Finite Group Databasebeta

← #34497571

Subgroups — #34497571

Order 20224.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771717C211yesmaximal, characteristic, complemented
2#23771706C211yesmaximal, characteristic, complemented
3#23771244C211yesmaximal, characteristic, complemented
4#23771121C211yesmaximal, characteristic, complemented
5#23770739C211yesmaximal, characteristic, complemented
6#23770504C211yesmaximal, characteristic, complemented
7#23770459C211yesmaximal, characteristic, complemented
8#23770325C211yesmaximal, characteristic, complemented
9#23770159C211yesmaximal, characteristic, complemented
10#23770150C211yesmaximal, characteristic, complemented
11#23770099C211yesmaximal, characteristic, complemented
12#23770092C211yesmaximal, characteristic, complemented
13#23770077C211yesmaximal, characteristic, complemented
14#23770069C211yesmaximal, characteristic, complemented
15#23769946C211yesmaximal, characteristic, complemented
16#23769916C211yesmaximal, characteristic, complemented
17#23769886C211yesmaximal, characteristic, complemented
18#23769751C211yesmaximal, characteristic, complemented
19#23769209C211yesmaximal, characteristic, complemented
20#23769176C211yesmaximal, characteristic, complemented
21#23767645C211yesmaximal, characteristic, complemented
22#23767540C211yesmaximal, characteristic, complemented
23#23767207C211yesmaximal, characteristic, complemented
24#23767066C211yesmaximal, characteristic, complemented
25#23766866C211yesmaximal, characteristic, complemented
26#23766796C211yesmaximal, characteristic, complemented
27#23766774C211yesmaximal, characteristic
28#23766055C211yesmaximal, characteristic, complemented
29#23766014C211yesmaximal, characteristic, complemented
30C2×#19098466C211yesmaximal, characteristic, complemented
31C79×#2405C211yesmaximal, characteristic, complemented
32C2×#14579156C2211yescharacteristic, complemented
33C2×#14579154C2211yescharacteristic, complemented
34C2×#14579152C2211yescharacteristic, complemented
35C2×#14579151C2211yescharacteristic, complemented
36C2×#14579144C2211yescharacteristic, complemented
37C2×#14579143C2211yescharacteristic, complemented
38C2×#14579141C2211yescharacteristic, complemented
39C2×#14579138C2211yescharacteristic
40C2×#14579138C2211yescharacteristic, complemented
41C2×#14579133C2211yescharacteristic
42C2×#14579133C2211yescharacteristic
43C2×#14579130C2211yescharacteristic
44C2×#14579130C2211yescharacteristic
45C2×(C22⋊D79)⋊C4C2211yescharacteristic
46C22×C4⋊Dic79C2211yescharacteristic
47C22×C22⋊Dic79C2211yescharacteristic
48C22×C22⋊Dic79C2211yescharacteristic
49C22×C22⋊Dic79C2211yescharacteristic
50C22×C22⋊Dic79C2211yescharacteristic
51C22×C22⋊Dic79C2211yescharacteristic
52C22×C4×Dic79C2211yescharacteristic
53#19098502C2211yescharacteristic, complemented
54#19098500C2211yescharacteristic, complemented
55#19098499C2211yescharacteristic, complemented
56#19098499C2211yescharacteristic, complemented
57#19098499C2211yescharacteristic, complemented
58#19098499C2211yescharacteristic, complemented
59#19098496C2211yescharacteristic, complemented
60#19098495C2211yescharacteristic, complemented
61#19098495C2211yescharacteristic, complemented
62#19098493C2211yescharacteristic, complemented
63#19098491C2211yescharacteristic, complemented
64#19098491C2211yescharacteristic, complemented
65#19098491C2211yescharacteristic, complemented
66#19098491C2211yescharacteristic, complemented
67#19098491C2211yescharacteristic, complemented
68#19098488C2211yescharacteristic, complemented
69#19098488C2211yescharacteristic, complemented
70#19098488C2211yescharacteristic, complemented
71#19098488C2211yescharacteristic, complemented
72#19098488C2211yescharacteristic, complemented
73#19098486C2211yescharacteristic, complemented
74#19098486C2211yescharacteristic, complemented
75#19098486C2211yescharacteristic, complemented
76#19098486C2211yescharacteristic, complemented
77#19098486C2211yescharacteristic, complemented
78#19098486C2211yescharacteristic, complemented
79#19098486C2211yescharacteristic, complemented
80#19098485C2211yescharacteristic, complemented
81#19098484C2211yescharacteristic, complemented
82#19098479C2211yescharacteristic, complemented
83#19098479C2211yescharacteristic, complemented
