Finite Group Databasebeta

← #34495539

Subgroups — #34495539

Order 20224.

1954 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#23771689C211yesmaximal, characteristic, complemented
2#23771681C211yesmaximal, characteristic, complemented
3#23770588C211yesmaximal, characteristic, complemented
4#23770581C211yesmaximal, characteristic, complemented
5#23770555C211yesmaximal, characteristic, complemented
6#23770535C211yesmaximal, characteristic, complemented
7#23770518C211yesmaximal, characteristic, complemented
8#23770311C211yesmaximal, characteristic, complemented
9#23770069C211yesmaximal, characteristic, complemented
10#23770018C211yesmaximal, characteristic, complemented
11#23769982C211yesmaximal, characteristic, complemented
12#23769887C211yesmaximal, characteristic, complemented
13#23769786C211yesmaximal, characteristic, complemented
14#23769784C211yesmaximal, characteristic, complemented
15#23769718C211yesmaximal, characteristic, complemented
16#23769636C211yesmaximal, characteristic, complemented
17#23769605C211yesmaximal, characteristic, complemented
18#23769593C211yesmaximal, characteristic, complemented
19#23769525C211yesmaximal, characteristic, complemented
20#23768916C211yesmaximal, characteristic, complemented
21#23768702C211yesmaximal, characteristic, complemented
22#23768533C211yesmaximal, characteristic, complemented
23#23768530C211yesmaximal, characteristic, complemented
24#23767624C211yesmaximal, characteristic, complemented
25#23767592C211yesmaximal, characteristic, complemented
26#23767507C211yesmaximal, characteristic, complemented
27#23767497C211yesmaximal, characteristic, complemented
28#23766191C211yesmaximal, characteristic, complemented
29#23766159C211yesmaximal, characteristic, complemented
30#23765782C211yesmaximal, characteristic, complemented
31C79×#2706C211yesmaximal, characteristic, complemented
32C23×C4×D79C2211yescharacteristic
33C2×#14579156C2211yescharacteristic
34C2×#14579156C2211yescharacteristic
35C2×#14579156C2211yescharacteristic, complemented
36C2×#14579145C2211yescharacteristic
37C2×#14579142C2211yescharacteristic
38C2×#14579135C2211yescharacteristic
39C2×#14579134C2211yescharacteristic
40C2×#14579134C2211yescharacteristic
41C2×#14579134C2211yescharacteristic
42C2×#14579133C2211yescharacteristic
43C2×#14579133C2211yescharacteristic
44C2×#14579131C2211yescharacteristic
45C2×#14579129C2211yescharacteristic
46C2×#14579129C2211yescharacteristic
47C2×#14579119C2211yescharacteristic
48C2×#14579119C2211yescharacteristic
49C79⋊#401C2211yescharacteristic, complemented
50#19098505C2211yescharacteristic, complemented
51#19098504C2211yescharacteristic, complemented
52#19098503C2211yescharacteristic, complemented
53#19098502C2211yescharacteristic, complemented
54#19098499C2211yescharacteristic
55#19098499C2211yescharacteristic, complemented
56#19098498C2211yescharacteristic
57#19098498C2211yescharacteristic, complemented
58#19098497C2211yescharacteristic, complemented
59#19098497C2211yescharacteristic, complemented
60#19098497C2211yescharacteristic, complemented
61#19098496C2211yescharacteristic, complemented
62#19098494C2211yescharacteristic, complemented
63#19098493C2211yescharacteristic, complemented
64#19098492C2211yescharacteristic
65#19098491C2211yescharacteristic, complemented
66#19098490C2211yescharacteristic
67#19098490C2211yescharacteristic
68#19098488C2211yescharacteristic, complemented
69#19098486C2211yescharacteristic
70#19098486C2211yescharacteristic
