Finite Group Databasebeta

← #34498415

Subgroups — #34498415

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#23771692C211yesmaximal, characteristic, complemented
2#23771692C211yesmaximal, characteristic, complemented
3#23771173C211yesmaximal, characteristic, complemented
4#23771021C211yesmaximal, characteristic, complemented
5#23770839C211yesmaximal, characteristic, complemented
6#23770787C211yesmaximal, characteristic, complemented
7#23770680C211yesmaximal, characteristic, complemented
8#23770667C211yesmaximal, characteristic, complemented
9#23770534C211yesmaximal, characteristic, complemented
10#23770254C211yesmaximal, characteristic, complemented
11#23770131C211yesmaximal, characteristic, complemented
12#23770089C211yesmaximal, characteristic, complemented
13#23770016C211yesmaximal, characteristic, complemented
14#23769963C211yesmaximal, characteristic, complemented
15#23769879C211yesmaximal, characteristic, complemented
16#23769791C211yesmaximal, characteristic, complemented
17#23769787C211yesmaximal, characteristic, complemented
18#23769614C211yesmaximal, characteristic
19#23769295C211yesmaximal, characteristic, complemented
20#23769237C211yesmaximal, characteristic, complemented
21#23768704C211yesmaximal, characteristic, complemented
22#23768689C211yesmaximal, characteristic, complemented
23#23768460C211yesmaximal, characteristic, complemented
24#23768445C211yesmaximal, characteristic, complemented
25#23767460C211yesmaximal, characteristic, complemented
26#23767301C211yesmaximal, characteristic, complemented
27#23767159C211yesmaximal, characteristic, complemented
28#23766908C211yesmaximal, characteristic, complemented
29#23766177C211yesmaximal, characteristic, complemented
30#23766160C211yesmaximal, characteristic, complemented
31C4×#120×C79C211yesmaximal, characteristic, complemented
32C2×#14579157C2211yescharacteristic
33C2×#14579155C2211yescharacteristic, complemented
34C2×#14579154C2211yescharacteristic
35C2×#14579154C2211yescharacteristic
36C2×#14579144C2211yescharacteristic
37C2×#14579144C2211yescharacteristic
38C2×#14579144C2211yescharacteristic
39C2×#14579144C2211yescharacteristic
40C2×#14579144C2211yescharacteristic, complemented
41C2×#14579143C2211yescharacteristic
42C2×#14579134C2211yescharacteristic
43C2×#14579132C2211yescharacteristic
44C2×#14579130C2211yescharacteristic
45C2×#14579130C2211yescharacteristic
46C79⋊#401C2211yescharacteristic, complemented
47#19098504C2211yescharacteristic, complemented
48#19098504C2211yescharacteristic, complemented
49#19098502C2211yescharacteristic, complemented
50#19098501C2211yescharacteristic, complemented
51#19098499C2211yescharacteristic
52#19098499C2211yescharacteristic
53#19098498C2211yescharacteristic, complemented
54#19098497C2211yescharacteristic, complemented
55#19098497C2211yescharacteristic, complemented
56#19098496C2211yescharacteristic, complemented
57#19098496C2211yescharacteristic, complemented
58#19098493C2211yescharacteristic, complemented
59#19098492C2211yescharacteristic, complemented
60#19098491C2211yescharacteristic
61#19098491C2211yescharacteristic, complemented
62#19098491C2211yescharacteristic, complemented
63#19098490C2211yescharacteristic, complemented
