Finite Group Databasebeta

← #34498400

Subgroups — #34498400

Order 20224.

1958 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771690C211yesmaximal, characteristic, complemented
2#23771690C211yesmaximal, characteristic, complemented
3#23771165C211yesmaximal, characteristic, complemented
4#23771011C211yesmaximal, characteristic, complemented
5#23770829C211yesmaximal, characteristic, complemented
6#23770789C211yesmaximal, characteristic, complemented
7#23770679C211yesmaximal, characteristic, complemented
8#23770668C211yesmaximal, characteristic, complemented
9#23770543C211yesmaximal, characteristic, complemented
10#23770252C211yesmaximal, characteristic, complemented
11#23770127C211yesmaximal, characteristic, complemented
12#23770095C211yesmaximal, characteristic, complemented
13#23770009C211yesmaximal, characteristic, complemented
14#23769961C211yesmaximal, characteristic, complemented
15#23769877C211yesmaximal, characteristic, complemented
16#23769787C211yesmaximal, characteristic, complemented
17#23769787C211yesmaximal, characteristic, complemented
18#23769294C211yesmaximal, characteristic, complemented
19#23769236C211yesmaximal, characteristic, complemented
20#23768701C211yesmaximal, characteristic, complemented
21#23768694C211yesmaximal, characteristic, complemented
22#23768461C211yesmaximal, characteristic, complemented
23#23768438C211yesmaximal, characteristic, complemented
24#23767461C211yesmaximal, characteristic, complemented
25#23767300C211yesmaximal, characteristic, complemented
26#23767161C211yesmaximal, characteristic, complemented
27#23766910C211yesmaximal, characteristic, complemented
28#23766173C211yesmaximal, characteristic, complemented
29#23766167C211yesmaximal, characteristic, complemented
30#120×Dic79C211yesmaximal, characteristic, complemented
31C79×#2669C211yesmaximal, characteristic
32C24×Dic79C2211yescharacteristic
33C2×#14579154C2211yescharacteristic
34C2×#14579154C2211yescharacteristic
35C2×#14579154C2211yescharacteristic, complemented
36C2×#14579142C2211yescharacteristic
37C2×#14579142C2211yescharacteristic
38C2×#14579142C2211yescharacteristic
39C2×#14579142C2211yescharacteristic
40C2×#14579142C2211yescharacteristic
41C2×#14579142C2211yescharacteristic, complemented
42C2×D4×Dic79C2211yescharacteristic
43C2×D4×Dic79C2211yescharacteristic
44C2×D4×Dic79C2211yescharacteristic
45C79⋊#401C2211yescharacteristic, complemented
46#19098505C2211yescharacteristic, complemented
47#19098505C2211yescharacteristic, complemented
48#19098504C2211yescharacteristic, complemented
49#19098503C2211yescharacteristic, complemented
50#19098499C2211yescharacteristic
51#19098499C2211yescharacteristic
52#19098499C2211yescharacteristic, complemented
53#19098497C2211yescharacteristic, complemented
54#19098497C2211yescharacteristic, complemented
55#19098496C2211yescharacteristic, complemented
56#19098496C2211yescharacteristic, complemented
57#19098495C2211yescharacteristic, complemented
58#19098491C2211yescharacteristic
59#19098491C2211yescharacteristic
60#19098491C2211yescharacteristic, complemented
61#19098491C2211yescharacteristic, complemented
62#19098488C2211yescharacteristic, complemented
63#19098488C2211yescharacteristic, complemented
64#19098486C2211yescharacteristic
65#19098486C2211yescharacteristic
66#19098486C2211yescharacteristic
67#19098486C2211yescharacteristic
68#19098486C2211yescharacteristic, complemented
69#19098486C2211yescharacteristic, complemented
70#19098486C2211yescharacteristic, complemented
71#19098477C2211yescharacteristic
72#19098477C2211yescharacteristic
73#19098477C2211yescharacteristic
74#19098477C2211yescharacteristic
75#19098477C2211yescharacteristic
76#19098477C2211yescharacteristic
