Finite Group Databasebeta

← #34497063

Subgroups — #34497063

Order 20224.

2142 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#23771690C211yesmaximal, characteristic, complemented
2#23771680C211yesmaximal, characteristic, complemented
3#23771341C211yesmaximal, characteristic, complemented
4#23771259C211yesmaximal, characteristic, complemented
5#23771151C211yesmaximal, characteristic, complemented
6#23771098C211yesmaximal, characteristic, complemented
7#23771052C211yesmaximal, characteristic, complemented
8#23771018C211yesmaximal, characteristic, complemented
9#23770659C211yesmaximal, characteristic, complemented
10#23770632C211yesmaximal, characteristic, complemented
11#23770575C211yesmaximal, characteristic, complemented
12#23770198C211yesmaximal, characteristic, complemented
13#23770144C211yesmaximal, characteristic, complemented
14#23770116C211yesmaximal, characteristic, complemented
15#23770113C211yesmaximal, characteristic, complemented
16#23769930C211yesmaximal, characteristic, complemented
17#23769804C211yesmaximal, characteristic, complemented
18#23769767C211yesmaximal, characteristic, complemented
19#23769355C211yesmaximal, characteristic, complemented
20#23769330C211yesmaximal, characteristic, complemented
21#23767660C211yesmaximal, characteristic, complemented
22#23767525C211yesmaximal, characteristic, complemented
23#23767141C211yesmaximal, characteristic, complemented
24#23767078C211yesmaximal, characteristic, complemented
25#23767004C211yesmaximal, characteristic, complemented
26#23766932C211yesmaximal, characteristic, complemented
27#23766785C211yesmaximal, characteristic, complemented
28#23766066C211yesmaximal, characteristic, complemented
29#23765992C211yesmaximal, characteristic, complemented
30C2×#19098438C211yesmaximal, characteristic, complemented
31C79×#2404C211yesmaximal, characteristic, complemented
32C24×Dic79C2211yescharacteristic
33C2×#14579154C2211yescharacteristic, complemented
34C2×#14579148C2211yescharacteristic
35C2×#14579144C2211yescharacteristic
36C2×#14579143C2211yescharacteristic, complemented
37C2×#14579142C2211yescharacteristic
38C2×#14579142C2211yescharacteristic
39C2×#14579138C2211yescharacteristic
40C2×#14579133C2211yescharacteristic
41C2×#14579133C2211yescharacteristic
42C2×#14579133C2211yescharacteristic
43C2×#14579133C2211yescharacteristic
44C2×#14579132C2211yescharacteristic
45C2×#14579130C2211yescharacteristic
46C2×(C22⋊D79)⋊C4C2211yescharacteristic
47C2×#14579120C2211yescharacteristic
48C22×C4⋊Dic79C2211yescharacteristic
49C22×C4⋊Dic79C2211yescharacteristic
50C22×C22⋊Dic79C2211yescharacteristic
51C79⋊#401C2211yescharacteristic, complemented
52#19098505C2211yescharacteristic, complemented
53#19098505C2211yescharacteristic, complemented
54#19098505C2211yescharacteristic, complemented
55#19098505C2211yescharacteristic, complemented
56#19098504C2211yescharacteristic, complemented
57#19098504C2211yescharacteristic, complemented
58#19098503C2211yescharacteristic, complemented
59#19098503C2211yescharacteristic, complemented
60#19098499C2211yescharacteristic, complemented
61#19098497C2211yescharacteristic, complemented
62#19098497C2211yescharacteristic, complemented
63#19098495C2211yescharacteristic, complemented
64#19098492C2211yescharacteristic, complemented
65#19098491C2211yescharacteristic, complemented