64#19098488C2211yescharacteristic
65#19098486C2211yescharacteristic
66#19098486C2211yescharacteristic
67#19098486C2211yescharacteristic
68#19098486C2211yescharacteristic
69#19098486C2211yescharacteristic, complemented
70#19098485C2211yescharacteristic, complemented
71#19098485C2211yescharacteristic, complemented
72#19098481C2211yescharacteristic, complemented
73#19098479C2211yescharacteristic
74#19098479C2211yescharacteristic
75#19098479C2211yescharacteristic
76#19098479C2211yescharacteristic
77#19098479C2211yescharacteristic, complemented
78#19098478C2211yescharacteristic
79#19098478C2211yescharacteristic
80#19098478C2211yescharacteristic
81#19098478C2211yescharacteristic, complemented
82#19098478C2211yescharacteristic, complemented
83#19098478C2211yescharacteristic, complemented
84#19098478C2211yescharacteristic, complemented
85#19098477C2211yescharacteristic
86#19098477C2211yescharacteristic
87#19098477C2211yescharacteristic
88#19098477C2211yescharacteristic
89#19098477C2211yescharacteristic
90#19098472C2211yescharacteristic
91#19098471C2211yescharacteristic
92#19098471C2211yescharacteristic
93#19098471C2211yescharacteristic
94#19098466C2211yescharacteristic
95#19098466C2211yescharacteristic
96#19098465C2211yescharacteristic, complemented
97#19098464C2211yescharacteristic, complemented
98#19098463C2211yescharacteristic
99#19098463C2211yescharacteristic
100#19098463C2211yescharacteristic
101#19098461C2211yescharacteristic, complemented
102#19098460C2211yescharacteristic, complemented
103#19098459C2211yescharacteristic, complemented
104#19098457C2211yescharacteristic
105#19098457C2211yescharacteristic
106#19098457C2211yescharacteristic
107#19098457C2211yescharacteristic, complemented
108#19098457C2211yescharacteristic, complemented
109#19098456C2211yescharacteristic
110#19098456C2211yescharacteristic
111#19098456C2211yescharacteristic
112#19098456C2211yescharacteristic
113#19098454C2211yescharacteristic, complemented
114#19098452C2211yescharacteristic, complemented
115#19098452C2211yescharacteristic, complemented
116#19098452C2211yescharacteristic, complemented
117#19098451C2211yescharacteristic
118#19098451C2211yescharacteristic
119#19098451C2211yescharacteristic
120#19098451C2211yescharacteristic, complemented
121#19098450C2211yescharacteristic, complemented
122#19098450C2211yescharacteristic, complemented
123#19098448C2211yescharacteristic, complemented
124#19098448C2211yescharacteristic, complemented
125#19098447C2211yescharacteristic, complemented
126#19098447C2211yescharacteristic, complemented
127#19098447C2211yescharacteristic, complemented
128#19098446C2211yescharacteristic, complemented
129#19098445C2211yescharacteristic, complemented
130#19098442C2211yescharacteristic
131#19098442C2211yescharacteristic
132#19098442C2211yescharacteristic
133#19098442C2211yescharacteristic
134#19098442C2211yescharacteristic
135#19098442C2211yescharacteristic
136#19098442C2211yescharacteristic
137#19098442C2211yescharacteristic
138#19098442C2211yescharacteristic, complemented
139#19098441C2211yescharacteristic, complemented
140#19098439C2211yescharacteristic
141#19098439C2211yescharacteristic
142#19098439C2211yescharacteristic
143#19098439C2211yescharacteristic, complemented