84#19098479C2211yescharacteristic, complemented
85#19098479C2211yescharacteristic, complemented
86#19098479C2211yescharacteristic, complemented
87#19098478C2211yescharacteristic, complemented
88#19098478C2211yescharacteristic, complemented
89#19098478C2211yescharacteristic, complemented
90#19098477C2211yescharacteristic
91#19098477C2211yescharacteristic
92#19098475C2211yescharacteristic, complemented
93#19098475C2211yescharacteristic, complemented
94#19098475C2211yescharacteristic, complemented
95#19098471C2211yescharacteristic
96#19098471C2211yescharacteristic
97#19098466C2211yescharacteristic
98#19098466C2211yescharacteristic
99#19098466C2211yescharacteristic
100#19098466C2211yescharacteristic
101#19098466C2211yescharacteristic
102#19098466C2211yescharacteristic
103#19098466C2211yescharacteristic
104#19098466C2211yescharacteristic
105#19098463C2211yescharacteristic, complemented
106#19098463C2211yescharacteristic, complemented
107#19098462C2211yescharacteristic, complemented
108#19098462C2211yescharacteristic, complemented
109#19098460C2211yescharacteristic, complemented
110#19098458C2211yescharacteristic, complemented
111#19098457C2211yescharacteristic, complemented
112#19098457C2211yescharacteristic, complemented
113#19098457C2211yescharacteristic, complemented
114#19098457C2211yescharacteristic, complemented
115#19098456C2211yescharacteristic, complemented
116#19098456C2211yescharacteristic, complemented
117#19098455C2211yescharacteristic, complemented
118#19098453C2211yescharacteristic, complemented
119#19098452C2211yescharacteristic, complemented
120#19098451C2211yescharacteristic, complemented
121#19098451C2211yescharacteristic, complemented
122#19098451C2211yescharacteristic, complemented
123#19098450C2211yescharacteristic, complemented
124#19098449C2211yescharacteristic, complemented
125#19098449C2211yescharacteristic, complemented
126#19098448C2211yescharacteristic, complemented
127#19098448C2211yescharacteristic, complemented
128#19098446C2211yescharacteristic, complemented
129#19098446C2211yescharacteristic, complemented
130#19098445C2211yescharacteristic, complemented
131#19098444C2211yescharacteristic, complemented
132#19098444C2211yescharacteristic, complemented
133#19098443C2211yescharacteristic
134#19098443C2211yescharacteristic
135#19098442C2211yescharacteristic
136#19098442C2211yescharacteristic, complemented
137#19098440C2211yescharacteristic
138#19098440C2211yescharacteristic
139#19098440C2211yescharacteristic
140#19098439C2211yescharacteristic, complemented
141#19098439C2211yescharacteristic, complemented
142#19098439C2211yescharacteristic, complemented
143#19098438C2211yescharacteristic
144#19098438C2211yescharacteristic
145#19098438C2211yescharacteristic
146#19098438C2211yescharacteristic
147#19098438C2211yescharacteristic
148#19098438C2211yescharacteristic, complemented
149#19098438C2211yescharacteristic, complemented
150#19098438C2211yescharacteristic, complemented
151#19098438C2211yescharacteristic, complemented
152#19098438C2211yescharacteristic, complemented
153#19098437C2211yescharacteristic, complemented
154#19098436C2211yescharacteristic
155#19098436C2211yescharacteristic, complemented
156#19098435C2211yescharacteristic
157#19098435C2211yescharacteristic
158#19098435C2211yescharacteristic, complemented
159#19098430C2211yescharacteristic, complemented
160#19098427C2211yescharacteristic, complemented
161#19098426C2211yescharacteristic, complemented
162#19098423C2211yescharacteristic, complemented
163#19098423C2211yescharacteristic, complemented
164#19098423C2211yescharacteristic, complemented
165#19098423C2211yescharacteristic, complemented
166#19098421C2211yescharacteristic
167#19098421C2211yescharacteristic
168#19098421C2211yescharacteristic
169#19098421C2211yescharacteristic, complemented
170#19098419C2211yescharacteristic
171C22⋊C4×Dic79C2211yescharacteristic
172C23×D4×C79C2211yescharacteristic
173C2×#123×C79C2211yescharacteristic
174C2×#123×C79C2211yescharacteristic
175C22×C22⋊C4×C79C2211yescharacteristic
176#394×C79C2211yescharacteristic
177#394×C79C2211yescharacteristic
178#394×C79C2211yescharacteristic
179#394×C79C2211yescharacteristic
180#386×C79C2211yescharacteristic
181#386×C79C2211yescharacteristic
182#385×C79C2211yescharacteristic
