Finite Group Databasebeta

← #34496166

Subgroups — #34496166

Order 20224.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771743C211yesmaximal, characteristic, complemented
2#23771706C211yesmaximal, characteristic, complemented
3#23771339C211yesmaximal, characteristic, complemented
4#23771330C211yesmaximal, characteristic, complemented
5#23771263C211yesmaximal, characteristic, complemented
6#23771254C211yesmaximal, characteristic, complemented
7#23771214C211yesmaximal, characteristic, complemented
8#23771206C211yesmaximal, characteristic, complemented
9#23770680C211yesmaximal, characteristic, complemented
10#23770676C211yesmaximal, characteristic, complemented
11#23770667C211yesmaximal, characteristic, complemented
12#23770666C211yesmaximal, characteristic, complemented
13#23770164C211yesmaximal, characteristic, complemented
14#23770152C211yesmaximal, characteristic, complemented
15#23770009C211yesmaximal, characteristic, complemented
16#23770006C211yesmaximal, characteristic, complemented
17#23769668C211yesmaximal, characteristic, complemented
18#23769661C211yesmaximal, characteristic, complemented
19#23769138C211yesmaximal, characteristic, complemented
20#23769138C211yesmaximal, characteristic, complemented
21#23767152C211yesmaximal, characteristic, complemented
22#23767144C211yesmaximal, characteristic, complemented
23#23767139C211yesmaximal, characteristic, complemented
24#23767131C211yesmaximal, characteristic, complemented
25#23766940C211yesmaximal, characteristic, complemented
26#23766936C211yesmaximal, characteristic, complemented
27#23766932C211yesmaximal, characteristic, complemented
28#23766101C211yesmaximal, characteristic, complemented
29#23766098C211yesmaximal, characteristic, complemented
30C2×#19098457C211yesmaximal, characteristic, complemented
31C79×#2424C211yesmaximal, characteristic, complemented
32C2×#14579157C2211yescharacteristic, complemented
33C2×#14579151C2211yescharacteristic, complemented
34C2×#14579146C2211yescharacteristic, complemented
35C2×#14579142C2211yescharacteristic, complemented
36C2×#14579135C2211yescharacteristic
37C2×#14579134C2211yescharacteristic
38C2×#14579133C2211yescharacteristic
39C2×#14579133C2211yescharacteristic
40C2×#14579133C2211yescharacteristic
41C2×#14579133C2211yescharacteristic
42C2×#14579133C2211yescharacteristic
43C2×#14579132C2211yescharacteristic
44C2×#14579130C2211yescharacteristic
45C2×#14579130C2211yescharacteristic
46C2×D4×Dic79C2211yescharacteristic
47C2×C4×C22⋊D79C2211yescharacteristic
48C2×(C22⋊D79)⋊C4C2211yescharacteristic
49C22×Dic79⋊C4C2211yescharacteristic
50C22×C22⋊Dic79C2211yescharacteristic
51C22×C22⋊Dic79C2211yescharacteristic
52C22×C4×Dic79C2211yescharacteristic
53#19098504C2211yescharacteristic, complemented
54#19098501C2211yescharacteristic, complemented
55#19098499C2211yescharacteristic, complemented
56#19098498C2211yescharacteristic, complemented
57#19098496C2211yescharacteristic, complemented
58#19098493C2211yescharacteristic, complemented
59#19098492C2211yescharacteristic, complemented
60#19098491C2211yescharacteristic
61#19098491C2211yescharacteristic
62#19098491C2211yescharacteristic
63#19098491C2211yescharacteristic
64#19098491C2211yescharacteristic, complemented
65#19098491C2211yescharacteristic, complemented
66#19098491C2211yescharacteristic, complemented
67#19098490C2211yescharacteristic, complemented
68#19098489C2211yescharacteristic, complemented
69#19098486C2211yescharacteristic
70#19098486C2211yescharacteristic
71#19098486C2211yescharacteristic
72#19098481C2211yescharacteristic, complemented
73#19098479C2211yescharacteristic
74#19098479C2211yescharacteristic
75#19098479C2211yescharacteristic, complemented
76#19098478C2211yescharacteristic
77#19098478C2211yescharacteristic
78#19098478C2211yescharacteristic
79#19098478C2211yescharacteristic
80#19098478C2211yescharacteristic
81#19098478C2211yescharacteristic