144#19098437C2211yescharacteristic, complemented
145#19098436C2211yescharacteristic
146#19098436C2211yescharacteristic
147#19098436C2211yescharacteristic
148#19098436C2211yescharacteristic
149#19098436C2211yescharacteristic
150#19098436C2211yescharacteristic
151#19098436C2211yescharacteristic
152#19098436C2211yescharacteristic
153#19098436C2211yescharacteristic, complemented
154#19098432C2211yescharacteristic, complemented
155#19098429C2211yescharacteristic, complemented
156#19098427C2211yescharacteristic, complemented
157#19098427C2211yescharacteristic, complemented
158#19098426C2211yescharacteristic
159#19098426C2211yescharacteristic
160#19098426C2211yescharacteristic
161#19098426C2211yescharacteristic
162#19098425C2211yescharacteristic, complemented
163#19098423C2211yescharacteristic, complemented
164#19098422C2211yescharacteristic, complemented
165#19098420C2211yescharacteristic, complemented
166#19098419C2211yescharacteristic
167#19098419C2211yescharacteristic
168C4×Dic79⋊C4C2211yescharacteristic, complemented
169C4×Dic79⋊C4C2211yescharacteristic, complemented
170C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
171C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
172C24×C4×C79C2211yescharacteristic
173C2×#120×C79C2211yescharacteristic
174C2×C4×D4×C79C2211yescharacteristic
175C2×C4×D4×C79C2211yescharacteristic
176C2×C4×D4×C79C2211yescharacteristic
177#386×C79C2211yescharacteristic
178#386×C79C2211yescharacteristic
179#386×C79C2211yescharacteristic
180#385×C79C2211yescharacteristic
181#385×C79C2211yescharacteristic
182#385×C79C2211yescharacteristic
183#379×C79C2211yescharacteristic
184C4×C22⋊C4×C79C2211yescharacteristic
185C4×C22⋊C4×C79C2211yescharacteristic
186C4×C22⋊C4×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×C4×D79C2311yescharacteristic
197C22×C4×D79C2311yescharacteristic
198#14579157—42no—
199#14579155—42no—
200#14579154—24no—
201#14579154—42no—
202#14579144—42no—
203#14579144—42no—
204#14579144—42no—
205#14579144—42no—
206#14579144—42no—
207#14579143—42no—
208#14579134—24no—
209#14579132—42no—
210#14579130—42no—
211#14579130—42no—
212C2×C4⋊Dic79C2311yescharacteristic
213C2×C4⋊Dic79C2311yescharacteristic
214C2×C4⋊Dic79C2311yescharacteristic
215C2×C4⋊Dic79C2311yescharacteristic
216C2×C4⋊Dic79C2311yescharacteristic
217C2×C4⋊Dic79C2311yescharacteristic
218C2×C4⋊Dic79C2311yescharacteristic
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×Dic79⋊C4C2311yescharacteristic
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×(C2×D79)⋊C4C2311yescharacteristic
264C2×(C2×D79)⋊C4C2311yescharacteristic
265C2×(C2×D79)⋊C4C2311yescharacteristic
266C2×(C2×D79)⋊C4C2311yescharacteristic
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×C4×Dic79C2311yescharacteristic
282C2×C4×Dic79C2311yescharacteristic
283C2×C4×Dic79C2311yescharacteristic
284C2×C4×Dic79C2311yescharacteristic
285C2×C4×Dic79C2311yescharacteristic
286C2×C4×Dic79C2311yescharacteristic
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
321C25×C79C2311yescharacteristic
322C22×D4×C79C2311yescharacteristic
323C22×D4×C79C2311yescharacteristic
324C22×D4×C79C2311yescharacteristic
325C23×C4×C79—42no—
326C23×C4×C79—42no—
327C23×C4×C79—42no—