77#19098477C2211yescharacteristic
78#19098477C2211yescharacteristic
79#19098477C2211yescharacteristic
80#19098477C2211yescharacteristic
81#19098477C2211yescharacteristic, complemented
82#19098477C2211yescharacteristic, complemented
83#19098477C2211yescharacteristic, complemented
84#19098477C2211yescharacteristic, complemented
85#19098477C2211yescharacteristic, complemented
86#19098477C2211yescharacteristic, complemented
87#19098466C2211yescharacteristic
88#19098466C2211yescharacteristic
89#19098466C2211yescharacteristic
90#19098466C2211yescharacteristic
91#19098466C2211yescharacteristic
92#19098466C2211yescharacteristic, complemented
93#19098466C2211yescharacteristic, complemented
94#19098461C2211yescharacteristic, complemented
95#19098459C2211yescharacteristic, complemented
96#19098458C2211yescharacteristic, complemented
97#19098457C2211yescharacteristic
98#19098457C2211yescharacteristic
99#19098457C2211yescharacteristic
100#19098457C2211yescharacteristic
101#19098457C2211yescharacteristic, complemented
102#19098457C2211yescharacteristic, complemented
103#19098456C2211yescharacteristic
104#19098456C2211yescharacteristic
105#19098456C2211yescharacteristic, complemented
106#19098456C2211yescharacteristic, complemented
107#19098456C2211yescharacteristic, complemented
108#19098451C2211yescharacteristic
109#19098451C2211yescharacteristic
110#19098451C2211yescharacteristic, complemented
111#19098451C2211yescharacteristic, complemented
112#19098449C2211yescharacteristic, complemented
113#19098449C2211yescharacteristic, complemented
114#19098447C2211yescharacteristic, complemented
115#19098447C2211yescharacteristic, complemented
116#19098446C2211yescharacteristic, complemented
117#19098446C2211yescharacteristic, complemented
118#19098445C2211yescharacteristic, complemented
119#19098445C2211yescharacteristic, complemented
120#19098444C2211yescharacteristic, complemented
121#19098443C2211yescharacteristic
122#19098443C2211yescharacteristic
123#19098443C2211yescharacteristic
124#19098443C2211yescharacteristic
125#19098443C2211yescharacteristic
126#19098443C2211yescharacteristic
127#19098443C2211yescharacteristic
128#19098443C2211yescharacteristic
129#19098443C2211yescharacteristic
130#19098443C2211yescharacteristic
131#19098443C2211yescharacteristic
132#19098443C2211yescharacteristic
133#19098443C2211yescharacteristic
134#19098443C2211yescharacteristic, complemented
135#19098443C2211yescharacteristic, complemented
136#19098443C2211yescharacteristic, complemented
137#19098438C2211yescharacteristic
138#19098438C2211yescharacteristic
139#19098438C2211yescharacteristic
140#19098436C2211yescharacteristic, complemented
141#19098435C2211yescharacteristic
142#19098435C2211yescharacteristic
143#19098435C2211yescharacteristic
144#19098435C2211yescharacteristic
145#19098435C2211yescharacteristic
146#19098435C2211yescharacteristic
147#19098435C2211yescharacteristic
148#19098435C2211yescharacteristic
149#19098435C2211yescharacteristic, complemented
150#19098432C2211yescharacteristic, complemented
151#19098427C2211yescharacteristic, complemented
152#19098427C2211yescharacteristic, complemented
153#19098427C2211yescharacteristic, complemented
154#19098426C2211yescharacteristic, complemented
155#19098424C2211yescharacteristic
156#19098424C2211yescharacteristic
157#19098424C2211yescharacteristic
158#19098424C2211yescharacteristic
159#19098423C2211yescharacteristic, complemented
160#19098421C2211yescharacteristic, complemented
161#19098421C2211yescharacteristic, complemented
162#19098419C2211yescharacteristic
163#19098419C2211yescharacteristic
164#19098419C2211yescharacteristic
165C4×Dic79⋊C4C2211yescharacteristic, complemented
166#19098414C2211yescharacteristic, complemented
