Finite Group Databasebeta

← #34497189

Subgroups — #34497189

Order 20224.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771717C211yesmaximal, characteristic, complemented
2#23771697C211yesmaximal, characteristic, complemented
3#23771381C211yesmaximal, characteristic, complemented
4#23771335C211yesmaximal, characteristic, complemented
5#23771326C211yesmaximal, characteristic, complemented
6#23771121C211yesmaximal, characteristic, complemented
7#23771068C211yesmaximal, characteristic, complemented
8#23771026C211yesmaximal, characteristic, complemented
9#23771017C211yesmaximal, characteristic, complemented
10#23770975C211yesmaximal, characteristic, complemented
11#23770760C211yesmaximal, characteristic, complemented
12#23770729C211yesmaximal, characteristic, complemented
13#23770715C211yesmaximal, characteristic, complemented
14#23770660C211yesmaximal, characteristic, complemented
15#23770423C211yesmaximal, characteristic, complemented
16#23770216C211yesmaximal, characteristic, complemented
17#23770201C211yesmaximal, characteristic, complemented
18#23769805C211yesmaximal, characteristic, complemented
19#23769134C211yesmaximal, characteristic, complemented
20#23767964C211yesmaximal, characteristic, complemented
21#23767523C211yesmaximal, characteristic, complemented
22#23767154C211yesmaximal, characteristic, complemented
23#23767074C211yesmaximal, characteristic, complemented
24#23767008C211yesmaximal, characteristic, complemented
25#23766932C211yesmaximal, characteristic, complemented
26#23766787C211yesmaximal, characteristic, complemented
27#23766716C211yesmaximal, characteristic, complemented
28#23766068C211yesmaximal, characteristic, complemented
29#23765987C211yesmaximal, characteristic, complemented
30C2×#19098457C211yesmaximal, characteristic, complemented
31C79×#2622C211yesmaximal, characteristic, complemented
32C22×#11929623C2211yescharacteristic
33C2×#14579156C2211yescharacteristic, complemented
34C2×#14579147C2211yescharacteristic
35C2×#14579147C2211yescharacteristic, complemented
36C2×#14579145C2211yescharacteristic
37C2×#14579138C2211yescharacteristic
38C2×#14579135C2211yescharacteristic
39C2×#14579133C2211yescharacteristic
40C2×#14579132C2211yescharacteristic
41C2×#14579130C2211yescharacteristic
42C2×#14579130C2211yescharacteristic
43C2×(C22⋊D79)⋊C4C2211yescharacteristic
44C2×#14579117C2211yescharacteristic
45C22×Dic79⋊C4C2211yescharacteristic
46C22×C22⋊Dic79C2211yescharacteristic
47C22×C22⋊Dic79C2211yescharacteristic
48C22×C4×Dic79C2211yescharacteristic
49C79⋊#401C2211yescharacteristic, complemented
50#19098505C2211yescharacteristic, complemented
51#19098505C2211yescharacteristic, complemented
52#19098503C2211yescharacteristic, complemented
53#19098493C2211yescharacteristic, complemented
54#19098493C2211yescharacteristic, complemented
55#19098492C2211yescharacteristic, complemented
56#19098491C2211yescharacteristic
57#19098491C2211yescharacteristic, complemented
58#19098489C2211yescharacteristic, complemented
59#19098488C2211yescharacteristic
60#19098488C2211yescharacteristic
61#19098488C2211yescharacteristic, complemented
62#19098486C2211yescharacteristic
63#19098486C2211yescharacteristic
64#19098486C2211yescharacteristic
65#19098484C2211yescharacteristic, complemented
66#19098484C2211yescharacteristic, complemented
67#19098480C2211yescharacteristic, complemented
68#19098479C2211yescharacteristic
69#19098479C2211yescharacteristic
70#19098479C2211yescharacteristic
71#19098479C2211yescharacteristic
72#19098479C2211yescharacteristic
73#19098479C2211yescharacteristic
74#19098479C2211yescharacteristic, complemented
75#19098478C2211yescharacteristic
76#19098478C2211yescharacteristic
77#19098478C2211yescharacteristic
78#19098477C2211yescharacteristic
79#19098476C2211yescharacteristic, complemented
80#19098475C2211yescharacteristic
81#19098475C2211yescharacteristic
82#19098475C2211yescharacteristic
83#19098472C2211yescharacteristic
84#19098472C2211yescharacteristic
85#19098472C2211yescharacteristic, complemented
86#19098471C2211yescharacteristic
87#19098471C2211yescharacteristic
88#19098471C2211yescharacteristic
89#19098468C2211yescharacteristic, complemented
90#19098467C2211yescharacteristic, complemented