183#385×C79C2211yescharacteristic
184#379×C79C2211yescharacteristic
185#379×C79C2211yescharacteristic
186#379×C79C2211yescharacteristic
187C22×Dic158C2311yescharacteristic
188C22×C22⋊D79C2311yescharacteristic
189C22×C22⋊D79C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C23×Dic79C2311yescharacteristic
194C23×Dic79C2311yescharacteristic
195C23×Dic79C2311yescharacteristic
196C23×Dic79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C22×C4×D79C2311yescharacteristic
200#14579156—42no—
201#14579154—42no—
202#14579152—42no—
203#14579151—42no—
204#14579144—42no—
205#14579143—42no—
206#14579141—42no—
207#14579138—42no—
208#14579138—42no—
209#14579133—42no—
210#14579133—42no—
211#14579130—24no—
212#14579130—42no—
213(C22⋊D79)⋊C4—42no—
214C2×C4⋊Dic79—42no—
215C2×C4⋊Dic79C2311yescharacteristic
216C2×C4⋊Dic79C2311yescharacteristic
217C2×C4⋊Dic79C2311yescharacteristic
218C2×C4⋊Dic79C2311yescharacteristic
219C2×C4⋊Dic79C2311yescharacteristic
220C2×C4⋊Dic79C2311yescharacteristic
221C2×C4⋊Dic79C2311yescharacteristic
222C2×C4⋊Dic79C2311yescharacteristic
223C2×C4⋊Dic79C2311yescharacteristic
224C2×C4⋊Dic79C2311yescharacteristic
225C2×C4⋊Dic79C2311yescharacteristic
226C2×C4⋊Dic79C2311yescharacteristic
227C2×C4⋊Dic79C2311yescharacteristic
228C2×C4⋊Dic79C2311yescharacteristic
229C2×C4⋊Dic79C2311yescharacteristic
230C2×Dic79⋊C4C2311yescharacteristic
231C2×Dic79⋊C4C2311yescharacteristic
232C2×Dic79⋊C4C2311yescharacteristic
233C2×Dic79⋊C4C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×C22⋊Dic79—42no—
246C2×C22⋊Dic79—42no—
247C2×C22⋊Dic79—42no—
248C2×C22⋊Dic79—42no—
249C2×C22⋊Dic79—42no—
250C2×C22⋊Dic79C2311yescharacteristic
251C2×C22⋊Dic79C2311yescharacteristic
252C2×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
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×C4×Dic79—42no—
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C79⋊#95C2311yescharacteristic
297C79⋊#95C2311yescharacteristic
298C79⋊#95C2311yescharacteristic
299C79⋊#95C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
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
328C25×C79C2311yescharacteristic
329C25×C79C2311yescharacteristic
330C22×D4×C79—24no—
331C22×D4×C79—42no—
332C22×D4×C79—42no—
333C22×D4×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C22×D4×C79C2311yescharacteristic
336C22×D4×C79C2311yescharacteristic
337C23×C4×C79C2311yescharacteristic
338C23×C4×C79C2311yescharacteristic
339C23×C4×C79C2311yescharacteristic
340#123×C79—42no—
341#123×C79—42no—
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79—24no—
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
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
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79C2411yescharacteristic
370C2×Dic158—41no—
371C2×Dic158—41no—
372C2×Dic158—41no—
373C2×C22⋊D79—22no—
374C2×C22⋊D79—22no—
375C2×C22⋊D79—22no—
376C2×C22⋊D79—22no—
377C2×C22⋊D79—22no—
378C2×C22⋊D79—41no—
379C2×C22⋊D79—41no—
380C2×C22⋊D79—41no—
381C2×C22⋊D79—41no—
382C2×C22⋊D79—41no—
383C2×C22⋊D79—41no—
384C2×C22⋊D79—41no—
385C2×C22⋊D79—41no—
386C2×C22⋊D79—41no—
387C2×C22⋊D79—41no—
388C22×Dic79—22no—
389C22×Dic79—22no—
390C22×Dic79—22no—
391C22×Dic79—22no—
392C22×Dic79—22no—
393C22×Dic79—41no—
394C22×Dic79—41no—
395C22×Dic79—41no—
396C22×Dic79—41no—
397C22×Dic79—41no—
398C22×Dic79—41no—
399C22×Dic79—41no—
400C22×Dic79—41no—
401C22×Dic79—41no—
402C22×Dic79—41no—
403C22×Dic79—41no—
404C22×Dic79—41no—
405C22×Dic79—41no—
406C22×Dic79C2411yescharacteristic
407C22×Dic79C2411yescharacteristic
408C22×Dic79C2411yescharacteristic
409C22×Dic79C2411yescharacteristic
410C22×Dic79C2411yescharacteristic
411C22×Dic79C2411yescharacteristic
412C22×Dic79C2411yescharacteristic
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C2×C4×D79—41no—
422C2×C4×D79—41no—
423C2×C4×D79—41no—
424C4⋊Dic79—22no—
425C4⋊Dic79—22no—
426C4⋊Dic79—41no—
427C4⋊Dic79—41no—
428C4⋊Dic79—41no—
429C4⋊Dic79—41no—
430C4⋊Dic79—41no—
431C4⋊Dic79—41no—
432C4⋊Dic79—41no—
433C4⋊Dic79—41no—
434C4⋊Dic79—41no—
435C4⋊Dic79—41no—
436C4⋊Dic79—41no—
437C4⋊Dic79—41no—
438C4⋊Dic79—41no—
439Dic79⋊C4—22no—
440Dic79⋊C4—22no—
441Dic79⋊C4—22no—
442Dic79⋊C4—22no—
443Dic79⋊C4—22no—
444Dic79⋊C4—41no—
445Dic79⋊C4—41no—
446Dic79⋊C4—41no—
447Dic79⋊C4—41no—
448Dic79⋊C4—41no—
