×D188—22no—
427C2×D188C22×C414yes—
428C2×D188C22×C414yes—
429C2×C4×D47—22no—
430C2×C4×D47—22no—
431C2×C4×D47—22no—
432C2×C4×D47—22no—
433C2×C4×D47—22no—
434C2×C4×D47—22no—
435C2×C4×D47—22no—
436C2×C4×D47—22no—
437C2×C4×D47—22no—
438C2×C4×D47—22no—
439C2×C4×D47—22no—
440C2×C4×D47—22no—
441C2×C4×D47—22no—
442C2×C4×D47—22no—
443C2×C4×D47—22no—
444C2×C4×D47—22no—
445C2×C4×D47—22no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—416no—
455C2×C4×D47—41no—
456C2×C4×D47—41no—
457C2×C4×D47—41no—
458C2×C4×D47—41no—
459C2×C4×D47—41no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47C22×C414yes—
469C2×C4×D47C22×C414yes—
470C2×C4×D47C22×C414yes—
471C2×C4×D47C22×C414yes—
472C2×C4×D47C22×C414yescomplemented
473C2×C4×D47#4114yes—
474C2×C4×D47#4114yes—
475C2×Dic94—41no—
476C2×Dic94—41no—
477C2×Dic94C22×C414yescomplemented
478C4⋊C4×C47—22no—
479C4⋊C4×C47—22no—
480C4⋊C4×C47—41no—
481C4⋊C4×C47C22×C414yescomplemented
482C4⋊C4×C47C22×C414yescomplemented
483C4⋊C4×C47C22×C414yescomplemented
484C22⋊C4×C47—22no—
485C22⋊C4×C47—22no—
486C22⋊C4×C47—41no—
487C22⋊C4×C47C22×C414yes—
488C22⋊C4×C47C22×C414yes—
489C22⋊C4×C47C22×C414yes—
490C42×C47—22no—
491C42×C47—22no—
492C42×C47—22no—
493C42×C47—22no—
494C42×C47—22no—
495C42×C47—22no—
496C42×C47—22no—
497C42×C47—22no—
498C42×C47—41no—
499C42×C47C22×C414yescomplemented
500C22⋊Dic47—22no—
501C22⋊Dic47—22no—
502C22⋊Dic47—41no—
503C22⋊Dic47C22×C414yes—
504C22⋊Dic47C22×C414yes—
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—41no—
516(C2×D47)⋊C4—41no—
517(C2×D47)⋊C4C22×C414yes—
518(C2×D47)⋊C4C22×C414yes—
519(C2×D47)⋊C4C22×C414yes—
520(C2×D47)⋊C4C22×C414yes—
521(C2×D47)⋊C4C22×C414yes—
522(C2×D47)⋊C4C22×C414yes—
523(C2×D47)⋊C4C22×C414yescomplemented
524(C2×D47)⋊C4C22×C414yescomplemented
525(C2×D47)⋊C4C22×C414yescomplemented
526(C2×D47)⋊C4#4114yes—
527(C2×D47)⋊C4#4114yes—
528C4⋊Dic47—22no—
529C4⋊Dic47—22no—
530C4⋊Dic47—22no—
531C4⋊Dic47—22no—
532C4⋊Dic47—41no—
533C4⋊Dic47C22×C414yescomplemented
534C4⋊Dic47C22×C414yescomplemented
535Dic47⋊C4—22no—
536Dic47⋊C4—22no—
537Dic47⋊C4—41no—
538Dic47⋊C4—41no—
539Dic47⋊C4—41no—
540Dic47⋊C4—41no—
541Dic47⋊C4C22×C414yescomplemented
542Dic47⋊C4C22×C414yescomplemented
543Dic47⋊C4C22×C414yescomplemented
544C4×Dic47—22no—
545C4×Dic47—22no—
546C4×Dic47—22no—
547C4×Dic47—22no—
548C4×Dic47—22no—
549C4×Dic47—22no—
550C4×Dic47—22no—
551C4×Dic47—22no—
552C4×Dic47—22no—
553C4×Dic47—22no—
554C4×Dic47—22no—
555C4×Dic47—22no—
556C4×Dic47—22no—
557C4×Dic47—41no—
558C4×Dic47—41no—
559C4×Dic47—41no—
560C4×Dic47—41no—
561C4×Dic47—41no—
562C4×Dic47—41no—
563C4×Dic47—41no—
564C4×Dic47—41no—
565C4×Dic47C22×C414yescomplemented
566C4×Dic47C22×C414yescomplemented
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47C23×C412yes—
574C23×C47C2511yescharacteristic
575C22×D47—21no—
576C22×D47—21no—
577C22×D47—21no—
578C22×D47—21no—
