Finite Group Databasebeta

← #34496592

Subgroups — #34496592

Order 20224.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771695C211yesmaximal, characteristic, complemented
2#23771681C211yesmaximal, characteristic, complemented
3#23771015C211yesmaximal, characteristic, complemented
4#23771013C211yesmaximal, characteristic, complemented
5#23770776C211yesmaximal, characteristic, complemented
6#23770636C211yesmaximal, characteristic, complemented
7#23770621C211yesmaximal, characteristic, complemented
8#23770618C211yesmaximal, characteristic, complemented
9#23770540C211yesmaximal, characteristic, complemented
10#23770040C211yesmaximal, characteristic, complemented
11#23769960C211yesmaximal, characteristic, complemented
12#23769947C211yesmaximal, characteristic, complemented
13#23769840C211yesmaximal, characteristic, complemented
14#23769833C211yesmaximal, characteristic, complemented
15#23769781C211yesmaximal, characteristic, complemented
16#23769722C211yesmaximal, characteristic, complemented
17#23769698C211yesmaximal, characteristic, complemented
18#23769605C211yesmaximal, characteristic, complemented
19#23769356C211yesmaximal, characteristic, complemented
20#23769330C211yesmaximal, characteristic, complemented
21#23767954C211yesmaximal, characteristic, complemented
22#23767526C211yesmaximal, characteristic, complemented
23#23767144C211yesmaximal, characteristic, complemented
24#23767066C211yesmaximal, characteristic, complemented
25#23766930C211yesmaximal, characteristic, complemented
26#23766775C211yesmaximal, characteristic, complemented
27#23766775C211yesmaximal, characteristic, complemented
28#23766713C211yesmaximal, characteristic, complemented
29#23765975C211yesmaximal, characteristic, complemented
30C2×#19098439C211yesmaximal, characteristic, complemented
31C79×#2321C211yesmaximal, characteristic, complemented
32C23×C22⋊D79C2211yescharacteristic
33C23×C22⋊D79C2211yescharacteristic
34C23×C4×D79C2211yescharacteristic, complemented
35C2×#14579149C2211yescharacteristic, complemented
36C2×#14579146C2211yescharacteristic, complemented
37C2×#14579146C2211yescharacteristic, complemented
38C2×#14579138C2211yescharacteristic, complemented
39C2×#14579138C2211yescharacteristic, complemented
40C2×#14579135C2211yescharacteristic, complemented
41C2×#14579134C2211yescharacteristic, complemented
42C2×#14579134C2211yescharacteristic, complemented
43C2×#14579133C2211yescharacteristic
44C2×#14579133C2211yescharacteristic
45C2×#14579133C2211yescharacteristic, complemented
46C2×#14579133C2211yescharacteristic, complemented
47C2×#14579131C2211yescharacteristic
48C2×#14579131C2211yescharacteristic
49C2×#14579131C2211yescharacteristic
50C2×#14579131C2211yescharacteristic
51C2×#14579129C2211yescharacteristic, complemented
52C2×#14579129C2211yescharacteristic, complemented
53C22×C22⋊Dic79C2211yescharacteristic
54C22×C22⋊Dic79C2211yescharacteristic
55C22×(C2×D79)⋊C4C2211yescharacteristic, complemented
56C79⋊#401C2211yescharacteristic, complemented
57C79⋊#401C2211yescharacteristic, complemented
58#19098505C2211yescharacteristic, complemented
59#19098505C2211yescharacteristic, complemented
60#19098504C2211yescharacteristic, complemented
61#19098504C2211yescharacteristic, complemented
62#19098502C2211yescharacteristic, complemented
63#19098501C2211yescharacteristic, complemented
64#19098501C2211yescharacteristic, complemented
65#19098499C2211yescharacteristic, complemented
66#19098492C2211yescharacteristic, complemented
67#19098492C2211yescharacteristic, complemented
68#19098492C2211yescharacteristic, complemented
69#19098492C2211yescharacteristic, complemented
70#19098491C2211yescharacteristic, complemented
71#19098491C2211yescharacteristic, complemented
72#19098490C2211yescharacteristic, complemented
73#19098490C2211yescharacteristic, complemented
74#19098489C2211yescharacteristic, complemented
75#19098489C2211yescharacteristic, complemented
76#19098486C2211yescharacteristic, complemented
77#19098486C2211yescharacteristic, complemented
78#19098485C2211yescharacteristic, complemented
79#19098485C2211yescharacteristic, complemented
80#19098481C2211yescharacteristic, complemented
81#19098481C2211yescharacteristic, complemented
82#19098480C2211yescharacteristic, complemented
83#19098479C2211yescharacteristic, complemented
84#19098479C2211yescharacteristic, complemented
85#19098478C2211yescharacteristic
86#19098478C2211yescharacteristic
87#19098478C2211yescharacteristic, complemented
88#19098478C2211yescharacteristic, complemented
89#19098478C2211yescharacteristic, complemented
90#19098478C2211yescharacteristic, complemented
91#19098476C2211yescharacteristic, complemented
92#19098476C2211yescharacteristic, complemented
93#19098475C2211yescharacteristic, complemented
94#19098475C2211yescharacteristic, complemented
95#19098472C2211yescharacteristic
96#19098472C2211yescharacteristic
97#19098472C2211yescharacteristic
98#19098472C2211yescharacteristic
99#19098472C2211yescharacteristic, complemented
100#19098471C2211yescharacteristic
101#19098471C2211yescharacteristic
102#19098471C2211yescharacteristic, complemented
103#19098471C2211yescharacteristic, complemented
104#19098465C2211yescharacteristic, complemented