91#19098467C2211yescharacteristic, complemented
92#19098467C2211yescharacteristic, complemented
93#19098466C2211yescharacteristic
94#19098463C2211yescharacteristic
95#19098463C2211yescharacteristic
96#19098463C2211yescharacteristic
97#19098463C2211yescharacteristic, complemented
98#19098463C2211yescharacteristic, complemented
99#19098463C2211yescharacteristic, complemented
100#19098462C2211yescharacteristic, complemented
101#19098459C2211yescharacteristic, complemented
102#19098459C2211yescharacteristic, complemented
103#19098457C2211yescharacteristic
104#19098457C2211yescharacteristic
105#19098457C2211yescharacteristic
106#19098457C2211yescharacteristic
107#19098457C2211yescharacteristic
108#19098457C2211yescharacteristic
109#19098457C2211yescharacteristic
110#19098457C2211yescharacteristic
111#19098457C2211yescharacteristic, complemented
112#19098456C2211yescharacteristic
113#19098456C2211yescharacteristic
114#19098456C2211yescharacteristic
115#19098456C2211yescharacteristic, complemented
116#19098456C2211yescharacteristic, complemented
117#19098455C2211yescharacteristic, complemented
118#19098455C2211yescharacteristic, complemented
119#19098453C2211yescharacteristic, complemented
120#19098453C2211yescharacteristic, complemented
121#19098452C2211yescharacteristic, complemented
122#19098452C2211yescharacteristic, complemented
123#19098452C2211yescharacteristic, complemented
124#19098452C2211yescharacteristic, complemented
125#19098451C2211yescharacteristic
126#19098451C2211yescharacteristic
127#19098451C2211yescharacteristic, complemented
128#19098449C2211yescharacteristic, complemented
129#19098449C2211yescharacteristic, complemented
130#19098448C2211yescharacteristic, complemented
131#19098448C2211yescharacteristic, complemented
132#19098448C2211yescharacteristic, complemented
133#19098446C2211yescharacteristic, complemented
134#19098446C2211yescharacteristic, complemented
135#19098446C2211yescharacteristic, complemented
136#19098444C2211yescharacteristic, complemented
137#19098443C2211yescharacteristic
138#19098443C2211yescharacteristic
139#19098443C2211yescharacteristic
140#19098443C2211yescharacteristic
141#19098442C2211yescharacteristic
142#19098442C2211yescharacteristic
143#19098441C2211yescharacteristic, complemented
144#19098441C2211yescharacteristic, complemented
145#19098440C2211yescharacteristic
146#19098440C2211yescharacteristic
147#19098440C2211yescharacteristic
148#19098440C2211yescharacteristic
149#19098440C2211yescharacteristic, complemented
150#19098439C2211yescharacteristic
151#19098439C2211yescharacteristic
152#19098439C2211yescharacteristic
153#19098438C2211yescharacteristic
154#19098438C2211yescharacteristic, complemented
155#19098437C2211yescharacteristic, complemented
156#19098435C2211yescharacteristic
157#19098434C2211yescharacteristic, complemented
158#19098434C2211yescharacteristic, complemented
159#19098430C2211yescharacteristic, complemented
160#19098430C2211yescharacteristic, complemented
161#19098427C2211yescharacteristic, complemented
162#19098425C2211yescharacteristic, complemented
163#19098424C2211yescharacteristic
164#19098423C2211yescharacteristic
165#19098422C2211yescharacteristic, complemented
166#19098422C2211yescharacteristic, complemented
167#19098421C2211yescharacteristic, complemented
168#19098421C2211yescharacteristic, complemented
169C22⋊C4×Dic79C2211yescharacteristic
170C2×C79⋊#95C2211yescharacteristic
171C2×C79⋊#95C2211yescharacteristic
172C2×#120×C79C2211yescharacteristic
173C22×C22⋊C4×C79C2211yescharacteristic
174#397×C79C2211yescharacteristic
175#397×C79C2211yescharacteristic
176#397×C79C2211yescharacteristic
177#397×C79C2211yescharacteristic
178#394×C79C2211yescharacteristic
179#394×C79C2211yescharacteristic
180#394×C79C2211yescharacteristic
181#394×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic
184#385×C79C2211yescharacteristic
185#385×C79C2211yescharacteristic
186#379×C79C2211yescharacteristic
187C2×#11929623—24no—
188C2×#11929623—42no—
189C2×#11929623—42no—
190C22×Dic158C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208#14579156—42no—
209#14579147—42no—
210#14579147—42no—
211#14579145—24no—
212#14579138—42no—
213#14579135—42no—
214#14579133—42no—
215#14579132—42no—
216#14579130—42no—
