Finite Group Databasebeta

← #34495630

Subgroups — #34495630

Order 20224.

2954 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099128C211yesmaximal, characteristic, complemented
2C2×#19099123C211yesmaximal, characteristic, complemented
3#23771680C211yesmaximal, characteristic, complemented
4#23771680C211yesmaximal, characteristic, complemented
5#23770234C211yesmaximal, characteristic, complemented
6#23770126C211yesmaximal, characteristic, complemented
7#23770117C211yesmaximal, characteristic, complemented
8#23770111C211yesmaximal, characteristic, complemented
9#23769835C211yesmaximal, characteristic, complemented
10#23769829C211yesmaximal, characteristic, complemented
11#23769805C211yesmaximal, characteristic, complemented
12#23769799C211yesmaximal, characteristic, complemented
13#23769775C211yesmaximal, characteristic, complemented
14#23769665C211yesmaximal, characteristic, complemented
15#23769659C211yesmaximal, characteristic, complemented
16#23769635C211yesmaximal, characteristic, complemented
17#23769629C211yesmaximal, characteristic, complemented
18#23769611C211yesmaximal, characteristic, complemented
19#23769607C211yesmaximal, characteristic, complemented
20#23769602C211yesmaximal, characteristic, complemented
21#23769134C211yesmaximal, characteristic, complemented
22#23767842C211yesmaximal, characteristic, complemented
23#23767840C211yesmaximal, characteristic, complemented
24#23767008C211yesmaximal, characteristic, complemented
25#23767006C211yesmaximal, characteristic, complemented
26#23766795C211yesmaximal, characteristic, complemented
27#23766793C211yesmaximal, characteristic, complemented
28#23766773C211yesmaximal, characteristic, complemented
29#23766771C211yesmaximal, characteristic, complemented
30C2×#19098440C211yesmaximal, characteristic, complemented
31C79×#2617C211yesmaximal, characteristic, complemented
32C22×#11929623C2211yescharacteristic, complemented
33C23×C22⋊D79C2211yescharacteristic
34C22×D4×D79C2211yescharacteristic
35C24×Dic79C2211yescharacteristic, complemented
36#19099128—28no—
37#19099123—28no—
38C2×#14579157C2211yescharacteristic
39C2×#14579157C2211yescharacteristic, complemented
40C2×#14579147C2211yescharacteristic
41C2×#14579147C2211yescharacteristic, complemented
42C2×#14579146C2211yescharacteristic, complemented
43C2×#14579145C2211yescharacteristic
44C2×#14579143C2211yescharacteristic
45C2×#14579143C2211yescharacteristic
46C2×#14579143C2211yescharacteristic, complemented
47C2×#14579142C2211yescharacteristic
48C2×#14579135C2211yescharacteristic
49C2×#14579134C2211yescharacteristic
50C2×#14579134C2211yescharacteristic
51C2×#14579134C2211yescharacteristic
52C2×#14579134C2211yescharacteristic, complemented
53C2×#14579133C2211yescharacteristic
54C2×#14579133C2211yescharacteristic
55C2×#14579133C2211yescharacteristic
56C2×#14579133C2211yescharacteristic, complemented
57C2×#14579133C2211yescharacteristic, complemented
58C2×#14579133C2211yescharacteristic, complemented
59C2×#14579133C2211yescharacteristic, complemented
60C2×#14579133C2211yescharacteristic, complemented
61C2×#14579132C2211yescharacteristic
62C2×#14579132C2211yescharacteristic
63C2×#14579131C2211yescharacteristic
64C2×#14579131C2211yescharacteristic, complemented
65C2×#14579130C2211yescharacteristic
66C2×#14579130C2211yescharacteristic, complemented
67C2×#14579129C2211yescharacteristic
68C2×#14579129C2211yescharacteristic
69C2×#14579129C2211yescharacteristic
70C2×#14579129C2211yescharacteristic, complemented
71C2×#14579117C2211yescharacteristic, complemented
72C22×(C2×D79)⋊C4C2211yescharacteristic
73C22×(C2×D79)⋊C4C2211yescharacteristic
74C2×C22⋊C4×D79C2211yescharacteristic
75#19098505C2211yescharacteristic, complemented
76#19098504C2211yescharacteristic, complemented
77#19098499C2211yescharacteristic, complemented
78#19098498C2211yescharacteristic, complemented
79#19098497C2211yescharacteristic, complemented
80#19098496C2211yescharacteristic, complemented
81#19098492C2211yescharacteristic, complemented
82#19098492C2211yescharacteristic, complemented
83#19098492C2211yescharacteristic, complemented
84#19098491C2211yescharacteristic, complemented
85#19098490C2211yescharacteristic, complemented
86#19098489C2211yescharacteristic, complemented
87#19098488C2211yescharacteristic, complemented
88#19098488C2211yescharacteristic, complemented
89#19098484C2211yescharacteristic, complemented
90#19098483C2211yescharacteristic, complemented
91#19098481C2211yescharacteristic, complemented
92#19098481C2211yescharacteristic, complemented
93#19098480C2211yescharacteristic, complemented
94#19098480C2211yescharacteristic, complemented
95#19098479C2211yescharacteristic, complemented
96#19098479C2211yescharacteristic, complemented
97#19098479C2211yescharacteristic, complemented
98#19098479C2211yescharacteristic, complemented
99#19098479C2211yescharacteristic, complemented
100#19098479C2211yescharacteristic, complemented
101#19098479C2211yescharacteristic, complemented
102#19098478C2211yescharacteristic, complemented
103#19098478C2211yescharacteristic, complemented
104#19098478C2211yescharacteristic, complemented
105#19098476C2211yescharacteristic, complemented
106#19098475C2211yescharacteristic, complemented
107#19098473C2211yescharacteristic, complemented
108#19098472C2211yescharacteristic, complemented
109#19098472C2211yescharacteristic, complemented
110#19098472C2211yescharacteristic, complemented
111#19098472C2211yescharacteristic, complemented
112#19098472C2211yescharacteristic, complemented
113#19098471C2211yescharacteristic, complemented
114#19098471C2211yescharacteristic, complemented
115#19098457C2211yescharacteristic, complemented
116#19098456C2211yescharacteristic, complemented
117#19098453C2211yescharacteristic, complemented
118#19098452C2211yescharacteristic, complemented
119#19098450C2211yescharacteristic, complemented
120#19098449C2211yescharacteristic, complemented
121#19098446C2211yescharacteristic, complemented