82#19098478C2211yescharacteristic, complemented
83#19098477C2211yescharacteristic
84#19098477C2211yescharacteristic
85#19098477C2211yescharacteristic
86#19098477C2211yescharacteristic
87#19098477C2211yescharacteristic
88#19098477C2211yescharacteristic
89#19098477C2211yescharacteristic, complemented
90#19098472C2211yescharacteristic
91#19098471C2211yescharacteristic
92#19098471C2211yescharacteristic
93#19098471C2211yescharacteristic
94#19098471C2211yescharacteristic
95#19098471C2211yescharacteristic
96#19098471C2211yescharacteristic
97#19098466C2211yescharacteristic
98#19098466C2211yescharacteristic, complemented
99#19098464C2211yescharacteristic, complemented
100#19098463C2211yescharacteristic
101#19098463C2211yescharacteristic
102#19098463C2211yescharacteristic, complemented
103#19098463C2211yescharacteristic, complemented
104#19098463C2211yescharacteristic, complemented
105#19098463C2211yescharacteristic, complemented
106#19098460C2211yescharacteristic, complemented
107#19098458C2211yescharacteristic, complemented
108#19098457C2211yescharacteristic
109#19098457C2211yescharacteristic
110#19098457C2211yescharacteristic
111#19098457C2211yescharacteristic
112#19098457C2211yescharacteristic
113#19098457C2211yescharacteristic
114#19098457C2211yescharacteristic
115#19098457C2211yescharacteristic
116#19098457C2211yescharacteristic
117#19098457C2211yescharacteristic, complemented
118#19098456C2211yescharacteristic
119#19098456C2211yescharacteristic, complemented
120#19098454C2211yescharacteristic, complemented
121#19098454C2211yescharacteristic, complemented
122#19098452C2211yescharacteristic, complemented
123#19098452C2211yescharacteristic, complemented
124#19098451C2211yescharacteristic
125#19098451C2211yescharacteristic, complemented
126#19098451C2211yescharacteristic, complemented
127#19098450C2211yescharacteristic, complemented
128#19098450C2211yescharacteristic, complemented
129#19098449C2211yescharacteristic, complemented
130#19098448C2211yescharacteristic, complemented
131#19098447C2211yescharacteristic, complemented
132#19098447C2211yescharacteristic, complemented
133#19098446C2211yescharacteristic, complemented
134#19098445C2211yescharacteristic, complemented
135#19098445C2211yescharacteristic, complemented
136#19098444C2211yescharacteristic, complemented
137#19098444C2211yescharacteristic, complemented
138#19098444C2211yescharacteristic, complemented
139#19098443C2211yescharacteristic
140#19098443C2211yescharacteristic
141#19098443C2211yescharacteristic
142#19098443C2211yescharacteristic
143#19098442C2211yescharacteristic
144#19098442C2211yescharacteristic, complemented
145#19098442C2211yescharacteristic, complemented
146#19098440C2211yescharacteristic
147#19098440C2211yescharacteristic
148#19098440C2211yescharacteristic
149#19098440C2211yescharacteristic, complemented
150#19098439C2211yescharacteristic
151#19098439C2211yescharacteristic
152#19098439C2211yescharacteristic, complemented
153#19098439C2211yescharacteristic, complemented
154#19098439C2211yescharacteristic, complemented
155#19098438C2211yescharacteristic
156#19098437C2211yescharacteristic, complemented
157#19098436C2211yescharacteristic
158#19098436C2211yescharacteristic, complemented
159#19098435C2211yescharacteristic
160#19098435C2211yescharacteristic, complemented
161#19098435C2211yescharacteristic, complemented
162#19098434C2211yescharacteristic, complemented
163#19098434C2211yescharacteristic, complemented
164#19098432C2211yescharacteristic, complemented
165#19098427C2211yescharacteristic, complemented
166#19098426C2211yescharacteristic, complemented
167#19098425C2211yescharacteristic, complemented
168#19098421C2211yescharacteristic
169#19098421C2211yescharacteristic
170C2×C79⋊#95C2211yescharacteristic
171C2×C79⋊#95C2211yescharacteristic
172C2×#121×C79C2211yescharacteristic
173C2×#121×C79C2211yescharacteristic