66#19098491C2211yescharacteristic, complemented
67#19098491C2211yescharacteristic, complemented
68#19098490C2211yescharacteristic, complemented
69#19098488C2211yescharacteristic
70#19098488C2211yescharacteristic, complemented
71#19098488C2211yescharacteristic, complemented
72#19098486C2211yescharacteristic
73#19098486C2211yescharacteristic
74#19098486C2211yescharacteristic
75#19098486C2211yescharacteristic, complemented
76#19098486C2211yescharacteristic, complemented
77#19098484C2211yescharacteristic, complemented
78#19098482C2211yescharacteristic, complemented
79#19098479C2211yescharacteristic
80#19098479C2211yescharacteristic
81#19098479C2211yescharacteristic
82#19098479C2211yescharacteristic, complemented
83#19098479C2211yescharacteristic, complemented
84#19098478C2211yescharacteristic, complemented
85#19098477C2211yescharacteristic
86#19098477C2211yescharacteristic
87#19098477C2211yescharacteristic
88#19098477C2211yescharacteristic, complemented
89#19098476C2211yescharacteristic, complemented
90#19098475C2211yescharacteristic
91#19098475C2211yescharacteristic, complemented
92#19098474C2211yescharacteristic, complemented
93#19098471C2211yescharacteristic
94#19098471C2211yescharacteristic, complemented
95#19098470C2211yescharacteristic, complemented
96#19098470C2211yescharacteristic, complemented
97#19098467C2211yescharacteristic, complemented
98#19098466C2211yescharacteristic
99#19098466C2211yescharacteristic
100#19098466C2211yescharacteristic, complemented
101#19098466C2211yescharacteristic, complemented
102#19098463C2211yescharacteristic
103#19098463C2211yescharacteristic
104#19098460C2211yescharacteristic, complemented
105#19098460C2211yescharacteristic, complemented
106#19098460C2211yescharacteristic, complemented
107#19098457C2211yescharacteristic
108#19098457C2211yescharacteristic
109#19098457C2211yescharacteristic
110#19098457C2211yescharacteristic
111#19098456C2211yescharacteristic, complemented
112#19098456C2211yescharacteristic, complemented
113#19098455C2211yescharacteristic, complemented
114#19098455C2211yescharacteristic, complemented
115#19098451C2211yescharacteristic
116#19098450C2211yescharacteristic, complemented
117#19098450C2211yescharacteristic, complemented
118#19098450C2211yescharacteristic, complemented
119#19098450C2211yescharacteristic, complemented
120#19098448C2211yescharacteristic, complemented
121#19098446C2211yescharacteristic, complemented
122#19098446C2211yescharacteristic, complemented
123#19098443C2211yescharacteristic
124#19098443C2211yescharacteristic
125#19098443C2211yescharacteristic
126#19098443C2211yescharacteristic
127#19098443C2211yescharacteristic
128#19098443C2211yescharacteristic
129#19098443C2211yescharacteristic
130#19098443C2211yescharacteristic
131#19098443C2211yescharacteristic
132#19098443C2211yescharacteristic
133#19098442C2211yescharacteristic
134#19098442C2211yescharacteristic, complemented
135#19098442C2211yescharacteristic, complemented
136#19098440C2211yescharacteristic
137#19098440C2211yescharacteristic
138#19098440C2211yescharacteristic
139#19098439C2211yescharacteristic
140#19098438C2211yescharacteristic
141#19098438C2211yescharacteristic
142#19098438C2211yescharacteristic
143#19098438C2211yescharacteristic
144#19098438C2211yescharacteristic
145#19098438C2211yescharacteristic