579C22×D47—21no—
580C22×D47—21no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—21no—
584C22×D47—21no—
585C22×D47—21no—
586C22×D47—21no—
587C22×D47—21no—
588C22×D47—21no—
589C22×D47—28no—
590C22×D47—28no—
591C22×D47—44no—
592C22×D47—44no—
593C22×D47—44no—
594C22×D47—44no—
595C22×D47—44no—
596C22×D47C23×C412yes—
597C22×D47C23×C412yes—
598C22×D47C23×C412yes—
599C22×D47C2×#4112yes—
600C22×D47C2×#4112yes—
601C22×D47C2×#4112yes—
602C22×D47C2×#4112yes—
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—21no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—44no—
635C2×C4×C47C23×C412yes—
636C2×C4×C47C23×C412yes—
637C2×C4×C47C23×C412yes—
638C2×C4×C47C23×C412yes—
639C2×C4×C47C23×C412yes—
640C2×C4×C47C23×C412yes—
641C2×C4×C47C2×#4112yes—
642C2×C4×C47C2×#4112yes—
643C2×C4×C47C2×#4112yes—
644C2×C4×C47C2×#4112yes—
645C2×C4×C47H(5,𝔽2)12yes—
646C22⋊D47—44no—
647C2×Dic47—21no—
648C2×Dic47—21no—
649C2×Dic47—21no—
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—44no—
678C2×Dic47C23×C412yes—
679C2×Dic47C23×C412yes—
680C2×Dic47C23×C412yes—
681C2×Dic47C23×C412yes—
682C2×Dic47C23×C412yes—
683C2×Dic47C2×#4112yes—
684C2×Dic47C2×#4112yes—
685C2×Dic47C2×#4112yes—
686C2×Dic47C2×#4112yes—
687D188—28no—
688D188—28no—
689C4×D47—28no—
690C4×D47—28no—
691C4×D47—28no—
692C4×D47—28no—
693C4×D47—44no—
694C4×D47—44no—
695C4×D47—44no—
696C4×D47—44no—
697C4×D47—44no—
698C4×D47—44no—
699C4×D47—44no—
700C4×D47—44no—
701C4×D47—44no—
702C4×D47—44no—
703C4×D47—44no—
704Dic94—44no—
705C4×#551—471nomaximal, Sylow
706C22×C47—22no—
707C22×C47—22no—
708C22×C47—22no—
709C22×C47—41no—
710C22×C47—41no—
711C22×C47—41no—
712C22×C47—41no—
713C22×C47C24×C411yescharacteristic
714C22×C47C22×#4111yescharacteristic
715C22×C47C22×#4111yescharacteristic
716C22×C47C22×#4111yescharacteristic
717C22×C47C22×#4111yescharacteristic
718C22×C47C2×H(5,𝔽2)11yescharacteristic
719C22×C47#58511yescharacteristic
720C2×D47—22no—
721C2×D47—22no—
722C2×D47—22no—
723C2×D47—22no—
724C2×D47—22no—
725C2×D47—22no—
726C2×D47—22no—
727C2×D47—22no—
728C2×D47—22no—
729C2×D47—22no—
730C2×D47—22no—
731C2×D47—22no—
732C2×D47—22no—
733C2×D47—22no—
734C2×D47—22no—
735C2×D47—416no—
736C2×D47—41no—
737C2×D47—41no—
738C2×D47—41no—
739C2×D47—41no—
740C2×D47C4×#4114yes—
741C2×D47C4×#4114yes—
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—41no—
755C4×C47#55114yescomplemented
756Dic47—22no—
757Dic47—22no—
758Dic47—22no—
759Dic47—22no—
760Dic47—22no—
761Dic47—22no—
762Dic47—22no—
763Dic47—22no—
764Dic47—22no—
765Dic47—41no—
766Dic47—41no—
767Dic47—41no—
768Dic47—41no—
769C2×#551—471no—
770#2374—471no—
771#2373—471no—
772#2373—471no—
773#2372—471no—
774#2368—471no—
775#2368—471no—
776#2359—471no—
777#2359—471no—
778#2358—471no—
779#2353—471no—
780#2353—471no—
781#2343—471no—
782#2343—471no—
783#2342—471no—
784#2342—471no—
785C4×#126—471no—