122#19098445C2211yescharacteristic, complemented
123#19098443C2211yescharacteristic
124#19098443C2211yescharacteristic, complemented
125#19098443C2211yescharacteristic, complemented
126#19098443C2211yescharacteristic, complemented
127#19098443C2211yescharacteristic, complemented
128#19098443C2211yescharacteristic, complemented
129#19098443C2211yescharacteristic, complemented
130#19098442C2211yescharacteristic
131#19098442C2211yescharacteristic, complemented
132#19098441C2211yescharacteristic, complemented
133#19098441C2211yescharacteristic, complemented
134#19098441C2211yescharacteristic, complemented
135#19098440C2211yescharacteristic
136#19098440C2211yescharacteristic
137#19098440C2211yescharacteristic
138#19098440C2211yescharacteristic
139#19098440C2211yescharacteristic
140#19098440C2211yescharacteristic, complemented
141#19098440C2211yescharacteristic, complemented
142#19098440C2211yescharacteristic, complemented
143#19098440C2211yescharacteristic, complemented
144#19098440C2211yescharacteristic, complemented
145#19098440C2211yescharacteristic, complemented
146#19098440C2211yescharacteristic, complemented
147#19098440C2211yescharacteristic, complemented
148#19098440C2211yescharacteristic, complemented
149#19098440C2211yescharacteristic, complemented
150#19098439C2211yescharacteristic, complemented
151#19098439C2211yescharacteristic, complemented
152#19098439C2211yescharacteristic, complemented
153#19098438C2211yescharacteristic, complemented
154#19098437C2211yescharacteristic, complemented
155#19098437C2211yescharacteristic, complemented
156#19098437C2211yescharacteristic, complemented
157#19098435C2211yescharacteristic, complemented
158#19098434C2211yescharacteristic, complemented
159#19098434C2211yescharacteristic, complemented
160#19098434C2211yescharacteristic, complemented
161#19098425C2211yescharacteristic, complemented
162#19098425C2211yescharacteristic, complemented
163#19098423C2211yescharacteristic, complemented
164#19098421C2211yescharacteristic, complemented
165#19098421C2211yescharacteristic, complemented
166#19098421C2211yescharacteristic, complemented
167#19098421C2211yescharacteristic, complemented
168#19098421C2211yescharacteristic, complemented
169#19098421C2211yescharacteristic, complemented
170#19098418C2211yescharacteristic, complemented
171#19098418C2211yescharacteristic, complemented
172C2×C79⋊#95C2211yescharacteristic, complemented
173C2×C79⋊#95C2211yescharacteristic, complemented
174C2×#121×C79C2211yescharacteristic
175C2×#120×C79C2211yescharacteristic
176C2×#120×C79C2211yescharacteristic, complemented
177C22×C22⋊C4×C79C2211yescharacteristic, complemented
178#397×C79C2211yescharacteristic, complemented
179#397×C79C2211yescharacteristic, complemented
180#394×C79C2211yescharacteristic, complemented
181#394×C79C2211yescharacteristic, complemented
182#394×C79C2211yescharacteristic, complemented
183#394×C79C2211yescharacteristic, complemented
184#392×C79C2211yescharacteristic, complemented
185#392×C79C2211yescharacteristic, complemented
186#386×C79C2211yescharacteristic
187#386×C79C2211yescharacteristic, complemented
188#380×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C2×#11929623—24no—
192C2×#11929623—42no—
193C2×#11929623—42no—
194C22×Dic158C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C22×C22⋊D79—42no—
200C22×C22⋊D79—42no—
201C22×C22⋊D79D418yescomplemented
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C22×C22⋊D79C2311yescharacteristic
206C22×C22⋊D79C2311yescharacteristic
207C22×C22⋊D79C2311yescharacteristic
208C22×C22⋊D79C2311yescharacteristic
209C22×C22⋊D79C2311yescharacteristic
210C22×C22⋊D79C2311yescharacteristic
211C22×C22⋊D79C2311yescharacteristic
212C22×C22⋊D79C2311yescharacteristic
213C22×C22⋊D79C2311yescharacteristic
214C22×C22⋊D79C2311yescharacteristic
215C22×C22⋊D79C2311yescharacteristic
216C22×C22⋊D79C2311yescharacteristic
217C22×C22⋊D79C2311yescharacteristic
218C2×D4×D79—24no—
219C2×D4×D79—42no—
220C2×D4×D79—42no—
221C23×Dic79—42no—
222C23×Dic79—42no—
223C23×Dic79—42no—
224C23×Dic79C2311yescharacteristic
225C23×Dic79C2311yescharacteristic
226C23×Dic79C2311yescharacteristic
227C23×Dic79C2311yescharacteristic
228C23×Dic79C2311yescharacteristic
229C23×Dic79C2311yescharacteristic
230C23×Dic79C2311yescharacteristic
231C23×Dic79C2311yescharacteristic
232C22×C4×D79C2311yescharacteristic
233C22×C4×D79C2311yescharacteristic
234C22×C4×D79C2311yescharacteristic
235C22×C4×D79C2311yescharacteristic
236#14579157—24no—
237#14579157—24no—
238#14579147—24no—
239#14579147—24no—
240#14579146—42no—
241#14579145—24no—
242#14579143—24no—
243#14579143—24no—
244#14579143—42no—
245#14579142—24no—
246#14579135—42no—
247#14579134—24no—
248#14579134—24no—
249#14579134—24no—
250#14579134—24no—
251#14579133—24no—
252#14579133—24no—
253#14579133—42no—
254#14579133—42no—
255#14579133—42no—
256#14579133—42no—
257#14579133—42no—
258#14579133—42no—
259#14579132—24no—
260#14579132—24no—
261#14579131—24no—
262#14579131—42no—
263#14579130—24no—
264#14579130—24no—
265#14579129—24no—
266#14579129—24no—
267#14579129—24no—
268#14579129—42no—
269#14579117—24no—
270C2×C4⋊Dic79C2311yescharacteristic
271C2×C4⋊Dic79C2311yescharacteristic
272C2×C4⋊Dic79C2311yescharacteristic
273C2×C4⋊Dic79C2311yescharacteristic
274C2×C4⋊Dic79C2311yescharacteristic
275C2×Dic79⋊C4C2311yescharacteristic
276C2×Dic79⋊C4C2311yescharacteristic
277C2×Dic79⋊C4C2311yescharacteristic
278C2×Dic79⋊C4C2311yescharacteristic
279C2×Dic79⋊C4C2311yescharacteristic
280C2×Dic79⋊C4C2311yescharacteristic
281C2×Dic79⋊C4C2311yescharacteristic
282C2×Dic79⋊C4C2311yescharacteristic
283C2×Dic79⋊C4C2311yescharacteristic
284C2×Dic79⋊C4C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×C22⋊Dic79C2311yescharacteristic
287C2×C22⋊Dic79C2311yescharacteristic
288C2×C22⋊Dic79C2311yescharacteristic
289C2×C22⋊Dic79C2311yescharacteristic
290C2×C22⋊Dic79C2311yescharacteristic
291C2×C22⋊Dic79C2311yescharacteristic
292C2×C22⋊Dic79C2311yescharacteristic