146#19098438C2211yescharacteristic
147#19098438C2211yescharacteristic
148#19098438C2211yescharacteristic
149#19098437C2211yescharacteristic, complemented
150#19098437C2211yescharacteristic, complemented
151#19098437C2211yescharacteristic, complemented
152#19098436C2211yescharacteristic
153#19098436C2211yescharacteristic, complemented
154#19098436C2211yescharacteristic, complemented
155#19098435C2211yescharacteristic
156#19098435C2211yescharacteristic
157#19098435C2211yescharacteristic
158#19098435C2211yescharacteristic
159#19098424C2211yescharacteristic
160#19098424C2211yescharacteristic
161#19098423C2211yescharacteristic, complemented
162#19098423C2211yescharacteristic, complemented
163#19098423C2211yescharacteristic, complemented
164#19098423C2211yescharacteristic, complemented
165#19098421C2211yescharacteristic
166#19098421C2211yescharacteristic
167#19098421C2211yescharacteristic
168#19098419C2211yescharacteristic
169C22⋊C4×Dic79C2211yescharacteristic
170C2×C79⋊#95C2211yescharacteristic
171C2×C79⋊#95C2211yescharacteristic
172C22×#41×C79C2211yescharacteristic
173C2×#120×C79C2211yescharacteristic
174C2×#120×C79C2211yescharacteristic
175C22×C22⋊C4×C79C2211yescharacteristic
176#393×C79C2211yescharacteristic
177#393×C79C2211yescharacteristic
178#392×C79C2211yescharacteristic
179#392×C79C2211yescharacteristic
180#386×C79C2211yescharacteristic
181#386×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic
185#386×C79C2211yescharacteristic
186#381×C79C2211yescharacteristic
187C22×Dic158C2311yescharacteristic
188C22×C22⋊D79C2311yescharacteristic
189C22×C22⋊D79C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C23×Dic79—42no—
194C23×Dic79—42no—
195C23×Dic79—42no—
196C23×Dic79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205#14579154—42no—
206#14579148—42no—
207#14579144—24no—
208#14579143—42no—
209#14579142—42no—
210#14579142—42no—
211#14579138—42no—
212#14579133—42no—
213#14579133—42no—
214#14579133—42no—
215#14579133—42no—
216#14579132—42no—
217#14579130—42no—
218(C22⋊D79)⋊C4—42no—
219#14579120—42no—
220C2×C4⋊Dic79—42no—
221C2×C4⋊Dic79—42no—
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×C4⋊Dic79C2311yescharacteristic
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
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×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×C22⋊Dic79—42no—
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×(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×C4×Dic79C2311yescharacteristic
288C2×C4×Dic79C2311yescharacteristic
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
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
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C25×C79C2311yescharacteristic
329C2×#41×C79—24no—
330C2×#41×C79—42no—
331C2×#41×C79—42no—
332C22×Q8×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C22×D4×C79C2311yescharacteristic
336C22×D4×C79C2311yescharacteristic
337C22×D4×C79C2311yescharacteristic
338C22×D4×C79C2311yescharacteristic
339C22×D4×C79C2311yescharacteristic
340C23×C4×C79C2311yescharacteristic
341C23×C4×C79C2311yescharacteristic
342C23×C4×C79C2311yescharacteristic
343C23×C4×C79C2311yescharacteristic
344#120×C79—42no—
345#120×C79—42no—
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
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×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—22no—