786C4×#126D4711yescharacteristic, complemented
787C4×#124—471no—
788C4×C22⋊Q8—471no—
789C4×C22⋊Q8—471no—
790C4×#123—471no—
791C4×#123—471no—
792C4×#123—471no—
793C4×#120—471no—
794C42×D4—471no—
795C42×D4—471no—
796C4×#117—471no—
797C4×#117—471no—
798C2×C4×C22⋊C4—471no—
799C2×C4×C22⋊C4—471no—
800C2×C47—42no—
801C2×C47C2×C4×#4111yescharacteristic
802C2×C47C2×C4×#4111yescharacteristic
803C2×C47C4×H(5,𝔽2)11yescharacteristic
804C2×C47C2×#55111yescharacteristic
805C2×C47#347511yescharacteristic
806C2×C47#347511yescharacteristic
807C2×C47#348111yescharacteristic
808D47—24no—
809D47—24no—
810D47—42no—
811C24×C4—471no—
812#551—4716no—
813C2×#126—471no—
814C2×#126C2×D4711yescharacteristic
815C2×#124—471no—
816C2×#123—471no—
817C2×#123—471no—
818C2×#123—471no—
819C2×C22⋊Q8—471no—
820C2×C22⋊Q8—471no—
821C2×#120—471no—
822C2×C4×Q8—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×D4—471no—
830C2×#117—471no—
831C2×#117—471no—
832C2×#117—471no—
833C2×#117—471no—
834C22×C22⋊C4—471no—
835C22×C22⋊C4—471no—
836C22×C22⋊C4—471no—
837C22×C22⋊C4—471no—
838C22×C42—471no—
839C22×C42—471no—
840C22×C42—471no—
841C22×C42—471no—
842C22×C42—471no—
843#391—471no—
844#391—471no—
845#391—471no—
846#390—471no—
847#389—471no—
848#389—471no—
849#388—471no—
850#388—471no—
851#388—471no—
852#388—471no—
853#388—471no—
854#388—471no—
855#388—471no—
856#388—471no—
857#388—471no—
858#388—471no—
859#388—471no—
860#388—471no—
861#388—471no—
862#388C2×D4711yescharacteristic
863#388C2×D4711yescharacteristic
864#388C2×D4711yescharacteristic
865#387—471no—
866#387—471no—
867#387—471no—
868#387—471no—
869#387—471no—
870#387—471no—
871#387—471no—
872#387—471no—
873#387—471no—
874#387—471no—
875#387—471no—
876#387—471no—
877#387—471no—
878#387C2×D4711yescharacteristic, complemented
879#387C2×D4711yescharacteristic, complemented
880#387C2×D4711yescharacteristic, complemented
881#386—471no—
882#386—471no—
883#386—471no—
884#386—471no—
885#386—471no—
886#386—471no—
887#385—471no—
888#385—471no—
889#385—471no—
890#385—471no—
891#385—471no—
892#385—471no—
893#385—471no—
894#385—471no—
895#385—471no—
896#385—471no—
897#383—471no—
898#383C2×D4711yescharacteristic, complemented
899#382—471no—
900#381—471no—
901#381—471no—
902#381—471no—
903#380—471no—
904#380—471no—
905#379—471no—
906C4×C4⋊C4—471no—
907C4×C4⋊C4—471no—
908C4×C4⋊C4—471no—
909C4×C4⋊C4—471no—
910C4×C4⋊C4—471no—
911C4×C4⋊C4—471no—
912C4×C4⋊C4—471no—
913C4×C4⋊C4—471no—
914C4×C4⋊C4—471no—
915C4×C4⋊C4—471no—
916C4×C4⋊C4—471no—
917C4×C4⋊C4—471no—
918C4×C4⋊C4—471no—
919C4×C4⋊C4C2×D4711yescharacteristic, complemented
920C4×C4⋊C4C2×D4711yescharacteristic, complemented
921C4×C4⋊C4C2×D4711yescharacteristic, complemented
922C4×C22⋊C4—471no—
923C4×C22⋊C4—471no—
924C4×C22⋊C4—471no—
925C4×C22⋊C4—471no—
926C4×C22⋊C4—471no—
927C4×C22⋊C4—471no—
928C4×C22⋊C4—471no—
929C4×C22⋊C4—471no—