105#19098465C2211yescharacteristic, complemented
106#19098454C2211yescharacteristic, complemented
107#19098454C2211yescharacteristic, complemented
108#19098454C2211yescharacteristic, complemented
109#19098454C2211yescharacteristic, complemented
110#19098454C2211yescharacteristic, complemented
111#19098454C2211yescharacteristic, complemented
112#19098447C2211yescharacteristic, complemented
113#19098447C2211yescharacteristic, complemented
114#19098443C2211yescharacteristic, complemented
115#19098443C2211yescharacteristic, complemented
116#19098442C2211yescharacteristic
117#19098442C2211yescharacteristic
118#19098442C2211yescharacteristic
119#19098442C2211yescharacteristic
120#19098442C2211yescharacteristic, complemented
121#19098442C2211yescharacteristic, complemented
122#19098441C2211yescharacteristic, complemented
123#19098441C2211yescharacteristic, complemented
124#19098441C2211yescharacteristic, complemented
125#19098441C2211yescharacteristic, complemented
126#19098440C2211yescharacteristic
127#19098440C2211yescharacteristic
128#19098440C2211yescharacteristic
129#19098440C2211yescharacteristic
130#19098440C2211yescharacteristic
131#19098440C2211yescharacteristic
132#19098440C2211yescharacteristic, complemented
133#19098440C2211yescharacteristic, complemented
134#19098440C2211yescharacteristic, complemented
135#19098440C2211yescharacteristic, complemented
136#19098440C2211yescharacteristic, complemented
137#19098440C2211yescharacteristic, complemented
138#19098439C2211yescharacteristic
139#19098439C2211yescharacteristic
140#19098439C2211yescharacteristic
141#19098439C2211yescharacteristic
142#19098439C2211yescharacteristic, complemented
143#19098439C2211yescharacteristic, complemented
144#19098439C2211yescharacteristic, complemented
145#19098439C2211yescharacteristic, complemented
146#19098439C2211yescharacteristic, complemented
147#19098439C2211yescharacteristic, complemented
148#19098438C2211yescharacteristic, complemented
149#19098438C2211yescharacteristic, complemented
150#19098435C2211yescharacteristic, complemented
151#19098435C2211yescharacteristic, complemented
152#19098435C2211yescharacteristic, complemented
153#19098435C2211yescharacteristic, complemented
154#19098434C2211yescharacteristic, complemented
155#19098434C2211yescharacteristic, complemented
156#19098431C2211yescharacteristic, complemented
157#19098426C2211yescharacteristic, complemented
158#19098425C2211yescharacteristic, complemented
159#19098425C2211yescharacteristic, complemented
160#19098424C2211yescharacteristic, complemented
161#19098424C2211yescharacteristic, complemented
162#19098422C2211yescharacteristic, complemented
163#19098422C2211yescharacteristic, complemented
164#19098421C2211yescharacteristic, complemented
165#19098421C2211yescharacteristic, complemented
166#19098418C2211yescharacteristic, complemented
167#19098418C2211yescharacteristic, complemented
168#19098418C2211yescharacteristic, complemented
169#19098418C2211yescharacteristic, complemented
170C2×C79⋊#95C2211yescharacteristic, complemented
171C2×C79⋊#95C2211yescharacteristic, complemented
172C2×#120×C79C2211yescharacteristic
173C2×C4×D4×C79C2211yescharacteristic, complemented
174C22×C22⋊C4×C79C2211yescharacteristic
175#390×C79C2211yescharacteristic, complemented
176#390×C79C2211yescharacteristic, complemented
177#388×C79C2211yescharacteristic, complemented
178#388×C79C2211yescharacteristic, complemented
179#388×C79C2211yescharacteristic, complemented
180#388×C79C2211yescharacteristic, complemented
181#386×C79C2211yescharacteristic, complemented
182#386×C79C2211yescharacteristic, complemented
183#386×C79C2211yescharacteristic, complemented
184#385×C79C2211yescharacteristic, complemented
185#379×C79C2211yescharacteristic
186C4×C22⋊C4×C79C2211yescharacteristic, complemented
187C24×D79C2311yescharacteristic
188C24×D79C2311yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×C22⋊D79—24no—
195C22×C22⋊D79—24no—
196C22×C22⋊D79—42no—
197C22×C22⋊D79—42no—
198C22×C22⋊D79—42no—
199C22×C22⋊D79—42no—
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
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
212C23×Dic79C2311yescharacteristic
213C23×Dic79C2311yescharacteristic
214C23×Dic79C2311yescharacteristic
215C23×Dic79C2311yescharacteristic
216C23×Dic79C2311yescharacteristic
217C23×Dic79C2311yescharacteristic
218C22×C4×D79—42no—
219C22×C4×D79—42no—
220C22×C4×D79—42no—
221C22×C4×D79C2311yescharacteristic
222C22×C4×D79C2311yescharacteristic
223C22×C4×D79C2311yescharacteristic
224C22×C4×D79C2311yescharacteristic
225#14579149—42no—
226#14579146—42no—
227#14579146—42no—
228#14579138—42no—
229#14579138—42no—
230#14579135—42no—
231#14579134—42no—
232#14579134—42no—
233#14579133—42no—
234#14579133—42no—
235#14579133—42no—
236#14579133—42no—
237#14579131—42no—
238#14579131—42no—
239#14579131—42no—
240#14579131—42no—
241#14579129—42no—
242#14579129—42no—
243C2×C4⋊Dic79C2311yescharacteristic
244C2×C4⋊Dic79C2311yescharacteristic
245C2×C4⋊Dic79C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×C22⋊Dic79—42no—
257C2×C22⋊Dic79—42no—
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×(C2×D79)⋊C4—42no—