293C2×C22⋊Dic79C2311yescharacteristic
294C2×C22⋊Dic79C2311yescharacteristic
295C2×C22⋊Dic79C2311yescharacteristic
296C2×C22⋊Dic79C2311yescharacteristic
297C2×C22⋊Dic79C2311yescharacteristic
298C2×C22⋊Dic79C2311yescharacteristic
299C2×(C2×D79)⋊C4—42no—
300C2×(C2×D79)⋊C4—42no—
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C2×(C2×D79)⋊C4C2311yescharacteristic
312C2×(C2×D79)⋊C4C2311yescharacteristic
313C2×(C2×D79)⋊C4C2311yescharacteristic
314C2×(C2×D79)⋊C4C2311yescharacteristic
315C2×(C2×D79)⋊C4C2311yescharacteristic
316C2×(C2×D79)⋊C4C2311yescharacteristic
317C2×(C2×D79)⋊C4C2311yescharacteristic
318C2×(C2×D79)⋊C4C2311yescharacteristic
319C2×(C2×D79)⋊C4C2311yescharacteristic
320C2×(C2×D79)⋊C4C2311yescharacteristic
321C2×(C2×D79)⋊C4C2311yescharacteristic
322C2×(C2×D79)⋊C4C2311yescharacteristic
323C2×(C2×D79)⋊C4C2311yescharacteristic
324C2×(C2×D79)⋊C4C2311yescharacteristic
325C2×(C2×D79)⋊C4C2311yescharacteristic
326C2×(C2×D79)⋊C4C2311yescharacteristic
327C2×(C2×D79)⋊C4C2311yescharacteristic
328C2×(C2×D79)⋊C4C2311yescharacteristic
329C22⋊C4×D79—24no—
330C2×C4×Dic79C2311yescharacteristic
331C2×C4×Dic79C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C79⋊#95C2311yescharacteristic
347C79⋊#95C2311yescharacteristic
348C79⋊#95C2311yescharacteristic
349C79⋊#95C2311yescharacteristic
350C79⋊#95C2311yescharacteristic
351C79⋊#95C2311yescharacteristic
352C79⋊#95C2311yescharacteristic
353C79⋊#95C2311yescharacteristic
354C79⋊#95C2311yescharacteristic
355C79⋊#95C2311yescharacteristic
356C79⋊#95C2311yescharacteristic
357C79⋊#95C2311yescharacteristic
358C25×C79C2311yescharacteristic
359C22×D4×C79C2311yescharacteristic
360C22×D4×C79C2311yescharacteristic
361C22×D4×C79C2311yescharacteristic
362C22×D4×C79C2311yescharacteristic
363C22×D4×C79C2311yescharacteristic
364C22×D4×C79C2311yescharacteristic
365C22×D4×C79C2311yescharacteristic
366C23×C4×C79C2311yescharacteristic
367C23×C4×C79C2311yescharacteristic
368#121×C79—42no—
369#120×C79—24no—
370#120×C79—24no—
371C2×C4⋊C4×C79C2311yescharacteristic
372C2×C4⋊C4×C79C2311yescharacteristic
373C2×C4⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79—42no—
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379C2×C22⋊C4×C79C2311yescharacteristic
380C2×C22⋊C4×C79C2311yescharacteristic
381C2×C22⋊C4×C79C2311yescharacteristic
382C2×C22⋊C4×C79C2311yescharacteristic
383C2×C22⋊C4×C79C2311yescharacteristic
384C2×C22⋊C4×C79C2311yescharacteristic
385C2×C22⋊C4×C79C2311yescharacteristic
386C2×C22⋊C4×C79C2311yescharacteristic
387C2×C22⋊C4×C79C2311yescharacteristic
388C2×C22⋊C4×C79C2311yescharacteristic
389C2×C22⋊C4×C79C2311yescharacteristic
390C2×C22⋊C4×C79C2311yescharacteristic
391#95×C79C2311yescharacteristic
392#95×C79C2311yescharacteristic
393#95×C79C2311yescharacteristic
394#95×C79C2311yescharacteristic
395#95×C79C2311yescharacteristic
396#95×C79C2311yescharacteristic
397C23×D79—22no—
398C23×D79—22no—
399C23×D79—22no—
400C23×D79—41no—
401C23×D79—41no—
402C23×D79—41no—
403C23×D79—41no—
404C23×D79—41no—
405C23×D79—41no—
406C23×D79—41no—
407C23×D79—41no—
408C23×D79—41no—
409C23×D79—41no—
410C23×D79C2×D414yes—
411C23×D79C2411yescharacteristic
412C23×D79C2411yescharacteristic
413C23×D79C2411yescharacteristic
414C23×D79C2411yescharacteristic
415#11929623—416no—
416C2×Dic158—22no—
417C2×Dic158—41no—
418C2×Dic158—41no—
419C2×D316—22no—
420C2×D316—22no—
421C2×D316—22no—
422C2×D316—41no—
423C2×D316—41no—
424C2×D316—41no—
425C2×D316—41no—
426C2×D316—41no—
427C2×D316—41no—
428C2×D316—41no—
429C2×D316—41no—
430C2×D316—41no—
431C2×C22⋊D79—22no—
432C2×C22⋊D79—22no—
433C2×C22⋊D79—22no—
434C2×C22⋊D79—22no—
435C2×C22⋊D79—22no—
436C2×C22⋊D79—22no—
437C2×C22⋊D79—22no—
438C2×C22⋊D79—22no—
439C2×C22⋊D79—22no—
440C2×C22⋊D79—22no—
441C2×C22⋊D79—22no—
442C2×C22⋊D79—22no—
443C2×C22⋊D79—22no—
444C2×C22⋊D79—22no—
445C2×C22⋊D79—22no—
446C2×C22⋊D79—22no—
447C2×C22⋊D79—41no—
448C2×C22⋊D79—41no—
449C2×C22⋊D79—41no—
450C2×C22⋊D79—41no—
451C2×C22⋊D79—416no—
452C2×C22⋊D79—41no—
453C2×C22⋊D79—41no—
454C2×C22⋊D79—41no—
455C2×C22⋊D79—41no—
456C2×C22⋊D79—41no—
457C2×C22⋊D79—41no—
458C2×C22⋊D79—41no—
459C2×C22⋊D79—41no—
460C2×C22⋊D79—41no—
461C2×C22⋊D79—41no—
462C2×C22⋊D79—41no—
463C2×C22⋊D79—41no—
464C2×C22⋊D79—41no—
465C2×C22⋊D79—41no—
466C2×C22⋊D79—41no—
467C2×C22⋊D79—41no—
468C2×C22⋊D79—41no—
469C2×C22⋊D79—41no—
470C2×C22⋊D79—41no—
471C2×C22⋊D79—41no—
472C2×C22⋊D79—41no—
473C2×C22⋊D79—41no—
474C2×C22⋊D79—41no—
475C2×C22⋊D79—41no—
476C2×C22⋊D79C2×D414yes—
477C2×C22⋊D79C2×D414yes—
478C2×C22⋊D79C2×D414yes—
479C2×C22⋊D79C2×D414yes—
480D4×D79—416no—
481C22×Dic79—22no—
482C22×Dic79—22no—
483C22×Dic79—22no—
484C22×Dic79—22no—
485C22×Dic79—22no—
486C22×Dic79—22no—
487C22×Dic79—22no—
488C22×Dic79—22no—
489C22×Dic79—22no—
490C22×Dic79—22no—
491C22×Dic79—22no—
492C22×Dic79—41no—
493C22×Dic79—41no—
494C22×Dic79—41no—
495C22×Dic79—41no—
496C22×Dic79—41no—
497C22×Dic79—41no—
498C22×Dic79—41no—
499C22×Dic79—41no—
500C22×Dic79—41no—
501C22×Dic79—41no—
502C22×Dic79—41no—
503C22×Dic79—41no—
504C22×Dic79—416no—
505C22×Dic79C2×D414yes—
506C22×Dic79C2411yescharacteristic
507C22×Dic79C2411yescharacteristic
508C22×Dic79C2411yescharacteristic
509C22×Dic79C2411yescharacteristic
510C22×Dic79C2411yescharacteristic
511C22×Dic79C2411yescharacteristic
512C22×Dic79C2411yescharacteristic
513C22×Dic79C2411yescharacteristic
514C22×Dic79C2411yescharacteristic
515C22×Dic79C2411yescharacteristic
516C22×Dic79C2411yescharacteristic
517C22×Dic79C2411yescharacteristic
518C2×C4×D79—22no—
519C2×C4×D79—22no—
520C2×C4×D79—22no—
521C2×C4×D79—22no—
522C2×C4×D79—41no—
523C2×C4×D79—41no—
524C2×C4×D79—41no—
525C2×C4×D79—41no—
526C2×C4×D79—41no—
527C2×C4×D79—41no—
528C2×C4×D79—41no—
529C2×C4×D79—41no—
530C4⋊Dic79—22no—
531C4⋊Dic79—22no—
532C4⋊Dic79—41no—
533C4⋊Dic79—41no—
534C4⋊Dic79—41no—
535Dic79⋊C4—22no—
536Dic79⋊C4—22no—
537Dic79⋊C4—22no—
538Dic79⋊C4—22no—
539Dic79⋊C4—22no—
540Dic79⋊C4—22no—
541Dic79⋊C4—41no—
542Dic79⋊C4—41no—
543Dic79⋊C4—41no—
544Dic79⋊C4—41no—