930C4×C22⋊C4—471no—
931C4×C22⋊C4—471no—
932C4×C22⋊C4—471no—
933C4×C22⋊C4—471no—
934C4×C22⋊C4—471no—
935C4×C22⋊C4—471no—
936C4×C22⋊C4—471no—
937C4×C22⋊C4—471no—
938C4×C22⋊C4—471no—
939C4×C22⋊C4—471no—
940C4×C22⋊C4—471no—
941C4×C22⋊C4—471no—
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⋊C4C2×D4711yescharacteristic
954C4×C22⋊C4C2×D4711yescharacteristic
955C4×C22⋊C4C2×D4711yescharacteristic
956#376—471no—
957#376—471no—
958#376—471no—
959#376—471no—
960C2×#95—471no—
961C2×#95—471no—
962C2×#95—471no—
963C2×#95—471no—
964C43—471no—
965C43—471no—
966C43C2×D4711yescharacteristic, complemented
967C47C4×#55111yescharacteristic, complemented, Sylow
968C25—471no—
969C22×Q8—471no—
970C22×D4—471no—
971C22×D4—471no—
972C22×D4—471no—
973C23×C4—471no—
974C23×C4—471no—
975C23×C4—471no—
976C23×C4—471no—
977C23×C4—471no—
978C23×C4—471no—
979C23×C4—471no—
980C23×C4—471no—
981C23×C4—471no—
982C23×C4—471no—
983C23×C4—471no—
984C23×C4—471no—
985C23×C4—471no—
986C23×C4—471no—
987C23×C4—471no—
988C23×C4—471no—
989C23×C4—944no—
990C23×C4—944no—
991C23×C4—1882no—
992C23×C4C22×D4711yescharacteristic
993#126—478no—
994#126C4×D4718yescomplemented
995#124—478no—
996#123—478no—
997#123—478no—
998#123—478no—
999C22⋊Q8—478no—
1000C22⋊Q8—478no—
1001#120—478no—
1002C4×Q8—1882no—
1003C4×D4—478no—
1004C4×D4—478no—
1005C4×D4—944no—
1006C4×D4—944no—
1007C4×D4—944no—
1008C4×D4—944no—
1009C4×D4—1882no—
1010#117—478no—
1011#117—478no—
1012#117—944no—
1013#117—944no—
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⋊C4C22×D4711yescharacteristic
1031C2×C4⋊C4C22×D4711yescharacteristic
1032C2×C4⋊C4C22×D4711yescharacteristic
1033C2×C4⋊C4C22×D4711yescharacteristic
1034C2×C4⋊C4C22×D4711yescharacteristic
1035C2×C4⋊C4C22×D4711yescharacteristic
1036C2×C22⋊C4—471no—
1037C2×C22⋊C4—471no—
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—478no—
1050C2×C22⋊C4—478no—
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—944no—
1067C2×C22⋊C4—944no—
1068C2×C22⋊C4C22×D4711yescharacteristic
1069C2×C22⋊C4C22×D4711yescharacteristic
1070C2×C22⋊C4C22×D4711yescharacteristic
1071C2×C22⋊C4C22×D4711yescharacteristic
1072C2×C22⋊C4C22×D4711yescharacteristic
1073C2×C22⋊C4C22×D4711yescharacteristic
1074C2×C42—471no—
1075C2×C42—471no—
1076C2×C42—471no—
1077C2×C42—471no—
1078C2×C42—471no—
1079C2×C42—471no—
1080C2×C42—471no—
1081C2×C42—471no—
1082C2×C42—471no—
1083C2×C42—471no—
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—471no—
1096C2×C42—471no—
1097C2×C42—944no—
1098C2×C42—944no—
1099C2×C42—1882no—
1100C2×C42—1882no—
1101C2×C42—1882no—
1102C2×C42C22×D4711yescharacteristic
1103C2×C42C22×D4711yescharacteristic
1104C2×C42C22×D4711yescharacteristic
1105C2×C42C22×D4711yescharacteristic
1106C2×C42C22×D4711yescharacteristic
1107C2×C42C22×D4711yescharacteristic
1108C2×C42C22×D4711yescharacteristic
1109C2×C42C22×D4711yescharacteristic