449Dic79⋊C4—41no—
450Dic79⋊C4—41no—
451Dic79⋊C4—41no—
452Dic79⋊C4—41no—
453Dic79⋊C4—41no—
454C22⋊Dic79—22no—
455C22⋊Dic79—22no—
456C22⋊Dic79—22no—
457C22⋊Dic79—22no—
458C22⋊Dic79—22no—
459C22⋊Dic79—22no—
460C22⋊Dic79—22no—
461C22⋊Dic79—22no—
462C22⋊Dic79—22no—
463C22⋊Dic79—41no—
464C22⋊Dic79—41no—
465C22⋊Dic79—41no—
466C22⋊Dic79—41no—
467C22⋊Dic79—41no—
468C22⋊Dic79—41no—
469C22⋊Dic79—41no—
470C22⋊Dic79—41no—
471C22⋊Dic79—41no—
472C22⋊Dic79—41no—
473C22⋊Dic79—41no—
474C22⋊Dic79—41no—
475C22⋊Dic79—41no—
476C22⋊Dic79—41no—
477C22⋊Dic79—41no—
478C22⋊Dic79—41no—
479C22⋊Dic79—41no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483(C2×D79)⋊C4—22no—
484(C2×D79)⋊C4—22no—
485(C2×D79)⋊C4—22no—
486(C2×D79)⋊C4—41no—
487(C2×D79)⋊C4—41no—
488(C2×D79)⋊C4—41no—
489(C2×D79)⋊C4—41no—
490(C2×D79)⋊C4—41no—
491(C2×D79)⋊C4—41no—
492C4×Dic79—22no—
493C4×Dic79—22no—
494C4×Dic79—41no—
495C4×Dic79—41no—
496C4×Dic79—41no—
497C4×Dic79—41no—
498C4×Dic79—41no—
499C24×C79—22no—
500C24×C79—22no—
501C24×C79—22no—
502C24×C79—22no—
503C24×C79—22no—
504C24×C79—41no—
505C24×C79—41no—
506C24×C79—41no—
507C24×C79—41no—
508C24×C79—41no—
509C24×C79—41no—
510C24×C79—41no—
511C24×C79—41no—
512C24×C79#4114yes—
513C24×C79C2411yescharacteristic
514C24×C79C2411yescharacteristic
515C24×C79C2411yescharacteristic
516C24×C79C2411yescharacteristic
517C24×C79C2411yescharacteristic
518C2×D4×C79—22no—
519C2×D4×C79—22no—
520C2×D4×C79—22no—
521C2×D4×C79—22no—
522C2×D4×C79—22no—
523C2×D4×C79—22no—
524C2×D4×C79—22no—
525C2×D4×C79—22no—
526C2×D4×C79—41no—
527C2×D4×C79—41no—
528C2×D4×C79—41no—
529C2×D4×C79—41no—
530C2×D4×C79—416no—
531C22×C4×C79—22no—
532C22×C4×C79—22no—
533C22×C4×C79—22no—
534C22×C4×C79—22no—
535C22×C4×C79—22no—
536C22×C4×C79—41no—
537C22×C4×C79—41no—
538C22×C4×C79—41no—
539C22×C4×C79—41no—
540C22×C4×C79C2411yescharacteristic
541C22×C4×C79C2411yescharacteristic
542C22×C4×C79C2411yescharacteristic
543C22×C4×C79C2411yescharacteristic
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C4⋊C4×C79—22no—
551C4⋊C4×C79—22no—
552C4⋊C4×C79—22no—
553C4⋊C4×C79—22no—
554C22⋊C4×C79—22no—
555C22⋊C4×C79—22no—
556C22⋊C4×C79—22no—
557C22⋊C4×C79—22no—
558C22⋊C4×C79—22no—
559C22⋊C4×C79—22no—
560C22⋊C4×C79—41no—
561C22⋊C4×C79—41no—
562C22⋊C4×C79—41no—
563C22⋊C4×C79—41no—
564C22⋊C4×C79—41no—
565C22⋊C4×C79—41no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C22⋊C4×C79—41no—
572C23×C79—21no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
576C23×C79—21no—
577C23×C79—21no—
578C23×C79—21no—
579C23×C79—21no—
580C23×C79—21no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—28no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—21no—
603C23×C79—44no—
604C23×C79—44no—
605C23×C79—44no—
606C23×C79—44no—
607C23×C79—44no—
608C23×C79—82no—
609C23×C79—82no—
610C23×C79—82no—
611C23×C79—82no—
612C23×C79—82no—
613C23×C79—82no—
614C23×C79—82no—
615C23×C79—82no—
616C23×C79C2×#4112yes—
617C23×C79C2×#4112yes—
618C23×C79C2×#4112yes—
619C23×C79H(5,𝔽2)12yes—
620C23×C792−1+412yes—
621C23×C79C2511yescharacteristic
622C22×D79—21no—
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629D4×C79—44no—
630D4×C79—44no—
631D4×C79—44no—
632D4×C79—44no—
633C2×C4×C79—28no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—82no—
663C2×C4×C79—82no—
664C2×C4×C79H(5,𝔽2)12yes—
665C2×C4×C79H(5,𝔽2)12yes—
666C22⋊D79—44no—
667C22⋊D79—82no—
668C22⋊D79—82no—
669C22⋊D79—82no—
670C22⋊D79—82no—
671C2×Dic79—21no—
672C2×Dic79—21no—
673C2×Dic79—21no—
674C2×Dic79—21no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—44no—
716C2×Dic79—44no—
717C2×Dic79—82no—
718C2×Dic79—82no—
719C2×Dic79—82no—
720C2×Dic79—82no—
721C2×Dic79H(5,𝔽2)12yes—
722C4×D79—82no—
723Dic158—82no—
724C22×C79—22no—
725C22×C79—22no—
726C22×C79—22no—
727C22×C79—22no—
728C22×C79—22no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—22no—
735C22×C79—22no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
748C22×C79—41no—
749C22×C79—41no—
750C22×C79—41no—
751C22×C79—41no—
752C22×C79—41no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79—88no—
759C22×C79—88no—
760C22×C79#53914yes—
761C22×C79C22×#4111yescharacteristic
762C22×C79C2×H(5,𝔽2)11yescharacteristic
763C22×C79C2×H(5,𝔽2)11yescharacteristic
764C22×C79C2×H(5,𝔽2)11yescharacteristic
765C22×C79C2×H(5,𝔽2)11yescharacteristic