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C25×C79C2311yescharacteristic
338C22×D4×C79C2311yescharacteristic
339C22×D4×C79C2311yescharacteristic
340C22×D4×C79C2311yescharacteristic
341C23×C4×C79C2311yescharacteristic
342C23×C4×C79C2311yescharacteristic
343C23×C4×C79C2311yescharacteristic
344#120×C79—24no—
345C4×D4×C79—42no—
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C4⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79—42no—
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79C2311yescharacteristic
363C2×C22⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C42×C79C2311yescharacteristic
367C2×C42×C79C2311yescharacteristic
368C2×C42×C79C2311yescharacteristic
369#95×C79C2311yescharacteristic
370#95×C79C2311yescharacteristic
371#95×C79C2311yescharacteristic
372#95×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375C23×D79—22no—
376C23×D79—22no—
377C23×D79—22no—
378C23×D79—22no—
379C23×D79—22no—
380C23×D79—22no—
381C23×D79—41no—
382C23×D79—41no—
383C23×D79—41no—
384C23×D79—41no—
385C23×D79—41no—
386C23×D79—41no—
387C23×D79—41no—
388C23×D79—41no—
389C23×D79C2411yescharacteristic
390C23×D79C2411yescharacteristic
391C23×D79C2411yescharacteristic
392C23×D79C2411yescharacteristic
393C2×Dic158—41no—
394C2×Dic158—41no—
395C2×Dic158—41no—
396C2×D316—22no—
397C2×D316—22no—
398C2×D316—22no—
399C2×D316—22no—
400C2×D316—41no—
401C2×D316—41no—
402C2×D316—41no—
403C2×D316—41no—
404C2×D316—41no—
405C2×D316—41no—
406C2×D316—41no—
407C2×D316—41no—
408C2×C22⋊D79—22no—
409C2×C22⋊D79—22no—
410C2×C22⋊D79—22no—
411C2×C22⋊D79—22no—
412C2×C22⋊D79—22no—
413C2×C22⋊D79—22no—
414C2×C22⋊D79—22no—
415C2×C22⋊D79—22no—
416C2×C22⋊D79—22no—
417C2×C22⋊D79—22no—
418C2×C22⋊D79—22no—
419C2×C22⋊D79—22no—
420C2×C22⋊D79—22no—
421C2×C22⋊D79—22no—
422C2×C22⋊D79—22no—
423C2×C22⋊D79—22no—
424C2×C22⋊D79—22no—
425C2×C22⋊D79—22no—
426C2×C22⋊D79—22no—
427C2×C22⋊D79—41no—
428C2×C22⋊D79—41no—
429C2×C22⋊D79—41no—
430C2×C22⋊D79—41no—
431C2×C22⋊D79—41no—
432C2×C22⋊D79—41no—
433C2×C22⋊D79—41no—
434C2×C22⋊D79—41no—
435C2×C22⋊D79—416no—
436C2×C22⋊D79—416no—
437C2×C22⋊D79—41no—
438C2×C22⋊D79—41no—
439C2×C22⋊D79—41no—
440C2×C22⋊D79—41no—
441C2×C22⋊D79—41no—
442C2×C22⋊D79—41no—
443C2×C22⋊D79—41no—
444C2×C22⋊D79—41no—
445C2×C22⋊D79—41no—
446C22×Dic79—22no—
447C22×Dic79—22no—
448C22×Dic79—22no—
449C22×Dic79—22no—
450C22×Dic79—22no—
451C22×Dic79—41no—
452C22×Dic79—41no—
453C22×Dic79—41no—
454C22×Dic79—41no—
455C22×Dic79—41no—
456C22×Dic79—41no—
457C22×Dic79—41no—
458C22×Dic79—41no—
459C22×Dic79—41no—
460C22×Dic79—41no—
461C22×Dic79—41no—
462C22×Dic79—41no—
463C22×Dic79—41no—
464C22×Dic79C2411yescharacteristic
465C22×Dic79C2411yescharacteristic
466C22×Dic79C2411yescharacteristic
467C22×Dic79C2411yescharacteristic
468C22×Dic79C2411yescharacteristic
469C22×Dic79C2411yescharacteristic
470C22×Dic79C2411yescharacteristic
471C22×Dic79C2411yescharacteristic
472C22×Dic79C2411yescharacteristic
473C22×Dic79C2411yescharacteristic
474C22×Dic79C2411yescharacteristic
475C22×Dic79C2411yescharacteristic
476C2×C4×D79—22no—
477C2×C4×D79—22no—
478C2×C4×D79—22no—
479C2×C4×D79—22no—
480C2×C4×D79—41no—
481C2×C4×D79—41no—
482C2×C4×D79—41no—
483C2×C4×D79—41no—
484C2×C4×D79—41no—
485C2×C4×D79—41no—
486C2×C4×D79—41no—
487C2×C4×D79—41no—
488C2×C4×D79—416no—
489C4⋊Dic79—41no—
490C4⋊Dic79—41no—
491C4⋊Dic79—41no—
492Dic79⋊C4—22no—
493Dic79⋊C4—22no—
494Dic79⋊C4—41no—
495Dic79⋊C4—41no—
496Dic79⋊C4—41no—
497Dic79⋊C4—41no—
498Dic79⋊C4—41no—
499Dic79⋊C4—41no—
500Dic79⋊C4—41no—
501Dic79⋊C4—41no—
502C22⋊Dic79—22no—
503C22⋊Dic79—22no—
504C22⋊Dic79—22no—
505C22⋊Dic79—22no—
506C22⋊Dic79—41no—
507C22⋊Dic79—41no—
508C22⋊Dic79—41no—
509C22⋊Dic79—41no—
510C22⋊Dic79—41no—
511C22⋊Dic79—41no—
512C22⋊Dic79—41no—
513C22⋊Dic79—41no—
514(C2×D79)⋊C4—22no—
515(C2×D79)⋊C4—22no—
516(C2×D79)⋊C4—22no—
517(C2×D79)⋊C4—22no—
518(C2×D79)⋊C4—22no—
519(C2×D79)⋊C4—41no—
520(C2×D79)⋊C4—41no—
521(C2×D79)⋊C4—41no—
522(C2×D79)⋊C4—41no—
523(C2×D79)⋊C4—41no—
524(C2×D79)⋊C4—41no—
525(C2×D79)⋊C4—41no—
526(C2×D79)⋊C4—41no—
527(C2×D79)⋊C4—41no—
528(C2×D79)⋊C4—41no—
529(C2×D79)⋊C4—41no—
530(C2×D79)⋊C4—41no—
531(C2×D79)⋊C4—41no—
532(C2×D79)⋊C4—41no—
533(C2×D79)⋊C4—41no—
534(C2×D79)⋊C4—41no—
535(C2×D79)⋊C4—41no—
536(C2×D79)⋊C4—41no—
537(C2×D79)⋊C4—41no—
538(C2×D79)⋊C4—41no—
539(C2×D79)⋊C4—41no—
540(C2×D79)⋊C4—41no—
541(C2×D79)⋊C4—41no—
542(C2×D79)⋊C4—41no—
543(C2×D79)⋊C4—41no—
544(C2×D79)⋊C4—41no—
545(C2×D79)⋊C4—41no—
546C24×C79—22no—
547C24×C79—22no—
548C24×C79—41no—
549C24×C79—41no—
550C24×C79—41no—
551C24×C79—41no—
552C24×C79#4114yes—
553C24×C79C2411yescharacteristic
554C24×C79C2411yescharacteristic
555C24×C79C2411yescharacteristic
556C24×C79C2411yescharacteristic
557C2×D4×C79—22no—
558C2×D4×C79—22no—
559C2×D4×C79—22no—
560C2×D4×C79—22no—
561C2×D4×C79—22no—
562C2×D4×C79—41no—
563C2×D4×C79—41no—
564C2×D4×C79—41no—
565C2×D4×C79—41no—
566C22×C4×C79—22no—
567C22×C4×C79—22no—
568C22×C4×C79—41no—
569C22×C4×C79—41no—
570C22×C4×C79—41no—
571C22×C4×C79—41no—
572C22×C4×C79—41no—
573C22×C4×C79—41no—
574C22×C4×C79—41no—
575C22×C4×C79C2411yescharacteristic
576C22×C4×C79C2411yescharacteristic
577C22×C4×C79C2411yescharacteristic
578C22×C4×C79C2411yescharacteristic
579C22×C4×C79C2411yescharacteristic
580C22×C4×C79C2411yescharacteristic