174C2×#120×C79C2211yescharacteristic
175C2×#120×C79C2211yescharacteristic
176C2×C4×D4×C79C2211yescharacteristic
177C22×C22⋊C4×C79C2211yescharacteristic
178#396×C79C2211yescharacteristic
179#394×C79C2211yescharacteristic
180#394×C79C2211yescharacteristic
181#392×C79C2211yescharacteristic
182#390×C79C2211yescharacteristic
183#388×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic
185#386×C79C2211yescharacteristic
186#385×C79C2211yescharacteristic
187C22×D316C2311yescharacteristic
188C22×C22⋊D79C2311yescharacteristic
189C22×C22⋊D79C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205#14579157—42no—
206#14579151—42no—
207#14579146—42no—
208#14579142—42no—
209#14579135—42no—
210#14579134—42no—
211#14579133—24no—
212#14579133—24no—
213#14579133—42no—
214#14579133—42no—
215#14579133—42no—
216#14579132—42no—
217#14579130—42no—
218#14579130—42no—
219D4×Dic79—42no—
220C4×C22⋊D79—42no—
221(C22⋊D79)⋊C4—42no—
222C2×C4⋊Dic79C2311yescharacteristic
223C2×C4⋊Dic79C2311yescharacteristic
224C2×C4⋊Dic79C2311yescharacteristic
225C2×C4⋊Dic79C2311yescharacteristic
226C2×Dic79⋊C4—42no—
227C2×Dic79⋊C4C2311yescharacteristic
228C2×Dic79⋊C4C2311yescharacteristic
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×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×C22⋊Dic79—24no—
246C2×C22⋊Dic79—42no—
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×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×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×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
329C22×D4×C79C2311yescharacteristic
330C22×D4×C79C2311yescharacteristic
331C22×D4×C79C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C22×D4×C79C2311yescharacteristic
336C23×C4×C79C2311yescharacteristic
337C23×C4×C79C2311yescharacteristic
338C23×C4×C79C2311yescharacteristic
339#121×C79—42no—
340#121×C79—42no—
341#120×C79—42no—
342#120×C79—42no—
343C4×D4×C79—42no—
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79—42no—
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×C42×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79C2411yescharacteristic
370C23×D79C2411yescharacteristic
371C2×D316—22no—
372C2×D316—41no—
373C2×D316—41no—
374C2×C22⋊D79—22no—
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—22no—
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—
399C2×C22⋊D79—41no—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C2×C22⋊D79—41no—
404C22×Dic79—22no—
405C22×Dic79—22no—
406C22×Dic79—22no—
407C22×Dic79—22no—
408C22×Dic79—41no—
409C22×Dic79—41no—
410C22×Dic79—41no—
411C22×Dic79—41no—
412C22×Dic79—41no—
413C22×Dic79—41no—
414C22×Dic79—41no—
415C22×Dic79—41no—
416C22×Dic79—41no—
417C22×Dic79—41no—
418C22×Dic79#4114yes—
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C2×C4×D79—41no—
434C2×C4×D79—41no—
435C2×C4×D79—41no—
436C2×C4×D79—41no—
437C2×C4×D79—41no—
438C2×C4×D79—41no—
439C4⋊Dic79—22no—
440C4⋊Dic79—41no—
441C4⋊Dic79—41no—
442C4⋊Dic79—41no—
443Dic79⋊C4—22no—
444Dic79⋊C4—22no—
445Dic79⋊C4—22no—
446Dic79⋊C4—22no—
447Dic79⋊C4—22no—
448Dic79⋊C4—22no—
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—
459Dic79⋊C4—41no—
460Dic79⋊C4—41no—
461C22⋊Dic79—22no—
462C22⋊Dic79—22no—
463C22⋊Dic79—22no—
464C22⋊Dic79—22no—
465C22⋊Dic79—22no—
466C22⋊Dic79—22no—
467C22⋊Dic79—22no—
468C22⋊Dic79—22no—
469C22⋊Dic79—22no—
470C22⋊Dic79—22no—
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—
495(C2×D79)⋊C4—41no—
496(C2×D79)⋊C4—41no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502C4×Dic79—22no—
503C4×Dic79—22no—
504C4×Dic79—41no—
505C4×Dic79—41no—
506C4×Dic79—41no—
507C4×Dic79—41no—
508C4×Dic79—41no—
509C24×C79—22no—
510C24×C79—22no—
511C24×C79—22no—
512C24×C79—41no—
513C24×C79—41no—
514C24×C79—41no—
515C24×C79—41no—
516C24×C79C2411yescharacteristic
517C24×C79C2411yescharacteristic
518C24×C79C2411yescharacteristic
519C24×C79C2411yescharacteristic
520C24×C79C2411yescharacteristic