766C22×C79C2×2−1+411yescharacteristic
767C22×C79#58511yescharacteristic
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C2×D79—41no—
775C4×C79—22no—
776C4×C79—22no—
777C4×C79—41no—
778C4×C79—41no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785Dic79—22no—
786Dic79—41no—
787Dic79—41no—
788Dic79—41no—
789Dic79—41no—
790Dic79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800#36807—791nomaximal, Sylow
801C2×C79—24no—
802C2×C79—42no—
803C2×C79—42no—
804C2×C79—81no—
805C2×C79—81no—
806C2×C79C2×#53911yescharacteristic
807C2×C79#349011yescharacteristic
808C2×C79#350511yescharacteristic
809C2×C79#353611yescharacteristic
810C2×C79#354211yescharacteristic
811C2×C79#354311yescharacteristic
812C2×C79#356111yescharacteristic
813D79—81no—
814#2852—791no—
815#2851—791no—
816#2796—791no—
817#2786—791no—
818#2757—791no—
819#2740—791no—
820#2737—791no—
821#2723—791no—
822#2711—791no—
823#2711—791no—
824#2707—791no—
825#2706—791no—
826#2705—791no—
827#2705—791no—
828#2696—791no—
829#2694—791no—
830#2691—791no—
831#2681—791no—
832#2626—791no—
833#2622—791no—
834#2480—791no—
835#2473—791no—
836#2449—791no—
837#2437—791no—
838#2418—791no—
839#2412—791no—
840#2410—791no—
841#2405D7911yescharacteristic, complemented
842#2321—791no—
843#2315—791no—
844C2×#390—791no—
845C79#3680711yescharacteristic, complemented, Sylow
846C23×D4C2×D7911yescharacteristic
847C2×#126—791no—
848C2×#126—791no—
849C2×#125—791no—
850C2×#125—791no—
851C2×#123—791no—
852C2×#123—791no—
853C2×#123C2×D7911yescharacteristic
854C2×#123C2×D7911yescharacteristic
855C2×C22⋊Q8—791no—
856C2×C22⋊Q8—791no—
857C2×C22⋊Q8—791no—
858C2×#121—791no—
859C2×#121—791no—
860C2×#120—791no—
861C2×#120—791no—
862C2×C4×D4—791no—
863C22×C4⋊C4—791no—
864C22×C22⋊C4—791no—
865C22×C22⋊C4—791no—
866C22×C22⋊C4—791no—
867C22×C22⋊C4—791no—
868C22×C22⋊C4—791no—
869C22×C22⋊C4C2×D7911yescharacteristic
870C22×C42—791no—
871#400—791no—
872#399—791no—
873#399—791no—
874#399—791no—
875#399—791no—
876#399—791no—
877#398—791no—
878#398—791no—
879#398—791no—
880#398—791no—
881#397—791no—
882#397—791no—
883#397—791no—
884#397—791no—
885#397—791no—
886#397—791no—
887#397—791no—
888#397—791no—
889#397—791no—
890#397—791no—
891#396—791no—
892#396—791no—
893#396—791no—
894#396—791no—
895#396—791no—
896#396—791no—
897#396—791no—
898#396—791no—
899#395—791no—
900#394—791no—
901#394—791no—
902#394—791no—
903#394—791no—
904#394—791no—
905#394—791no—
906#394—791no—
907#394—791no—
908#394—791no—
909#394—791no—
910#394C2×D7911yescharacteristic
911#394C2×D7911yescharacteristic
912#394C2×D7911yescharacteristic
913#394C2×D7911yescharacteristic
914#393—791no—
915#393—791no—
916#393—791no—
917#392—791no—
918#392—791no—
919#390—791no—
920#390—791no—
921#390—791no—
922#390—791no—
923#390—791no—
924#390—791no—
925#390—791no—
926#390—791no—
927#390—791no—
928#390—791no—
929#389—791no—
930#389—791no—
931#389—791no—
932#389—791no—
933#388—791no—
934#388—791no—
935#388—791no—
936#388—791no—
937#388—791no—
938#388—791no—
939#388—791no—
940#388—791no—
941#388—791no—
942#388—791no—
943#388—791no—
944#388—791no—
945#387—791no—
946#387—791no—
947#387—791no—
948#387—791no—
949#387—791no—
950#387—791no—
951#387—791no—
952#387—791no—
953#387—791no—
954#387—791no—
955#386—791no—
956#386—791no—
957#386—791no—
958#386—791no—
959#386—791no—
960#386—791no—
961#386—791no—
962#386—791no—
963#386—791no—
964#386—791no—
965#386C2×D7911yescharacteristic
966#386C2×D7911yescharacteristic
967#385—791no—
968#385—791no—
969#385—791no—
970#385—791no—
971#385—791no—
972#385—791no—
973#385—791no—
974#385—791no—
975#385—791no—
976#385—791no—
977#385—791no—
978#385—791no—
979#385—791no—
980#385—791no—
981#385—791no—
982#385—791no—
983#385C2×D7911yescharacteristic
984#385C2×D7911yescharacteristic
985#383—791no—
986#382—791no—
987#381—791no—
988#380—791no—
989#380—791no—
990#380—791no—
991#380—791no—
992#380—791no—
993#380—791no—
994#380—791no—
995#380—791no—
996#379—791no—
997#379C2×D7911yescharacteristic
998#379C2×D7911yescharacteristic
999#379C2×D7911yescharacteristic
1000C4×C22⋊C4—791no—
1001C25C22×D7911yescharacteristic
1002C25C22×D7911yescharacteristic
1003C22×Q8—791no—
1004C22×D4—24no—
1005C22×D4—42no—
1006C22×D4—42no—
1007C22×D4—791no—
1008C22×D4—791no—
1009C22×D4—791no—
1010C22×D4—791no—