1110C2×C42C22×D4711yescharacteristic
1111C2×C42C22×D4711yescharacteristic
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#95—471no—
1144#95C22×D4711yescharacteristic
1145#95C22×D4711yescharacteristic
1146#95C22×D4711yescharacteristic
1147#95C22×D4711yescharacteristic
1148#95C22×D4711yescharacteristic
1149#95C22×D4711yescharacteristic
1150#95C22×D4711yescharacteristic
1151#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156C24—471no—
1157C24—471no—
1158C24—471no—
1159C24—474no—
1160C24—942no—
1161C24—942no—
1162C24—942no—
1163C24—942no—
1164C24—1881no—
1165C24—1881no—
1166C24C23×D4711yescharacteristic
1167C2×Q8—474no—
1168C2×Q8—1881no—
1169C2×Q8—1881no—
1170C2×D4—474no—
1171C2×D4—474no—
1172C2×D4—474no—
1173C2×D4—942no—
1174C2×D4—942no—
1175C2×D4—942no—
1176C2×D4—942no—
1177C2×D4—1881no—
1178C2×D4—1881no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—471no—
1183C22×C4—471no—
1184C22×C4—471no—
1185C22×C4—471no—
1186C22×C4—471no—
1187C22×C4—471no—
1188C22×C4—471no—
1189C22×C4—471no—
1190C22×C4—471no—
1191C22×C4—474no—
1192C22×C4—474no—
1193C22×C4—474no—
1194C22×C4—474no—
1195C22×C4—474no—
1196C22×C4—474no—
1197C22×C4—474no—
1198C22×C4—471no—
1199C22×C4—471no—
1200C22×C4—471no—
1201C22×C4—471no—
1202C22×C4—942no—
1203C22×C4—942no—
1204C22×C4—942no—
1205C22×C4—942no—
1206C22×C4—942no—
1207C22×C4—942no—
1208C22×C4—942no—
1209C22×C4—942no—
1210C22×C4—942no—
1211C22×C4—942no—
1212C22×C4—942no—
1213C22×C4—942no—
1214C22×C4—942no—
1215C22×C4—942no—
1216C22×C4—942no—
1217C22×C4—942no—
1218C22×C4—942no—
1219C22×C4—942no—
1220C22×C4—942no—
1221C22×C4—942no—
1222C22×C4—942no—
1223C22×C4—942no—
1224C22×C4—942no—
1225C22×C4—942no—
1226C22×C4—942no—
1227C22×C4—942no—
1228C22×C4—942no—
1229C22×C4—1881no—
1230C22×C4—1881no—
1231C22×C4—1881no—
1232C22×C4—1881no—
1233C22×C4—1881no—
1234C22×C4—1881no—
1235C22×C4—1881no—
1236C22×C4—1881no—
1237C22×C4—1881no—
1238C22×C4—1881no—
1239C22×C4—1881no—
1240C22×C4—1881no—
1241C22×C4—1881no—
1242C22×C4—18816no—
1243C22×C4—1881no—
1244C22×C4C23×D4711yescharacteristic
1245C22×C4C23×D4711yescharacteristic
1246C22×C4C23×D4711yescharacteristic
1247C22×C4C23×D4711yescharacteristic
1248C22×C4C23×D4711yescharacteristic
1249C22×C4C23×D4711yescharacteristic
1250C22×C4C23×D4711yescharacteristic
1251C22×C4C23×D4711yescharacteristic
1252C22×C4C23×D4711yescharacteristic
1253C22×C4C23×D4711yescharacteristic
1254C22×C4C23×D4711yescharacteristic
1255C22×C4C23×D4711yescharacteristic
1256C22×C4C23×D4711yescharacteristic
1257C22×C4C23×D4711yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—41no—
1261C4⋊C4—474no—
1262C4⋊C4—474no—
1263C4⋊C4—474no—
1264C4⋊C4—474no—
1265C4⋊C4—474no—
1266C4⋊C4—942no—
1267C4⋊C4—942no—
1268C4⋊C4—942no—
1269C4⋊C4—942no—
1270C4⋊C4—942no—
1271C4⋊C4—942no—
1272C4⋊C4—1881no—
1273C4⋊C4—1881no—
1274C4⋊C4—1881no—
1275C4⋊C4—1881no—
1276C4⋊C4—1881no—