581C22×C4×C79C2411yescharacteristic
582C22×C4×C79C2411yescharacteristic
583C22×C4×C79C2411yescharacteristic
584C22×C4×C79C2411yescharacteristic
585C22×C4×C79C2411yescharacteristic
586C4⋊C4×C79—41no—
587C4⋊C4×C79—41no—
588C4⋊C4×C79—41no—
589C22⋊C4×C79—22no—
590C22⋊C4×C79—22no—
591C22⋊C4×C79—22no—
592C22⋊C4×C79—22no—
593C22⋊C4×C79—22no—
594C22⋊C4×C79—41no—
595C22⋊C4×C79—41no—
596C22⋊C4×C79—41no—
597C22⋊C4×C79—41no—
598C22⋊C4×C79—41no—
599C22⋊C4×C79—41no—
600C22⋊C4×C79—41no—
601C22⋊C4×C79—41no—
602C22⋊C4×C79—41no—
603C22⋊C4×C79—41no—
604C22⋊C4×C79—41no—
605C42×C79—41no—
606C42×C79—41no—
607C42×C79—41no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79—21no—
615C23×C79—21no—
616C23×C79—21no—
617C23×C79—21no—
618C23×C79—21no—
619C23×C79—21no—
620C23×C79—21no—
621C23×C79—21no—
622C23×C79—21no—
623C23×C79—21no—
624C23×C79—28no—
625C23×C79—21no—
626C23×C79—21no—
627C23×C79—21no—
628C23×C79—21no—
629C23×C79—21no—
630C23×C79—21no—
631C23×C79—21no—
632C23×C79—44no—
633C23×C79—44no—
634C23×C79—82no—
635C23×C79—82no—
636C23×C79—82no—
637C23×C79—82no—
638C23×C79C2×#4112yes—
639C23×C79C2×#4112yes—
640C23×C79C2×#4112yes—
641C23×C79H(5,𝔽2)12yes—
642C23×C79H(5,𝔽2)12yes—
643C23×C79C2511yescharacteristic
644C22×D79—28no—
645C22×D79—21no—
646C22×D79—21no—
647C22×D79—21no—
648C22×D79—21no—
649C22×D79—21no—
650C22×D79—21no—
651C22×D79—21no—
652C22×D79—21no—
653C22×D79—21no—
654C22×D79—21no—
655C22×D79—21no—
656C22×D79—21no—
657C22×D79—21no—
658C22×D79—21no—
659C22×D79—21no—
660C22×D79—21no—
661C22×D79—21no—
662C22×D79—21no—
663C22×D79—21no—
664C22×D79—21no—
665C22×D79—21no—
666C22×D79—21no—
667C22×D79—21no—
668C22×D79—21no—
669C22×D79—21no—
670C22×D79—21no—
671C22×D79—44no—
672C22×D79—44no—
673C22×D79—44no—
674C22×D79—44no—
675C22×D79—44no—
676C22×D79—44no—
677C22×D79—44no—
678C22×D79—82no—
679C22×D79—82no—
680C22×D79—82no—
681C22×D79—82no—
682C22×D79—82no—
683C22×D79—82no—
684C22×D79H(5,𝔽2)12yes—
685C22×D79H(5,𝔽2)12yes—
686D4×C79—44no—
687D4×C79—82no—
688D4×C79—82no—
689C2×C4×C79—21no—
690C2×C4×C79—21no—
691C2×C4×C79—21no—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—21no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—21no—
708C2×C4×C79—21no—
709C2×C4×C79—21no—
710C2×C4×C79—21no—
711C2×C4×C79—21no—
712C2×C4×C79—21no—
713C2×C4×C79—21no—
714C2×C4×C79—21no—
715C2×C4×C79—21no—
716C2×C4×C79—21no—
717C2×C4×C79—21no—
718C2×C4×C79—21no—
719C2×C4×C79—21no—
720C2×C4×C79—21no—
721C2×C4×C79—21no—
722C2×C4×C79—44no—
723C2×C4×C79—82no—
724C2×C4×C79—82no—
725C22⋊D79—44no—
726C22⋊D79—44no—
727C22⋊D79—44no—
728C22⋊D79—44no—
729C22⋊D79—44no—
730C22⋊D79—44no—
731C22⋊D79—44no—
732C22⋊D79—44no—
733C22⋊D79—82no—
734C22⋊D79—82no—
735C22⋊D79—82no—
736C22⋊D79—82no—
737C2×Dic79—21no—
738C2×Dic79—21no—
739C2×Dic79—21no—
740C2×Dic79—21no—
741C2×Dic79—21no—
742C2×Dic79—21no—
743C2×Dic79—21no—
744C2×Dic79—21no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—21no—
750C2×Dic79—21no—
751C2×Dic79—21no—
752C2×Dic79—21no—
753C2×Dic79—21no—
754C2×Dic79—21no—
755C2×Dic79—21no—
756C2×Dic79—21no—
757C2×Dic79—21no—
758C2×Dic79—21no—
759C2×Dic79—21no—
760C2×Dic79—21no—
761C2×Dic79—21no—
762C2×Dic79—21no—
763C2×Dic79—21no—
764C2×Dic79—21no—
765C2×Dic79—21no—
766C2×Dic79—21no—
767C2×Dic79—21no—
768C2×Dic79—21no—
769C2×Dic79—21no—
770C2×Dic79—21no—
771C2×Dic79—21no—
772C2×Dic79—44no—
773C2×Dic79—44no—
774C2×Dic79—44no—
775C2×Dic79—82no—
776C2×Dic79—82no—
777C2×Dic79—82no—
778C2×Dic79H(5,𝔽2)12yes—
779D316—82no—
780D316—82no—
781D316—82no—
782D316—82no—
783C4×D79—44no—
784C4×D79—44no—
785C4×D79—44no—
786C4×D79—44no—
787Dic158—82no—
788C22×C79—22no—
789C22×C79—22no—
790C22×C79—22no—
791C22×C79—22no—
792C22×C79—22no—
793C22×C79—22no—
794C22×C79—22no—
795C22×C79—22no—
796C22×C79—22no—
797C22×C79—22no—
798C22×C79—22no—
799C22×C79—22no—
800C22×C79—41no—
801C22×C79—41no—
802C22×C79—41no—
803C22×C79—41no—
804C22×C79—41no—
805C22×C79—41no—
806C22×C79—41no—
807C22×C79—41no—
808C22×C79—41no—
809C22×C79—41no—
810C22×C79—41no—
811C22×C79—41no—
812C22×C79—41no—
813C22×C79—41no—
814C22×C79—41no—
815C22×C79—88no—
816C22×C79#53814yes—
817C22×C79C22×#4111yescharacteristic
818C22×C79C2×H(5,𝔽2)11yescharacteristic
819C22×C79C2×H(5,𝔽2)11yescharacteristic
820C22×C79C2×H(5,𝔽2)11yescharacteristic
821C22×C79C2×H(5,𝔽2)11yescharacteristic
822C22×C79C2×H(5,𝔽2)11yescharacteristic
823C22×C79#58511yescharacteristic
824C2×D79—22no—
825C2×D79—22no—
826C2×D79—22no—
827C2×D79—22no—
828C2×D79—22no—
829C2×D79—22no—
830C2×D79—416no—
831C2×D79—41no—
832C2×D79—41no—
833C2×D79—41no—
834C2×D79—41no—
835C2×D79—41no—
836C2×D79—41no—
837C2×D79—41no—
838C2×D79—41no—
839C2×D79—41no—
840C2×D79—41no—
841C2×D79—41no—
842C2×D79—41no—
843C2×D79—41no—
844C2×D79—41no—
845C2×D79—41no—
846C2×D79—41no—
847C2×D79—41no—
848C2×D79—41no—
849C2×D79—41no—
850C2×D79—41no—
851C2×D79—41no—
852C2×D79—41no—
853C2×D79—88no—
854C4×C79—41no—
855C4×C79—41no—
856C4×C79—41no—
857C4×C79—41no—
858C4×C79—41no—
859C4×C79—41no—
860C4×C79—41no—
861C4×C79—41no—
862C4×C79—41no—
863C4×C79—41no—
864C4×C79—41no—
865Dic79—22no—
866Dic79—41no—
867Dic79—41no—
868Dic79—41no—
869Dic79—41no—
870Dic79—41no—
871Dic79—41no—
872Dic79—41no—
873Dic79—41no—
874Dic79—41no—
875Dic79—41no—
876Dic79—41no—