217#14579130—42no—
218(C22⋊D79)⋊C4—42no—
219#14579117—42no—
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×Dic79⋊C4—42no—
229C2×Dic79⋊C4C2311yescharacteristic
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×C22⋊Dic79—24no—
242C2×C22⋊Dic79—42no—
243C2×C22⋊Dic79C2311yescharacteristic
244C2×C22⋊Dic79C2311yescharacteristic
245C2×C22⋊Dic79C2311yescharacteristic
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2311yescharacteristic
249C2×C22⋊Dic79C2311yescharacteristic
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×(C2×D79)⋊C4C2311yescharacteristic
263C2×(C2×D79)⋊C4C2311yescharacteristic
264C2×(C2×D79)⋊C4C2311yescharacteristic
265C2×(C2×D79)⋊C4C2311yescharacteristic
266C2×(C2×D79)⋊C4C2311yescharacteristic
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
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×C4×Dic79—42no—
281C2×C4×Dic79C2311yescharacteristic
282C2×C4×Dic79C2311yescharacteristic
283C2×C4×Dic79C2311yescharacteristic
284C2×C4×Dic79C2311yescharacteristic
285C2×C4×Dic79C2311yescharacteristic
286C2×C4×Dic79C2311yescharacteristic
287C2×C4×Dic79C2311yescharacteristic
288C2×C4×Dic79C2311yescharacteristic
289C2×C4×Dic79C2311yescharacteristic
290C79⋊#95C2311yescharacteristic
291C79⋊#95C2311yescharacteristic
292C79⋊#95C2311yescharacteristic
293C79⋊#95C2311yescharacteristic
294C79⋊#95C2311yescharacteristic
295C79⋊#95C2311yescharacteristic
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
326C25×C79C2311yescharacteristic
327C22×D4×C79C2311yescharacteristic
328C22×D4×C79C2311yescharacteristic
329C22×D4×C79C2311yescharacteristic
330C23×C4×C79C2311yescharacteristic
331C23×C4×C79C2311yescharacteristic
332#120×C79—42no—
333C2×C4⋊C4×C79C2311yescharacteristic
334C2×C4⋊C4×C79C2311yescharacteristic
335C2×C4⋊C4×C79C2311yescharacteristic
336C2×C4⋊C4×C79C2311yescharacteristic
337C2×C22⋊C4×C79—42no—
338C2×C22⋊C4×C79C2311yescharacteristic
339C2×C22⋊C4×C79C2311yescharacteristic
340C2×C22⋊C4×C79C2311yescharacteristic
341C2×C22⋊C4×C79C2311yescharacteristic
342C2×C22⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
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
355#95×C79C2311yescharacteristic
356#95×C79C2311yescharacteristic
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363C23×D79C2411yescharacteristic
364C23×D79C2411yescharacteristic
365#11929623—416no—
366C2×Dic158—22no—
367C2×Dic158—22no—
368C2×Dic158—41no—
369C2×Dic158—41no—
370C2×Dic158—41no—
371C2×Dic158—41no—
372C2×D316—41no—
373C2×D316—41no—
374C2×D316—41no—
375C2×C22⋊D79—22no—
376C2×C22⋊D79—22no—
377C2×C22⋊D79—22no—
378C2×C22⋊D79—22no—
379C2×C22⋊D79—22no—
380C2×C22⋊D79—22no—
381C2×C22⋊D79—22no—
382C2×C22⋊D79—22no—
383C2×C22⋊D79—41no—
384C2×C22⋊D79—41no—
385C2×C22⋊D79—41no—
386C2×C22⋊D79—41no—
387C2×C22⋊D79—41no—
388C2×C22⋊D79—41no—
389C2×C22⋊D79—41no—
390C2×C22⋊D79—41no—
391C2×C22⋊D79—41no—
392C2×C22⋊D79—41no—
393C2×C22⋊D79—41no—
394C2×C22⋊D79—41no—
395C2×C22⋊D79—41no—
396C2×C22⋊D79—41no—
397C2×C22⋊D79—41no—
398C2×C22⋊D79—41no—
399C22×Dic79—22no—
400C22×Dic79—22no—
401C22×Dic79—22no—
402C22×Dic79—22no—
403C22×Dic79—22no—
404C22×Dic79—22no—
405C22×Dic79—22no—
406C22×Dic79—41no—
407C22×Dic79—41no—
408C22×Dic79—41no—
409C22×Dic79—41no—
410C22×Dic79—41no—
411C22×Dic79—41no—
412C22×Dic79—41no—
413C22×Dic79#4114yes—
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C2×C4×D79—22no—
429C2×C4×D79—41no—
430C2×C4×D79—41no—
431C2×C4×D79—41no—
432C2×C4×D79—41no—
433C2×C4×D79—41no—
434C4⋊Dic79—22no—
435C4⋊Dic79—22no—
436C4⋊Dic79—22no—
437C4⋊Dic79—41no—
438C4⋊Dic79—41no—
439C4⋊Dic79—41no—
440C4⋊Dic79—41no—
441C4⋊Dic79—41no—
442Dic79⋊C4—41no—
443Dic79⋊C4—41no—
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—41no—
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—
473(C2×D79)⋊C4—22no—
474(C2×D79)⋊C4—22no—
475(C2×D79)⋊C4—22no—
476(C2×D79)⋊C4—41no—
477(C2×D79)⋊C4—41no—
478(C2×D79)⋊C4—41no—
479(C2×D79)⋊C4—41no—
480(C2×D79)⋊C4—41no—
481(C2×D79)⋊C4—41no—
482(C2×D79)⋊C4—41no—
483(C2×D79)⋊C4—41no—
484(C2×D79)⋊C4—41no—
485(C2×D79)⋊C4—41no—
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—
491C4×Dic79—22no—
492C4×Dic79—22no—
493C4×Dic79—41no—
494C4×Dic79—41no—
495C4×Dic79—41no—
496C4×Dic79—41no—
497C4×Dic79—41no—
498C4×Dic79—41no—
499C4×Dic79—41no—
500C24×C79—22no—