1011C22×D4—791no—
1012C22×D4C22×D7911yescharacteristic
1013C22×D4C22×D7911yescharacteristic
1014C22×D4C22×D7911yescharacteristic
1015C22×D4C22×D7911yescharacteristic
1016C23×C4—791no—
1017C23×C4—791no—
1018C23×C4—791no—
1019C23×C4—791no—
1020C23×C4—791no—
1021C23×C4—791no—
1022C23×C4—791no—
1023C23×C4C22×D7911yescharacteristic
1024C23×C4C22×D7911yescharacteristic
1025C23×C4C22×D7911yescharacteristic
1026#126—3162no—
1027#126—3162no—
1028#125—3162no—
1029#125—3162no—
1030#123—42no—
1031#123—42no—
1032#123—3162no—
1033#123—3162no—
1034C22⋊Q8—3162no—
1035C22⋊Q8—3162no—
1036C22⋊Q8—3162no—
1037#121—3162no—
1038#121—3162no—
1039#120—3162no—
1040#120—1584no—
1041C4×D4—3162no—
1042C2×C4⋊C4—3162no—
1043C2×C4⋊C4—791no—
1044C2×C4⋊C4—791no—
1045C2×C4⋊C4—791no—
1046C2×C4⋊C4—791no—
1047C2×C4⋊C4—791no—
1048C2×C4⋊C4—791no—
1049C2×C4⋊C4—791no—
1050C2×C4⋊C4—791no—
1051C2×C4⋊C4—791no—
1052C2×C4⋊C4—791no—
1053C2×C4⋊C4—791no—
1054C2×C4⋊C4—791no—
1055C2×C4⋊C4—791no—
1056C2×C4⋊C4—791no—
1057C2×C4⋊C4—791no—
1058C2×C4⋊C4—791no—
1059C2×C4⋊C4—791no—
1060C2×C4⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4—791no—
1073C2×C4⋊C4C22×D7911yescharacteristic
1074C2×C4⋊C4C22×D7911yescharacteristic
1075C2×C4⋊C4C22×D7911yescharacteristic
1076C2×C4⋊C4C22×D7911yescharacteristic
1077C2×C22⋊C4—24no—
1078C2×C22⋊C4—3162no—
1079C2×C22⋊C4—3162no—
1080C2×C22⋊C4—3162no—
1081C2×C22⋊C4—3162no—
1082C2×C22⋊C4—3162no—
1083C2×C22⋊C4—791no—
1084C2×C22⋊C4—791no—
1085C2×C22⋊C4—791no—
1086C2×C22⋊C4—791no—
1087C2×C22⋊C4—791no—
1088C2×C22⋊C4—791no—
1089C2×C22⋊C4—791no—
1090C2×C22⋊C4—791no—
1091C2×C22⋊C4—791no—
1092C2×C22⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—791no—
1112C2×C22⋊C4—791no—
1113C2×C22⋊C4—791no—
1114C2×C22⋊C4—791no—
1115C2×C22⋊C4—791no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊C4—791no—
1118C2×C22⋊C4—791no—
1119C2×C22⋊C4—791no—
1120C2×C22⋊C4—791no—
1121C2×C22⋊C4C22×D7911yescharacteristic
1122C2×C22⋊C4C22×D7911yescharacteristic
1123C2×C22⋊C4C22×D7911yescharacteristic
1124C2×C22⋊C4C22×D7911yescharacteristic
1125C2×C22⋊C4C22×D7911yescharacteristic
1126C2×C22⋊C4C22×D7911yescharacteristic
1127C2×C22⋊C4C22×D7911yescharacteristic
1128C2×C22⋊C4C22×D7911yescharacteristic
1129C2×C22⋊C4C22×D7911yescharacteristic
1130C2×C22⋊C4C22×D7911yescharacteristic
1131C2×C22⋊C4C22×D7911yescharacteristic
1132C2×C22⋊C4C22×D7911yescharacteristic
1133C2×C22⋊C4C22×D7911yescharacteristic
1134C2×C22⋊C4C22×D7911yescharacteristic
1135C2×C22⋊C4C22×D7911yescharacteristic
1136C2×C22⋊C4C22×D7911yescharacteristic
1137C2×C22⋊C4C22×D7911yescharacteristic
1138C2×C22⋊C4C22×D7911yescharacteristic
1139C2×C42—3162no—
1140C2×C42—791no—
1141C2×C42—791no—
1142C2×C42—791no—
1143C2×C42—791no—
1144C2×C42—791no—
1145C2×C42—791no—
1146C2×C42—791no—
1147#95—791no—
1148#95—791no—
1149#95—791no—
1150#95—791no—
1151#95—791no—
1152#95—791no—
1153#95—791no—
1154#95—791no—
1155#95—791no—
1156#95—791no—
1157#95—791no—
1158#95—791no—
1159#95—791no—
1160#95—791no—
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
1167#95—791no—
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95—791no—
1173#95—791no—
1174#95—791no—
1175#95—791no—
1176#95—791no—
1177#95—791no—
1178#95—791no—
1179#95C22×D7911yescharacteristic
1180#95C22×D7911yescharacteristic
1181#95C22×D7911yescharacteristic
1182#95C22×D7911yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—41no—
1195C24—41no—
1196C24—791no—
1197C24#1192962314yes—
1198C24C23×D7911yescharacteristic
1199C24C23×D7911yescharacteristic
1200C24C23×D7911yescharacteristic
1201C24C23×D7911yescharacteristic
1202C24C23×D7911yescharacteristic
1203C2×Q8—3161no—
1204C2×Q8—3161no—
1205C2×Q8—3161no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—416no—
1219C2×D4—3161no—
1220C2×D4—3161no—
1221C2×D4—3161no—
1222C2×D4—3161no—
1223C2×D4—3161no—
1224C2×D4—3161no—
1225C2×D4—3161no—
1226C2×D4—3161no—
1227C2×D4—3161no—
1228C2×D4—3161no—
1229C2×D4—1582no—
1230C2×D4—1582no—
1231C2×D4—1582no—
1232C2×D4—1582no—
1233C2×D4—1582no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—3161no—
1244C22×C4—3161no—
1245C22×C4—3161no—
1246C22×C4—3161no—
1247C22×C4—3161no—
1248C22×C4—3161no—
1249C22×C4—3161no—
1250C22×C4—3161no—
1251C22×C4—3161no—
1252C22×C4—3161no—
1253C22×C4—3161no—
1254C22×C4—3161no—
1255C22×C4—3161no—