545C22⋊Dic79—22no—
546C22⋊Dic79—22no—
547C22⋊Dic79—22no—
548C22⋊Dic79—22no—
549C22⋊Dic79—22no—
550C22⋊Dic79—22no—
551C22⋊Dic79—22no—
552C22⋊Dic79—22no—
553C22⋊Dic79—22no—
554C22⋊Dic79—22no—
555C22⋊Dic79—41no—
556C22⋊Dic79—41no—
557C22⋊Dic79—41no—
558C22⋊Dic79—41no—
559(C2×D79)⋊C4—22no—
560(C2×D79)⋊C4—22no—
561(C2×D79)⋊C4—22no—
562(C2×D79)⋊C4—22no—
563(C2×D79)⋊C4—22no—
564(C2×D79)⋊C4—22no—
565(C2×D79)⋊C4—22no—
566(C2×D79)⋊C4—22no—
567(C2×D79)⋊C4—22no—
568(C2×D79)⋊C4—22no—
569(C2×D79)⋊C4—22no—
570(C2×D79)⋊C4—22no—
571(C2×D79)⋊C4—22no—
572(C2×D79)⋊C4—22no—
573(C2×D79)⋊C4—41no—
574(C2×D79)⋊C4—41no—
575(C2×D79)⋊C4—41no—
576(C2×D79)⋊C4—41no—
577(C2×D79)⋊C4—41no—
578(C2×D79)⋊C4—41no—
579(C2×D79)⋊C4—41no—
580(C2×D79)⋊C4—41no—
581(C2×D79)⋊C4—41no—
582(C2×D79)⋊C4—41no—
583(C2×D79)⋊C4—41no—
584(C2×D79)⋊C4—41no—
585(C2×D79)⋊C4—41no—
586(C2×D79)⋊C4—41no—
587C4×Dic79—22no—
588C4×Dic79—22no—
589C24×C79—22no—
590C24×C79—22no—
591C24×C79—41no—
592C24×C79—41no—
593C24×C79—41no—
594C24×C79—41no—
595C24×C79C2×D414yes—
596C24×C79C2411yescharacteristic
597C24×C79C2411yescharacteristic
598C24×C79C2411yescharacteristic
599C24×C79C2411yescharacteristic
600C24×C79C2411yescharacteristic
601C2×D4×C79—22no—
602C2×D4×C79—22no—
603C2×D4×C79—22no—
604C2×D4×C79—22no—
605C2×D4×C79—22no—
606C2×D4×C79—22no—
607C2×D4×C79—22no—
608C2×D4×C79—22no—
609C2×D4×C79—22no—
610C2×D4×C79—22no—
611C2×D4×C79—41no—
612C2×D4×C79—41no—
613C2×D4×C79—41no—
614C2×D4×C79—41no—
615C2×D4×C79—41no—
616C2×D4×C79—41no—
617C2×D4×C79—41no—
618C2×D4×C79—41no—
619C2×D4×C79—41no—
620C2×D4×C79—41no—
621C2×D4×C79—41no—
622C22×C4×C79—22no—
623C22×C4×C79—22no—
624C22×C4×C79—41no—
625C22×C4×C79—41no—
626C22×C4×C79—41no—
627C22×C4×C79—41no—
628C22×C4×C79C2411yescharacteristic
629C22×C4×C79C2411yescharacteristic
630C22×C4×C79C2411yescharacteristic
631C22×C4×C79C2411yescharacteristic
632C22×C4×C79C2411yescharacteristic
633C22×C4×C79C2411yescharacteristic
634C22×C4×C79C2411yescharacteristic
635C22×C4×C79C2411yescharacteristic
636C22×C4×C79C2411yescharacteristic
637C22×C4×C79C2411yescharacteristic
638C4⋊C4×C79—41no—
639C4⋊C4×C79—41no—
640C4⋊C4×C79—41no—
641C22⋊C4×C79—22no—
642C22⋊C4×C79—22no—
643C22⋊C4×C79—22no—
644C22⋊C4×C79—22no—
645C22⋊C4×C79—22no—
646C22⋊C4×C79—22no—
647C22⋊C4×C79—41no—
648C22⋊C4×C79—41no—
649C22⋊C4×C79—41no—
650C22⋊C4×C79—41no—
651C22⋊C4×C79—41no—
652C22⋊C4×C79—41no—
653C22⋊C4×C79—41no—
654C22⋊C4×C79—41no—
655C22⋊C4×C79—41no—
656C22⋊C4×C79—41no—
657C23×C79—21no—
658C23×C79—21no—
659C23×C79—21no—
660C23×C79—21no—
661C23×C79—28no—
662C23×C79—21no—
663C23×C79—21no—
664C23×C79—21no—
665C23×C79—21no—
666C23×C79—21no—
667C23×C79—21no—
668C23×C79—21no—
669C23×C79—21no—
670C23×C79—21no—
671C23×C79—21no—
672C23×C79—21no—
673C23×C79—21no—
674C23×C79—21no—
675C23×C79—21no—
676C23×C79—21no—
677C23×C79—21no—
678C23×C79—21no—
679C23×C79—21no—
680C23×C79—21no—
681C23×C79—21no—
682C23×C79—21no—
683C23×C79—21no—
684C23×C79—21no—
685C23×C79—21no—
686C23×C79—21no—
687C23×C79—21no—
688C23×C79—44no—
689C23×C79—44no—
690C23×C79—44no—
691C23×C79—44no—
692C23×C79—44no—
693C23×C79—44no—
694C23×C79C22×D412yes—
695C23×C79C22×D412yes—
696C23×C79C22×D412yes—
697C23×C79H(5,𝔽2)12yes—
698C23×C79H(5,𝔽2)12yes—
699C23×C79C2511yescharacteristic
700C22×D79—21no—
701C22×D79—21no—
702C22×D79—21no—
703C22×D79—21no—
704C22×D79—21no—
705C22×D79—21no—
706C22×D79—21no—
707C22×D79—21no—
708C22×D79—21no—
709C22×D79—21no—
710C22×D79—21no—
711C22×D79—21no—
712C22×D79—28no—
713C22×D79—21no—
714C22×D79—21no—
715C22×D79—21no—
716C22×D79—21no—
717C22×D79—21no—
718C22×D79—21no—
719C22×D79—21no—
720C22×D79—21no—
721C22×D79—21no—
722C22×D79—21no—
723C22×D79—21no—
724C22×D79—21no—
725C22×D79—21no—
726C22×D79—21no—
727C22×D79—44no—
728C22×D79—44no—
729C22×D79—44no—
730C22×D79—82no—
731C22×D79—82no—
732C22×D79—82no—
733C22×D79—82no—
734C22×D79—82no—
735C22×D79—82no—
736C22×D79—82no—
737C22×D79—82no—
738C22×D79—82no—
739C22×D79—82no—
740C22×D79C22×D412yes—
741C22×D79C22×D412yes—
742D4×C79—44no—
743D4×C79—44no—
744D4×C79—82no—
745D4×C79—82no—
746D4×C79—82no—
747D4×C79—82no—
748D4×C79—82no—
749C2×C4×C79—21no—
750C2×C4×C79—21no—
751C2×C4×C79—21no—
752C2×C4×C79—21no—
753C2×C4×C79—21no—
754C2×C4×C79—21no—
755C2×C4×C79—21no—
756C2×C4×C79—21no—
757C2×C4×C79—21no—
758C2×C4×C79—21no—
759C2×C4×C79—21no—
760C2×C4×C79—21no—
761C2×C4×C79—21no—
762C2×C4×C79—21no—
763C2×C4×C79—21no—
764C2×C4×C79—21no—
765C2×C4×C79—21no—
766C2×C4×C79—21no—
767C2×C4×C79—21no—
768C2×C4×C79—21no—
769C2×C4×C79—21no—
770C2×C4×C79—21no—
771C2×C4×C79—21no—
772C2×C4×C79—21no—
773C2×C4×C79—21no—
774C2×C4×C79—21no—
775C2×C4×C79—21no—
776C2×C4×C79—21no—
777C2×C4×C79—21no—
778C2×C4×C79—21no—
779C2×C4×C79—82no—
780C2×C4×C79—82no—
781C22⋊D79—44no—
782C22⋊D79—44no—
783C22⋊D79—44no—
784C22⋊D79—44no—
785C22⋊D79—44no—
786C22⋊D79—44no—
787C22⋊D79—44no—
788C22⋊D79—44no—
789C22⋊D79—82no—
790C22⋊D79—82no—
791C22⋊D79—82no—
792C22⋊D79—82no—
793C22⋊D79—82no—
794C22⋊D79—82no—
795C22⋊D79—82no—
796C22⋊D79—82no—
797C2×Dic79—28no—
798C2×Dic79—21no—
799C2×Dic79—21no—
800C2×Dic79—21no—
801C2×Dic79—21no—
802C2×Dic79—21no—
803C2×Dic79—21no—
804C2×Dic79—21no—
805C2×Dic79—21no—
806C2×Dic79—21no—
807C2×Dic79—21no—
808C2×Dic79—21no—
809C2×Dic79—21no—
810C2×Dic79—21no—
811C2×Dic79—21no—
812C2×Dic79—21no—
813C2×Dic79—21no—
814C2×Dic79—21no—
815C2×Dic79—21no—
816C2×Dic79—21no—
817C2×Dic79—21no—
818C2×Dic79—21no—
819C2×Dic79—21no—
820C2×Dic79—21no—
821C2×Dic79—21no—
822C2×Dic79—21no—
823C2×Dic79—21no—
824C2×Dic79—21no—
825C2×Dic79—21no—
826C2×Dic79—21no—
827C2×Dic79—21no—
828C2×Dic79—21no—
829C2×Dic79—21no—
830C2×Dic79—44no—
831C2×Dic79—44no—
832C2×Dic79—44no—
833C2×Dic79—44no—
834C2×Dic79—44no—
835C2×Dic79—44no—
836C2×Dic79—44no—
837C2×Dic79C22×D412yes—
838C2×Dic79C22×D412yes—
839C2×Dic79H(5,𝔽2)12yes—
840C2×Dic79H(5,𝔽2)12yes—
841D316—44no—
842D316—82no—
843D316—82no—
844D316—82no—
845C4×D79—44no—
846C4×D79—44no—
847C4×D79—82no—
848C4×D79—82no—
849Dic158—44no—
850C22×C79—22no—
851C22×C79—22no—