328C23×C4×C79C2311yescharacteristic
329C23×C4×C79C2311yescharacteristic
330C23×C4×C79C2311yescharacteristic
331C23×C4×C79C2311yescharacteristic
332C23×C4×C79C2311yescharacteristic
333C23×C4×C79C2311yescharacteristic
334C23×C4×C79C2311yescharacteristic
335#120×C79—24no—
336C4×D4×C79—42no—
337C4×D4×C79—42no—
338C4×D4×C79—42no—
339C2×C4⋊C4×C79C2311yescharacteristic
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C22⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C42×C79C2311yescharacteristic
355C2×C42×C79C2311yescharacteristic
356C2×C42×C79C2311yescharacteristic
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363C23×D79C2411yescharacteristic
364C23×D79C2411yescharacteristic
365C2×D316—22no—
366C2×D316—41no—
367C2×D316—41no—
368C2×C22⋊D79—22no—
369C2×C22⋊D79—22no—
370C2×C22⋊D79—22no—
371C2×C22⋊D79—22no—
372C2×C22⋊D79—22no—
373C2×C22⋊D79—22no—
374C2×C22⋊D79—41no—
375C2×C22⋊D79—41no—
376C2×C22⋊D79—41no—
377C2×C22⋊D79—41no—
378C2×C22⋊D79—41no—
379C2×C22⋊D79—41no—
380C2×C22⋊D79—41no—
381C2×C22⋊D79—41no—
382C2×C22⋊D79—41no—
383C2×C22⋊D79—41no—
384C2×C22⋊D79—41no—
385C2×C22⋊D79—41no—
386C2×C22⋊D79—41no—
387C2×C22⋊D79—41no—
388C2×C22⋊D79—41no—
389C2×C22⋊D79—41no—
390C2×C22⋊D79—41no—
391C2×C22⋊D79—41no—
392C22×Dic79C2411yescharacteristic
393C22×Dic79C2411yescharacteristic
394C22×Dic79C2411yescharacteristic
395C22×Dic79C2411yescharacteristic
396C22×Dic79C2411yescharacteristic
397C22×Dic79C2411yescharacteristic
398C22×Dic79C2411yescharacteristic
399C22×Dic79C2411yescharacteristic
400C22×Dic79C2411yescharacteristic
401C22×Dic79C2411yescharacteristic
402C22×Dic79C2411yescharacteristic
403C22×Dic79C2411yescharacteristic
404C22×Dic79C2411yescharacteristic
405C22×Dic79C2411yescharacteristic
406C2×C4×D79—22no—
407C2×C4×D79—41no—
408C2×C4×D79—41no—
409C2×C4×D79—41no—
410C2×C4×D79—41no—
411C2×C4×D79—41no—
412C4⋊Dic79—22no—
413C4⋊Dic79—41no—
414C4⋊Dic79—41no—
415C4⋊Dic79—41no—
416C4⋊Dic79—41no—
417C4⋊Dic79—41no—
418C4⋊Dic79—41no—
419Dic79⋊C4—22no—
420Dic79⋊C4—22no—
421Dic79⋊C4—22no—
422Dic79⋊C4—22no—
423Dic79⋊C4—22no—
424Dic79⋊C4—41no—
425Dic79⋊C4—41no—
426Dic79⋊C4—41no—
427Dic79⋊C4—41no—
428Dic79⋊C4—41no—
429Dic79⋊C4—41no—
430Dic79⋊C4—41no—
431Dic79⋊C4—41no—
432Dic79⋊C4—41no—
433Dic79⋊C4—41no—
434Dic79⋊C4—41no—
435Dic79⋊C4—41no—
436Dic79⋊C4—41no—
437Dic79⋊C4—41no—
438Dic79⋊C4—41no—
439C22⋊Dic79—22no—
440C22⋊Dic79—22no—
441C22⋊Dic79—22no—
442C22⋊Dic79—22no—
443C22⋊Dic79—22no—
444C22⋊Dic79—22no—
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—
463(C2×D79)⋊C4—22no—
464(C2×D79)⋊C4—22no—
465(C2×D79)⋊C4—22no—
466(C2×D79)⋊C4—41no—
467(C2×D79)⋊C4—41no—
468(C2×D79)⋊C4—41no—
469(C2×D79)⋊C4—41no—
470(C2×D79)⋊C4—41no—
471(C2×D79)⋊C4—41no—
472(C2×D79)⋊C4—41no—
473(C2×D79)⋊C4—41no—
474(C2×D79)⋊C4—41no—
475(C2×D79)⋊C4—41no—
476(C2×D79)⋊C4—41no—
477(C2×D79)⋊C4—41no—
478(C2×D79)⋊C4—41no—
479(C2×D79)⋊C4—41no—
480(C2×D79)⋊C4—41no—
481C4×Dic79—22no—
482C4×Dic79—41no—
483C4×Dic79—41no—
484C4×Dic79—41no—
485C4×Dic79—41no—
486C4×Dic79—41no—
487C24×C79—22no—
488C24×C79—22no—
489C24×C79—22no—
490C24×C79—41no—
491C24×C79—41no—
492C24×C79—41no—
493C24×C79—41no—
494C24×C79C2411yescharacteristic
495C24×C79C2411yescharacteristic
496C24×C79C2411yescharacteristic