1256C22×C4—3161no—
1257C22×C4—3161no—
1258C22×C4—3161no—
1259C22×C4—791no—
1260C22×C4—791no—
1261C22×C4—791no—
1262C22×C4—791no—
1263C22×C4—791no—
1264C22×C4—791no—
1265C22×C4—791no—
1266C22×C4—791no—
1267C22×C4—791no—
1268C22×C4—791no—
1269C22×C4—791no—
1270C22×C4—791no—
1271C22×C4—791no—
1272C22×C4—791no—
1273C22×C4—791no—
1274C22×C4—1582no—
1275C22×C4—1582no—
1276C22×C4—1582no—
1277C22×C4—1582no—
1278C22×C4—1582no—
1279C22×C4C23×D7911yescharacteristic
1280C22×C4C23×D7911yescharacteristic
1281C22×C4C23×D7911yescharacteristic
1282C22×C4C23×D7911yescharacteristic
1283C22×C4C23×D7911yescharacteristic
1284C22×C4C23×D7911yescharacteristic
1285C22×C4C23×D7911yescharacteristic
1286C22×C4C23×D7911yescharacteristic
1287C22×C4C23×D7911yescharacteristic
1288C22×C4C23×D7911yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—3161no—
1294C4⋊C4—3161no—
1295C4⋊C4—3161no—
1296C4⋊C4—3161no—
1297C4⋊C4—3161no—
1298C4⋊C4—3161no—
1299C4⋊C4—3161no—
1300C4⋊C4—3161no—
1301C4⋊C4—3161no—
1302C4⋊C4—3161no—
1303C4⋊C4—3161no—
1304C4⋊C4—3161no—
1305C4⋊C4—3161no—
1306C4⋊C4—3161no—
1307C4⋊C4—3161no—
1308C4⋊C4—3161no—
1309C4⋊C4—3161no—
1310C4⋊C4—3161no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—3161no—
1314C4⋊C4—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—1582no—
1317C4⋊C4—1582no—
1318C4⋊C4—1582no—
1319C4⋊C4—1582no—
1320C4⋊C4—1582no—
1321C4⋊C4—1582no—
1322C4⋊C4—1582no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—3161no—
1342C22⋊C4—3161no—
1343C22⋊C4—3161no—
1344C22⋊C4—3161no—
1345C22⋊C4—3161no—
1346C22⋊C4—3161no—
1347C22⋊C4—3161no—
1348C22⋊C4—3161no—
1349C22⋊C4—3161no—
1350C22⋊C4—3161no—
1351C22⋊C4—3161no—
1352C22⋊C4—3161no—
1353C22⋊C4—3161no—
1354C22⋊C4—3161no—
1355C22⋊C4—3161no—
1356C22⋊C4—3161no—
1357C22⋊C4—3161no—
1358C22⋊C4—3161no—
1359C22⋊C4—3161no—
1360C22⋊C4—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—1582no—
1368C22⋊C4—1582no—
1369C22⋊C4—1582no—
1370C22⋊C4—1582no—
1371C22⋊C4—1582no—
1372C22⋊C4—1582no—
1373C22⋊C4—1582no—
1374C22⋊C4—1582no—
1375C22⋊C4—1582no—
1376C22⋊C4—1582no—
1377C22⋊C4—1582no—
1378C22⋊C4—1582no—
1379C42—3161no—
1380C42—3161no—
1381C42—3161no—
1382C42—3161no—
1383C42—3161no—
1384C42—1582no—
1385C42—1582no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—28no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—82no—
1423C23—82no—
1424C23—82no—
1425C23—82no—
1426C23—82no—
1427C23—82no—
1428C23—82no—
1429C23—82no—
1430C23—1581no—
1431C23—1581no—
1432C23—1581no—
1433C23—1581no—
1434C23—1581no—
1435C23—1581no—
1436C23—1581no—
1437C23C2×#1192962312yes—
1438C23C2×#1192962312yes—
1439C23C2×#1192962312yes—
1440C23#1457920712yes—
1441C23#1457920812yes—
1442C23C24×D7911yescharacteristic
1443Q8—6322no—
1444D4—44no—
1445D4—44no—
1446D4—44no—
1447D4—44no—
1448D4—3164no—
1449D4—6322no—
1450D4—6322no—
1451D4—6322no—
1452D4—6322no—
1453C2×C4—28no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—82no—
1483C2×C4—82no—
1484C2×C4—3164no—
1485C2×C4—3164no—
1486C2×C4—792no—
1487C2×C4—6322no—
1488C2×C4—6322no—
1489C2×C4—6322no—
1490C2×C4—6322no—
1491C2×C4—6322no—
1492C2×C4—1581no—
1493C2×C4—1581no—
1494C2×C4—1581no—
1495C2×C4—1581no—
1496C2×C4—1581no—
1497C2×C4—1581no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4—1581no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4—1581no—
1504C2×C4—1581no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4#1457920612yes—
1537C2×C4#1457920612yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—88no—
1573C22—88no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22—3161no—
1578C22—3161no—
1579C22—3161no—
1580C22—3161no—
1581C22#1909915714yes—
1582C22C22×#1192962311yescharacteristic
1583C22H(5,𝔽2)×D7911yescharacteristic
1584C22C2×#1457920611yescharacteristic
1585C22C2×#1457920611yescharacteristic
1586C22C2×#1457920711yescharacteristic
1587C22C2×#1457920811yescharacteristic
1588C22#1909939811yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—3161no—
1600C4—3161no—
1601C4—3161no—
1602C4—3161no—
1603C4—3161no—
1604C4—3161no—
1605C4—3161no—
1606C4—3161no—
1607C4—3161no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—1582no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—6321no—
1620C2C2×#1909915711yescharacteristic
1621C2#2377708711yescharacteristic
1622C2#2377723711yescharacteristic