167C22⋊C4×Dic79C2211yescharacteristic
168C22⋊C4×Dic79C2211yescharacteristic
169C22⋊C4×Dic79C2211yescharacteristic
170C22⋊C4×Dic79C2211yescharacteristic, complemented
171C4×C22⋊Dic79C2211yescharacteristic, complemented
172C2×#127×C79C2211yescharacteristic
173C2×#121×C79C2211yescharacteristic
174C2×#121×C79C2211yescharacteristic
175C2×#120×C79C2211yescharacteristic
176C2×#120×C79C2211yescharacteristic
177C2×#120×C79C2211yescharacteristic
178#394×C79C2211yescharacteristic
179#394×C79C2211yescharacteristic
180#392×C79C2211yescharacteristic
181#392×C79C2211yescharacteristic
182#392×C79C2211yescharacteristic
183#392×C79C2211yescharacteristic
184#388×C79C2211yescharacteristic
185#388×C79C2211yescharacteristic
186#386×C79C2211yescharacteristic
187C23×Dic79—42no—
188C23×Dic79—42no—
189C23×Dic79—42no—
190C23×Dic79C2311yescharacteristic
191C23×Dic79C2311yescharacteristic
192C23×Dic79C2311yescharacteristic
193C23×Dic79C2311yescharacteristic
194C23×Dic79C2311yescharacteristic
195C23×Dic79C2311yescharacteristic
196C23×Dic79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
198#14579154—24no—
199#14579154—42no—
200#14579154—42no—
201#14579142—42no—
202#14579142—42no—
203#14579142—42no—
204#14579142—42no—
205#14579142—42no—
206#14579142—42no—
207D4×Dic79—42no—
208D4×Dic79—42no—
209D4×Dic79—42no—
210C2×C4⋊Dic79C2311yescharacteristic
211C2×C4⋊Dic79C2311yescharacteristic
212C2×C4⋊Dic79C2311yescharacteristic
213C2×C4⋊Dic79C2311yescharacteristic
214C2×C4⋊Dic79C2311yescharacteristic
215C2×C4⋊Dic79C2311yescharacteristic
216C2×C4⋊Dic79C2311yescharacteristic
217C2×C4⋊Dic79C2311yescharacteristic
218C2×Dic79⋊C4C2311yescharacteristic
219C2×Dic79⋊C4C2311yescharacteristic
220C2×Dic79⋊C4C2311yescharacteristic
221C2×Dic79⋊C4C2311yescharacteristic
222C2×Dic79⋊C4C2311yescharacteristic
223C2×Dic79⋊C4C2311yescharacteristic
224C2×Dic79⋊C4C2311yescharacteristic
225C2×Dic79⋊C4C2311yescharacteristic
226C2×Dic79⋊C4C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
239C2×C22⋊Dic79C2311yescharacteristic
240C2×C22⋊Dic79C2311yescharacteristic
241C2×C22⋊Dic79C2311yescharacteristic
242C2×C22⋊Dic79C2311yescharacteristic
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×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×C4×Dic79C2311yescharacteristic
279C2×C4×Dic79C2311yescharacteristic
280C2×C4×Dic79C2311yescharacteristic
281C2×C4×Dic79C2311yescharacteristic
282C2×C4×Dic79C2311yescharacteristic
283C2×C4×Dic79C2311yescharacteristic
284C2×C4×Dic79C2311yescharacteristic
285C2×C4×Dic79C2311yescharacteristic
286C79⋊#95C2311yescharacteristic
287C79⋊#95C2311yescharacteristic
288C79⋊#95C2311yescharacteristic
289C79⋊#95C2311yescharacteristic
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
322C25×C79C2311yescharacteristic
323C22×D4×C79C2311yescharacteristic
324C22×D4×C79C2311yescharacteristic
325C22×D4×C79C2311yescharacteristic
326C22×D4×C79C2311yescharacteristic
327C22×D4×C79C2311yescharacteristic
328C22×D4×C79C2311yescharacteristic
329C22×D4×C79C2311yescharacteristic
330C22×D4×C79C2311yescharacteristic
331C22×D4×C79C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336#127×C79—42no—
337#121×C79—24no—
338#121×C79—42no—
339#120×C79—24no—
340#120×C79—42no—
341#120×C79—42no—
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C4⋊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
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C42×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363C22×Dic79—22no—
364C22×Dic79—22no—
365C22×Dic79—22no—
366C22×Dic79—22no—
367C22×Dic79—22no—
368C22×Dic79—22no—
369C22×Dic79—22no—
370C22×Dic79—22no—
371C22×Dic79—41no—
372C22×Dic79—41no—
373C22×Dic79—41no—
374C22×Dic79—41no—
375C22×Dic79—41no—
376C22×Dic79—41no—
377C22×Dic79—41no—