852C22×C79—22no—
853C22×C79—22no—
854C22×C79—22no—
855C22×C79—22no—
856C22×C79—22no—
857C22×C79—22no—
858C22×C79—22no—
859C22×C79—22no—
860C22×C79—22no—
861C22×C79—22no—
862C22×C79—416no—
863C22×C79—41no—
864C22×C79—41no—
865C22×C79—41no—
866C22×C79—41no—
867C22×C79—41no—
868C22×C79—41no—
869C22×C79—41no—
870C22×C79—41no—
871C22×C79—41no—
872C22×C79—41no—
873C22×C79—41no—
874C22×C79—41no—
875C22×C79—41no—
876C22×C79—41no—
877C22×C79—41no—
878C22×C79—41no—
879C22×C79—41no—
880C22×C79—41no—
881C22×C79—41no—
882C22×C79—41no—
883C22×C79—41no—
884C22×C79—41no—
885C22×C79#53414yes—
886C22×C79C23×D411yescharacteristic
887C22×C79C2×H(5,𝔽2)11yescharacteristic
888C22×C79C2×H(5,𝔽2)11yescharacteristic
889C22×C79C2×H(5,𝔽2)11yescharacteristic
890C22×C79C2×H(5,𝔽2)11yescharacteristic
891C22×C79#58511yescharacteristic
892C22×C79#58511yescharacteristic
893C2×D79—22no—
894C2×D79—22no—
895C2×D79—22no—
896C2×D79—22no—
897C2×D79—22no—
898C2×D79—22no—
899C2×D79—41no—
900C2×D79—41no—
901C2×D79—41no—
902C2×D79—41no—
903C2×D79—41no—
904C2×D79—41no—
905C2×D79—41no—
906C2×D79—41no—
907C2×D79—41no—
908C2×D79—41no—
909C2×D79—41no—
910C2×D79—41no—
911C2×D79—41no—
912C2×D79—41no—
913C2×D79—41no—
914C2×D79—41no—
915C2×D79—41no—
916C2×D79—41no—
917C2×D79—41no—
918C2×D79—41no—
919C2×D79—41no—
920C2×D79—41no—
921C2×D79—88no—
922C2×D79—88no—
923C4×C79—41no—
924C4×C79—41no—
925C4×C79—41no—
926C4×C79—41no—
927C4×C79—41no—
928C4×C79—41no—
929C4×C79—41no—
930C4×C79—41no—
931C4×C79—41no—
932C4×C79—41no—
933Dic79—22no—
934Dic79—22no—
935Dic79—22no—
936Dic79—22no—
937Dic79—41no—
938Dic79—41no—
939Dic79—41no—
940Dic79—41no—
941Dic79—41no—
942Dic79—41no—
943Dic79—41no—
944Dic79—41no—
945#36737—791nomaximal, Sylow
946C2×C79—24no—
947C2×C79—42no—
948C2×C79—42no—
949C2×C79—81no—
950C2×C79—81no—
951C2×C79C2×#53411yescharacteristic
952C2×C79#349611yescharacteristic
953C2×C79#349611yescharacteristic
954C2×C79#353211yescharacteristic
955C2×C79#353311yescharacteristic
956C2×C79#354211yescharacteristic
957C2×C79#354211yescharacteristic
958D79—42no—
959D79—42no—
960D79—81no—
961D79—81no—
962C2×#535—791no—
963C2×#534—791no—
964#2847—791no—
965#2847—791no—
966#2717—791no—
967#2709—791no—
968#2708—791no—
969#2708—791no—
970#2688—791no—
971#2688—791no—
972#2686—791no—
973#2686—791no—
974#2684—791no—
975#2673—791no—
976#2673—791no—
977#2671—791no—
978#2671—791no—
979#2669—791no—
980#2668—791no—
981#2668—791no—
982#2617—791no—
983#2617D7911yescharacteristic, complemented
984#2498—791no—
985#2498—791no—
986#2430—791no—
987#2430—791no—
988#2412—791no—
989#2412—791no—
990#2410—791no—
991#2410—791no—
992C2×#386—791no—
993C79#3673711yescharacteristic, complemented, Sylow
994C22×#41—791no—
995C23×D4—791no—
996C23×D4—791no—
997C24×C4—791no—
998#535—1588no—
999#534—1588no—
1000C2×#127—791no—
1001C2×#127—791no—
1002C2×#124—791no—
1003C2×#124—791no—
1004C2×#123—791no—
1005C2×#123—791no—
1006C2×#123—791no—
1007C2×#123—791no—
1008C2×#123—791no—
1009C2×#123—791no—
1010C2×#121—791no—
1011C2×#121—791no—
1012C2×#121—791no—
1013C2×#121—791no—
1014C2×#121—791no—
1015C2×#121—791no—
1016C2×#121—791no—
1017C2×#121—791no—
1018C2×#121—791no—
1019C2×#121—791no—
1020C2×#121—791no—
1021C2×#121—791no—
1022C2×#121—791no—
1023C2×#121—791no—
1024C2×#121—791no—
1025C2×#121C2×D7911yescharacteristic
1026C2×#120—791no—
1027C2×#120—791no—
1028C2×#120—791no—
1029C2×#120—791no—
1030C2×#120—791no—
1031C2×#120—791no—
1032C2×#120—791no—
1033C2×#120—791no—
1034C2×#120C2×D7911yescharacteristic
1035C2×#120C2×D7911yescharacteristic, complemented
1036C2×#117—791no—
1037C22×C22⋊C4—791no—
1038C22×C22⋊C4—791no—
1039C22×C22⋊C4—791no—
1040C22×C22⋊C4C2×D7911yescharacteristic, complemented
1041#400—791no—
1042#400—791no—
1043#399—791no—
1044#399—791no—
1045#398—791no—
1046#398—791no—
1047#397—791no—
1048#397—791no—
1049#397—791no—
1050#397—791no—
1051#397—791no—
1052#397—791no—
1053#397—791no—
1054#397—791no—
1055#397C2×D7911yescharacteristic, complemented
1056#397C2×D7911yescharacteristic, complemented
1057#395—791no—
1058#395—791no—
1059#394—791no—
1060#394—791no—
1061#394—791no—
1062#394—791no—
1063#394—791no—
1064#394—791no—
1065#394—791no—
1066#394—791no—
1067#394—791no—
1068#394—791no—
1069#394—791no—
1070#394—791no—
1071#394—791no—
1072#394—791no—
1073#394C2×D7911yescharacteristic, complemented
1074#394C2×D7911yescharacteristic, complemented
1075#394C2×D7911yescharacteristic, complemented
1076#394C2×D7911yescharacteristic, complemented
1077#393—791no—
1078#393—791no—
1079#392—791no—
1080#392—791no—
1081#392—791no—
1082#392—791no—
1083#392—791no—
1084#392—791no—
1085#392—791no—
1086#392—791no—
1087#392C2×D7911yescharacteristic, complemented
1088#392C2×D7911yescharacteristic, complemented
1089#388—791no—
1090#388—791no—
1091#388—791no—
1092#388—791no—
1093#387—791no—
1094#387—791no—
1095#387—791no—
1096#387—791no—
1097#386—791no—
1098#386—791no—
1099#386—791no—
1100#386—791no—
1101#386—791no—
1102#386—791no—
1103#386—791no—
1104#386—791no—
1105#386—791no—
1106#386—791no—
1107#386—791no—
1108#386—791no—
1109#386—791no—
1110#386—791no—
1111#386—791no—
1112#386—791no—
1113#386—791no—
1114#386—791no—
1115#386—791no—
1116#386—791no—
1117#386—791no—
1118#386—791no—
1119#386—791no—
1120#386—791no—
1121#386—791no—
1122#386—791no—
1123#386—791no—
1124#386—791no—
1125#386—791no—
1126#386—791no—
1127#386C2×D7911yescharacteristic
1128#386C2×D7911yescharacteristic, complemented
1129#385—791no—
1130#385—791no—
1131#385—791no—
1132#385—791no—
1133#385—791no—
1134#385—791no—
1135#385—791no—
1136#385—791no—
1137#381—791no—
1138#381—791no—
1139#380—791no—
1140#380—791no—
1141#380—791no—
1142#380—791no—
1143#380—791no—
1144#380—791no—
1145#380—791no—
1146#380C2×D7911yescharacteristic, complemented
1147#379—791no—
1148#379—791no—
1149C2×#95—791no—
1150C2×#95—791no—
1151C25—791no—
1152C25—791no—
1153C25C22×D7911yescharacteristic
1154C2×#41—3162no—
1155C2×#41—3162no—
1156C2×#41—1584no—
1157C22×Q8—791no—
1158C22×D4—3162no—
1159C22×D4—3162no—