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—22no—
394C22×Dic79—22no—
395C22×Dic79—22no—
396C22×Dic79—22no—
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×Dic79—41no—
407C22×Dic79—41no—
408C22×Dic79—41no—
409C22×Dic79—41no—
410C22×Dic79—41no—
411C22×Dic79—41no—
412C22×Dic79—416no—
413C22×Dic79C2411yescharacteristic
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—41no—
429C2×C4×D79—41no—
430C2×C4×D79—41no—
431C4⋊Dic79—22no—
432C4⋊Dic79—22no—
433C4⋊Dic79—41no—
434C4⋊Dic79—41no—
435C4⋊Dic79—41no—
436C4⋊Dic79—41no—
437C4⋊Dic79—41no—
438C4⋊Dic79—41no—
439C4⋊Dic79—41no—
440C4⋊Dic79—41no—
441C4⋊Dic79—41no—
442C4⋊Dic79—41no—
443C4⋊Dic79—41no—
444Dic79⋊C4—22no—
445Dic79⋊C4—22no—
446Dic79⋊C4—22no—
447Dic79⋊C4—22no—
448Dic79⋊C4—41no—
449Dic79⋊C4—41no—
450Dic79⋊C4—41no—
451Dic79⋊C4—41no—
452Dic79⋊C4—41no—
453Dic79⋊C4—41no—
454Dic79⋊C4—41no—
455Dic79⋊C4—41no—
456Dic79⋊C4—41no—
457Dic79⋊C4—41no—
458Dic79⋊C4—41no—
459C22⋊Dic79—22no—
460C22⋊Dic79—22no—
461C22⋊Dic79—22no—
462C22⋊Dic79—22no—
463C22⋊Dic79—22no—
464C22⋊Dic79—22no—
465C22⋊Dic79—22no—
466C22⋊Dic79—22no—
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—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486(C2×D79)⋊C4—22no—
487(C2×D79)⋊C4—22no—
488(C2×D79)⋊C4—41no—
489(C2×D79)⋊C4—41no—
490(C2×D79)⋊C4—41no—
491(C2×D79)⋊C4—41no—
492(C2×D79)⋊C4—41no—
493(C2×D79)⋊C4—41no—
494(C2×D79)⋊C4—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—22no—
504C24×C79—22no—
505C24×C79—41no—
506C24×C79—41no—
507C24×C79C2411yescharacteristic
508C24×C79C2411yescharacteristic
509C24×C79C2411yescharacteristic
510C24×C79C2411yescharacteristic
511C24×C79C2411yescharacteristic
512#41×C79—416no—
513C2×Q8×C79—22no—
514C2×Q8×C79—41no—
515C2×Q8×C79—41no—
516C2×D4×C79—22no—
517C2×D4×C79—22no—
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—22no—
527C2×D4×C79—41no—
528C2×D4×C79—41no—
529C2×D4×C79—41no—
530C2×D4×C79—41no—
531C2×D4×C79—41no—
532C2×D4×C79—41no—
533C2×D4×C79—41no—
534C2×D4×C79—41no—
535C2×D4×C79—41no—
536C2×D4×C79—41no—
537C22×C4×C79—22no—
538C22×C4×C79—22no—
539C22×C4×C79—22no—
540C22×C4×C79—22no—
541C22×C4×C79—22no—
542C22×C4×C79—41no—
543C22×C4×C79—41no—
544C22×C4×C79—41no—
545C22×C4×C79—41no—
546C22×C4×C79—41no—
547C22×C4×C79—41no—
548C22×C4×C79#4114yes—
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C22⋊C4×C79—22no—
560C22⋊C4×C79—22no—
561C22⋊C4×C79—22no—
562C22⋊C4×C79—22no—
563C22⋊C4×C79—22no—
564C22⋊C4×C79—22no—
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—
572C22⋊C4×C79—41no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
576C23×C79—21no—
577C23×C79—28no—
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—21no—
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—21no—
604C23×C79—44no—
605C23×C79—44no—
606C23×C79—44no—
607C23×C79—44no—
608C23×C79—44no—
609C23×C79—44no—
610C23×C79C2×#4112yes—
611C23×C79H(5,𝔽2)12yes—
612C23×C79H(5,𝔽2)12yes—
613C23×C79H(5,𝔽2)12yes—
614C23×C792−1+412yes—
615C23×C79C2511yescharacteristic
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—21no—
623Q8×C79—44no—
624D4×C79—44no—
625D4×C79—44no—
626D4×C79—44no—
627D4×C79—82no—
628D4×C79—82no—
629D4×C79—82no—
630D4×C79—82no—
631C2×C4×C79—28no—
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—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—44no—