877#36776—791nomaximal, Sylow
878C2×C79—24no—
879C2×C79—42no—
880C2×C79—42no—
881C2×C79—81no—
882C2×C79C2×#53811yescharacteristic
883C2×C79#349011yescharacteristic
884C2×C79#350511yescharacteristic
885C2×C79#353211yescharacteristic
886C2×C79#353411yescharacteristic
887C2×C79#353411yescharacteristic
888C2×C79#353711yescharacteristic
889D79—42no—
890D79—42no—
891D79—81no—
892D79—81no—
893#2849—791no—
894#2847—791no—
895#2778—791no—
896#2778—791no—
897#2760—791no—
898#2750—791no—
899#2749—791no—
900#2749—791no—
901#2743—791no—
902#2703—791no—
903#2697—791no—
904#2696—791no—
905#2688—791no—
906#2688—791no—
907#2684—791no—
908#2678—791no—
909#2676—791no—
910#2668—791no—
911#2643—791no—
912#2639—791no—
913#2510—791no—
914#2472—791no—
915#2444—791no—
916#2437—791no—
917#2424—791no—
918#2410—791no—
919#2410—791no—
920#2403—791no—
921#2321D7911yescharacteristic, complemented
922#2308—791no—
923C2×#386—791no—
924C79#3677611yescharacteristic, complemented, Sylow
925C23×D4—791no—
926C23×D4—791no—
927C24×C4—791no—
928C2×#124—791no—
929C2×#123—791no—
930C2×#123—791no—
931C2×C22⋊Q8—791no—
932C2×C22⋊Q8—791no—
933C2×#121—791no—
934C2×#121—791no—
935C2×#121—791no—
936C2×#121—791no—
937C2×#121—791no—
938C2×#121—791no—
939C2×#121—791no—
940C2×#120—791no—
941C2×#120—791no—
942C2×#120—791no—
943C2×#120—791no—
944C2×#120—791no—
945C2×#120—791no—
946C2×#120C2×D7911yescharacteristic
947C2×C4×D4C2×D7911yescharacteristic, complemented
948C22×C22⋊C4—791no—
949C22×C22⋊C4—791no—
950C22×C22⋊C4—791no—
951C22×C22⋊C4C2×D7911yescharacteristic
952#401—791no—
953#401—791no—
954#400—791no—
955#400—791no—
956#400—791no—
957#400—791no—
958#400—791no—
959#400—791no—
960#400—791no—
961#399—791no—
962#397—791no—
963#397—791no—
964#397—791no—
965#397—791no—
966#397—791no—
967#397—791no—
968#397—791no—
969#397—791no—
970#397—791no—
971#397—791no—
972#396—791no—
973#396—791no—
974#396—791no—
975#396—791no—
976#394—791no—
977#394—791no—
978#394—791no—
979#394—791no—
980#394—791no—
981#394—791no—
982#394—791no—
983#394—791no—
984#394—791no—
985#394—791no—
986#394—791no—
987#393—791no—
988#393—791no—
989#393—791no—
990#393—791no—
991#392—791no—
992#392—791no—
993#392—791no—
994#392—791no—
995#392—791no—
996#392—791no—
997#392—791no—
998#392—791no—
999#392—791no—
1000#390—791no—
1001#390—791no—
1002#390C2×D7911yescharacteristic, complemented
1003#390C2×D7911yescharacteristic, complemented
1004#388—791no—
1005#388—791no—
1006#388—791no—
1007#388—791no—
1008#388—791no—
1009#388—791no—
1010#388C2×D7911yescharacteristic, complemented
1011#388C2×D7911yescharacteristic, complemented
1012#388C2×D7911yescharacteristic, complemented
1013#388C2×D7911yescharacteristic, complemented
1014#387—791no—
1015#387—791no—
1016#386—791no—
1017#386—791no—
1018#386—791no—
1019#386—791no—
1020#386—791no—
1021#386—791no—
1022#386—791no—
1023#386—791no—
1024#386—791no—
1025#386—791no—
1026#386—791no—
1027#386—791no—
1028#386—791no—
1029#386—791no—
1030#386—791no—
1031#386—791no—
1032#386—791no—
1033#386—791no—
1034#386—791no—
1035#386—791no—
1036#386—791no—
1037#386—791no—
1038#386—791no—
1039#386—791no—
1040#386—791no—
1041#386—791no—
1042#386—791no—
1043#386—791no—
1044#386—791no—
1045#386—791no—
1046#386—791no—
1047#386—791no—
1048#386—791no—
1049#386—791no—
1050#386C2×D7911yescharacteristic, complemented
1051#386C2×D7911yescharacteristic, complemented
1052#386C2×D7911yescharacteristic, complemented
1053#385—791no—
1054#385—791no—
1055#385—791no—
1056#385—791no—
1057#385—791no—
1058#385—791no—
1059#385—791no—
1060#385—791no—
1061#385C2×D7911yescharacteristic, complemented
1062#383—791no—
1063#381—791no—
1064#381—791no—
1065#381—791no—
1066#381—791no—
1067#381—791no—
1068#380—791no—
1069#380—791no—
1070#380—791no—
1071#380—791no—
1072#379—791no—
1073#379—791no—
1074#379—791no—
1075#379—791no—
1076#379C2×D7911yescharacteristic
1077C4×C22⋊C4C2×D7911yescharacteristic, complemented
1078C2×#95—791no—
1079C2×#95—791no—
1080C25—791no—
1081C25—791no—
1082C25C22×D7911yescharacteristic
1083C22×Q8—791no—
1084C22×D4—3162no—
1085C22×D4—3162no—
1086C22×D4—3162no—
1087C22×D4—3162no—
1088C22×D4—791no—
1089C22×D4—791no—
1090C22×D4—791no—
1091C22×D4—791no—
1092C22×D4—791no—
1093C22×D4—791no—
1094C22×D4—791no—
1095C22×D4—791no—
1096C22×D4—791no—
1097C22×D4—791no—
1098C22×D4—791no—
1099C22×D4—791no—
1100C22×D4—791no—
1101C22×D4—791no—
1102C22×D4—791no—
1103C22×D4—791no—
1104C22×D4—1584no—
1105C22×D4—1584no—
1106C22×D4C22×D7911yescharacteristic
1107C22×D4C22×D7911yescharacteristic
1108C22×D4C22×D7911yescharacteristic
1109C23×C4—3162no—
1110C23×C4—3162no—
1111C23×C4—3162no—
1112C23×C4—791no—
1113C23×C4—791no—
1114C23×C4—791no—
1115C23×C4—791no—
1116C23×C4—791no—
1117C23×C4—791no—
1118C23×C4—791no—
1119C23×C4—791no—
1120C23×C4—791no—
1121C23×C4—791no—
1122C23×C4C22×D7911yescharacteristic
1123C23×C4C22×D7911yescharacteristic
1124C23×C4C22×D7911yescharacteristic
1125#124—3162no—
1126#123—3162no—
1127#123—3162no—
1128C22⋊Q8—3162no—
1129C22⋊Q8—3162no—
1130#121—3162no—
1131#121—3162no—
1132#121—3162no—
1133#121—3162no—
1134#121—3162no—
1135#121—3162no—
1136#121—3162no—
1137#120—24no—
1138#120—3162no—
1139#120—3162no—
1140#120—3162no—
1141#120—3162no—
1142#120—3162no—
1143#120—3162no—