497C24×C79C2411yescharacteristic
498C2×D4×C79—22no—
499C2×D4×C79—22no—
500C2×D4×C79—22no—
501C2×D4×C79—22no—
502C2×D4×C79—22no—
503C2×D4×C79—41no—
504C2×D4×C79—41no—
505C2×D4×C79—41no—
506C2×D4×C79—41no—
507C22×C4×C79—22no—
508C22×C4×C79—22no—
509C22×C4×C79—22no—
510C22×C4×C79—22no—
511C22×C4×C79—22no—
512C22×C4×C79—22no—
513C22×C4×C79—22no—
514C22×C4×C79—22no—
515C22×C4×C79—41no—
516C22×C4×C79—41no—
517C22×C4×C79—41no—
518C22×C4×C79—41no—
519C22×C4×C79—41no—
520C22×C4×C79—41no—
521C22×C4×C79—41no—
522C22×C4×C79—41no—
523C22×C4×C79—41no—
524C22×C4×C79—41no—
525C22×C4×C79—41no—
526C22×C4×C79—41no—
527C22×C4×C79—41no—
528C22×C4×C79—416no—
529C22×C4×C79C2411yescharacteristic
530C22×C4×C79C2411yescharacteristic
531C22×C4×C79C2411yescharacteristic
532C22×C4×C79C2411yescharacteristic
533C22×C4×C79C2411yescharacteristic
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2411yescharacteristic
536C22×C4×C79C2411yescharacteristic
537C22×C4×C79C2411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539C22×C4×C79C2411yescharacteristic
540C4⋊C4×C79—41no—
541C4⋊C4×C79—41no—
542C4⋊C4×C79—41no—
543C22⋊C4×C79—22no—
544C22⋊C4×C79—22no—
545C22⋊C4×C79—22no—
546C22⋊C4×C79—22no—
547C22⋊C4×C79—41no—
548C22⋊C4×C79—41no—
549C22⋊C4×C79—41no—
550C22⋊C4×C79—41no—
551C22⋊C4×C79—41no—
552C22⋊C4×C79—41no—
553C22⋊C4×C79—41no—
554C22⋊C4×C79#4114yes—
555C42×C79—22no—
556C42×C79—41no—
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—44no—
584C23×C79—44no—
585C23×C79—44no—
586C23×C79—44no—
587C23×C79—44no—
588C23×C79—44no—
589C23×C79—44no—
590C23×C79C2×#4112yes—
591C23×C79H(5,𝔽2)12yes—
592C23×C79H(5,𝔽2)12yes—
593C23×C79C2511yescharacteristic
594C22×D79—21no—
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608D4×C79—44no—
609D4×C79—44no—
610D4×C79—44no—
611C2×C4×C79—21no—
612C2×C4×C79—21no—
613C2×C4×C79—21no—
614C2×C4×C79—21no—
615C2×C4×C79—21no—
616C2×C4×C79—21no—
617C2×C4×C79—21no—
618C2×C4×C79—21no—
619C2×C4×C79—21no—
620C2×C4×C79—21no—
621C2×C4×C79—21no—
622C2×C4×C79—21no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—44no—
642C2×C4×C79—44no—
643C2×C4×C79—44no—
644C2×C4×C79—44no—
645C2×C4×C79—44no—
646C2×C4×C79—44no—
647C2×C4×C79—82no—
648C2×C4×C79C2×#4112yes—
649C2×C4×C79C2×#4112yes—
650C2×C4×C79H(5,𝔽2)12yes—
651C22⋊D79—82no—
652C22⋊D79—82no—
653C22⋊D79—82no—
654C22⋊D79—82no—
655C22⋊D79—82no—
656C22⋊D79—82no—
657C22⋊D79—82no—
658C22⋊D79—82no—
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—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701D316—82no—
702C4×D79—82no—
703C4×D79—82no—
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×C79C22×#4111yescharacteristic
734C22×C79C2×H(5,𝔽2)11yescharacteristic
735C22×C79C2×H(5,𝔽2)11yescharacteristic
736C22×C79C2×H(5,𝔽2)11yescharacteristic
737C22×C79#58511yescharacteristic
738C22×C79#58511yescharacteristic
739C22×C79#58511yescharacteristic
740C2×D79—41no—
741C2×D79—41no—
742C2×D79—41no—
743C2×D79—41no—
744C2×D79—41no—
745C2×D79—41no—
746C2×D79—41no—
747C2×D79—41no—
748C2×D79—41no—
749C2×D79—41no—
750C2×D79—41no—
751C2×D79—41no—
752C2×D79—41no—
753C2×D79—41no—
754C4×C79—22no—
755C4×C79—22no—
756C4×C79—22no—
757C4×C79—41no—
758C4×C79—41no—
759C4×C79—41no—
760C4×C79—41no—
761C4×C79—41no—
762C4×C79—41no—
763C4×C79—41no—