1160C22×D4—3162no—
1161C22×D4—3162no—
1162C22×D4—798no—
1163C22×D4—791no—
1164C22×D4—791no—
1165C22×D4—791no—
1166C22×D4—791no—
1167C22×D4—791no—
1168C22×D4—791no—
1169C22×D4—791no—
1170C22×D4—791no—
1171C22×D4—791no—
1172C22×D4—791no—
1173C22×D4—791no—
1174C22×D4—791no—
1175C22×D4—791no—
1176C22×D4—791no—
1177C22×D4—791no—
1178C22×D4—791no—
1179C22×D4—791no—
1180C22×D4—791no—
1181C22×D4—791no—
1182C22×D4—791no—
1183C22×D4—1584no—
1184C22×D4C22×D7911yescharacteristic
1185C22×D4C22×D7911yescharacteristic
1186C22×D4C22×D7911yescharacteristic
1187C22×D4C22×D7911yescharacteristic
1188C22×D4C22×D7911yescharacteristic
1189C22×D4C22×D7911yescharacteristic
1190C22×D4C22×D7911yescharacteristic
1191C23×C4—3162no—
1192C23×C4—3162no—
1193C23×C4—3162no—
1194C23×C4—791no—
1195C23×C4—791no—
1196C23×C4—791no—
1197C23×C4—791no—
1198C23×C4—791no—
1199C23×C4—791no—
1200C23×C4—791no—
1201C23×C4—791no—
1202C23×C4—791no—
1203C23×C4—791no—
1204C23×C4—791no—
1205C23×C4—791no—
1206C23×C4C22×D7911yescharacteristic
1207C23×C4C22×D7911yescharacteristic
1208#127—1584no—
1209#127—1584no—
1210#124—1584no—
1211#124—1584no—
1212#123—3162no—
1213#123—3162no—
1214#123—1584no—
1215#123—1584no—
1216#123—1584no—
1217#123—1584no—
1218#121—42no—
1219#121—3162no—
1220#121—3162no—
1221#121—3162no—
1222#121—3162no—
1223#121—3162no—
1224#121—3162no—
1225#121—3162no—
1226#121—1584no—
1227#121—1584no—
1228#121—1584no—
1229#121—1584no—
1230#121—1584no—
1231#121—1584no—
1232#121—1584no—
1233#121—1584no—
1234#120—24no—
1235#120—24no—
1236#120—3162no—
1237#120—3162no—
1238#120—1584no—
1239#120—1584no—
1240#120—1584no—
1241#120—1584no—
1242#120—1584no—
1243#120—1584no—
1244#117—1584no—
1245C2×C4⋊C4—791no—
1246C2×C4⋊C4—791no—
1247C2×C4⋊C4—791no—
1248C2×C4⋊C4—791no—
1249C2×C4⋊C4—791no—
1250C2×C4⋊C4—791no—
1251C2×C4⋊C4—791no—
1252C2×C4⋊C4—791no—
1253C2×C4⋊C4—791no—
1254C2×C4⋊C4—791no—
1255C2×C4⋊C4—791no—
1256C2×C4⋊C4—791no—
1257C2×C4⋊C4—791no—
1258C2×C4⋊C4—791no—
1259C2×C4⋊C4—791no—
1260C2×C4⋊C4C22×D7911yescharacteristic
1261C2×C4⋊C4C22×D7911yescharacteristic
1262C2×C4⋊C4C22×D7911yescharacteristic
1263C2×C22⋊C4—42no—
1264C2×C22⋊C4—3162no—
1265C2×C22⋊C4—3162no—
1266C2×C22⋊C4—791no—
1267C2×C22⋊C4—791no—
1268C2×C22⋊C4—791no—
1269C2×C22⋊C4—791no—
1270C2×C22⋊C4—791no—
1271C2×C22⋊C4—791no—
1272C2×C22⋊C4—791no—
1273C2×C22⋊C4—791no—
1274C2×C22⋊C4—791no—
1275C2×C22⋊C4—791no—
1276C2×C22⋊C4—791no—
1277C2×C22⋊C4—791no—
1278C2×C22⋊C4—791no—
1279C2×C22⋊C4—791no—
1280C2×C22⋊C4—791no—
1281C2×C22⋊C4—791no—
1282C2×C22⋊C4—791no—
1283C2×C22⋊C4—791no—
1284C2×C22⋊C4—791no—
1285C2×C22⋊C4—791no—
1286C2×C22⋊C4—791no—
1287C2×C22⋊C4—791no—
1288C2×C22⋊C4—791no—
1289C2×C22⋊C4—791no—
1290C2×C22⋊C4—791no—
1291C2×C22⋊C4—791no—
1292C2×C22⋊C4—791no—
1293C2×C22⋊C4—791no—
1294C2×C22⋊C4—791no—
1295C2×C22⋊C4—791no—
1296C2×C22⋊C4—791no—
1297C2×C22⋊C4—791no—
1298C2×C22⋊C4—791no—
1299C2×C22⋊C4—791no—
1300C2×C22⋊C4—791no—
1301C2×C22⋊C4—791no—
1302C2×C22⋊C4—791no—
1303C2×C22⋊C4—791no—
1304C2×C22⋊C4—791no—
1305C2×C22⋊C4—791no—
1306C2×C22⋊C4—791no—
1307C2×C22⋊C4—791no—
1308C2×C22⋊C4—1584no—
1309C2×C22⋊C4C22×D7911yescharacteristic
1310C2×C22⋊C4C22×D7911yescharacteristic
1311C2×C22⋊C4C22×D7911yescharacteristic
1312C2×C22⋊C4C22×D7911yescharacteristic
1313C2×C22⋊C4C22×D7911yescharacteristic
1314C2×C22⋊C4C22×D7911yescharacteristic
1315C2×C22⋊C4C22×D7911yescharacteristic
1316C2×C22⋊C4C22×D7911yescharacteristic
1317C2×C22⋊C4C22×D7911yescharacteristic
1318C2×C22⋊C4C22×D7911yescharacteristic
1319C2×C22⋊C4C22×D7911yescharacteristic
1320C2×C22⋊C4C22×D7911yescharacteristic
1321C2×C22⋊C4C22×D7911yescharacteristic
1322C2×C22⋊C4C22×D7911yescharacteristic
1323C2×C22⋊C4C22×D7911yescharacteristic
1324C2×C22⋊C4C22×D7911yescharacteristic
1325C2×C42—791no—
1326C2×C42—791no—
1327#95—791no—
1328#95—791no—
1329#95—791no—
1330#95—791no—
1331#95—791no—
1332#95—791no—
1333#95—791no—
1334#95—791no—
1335#95—791no—
1336#95—791no—
1337#95—791no—
1338#95—791no—
1339#95—791no—
1340#95—791no—
1341#95—791no—
1342#95—791no—
1343#95—791no—
1344#95—791no—
1345#95—791no—
1346#95—791no—
1347#95—791no—
1348#95—791no—
1349#95—791no—
1350#95—791no—
1351#95—791no—
1352#95—791no—
1353#95C22×D7911yescharacteristic
1354#95C22×D7911yescharacteristic
1355#95C22×D7911yescharacteristic
1356#95C22×D7911yescharacteristic
1357#95C22×D7911yescharacteristic
1358#95C22×D7911yescharacteristic
1359C24—22no—
1360C24—22no—
1361C24—41no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—3161no—
1366C24—3161no—
1367C24—3161no—
1368C24—3161no—
1369C24—3161no—
1370C24—3161no—
1371C24—3161no—
1372C24—3161no—
1373C24—3161no—
1374C24—3161no—
1375C24—794no—
1376C24—791no—
1377C24—791no—
1378C24—791no—
1379C24—791no—
1380C24—1582no—
1381C24—1582no—
1382C24—1582no—
1383C24D4×D7914yes—
1384C24C23×D7911yescharacteristic
1385C24C23×D7911yescharacteristic
1386C24C23×D7911yescharacteristic
1387C24C23×D7911yescharacteristic
1388C24C23×D7911yescharacteristic
1389#41—31616no—
1390C2×Q8—3161no—
1391C2×Q8—3161no—
1392C2×Q8—1582no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—3161no—
1415C2×D4—3161no—
1416C2×D4—3161no—
1417C2×D4—3161no—
1418C2×D4—3161no—
1419C2×D4—3161no—
1420C2×D4—3161no—
1421C2×D4—3161no—
1422C2×D4—3161no—
1423C2×D4—31616no—
1424C2×D4—3161no—
1425C2×D4—3161no—
1426C2×D4—3161no—
1427C2×D4—3161no—
1428C2×D4—3161no—
1429C2×D4—3161no—
1430C2×D4—3161no—
1431C2×D4—3161no—
1432C2×D4—3161no—
1433C2×D4—3161no—
1434C2×D4—31616no—
1435C2×D4—3161no—
1436C2×D4—3161no—
1437C2×D4—3161no—
1438C2×D4—3161no—
1439C2×D4—3161no—
1440C2×D4—3161no—
1441C2×D4—3161no—
1442C2×D4—3161no—
1443C2×D4—3161no—
1444C2×D4—3161no—
1445C2×D4—3161no—
1446C2×D4—3161no—
1447C2×D4—3161no—
1448C2×D4—3161no—
1449C2×D4—3161no—
1450C2×D4—3161no—
1451C2×D4—3161no—
1452C2×D4—3161no—
1453C2×D4—794no—
1454C2×D4—794no—
1455C2×D4—794no—
1456C2×D4—794no—
1457C2×D4—1582no—
1458C2×D4—1582no—
1459C2×D4—1582no—
1460C2×D4—1582no—
1461C2×D4—1582no—
1462C2×D4—1582no—
1463C2×D4—1582no—
1464C2×D4—1582no—
1465C2×D4—1582no—