71#19098485C2211yescharacteristic
72#19098485C2211yescharacteristic, complemented
73#19098481C2211yescharacteristic
74#19098481C2211yescharacteristic
75#19098480C2211yescharacteristic
76#19098480C2211yescharacteristic
77#19098479C2211yescharacteristic
78#19098479C2211yescharacteristic
79#19098479C2211yescharacteristic
80#19098479C2211yescharacteristic, complemented
81#19098479C2211yescharacteristic, complemented
82#19098478C2211yescharacteristic
83#19098478C2211yescharacteristic
84#19098478C2211yescharacteristic
85#19098478C2211yescharacteristic
86#19098478C2211yescharacteristic, complemented
87#19098477C2211yescharacteristic
88#19098471C2211yescharacteristic
89#19098471C2211yescharacteristic
90#19098471C2211yescharacteristic, complemented
91#19098466C2211yescharacteristic
92#19098466C2211yescharacteristic, complemented
93#19098464C2211yescharacteristic
94#19098463C2211yescharacteristic
95#19098463C2211yescharacteristic
96#19098463C2211yescharacteristic
97#19098463C2211yescharacteristic, complemented
98#19098462C2211yescharacteristic, complemented
99#19098462C2211yescharacteristic, complemented
100#19098460C2211yescharacteristic, complemented
101#19098458C2211yescharacteristic, complemented
102#19098457C2211yescharacteristic
103#19098457C2211yescharacteristic
104#19098457C2211yescharacteristic, complemented
105#19098457C2211yescharacteristic, complemented
106#19098457C2211yescharacteristic, complemented
107#19098455C2211yescharacteristic, complemented
108#19098454C2211yescharacteristic
109#19098454C2211yescharacteristic
110#19098453C2211yescharacteristic
111#19098453C2211yescharacteristic, complemented
112#19098452C2211yescharacteristic
113#19098452C2211yescharacteristic
114#19098452C2211yescharacteristic, complemented
115#19098451C2211yescharacteristic, complemented
116#19098451C2211yescharacteristic, complemented
117#19098451C2211yescharacteristic, complemented
118#19098450C2211yescharacteristic, complemented
119#19098449C2211yescharacteristic, complemented
120#19098448C2211yescharacteristic, complemented
121#19098447C2211yescharacteristic, complemented
122#19098445C2211yescharacteristic, complemented
123#19098445C2211yescharacteristic, complemented
124#19098444C2211yescharacteristic, complemented
125#19098444C2211yescharacteristic, complemented
126#19098444C2211yescharacteristic, complemented
127#19098443C2211yescharacteristic
128#19098442C2211yescharacteristic
129#19098442C2211yescharacteristic
130#19098441C2211yescharacteristic
131#19098441C2211yescharacteristic
132#19098441C2211yescharacteristic
133#19098440C2211yescharacteristic, complemented
134#19098439C2211yescharacteristic
135#19098439C2211yescharacteristic
136#19098439C2211yescharacteristic
137#19098439C2211yescharacteristic
138#19098439C2211yescharacteristic
139#19098439C2211yescharacteristic
140#19098439C2211yescharacteristic
141#19098439C2211yescharacteristic, complemented
142#19098438C2211yescharacteristic, complemented
143#19098436C2211yescharacteristic, complemented
144#19098435C2211yescharacteristic, complemented
145#19098434C2211yescharacteristic
146#19098434C2211yescharacteristic
147#19098434C2211yescharacteristic
148#19098434C2211yescharacteristic
149#19098434C2211yescharacteristic, complemented
150#19098426C2211yescharacteristic
151#19098425C2211yescharacteristic
152#19098425C2211yescharacteristic
153#19098425C2211yescharacteristic, complemented
154#19098424C2211yescharacteristic
155#19098423C2211yescharacteristic
156#19098422C2211yescharacteristic