378C22×Dic79—41no—
379C22×Dic79—41no—
380C22×Dic79—41no—
381C22×Dic79—41no—
382C22×Dic79—41no—
383C22×Dic79—41no—
384C22×Dic79—41no—
385C22×Dic79—41no—
386C22×Dic79—41no—
387C22×Dic79—416no—
388C22×Dic79C2411yescharacteristic
389C22×Dic79C2411yescharacteristic
390C22×Dic79C2411yescharacteristic
391C22×Dic79C2411yescharacteristic
392C22×Dic79C2411yescharacteristic
393C22×Dic79C2411yescharacteristic
394C22×Dic79C2411yescharacteristic
395C22×Dic79C2411yescharacteristic
396C22×Dic79C2411yescharacteristic
397C22×Dic79C2411yescharacteristic
398C22×Dic79C2411yescharacteristic
399C22×Dic79C2411yescharacteristic
400C22×Dic79C2411yescharacteristic
401C22×Dic79C2411yescharacteristic
402C22×Dic79C2411yescharacteristic
403C22×Dic79C2411yescharacteristic
404C4⋊Dic79—22no—
405C4⋊Dic79—41no—
406C4⋊Dic79—41no—
407C4⋊Dic79—41no—
408C4⋊Dic79—41no—
409C4⋊Dic79—41no—
410C4⋊Dic79—41no—
411C4⋊Dic79—41no—
412Dic79⋊C4—22no—
413Dic79⋊C4—22no—
414Dic79⋊C4—22no—
415Dic79⋊C4—22no—
416Dic79⋊C4—41no—
417Dic79⋊C4—41no—
418Dic79⋊C4—41no—
419Dic79⋊C4—41no—
420Dic79⋊C4—41no—
421Dic79⋊C4—41no—
422Dic79⋊C4—41no—
423Dic79⋊C4—41no—
424Dic79⋊C4—41no—
425Dic79⋊C4—41no—
426Dic79⋊C4—41no—
427Dic79⋊C4—41no—
428Dic79⋊C4—41no—
429Dic79⋊C4—41no—
430Dic79⋊C4—41no—
431Dic79⋊C4—41no—
432C22⋊Dic79—22no—
433C22⋊Dic79—22no—
434C22⋊Dic79—22no—
435C22⋊Dic79—22no—
436C22⋊Dic79—22no—
437C22⋊Dic79—22no—
438C22⋊Dic79—22no—
439C22⋊Dic79—22no—
440C22⋊Dic79—41no—
441C22⋊Dic79—41no—
442C22⋊Dic79—41no—
443C22⋊Dic79—41no—
444C22⋊Dic79—41no—
445C22⋊Dic79—41no—
446C22⋊Dic79—41no—
447C22⋊Dic79—41no—
448C22⋊Dic79—41no—
449C22⋊Dic79—41no—
450C22⋊Dic79—41no—
451C22⋊Dic79—41no—
452C22⋊Dic79—41no—
453C22⋊Dic79—41no—
454C22⋊Dic79—41no—
455C22⋊Dic79—41no—
456C22⋊Dic79—41no—
457C22⋊Dic79—41no—
458C22⋊Dic79—41no—
459C22⋊Dic79—41no—
460C22⋊Dic79—41no—
461C22⋊Dic79—41no—
462C22⋊Dic79—41no—
463C22⋊Dic79—41no—
464C22⋊Dic79—41no—
465C22⋊Dic79—41no—
466C22⋊Dic79—41no—
467C22⋊Dic79—41no—
468C22⋊Dic79—41no—
469C22⋊Dic79—41no—
470C22⋊Dic79—41no—
471C22⋊Dic79—41no—
472C4×Dic79—22no—
473C4×Dic79—22no—
474C4×Dic79—41no—
475C4×Dic79—41no—
476C4×Dic79—41no—
477C4×Dic79—41no—
478C4×Dic79—41no—
479C4×Dic79—41no—
480C24×C79—22no—
481C24×C79—22no—
482C24×C79—22no—
483C24×C79—41no—
484C24×C79—41no—
485C24×C79—41no—
486C24×C79—41no—
487C24×C79C2411yescharacteristic
488C24×C79C2411yescharacteristic
489C24×C79C2411yescharacteristic
490C24×C79C2411yescharacteristic
491C24×C79C2411yescharacteristic
492C24×C79C2411yescharacteristic
493C2×D4×C79—22no—
494C2×D4×C79—22no—
495C2×D4×C79—22no—
496C2×D4×C79—22no—
497C2×D4×C79—22no—
498C2×D4×C79—22no—
499C2×D4×C79—22no—
500C2×D4×C79—22no—
501C2×D4×C79—22no—
502C2×D4×C79—22no—
503C2×D4×C79—22no—
504C2×D4×C79—22no—
505C2×D4×C79—41no—
506C2×D4×C79—41no—
507C2×D4×C79—41no—
508C2×D4×C79—41no—
509C2×D4×C79—41no—
510C2×D4×C79—41no—
511C2×D4×C79—41no—
512C2×D4×C79—41no—
513C2×D4×C79—41no—
514C2×D4×C79—41no—
515C2×D4×C79—41no—
516C2×D4×C79—41no—
517C2×D4×C79—41no—
518C2×D4×C79—41no—
519C2×D4×C79—41no—
520C2×D4×C79—41no—
521C2×D4×C79—41no—
522C2×D4×C79—41no—
523C2×D4×C79—41no—
524C2×D4×C79—41no—
525C2×D4×C79—41no—
526C2×D4×C79—41no—
527C2×D4×C79—41no—
528C2×D4×C79—41no—
529C22×C4×C79—22no—
530C22×C4×C79—41no—
531C22×C4×C79—41no—
532C22×C4×C79C2411yescharacteristic
533C22×C4×C79C2411yescharacteristic
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2411yescharacteristic
536C22×C4×C79C2411yescharacteristic
537C22×C4×C79C2411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539C22×C4×C79C2411yescharacteristic
540C22×C4×C79C2411yescharacteristic
541C4⋊C4×C79—22no—
542C4⋊C4×C79—41no—
543C22⋊C4×C79—22no—
544C22⋊C4×C79—22no—
545C22⋊C4×C79—22no—
546C22⋊C4×C79—22no—
547C22⋊C4×C79—22no—