501C24×C79—22no—
502C24×C79—22no—
503C24×C79—41no—
504C24×C79—41no—
505C24×C79—41no—
506C24×C79—41no—
507C24×C79C2411yescharacteristic
508C24×C79C2411yescharacteristic
509C24×C79C2411yescharacteristic
510C24×C79C2411yescharacteristic
511C2×D4×C79—22no—
512C2×D4×C79—22no—
513C2×D4×C79—22no—
514C2×D4×C79—41no—
515C2×D4×C79—41no—
516C2×D4×C79—41no—
517C2×D4×C79—41no—
518C2×D4×C79—41no—
519C2×D4×C79—41no—
520C22×C4×C79—22no—
521C22×C4×C79—22no—
522C22×C4×C79—41no—
523C22×C4×C79—41no—
524C22×C4×C79—41no—
525C22×C4×C79—41no—
526C22×C4×C79C2411yescharacteristic
527C22×C4×C79C2411yescharacteristic
528C22×C4×C79C2411yescharacteristic
529C22×C4×C79C2411yescharacteristic
530C22×C4×C79C2411yescharacteristic
531C22×C4×C79C2411yescharacteristic
532C22×C4×C79C2411yescharacteristic
533C22×C4×C79C2411yescharacteristic
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2411yescharacteristic
536C22×C4×C79C2411yescharacteristic
537C4⋊C4×C79—41no—
538C4⋊C4×C79—41no—
539C4⋊C4×C79—41no—
540C4⋊C4×C79—41no—
541C22⋊C4×C79—22no—
542C22⋊C4×C79—22no—
543C22⋊C4×C79—22no—
544C22⋊C4×C79—41no—
545C22⋊C4×C79—41no—
546C22⋊C4×C79—41no—
547C22⋊C4×C79—41no—
548C22⋊C4×C79—41no—
549C22⋊C4×C79—41no—
550C22⋊C4×C79—41no—
551C22⋊C4×C79—41no—
552C22⋊C4×C79—41no—
553C22⋊C4×C79—41no—
554C22⋊C4×C79—41no—
555C22⋊C4×C79—41no—
556C22⋊C4×C79—41no—
557C22⋊C4×C79—41no—
558C23×C79—21no—
559C23×C79—21no—
560C23×C79—21no—
561C23×C79—21no—
562C23×C79—21no—
563C23×C79—21no—
564C23×C79—21no—
565C23×C79—21no—
566C23×C79—21no—
567C23×C79—21no—
568C23×C79—21no—
569C23×C79—21no—
570C23×C79—21no—
571C23×C79—21no—
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—44no—
584C23×C79—44no—
585C23×C79—44no—
586C23×C79—82no—
587C23×C79—82no—
588C23×C79—82no—
589C23×C79—82no—
590C23×C79C2×#4112yes—
591C23×C79H(5,𝔽2)12yes—
592C23×C79H(5,𝔽2)12yes—
593C23×C79C2511yescharacteristic
594C22×D79—21no—
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608D4×C79—44no—
609D4×C79—82no—
610D4×C79—82no—
611C2×C4×C79—21no—
612C2×C4×C79—21no—
613C2×C4×C79—21no—
614C2×C4×C79—21no—
615C2×C4×C79—21no—
616C2×C4×C79—21no—
617C2×C4×C79—21no—
618C2×C4×C79—21no—
619C2×C4×C79—21no—
620C2×C4×C79—21no—
621C2×C4×C79—21no—
622C2×C4×C79—21no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
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—44no—
645C2×C4×C79—82no—
646C22⋊D79—44no—
647C22⋊D79—44no—
648C22⋊D79—44no—
649C22⋊D79—82no—
650C22⋊D79—82no—
651C22⋊D79—82no—
652C22⋊D79—82no—
653C22⋊D79—82no—
654C2×Dic79—28no—
655C2×Dic79—21no—
656C2×Dic79—21no—
657C2×Dic79—21no—
658C2×Dic79—21no—
659C2×Dic79—21no—
660C2×Dic79—21no—
661C2×Dic79—21no—
662C2×Dic79—21no—
663C2×Dic79—21no—
664C2×Dic79—21no—
665C2×Dic79—21no—
666C2×Dic79—21no—
667C2×Dic79—21no—
668C2×Dic79—21no—
669C2×Dic79—21no—
670C2×Dic79—21no—
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—44no—
695C2×Dic79—44no—
696C2×Dic79—44no—
697C2×Dic79—82no—
698C2×Dic79C2×#4112yes—
699C2×Dic79C2×#4112yes—
700C2×Dic79H(5,𝔽2)12yes—
701D316—82no—
702C4×D79—44no—
703C4×D79—82no—
704Dic158—44no—
705Dic158—82no—
706C22×C79—22no—
707C22×C79—22no—
708C22×C79—22no—
709C22×C79—22no—
710C22×C79—22no—
711C22×C79—22no—
712C22×C79—41no—
713C22×C79—41no—
714C22×C79—41no—
715C22×C79—41no—
716C22×C79—41no—
717C22×C79—41no—
718C22×C79—41no—
719C22×C79—41no—
720C22×C79—41no—
721C22×C79—41no—
722C22×C79—41no—
723C22×C79—41no—
724C22×C79—41no—
725C22×C79—41no—
726C22×C79—41no—
727C22×C79—41no—
728C22×C79—41no—
729C22×C79—41no—
730C22×C79—41no—
731C22×C79—41no—
732C22×C79—41no—
733C22×C79—88no—
734C22×C79#53814yes—
735C22×C79C22×#4111yescharacteristic
736C22×C79C2×H(5,𝔽2)11yescharacteristic
737C22×C79C2×H(5,𝔽2)11yescharacteristic
738C22×C79C2×H(5,𝔽2)11yescharacteristic
739C22×C79#58511yescharacteristic
740C22×C79#58511yescharacteristic
741C22×C79#58511yescharacteristic
742C2×D79—41no—
743C2×D79—41no—
744C2×D79—41no—
745C2×D79—41no—
746C2×D79—41no—
747C2×D79—41no—
748C2×D79—41no—
749C2×D79—41no—
750C2×D79—41no—
751C2×D79—41no—
752C2×D79—41no—
753C2×D79—41no—
754C2×D79—41no—
755C2×D79—41no—
756C4×C79—41no—
757C4×C79—41no—
758C4×C79—41no—
759C4×C79—41no—
760C4×C79—41no—
761C4×C79—41no—
762C4×C79—41no—
763C4×C79—41no—
764C4×C79—41no—
765C4×C79—41no—
766C4×C79—41no—
767Dic79—22no—
768Dic79—22no—