157#19098422C2211yescharacteristic
158#19098421C2211yescharacteristic
159#19098420C2211yescharacteristic
160#19098420C2211yescharacteristic
161#19098418C2211yescharacteristic
162#19098418C2211yescharacteristic
163#19098418C2211yescharacteristic
164#19098414C2211yescharacteristic, complemented
165C22⋊C4×Dic79C2211yescharacteristic
166C22⋊C4×Dic79C2211yescharacteristic
167C22⋊C4×Dic79C2211yescharacteristic, complemented
168C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
169C4×C22⋊Dic79C2211yescharacteristic, complemented
170#19098410C2211yescharacteristic
171#19098410C2211yescharacteristic
172C2×#123×C79C2211yescharacteristic
173C2×#123×C79C2211yescharacteristic, complemented
174#399×C79C2211yescharacteristic
175#398×C79C2211yescharacteristic, complemented
176#397×C79C2211yescharacteristic, complemented
177#396×C79C2211yescharacteristic, complemented
178#394×C79C2211yescharacteristic, complemented
179#392×C79C2211yescharacteristic
180#390×C79C2211yescharacteristic
181#388×C79C2211yescharacteristic, complemented
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic
184#385×C79C2211yescharacteristic, complemented
185#382×C79C2211yescharacteristic, complemented
186#380×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C22×D316C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C22×C4×D79—24no—
200C22×C4×D79—42no—
201C22×C4×D79—42no—
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207#14579156—42no—
208#14579156—42no—
209#14579156—42no—
210#14579145—42no—
211#14579142—24no—
212#14579135—42no—
213#14579134—42no—
214#14579134—42no—
215#14579134—42no—
216#14579133—24no—
217#14579133—42no—
218#14579131—42no—
219#14579129—42no—
220#14579129—42no—
221#14579119—42no—
222#14579119—42no—
223C2×C4⋊Dic79C2311yescharacteristic
224C2×C4⋊Dic79C2311yescharacteristic
225C2×C4⋊Dic79C2311yescharacteristic
226C2×C4⋊Dic79C2311yescharacteristic
227C2×C4⋊Dic79C2311yescharacteristic
228C2×C4⋊Dic79C2311yescharacteristic
229C2×C4⋊Dic79C2311yescharacteristic
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⋊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×(C2×D79)⋊C4C2311yescharacteristic
260C2×(C2×D79)⋊C4C2311yescharacteristic
261C2×(C2×D79)⋊C4C2311yescharacteristic
262C2×(C2×D79)⋊C4C2311yescharacteristic
263C2×(C2×D79)⋊C4C2311yescharacteristic
264C2×(C2×D79)⋊C4C2311yescharacteristic
265C2×(C2×D79)⋊C4C2311yescharacteristic
266C2×(C2×D79)⋊C4C2311yescharacteristic
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×C4×Dic79C2311yescharacteristic
287C2×C4×Dic79C2311yescharacteristic
288C2×C4×Dic79C2311yescharacteristic
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
294C79⋊#95C2311yescharacteristic
295C79⋊#95C2311yescharacteristic
296C79⋊#95C2311yescharacteristic
297C79⋊#95C2311yescharacteristic
298C79⋊#95C2311yescharacteristic
299C79⋊#95C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C22×D4×C79C2311yescharacteristic
327C22×D4×C79C2311yescharacteristic
328C22×D4×C79C2311yescharacteristic
329C23×C4×C79C2311yescharacteristic
330C23×C4×C79C2311yescharacteristic
331#123×C79—42no—
332#123×C79—42no—
333C2×C4⋊C4×C79C2311yescharacteristic
334C2×C4⋊C4×C79C2311yescharacteristic
335C2×C4⋊C4×C79C2311yescharacteristic
336C2×C4⋊C4×C79C2311yescharacteristic
337C2×C4⋊C4×C79C2311yescharacteristic
338C2×C4⋊C4×C79C2311yescharacteristic
339C2×C4⋊C4×C79C2311yescharacteristic
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C22⋊C4×C79C2311yescharacteristic
342C2×C22⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C42×C79C2311yescharacteristic