661C2×C4×C79—44no—
662C2×C4×C79—44no—
663C2×C4×C79C2×#4112yes—
664C2×C4×C79C2×#4112yes—
665C22⋊D79—44no—
666C22⋊D79—82no—
667C22⋊D79—82no—
668C22⋊D79—82no—
669C22⋊D79—82no—
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—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—44no—
715C2×Dic79—44no—
716C2×Dic79—44no—
717C2×Dic79—44no—
718C2×Dic79—44no—
719C2×Dic79—44no—
720C2×Dic79—82no—
721C2×Dic79—82no—
722C2×Dic79H(5,𝔽2)12yes—
723C4×D79—82no—
724Dic158—82no—
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—22no—
737C22×C79—416no—
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—41no—
759C22×C79—41no—
760C22×C79#53814yes—
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#36791—791nomaximal, Sylow
801C2×C79—24no—
802C2×C79—42no—
803C2×C79—42no—
804C2×C79—81no—
805C2×C79—81no—
806C2×C79C2×#53811yescharacteristic
807C2×C79#349211yescharacteristic
808C2×C79#350611yescharacteristic
809C2×C79#353211yescharacteristic
810C2×C79#353411yescharacteristic
811C2×C79#353511yescharacteristic
812C2×C79#353611yescharacteristic
813D79—81no—
814#2849—791no—
815#2847—791no—
816#2804—791no—
817#2797—791no—
818#2788—791no—
819#2784—791no—
820#2780—791no—
821#2778—791no—
822#2751—791no—
823#2750—791no—
824#2745—791no—
825#2714—791no—
826#2710—791no—
827#2708—791no—
828#2708—791no—
829#2695—791no—
830#2686—791no—
831#2682—791no—
832#2643—791no—
833#2639—791no—
834#2481—791no—
835#2472—791no—
836#2443—791no—
837#2438—791no—
838#2430—791no—
839#2424—791no—
840#2411—791no—
841#2404D7911yescharacteristic, complemented
842#2322—791no—
843#2311—791no—
844C2×#385—791no—
845C79#3679111yescharacteristic, complemented, Sylow
846C22×#41C2×D7911yescharacteristic
847C24×C4—791no—
848C2×#126—791no—
849C2×#124—791no—
850C2×#123—791no—
851C2×#123—791no—
852C2×#123—791no—
853C2×#123—791no—
854C2×C22⋊Q8—791no—
855C2×#121—791no—
856C2×#121—791no—
857C2×#121—791no—
858C2×#121—791no—
859C2×#121—791no—
860C2×#120—791no—
861C2×#120C2×D7911yescharacteristic
862C2×#120C2×D7911yescharacteristic
863C2×C4×D4—791no—
864C2×#117—791no—
865C22×C4⋊C4—791no—
866C22×C4⋊C4—791no—
867C22×C22⋊C4—791no—
868C22×C22⋊C4C2×D7911yescharacteristic
869#401—791no—
870#400—791no—
871#400—791no—
872#400—791no—
873#400—791no—
874#400—791no—
875#400—791no—
876#400—791no—
877#400—791no—
878#399—791no—
879#398—791no—
880#398—791no—
881#398—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#396—791no—
891#396—791no—
892#396—791no—
893#396—791no—
894#396—791no—
895#395—791no—
896#395—791no—
897#394—791no—
898#394—791no—
899#394—791no—
900#394—791no—
901#394—791no—
902#394—791no—
903#394—791no—
904#394—791no—
905#394—791no—
906#394—791no—
907#393—791no—
908#393—791no—
909#393—791no—
910#393—791no—
911#393C2×D7911yescharacteristic
912#393C2×D7911yescharacteristic
913#392—791no—
914#392—791no—
915#392C2×D7911yescharacteristic
916#392C2×D7911yescharacteristic
917#391—791no—
918#391—791no—
919#391—791no—
920#390—791no—
921#390—791no—
922#390—791no—
923#390—791no—
924#390—791no—
925#390—791no—
926#389—791no—
927#389—791no—
928#389—791no—
929#388—791no—
930#388—791no—
931#388—791no—
932#388—791no—
933#388—791no—
934#388—791no—
935#388—791no—
936#388—791no—
937#388—791no—
938#387—791no—
939#387—791no—
940#387—791no—
941#387—791no—
942#387—791no—
943#387—791no—