1277C4⋊C4C2×C4×D4714yescomplemented
1278C4⋊C4C2×C4×D4714yescomplemented
1279C4⋊C4C2×C4×D4714yescomplemented
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—41no—
1283C22⋊C4—474no—
1284C22⋊C4—474no—
1285C22⋊C4—474no—
1286C22⋊C4—474no—
1287C22⋊C4—474no—
1288C22⋊C4—474no—
1289C22⋊C4—474no—
1290C22⋊C4—474no—
1291C22⋊C4—474no—
1292C22⋊C4—474no—
1293C22⋊C4—474no—
1294C22⋊C4—474no—
1295C22⋊C4—474no—
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⋊C4C2×C4×D4714yes—
1312C22⋊C4C2×C4×D4714yes—
1313C22⋊C4C2×C4×D4714yes—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—41no—
1323C42—474no—
1324C42—474no—
1325C42—942no—
1326C42—942no—
1327C42—942no—
1328C42—942no—
1329C42—942no—
1330C42—942no—
1331C42—942no—
1332C42—942no—
1333C42—942no—
1334C42—942no—
1335C42—942no—
1336C42—942no—
1337C42—942no—
1338C42—1881no—
1339C42—1881no—
1340C42—1881no—
1341C42—1881no—
1342C42—1881no—
1343C42—1881no—
1344C42—1881no—
1345C42—1881no—
1346C42C2×C4×D4714yescomplemented
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—472no—
1354C23—472no—
1355C23—472no—
1356C23—472no—
1357C23—472no—
1358C23—472no—
1359C23—472no—
1360C23—948no—
1361C23—948no—
1362C23—941no—
1363C23—941no—
1364C23—941no—
1365C23—941no—
1366C23—941no—
1367C23—941no—
1368C23—941no—
1369C23—941no—
1370C23—941no—
1371C23—941no—
1372C23—941no—
1373C23—941no—
1374C23—941no—
1375C23—941no—
1376C23—1884no—
1377C23—1884no—
1378C23—1884no—
1379C23—1884no—
1380C23—1884no—
1381C23C22×C4×D4712yes—
1382C23C24×D4711yescharacteristic
1383Q8—1884no—
1384D4—948no—
1385D4—948no—
1386D4—1884no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
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—21no—
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—44no—
1419C2×C4—472no—
1420C2×C4—472no—
1421C2×C4—472no—
1422C2×C4—472no—
1423C2×C4—472no—
1424C2×C4—472no—
1425C2×C4—472no—
1426C2×C4—472no—
1427C2×C4—472no—
1428C2×C4—948no—
1429C2×C4—948no—
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—948no—
1449C2×C4—948no—
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—1884no—
1463C2×C4—1884no—
1464C2×C4—1884no—
1465C2×C4—1884no—
1466C2×C4—1884no—
1467C2×C4—1884no—
1468C2×C4—1884no—
1469C2×C4—1884no—
1470C2×C4—1884no—
1471C2×C4—1884no—
1472C2×C4—1884no—
1473C2×C4—1884no—
1474C2×C4C22×C4×D4712yes—
1475C2×C4C22×C4×D4712yes—
1476C2×C4C22×C4×D4712yes—
1477C2×C4C22×C4×D4712yes—
1478C2×C4C22×C4×D4712yes—
1479C2×C4C22×C4×D4712yes—
1480C2×C4#41×D4712yes—
1481C2×C4#41×D4712yes—
1482C2×C4#41×D4712yes—
1483C2×C4#41×D4712yes—
1484C2×C4#1309407012yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—474no—
1493C22—474no—
1494C22—942no—
1495C22—942no—
1496C22—942no—
1497C22—942no—
1498C22—942no—
1499C22—942no—
1500C22—942no—
1501C22—942no—
1502C22—942no—
1503C22—942no—
1504C22—942no—
1505C22—942no—
1506C22—942no—
1507C22—942no—