769Dic79—22no—
770Dic79—41no—
771Dic79—41no—
772Dic79—41no—
773Dic79—41no—
774Dic79—41no—
775Dic79—41no—
776Dic79—41no—
777Dic79—41no—
778Dic79—41no—
779Dic79—41no—
780Dic79—41no—
781#36795—791nomaximal, Sylow
782C2×C79—24no—
783C2×C79—81no—
784C2×C79—81no—
785C2×C79—81no—
786C2×C79C2×#53811yescharacteristic
787C2×C79#349311yescharacteristic
788C2×C79#350611yescharacteristic
789C2×C79#353411yescharacteristic
790C2×C79#354211yescharacteristic
791C2×C79#354511yescharacteristic
792C2×C79#356011yescharacteristic
793D79—81no—
794D79—81no—
795#2852—791no—
796#2850—791no—
797#2808—791no—
798#2803—791no—
799#2803—791no—
800#2786—791no—
801#2781—791no—
802#2779—791no—
803#2778—791no—
804#2775—791no—
805#2759—791no—
806#2756—791no—
807#2756—791no—
808#2751—791no—
809#2733—791no—
810#2715—791no—
811#2714—791no—
812#2686—791no—
813#2622D7911yescharacteristic, complemented
814#2617—791no—
815#2510—791no—
816#2472—791no—
817#2444—791no—
818#2438—791no—
819#2430—791no—
820#2424—791no—
821#2411—791no—
822#2404—791no—
823#2322—791no—
824#2311—791no—
825C2×#388—791no—
826C79#3679511yescharacteristic, complemented, Sylow
827C22×#41—791no—
828C2×#126—791no—
829C2×#124—791no—
830C2×#124—791no—
831C2×#123—791no—
832C2×C22⋊Q8—791no—
833C2×#121—791no—
834C2×#121—791no—
835C2×#121—791no—
836C2×#120—791no—
837C2×#120—791no—
838C2×#120C2×D7911yescharacteristic
839C2×C4×D4—791no—
840C2×#117—791no—
841C22×C4⋊C4—791no—
842C22×C22⋊C4—791no—
843C22×C22⋊C4—791no—
844C22×C22⋊C4C2×D7911yescharacteristic
845C22×C42—791no—
846#401—791no—
847#400—791no—
848#400—791no—
849#400—791no—
850#398—791no—
851#398—791no—
852#397—791no—
853#397—791no—
854#397—791no—
855#397—791no—
856#397—791no—
857#397—791no—
858#397—791no—
859#397C2×D7911yescharacteristic
860#397C2×D7911yescharacteristic
861#397C2×D7911yescharacteristic
862#397C2×D7911yescharacteristic
863#396—791no—
864#396—791no—
865#396—791no—
866#395—791no—
867#395—791no—
868#394—791no—
869#394—791no—
870#394—791no—
871#394—791no—
872#394—791no—
873#394—791no—
874#394—791no—
875#394—791no—
876#394—791no—
877#394—791no—
878#394—791no—
879#394—791no—
880#394C2×D7911yescharacteristic
881#394C2×D7911yescharacteristic
882#394C2×D7911yescharacteristic
883#394C2×D7911yescharacteristic
884#393—791no—
885#393—791no—
886#393—791no—
887#393—791no—
888#392—791no—
889#392—791no—
890#392—791no—
891#392—791no—
892#392—791no—
893#392—791no—
894#391—791no—
895#391—791no—
896#391—791no—
897#391—791no—
898#390—791no—
899#390—791no—
900#390—791no—
901#390—791no—
902#390—791no—
903#390—791no—
904#390—791no—
905#389—791no—
906#389—791no—
907#389—791no—
908#388—791no—
909#388—791no—
910#388—791no—
911#388—791no—
912#388—791no—
913#388—791no—
914#388—791no—
915#388—791no—
916#388—791no—
917#388—791no—
918#388—791no—
919#388—791no—
920#388—791no—
921#388—791no—
922#388—791no—
923#388—791no—
924#388—791no—
925#388—791no—
926#388—791no—
927#388—791no—
928#388—791no—
929#388—791no—
930#388—791no—
931#388—791no—
932#388—791no—
933#387—791no—
934#387—791no—
935#387—791no—
936#387—791no—
937#387—791no—
938#387—791no—
939#387—791no—
940#387—791no—
941#387—791no—
942#386—791no—
943#386—791no—
944#386—791no—
945#386—791no—
946#386—791no—
947#386—791no—
948#386—791no—
949#386—791no—
950#386—791no—
951#386—791no—
952#386—791no—
953#386—791no—
954#386—791no—
955#386—791no—
956#386—791no—
957#386—791no—
958#386C2×D7911yescharacteristic
959#386C2×D7911yescharacteristic
960#385—791no—
961#385—791no—
962#385—791no—
963#385—791no—
964#385—791no—
965#385—791no—
966#385C2×D7911yescharacteristic
967#385C2×D7911yescharacteristic
968#383—791no—
969#383—791no—
970#382—791no—
971#381—791no—
972#381—791no—
973#380—791no—
974#380—791no—
975#380—791no—
976#380—791no—
977#380—791no—
978#379C2×D7911yescharacteristic
979C4×C22⋊C4—791no—
980C2×#95—791no—
981C2×#95—791no—
982C25C22×D7911yescharacteristic
983C2×#41—3162no—
984C2×#41—3162no—
985C2×#41—1584no—
986C22×Q8—791no—
987C22×Q8—791no—
988C22×D4—791no—
989C22×D4—791no—
990C22×D4—791no—
991C22×D4—791no—
992C22×D4—791no—
993C22×D4—791no—
994C22×D4—791no—
995C22×D4—791no—
996C22×D4—791no—
997C22×D4C22×D7911yescharacteristic
998C22×D4C22×D7911yescharacteristic
999C22×D4C22×D7911yescharacteristic
1000C23×C4—791no—
1001C23×C4—791no—