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#4114yes—
557C42×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—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—44no—
598C23×C79—44no—
599C23×C79—44no—
600C23×C79—44no—
601C23×C79—44no—
602C23×C79—44no—
603C23×C79—44no—
604C23×C79C2×#4112yes—
605C23×C79H(5,𝔽2)12yes—
606C23×C79H(5,𝔽2)12yes—
607C23×C79C2511yescharacteristic
608D4×C79—44no—
609D4×C79—44no—
610D4×C79—44no—
611D4×C79—82no—
612D4×C79—82no—
613D4×C79—82no—
614D4×C79—82no—
615D4×C79—82no—
616D4×C79—82no—
617D4×C79—82no—
618D4×C79—82no—
619D4×C79—82no—
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—21no—
645C2×C4×C79—82no—
646C2×C4×C79C2×#4112yes—
647C2×C4×C79C2×#4112yes—
648C2×Dic79—21no—
649C2×Dic79—21no—
650C2×Dic79—21no—
651C2×Dic79—21no—
652C2×Dic79—21no—
653C2×Dic79—21no—
654C2×Dic79—21no—
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—21no—
695C2×Dic79—44no—
696C2×Dic79—44no—
697C2×Dic79—44no—
698C2×Dic79—44no—
699C2×Dic79—44no—
700C2×Dic79—44no—
701C2×Dic79—82no—
702C2×Dic79—82no—
703C2×Dic79H(5,𝔽2)12yes—
704C22×C79—22no—
705C22×C79—22no—
706C22×C79—22no—
707C22×C79—22no—
708C22×C79—22no—
709C22×C79—22no—
710C22×C79—22no—
711C22×C79—22no—
712C22×C79—22no—
713C22×C79—416no—
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—41no—
734C22×C79—41no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79C22×#4111yescharacteristic
748C22×C79C2×H(5,𝔽2)11yescharacteristic
749C22×C79C2×H(5,𝔽2)11yescharacteristic
750C22×C79C2×H(5,𝔽2)11yescharacteristic
751C22×C79#58511yescharacteristic
752C22×C79#58511yescharacteristic
753C22×C79#58511yescharacteristic
754C4×C79—22no—
755C4×C79—22no—
756C4×C79—41no—
757C4×C79—41no—
758C4×C79—41no—
759C4×C79—41no—
760C4×C79—41no—
761C4×C79—41no—
762C4×C79—41no—
763Dic79—22no—
764Dic79—41no—
765Dic79—41no—
766Dic79—41no—
767Dic79—41no—
768Dic79—41no—
769Dic79—41no—
770Dic79—41no—
771Dic79—41no—
772Dic79—41no—
773Dic79—41no—
774Dic79—41no—
775Dic79—41no—
776Dic79—41no—
777Dic79—41no—
778Dic79—41no—
779#36841—791nomaximal, Sylow
780C2×C79—42no—
781C2×C79—42no—
782C2×C79—42no—
783C2×C79—81no—
784C2×C79—81no—
785C2×C79—81no—
786C2×C79#346011yescharacteristic
787C2×C79#351311yescharacteristic
788C2×C79#351311yescharacteristic
789C2×C79#353211yescharacteristic
790C2×C79#353311yescharacteristic
791C2×C79#353311yescharacteristic
792C2×C79#353911yescharacteristic
793#2849—791no—
794#2849—791no—
795#2790—791no—
796#2778—791no—
797#2765—791no—
798#2761—791no—
799#2753—791no—
800#2752—791no—
801#2743—791no—
802#2718—791no—
803#2709—791no—
804#2706—791no—
805#2701—791no—
806#2697—791no—
807#2691—791no—
808#2685—791no—
809#2685—791no—
810#2669D7911yescharacteristic
811#2636—791no—
812#2630—791no—
813#2576—791no—
814#2575—791no—
815#2554—791no—
816#2553—791no—
817#2468—791no—
818#2457—791no—
819#2445—791no—
820#2422—791no—
821#2334—791no—
822#2333—791no—
823C4×#120—791no—
824C79#3684111yescharacteristic, complemented, Sylow
825C24×C4—791no—
826C2×#127C2×D7911yescharacteristic
827C2×#126—791no—
828C2×#126—791no—
829C2×#126—791no—
830C2×#123—791no—
831C2×#123—791no—
832C2×#123—791no—
833C2×#123—791no—
834C2×#123—791no—
835C2×#123—791no—
836C2×#121C2×D7911yescharacteristic
837C2×#121C2×D7911yescharacteristic
838C2×#120C2×D7911yescharacteristic
839C2×#120C2×D7911yescharacteristic
840C2×#120C2×D7911yescharacteristic
841C2×C4×D4—791no—
842C2×C4×D4—791no—
843C2×C4×D4—791no—
844#401—791no—
845#400—791no—
846#400—791no—
847#400—791no—
848#400—791no—
849#399—791no—
850#399—791no—
851#399—791no—
852#398—791no—
853#398—791no—
854#398—791no—
855#398—791no—
856#398—791no—
857#397—791no—
858#397—791no—
859#397—791no—
860#397—791no—
861#397—791no—
862#397—791no—
863#396—791no—
864#396—791no—
865#396—791no—