1508C22—942no—
1509C22—18816no—
1510C22—1881no—
1511C22—1881no—
1512C22—1881no—
1513C22—1881no—
1514C22C23×C4×D4711yescharacteristic
1515C22C2×#41×D4711yescharacteristic
1516C22C2×#41×D4711yescharacteristic
1517C22C2×#41×D4711yescharacteristic
1518C22C2×#41×D4711yescharacteristic
1519C22C2×#1309407011yescharacteristic
1520C22#1568995911yescharacteristic
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—41no—
1534C4—942no—
1535C4—942no—
1536C4—942no—
1537C4—942no—
1538C4—942no—
1539C4—942no—
1540C4—942no—
1541C4—942no—
1542C4—942no—
1543C4—1881no—
1544C4—1881no—
1545C4—1881no—
1546C4—1881no—
1547C4#1568979814yesdirect product factor
1548C2—42no—
1549C2—944no—
1550C2—944no—
1551C2—1882no—
1552C2C4×#41×D4711yescharacteristic
1553C2C4×#41×D4711yescharacteristic
1554C2C4×#1309407011yescharacteristic
1555C2C2×#1568979811yescharacteristic
1556C2#2025694011yescharacteristic
1557C2#2025694411yescharacteristic
1558C2#2025699411yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC4×#126×C47C2
socle, cosocleC23×C47C25
prime radicalC2×#13093994C22
hypercenterC4×#126D47
hypocenterC47C4×#551
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C4×#126

Complements

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

NH ≅ G/Ntype
2. #20246516C2semidirect
3. #20246515C2semidirect
4. #20246512C2semidirect
5. #20246495C2semidirect
6. #20246470C2semidirect
7. #20246465C2semidirect
8. #20246387C2semidirect
9. #20246373C2semidirect
11. #20246327C2semidirect
12. #20246321C2semidirect
13. #20246245C2semidirect
14. #20246243C2semidirect
15. #20246236C2semidirect
16. #20246232C2semidirect
17. C4×#13094017C2semidirect
18. C4×#13094010C2semidirect
19. C4×#13094004C2semidirect
20. C4×#13094002C2semidirect
21. C4×#13094009C2semidirect
22. C4×#13094009C2semidirect
23. C4×#13094006C2semidirect
25. C42×D188C2semidirect
26. C4×#13093986C2semidirect
27. C4×#13093981C2semidirect
28. C4×#13093982C2semidirect
29. C4×C22⋊C4×D47C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C4×#126×C47C2semidirect
33. #15689798C4direct (N × H)
42. C2×C4×Dic94C22semidirect
62. C2×C42×D47C22semidirect
63. #15689028C22semidirect
64. #15689027C22semidirect
65. #15689027C22semidirect
67. #15689022C22semidirect
68. #15689018C22semidirect
74. #15689015C22semidirect
75. #15689013C22semidirect
76. #15689013C22semidirect
77. #15689012C22semidirect
78. #15689012C22semidirect
79. #15689012C22semidirect
82. #15689010C22semidirect
83. #15689010C22semidirect
84. #15689010C22semidirect
85. #15689009C22semidirect
86. #15689009C22semidirect
87. #15689009C22semidirect
88. #15689008C22semidirect
89. #15689008C22semidirect
90. #15689008C22semidirect
91. #15689006C22semidirect
92. #15689005C22semidirect
93. #15689005C22semidirect
94. #15689005C22semidirect
107. #15688997C22semidirect
111. #15688990C22semidirect
112. #15688987C22semidirect