355#95×C79C2311yescharacteristic
356#95×C79C2311yescharacteristic
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363C23×D79—22no—
364C23×D79—22no—
365C23×D79—22no—
366C23×D79—41no—
367C23×D79—41no—
368C23×D79—41no—
369C23×D79—41no—
370C23×D79C2411yescharacteristic
371C23×D79C2411yescharacteristic
372C23×D79C2411yescharacteristic
373C2×D316—22no—
374C2×D316—22no—
375C2×D316—41no—
376C2×D316—41no—
377C2×D316—41no—
378C2×D316—41no—
379C2×C22⋊D79—22no—
380C2×C22⋊D79—22no—
381C2×C22⋊D79—22no—
382C2×C22⋊D79—22no—
383C2×C22⋊D79—22no—
384C2×C22⋊D79—22no—
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—
400C22×Dic79—41no—
401C22×Dic79—41no—
402C22×Dic79—41no—
403C22×Dic79—41no—
404C22×Dic79—41no—
405C22×Dic79#4114yes—
406C22×Dic79C2411yescharacteristic
407C22×Dic79C2411yescharacteristic
408C22×Dic79C2411yescharacteristic
409C22×Dic79C2411yescharacteristic
410C22×Dic79C2411yescharacteristic
411C22×Dic79C2411yescharacteristic
412C22×Dic79C2411yescharacteristic
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C2×C4×D79—22no—
420C2×C4×D79—22no—
421C2×C4×D79—22no—
422C2×C4×D79—22no—
423C2×C4×D79—22no—
424C2×C4×D79—22no—
425C2×C4×D79—22no—
426C2×C4×D79—22no—
427C2×C4×D79—41no—
428C2×C4×D79—41no—
429C2×C4×D79—41no—
430C2×C4×D79—41no—
431C2×C4×D79—41no—
432C2×C4×D79—41no—
433C2×C4×D79—41no—
434C2×C4×D79—416no—
435C4⋊Dic79—22no—
436C4⋊Dic79—41no—
437C4⋊Dic79—41no—
438C4⋊Dic79—41no—
439C4⋊Dic79—41no—
440C4⋊Dic79—41no—
441C4⋊Dic79—41no—
442Dic79⋊C4—22no—
443Dic79⋊C4—22no—
444Dic79⋊C4—22no—
445Dic79⋊C4—41no—
446Dic79⋊C4—41no—
447Dic79⋊C4—41no—
448Dic79⋊C4—41no—
449Dic79⋊C4—41no—
450Dic79⋊C4—41no—
451Dic79⋊C4—41no—
452Dic79⋊C4—41no—
453Dic79⋊C4—41no—
454Dic79⋊C4—41no—
455Dic79⋊C4—41no—
456Dic79⋊C4—41no—
457C22⋊Dic79—22no—
458C22⋊Dic79—22no—
459C22⋊Dic79—22no—
460C22⋊Dic79—22no—
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—
471(C2×D79)⋊C4—22no—
472(C2×D79)⋊C4—22no—
473(C2×D79)⋊C4—22no—
474(C2×D79)⋊C4—22no—
475(C2×D79)⋊C4—22no—
476(C2×D79)⋊C4—22no—
477(C2×D79)⋊C4—22no—
478(C2×D79)⋊C4—22no—
479(C2×D79)⋊C4—22no—
480(C2×D79)⋊C4—22no—
481(C2×D79)⋊C4—41no—
482(C2×D79)⋊C4—41no—
483(C2×D79)⋊C4—41no—
484(C2×D79)⋊C4—41no—
485(C2×D79)⋊C4—41no—
486(C2×D79)⋊C4—41no—
487(C2×D79)⋊C4—41no—
488(C2×D79)⋊C4—41no—
489(C2×D79)⋊C4—41no—
490(C2×D79)⋊C4—41no—
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—
498C4×Dic79—41no—
499C4×Dic79—41no—
500C4×Dic79—41no—
501C4×Dic79—41no—
502C4×Dic79—41no—
503C4×Dic79—41no—
504C4×Dic79—41no—
505C4×Dic79—41no—
506C24×C79C2411yescharacteristic
507C24×C79C2411yescharacteristic
508C24×C79C2411yescharacteristic
509C2×D4×C79—22no—
510C2×D4×C79—22no—
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—
518C22×C4×C79—22no—
519C22×C4×C79—22no—
520C22×C4×C79—41no—
521C22×C4×C79—41no—
522C22×C4×C79—41no—
523C22×C4×C79—41no—
524C22×C4×C79C2411yescharacteristic
525C22×C4×C79C2411yescharacteristic
526C22×C4×C79C2411yescharacteristic
527C22×C4×C79C2411yescharacteristic
528C22×C4×C79C2411yescharacteristic
529C22×C4×C79C2411yescharacteristic
530C22×C4×C79C2411yescharacteristic
531C22×C4×C79C2411yescharacteristic
532C22×C4×C79C2411yescharacteristic
533C22×C4×C79C2411yescharacteristic
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2411yescharacteristic
536C4⋊C4×C79—22no—
537C4⋊C4×C79—22no—
538C4⋊C4×C79—41no—
539C4⋊C4×C79—41no—
540C4⋊C4×C79—41no—
541C4⋊C4×C79—41no—
542C4⋊C4×C79—41no—
543C4⋊C4×C79—41no—
544C22⋊C4×C79—22no—
545C22⋊C4×C79—22no—
546C22⋊C4×C79—41no—
547C22⋊C4×C79—41no—