866#396—791no—
867#396—791no—
868#396—791no—
869#396—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#394—791no—
881#394—791no—
882#394—791no—
883#394—791no—
884#394—791no—
885#394—791no—
886#394C2×D7911yescharacteristic
887#394C2×D7911yescharacteristic
888#392C2×D7911yescharacteristic
889#392C2×D7911yescharacteristic
890#392C2×D7911yescharacteristic
891#392C2×D7911yescharacteristic
892#390—791no—
893#390—791no—
894#390—791no—
895#390—791no—
896#390—791no—
897#390—791no—
898#390—791no—
899#389—791no—
900#389—791no—
901#389—791no—
902#388—791no—
903#388—791no—
904#388—791no—
905#388—791no—
906#388—791no—
907#388—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#388C2×D7911yescharacteristic
918#388C2×D7911yescharacteristic
919#387—791no—
920#387—791no—
921#387—791no—
922#387—791no—
923#387—791no—
924#387—791no—
925#387—791no—
926#387—791no—
927#387—791no—
928#386—791no—
929#386—791no—
930#386—791no—
931#386—791no—
932#386—791no—
933#386—791no—
934#386—791no—
935#386—791no—
936#386—791no—
937#386—791no—
938#386—791no—
939#386—791no—
940#386—791no—
941#386—791no—
942#386—791no—
943#386—791no—
944#386C2×D7911yescharacteristic
945#385—791no—
946#385—791no—
947#385—791no—
948#385—791no—
949#385—791no—
950#385—791no—
951#385—791no—
952#385—791no—
953#385—791no—
954#385—791no—
955#385—791no—
956#385—791no—
957#385—791no—
958#384—791no—
959#382—791no—
960#382—791no—
961#382—791no—
962#381—791no—
963#381—791no—
964#381—791no—
965#381—791no—
966#381—791no—
967#380—791no—
968#380—791no—
969#380—791no—
970#379—791no—
971#379—791no—
972#379—791no—
973C4×C4⋊C4—791no—
974C4×C4⋊C4—791no—
975C4×C22⋊C4—791no—
976C4×C22⋊C4—791no—
977C4×C22⋊C4—791no—
978C4×C22⋊C4—791no—
979C4×C22⋊C4—791no—
980C25C22×D7911yescharacteristic
981C22×D4C22×D7911yescharacteristic
982C22×D4C22×D7911yescharacteristic
983C22×D4C22×D7911yescharacteristic
984C22×D4C22×D7911yescharacteristic
985C22×D4C22×D7911yescharacteristic
986C22×D4C22×D7911yescharacteristic
987C22×D4C22×D7911yescharacteristic
988C22×D4C22×D7911yescharacteristic
989C22×D4C22×D7911yescharacteristic
990C22×D4C22×D7911yescharacteristic
991C22×D4C22×D7911yescharacteristic
992C22×D4C22×D7911yescharacteristic
993C23×C4—3162no—
994C23×C4—3162no—
995C23×C4—3162no—
996C23×C4—791no—
997C23×C4—791no—
998C23×C4—791no—
999C23×C4—791no—
1000C23×C4—791no—
1001C23×C4—791no—
1002C23×C4—791no—
1003C23×C4—791no—
1004C23×C4C22×D7911yescharacteristic
1005#127—42no—
1006#126—3162no—
1007#126—3162no—
1008#126—1584no—
1009#123—3162no—
1010#123—3162no—
1011#123—3162no—
1012#123—3162no—
1013#123—3162no—
1014#123—3162no—
1015#121—24no—
1016#121—42no—
1017#120—24no—
1018#120—42no—
1019#120—42no—
1020C4×D4—3162no—
1021C4×D4—3162no—
1022C4×D4—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⋊C4—791no—
1044C2×C4⋊C4—791no—
1045C2×C4⋊C4—791no—
1046C2×C4⋊C4—791no—
1047C2×C4⋊C4—791no—
1048C2×C4⋊C4—791no—
1049C2×C4⋊C4—791no—
1050C2×C4⋊C4—791no—
1051C2×C4⋊C4C22×D7911yescharacteristic
1052C2×C4⋊C4C22×D7911yescharacteristic
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—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⋊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×C22⋊C4C22×D7911yescharacteristic
1105C2×C22⋊C4C22×D7911yescharacteristic
1106C2×C22⋊C4C22×D7911yescharacteristic
1107C2×C42—791no—
1108C2×C42—791no—
1109C2×C42—791no—
1110C2×C42—791no—
1111C2×C42—791no—
1112C2×C42—791no—
1113C2×C42—791no—
1114C2×C42—791no—
1115C2×C42C22×D7911yescharacteristic
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#95—791no—
1151#95—791no—
1152#95C22×D7911yescharacteristic
1153#95C22×D7911yescharacteristic
1154#95C22×D7911yescharacteristic
1155#95C22×D7911yescharacteristic
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—41no—