1144C4×D4—42no—
1145C2×C4⋊C4—791no—
1146C2×C4⋊C4—791no—
1147C2×C4⋊C4—791no—
1148C2×C4⋊C4—791no—
1149C2×C4⋊C4—791no—
1150C2×C4⋊C4—791no—
1151C2×C4⋊C4—791no—
1152C2×C4⋊C4—791no—
1153C2×C4⋊C4—791no—
1154C2×C4⋊C4—791no—
1155C2×C4⋊C4—791no—
1156C2×C4⋊C4—791no—
1157C2×C4⋊C4—791no—
1158C2×C4⋊C4C22×D7911yescharacteristic
1159C2×C4⋊C4C22×D7911yescharacteristic
1160C2×C4⋊C4C22×D7911yescharacteristic
1161C2×C22⋊C4—42no—
1162C2×C22⋊C4—3162no—
1163C2×C22⋊C4—3162no—
1164C2×C22⋊C4—3162no—
1165C2×C22⋊C4—791no—
1166C2×C22⋊C4—791no—
1167C2×C22⋊C4—791no—
1168C2×C22⋊C4—791no—
1169C2×C22⋊C4—791no—
1170C2×C22⋊C4—791no—
1171C2×C22⋊C4—791no—
1172C2×C22⋊C4—791no—
1173C2×C22⋊C4—791no—
1174C2×C22⋊C4—791no—
1175C2×C22⋊C4—791no—
1176C2×C22⋊C4—791no—
1177C2×C22⋊C4—791no—
1178C2×C22⋊C4—791no—
1179C2×C22⋊C4—791no—
1180C2×C22⋊C4—791no—
1181C2×C22⋊C4—791no—
1182C2×C22⋊C4—791no—
1183C2×C22⋊C4—791no—
1184C2×C22⋊C4—791no—
1185C2×C22⋊C4—791no—
1186C2×C22⋊C4—791no—
1187C2×C22⋊C4—791no—
1188C2×C22⋊C4—791no—
1189C2×C22⋊C4—791no—
1190C2×C22⋊C4—791no—
1191C2×C22⋊C4—791no—
1192C2×C22⋊C4—791no—
1193C2×C22⋊C4—791no—
1194C2×C22⋊C4—791no—
1195C2×C22⋊C4—791no—
1196C2×C22⋊C4—791no—
1197C2×C22⋊C4—791no—
1198C2×C22⋊C4—791no—
1199C2×C22⋊C4—791no—
1200C2×C22⋊C4—791no—
1201C2×C22⋊C4—791no—
1202C2×C22⋊C4—791no—
1203C2×C22⋊C4—791no—
1204C2×C22⋊C4—791no—
1205C2×C22⋊C4—791no—
1206C2×C22⋊C4—791no—
1207C2×C22⋊C4—791no—
1208C2×C22⋊C4—791no—
1209C2×C22⋊C4C22×D7911yescharacteristic
1210C2×C22⋊C4C22×D7911yescharacteristic
1211C2×C22⋊C4C22×D7911yescharacteristic
1212C2×C22⋊C4C22×D7911yescharacteristic
1213C2×C22⋊C4C22×D7911yescharacteristic
1214C2×C22⋊C4C22×D7911yescharacteristic
1215C2×C22⋊C4C22×D7911yescharacteristic
1216C2×C22⋊C4C22×D7911yescharacteristic
1217C2×C22⋊C4C22×D7911yescharacteristic
1218C2×C22⋊C4C22×D7911yescharacteristic
1219C2×C22⋊C4C22×D7911yescharacteristic
1220C2×C22⋊C4C22×D7911yescharacteristic
1221C2×C22⋊C4C22×D7911yescharacteristic
1222C2×C22⋊C4C22×D7911yescharacteristic
1223C2×C22⋊C4C22×D7911yescharacteristic
1224C2×C22⋊C4C22×D7911yescharacteristic
1225C2×C42C22×D7911yescharacteristic
1226C2×C42C22×D7911yescharacteristic
1227C2×C42C22×D7911yescharacteristic
1228#95—791no—
1229#95—791no—
1230#95—791no—
1231#95—791no—
1232#95—791no—
1233#95—791no—
1234#95—791no—
1235#95—791no—
1236#95—791no—
1237#95—791no—
1238#95—791no—
1239#95—791no—
1240#95—791no—
1241#95—791no—
1242#95—791no—
1243#95—791no—
1244#95—791no—
1245#95—791no—
1246#95—791no—
1247#95—791no—
1248#95—791no—
1249#95—791no—
1250#95—791no—
1251#95—791no—
1252#95—791no—
1253#95—791no—
1254#95—791no—
1255#95—791no—
1256#95—791no—
1257#95—791no—
1258#95—791no—
1259#95—791no—
1260#95—791no—
1261#95—791no—
1262#95C22×D7911yescharacteristic
1263#95C22×D7911yescharacteristic
1264#95C22×D7911yescharacteristic
1265#95C22×D7911yescharacteristic
1266#95C22×D7911yescharacteristic
1267#95C22×D7911yescharacteristic
1268C24—22no—
1269C24—22no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—3161no—
1275C24—3161no—
1276C24—3161no—
1277C24—3161no—
1278C24—3161no—
1279C24—3161no—
1280C24—3161no—
1281C24—3161no—
1282C24—791no—
1283C24—791no—
1284C24—791no—
1285C24—791no—
1286C24—1582no—
1287C24—1582no—
1288C24—1582no—
1289C24—1582no—
1290C24—1582no—
1291C24—1582no—
1292C24#1192962414yes—
1293C24C23×D7911yescharacteristic
1294C24C23×D7911yescharacteristic
1295C24C23×D7911yescharacteristic
1296C24C23×D7911yescharacteristic
1297C2×Q8—3161no—
1298C2×Q8—3161no—
1299C2×Q8—3161no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—3161no—
1310C2×D4—3161no—
1311C2×D4—3161no—
1312C2×D4—3161no—
1313C2×D4—3161no—
1314C2×D4—3161no—
1315C2×D4—3161no—
1316C2×D4—3161no—
1317C2×D4—31616no—
1318C2×D4—31616no—
1319C2×D4—3161no—
1320C2×D4—3161no—
1321C2×D4—3161no—
1322C2×D4—3161no—
1323C2×D4—3161no—
1324C2×D4—3161no—
1325C2×D4—3161no—
1326C2×D4—3161no—
1327C2×D4—3161no—
1328C2×D4—3161no—
1329C2×D4—3161no—
1330C2×D4—3161no—
1331C2×D4—3161no—
1332C2×D4—3161no—
1333C2×D4—3161no—
1334C2×D4—3161no—
1335C2×D4—3161no—
1336C2×D4—1582no—
1337C2×D4—1582no—
1338C2×D4—1582no—
1339C2×D4—1582no—
1340C2×D4—1582no—
1341C2×D4—1582no—
1342C2×D4—1582no—
1343C2×D4—1582no—
1344C2×D4—1582no—
1345C2×D4—1582no—
1346C2×D4—1582no—
1347C2×D4—1582no—
1348C2×D4—1582no—
1349C2×D4—1582no—
1350C2×D4—1582no—
1351C2×D4—1582no—
1352C2×D4—1582no—
1353C2×D4—1582no—
1354C2×D4—1582no—
1355C2×D4—1582no—
1356C2×D4—1582no—
1357C2×D4—1582no—
1358C2×D4—1582no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—3161no—
1369C22×C4—3161no—
1370C22×C4—3161no—
1371C22×C4—3161no—
1372C22×C4—3161no—
1373C22×C4—3161no—
1374C22×C4—3161no—
1375C22×C4—3161no—
1376C22×C4—31616no—
1377C22×C4—3161no—
1378C22×C4—3161no—
1379C22×C4—3161no—
1380C22×C4—3161no—
1381C22×C4—3161no—
1382C22×C4—3161no—
1383C22×C4—3161no—
1384C22×C4—3161no—
1385C22×C4—3161no—
1386C22×C4—3161no—
1387C22×C4—3161no—
1388C22×C4—3161no—
1389C22×C4—3161no—
1390C22×C4—791no—
1391C22×C4—791no—
1392C22×C4—791no—
1393C22×C4—791no—
1394C22×C4—791no—
1395C22×C4—791no—
1396C22×C4—791no—
1397C22×C4—791no—
1398C22×C4—791no—
1399C22×C4—791no—
1400C22×C4—791no—
1401C22×C4—791no—
1402C22×C4—1582no—
1403C22×C4—1582no—
1404C22×C4—1582no—
1405C22×C4—1582no—
1406C22×C4—1582no—
1407C22×C4—1582no—