944#387—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#386—791no—
959#386—791no—
960#386—791no—
961#386—791no—
962#386C2×D7911yescharacteristic
963#386C2×D7911yescharacteristic
964#386C2×D7911yescharacteristic
965#386C2×D7911yescharacteristic
966#386C2×D7911yescharacteristic
967#386C2×D7911yescharacteristic
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#385—791no—
984#385—791no—
985#385—791no—
986#385—791no—
987#381—791no—
988#381—791no—
989#381C2×D7911yescharacteristic
990#380—791no—
991#380—791no—
992#380—791no—
993#380—791no—
994#380—791no—
995#380—791no—
996#380—791no—
997#379—791no—
998C4×C22⋊C4—791no—
999C2×#95—791no—
1000C2×#95—791no—
1001C25C22×D7911yescharacteristic
1002C2×#41—24no—
1003C2×#41—42no—
1004C2×#41—42no—
1005C22×Q8—791no—
1006C22×Q8C22×D7911yescharacteristic
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
1016C22×D4C22×D7911yescharacteristic
1017C22×D4C22×D7911yescharacteristic
1018C22×D4C22×D7911yescharacteristic
1019C23×C4—3162no—
1020C23×C4—3162no—
1021C23×C4—3162no—
1022C23×C4—791no—
1023C23×C4—791no—
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4—791no—
1028C23×C4—791no—
1029C23×C4—791no—
1030C23×C4—791no—
1031C23×C4C22×D7911yescharacteristic
1032C23×C4C22×D7911yescharacteristic
1033C23×C4C22×D7911yescharacteristic
1034C23×C4C22×D7911yescharacteristic
1035#126—3162no—
1036#124—3162no—
1037#123—3162no—
1038#123—3162no—
1039#123—3162no—
1040#123—1584no—
1041C22⋊Q8—3162no—
1042#121—3162no—
1043#121—3162no—
1044#121—3162no—
1045#121—3162no—
1046#121—3162no—
1047#120—42no—
1048#120—42no—
1049#120—3162no—
1050C4×D4—3162no—
1051#117—3162no—
1052C2×C4⋊C4—3162no—
1053C2×C4⋊C4—3162no—
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⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4—791no—
1076C2×C4⋊C4—791no—
1077C2×C4⋊C4—791no—
1078C2×C4⋊C4—791no—
1079C2×C4⋊C4—791no—
1080C2×C4⋊C4—791no—
1081C2×C4⋊C4—791no—
1082C2×C22⋊C4—24no—
1083C2×C22⋊C4—3162no—
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⋊C4C22×D7911yescharacteristic
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×C42—791no—
1135C2×C42—791no—
1136C2×C42—791no—
1137C2×C42—791no—
1138C2×C42—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#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#95C22×D7911yescharacteristic
1176#95C22×D7911yescharacteristic
1177#95C22×D7911yescharacteristic
1178#95C22×D7911yescharacteristic
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—791no—
1191C24C23×D7911yescharacteristic
1192C24C23×D7911yescharacteristic
1193C24C23×D7911yescharacteristic
1194C24C23×D7911yescharacteristic
1195C24C23×D7911yescharacteristic
1196#41—416no—
1197C2×Q8—22no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×Q8—3161no—
1201C2×Q8—3161no—
1202C2×Q8—3161no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
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—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—3161no—
1225C2×D4—3161no—
1226C2×D4—3161no—
1227C2×D4—3161no—
1228C2×D4—3161no—
1229C2×D4—3161no—
1230C2×D4—3161no—
1231C2×D4—3161no—
1232C2×D4—3161no—
1233C2×D4—1582no—
1234C2×D4—1582no—
1235C2×D4—1582no—
1236C2×D4—1582no—
1237C2×D4—1582no—
1238C2×D4—1582no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—3161no—
1251C22×C4—3161no—
1252C22×C4—3161no—
1253C22×C4—31616no—
1254C22×C4—3161no—
1255C22×C4—3161no—
1256C22×C4—3161no—