764C4×C79—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#346011yescharacteristic
785C2×C79#351311yescharacteristic
786C2×C79#351311yescharacteristic
787C2×C79#353211yescharacteristic
788C2×C79#353311yescharacteristic
789C2×C79#353311yescharacteristic
790C2×C79#353911yescharacteristic
791D79—81no—
792D79—81no—
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#2669—791no—
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×#120D7911yescharacteristic, complemented
824C79#3684111yescharacteristic, complemented, Sylow
825C24×C4C2×D7911yescharacteristic
826C2×#127—791no—
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×#121—791no—
837C2×#121—791no—
838C2×#120—791no—
839C2×#120—791no—
840C2×#120C2×D7911yescharacteristic
841C2×C4×D4C2×D7911yescharacteristic
842C2×C4×D4C2×D7911yescharacteristic
843C2×C4×D4C2×D7911yescharacteristic
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#394—791no—
887#394—791no—
888#392—791no—
889#392—791no—
890#392—791no—
891#392—791no—
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#388—791no—
918#388—791no—
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#386C2×D7911yescharacteristic
943#386C2×D7911yescharacteristic
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#385C2×D7911yescharacteristic
956#385C2×D7911yescharacteristic
957#385C2×D7911yescharacteristic
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#379C2×D7911yescharacteristic
973C4×C4⋊C4—791no—
974C4×C4⋊C4—791no—
975C4×C22⋊C4—791no—
976C4×C22⋊C4—791no—
977C4×C22⋊C4C2×D7911yescharacteristic
978C4×C22⋊C4C2×D7911yescharacteristic
979C4×C22⋊C4C2×D7911yescharacteristic
980C25C22×D7911yescharacteristic
981C22×D4—791no—
982C22×D4—791no—
983C22×D4—791no—
984C22×D4—791no—
985C22×D4—791no—
986C22×D4—791no—
987C22×D4—791no—
988C22×D4—791no—
989C22×D4—791no—
990C22×D4C22×D7911yescharacteristic
991C22×D4C22×D7911yescharacteristic
992C22×D4C22×D7911yescharacteristic
993C23×C4—42no—
994C23×C4—42no—
995C23×C4—42no—
996C23×C4—791no—
997C23×C4—791no—
998C23×C4C22×D7911yescharacteristic
999C23×C4C22×D7911yescharacteristic
1000C23×C4C22×D7911yescharacteristic
1001C23×C4C22×D7911yescharacteristic
1002C23×C4C22×D7911yescharacteristic
1003C23×C4C22×D7911yescharacteristic
1004C23×C4C22×D7911yescharacteristic
1005#127—3162no—
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—3162no—
1016#121—1584no—
1017#120—24no—
1018#120—3162no—
1019#120—3162no—
1020C4×D4—42no—
1021C4×D4—42no—
1022C4×D4—42no—
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⋊C4C22×D7911yescharacteristic
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⋊C4—791no—
1094C2×C22⋊C4—791no—
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×C42C22×D7911yescharacteristic
1114C2×C42C22×D7911yescharacteristic
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#95C22×D7911yescharacteristic
1151#95C22×D7911yescharacteristic
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—
1163C24—791no—
1164C24—791no—
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—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—3161no—
1179C2×D4—3161no—
1180C2×D4—3161no—
1181C2×D4—3161no—
1182C2×D4—3161no—
1183C2×D4—3161no—
1184C2×D4—3161no—
1185C2×D4—3161no—
1186C2×D4—3161no—