1160C24—41no—
1161C24—41no—
1162C24—41no—
1163C24C23×D7911yescharacteristic
1164C24C23×D7911yescharacteristic
1165C24C23×D7911yescharacteristic
1166C24C23×D7911yescharacteristic
1167C24C23×D7911yescharacteristic
1168C24C23×D7911yescharacteristic
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
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—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C22×C4—22no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—31616no—
1209C22×C4—3161no—
1210C22×C4—3161no—
1211C22×C4—3161no—
1212C22×C4—3161no—
1213C22×C4—3161no—
1214C22×C4—3161no—
1215C22×C4—3161no—
1216C22×C4—3161no—
1217C22×C4—3161no—
1218C22×C4—3161no—
1219C22×C4—3161no—
1220C22×C4—3161no—
1221C22×C4—3161no—
1222C22×C4—3161no—
1223C22×C4—3161no—
1224C22×C4—3161no—
1225C22×C4—791no—
1226C22×C4—791no—
1227C22×C4—791no—
1228C22×C4—791no—
1229C22×C4—791no—
1230C22×C4—791no—
1231C22×C4—791no—
1232C22×C4—791no—
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—1582no—
1242C22×C4—1582no—
1243C22×C4—1582no—
1244C22×C4—1582no—
1245C22×C4—1582no—
1246C22×C4—1582no—
1247C22×C4—1582no—
1248C22×C4—1582no—
1249C22×C4C23×D7911yescharacteristic
1250C22×C4C23×D7911yescharacteristic
1251C22×C4C23×D7911yescharacteristic
1252C22×C4C23×D7911yescharacteristic
1253C22×C4C23×D7911yescharacteristic
1254C22×C4C23×D7911yescharacteristic
1255C22×C4C23×D7911yescharacteristic
1256C22×C4C23×D7911yescharacteristic
1257C22×C4C23×D7911yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—41no—
1260C4⋊C4—3161no—
1261C4⋊C4—3161no—
1262C4⋊C4—3161no—
1263C4⋊C4—3161no—
1264C4⋊C4—3161no—
1265C4⋊C4—3161no—
1266C4⋊C4—3161no—
1267C4⋊C4—3161no—
1268C4⋊C4—3161no—
1269C4⋊C4—3161no—
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—1582no—
1284C4⋊C4—1582no—
1285C4⋊C4—1582no—
1286C4⋊C4—1582no—
1287C4⋊C4—1582no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
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—3161no—
1302C22⋊C4—3161no—
1303C22⋊C4—3161no—
1304C22⋊C4—3161no—
1305C22⋊C4—3161no—
1306C22⋊C4—3161no—
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#1192962314yes—
1342C42—41no—
1343C42—3161no—
1344C42—3161no—
1345C42—3161no—
1346C42—3161no—
1347C42—3161no—
1348C42—3161no—
1349C42—1582no—
1350C42—1582no—
1351C23—21no—
1352C23—21no—
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—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—44no—
1391C23—44no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23C2×#1192962312yes—
1398C23#1457920612yes—
1399C23#1457920612yes—
1400C23C24×D7911yescharacteristic
1401D4—44no—
1402D4—44no—
1403D4—44no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
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—82no—
1439C2×C4—3164no—
1440C2×C4—3164no—
1441C2×C4—3164no—
1442C2×C4—3164no—
1443C2×C4—3164no—
1444C2×C4—3164no—
1445C2×C4—792no—
1446C2×C4—6322no—
1447C2×C4—6322no—
1448C2×C4—1581no—
1449C2×C4—1581no—
1450C2×C4—1581no—
1451C2×C4—1581no—
1452C2×C4—1581no—
1453C2×C4—1581no—
1454C2×C4—1581no—
1455C2×C4—1581no—
1456C2×C4—1581no—
1457C2×C4—1581no—
1458C2×C4—1581no—
1459C2×C4—1581no—
1460C2×C4—1581no—
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×C4C2×#1192962312yes—
1496C2×C4C2×#1192962312yes—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—416no—
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—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22C22×#1192962311yescharacteristic
1541C22H(5,𝔽2)×D7911yescharacteristic
1542C22C2×#1457920611yescharacteristic
1543C22C2×#1457920611yescharacteristic
1544C22#1909939811yescharacteristic
1545C22#1909939811yescharacteristic
1546C22#1909939811yescharacteristic
1547C4—22no—
1548C4—22no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—3161no—