1257C22×C4—3161no—
1258C22×C4—3161no—
1259C22×C4—3161no—
1260C22×C4—3161no—
1261C22×C4—3161no—
1262C22×C4—3161no—
1263C22×C4—3161no—
1264C22×C4—3161no—
1265C22×C4—3161no—
1266C22×C4—3161no—
1267C22×C4—3161no—
1268C22×C4—3161no—
1269C22×C4—791no—
1270C22×C4—791no—
1271C22×C4—791no—
1272C22×C4—791no—
1273C22×C4—791no—
1274C22×C4—791no—
1275C22×C4—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—791no—
1279C22×C4—791no—
1280C22×C4—791no—
1281C22×C4—791no—
1282C22×C4—791no—
1283C22×C4—791no—
1284C22×C4—1582no—
1285C22×C4—1582no—
1286C22×C4—1582no—
1287C22×C4—1582no—
1288C22×C4—1582no—
1289C22×C4—1582no—
1290C22×C4—1582no—
1291C22×C4—1582no—
1292C22×C4—1582no—
1293C22×C4#1192962314yes—
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C22×C4C23×D7911yescharacteristic
1300C22×C4C23×D7911yescharacteristic
1301C22×C4C23×D7911yescharacteristic
1302C22×C4C23×D7911yescharacteristic
1303C22×C4C23×D7911yescharacteristic
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—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—3161no—
1319C4⋊C4—3161no—
1320C4⋊C4—3161no—
1321C4⋊C4—3161no—
1322C4⋊C4—3161no—
1323C4⋊C4—3161no—
1324C4⋊C4—3161no—
1325C4⋊C4—3161no—
1326C4⋊C4—1582no—
1327C4⋊C4—1582no—
1328C4⋊C4—1582no—
1329C4⋊C4—1582no—
1330C4⋊C4—1582no—
1331C4⋊C4—1582no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
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—3161no—
1368C22⋊C4—3161no—
1369C22⋊C4—3161no—
1370C22⋊C4—3161no—
1371C22⋊C4—3161no—
1372C22⋊C4—1582no—
1373C22⋊C4—1582no—
1374C22⋊C4—1582no—
1375C22⋊C4—1582no—
1376C22⋊C4—1582no—
1377C22⋊C4—1582no—
1378C22⋊C4—1582no—
1379C22⋊C4—1582no—
1380C22⋊C4—1582no—
1381C22⋊C4—1582no—
1382C42—3161no—
1383C42—3161no—
1384C42—3161no—
1385C42—3161no—
1386C42—3161no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
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—21no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—1581no—
1425C23—1581no—
1426C23—1581no—
1427C23—1581no—
1428C23—1581no—
1429C23—1581no—
1430C23—1581no—
1431C23C2×#1192962312yes—
1432C23#1457920612yes—
1433C23#1457920612yes—
1434C23#1457920712yes—
1435C23#1457920812yes—
1436C23C24×D7911yescharacteristic
1437Q8—44no—
1438Q8—6322no—
1439D4—44no—
1440D4—44no—
1441D4—44no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—3164no—
1447D4—6322no—
1448D4—6322no—
1449D4—6322no—
1450D4—6322no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—28no—
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—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—3164no—
1484C2×C4—3164no—
1485C2×C4—3164no—
1486C2×C4—3164no—
1487C2×C4—3164no—
1488C2×C4—3164no—
1489C2×C4—792no—
1490C2×C4—6322no—
1491C2×C4—6322no—
1492C2×C4—6322no—
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—1581no—
1537C2×C4C2×#1192962312yes—
1538C2×C4C2×#1192962312yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
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—41no—
1573C22—41no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22—3161no—
1578C22—3161no—
1579C22—3161no—
1580C22—3161no—
1581C22#1909914814yes—
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×#1909914811yescharacteristic
1621C2#2377710611yescharacteristic
1622C2#2377725111yescharacteristic
1623C2#2377754911yescharacteristic
1624C2#2377758611yescharacteristic
1625C2#2377759711yescharacteristic