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—22no—
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—
537C2×D4×C79—41no—
538C2×D4×C79—41no—
539C2×D4×C79—41no—
540C2×D4×C79—41no—
541C2×D4×C79—41no—
542C22×C4×C79—22no—
543C22×C4×C79—22no—
544C22×C4×C79—22no—
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×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C22×C4×C79C2411yescharacteristic
560C22×C4×C79C2411yescharacteristic
561C4⋊C4×C79—22no—
562C4⋊C4×C79—41no—
563C4⋊C4×C79—41no—
564C4⋊C4×C79—41no—
565C22⋊C4×C79—22no—
566C22⋊C4×C79—22no—
567C22⋊C4×C79—22no—
568C22⋊C4×C79—22no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79—41no—
573C22⋊C4×C79—41no—
574C22⋊C4×C79—41no—
575C22⋊C4×C79—41no—
576C22⋊C4×C79—41no—
577C22⋊C4×C79—41no—
578C22⋊C4×C79—41no—
579C22⋊C4×C79—41no—
580C42×C79—41no—
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—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—21no—
613C23×C79—44no—
614C23×C79—44no—
615C23×C79—44no—
616C23×C79—82no—
617C23×C79—82no—
618C23×C79—82no—
619C23×C79—82no—
620C23×C79C2×#4112yes—
621C23×C79H(5,𝔽2)12yes—
622C23×C79H(5,𝔽2)12yes—
623C23×C79C2511yescharacteristic
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—21no—
631C22×D79—21no—
632C22×D79—21no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—21no—
636C22×D79—21no—
637C22×D79—21no—
638D4×C79—44no—
639D4×C79—44no—
640D4×C79—82no—
641D4×C79—82no—
642D4×C79—82no—
643D4×C79—82no—
644D4×C79—82no—
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—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—44no—
675C2×C4×C79—82no—
676C2×C4×C79—82no—
677C2×C4×C79H(5,𝔽2)12yes—
678C22⋊D79—44no—
679C22⋊D79—44no—
680C22⋊D79—82no—
681C22⋊D79—82no—
682C22⋊D79—82no—
683C22⋊D79—82no—
684C22⋊D79—82no—
685C22⋊D79—82no—
686C22⋊D79—82no—
687C22⋊D79—82no—
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—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—44no—
728C2×Dic79—44no—
729C2×Dic79—44no—
730C2×Dic79—82no—
731C2×Dic79—82no—
732C2×Dic79C2×#4112yes—
733C2×Dic79C2×#4112yes—
734C2×Dic79H(5,𝔽2)12yes—
735D316—82no—
736C4×D79—82no—
737C4×D79—82no—
738C22×C79—22no—
739C22×C79—22no—
740C22×C79—22no—
741C22×C79—22no—
742C22×C79—22no—
743C22×C79—22no—
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—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79—41no—
764C22×C79—41no—
765C22×C79—41no—
766C22×C79—41no—
767C22×C79—41no—
768C22×C79—41no—
769C22×C79—41no—
770C22×C79—41no—
771C22×C79—41no—
772C22×C79—88no—
773C22×C79#54014yes—
774C22×C79C22×#4111yescharacteristic
775C22×C79C2×H(5,𝔽2)11yescharacteristic
776C22×C79C2×H(5,𝔽2)11yescharacteristic
777C22×C79C2×H(5,𝔽2)11yescharacteristic
778C22×C79C2×H(5,𝔽2)11yescharacteristic
779C22×C79#58511yescharacteristic
780C22×C79#58511yescharacteristic
781C2×D79—41no—
782C2×D79—41no—
783C2×D79—41no—
784C2×D79—41no—
785C2×D79—41no—
786C2×D79—41no—
787C2×D79—41no—
788C2×D79—41no—
789C2×D79—41no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—41no—
795C4×C79—22no—
796C4×C79—41no—
797C4×C79—41no—
798C4×C79—41no—
799C4×C79—41no—
800C4×C79—41no—
801C4×C79—41no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805Dic79—22no—
806Dic79—22no—
807Dic79—22no—
808Dic79—41no—
809Dic79—41no—
810Dic79—41no—
811Dic79—41no—
812Dic79—41no—
813Dic79—41no—
814Dic79—41no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819#36759—791nomaximal, Sylow
820C2×C79—24no—
821C2×C79—81no—
822C2×C79—81no—
823C2×C79—81no—
824C2×C79—81no—
825C2×C79C2×#54011yescharacteristic
826C2×C79#350511yescharacteristic
827C2×C79#350611yescharacteristic
828C2×C79#353411yescharacteristic
829C2×C79#353711yescharacteristic
830C2×C79#355811yescharacteristic
831C2×C79#356011yescharacteristic
832D79—81no—
833D79—81no—
834#2856—791no—
835#2851—791no—
836#2803—791no—
837#2803—791no—
838#2797—791no—
839#2797—791no—
840#2793—791no—
841#2793—791no—
842#2753—791no—
843#2753—791no—