1187C2×D4—3161no—
1188C2×D4—3161no—
1189C2×D4—3161no—
1190C2×D4—3161no—
1191C2×D4—3161no—
1192C2×D4—3161no—
1193C2×D4—3161no—
1194C2×D4—3161no—
1195C2×D4—3161no—
1196C2×D4—3161no—
1197C2×D4—3161no—
1198C2×D4—1582no—
1199C2×D4—1582no—
1200C2×D4—1582no—
1201C2×D4—1582no—
1202C2×D4—1582no—
1203C2×D4—1582no—
1204C2×D4—1582no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—416no—
1227C22×C4—3161no—
1228C22×C4—3161no—
1229C22×C4—3161no—
1230C22×C4—3161no—
1231C22×C4—3161no—
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—791no—
1242C22×C4—791no—
1243C22×C4—791no—
1244C22×C4—791no—
1245C22×C4—791no—
1246C22×C4—1582no—
1247C22×C4C23×D7911yescharacteristic
1248C22×C4C23×D7911yescharacteristic
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—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
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—1582no—
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—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—3161no—
1300C22⋊C4—3161no—
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—1582no—
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#1192962414yes—
1342C42—22no—
1343C42—41no—
1344C42—41no—
1345C42—3161no—
1346C42—3161no—
1347C42—3161no—
1348C42—3161no—
1349C42—3161no—
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—44no—
1377C23—44no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—44no—
1382C23—44no—
1383C23—1581no—
1384C23—1581no—
1385C23—1581no—
1386C23—1581no—
1387C23—1581no—
1388C23—1581no—
1389C23—1581no—
1390C23—1581no—
1391C23—1581no—
1392C23—1581no—
1393C23—1581no—
1394C23—1581no—
1395C23—1581no—
1396C23—1581no—
1397C23C2×#1192962412yes—
1398C23#1457920612yes—
1399C23#1457920612yes—
1400C23C24×D7911yescharacteristic
1401D4—44no—
1402D4—44no—
1403D4—44no—
1404D4—6322no—
1405D4—6322no—
1406D4—6322no—
1407D4—6322no—
1408D4—6322no—
1409D4—6322no—
1410D4—6322no—
1411D4—6322no—
1412D4—6322no—
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—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—82no—
1450C2×C4—6322no—
1451C2×C4—6322no—
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×C4C2×#1192962412yes—
1495C2×C4C2×#1192962412yes—
1496C2×C4#1457920612yes—
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—3161no—
1527C22—3161no—
1528C22—3161no—
1529C22—3161no—
1530C22—3161no—
1531C22—3161no—
1532C22—3161no—
1533C22—3161no—
1534C22—3161no—
1535C22—3161no—
1536C22—3161no—
1537C22—3161no—
1538C22—3161no—
1539C22—3161no—
1540C22C22×#1192962411yescharacteristic
1541C22C2×#1457920611yescharacteristic
1542C22C2×#1457920611yescharacteristic
1543C22C2×#1457920611yescharacteristic
1544C22#1909939911yescharacteristic
1545C22#1909939911yescharacteristic
1546C22#1909939911yescharacteristic
1547C4—22no—
1548C4—22no—
1549C4—22no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
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—3161no—
1572C2—42no—
1573C2—42no—
1574C2—42no—
1575C2—81no—
1576C2—6321no—
1577C2—6321no—
1578C2#2377682211yescharacteristic
1579C2#2377734011yescharacteristic
1580C2#2377734011yescharacteristic
1581C2#2377755511yescharacteristic
1582C2#2377756411yescharacteristic
1583C2#2377756411yescharacteristic