1408C22×C4—1582no—
1409C22×C4—1582no—
1410C22×C4—1582no—
1411C22×C4C23×D7911yescharacteristic
1412C22×C4C23×D7911yescharacteristic
1413C22×C4C23×D7911yescharacteristic
1414C22×C4C23×D7911yescharacteristic
1415C22×C4C23×D7911yescharacteristic
1416C22×C4C23×D7911yescharacteristic
1417C22×C4C23×D7911yescharacteristic
1418C22×C4C23×D7911yescharacteristic
1419C22×C4C23×D7911yescharacteristic
1420C22×C4C23×D7911yescharacteristic
1421C22×C4C23×D7911yescharacteristic
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—3161no—
1426C4⋊C4—3161no—
1427C4⋊C4—3161no—
1428C4⋊C4—3161no—
1429C4⋊C4—3161no—
1430C4⋊C4—3161no—
1431C4⋊C4—3161no—
1432C4⋊C4—3161no—
1433C4⋊C4—3161no—
1434C4⋊C4—3161no—
1435C4⋊C4—3161no—
1436C4⋊C4—1582no—
1437C4⋊C4—1582no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—3161no—
1455C22⋊C4—3161no—
1456C22⋊C4—3161no—
1457C22⋊C4—3161no—
1458C22⋊C4—3161no—
1459C22⋊C4—3161no—
1460C22⋊C4—3161no—
1461C22⋊C4—3161no—
1462C22⋊C4—3161no—
1463C22⋊C4—3161no—
1464C22⋊C4—3161no—
1465C22⋊C4—3161no—
1466C22⋊C4—3161no—
1467C22⋊C4—3161no—
1468C22⋊C4—3161no—
1469C22⋊C4—3161no—
1470C22⋊C4—3161no—
1471C22⋊C4—3161no—
1472C22⋊C4—3161no—
1473C22⋊C4—3161no—
1474C22⋊C4—3161no—
1475C22⋊C4—3161no—
1476C22⋊C4—3161no—
1477C22⋊C4—3161no—
1478C22⋊C4—3161no—
1479C22⋊C4—3161no—
1480C22⋊C4—3161no—
1481C22⋊C4—3161no—
1482C22⋊C4—3161no—
1483C22⋊C4—3161no—
1484C22⋊C4—3161no—
1485C22⋊C4—3161no—
1486C22⋊C4—3161no—
1487C22⋊C4—3161no—
1488C22⋊C4—3161no—
1489C22⋊C4—1582no—
1490C22⋊C4—1582no—
1491C22⋊C4—1582no—
1492C22⋊C4—1582no—
1493C22⋊C4—1582no—
1494C22⋊C4—1582no—
1495C22⋊C4—1582no—
1496C22⋊C4—1582no—
1497C22⋊C4—1582no—
1498C42—41no—
1499C42—41no—
1500C42—41no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—28no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—44no—
1526C23—44no—
1527C23—82no—
1528C23—82no—
1529C23—82no—
1530C23—82no—
1531C23—3164no—
1532C23—3164no—
1533C23—3164no—
1534C23—3164no—
1535C23—3164no—
1536C23—3164no—
1537C23—3164no—
1538C23—792no—
1539C23—792no—
1540C23—6322no—
1541C23—6322no—
1542C23—6322no—
1543C23—6322no—
1544C23—6322no—
1545C23—6322no—
1546C23—1588no—
1547C23—1581no—
1548C23—1581no—
1549C23—1581no—
1550C23—1581no—
1551C23—1581no—
1552C23—1581no—
1553C23—1581no—
1554C23—1581no—
1555C23—1581no—
1556C23—1581no—
1557C23—1581no—
1558C23—1581no—
1559C23—1581no—
1560C23—1581no—
1561C23—1581no—
1562C23—1581no—
1563C23—1581no—
1564C23—1581no—
1565C23—1581no—
1566C23—1581no—
1567C23—1581no—
1568C23—1581no—
1569C23—1581no—
1570C23—1581no—
1571C23—1581no—
1572C23—1581no—
1573C23C2×#1192962412yes—
1574C23C2×#1192962412yes—
1575C23C2×#1192962412yes—
1576C23#1457920612yes—
1577C23#1457920712yes—
1578C23C24×D7911yescharacteristic
1579Q8—6322no—
1580D4—44no—
1581D4—82no—
1582D4—82no—
1583D4—3164no—
1584D4—3164no—
1585D4—3164no—
1586D4—3164no—
1587D4—3164no—
1588D4—3164no—
1589D4—3164no—
1590D4—3164no—
1591D4—6322no—
1592D4—6322no—
1593D4—6322no—
1594D4—6322no—
1595D4—6322no—
1596D4—6322no—
1597D4—6322no—
1598D4—6322no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—44no—
1633C2×C4—82no—
1634C2×C4—82no—
1635C2×C4—3164no—
1636C2×C4—3164no—
1637C2×C4—3164no—
1638C2×C4—3164no—
1639C2×C4—3164no—
1640C2×C4—3164no—
1641C2×C4—3164no—
1642C2×C4—792no—
1643C2×C4—6322no—
1644C2×C4—6322no—
1645C2×C4—6322no—
1646C2×C4—1581no—
1647C2×C4—1581no—
1648C2×C4—1581no—
1649C2×C4—1581no—
1650C2×C4—1581no—
1651C2×C4—1581no—
1652C2×C4—1581no—
1653C2×C4—1581no—
1654C2×C4—1581no—
1655C2×C4—1581no—
1656C2×C4—1581no—
1657C2×C4—1581no—
1658C2×C4—1581no—
1659C2×C4—1581no—
1660C2×C4—1581no—
1661C2×C4—1581no—
1662C2×C4—1581no—
1663C2×C4—1581no—
1664C2×C4—1581no—
1665C2×C4—1581no—
1666C2×C4—1581no—
1667C2×C4—1581no—
1668C2×C4—1581no—
1669C2×C4—1581no—
1670C2×C4—1581no—
1671C2×C4—1581no—
1672C2×C4—1581no—
1673C2×C4—1581no—
1674C2×C4—1581no—
1675C2×C4—1581no—
1676C2×C4—1581no—
1677C2×C4—1581no—
1678C2×C4—1581no—
1679C2×C4—1581no—
1680C2×C4—1581no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—88no—
1709C22—31616no—
1710C22—3161no—
1711C22—3161no—
1712C22—3161no—
1713C22—3161no—
1714C22—3161no—
1715C22—3161no—
1716C22—3161no—
1717C22—3161no—
1718C22—3161no—
1719C22—3161no—
1720C22—3161no—
1721C22—3161no—
1722C22—3161no—
1723C22—3161no—
1724C22—3161no—
1725C22—3161no—
1726C22—3161no—
1727C22—3161no—
1728C22—3161no—
1729C22—3161no—
1730C22—3161no—
1731C22—3161no—
1732C22—6328no—
1733C22—1582no—
1734C22—1582no—
1735C22—1582no—
1736C22—1582no—
1737C22—1582no—
1738C22—1582no—
1739C22#1909914614yes—
1740C22C22×#1192962411yescharacteristic
1741C22H(5,𝔽2)×D7911yescharacteristic
1742C22H(5,𝔽2)×D7911yescharacteristic
1743C22H(5,𝔽2)×D7911yescharacteristic
1744C22C2×#1457920611yescharacteristic
1745C22C2×#1457920711yescharacteristic
1746C22#1909939811yescharacteristic
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—3161no—
1759C4—3161no—
1760C4—3161no—
1761C4—3161no—
1762C4—3161no—
1763C4—3161no—
1764C4—3161no—
1765C4—3161no—
1766C4—3161no—
1767C4—3161no—
1768C4—3161no—
1769C4—1582no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—81no—
1774C2—3162no—
1775C2—3162no—
1776C2—6321no—
1777C2—6321no—
1778C2C2×#1909914611yescharacteristic
1779C2#2377708511yescharacteristic
1780C2#2377723011yescharacteristic