844#2752—791no—
845#2752—791no—
846#2711—791no—
847#2711—791no—
848#2701—791no—
849#2701—791no—
850#2673—791no—
851#2673—791no—
852#2617—791no—
853#2617—791no—
854#2444—791no—
855#2444—791no—
856#2443—791no—
857#2443—791no—
858#2424—791no—
859#2424—791no—
860#2424—791no—
861#2424D7911yescharacteristic, complemented
862#2325—791no—
863#2325—791no—
864C2×#388—791no—
865C79#3675911yescharacteristic, complemented, Sylow
866C2×#127—791no—
867C2×#125—791no—
868C2×#123—791no—
869C2×#123—791no—
870C2×#121—791no—
871C2×#121—791no—
872C2×#121—791no—
873C2×#121—791no—
874C2×#121—791no—
875C2×#121—791no—
876C2×#121—791no—
877C2×#121—791no—
878C2×#121C2×D7911yescharacteristic
879C2×#121C2×D7911yescharacteristic
880C2×#120—791no—
881C2×#120—791no—
882C2×#120C2×D7911yescharacteristic
883C2×#120C2×D7911yescharacteristic
884C2×C4×D4—791no—
885C2×C4×D4—791no—
886C2×C4×D4—791no—
887C2×C4×D4C2×D7911yescharacteristic
888C22×C4⋊C4—791no—
889C22×C22⋊C4—791no—
890C22×C22⋊C4—791no—
891C22×C22⋊C4C2×D7911yescharacteristic
892C22×C42—791no—
893#400—791no—
894#400—791no—
895#399—791no—
896#399—791no—
897#398—791no—
898#398—791no—
899#397—791no—
900#397—791no—
901#397—791no—
902#397—791no—
903#397—791no—
904#397—791no—
905#397—791no—
906#397—791no—
907#397—791no—
908#397—791no—
909#396—791no—
910#396—791no—
911#396—791no—
912#396C2×D7911yescharacteristic
913#394—791no—
914#394—791no—
915#394—791no—
916#394—791no—
917#394—791no—
918#394—791no—
919#394—791no—
920#394—791no—
921#394—791no—
922#394—791no—
923#394—791no—
924#394—791no—
925#394—791no—
926#394—791no—
927#394—791no—
928#394—791no—
929#394—791no—
930#394—791no—
931#394C2×D7911yescharacteristic
932#394C2×D7911yescharacteristic
933#392—791no—
934#392—791no—
935#392—791no—
936#392—791no—
937#392—791no—
938#392—791no—
939#392—791no—
940#392C2×D7911yescharacteristic
941#390—791no—
942#390—791no—
943#390—791no—
944#390—791no—
945#390—791no—
946#390—791no—
947#390—791no—
948#390—791no—
949#390—791no—
950#390C2×D7911yescharacteristic
951#389—791no—
952#389—791no—
953#388—791no—
954#388—791no—
955#388—791no—
956#388—791no—
957#388—791no—
958#388—791no—
959#388—791no—
960#388—791no—
961#388—791no—
962#388—791no—
963#388—791no—
964#388—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388—791no—
970#388—791no—
971#388—791no—
972#388C2×D7911yescharacteristic
973#387—791no—
974#387—791no—
975#387—791no—
976#387—791no—
977#387—791no—
978#387—791no—
979#387—791no—
980#387—791no—
981#387—791no—
982#387—791no—
983#387—791no—
984#387—791no—
985#386—791no—
986#386—791no—
987#386—791no—
988#386—791no—
989#386—791no—
990#386—791no—
991#386—791no—
992#386—791no—
993#386—791no—
994#386—791no—
995#386—791no—
996#386—791no—
997#386—791no—
998#386—791no—
999#386—791no—
1000#386—791no—
1001#386C2×D7911yescharacteristic
1002#386C2×D7911yescharacteristic
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385—791no—
1007#385—791no—
1008#385—791no—
1009#385—791no—
1010#385—791no—
1011#385—791no—
1012#385C2×D7911yescharacteristic
1013#384—791no—
1014#382—791no—
1015#381—791no—
1016#381—791no—
1017#380—791no—
1018#380—791no—
1019C2×#95—791no—
1020C2×#95—791no—
1021C25C22×D7911yescharacteristic
1022C22×D4—791no—
1023C22×D4—791no—
1024C22×D4—791no—
1025C22×D4—791no—
1026C22×D4—791no—
1027C22×D4—791no—
1028C22×D4—791no—
1029C22×D4—791no—
1030C22×D4—791no—
1031C22×D4—791no—
1032C22×D4—791no—
1033C22×D4C22×D7911yescharacteristic
1034C22×D4C22×D7911yescharacteristic
1035C22×D4C22×D7911yescharacteristic
1036C22×D4C22×D7911yescharacteristic
1037C22×D4C22×D7911yescharacteristic
1038C22×D4C22×D7911yescharacteristic
1039C22×D4C22×D7911yescharacteristic
1040C23×C4—791no—
1041C23×C4—791no—
1042C23×C4—791no—
1043C23×C4—791no—
1044C23×C4—791no—
1045C23×C4—791no—
1046C23×C4—791no—
1047C23×C4C22×D7911yescharacteristic
1048C23×C4C22×D7911yescharacteristic
1049C23×C4C22×D7911yescharacteristic
1050#127—3162no—
1051#125—3162no—