1584C2#2377766011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC4×#120×C79C2
prime radical#23769614C2
hypercenterC4×#120D79
hypocenterC79#36841
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. #23771692C2semidirect
2. #23771692C2semidirect
3. #23771173C2semidirect
4. #23771021C2semidirect
5. #23770839C2semidirect
6. #23770787C2semidirect
7. #23770680C2semidirect
8. #23770667C2semidirect
9. #23770534C2semidirect
10. #23770254C2semidirect
11. #23770131C2semidirect
12. #23770089C2semidirect
13. #23770016C2semidirect
14. #23769963C2semidirect
15. #23769879C2semidirect
16. #23769791C2semidirect
17. #23769787C2semidirect
19. #23769295C2semidirect
20. #23769237C2semidirect
21. #23768704C2semidirect
22. #23768689C2semidirect
23. #23768460C2semidirect
24. #23768445C2semidirect
25. #23767460C2semidirect
26. #23767301C2semidirect
27. #23767159C2semidirect
28. #23766908C2semidirect
29. #23766177C2semidirect
30. #23766160C2semidirect
31. C4×#120×C79C2semidirect
33. C2×#14579155C22semidirect
40. C2×#14579144C22semidirect
46. C79⋊#401C22semidirect
47. #19098504C22semidirect
48. #19098504C22semidirect
49. #19098502C22semidirect
50. #19098501C22semidirect
53. #19098498C22semidirect
54. #19098497C22semidirect
55. #19098497C22semidirect
56. #19098496C22semidirect
57. #19098496C22semidirect
58. #19098493C22semidirect
59. #19098492C22semidirect
61. #19098491C22semidirect
62. #19098491C22semidirect
63. #19098490C22semidirect
69. #19098486C22semidirect
70. #19098485C22semidirect
71. #19098485C22semidirect
72. #19098481C22semidirect
77. #19098479C22semidirect
81. #19098478C22semidirect
82. #19098478C22semidirect
83. #19098478C22semidirect
84. #19098478C22semidirect
96. #19098465C22semidirect
97. #19098464C22semidirect
101. #19098461C22semidirect
102. #19098460C22semidirect
103. #19098459C22semidirect
107. #19098457C22semidirect
108. #19098457C22semidirect
113. #19098454C22semidirect
114. #19098452C22semidirect
115. #19098452C22semidirect
116. #19098452C22semidirect
120. #19098451C22semidirect
121. #19098450C22semidirect
122. #19098450C22semidirect
123. #19098448C22semidirect
124. #19098448C22semidirect
125. #19098447C22semidirect
126. #19098447C22semidirect
127. #19098447C22semidirect
128. #19098446C22semidirect
129. #19098445C22semidirect
138. #19098442C22semidirect
139. #19098441C22semidirect
143. #19098439C22semidirect
144. #19098437C22semidirect
153. #19098436C22semidirect
154. #19098432C22semidirect
155. #19098429C22semidirect
156. #19098427C22semidirect
157. #19098427C22semidirect
162. #19098425C22semidirect
163. #19098423C22semidirect
164. #19098422C22semidirect
165. #19098420C22semidirect
168. C4×Dic79⋊C4C22semidirect
169. C4×Dic79⋊C4C22semidirect
170. C4×(C2×D79)⋊C4C22semidirect
171. C4×(C2×D79)⋊C4C22semidirect
823. C4×#120D79semidirect
824. C79#36841semidirect

Maximal subgroups

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

subgroupindex
#237716922
#237711732
#237710212
#237708392
#237707872
#237706802
#237706672
#237705342
#237702542
#237701312
#237700892
#237700162
#237699632
#237698792
#237697912
#237697872
#237696142
#237692952
#237692372
#237687042
#237686892
#237684602
#237684452
#237674602
#237673012
#237671592
#237669082
#237661772
#237661602
C4×#120×C792
#3684179