548C22⋊C4×C79—41no—
549C22⋊C4×C79—41no—
550C22⋊C4×C79—41no—
551C22⋊C4×C79—41no—
552C22⋊C4×C79—41no—
553C22⋊C4×C79—41no—
554C22⋊C4×C79—41no—
555C22⋊C4×C79—41no—
556C22⋊C4×C79—41no—
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×C79C2×#4112yes—
579C23×C79C2511yescharacteristic
580C22×D79—21no—
581C22×D79—21no—
582C22×D79—21no—
583C22×D79—21no—
584C22×D79—21no—
585C22×D79—21no—
586C22×D79—21no—
587C22×D79—21no—
588C22×D79—21no—
589C22×D79—21no—
590C22×D79—21no—
591C22×D79—21no—
592C22×D79—21no—
593C22×D79—21no—
594C22×D79—21no—
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—44no—
600C22×D79—44no—
601C22×D79—44no—
602C22×D79—44no—
603C22×D79—44no—
604C22×D79—44no—
605C22×D79—44no—
606C22×D79H(5,𝔽2)12yes—
607C22×D79H(5,𝔽2)12yes—
608D4×C79—82no—
609D4×C79—82no—
610D4×C79—82no—
611C2×C4×C79—21no—
612C2×C4×C79—21no—
613C2×C4×C79—21no—
614C2×C4×C79—21no—
615C2×C4×C79—21no—
616C2×C4×C79—21no—
617C2×C4×C79—21no—
618C2×C4×C79—21no—
619C2×C4×C79—21no—
620C2×C4×C79—21no—
621C2×C4×C79—21no—
622C2×C4×C79—21no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—44no—
647C2×C4×C79—82no—
648C2×C4×C79H(5,𝔽2)12yes—
649C22⋊D79—82no—
650C22⋊D79—82no—
651C22⋊D79—82no—
652C22⋊D79—82no—
653C22⋊D79—82no—
654C22⋊D79—82no—
655C22⋊D79—82no—
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—44no—
694C2×Dic79—82no—
695C2×Dic79C2×#4112yes—
696C2×Dic79C2×#4112yes—
697D316—82no—
698D316—82no—
699C4×D79—28no—
700C4×D79—44no—
701C4×D79—44no—
702C4×D79—44no—
703C4×D79—82no—
704C22×C79—22no—
705C22×C79—22no—
706C22×C79—22no—
707C22×C79—41no—
708C22×C79—41no—
709C22×C79—41no—
710C22×C79—41no—
711C22×C79—41no—
712C22×C79—41no—
713C22×C79—41no—
714C22×C79—41no—
715C22×C79—41no—
716C22×C79—41no—
717C22×C79—41no—
718C22×C79—41no—
719C22×C79—41no—
720C22×C79—41no—
721C22×C79—41no—
722C22×C79—41no—
723C22×C79—41no—
724C22×C79—41no—
725C22×C79C22×#4111yescharacteristic
726C22×C79C2×H(5,𝔽2)11yescharacteristic
727C22×C79C2×H(5,𝔽2)11yescharacteristic
728C22×C79C2×H(5,𝔽2)11yescharacteristic
729C22×C79#58511yescharacteristic
730C22×C79#58511yescharacteristic
731C22×C79#58511yescharacteristic
732C2×D79—22no—
733C2×D79—22no—
734C2×D79—22no—
735C2×D79—22no—
736C2×D79—22no—
737C2×D79—22no—
738C2×D79—416no—
739C2×D79—41no—
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—41no—
756C4×C79—41no—
757C4×C79—41no—
758C4×C79—41no—
759C4×C79—41no—
760C4×C79—41no—
761C4×C79—41no—
762C4×C79—41no—
763C4×C79—41no—
764C4×C79—41no—
765C4×C79—41no—
766Dic79—22no—
767Dic79—22no—
768Dic79—41no—
769Dic79—41no—
770Dic79—41no—
771Dic79—41no—
772Dic79—41no—
773Dic79—41no—
774Dic79—41no—
775Dic79—41no—
776Dic79—41no—
777Dic79—41no—
778Dic79—41no—
779#36734—791nomaximal, Sylow
780C2×C79—42no—
781C2×C79—81no—
782C2×C79—81no—
783C2×C79#345511yescharacteristic
784C2×C79#349011yescharacteristic
785C2×C79#349411yescharacteristic
786C2×C79#353311yescharacteristic
787C2×C79#353411yescharacteristic
788C2×C79#353911yescharacteristic
789C2×C79#354211yescharacteristic
790D79—42no—
791D79—42no—
792D79—81no—
793#2849—791no—
794#2847—791no—
795#2746—791no—
796#2746—791no—
797#2744—791no—
798#2743—791no—
799#2741—791no—
800#2722—791no—
801#2706D7911yescharacteristic, complemented
802#2705—791no—
803#2701—791no—
804#2699—791no—
805#2691—791no—
806#2685—791no—
807#2685—791no—
808#2678—791no—
809#2671—791no—
810#2668—791no—
811#2667—791no—
812#2661—791no—
813#2595—791no—
814#2576—791no—
815#2559—791no—
816#2559—791no—
817#2479—791no—
818#2476—791no—
819#2471—791no—