1466C2×D4—1582no—
1467C2×D4—1582no—
1468C2×D4—1582no—
1469C2×D4—1582no—
1470C2×D4—1582no—
1471C2×D4—1582no—
1472C2×D4—1582no—
1473C2×D4—1582no—
1474C2×D4—1582no—
1475C2×D4—1582no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—41no—
1479C22×C4—41no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—3161no—
1483C22×C4—3161no—
1484C22×C4—3161no—
1485C22×C4—3161no—
1486C22×C4—3161no—
1487C22×C4—3161no—
1488C22×C4—3161no—
1489C22×C4—3161no—
1490C22×C4—31616no—
1491C22×C4—3161no—
1492C22×C4—3161no—
1493C22×C4—3161no—
1494C22×C4—3161no—
1495C22×C4—3161no—
1496C22×C4—3161no—
1497C22×C4—3161no—
1498C22×C4—3161no—
1499C22×C4—3161no—
1500C22×C4—3161no—
1501C22×C4—3161no—
1502C22×C4—3161no—
1503C22×C4—791no—
1504C22×C4—791no—
1505C22×C4—791no—
1506C22×C4—791no—
1507C22×C4—794no—
1508C22×C4—791no—
1509C22×C4—791no—
1510C22×C4—791no—
1511C22×C4—791no—
1512C22×C4—791no—
1513C22×C4—791no—
1514C22×C4—791no—
1515C22×C4—791no—
1516C22×C4—1582no—
1517C22×C4—1582no—
1518C22×C4—1582no—
1519C22×C4—1582no—
1520C22×C4—1582no—
1521C22×C4—1582no—
1522C22×C4—1582no—
1523C22×C4—1582no—
1524C22×C4—1582no—
1525C22×C4—1582no—
1526C22×C4—1582no—
1527C22×C4—1582no—
1528C22×C4—1582no—
1529C22×C4—1582no—
1530C22×C4—1582no—
1531C22×C4C23×D7911yescharacteristic
1532C22×C4C23×D7911yescharacteristic
1533C22×C4C23×D7911yescharacteristic
1534C22×C4C23×D7911yescharacteristic
1535C22×C4C23×D7911yescharacteristic
1536C22×C4C23×D7911yescharacteristic
1537C22×C4C23×D7911yescharacteristic
1538C22×C4C23×D7911yescharacteristic
1539C22×C4C23×D7911yescharacteristic
1540C22×C4C23×D7911yescharacteristic
1541C4⋊C4—41no—
1542C4⋊C4—41no—
1543C4⋊C4—41no—
1544C4⋊C4—3161no—
1545C4⋊C4—3161no—
1546C4⋊C4—3161no—
1547C4⋊C4—3161no—
1548C4⋊C4—3161no—
1549C4⋊C4—3161no—
1550C4⋊C4—3161no—
1551C4⋊C4—1582no—
1552C4⋊C4—1582no—
1553C4⋊C4—1582no—
1554C4⋊C4—1582no—
1555C4⋊C4—1582no—
1556C4⋊C4—1582no—
1557C4⋊C4—1582no—
1558C4⋊C4—1582no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—41no—
1573C22⋊C4—41no—
1574C22⋊C4—41no—
1575C22⋊C4—3161no—
1576C22⋊C4—3161no—
1577C22⋊C4—3161no—
1578C22⋊C4—3161no—
1579C22⋊C4—3161no—
1580C22⋊C4—3161no—
1581C22⋊C4—3161no—
1582C22⋊C4—3161no—
1583C22⋊C4—3161no—
1584C22⋊C4—3161no—
1585C22⋊C4—3161no—
1586C22⋊C4—3161no—
1587C22⋊C4—3161no—
1588C22⋊C4—3161no—
1589C22⋊C4—3161no—
1590C22⋊C4—3161no—
1591C22⋊C4—3161no—
1592C22⋊C4—3161no—
1593C22⋊C4—1582no—
1594C22⋊C4—1582no—
1595C22⋊C4—1582no—
1596C22⋊C4—1582no—
1597C22⋊C4—1582no—
1598C22⋊C4—1582no—
1599C22⋊C4—1582no—
1600C22⋊C4—1582no—
1601C22⋊C4—1582no—
1602C22⋊C4—1582no—
1603C22⋊C4—1582no—
1604C22⋊C4—1582no—
1605C22⋊C4—1582no—
1606C22⋊C4—1582no—
1607C22⋊C4—1582no—
1608C22⋊C4—1582no—
1609C22⋊C4—1582no—
1610C22⋊C4—1582no—
1611C22⋊C4—1582no—
1612C22⋊C4—1582no—
1613C22⋊C4—1582no—
1614C22⋊C4—1582no—
1615C22⋊C4—1582no—
1616C22⋊C4—1582no—
1617C42—1582no—
1618C42—1582no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—28no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—44no—
1651C23—44no—
1652C23—44no—
1653C23—44no—
1654C23—44no—
1655C23—44no—
1656C23—3164no—
1657C23—3164no—
1658C23—3164no—
1659C23—792no—
1660C23—792no—
1661C23—6322no—
1662C23—6322no—
1663C23—6322no—
1664C23—6322no—
1665C23—6322no—
1666C23—6322no—
1667C23—6322no—
1668C23—6322no—
1669C23—6322no—
1670C23—6322no—
1671C23—1581no—
1672C23—1581no—
1673C23—1581no—
1674C23—1581no—
1675C23—1581no—
1676C23—1581no—
1677C23—1581no—
1678C23—1581no—
1679C23—1581no—
1680C23—1581no—
1681C23—1581no—
1682C23—1581no—
1683C23—1581no—
1684C23—1581no—
1685C23—1581no—
1686C23—1581no—
1687C23—1581no—
1688C23—1581no—
1689C23—1581no—
1690C23—1581no—
1691C23—1581no—
1692C23—1581no—
1693C23—1581no—
1694C23—1581no—
1695C23—1581no—
1696C23—1581no—
1697C23—1588no—
1698C23C2×D4×D7912yes—
1699C23C2×D4×D7912yes—
1700C23C2×D4×D7912yes—
1701C23#1457920612yes—
1702C23#1457920712yes—
1703C23C24×D7911yescharacteristic
1704Q8—3164no—
1705D4—44no—
1706D4—44no—
1707D4—82no—
1708D4—82no—
1709D4—82no—
1710D4—82no—
1711D4—82no—
1712D4—3164no—
1713D4—3164no—
1714D4—3164no—
1715D4—3164no—
1716D4—3164no—
1717D4—3164no—
1718D4—3164no—
1719D4—3164no—
1720D4—3164no—
1721D4—6322no—
1722D4—6322no—
1723D4—6322no—
1724D4—6322no—
1725D4—6322no—
1726D4—6322no—
1727D4—6322no—
1728D4—6322no—
1729D4—6322no—
1730D4—6322no—
1731D4—6322no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—82no—
1763C2×C4—82no—
1764C2×C4—3164no—
1765C2×C4—3164no—
1766C2×C4—3164no—
1767C2×C4—3164no—
1768C2×C4—3164no—
1769C2×C4—3164no—
1770C2×C4—3164no—
1771C2×C4—3164no—
1772C2×C4—3164no—
1773C2×C4—792no—
1774C2×C4—792no—
1775C2×C4—792no—
1776C2×C4—792no—
1777C2×C4—6322no—
1778C2×C4—6322no—
1779C2×C4—1581no—
1780C2×C4—1581no—
1781C2×C4—1581no—
1782C2×C4—1581no—
1783C2×C4—1581no—
1784C2×C4—1581no—
1785C2×C4—1581no—
1786C2×C4—1581no—
1787C2×C4—1581no—
1788C2×C4—1581no—
1789C2×C4—1581no—
1790C2×C4—1581no—
1791C2×C4—1581no—
1792C2×C4—1581no—
1793C2×C4—1581no—
1794C2×C4—1581no—
1795C2×C4—1581no—
1796C2×C4—1581no—
1797C2×C4—1581no—
1798C2×C4—1581no—
1799C2×C4—1581no—
1800C2×C4—1581no—
1801C2×C4—1581no—
1802C2×C4—1581no—
1803C2×C4—1581no—
1804C2×C4—1581no—
1805C2×C4—1581no—
1806C2×C4—1581no—
1807C2×C4—1581no—
1808C2×C4—1581no—
1809C2×C4—1581no—
1810C2×C4—1581no—
1811C2×C4—1588no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—22no—
1824C22—416no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—3161no—
1848C22—3161no—
1849C22—3161no—
1850C22—3161no—
1851C22—3161no—
1852C22—3161no—
1853C22—3161no—
1854C22—3161no—
1855C22—3161no—
1856C22—3161no—
1857C22—3161no—
1858C22—3161no—
1859C22—3161no—
1860C22—3161no—
1861C22—3161no—
1862C22—3161no—
1863C22—3161no—
1864C22—3161no—
1865C22—3161no—
1866C22—3161no—
1867C22—3161no—
1868C22—3161no—
1869C22—6328no—
1870C22—6328no—
1871C22—1582no—
1872C22—1582no—
1873C22—1582no—
1874C22—1582no—
1875C22—1582no—
1876C22—1582no—
1877C22#1909912114yes—
1878C22C22×D4×D7911yescharacteristic
1879C22H(5,𝔽2)×D7911yescharacteristic
1880C22H(5,𝔽2)×D7911yescharacteristic