115. #15688985C22semidirect
119. C4⋊C4×Dic47C22semidirect
120. C4⋊C4×Dic47C22semidirect
121. C4⋊C4×Dic47C22semidirect
122. C4⋊C4×Dic47C22semidirect
123. C4×Dic47⋊C4C22semidirect
124. C4×Dic47⋊C4C22semidirect
125. C4×Dic47⋊C4C22semidirect
126. C4×Dic47⋊C4C22semidirect
127. C4×Dic47⋊C4C22semidirect
128. C4×C4⋊Dic47C22semidirect
129. C4×C4⋊Dic47C22semidirect
130. C4×C4⋊Dic47C22semidirect
131. C4×C4⋊Dic47C22semidirect
146. C4×(C2×D47)⋊C4C22semidirect
147. C4×(C2×D47)⋊C4C22semidirect
148. C4×(C2×D47)⋊C4C22semidirect
149. C4×(C2×D47)⋊C4C22semidirect
150. C4×(C2×D47)⋊C4C22semidirect
161. #15688970C22semidirect
162. #15688970C22semidirect
163. #15688969C22semidirect
164. #15688969C22semidirect
165. #15688968C22semidirect
166. #15688968C22semidirect
171. C42×Dic47C22semidirect
172. C42×Dic47C22semidirect
177. C47×#387C22semidirect
178. C47×#387C22semidirect
179. C47×#387C22semidirect
180. C47×#383C22semidirect
181. C4×C4⋊C4×C47C22semidirect
182. C4×C4⋊C4×C47C22semidirect
183. C4×C4⋊C4×C47C22semidirect
187. C43×C47C22semidirect
212. #13094017C2×C4semidirect
213. #13094010C2×C4semidirect
214. #13094009C2×C4semidirect
215. #13094009C2×C4semidirect
216. #13094006C2×C4semidirect
217. #13094004C2×C4semidirect
218. #13094002C2×C4semidirect
224. C4×D188C2×C4semidirect
226. #13093986C2×C4semidirect
229. #13093982C2×C4semidirect
231. #13093981C2×C4semidirect
278. C22⋊C4×D47C2×C4semidirect
279. C22⋊C4×D47C2×C4semidirect
341. #126×C47C2×C4semidirect
472. C2×C4×D47C22×C4semidirect
477. C2×Dic94C22×C4semidirect
481. C4⋊C4×C47C22×C4semidirect
482. C4⋊C4×C47C22×C4semidirect
483. C4⋊C4×C47C22×C4semidirect
499. C42×C47C22×C4semidirect
523. (C2×D47)⋊C4C22×C4semidirect
524. (C2×D47)⋊C4C22×C4semidirect
525. (C2×D47)⋊C4C22×C4semidirect
533. C4⋊Dic47C22×C4semidirect
534. C4⋊Dic47C22×C4semidirect
541. Dic47⋊C4C22×C4semidirect
542. Dic47⋊C4C22×C4semidirect
543. Dic47⋊C4C22×C4semidirect
565. C4×Dic47C22×C4semidirect
566. C4×Dic47C22×C4semidirect
755. C4×C47#551semidirect
786. C4×#126D47semidirect
878. #387C2×D47semidirect
879. #387C2×D47semidirect
880. #387C2×D47semidirect
898. #383C2×D47semidirect
919. C4×C4⋊C4C2×D47semidirect
920. C4×C4⋊C4C2×D47semidirect
921. C4×C4⋊C4C2×D47semidirect
966. C43C2×D47semidirect
967. C47C4×#551semidirect
994. #126C4×D47semidirect
1277. C4⋊C4C2×C4×D47semidirect
1278. C4⋊C4C2×C4×D47semidirect
1279. C4⋊C4C2×C4×D47semidirect
1346. C42C2×C4×D47semidirect
1547. C4#15689798direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156897982
#202465162
#202465152
#202465122
#202464952
#202464702
#202464652
#202463872
#202463732
#202463662
#202463272
#202463212
#202462452
#202462432
#202462362
#202462322
C4×#130940172
C4×#130940102
C4×#130940042
C4×#130940022
C4×#130940092
C4×#130940062
C4×#130939942
C42×D1882
C4×#130939862
C4×#130939812
C4×#130939822
C4×C22⋊C4×D472
C4×#126×C472
C4×#55147