1626C2#2377761511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2404C2
hypercenter#2404D79
hypocenterC79#36791
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2404

Complements

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

NH ≅ G/Ntype
1. #23771690C2semidirect
2. #23771680C2semidirect
3. #23771341C2semidirect
4. #23771259C2semidirect
5. #23771151C2semidirect
6. #23771098C2semidirect
7. #23771052C2semidirect
8. #23771018C2semidirect
9. #23770659C2semidirect
10. #23770632C2semidirect
11. #23770575C2semidirect
12. #23770198C2semidirect
13. #23770144C2semidirect
14. #23770116C2semidirect
15. #23770113C2semidirect
16. #23769930C2semidirect
17. #23769804C2semidirect
18. #23769767C2semidirect
19. #23769355C2semidirect
20. #23769330C2semidirect
21. #23767660C2semidirect
22. #23767525C2semidirect
23. #23767141C2semidirect
24. #23767078C2semidirect
25. #23767004C2semidirect
26. #23766932C2semidirect
27. #23766785C2semidirect
28. #23766066C2semidirect
29. #23765992C2semidirect
30. C2×#19098438C2semidirect
31. C79×#2404C2semidirect
33. C2×#14579154C22semidirect
36. C2×#14579143C22semidirect
51. C79⋊#401C22semidirect
52. #19098505C22semidirect
53. #19098505C22semidirect
54. #19098505C22semidirect
55. #19098505C22semidirect
56. #19098504C22semidirect
57. #19098504C22semidirect
58. #19098503C22semidirect
59. #19098503C22semidirect
60. #19098499C22semidirect
61. #19098497C22semidirect
62. #19098497C22semidirect
63. #19098495C22semidirect
64. #19098492C22semidirect
65. #19098491C22semidirect
66. #19098491C22semidirect
67. #19098491C22semidirect
68. #19098490C22semidirect
70. #19098488C22semidirect
71. #19098488C22semidirect
75. #19098486C22semidirect
76. #19098486C22semidirect
77. #19098484C22semidirect
78. #19098482C22semidirect
82. #19098479C22semidirect
83. #19098479C22semidirect
84. #19098478C22semidirect
88. #19098477C22semidirect
89. #19098476C22semidirect
91. #19098475C22semidirect
92. #19098474C22semidirect
94. #19098471C22semidirect
95. #19098470C22semidirect
96. #19098470C22semidirect
97. #19098467C22semidirect
100. #19098466C22semidirect
101. #19098466C22semidirect
104. #19098460C22semidirect
105. #19098460C22semidirect
106. #19098460C22semidirect
111. #19098456C22semidirect
112. #19098456C22semidirect
113. #19098455C22semidirect
114. #19098455C22semidirect
116. #19098450C22semidirect
117. #19098450C22semidirect
118. #19098450C22semidirect
119. #19098450C22semidirect
120. #19098448C22semidirect
121. #19098446C22semidirect
122. #19098446C22semidirect
134. #19098442C22semidirect
135. #19098442C22semidirect
149. #19098437C22semidirect
150. #19098437C22semidirect
151. #19098437C22semidirect
153. #19098436C22semidirect
154. #19098436C22semidirect
161. #19098423C22semidirect
162. #19098423C22semidirect
163. #19098423C22semidirect
164. #19098423C22semidirect
841. #2404D79semidirect
845. C79#36791semidirect

Maximal subgroups

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

subgroupindex
#237716902
#237716802
#237713412
#237712592
#237711512
#237710982
#237710522
#237710182
#237706592
#237706322
#237705752
#237701982
#237701442
#237701162
#237701132
#237699302
#237698042
#237697672
#237693552
#237693302
#237676602
#237675252
#237671412
#237670782
#237670042
#237669322
#237667852
#237660662
#237659922
C2×#190984382
C79×#24042
#3679179