1052#123—3162no—
1053#123—3162no—
1054#121—42no—
1055#121—42no—
1056#121—3162no—
1057#121—3162no—
1058#121—3162no—
1059#121—3162no—
1060#121—3162no—
1061#121—3162no—
1062#121—1584no—
1063#121—1584no—
1064#120—42no—
1065#120—42no—
1066#120—3162no—
1067#120—3162no—
1068C4×D4—42no—
1069C4×D4—3162no—
1070C4×D4—3162no—
1071C4×D4—3162no—
1072C2×C4⋊C4—3162no—
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×C4⋊C4—791no—
1083C2×C4⋊C4—791no—
1084C2×C4⋊C4—791no—
1085C2×C4⋊C4—791no—
1086C2×C4⋊C4—791no—
1087C2×C4⋊C4—791no—
1088C2×C4⋊C4—791no—
1089C2×C4⋊C4—791no—
1090C2×C4⋊C4—791no—
1091C2×C4⋊C4—791no—
1092C2×C4⋊C4—791no—
1093C2×C4⋊C4—791no—
1094C2×C4⋊C4—791no—
1095C2×C4⋊C4C22×D7911yescharacteristic
1096C2×C4⋊C4C22×D7911yescharacteristic
1097C2×C4⋊C4C22×D7911yescharacteristic
1098C2×C4⋊C4C22×D7911yescharacteristic
1099C2×C22⋊C4—42no—
1100C2×C22⋊C4—3162no—
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⋊C4—791no—
1122C2×C22⋊C4—791no—
1123C2×C22⋊C4—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
1126C2×C22⋊C4—791no—
1127C2×C22⋊C4—791no—
1128C2×C22⋊C4—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4—791no—
1140C2×C22⋊C4—791no—
1141C2×C22⋊C4—791no—
1142C2×C22⋊C4—1584no—
1143C2×C22⋊C4C22×D7911yescharacteristic
1144C2×C22⋊C4C22×D7911yescharacteristic
1145C2×C22⋊C4C22×D7911yescharacteristic
1146C2×C22⋊C4C22×D7911yescharacteristic
1147C2×C22⋊C4C22×D7911yescharacteristic
1148C2×C22⋊C4C22×D7911yescharacteristic
1149C2×C22⋊C4C22×D7911yescharacteristic
1150C2×C22⋊C4C22×D7911yescharacteristic
1151C2×C22⋊C4C22×D7911yescharacteristic
1152C2×C22⋊C4C22×D7911yescharacteristic
1153C2×C22⋊C4C22×D7911yescharacteristic
1154C2×C22⋊C4C22×D7911yescharacteristic
1155C2×C22⋊C4C22×D7911yescharacteristic
1156C2×C22⋊C4C22×D7911yescharacteristic
1157C2×C22⋊C4C22×D7911yescharacteristic
1158C2×C42—3162no—
1159C2×C42—791no—
1160C2×C42—791no—
1161C2×C42—791no—
1162C2×C42—791no—
1163C2×C42—791no—
1164C2×C42—791no—
1165C2×C42—791no—
1166C2×C42C22×D7911yescharacteristic
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#95—791no—
1180#95—791no—
1181#95—791no—
1182#95—791no—
1183#95—791no—
1184#95—791no—
1185#95—791no—
1186#95—791no—
1187#95—791no—
1188#95—791no—
1189#95—791no—
1190#95—791no—
1191#95—791no—
1192#95—791no—
1193#95—791no—
1194#95—791no—
1195#95—791no—
1196#95—791no—
1197#95—791no—
1198#95—791no—
1199#95C22×D7911yescharacteristic
1200#95C22×D7911yescharacteristic
1201#95C22×D7911yescharacteristic
1202#95C22×D7911yescharacteristic
1203C24—22no—
1204C24—22no—
1205C24—22no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24—791no—
1211C24—791no—
1212C24C23×D7911yescharacteristic
1213C24C23×D7911yescharacteristic
1214C24C23×D7911yescharacteristic
1215C24C23×D7911yescharacteristic
1216C24C23×D7911yescharacteristic
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—3161no—
1239C2×D4—3161no—
1240C2×D4—3161no—
1241C2×D4—3161no—
1242C2×D4—3161no—
1243C2×D4—3161no—
1244C2×D4—3161no—
1245C2×D4—3161no—
1246C2×D4—3161no—
1247C2×D4—3161no—
1248C2×D4—3161no—
1249C2×D4—3161no—
1250C2×D4—3161no—
1251C2×D4—3161no—
1252C2×D4—3161no—
1253C2×D4—3161no—
1254C2×D4—3161no—
1255C2×D4—3161no—
1256C2×D4—3161no—
1257C2×D4—3161no—
1258C2×D4—3161no—
1259C2×D4—3161no—
1260C2×D4—1582no—
1261C2×D4—1582no—
1262C2×D4—1582no—
1263C2×D4—1582no—
1264C2×D4—1582no—
1265C2×D4—1582no—
1266C2×D4—1582no—
1267C2×D4—1582no—
1268C2×D4—1582no—
1269C2×D4—1582no—
1270C2×D4—1582no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—3161no—
1281C22×C4—3161no—
1282C22×C4—3161no—
1283C22×C4—3161no—
1284C22×C4—3161no—
1285C22×C4—3161no—
1286C22×C4—3161no—
1287C22×C4—3161no—
1288C22×C4—3161no—
1289C22×C4—3161no—
1290C22×C4—3161no—
1291C22×C4—3161no—
1292C22×C4—3161no—
1293C22×C4—3161no—
1294C22×C4—3161no—
1295C22×C4—3161no—
1296C22×C4—794no—
1297C22×C4—791no—
1298C22×C4—791no—
1299C22×C4—791no—
1300C22×C4—791no—
1301C22×C4—791no—
1302C22×C4—791no—