820#2470—791no—
821#2335—791no—
822#2333—791no—
823#2280—791no—
824C79#3673411yescharacteristic, complemented, Sylow
825C24×C4—791no—
826C2×#126—791no—
827C2×#126—791no—
828C2×#126—791no—
829C2×#123—791no—
830C2×#123—791no—
831C2×#123C2×D7911yescharacteristic
832C2×#123C2×D7911yescharacteristic, complemented
833C2×#121—791no—
834C2×#121—791no—
835C2×#121—791no—
836C2×#121—791no—
837C2×#121—791no—
838C2×#121—791no—
839C2×#120—791no—
840C2×#120—791no—
841C2×#120—791no—
842C2×#117—791no—
843C2×#117—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#399—791no—
853#399C2×D7911yescharacteristic
854#398—791no—
855#398—791no—
856#398—791no—
857#398—791no—
858#398—791no—
859#398—791no—
860#398C2×D7911yescharacteristic, complemented
861#397—791no—
862#397—791no—
863#397—791no—
864#397—791no—
865#397—791no—
866#397C2×D7911yescharacteristic, complemented
867#396—791no—
868#396—791no—
869#396—791no—
870#396—791no—
871#396C2×D7911yescharacteristic, complemented
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#394C2×D7911yescharacteristic, complemented
888#392—791no—
889#392—791no—
890#392—791no—
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#390C2×D7911yescharacteristic
900#389—791no—
901#389—791no—
902#389—791no—
903#389—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#388—791no—
920#388C2×D7911yescharacteristic, complemented
921#387—791no—
922#387—791no—
923#387—791no—
924#387—791no—
925#387—791no—
926#387—791no—
927#387—791no—
928#387—791no—
929#387—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#386—791no—
945#386C2×D7911yescharacteristic
946#386C2×D7911yescharacteristic
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, complemented
956#382C2×D7911yescharacteristic, complemented
957#381—791no—
958#381—791no—
959#381—791no—
960#381—791no—
961#381—791no—
962#380—791no—
963#380—791no—
964#380—791no—
965#380—791no—
966#380—791no—
967#380—791no—
968#380C2×D7911yescharacteristic
969#379—791no—
970#379—791no—
971#379—791no—
972C4×C4⋊C4—791no—
973C4×C22⋊C4—791no—
974C4×C22⋊C4—791no—
975C4×C22⋊C4—791no—
976C4×C22⋊C4—791no—
977C4×C22⋊C4—791no—
978C4×C22⋊C4—791no—
979C4×C22⋊C4—791no—
980C25—791no—
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—3162no—
994C23×C4—3162no—
995C23×C4—791no—
996C23×C4—791no—
997C23×C4—791no—
998C23×C4—791no—
999C23×C4—791no—
1000C23×C4—791no—
1001C23×C4—791no—
1002C23×C4—1584no—
1003C23×C4C22×D7911yescharacteristic
1004C23×C4C22×D7911yescharacteristic
1005#126—3162no—
1006#126—3162no—
1007#126—3162no—
1008#123—42no—
1009#123—42no—
1010#123—3162no—
1011#123—1584no—
1012#121—3162no—
1013#121—3162no—
1014#121—3162no—
1015#121—3162no—
1016#121—3162no—
1017#121—1584no—
1018#120—3162no—
1019#120—3162no—
1020#120—3162no—
1021#117—3162no—
1022#117—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⋊C4C22×D7911yescharacteristic
1046C2×C4⋊C4C22×D7911yescharacteristic
1047C2×C4⋊C4C22×D7911yescharacteristic
1048C2×C4⋊C4C22×D7911yescharacteristic
1049C2×C4⋊C4C22×D7911yescharacteristic
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⋊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#95C22×D7911yescharacteristic
1149#95C22×D7911yescharacteristic
1150#95C22×D7911yescharacteristic
1151#95C22×D7911yescharacteristic
1152#95C22×D7911yescharacteristic
1153#95C22×D7911yescharacteristic
1154#95C22×D7911yescharacteristic
1155#95C22×D7911yescharacteristic
1156C24—3161no—
1157C24—3161no—
1158C24—3161no—
1159C24—3161no—
1160C24—791no—
1161C24—791no—
1162C24—791no—
1163C24—1582no—
1164C24—1582no—