1002C23×C4—791no—
1003C23×C4—791no—
1004C23×C4—791no—
1005C23×C4—791no—
1006C23×C4—791no—
1007C23×C4C22×D7911yescharacteristic
1008C23×C4C22×D7911yescharacteristic
1009#126—3162no—
1010#124—3162no—
1011#124—3162no—
1012#123—1584no—
1013C22⋊Q8—3162no—
1014#121—3162no—
1015#121—3162no—
1016#121—3162no—
1017#120—42no—
1018#120—3162no—
1019#120—3162no—
1020C4×D4—3162no—
1021#117—3162no—
1022C2×C4⋊C4—3162no—
1023C2×C4⋊C4—791no—
1024C2×C4⋊C4—791no—
1025C2×C4⋊C4—791no—
1026C2×C4⋊C4—791no—
1027C2×C4⋊C4—791no—
1028C2×C4⋊C4—791no—
1029C2×C4⋊C4—791no—
1030C2×C4⋊C4—791no—
1031C2×C4⋊C4—791no—
1032C2×C4⋊C4—791no—
1033C2×C4⋊C4—791no—
1034C2×C4⋊C4—791no—
1035C2×C4⋊C4—791no—
1036C2×C4⋊C4—791no—
1037C2×C4⋊C4—791no—
1038C2×C4⋊C4—791no—
1039C2×C4⋊C4—791no—
1040C2×C4⋊C4—791no—
1041C2×C4⋊C4—791no—
1042C2×C4⋊C4—791no—
1043C2×C4⋊C4C22×D7911yescharacteristic
1044C2×C4⋊C4C22×D7911yescharacteristic
1045C2×C4⋊C4C22×D7911yescharacteristic
1046C2×C4⋊C4C22×D7911yescharacteristic
1047C2×C22⋊C4—42no—
1048C2×C22⋊C4—3162no—
1049C2×C22⋊C4—791no—
1050C2×C22⋊C4—791no—
1051C2×C22⋊C4—791no—
1052C2×C22⋊C4—791no—
1053C2×C22⋊C4—791no—
1054C2×C22⋊C4—791no—
1055C2×C22⋊C4—791no—
1056C2×C22⋊C4—791no—
1057C2×C22⋊C4—791no—
1058C2×C22⋊C4—791no—
1059C2×C22⋊C4—791no—
1060C2×C22⋊C4—791no—
1061C2×C22⋊C4—791no—
1062C2×C22⋊C4—791no—
1063C2×C22⋊C4—791no—
1064C2×C22⋊C4—791no—
1065C2×C22⋊C4—791no—
1066C2×C22⋊C4—791no—
1067C2×C22⋊C4—791no—
1068C2×C22⋊C4—791no—
1069C2×C22⋊C4—791no—
1070C2×C22⋊C4—791no—
1071C2×C22⋊C4—791no—
1072C2×C22⋊C4—791no—
1073C2×C22⋊C4—791no—
1074C2×C22⋊C4—791no—
1075C2×C22⋊C4—791no—
1076C2×C22⋊C4—791no—
1077C2×C22⋊C4—791no—
1078C2×C22⋊C4—791no—
1079C2×C22⋊C4—791no—
1080C2×C22⋊C4—791no—
1081C2×C22⋊C4—791no—
1082C2×C22⋊C4—791no—
1083C2×C22⋊C4—791no—
1084C2×C22⋊C4—791no—
1085C2×C22⋊C4—791no—
1086C2×C22⋊C4—1584no—
1087C2×C22⋊C4C22×D7911yescharacteristic
1088C2×C22⋊C4C22×D7911yescharacteristic
1089C2×C22⋊C4C22×D7911yescharacteristic
1090C2×C22⋊C4C22×D7911yescharacteristic
1091C2×C22⋊C4C22×D7911yescharacteristic
1092C2×C22⋊C4C22×D7911yescharacteristic
1093C2×C22⋊C4C22×D7911yescharacteristic
1094C2×C22⋊C4C22×D7911yescharacteristic
1095C2×C22⋊C4C22×D7911yescharacteristic
1096C2×C22⋊C4C22×D7911yescharacteristic
1097C2×C22⋊C4C22×D7911yescharacteristic
1098C2×C22⋊C4C22×D7911yescharacteristic
1099C2×C22⋊C4C22×D7911yescharacteristic
1100C2×C22⋊C4C22×D7911yescharacteristic
1101C2×C22⋊C4C22×D7911yescharacteristic
1102C2×C22⋊C4C22×D7911yescharacteristic
1103C2×C22⋊C4C22×D7911yescharacteristic
1104C2×C42—3162no—
1105C2×C42—791no—
1106C2×C42—791no—
1107C2×C42—791no—
1108C2×C42—791no—
1109C2×C42—791no—
1110C2×C42—791no—
1111C2×C42—791no—
1112C2×C42—791no—
1113C2×C42—791no—
1114#95—791no—
1115#95—791no—
1116#95—791no—
1117#95—791no—
1118#95—791no—
1119#95—791no—
1120#95—791no—
1121#95—791no—
1122#95—791no—
1123#95—791no—
1124#95—791no—
1125#95—791no—
1126#95—791no—
1127#95—791no—
1128#95—791no—
1129#95—791no—
1130#95—791no—
1131#95—791no—
1132#95—791no—
1133#95—791no—
1134#95—791no—
1135#95—791no—
1136#95—791no—
1137#95—791no—
1138#95—791no—
1139#95—791no—
1140#95—791no—
1141#95—791no—
1142#95—791no—
1143#95—791no—
1144#95—791no—
1145#95—791no—
1146#95—791no—
1147#95—791no—
1148#95—791no—
1149#95—791no—
1150#95C22×D7911yescharacteristic
1151#95C22×D7911yescharacteristic
1152#95C22×D7911yescharacteristic
1153#95C22×D7911yescharacteristic
1154#95C22×D7911yescharacteristic
1155#95C22×D7911yescharacteristic
1156#95C22×D7911yescharacteristic
1157#95C22×D7911yescharacteristic
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24—791no—
1166C24—791no—
1167C24C23×D7911yescharacteristic
1168C24C23×D7911yescharacteristic
1169C24C23×D7911yescharacteristic
1170C24C23×D7911yescharacteristic
1171#41—31616no—
1172C2×Q8—3161no—
1173C2×Q8—3161no—
1174C2×Q8—3161no—
1175C2×Q8—3161no—
1176C2×Q8—1582no—
1177C2×Q8—1582no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—3161no—
1188C2×D4—3161no—
1189C2×D4—3161no—
1190C2×D4—3161no—
1191C2×D4—3161no—
1192C2×D4—3161no—
1193C2×D4—3161no—
1194C2×D4—3161no—
1195C2×D4—3161no—
1196C2×D4—3161no—
1197C2×D4—3161no—
1198C2×D4—3161no—
1199C2×D4—3161no—
1200C2×D4—3161no—
1201C2×D4—3161no—
1202C2×D4—3161no—
1203C2×D4—3161no—
1204C2×D4—3161no—
1205C2×D4—3161no—
1206C2×D4—1582no—