1557C4—3161no—
1558C4—3161no—
1559C4—3161no—
1560C4—3161no—
1561C4—3161no—
1562C4—3161no—
1563C4—3161no—
1564C4—3161no—
1565C4—3161no—
1566C4—3161no—
1567C4—3161no—
1568C4—3161no—
1569C4—3161no—
1570C4—3161no—
1571C4—1582no—
1572C2—42no—
1573C2—42no—
1574C2—42no—
1575C2—81no—
1576C2—81no—
1577C2—81no—
1578C2#2377681311yescharacteristic
1579C2#2377732511yescharacteristic
1580C2#2377732511yescharacteristic
1581C2#2377755011yescharacteristic
1582C2#2377756111yescharacteristic
1583C2#2377757311yescharacteristic
1584C2#2377765411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
Fitting, prime radicalC79×#2669C2
hypercenter#2669D79
hypocenterC79#36841
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. #23771690C2semidirect
2. #23771690C2semidirect
3. #23771165C2semidirect
4. #23771011C2semidirect
5. #23770829C2semidirect
6. #23770789C2semidirect
7. #23770679C2semidirect
8. #23770668C2semidirect
9. #23770543C2semidirect
10. #23770252C2semidirect
11. #23770127C2semidirect
12. #23770095C2semidirect
13. #23770009C2semidirect
14. #23769961C2semidirect
15. #23769877C2semidirect
16. #23769787C2semidirect
17. #23769787C2semidirect
18. #23769294C2semidirect
19. #23769236C2semidirect
20. #23768701C2semidirect
21. #23768694C2semidirect
22. #23768461C2semidirect
23. #23768438C2semidirect
24. #23767461C2semidirect
25. #23767300C2semidirect
26. #23767161C2semidirect
27. #23766910C2semidirect
28. #23766173C2semidirect
29. #23766167C2semidirect
30. #120×Dic79C2semidirect
35. C2×#14579154C22semidirect
41. C2×#14579142C22semidirect
45. C79⋊#401C22semidirect
46. #19098505C22semidirect
47. #19098505C22semidirect
48. #19098504C22semidirect
49. #19098503C22semidirect
52. #19098499C22semidirect
53. #19098497C22semidirect
54. #19098497C22semidirect
55. #19098496C22semidirect
56. #19098496C22semidirect
57. #19098495C22semidirect
60. #19098491C22semidirect
61. #19098491C22semidirect
62. #19098488C22semidirect
63. #19098488C22semidirect
68. #19098486C22semidirect
69. #19098486C22semidirect
70. #19098486C22semidirect
81. #19098477C22semidirect
82. #19098477C22semidirect
83. #19098477C22semidirect
84. #19098477C22semidirect
85. #19098477C22semidirect
86. #19098477C22semidirect
92. #19098466C22semidirect
93. #19098466C22semidirect
94. #19098461C22semidirect
95. #19098459C22semidirect
96. #19098458C22semidirect
101. #19098457C22semidirect
102. #19098457C22semidirect
105. #19098456C22semidirect
106. #19098456C22semidirect
107. #19098456C22semidirect
110. #19098451C22semidirect
111. #19098451C22semidirect
112. #19098449C22semidirect
113. #19098449C22semidirect
114. #19098447C22semidirect
115. #19098447C22semidirect
116. #19098446C22semidirect
117. #19098446C22semidirect
118. #19098445C22semidirect
119. #19098445C22semidirect
120. #19098444C22semidirect
134. #19098443C22semidirect
135. #19098443C22semidirect
136. #19098443C22semidirect
140. #19098436C22semidirect
149. #19098435C22semidirect
150. #19098432C22semidirect
151. #19098427C22semidirect
152. #19098427C22semidirect
153. #19098427C22semidirect
154. #19098426C22semidirect
159. #19098423C22semidirect
160. #19098421C22semidirect
161. #19098421C22semidirect
165. C4×Dic79⋊C4C22semidirect
166. #19098414C22semidirect
170. C22⋊C4×Dic79C22semidirect
171. C4×C22⋊Dic79C22semidirect
824. C79#36841semidirect

Maximal subgroups

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

subgroupindex
#237716902
#237711652
#237710112
#237708292
#237707892
#237706792
#237706682
#237705432
#237702522
#237701272
#237700952
#237700092
#237699612
#237698772
#237697872
#237692942
#237692362
#237687012
#237686942
#237684612
#237684382
#237674612
#237673002
#237671612
#237669102
#237661732
#237661672
#120×Dic792
C79×#26692
#3684179