1165C24—1582no—
1166C24C23×D7911yescharacteristic
1167C24C23×D7911yescharacteristic
1168C24C23×D7911yescharacteristic
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
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—1582no—
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—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—3161no—
1212C22×C4—3161no—
1213C22×C4—3161no—
1214C22×C4—3161no—
1215C22×C4—3161no—
1216C22×C4—3161no—
1217C22×C4—3161no—
1218C22×C4—31616no—
1219C22×C4—3161no—
1220C22×C4—3161no—
1221C22×C4—3161no—
1222C22×C4—3161no—
1223C22×C4—3161no—
1224C22×C4—794no—
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—1582no—
1239C22×C4—1582no—
1240C22×C4—1582no—
1241C22×C4—1582no—
1242C22×C4—1582no—
1243C22×C4—1582no—
1244C22×C4—1582no—
1245C22×C4—1582no—
1246C22×C4C23×D7911yescharacteristic
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—22no—
1259C4⋊C4—22no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
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—3161no—
1284C4⋊C4—1582no—
1285C4⋊C4—1582no—
1286C4⋊C4—1582no—
1287C4⋊C4—1582no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
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—1582no—
1329C22⋊C4—1582no—
1330C22⋊C4—1582no—
1331C22⋊C4—1582no—
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—1582no—
1342C42—41no—
1343C42—3161no—
1344C42—3161no—
1345C42—3161no—
1346C42—3161no—
1347C42—3161no—
1348C42—3161no—
1349C42—3161no—
1350C42—3161no—
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—3164no—
1372C23—3164no—
1373C23—3164no—
1374C23—3164no—
1375C23—3164no—
1376C23—3164no—
1377C23—3164no—
1378C23—792no—
1379C23—792no—
1380C23—1581no—
1381C23—1581no—
1382C23—1581no—
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—
1397C23—1581no—
1398C23—1581no—
1399C23#41×D7912yes—
1400C23C24×D7911yescharacteristic
1401D4—82no—
1402D4—82no—
1403D4—82no—
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—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—44no—
1449C2×C4—82no—
1450C2×C4—3164no—
1451C2×C4—3164no—
1452C2×C4—3164no—
1453C2×C4—3164no—
1454C2×C4—792no—
1455C2×C4—792no—
1456C2×C4—6322no—
1457C2×C4—6322no—
1458C2×C4—1588no—
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×C4—1581no—
1496C2×C4#1457920612yes—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—31616no—
1519C22—3161no—
1520C22—3161no—
1521C22—3161no—
1522C22—3161no—
1523C22—3161no—
1524C22—3161no—
1525C22—3161no—
1526C22—3161no—
1527C22—3161no—
1528C22—3161no—
1529C22—3161no—
1530C22—3161no—
1531C22—3161no—
1532C22—3161no—
1533C22—3161no—
1534C22—1582no—
1535C22—1582no—
1536C22—1582no—
1537C22—1582no—
1538C22—1582no—
1539C22—1582no—
1540C22C2×#41×D7911yescharacteristic
1541C22H(5,𝔽2)×D7911yescharacteristic
1542C22H(5,𝔽2)×D7911yescharacteristic
1543C22C2×#1457920611yescharacteristic
1544C22#1909939811yescharacteristic
1545C22#1909939911yescharacteristic
1546C22#1909940011yescharacteristic
1547C4—22no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—3161no—
1560C4—3161no—
1561C4—3161no—
1562C4—3161no—
1563C4—3161no—
1564C4—3161no—
1565C4—3161no—
1566C4—3161no—
1567C4—3161no—
1568C4—3161no—
1569C4—3161no—
1570C4—1582no—
1571C4—1582no—
1572C2—42no—
1573C2—81no—
1574C2—81no—
1575C2—3162no—
1576C2—3162no—
1577C2—6321no—
1578C2#2377678611yescharacteristic
1579C2#2377708211yescharacteristic
1580C2#2377712611yescharacteristic
1581C2#2377756011yescharacteristic
1582C2#2377759211yescharacteristic
1583C2#2377765511yescharacteristic