1207C2×D4—1582no—
1208C2×D4—1582no—
1209C2×D4—1582no—
1210C2×D4—1582no—
1211C2×D4—1582no—
1212C2×D4—1582no—
1213C2×D4—1582no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—3161no—
1221C22×C4—3161no—
1222C22×C4—3161no—
1223C22×C4—3161no—
1224C22×C4—3161no—
1225C22×C4—3161no—
1226C22×C4—3161no—
1227C22×C4—3161no—
1228C22×C4—3161no—
1229C22×C4—3161no—
1230C22×C4—3161no—
1231C22×C4—3161no—
1232C22×C4—794no—
1233C22×C4—791no—
1234C22×C4—791no—
1235C22×C4—791no—
1236C22×C4—791no—
1237C22×C4—791no—
1238C22×C4—791no—
1239C22×C4—791no—
1240C22×C4—791no—
1241C22×C4—791no—
1242C22×C4—791no—
1243C22×C4—791no—
1244C22×C4—791no—
1245C22×C4—791no—
1246C22×C4—791no—
1247C22×C4—1582no—
1248C22×C4—1582no—
1249C22×C4—1582no—
1250C22×C4—1582no—
1251C22×C4—1582no—
1252C22×C4—1582no—
1253C22×C4—1582no—
1254C22×C4—1582no—
1255C22×C4C23×D7911yescharacteristic
1256C22×C4C23×D7911yescharacteristic
1257C22×C4C23×D7911yescharacteristic
1258C22×C4C23×D7911yescharacteristic
1259C22×C4C23×D7911yescharacteristic
1260C22×C4C23×D7911yescharacteristic
1261C22×C4C23×D7911yescharacteristic
1262C22×C4C23×D7911yescharacteristic
1263C22×C4C23×D7911yescharacteristic
1264C22×C4C23×D7911yescharacteristic
1265C22×C4C23×D7911yescharacteristic
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—3161no—
1271C4⋊C4—3161no—
1272C4⋊C4—3161no—
1273C4⋊C4—3161no—
1274C4⋊C4—3161no—
1275C4⋊C4—3161no—
1276C4⋊C4—3161no—
1277C4⋊C4—3161no—
1278C4⋊C4—3161no—
1279C4⋊C4—3161no—
1280C4⋊C4—3161no—
1281C4⋊C4—3161no—
1282C4⋊C4—3161no—
1283C4⋊C4—3161no—
1284C4⋊C4—3161no—
1285C4⋊C4—3161no—
1286C4⋊C4—3161no—
1287C4⋊C4—1582no—
1288C4⋊C4—1582no—
1289C4⋊C4—1582no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—3161no—
1308C22⋊C4—3161no—
1309C22⋊C4—3161no—
1310C22⋊C4—3161no—
1311C22⋊C4—3161no—
1312C22⋊C4—3161no—
1313C22⋊C4—3161no—
1314C22⋊C4—3161no—
1315C22⋊C4—3161no—
1316C22⋊C4—3161no—
1317C22⋊C4—3161no—
1318C22⋊C4—3161no—
1319C22⋊C4—3161no—
1320C22⋊C4—3161no—
1321C22⋊C4—3161no—
1322C22⋊C4—3161no—
1323C22⋊C4—3161no—
1324C22⋊C4—3161no—
1325C22⋊C4—3161no—
1326C22⋊C4—3161no—
1327C22⋊C4—3161no—
1328C22⋊C4—3161no—
1329C22⋊C4—3161no—
1330C22⋊C4—3161no—
1331C22⋊C4—3161no—
1332C22⋊C4—3161no—
1333C22⋊C4—1582no—
1334C22⋊C4—1582no—
1335C22⋊C4—1582no—
1336C22⋊C4—1582no—
1337C22⋊C4—1582no—
1338C22⋊C4—1582no—
1339C22⋊C4—1582no—
1340C22⋊C4—1582no—
1341C22⋊C4—1582no—
1342C22⋊C4—1582no—
1343C22⋊C4—1582no—
1344C42—3161no—
1345C42—3161no—
1346C42—3161no—
1347C42—3161no—
1348C42—3161no—
1349C42—3161no—
1350C42—3161no—
1351C42—1582no—
1352C42—1582no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—82no—
1382C23—82no—
1383C23—82no—
1384C23—82no—
1385C23—1581no—
1386C23—1581no—
1387C23—1581no—
1388C23—1581no—
1389C23—1581no—
1390C23—1581no—
1391C23—1581no—
1392C23—1581no—
1393C23—1581no—
1394C23—1581no—
1395C23—1581no—
1396C23—1581no—
1397C23—1581no—
1398C23—1581no—
1399C23#41×D7912yes—
1400C23#1457920612yes—
1401C23#1457920712yes—
1402C23C24×D7911yescharacteristic
1403Q8—3164no—
1404Q8—6322no—
1405D4—44no—
1406D4—82no—
1407D4—82no—
1408D4—3164no—
1409D4—3164no—
1410D4—3164no—
1411D4—6322no—
1412D4—6322no—
1413D4—6322no—
1414D4—6322no—
1415D4—6322no—
1416D4—6322no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—44no—
1451C2×C4—82no—
1452C2×C4—3164no—
1453C2×C4—3164no—
1454C2×C4—3164no—
1455C2×C4—3164no—
1456C2×C4—792no—
1457C2×C4—792no—
1458C2×C4—792no—
1459C2×C4—6322no—
1460C2×C4—6322no—
1461C2×C4—1581no—
1462C2×C4—1581no—
1463C2×C4—1581no—
1464C2×C4—1581no—
1465C2×C4—1581no—
1466C2×C4—1581no—
1467C2×C4—1581no—
1468C2×C4—1581no—
1469C2×C4—1581no—
1470C2×C4—1581no—
1471C2×C4—1581no—
1472C2×C4—1581no—
1473C2×C4—1581no—
1474C2×C4—1581no—
1475C2×C4—1581no—
1476C2×C4—1581no—
1477C2×C4—1581no—
1478C2×C4—1581no—
1479C2×C4—1581no—
1480C2×C4—1581no—
1481C2×C4—1581no—
1482C2×C4—1581no—
1483C2×C4—1581no—
1484C2×C4—1581no—
1485C2×C4—1581no—
1486C2×C4—1581no—
1487C2×C4—1581no—
1488C2×C4—1581no—
1489C2×C4—1581no—
1490C2×C4—1581no—
1491C2×C4—1581no—
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—1588no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—88no—
1529C22—3161no—
1530C22—3161no—
1531C22—3161no—
1532C22—3161no—
1533C22—3161no—
1534C22—3161no—
1535C22—3161no—
1536C22—3161no—
1537C22—3161no—
1538C22—3161no—