1623C2#2377762011yescharacteristic
1624C2#2377770211yescharacteristic
1625C2#2377773211yescharacteristic
1626C2#2377795911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2405C2
prime radical#23766774C2
hypercenter#2405D79
hypocenterC79#36807
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
1. #23771717C2semidirect
2. #23771706C2semidirect
3. #23771244C2semidirect
4. #23771121C2semidirect
5. #23770739C2semidirect
6. #23770504C2semidirect
7. #23770459C2semidirect
8. #23770325C2semidirect
9. #23770159C2semidirect
10. #23770150C2semidirect
11. #23770099C2semidirect
12. #23770092C2semidirect
13. #23770077C2semidirect
14. #23770069C2semidirect
15. #23769946C2semidirect
16. #23769916C2semidirect
17. #23769886C2semidirect
18. #23769751C2semidirect
19. #23769209C2semidirect
20. #23769176C2semidirect
21. #23767645C2semidirect
22. #23767540C2semidirect
23. #23767207C2semidirect
24. #23767066C2semidirect
25. #23766866C2semidirect
26. #23766796C2semidirect
28. #23766055C2semidirect
29. #23766014C2semidirect
30. C2×#19098466C2semidirect
31. C79×#2405C2semidirect
32. C2×#14579156C22semidirect
33. C2×#14579154C22semidirect
34. C2×#14579152C22semidirect
35. C2×#14579151C22semidirect
36. C2×#14579144C22semidirect
37. C2×#14579143C22semidirect
38. C2×#14579141C22semidirect
40. C2×#14579138C22semidirect
53. #19098502C22semidirect
54. #19098500C22semidirect
55. #19098499C22semidirect
56. #19098499C22semidirect
57. #19098499C22semidirect
58. #19098499C22semidirect
59. #19098496C22semidirect
60. #19098495C22semidirect
61. #19098495C22semidirect
62. #19098493C22semidirect
63. #19098491C22semidirect
64. #19098491C22semidirect
65. #19098491C22semidirect
66. #19098491C22semidirect
67. #19098491C22semidirect
68. #19098488C22semidirect
69. #19098488C22semidirect
70. #19098488C22semidirect
71. #19098488C22semidirect
72. #19098488C22semidirect
73. #19098486C22semidirect
74. #19098486C22semidirect
75. #19098486C22semidirect
76. #19098486C22semidirect
77. #19098486C22semidirect
78. #19098486C22semidirect
79. #19098486C22semidirect
80. #19098485C22semidirect
81. #19098484C22semidirect
82. #19098479C22semidirect
83. #19098479C22semidirect
84. #19098479C22semidirect
85. #19098479C22semidirect
86. #19098479C22semidirect
87. #19098478C22semidirect
88. #19098478C22semidirect
89. #19098478C22semidirect
92. #19098475C22semidirect
93. #19098475C22semidirect
94. #19098475C22semidirect
105. #19098463C22semidirect
106. #19098463C22semidirect
107. #19098462C22semidirect
108. #19098462C22semidirect
109. #19098460C22semidirect
110. #19098458C22semidirect
111. #19098457C22semidirect
112. #19098457C22semidirect
113. #19098457C22semidirect
114. #19098457C22semidirect
115. #19098456C22semidirect
116. #19098456C22semidirect
117. #19098455C22semidirect
118. #19098453C22semidirect
119. #19098452C22semidirect
120. #19098451C22semidirect
121. #19098451C22semidirect
122. #19098451C22semidirect
123. #19098450C22semidirect
124. #19098449C22semidirect
125. #19098449C22semidirect
126. #19098448C22semidirect
127. #19098448C22semidirect
128. #19098446C22semidirect
129. #19098446C22semidirect
130. #19098445C22semidirect
131. #19098444C22semidirect
132. #19098444C22semidirect
136. #19098442C22semidirect
140. #19098439C22semidirect
141. #19098439C22semidirect
142. #19098439C22semidirect
148. #19098438C22semidirect
149. #19098438C22semidirect
150. #19098438C22semidirect
151. #19098438C22semidirect
152. #19098438C22semidirect
153. #19098437C22semidirect
155. #19098436C22semidirect
158. #19098435C22semidirect
159. #19098430C22semidirect
160. #19098427C22semidirect
161. #19098426C22semidirect
162. #19098423C22semidirect
163. #19098423C22semidirect
164. #19098423C22semidirect
165. #19098423C22semidirect
169. #19098421C22semidirect
841. #2405D79semidirect
845. C79#36807semidirect

Maximal subgroups

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

subgroupindex
#237717172
#237717062
#237712442
#237711212
#237707392
#237705042
#237704592
#237703252
#237701592
#237701502
#237700992
#237700922
#237700772
#237700692
#237699462
#237699162
#237698862
#237697512
#237692092
#237691762
#237676452
#237675402
#237672072
#237670662
#237668662
#237667962
#237667742
#237660552
#237660142
C2×#190984662
C79×#24052
#3680779