1584C2#2377771811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2706C2
hypercenter#2706D79
hypocenterC79#36734
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2706

Complements

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

NH ≅ G/Ntype
1. #23771689C2semidirect
2. #23771681C2semidirect
3. #23770588C2semidirect
4. #23770581C2semidirect
5. #23770555C2semidirect
6. #23770535C2semidirect
7. #23770518C2semidirect
8. #23770311C2semidirect
9. #23770069C2semidirect
10. #23770018C2semidirect
11. #23769982C2semidirect
12. #23769887C2semidirect
13. #23769786C2semidirect
14. #23769784C2semidirect
15. #23769718C2semidirect
16. #23769636C2semidirect
17. #23769605C2semidirect
18. #23769593C2semidirect
19. #23769525C2semidirect
20. #23768916C2semidirect
21. #23768702C2semidirect
22. #23768533C2semidirect
23. #23768530C2semidirect
24. #23767624C2semidirect
25. #23767592C2semidirect
26. #23767507C2semidirect
27. #23767497C2semidirect
28. #23766191C2semidirect
29. #23766159C2semidirect
30. #23765782C2semidirect
31. C79×#2706C2semidirect
35. C2×#14579156C22semidirect
49. C79⋊#401C22semidirect
50. #19098505C22semidirect
51. #19098504C22semidirect
52. #19098503C22semidirect
53. #19098502C22semidirect
55. #19098499C22semidirect
57. #19098498C22semidirect
58. #19098497C22semidirect
59. #19098497C22semidirect
60. #19098497C22semidirect
61. #19098496C22semidirect
62. #19098494C22semidirect
63. #19098493C22semidirect
65. #19098491C22semidirect
68. #19098488C22semidirect
72. #19098485C22semidirect
80. #19098479C22semidirect
81. #19098479C22semidirect
86. #19098478C22semidirect
90. #19098471C22semidirect
92. #19098466C22semidirect
97. #19098463C22semidirect
98. #19098462C22semidirect
99. #19098462C22semidirect
100. #19098460C22semidirect
101. #19098458C22semidirect
104. #19098457C22semidirect
105. #19098457C22semidirect
106. #19098457C22semidirect
107. #19098455C22semidirect
111. #19098453C22semidirect
114. #19098452C22semidirect
115. #19098451C22semidirect
116. #19098451C22semidirect
117. #19098451C22semidirect
118. #19098450C22semidirect
119. #19098449C22semidirect
120. #19098448C22semidirect
121. #19098447C22semidirect
122. #19098445C22semidirect
123. #19098445C22semidirect
124. #19098444C22semidirect
125. #19098444C22semidirect
126. #19098444C22semidirect
133. #19098440C22semidirect
141. #19098439C22semidirect
142. #19098438C22semidirect
143. #19098436C22semidirect
144. #19098435C22semidirect
149. #19098434C22semidirect
153. #19098425C22semidirect
164. #19098414C22semidirect
167. C22⋊C4×Dic79C22semidirect
168. C4×(C2×D79)⋊C4C22semidirect
169. C4×C22⋊Dic79C22semidirect
173. C2×#123×C79C22semidirect
175. #398×C79C22semidirect
176. #397×C79C22semidirect
177. #396×C79C22semidirect
178. #394×C79C22semidirect
181. #388×C79C22semidirect
184. #385×C79C22semidirect
185. #382×C79C22semidirect
801. #2706D79semidirect
824. C79#36734semidirect
832. C2×#123C2×D79semidirect
860. #398C2×D79semidirect
866. #397C2×D79semidirect
871. #396C2×D79semidirect
887. #394C2×D79semidirect
920. #388C2×D79semidirect
955. #385C2×D79semidirect
956. #382C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716892
#237716812
#237705882
#237705812
#237705552
#237705352
#237705182
#237703112
#237700692
#237700182
#237699822
#237698872
#237697862
#237697842
#237697182
#237696362
#237696052
#237695932
#237695252
#237689162
#237687022
#237685332
#237685302
#237676242
#237675922
#237675072
#237674972
#237661912
#237661592
#237657822
C79×#27062
#3673479