1539C22—3161no—
1540C22—3161no—
1541C22—3161no—
1542C22—3161no—
1543C22#1909914914yes—
1544C22C2×#41×D7911yescharacteristic
1545C22H(5,𝔽2)×D7911yescharacteristic
1546C22C2×#1457920611yescharacteristic
1547C22C2×#1457920711yescharacteristic
1548C22#1909939811yescharacteristic
1549C22#1909939811yescharacteristic
1550C22#1909939811yescharacteristic
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—3161no—
1563C4—3161no—
1564C4—3161no—
1565C4—3161no—
1566C4—3161no—
1567C4—3161no—
1568C4—3161no—
1569C4—3161no—
1570C4—3161no—
1571C4—3161no—
1572C4—3161no—
1573C4—1582no—
1574C4—1582no—
1575C4—1582no—
1576C2—24no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—6321no—
1581C2—6321no—
1582C2C2×#1909914911yescharacteristic
1583C2#2377711511yescharacteristic
1584C2#2377724711yescharacteristic
1585C2#2377759111yescharacteristic
1586C2#2377771111yescharacteristic
1587C2#2377774911yescharacteristic
1588C2#2377795411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2622C2
hypercenter#2622D79
hypocenterC79#36795
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2622

Complements

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

NH ≅ G/Ntype
1. #23771717C2semidirect
2. #23771697C2semidirect
3. #23771381C2semidirect
4. #23771335C2semidirect
5. #23771326C2semidirect
6. #23771121C2semidirect
7. #23771068C2semidirect
8. #23771026C2semidirect
9. #23771017C2semidirect
10. #23770975C2semidirect
11. #23770760C2semidirect
12. #23770729C2semidirect
13. #23770715C2semidirect
14. #23770660C2semidirect
15. #23770423C2semidirect
16. #23770216C2semidirect
17. #23770201C2semidirect
18. #23769805C2semidirect
19. #23769134C2semidirect
20. #23767964C2semidirect
21. #23767523C2semidirect
22. #23767154C2semidirect
23. #23767074C2semidirect
24. #23767008C2semidirect
25. #23766932C2semidirect
26. #23766787C2semidirect
27. #23766716C2semidirect
28. #23766068C2semidirect
29. #23765987C2semidirect
30. C2×#19098457C2semidirect
31. C79×#2622C2semidirect
33. C2×#14579156C22semidirect
35. C2×#14579147C22semidirect
49. C79⋊#401C22semidirect
50. #19098505C22semidirect
51. #19098505C22semidirect
52. #19098503C22semidirect
53. #19098493C22semidirect
54. #19098493C22semidirect
55. #19098492C22semidirect
57. #19098491C22semidirect
58. #19098489C22semidirect
61. #19098488C22semidirect
65. #19098484C22semidirect
66. #19098484C22semidirect
67. #19098480C22semidirect
74. #19098479C22semidirect
79. #19098476C22semidirect
85. #19098472C22semidirect
89. #19098468C22semidirect
90. #19098467C22semidirect
91. #19098467C22semidirect
92. #19098467C22semidirect
97. #19098463C22semidirect
98. #19098463C22semidirect
99. #19098463C22semidirect
100. #19098462C22semidirect
101. #19098459C22semidirect
102. #19098459C22semidirect
111. #19098457C22semidirect
115. #19098456C22semidirect
116. #19098456C22semidirect
117. #19098455C22semidirect
118. #19098455C22semidirect
119. #19098453C22semidirect
120. #19098453C22semidirect
121. #19098452C22semidirect
122. #19098452C22semidirect
123. #19098452C22semidirect
124. #19098452C22semidirect
127. #19098451C22semidirect
128. #19098449C22semidirect
129. #19098449C22semidirect
130. #19098448C22semidirect
131. #19098448C22semidirect
132. #19098448C22semidirect
133. #19098446C22semidirect
134. #19098446C22semidirect
135. #19098446C22semidirect
136. #19098444C22semidirect
143. #19098441C22semidirect
144. #19098441C22semidirect
149. #19098440C22semidirect
154. #19098438C22semidirect
155. #19098437C22semidirect
157. #19098434C22semidirect
158. #19098434C22semidirect
159. #19098430C22semidirect
160. #19098430C22semidirect
161. #19098427C22semidirect
162. #19098425C22semidirect
165. #19098422C22semidirect
166. #19098422C22semidirect
167. #19098421C22semidirect
168. #19098421C22semidirect
813. #2622D79semidirect
826. C79#36795semidirect

Maximal subgroups

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

subgroupindex
#237717172
#237716972
#237713812
#237713352
#237713262
#237711212
#237710682
#237710262
#237710172
#237709752
#237707602
#237707292
#237707152
#237706602
#237704232
#237702162
#237702012
#237698052
#237691342
#237679642
#237675232
#237671542
#237670742
#237670082
#237669322
#237667872
#237667162
#237660682
#237659872
C2×#190984572
C79×#26222
#3679579