1303C22×C4—791no—
1304C22×C4—791no—
1305C22×C4—791no—
1306C22×C4—791no—
1307C22×C4—791no—
1308C22×C4—791no—
1309C22×C4—791no—
1310C22×C4—791no—
1311C22×C4—1582no—
1312C22×C4—1582no—
1313C22×C4—1582no—
1314C22×C4—1582no—
1315C22×C4C23×D7911yescharacteristic
1316C22×C4C23×D7911yescharacteristic
1317C22×C4C23×D7911yescharacteristic
1318C22×C4C23×D7911yescharacteristic
1319C22×C4C23×D7911yescharacteristic
1320C22×C4C23×D7911yescharacteristic
1321C22×C4C23×D7911yescharacteristic
1322C22×C4C23×D7911yescharacteristic
1323C22×C4C23×D7911yescharacteristic
1324C22×C4C23×D7911yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—3161no—
1330C4⋊C4—3161no—
1331C4⋊C4—3161no—
1332C4⋊C4—3161no—
1333C4⋊C4—3161no—
1334C4⋊C4—3161no—
1335C4⋊C4—3161no—
1336C4⋊C4—3161no—
1337C4⋊C4—3161no—
1338C4⋊C4—3161no—
1339C4⋊C4—3161no—
1340C4⋊C4—3161no—
1341C4⋊C4—3161no—
1342C4⋊C4—3161no—
1343C4⋊C4—3161no—
1344C4⋊C4—1582no—
1345C4⋊C4—1582no—
1346C4⋊C4—1582no—
1347C4⋊C4—1582no—
1348C4⋊C4—1582no—
1349C4⋊C4—1582no—
1350C4⋊C4—1582no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—3161no—
1369C22⋊C4—3161no—
1370C22⋊C4—3161no—
1371C22⋊C4—3161no—
1372C22⋊C4—3161no—
1373C22⋊C4—3161no—
1374C22⋊C4—3161no—
1375C22⋊C4—3161no—
1376C22⋊C4—3161no—
1377C22⋊C4—3161no—
1378C22⋊C4—3161no—
1379C22⋊C4—3161no—
1380C22⋊C4—3161no—
1381C22⋊C4—3161no—
1382C22⋊C4—3161no—
1383C22⋊C4—3161no—
1384C22⋊C4—3161no—
1385C22⋊C4—3161no—
1386C22⋊C4—3161no—
1387C22⋊C4—3161no—
1388C22⋊C4—3161no—
1389C22⋊C4—3161no—
1390C22⋊C4—3161no—
1391C22⋊C4—3161no—
1392C22⋊C4—3161no—
1393C22⋊C4—3161no—
1394C22⋊C4—3161no—
1395C22⋊C4—1582no—
1396C22⋊C4—1582no—
1397C22⋊C4—1582no—
1398C22⋊C4—1582no—
1399C22⋊C4—1582no—
1400C22⋊C4—1582no—
1401C22⋊C4—1582no—
1402C22⋊C4—1582no—
1403C22⋊C4—1582no—
1404C22⋊C4—1582no—
1405C22⋊C4—1582no—
1406C22⋊C4—1582no—
1407C42—41no—
1408C42—3161no—
1409C42—3161no—
1410C42—3161no—
1411C42—3161no—
1412C42—3161no—
1413C42—1582no—
1414C42—1582no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—44no—
1448C23—44no—
1449C23—44no—
1450C23—82no—
1451C23—82no—
1452C23—82no—
1453C23—82no—
1454C23—1581no—
1455C23—1581no—
1456C23—1581no—
1457C23—1581no—
1458C23—1581no—
1459C23—1581no—
1460C23—1581no—
1461C23—1581no—
1462C23—1581no—
1463C23—1581no—
1464C23—1581no—
1465C23—1581no—
1466C23—1581no—
1467C23—1581no—
1468C23#41×D7912yes—
1469C23#1457920612yes—
1470C23#1457920612yes—
1471C23C24×D7911yescharacteristic
1472D4—44no—
1473D4—44no—
1474D4—82no—
1475D4—82no—
1476D4—82no—
1477D4—82no—
1478D4—82no—
1479D4—3164no—
1480D4—3164no—
1481D4—6322no—
1482D4—6322no—
1483D4—6322no—
1484D4—6322no—
1485D4—6322no—
1486D4—6322no—
1487D4—6322no—
1488D4—6322no—
1489D4—6322no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—44no—
1520C2×C4—82no—
1521C2×C4—82no—
1522C2×C4—3164no—
1523C2×C4—3164no—
1524C2×C4—3164no—
1525C2×C4—792no—
1526C2×C4—792no—
1527C2×C4—792no—
1528C2×C4—6322no—
1529C2×C4—6322no—
1530C2×C4—6322no—
1531C2×C4—6322no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
1538C2×C4—1581no—
1539C2×C4—1581no—
1540C2×C4—1581no—
1541C2×C4—1581no—
1542C2×C4—1581no—
1543C2×C4—1581no—
1544C2×C4—1581no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4—1581no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4—1581no—
1552C2×C4—1581no—
1553C2×C4—1581no—
1554C2×C4—1581no—
1555C2×C4—1581no—
1556C2×C4—1581no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4—1581no—
1568C2×C4—1581no—
1569C2×C4—1581no—
1570C2×C4—1581no—
1571C2×C4#1457920612yes—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—88no—
1607C22—3161no—
1608C22—3161no—
1609C22—3161no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—3161no—
1615C22—3161no—
1616C22—3161no—
1617C22—3161no—
1618C22—3161no—
1619C22—3161no—
1620C22—3161no—
1621C22#1909916314yes—
1622C22C2×#41×D7911yescharacteristic
1623C22H(5,𝔽2)×D7911yescharacteristic
1624C22C2×#1457920611yescharacteristic
1625C22C2×#1457920611yescharacteristic