1881C22C2×#1457920611yescharacteristic
1882C22C2×#1457920711yescharacteristic
1883C22#1909939811yescharacteristic
1884C22#1909939811yescharacteristic
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—3161no—
1896C4—3161no—
1897C4—3161no—
1898C4—3161no—
1899C4—3161no—
1900C4—3161no—
1901C4—3161no—
1902C4—3161no—
1903C4—1582no—
1904C4—1582no—
1905C4—1582no—
1906C4—1582no—
1907C2—24no—
1908C2—42no—
1909C2—42no—
1910C2—81no—
1911C2—81no—
1912C2—3162no—
1913C2—3162no—
1914C2—6321no—
1915C2—6321no—
1916C2C2×#1909912111yescharacteristic
1917C2#2377716111yescharacteristic
1918C2#2377716111yescharacteristic
1919C2#2377755111yescharacteristic
1920C2#2377756811yescharacteristic
1921C2#2377770311yescharacteristic
1922C2#2377771111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2617C2
hypercenter#2617D79
hypocenterC79#36737
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2617

Complements

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

NH ≅ G/Ntype
1. C2×#19099128C2semidirect
2. C2×#19099123C2semidirect
3. #23771680C2semidirect
4. #23771680C2semidirect
5. #23770234C2semidirect
6. #23770126C2semidirect
7. #23770117C2semidirect
8. #23770111C2semidirect
9. #23769835C2semidirect
10. #23769829C2semidirect
11. #23769805C2semidirect
12. #23769799C2semidirect
13. #23769775C2semidirect
14. #23769665C2semidirect
15. #23769659C2semidirect
16. #23769635C2semidirect
17. #23769629C2semidirect
18. #23769611C2semidirect
19. #23769607C2semidirect
20. #23769602C2semidirect
21. #23769134C2semidirect
22. #23767842C2semidirect
23. #23767840C2semidirect
24. #23767008C2semidirect
25. #23767006C2semidirect
26. #23766795C2semidirect
27. #23766793C2semidirect
28. #23766773C2semidirect
29. #23766771C2semidirect
30. C2×#19098440C2semidirect
31. C79×#2617C2semidirect
32. C22×#11929623C22semidirect
35. C24×Dic79C22semidirect
39. C2×#14579157C22semidirect
41. C2×#14579147C22semidirect
42. C2×#14579146C22semidirect
46. C2×#14579143C22semidirect
52. C2×#14579134C22semidirect
56. C2×#14579133C22semidirect
57. C2×#14579133C22semidirect
58. C2×#14579133C22semidirect
59. C2×#14579133C22semidirect
60. C2×#14579133C22semidirect
64. C2×#14579131C22semidirect
66. C2×#14579130C22semidirect
70. C2×#14579129C22semidirect
71. C2×#14579117C22semidirect
75. #19098505C22semidirect
76. #19098504C22semidirect
77. #19098499C22semidirect
78. #19098498C22semidirect
79. #19098497C22semidirect
80. #19098496C22semidirect
81. #19098492C22semidirect
82. #19098492C22semidirect
83. #19098492C22semidirect
84. #19098491C22semidirect
85. #19098490C22semidirect
86. #19098489C22semidirect
87. #19098488C22semidirect
88. #19098488C22semidirect
89. #19098484C22semidirect
90. #19098483C22semidirect
91. #19098481C22semidirect
92. #19098481C22semidirect
93. #19098480C22semidirect
94. #19098480C22semidirect
95. #19098479C22semidirect
96. #19098479C22semidirect
97. #19098479C22semidirect
98. #19098479C22semidirect
99. #19098479C22semidirect
100. #19098479C22semidirect
101. #19098479C22semidirect
102. #19098478C22semidirect
103. #19098478C22semidirect
104. #19098478C22semidirect
105. #19098476C22semidirect
106. #19098475C22semidirect
107. #19098473C22semidirect
108. #19098472C22semidirect
109. #19098472C22semidirect
110. #19098472C22semidirect
111. #19098472C22semidirect
112. #19098472C22semidirect
113. #19098471C22semidirect
114. #19098471C22semidirect
115. #19098457C22semidirect
116. #19098456C22semidirect
117. #19098453C22semidirect
118. #19098452C22semidirect
119. #19098450C22semidirect
120. #19098449C22semidirect
121. #19098446C22semidirect
122. #19098445C22semidirect
124. #19098443C22semidirect
125. #19098443C22semidirect
126. #19098443C22semidirect
127. #19098443C22semidirect
128. #19098443C22semidirect
129. #19098443C22semidirect
131. #19098442C22semidirect
132. #19098441C22semidirect
133. #19098441C22semidirect
134. #19098441C22semidirect
140. #19098440C22semidirect
141. #19098440C22semidirect
142. #19098440C22semidirect
143. #19098440C22semidirect
144. #19098440C22semidirect
145. #19098440C22semidirect
146. #19098440C22semidirect
147. #19098440C22semidirect
148. #19098440C22semidirect
149. #19098440C22semidirect
150. #19098439C22semidirect
151. #19098439C22semidirect
152. #19098439C22semidirect
153. #19098438C22semidirect
154. #19098437C22semidirect
155. #19098437C22semidirect
156. #19098437C22semidirect
157. #19098435C22semidirect
158. #19098434C22semidirect
159. #19098434C22semidirect
160. #19098434C22semidirect
161. #19098425C22semidirect
162. #19098425C22semidirect
163. #19098423C22semidirect
164. #19098421C22semidirect
165. #19098421C22semidirect
166. #19098421C22semidirect
167. #19098421C22semidirect
168. #19098421C22semidirect
169. #19098421C22semidirect
170. #19098418C22semidirect
171. #19098418C22semidirect
172. C2×C79⋊#95C22semidirect
173. C2×C79⋊#95C22semidirect
176. C2×#120×C79C22semidirect
177. C22×C22⋊C4×C79C22semidirect
178. #397×C79C22semidirect
179. #397×C79C22semidirect
180. #394×C79C22semidirect
181. #394×C79C22semidirect
182. #394×C79C22semidirect
183. #394×C79C22semidirect
184. #392×C79C22semidirect
185. #392×C79C22semidirect
187. #386×C79C22semidirect
188. #380×C79C22semidirect
201. C22×C22⋊D79D4semidirect
983. #2617D79semidirect
993. C79#36737semidirect
1035. C2×#120C2×D79semidirect
1040. C22×C22⋊C4C2×D79semidirect
1055. #397C2×D79semidirect
1056. #397C2×D79semidirect
1073. #394C2×D79semidirect
1074. #394C2×D79semidirect
1075. #394C2×D79semidirect
1076. #394C2×D79semidirect
1087. #392C2×D79semidirect
1088. #392C2×D79semidirect
1128. #386C2×D79semidirect
1146. #380C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991282
C2×#190991232
#237716802
#237702342
#237701262
#237701172
#237701112
#237698352
#237698292
#237698052
#237697992
#237697752
#237696652
#237696592
#237696352
#237696292
#237696112
#237696072
#237696022
#237691342
#237678422
#237678402
#237670082
#237670062
#237667952
#237667932
#237667732
#237667712
C2×#190984402
C79×#26172
#3673779