1781C2#2377755411yescharacteristic
1782C2#2377758011yescharacteristic
1783C2#2377759111yescharacteristic
1784C2#2377763211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2321C2
hypercenter#2321D79
hypocenterC79#36776
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
1. #23771695C2semidirect
2. #23771681C2semidirect
3. #23771015C2semidirect
4. #23771013C2semidirect
5. #23770776C2semidirect
6. #23770636C2semidirect
7. #23770621C2semidirect
8. #23770618C2semidirect
9. #23770540C2semidirect
10. #23770040C2semidirect
11. #23769960C2semidirect
12. #23769947C2semidirect
13. #23769840C2semidirect
14. #23769833C2semidirect
15. #23769781C2semidirect
16. #23769722C2semidirect
17. #23769698C2semidirect
18. #23769605C2semidirect
19. #23769356C2semidirect
20. #23769330C2semidirect
21. #23767954C2semidirect
22. #23767526C2semidirect
23. #23767144C2semidirect
24. #23767066C2semidirect
25. #23766930C2semidirect
26. #23766775C2semidirect
27. #23766775C2semidirect
28. #23766713C2semidirect
29. #23765975C2semidirect
30. C2×#19098439C2semidirect
31. C79×#2321C2semidirect
34. C23×C4×D79C22semidirect
35. C2×#14579149C22semidirect
36. C2×#14579146C22semidirect
37. C2×#14579146C22semidirect
38. C2×#14579138C22semidirect
39. C2×#14579138C22semidirect
40. C2×#14579135C22semidirect
41. C2×#14579134C22semidirect
42. C2×#14579134C22semidirect
45. C2×#14579133C22semidirect
46. C2×#14579133C22semidirect
51. C2×#14579129C22semidirect
52. C2×#14579129C22semidirect
55. C22×(C2×D79)⋊C4C22semidirect
56. C79⋊#401C22semidirect
57. C79⋊#401C22semidirect
58. #19098505C22semidirect
59. #19098505C22semidirect
60. #19098504C22semidirect
61. #19098504C22semidirect
62. #19098502C22semidirect
63. #19098501C22semidirect
64. #19098501C22semidirect
65. #19098499C22semidirect
66. #19098492C22semidirect
67. #19098492C22semidirect
68. #19098492C22semidirect
69. #19098492C22semidirect
70. #19098491C22semidirect
71. #19098491C22semidirect
72. #19098490C22semidirect
73. #19098490C22semidirect
74. #19098489C22semidirect
75. #19098489C22semidirect
76. #19098486C22semidirect
77. #19098486C22semidirect
78. #19098485C22semidirect
79. #19098485C22semidirect
80. #19098481C22semidirect
81. #19098481C22semidirect
82. #19098480C22semidirect
83. #19098479C22semidirect
84. #19098479C22semidirect
87. #19098478C22semidirect
88. #19098478C22semidirect
89. #19098478C22semidirect
90. #19098478C22semidirect
91. #19098476C22semidirect
92. #19098476C22semidirect
93. #19098475C22semidirect
94. #19098475C22semidirect
99. #19098472C22semidirect
102. #19098471C22semidirect
103. #19098471C22semidirect
104. #19098465C22semidirect
105. #19098465C22semidirect
106. #19098454C22semidirect
107. #19098454C22semidirect
108. #19098454C22semidirect
109. #19098454C22semidirect
110. #19098454C22semidirect
111. #19098454C22semidirect
112. #19098447C22semidirect
113. #19098447C22semidirect
114. #19098443C22semidirect
115. #19098443C22semidirect
120. #19098442C22semidirect
121. #19098442C22semidirect
122. #19098441C22semidirect
123. #19098441C22semidirect
124. #19098441C22semidirect
125. #19098441C22semidirect
132. #19098440C22semidirect
133. #19098440C22semidirect
134. #19098440C22semidirect
135. #19098440C22semidirect
136. #19098440C22semidirect
137. #19098440C22semidirect
142. #19098439C22semidirect
143. #19098439C22semidirect
144. #19098439C22semidirect
145. #19098439C22semidirect
146. #19098439C22semidirect
147. #19098439C22semidirect
148. #19098438C22semidirect
149. #19098438C22semidirect
150. #19098435C22semidirect
151. #19098435C22semidirect
152. #19098435C22semidirect
153. #19098435C22semidirect
154. #19098434C22semidirect
155. #19098434C22semidirect
156. #19098431C22semidirect
157. #19098426C22semidirect
158. #19098425C22semidirect
159. #19098425C22semidirect
160. #19098424C22semidirect
161. #19098424C22semidirect
162. #19098422C22semidirect
163. #19098422C22semidirect
164. #19098421C22semidirect
165. #19098421C22semidirect
166. #19098418C22semidirect
167. #19098418C22semidirect
168. #19098418C22semidirect
169. #19098418C22semidirect
170. C2×C79⋊#95C22semidirect
171. C2×C79⋊#95C22semidirect
173. C2×C4×D4×C79C22semidirect
175. #390×C79C22semidirect
176. #390×C79C22semidirect
177. #388×C79C22semidirect
178. #388×C79C22semidirect
179. #388×C79C22semidirect
180. #388×C79C22semidirect
181. #386×C79C22semidirect
182. #386×C79C22semidirect
183. #386×C79C22semidirect
184. #385×C79C22semidirect
186. C4×C22⋊C4×C79C22semidirect
921. #2321D79semidirect
924. C79#36776semidirect
947. C2×C4×D4C2×D79semidirect
1002. #390C2×D79semidirect
1003. #390C2×D79semidirect
1010. #388C2×D79semidirect
1011. #388C2×D79semidirect
1012. #388C2×D79semidirect
1013. #388C2×D79semidirect
1050. #386C2×D79semidirect
1051. #386C2×D79semidirect
1052. #386C2×D79semidirect
1061. #385C2×D79semidirect
1077. C4×C22⋊C4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716952
#237716812
#237710152
#237710132
#237707762
#237706362
#237706212
#237706182
#237705402
#237700402
#237699602
#237699472
#237698402
#237698332
#237697812
#237697222
#237696982
#237696052
#237693562
#237693302
#237679542
#237675262
#237671442
#237670662
#237669302
#237667752
#237667132
#237659752
C2×#190984392
C79×#23212
#3677679