1626C22C2×#1457920611yescharacteristic
1627C22#1909939811yescharacteristic
1628C22#1909939911yescharacteristic
1629C4—22no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—3161no—
1640C4—3161no—
1641C4—3161no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—3161no—
1650C4—1582no—
1651C4—1582no—
1652C4—1582no—
1653C2—24no—
1654C2—81no—
1655C2—81no—
1656C2—81no—
1657C2—81no—
1658C2—6321no—
1659C2—6321no—
1660C2C2×#1909916311yescharacteristic
1661C2#2377723811yescharacteristic
1662C2#2377724311yescharacteristic
1663C2#2377758511yescharacteristic
1664C2#2377763011yescharacteristic
1665C2#2377791411yescharacteristic
1666C2#2377794011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2424C2
hypercenter#2424D79
hypocenterC79#36759
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. #23771743C2semidirect
2. #23771706C2semidirect
3. #23771339C2semidirect
4. #23771330C2semidirect
5. #23771263C2semidirect
6. #23771254C2semidirect
7. #23771214C2semidirect
8. #23771206C2semidirect
9. #23770680C2semidirect
10. #23770676C2semidirect
11. #23770667C2semidirect
12. #23770666C2semidirect
13. #23770164C2semidirect
14. #23770152C2semidirect
15. #23770009C2semidirect
16. #23770006C2semidirect
17. #23769668C2semidirect
18. #23769661C2semidirect
19. #23769138C2semidirect
20. #23769138C2semidirect
21. #23767152C2semidirect
22. #23767144C2semidirect
23. #23767139C2semidirect
24. #23767131C2semidirect
25. #23766940C2semidirect
26. #23766936C2semidirect
27. #23766932C2semidirect
28. #23766101C2semidirect
29. #23766098C2semidirect
30. C2×#19098457C2semidirect
31. C79×#2424C2semidirect
32. C2×#14579157C22semidirect
33. C2×#14579151C22semidirect
34. C2×#14579146C22semidirect
35. C2×#14579142C22semidirect
53. #19098504C22semidirect
54. #19098501C22semidirect
55. #19098499C22semidirect
56. #19098498C22semidirect
57. #19098496C22semidirect
58. #19098493C22semidirect
59. #19098492C22semidirect
64. #19098491C22semidirect
65. #19098491C22semidirect
66. #19098491C22semidirect
67. #19098490C22semidirect
68. #19098489C22semidirect
72. #19098481C22semidirect
75. #19098479C22semidirect
82. #19098478C22semidirect
89. #19098477C22semidirect
98. #19098466C22semidirect
99. #19098464C22semidirect
102. #19098463C22semidirect
103. #19098463C22semidirect
104. #19098463C22semidirect
105. #19098463C22semidirect
106. #19098460C22semidirect
107. #19098458C22semidirect
117. #19098457C22semidirect
119. #19098456C22semidirect
120. #19098454C22semidirect
121. #19098454C22semidirect
122. #19098452C22semidirect
123. #19098452C22semidirect
125. #19098451C22semidirect
126. #19098451C22semidirect
127. #19098450C22semidirect
128. #19098450C22semidirect
129. #19098449C22semidirect
130. #19098448C22semidirect
131. #19098447C22semidirect
132. #19098447C22semidirect
133. #19098446C22semidirect
134. #19098445C22semidirect
135. #19098445C22semidirect
136. #19098444C22semidirect
137. #19098444C22semidirect
138. #19098444C22semidirect
144. #19098442C22semidirect
145. #19098442C22semidirect
149. #19098440C22semidirect
152. #19098439C22semidirect
153. #19098439C22semidirect
154. #19098439C22semidirect
156. #19098437C22semidirect
158. #19098436C22semidirect
160. #19098435C22semidirect
161. #19098435C22semidirect
162. #19098434C22semidirect
163. #19098434C22semidirect
164. #19098432C22semidirect
165. #19098427C22semidirect
166. #19098426C22semidirect
167. #19098425C22semidirect
861. #2424D79semidirect
865. C79#36759semidirect

Maximal subgroups

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

subgroupindex
#237717432
#237717062
#237713392
#237713302
#237712632
#237712542
#237712142
#237712062
#237706802
#237706762
#237706672
#237706662
#237701642
#237701522
#237700092
#237700062
#237696682
#237696612
#237691382
#237671522
#237671442
#237671392
#237671312
#237669402
#237669362
#237669322
#237661012
#237660982
C2×#190984572
C79×#24242
#3675979