Finite Group Databasebeta

← #34498391

Subgroups — #34498391

Order 20224.

1988 conjugacy classes of subgroups.

The subgroup lattice has 1594 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771695C211yesmaximal, characteristic, complemented
2#23771693C211yesmaximal, characteristic, complemented
3#23771345C211yesmaximal, characteristic, complemented
4#23770830C211yesmaximal, characteristic, complemented
5#23770778C211yesmaximal, characteristic, complemented
6#23770777C211yesmaximal, characteristic, complemented
7#23770587C211yesmaximal, characteristic, complemented
8#23770583C211yesmaximal, characteristic, complemented
9#23770146C211yesmaximal, characteristic, complemented
10#23770143C211yesmaximal, characteristic, complemented
11#23770132C211yesmaximal, characteristic, complemented
12#23770125C211yesmaximal, characteristic, complemented
13#23770122C211yesmaximal, characteristic, complemented
14#23769958C211yesmaximal, characteristic, complemented
15#23769782C211yesmaximal, characteristic, complemented
16#23769781C211yesmaximal, characteristic, complemented
17#23769615C211yesmaximal, characteristic
18#23769468C211yesmaximal, characteristic, complemented
19#23769462C211yesmaximal, characteristic, complemented
20#23768186C211yesmaximal, characteristic, complemented
21#23768184C211yesmaximal, characteristic, complemented
22#23767341C211yesmaximal, characteristic, complemented
23#23767335C211yesmaximal, characteristic, complemented
24#23767310C211yesmaximal, characteristic, complemented
25#23767308C211yesmaximal, characteristic, complemented
26#23767136C211yesmaximal, characteristic, complemented
27#23767130C211yesmaximal, characteristic, complemented
28#23766123C211yesmaximal, characteristic, complemented
29#23766064C211yesmaximal, characteristic, complemented
30#23765901C211yesmaximal, characteristic, complemented
31C79×#2765C211yesmaximal, characteristic, complemented
32C23×C4×D79C2211yescharacteristic
33C2×#14579158C2211yescharacteristic
34C2×#14579149C2211yescharacteristic
35C2×#14579147C2211yescharacteristic
36C2×#14579146C2211yescharacteristic
37C2×#14579146C2211yescharacteristic
38C2×#14579146C2211yescharacteristic
39C2×#14579145C2211yescharacteristic
40C2×#14579144C2211yescharacteristic
41C2×#14579136C2211yescharacteristic
42C2×#14579134C2211yescharacteristic
43C2×#14579131C2211yescharacteristic
44C2×#14579131C2211yescharacteristic
45C2×#14579131C2211yescharacteristic
46C2×#14579123C2211yescharacteristic
47C2×#14579123C2211yescharacteristic
48C2×#14579123C2211yescharacteristic, complemented
49C2×(C22⋊D79)⋊C4C2211yescharacteristic
50C2×C4⋊C4×D79C2211yescharacteristic, complemented
51C79⋊#401C2211yescharacteristic, complemented
52C79⋊#401C2211yescharacteristic, complemented
53C79⋊#401C2211yescharacteristic, complemented
54#19098504C2211yescharacteristic, complemented
55#19098502C2211yescharacteristic, complemented
56#19098501C2211yescharacteristic, complemented
57#19098498C2211yescharacteristic, complemented
58#19098498C2211yescharacteristic, complemented
59#19098497C2211yescharacteristic, complemented
60#19098497C2211yescharacteristic, complemented
61#19098492C2211yescharacteristic
62#19098492C2211yescharacteristic, complemented
63#19098491C2211yescharacteristic
64#19098490C2211yescharacteristic
65#19098489C2211yescharacteristic
66#19098489C2211yescharacteristic
67#19098489C2211yescharacteristic, complemented
68#19098485C2211yescharacteristic
69#19098481C2211yescharacteristic
70#19098481C2211yescharacteristic
71#19098481C2211yescharacteristic, complemented
72#19098481C2211yescharacteristic, complemented
73#19098480C2211yescharacteristic
74#19098480C2211yescharacteristic
75#19098480C2211yescharacteristic
76#19098480C2211yescharacteristic
77#19098480C2211yescharacteristic, complemented
78#19098480C2211yescharacteristic, complemented
79#19098479C2211yescharacteristic
80#19098478C2211yescharacteristic
81#19098476C2211yescharacteristic
82#19098476C2211yescharacteristic
83#19098476C2211yescharacteristic
84#19098476C2211yescharacteristic, complemented
85#19098476C2211yescharacteristic, complemented
86#19098476C2211yescharacteristic, complemented
87#19098476C2211yescharacteristic, complemented
88#19098475C2211yescharacteristic
89#19098473C2211yescharacteristic
90#19098473C2211yescharacteristic
91#19098472C2211yescharacteristic
92#19098472C2211yescharacteristic
93#19098468C2211yescharacteristic, complemented
94#19098467C2211yescharacteristic, complemented
95#19098467C2211yescharacteristic, complemented
96#19098467C2211yescharacteristic, complemented
97#19098464C2211yescharacteristic
98#19098464C2211yescharacteristic, complemented
99#19098458C2211yescharacteristic, complemented
100#19098457C2211yescharacteristic
101#19098455C2211yescharacteristic, complemented
102#19098455C2211yescharacteristic, complemented
103#19098454C2211yescharacteristic
104#19098454C2211yescharacteristic
105#19098454C2211yescharacteristic, complemented
106#19098453C2211yescharacteristic
107#19098453C2211yescharacteristic
108#19098453C2211yescharacteristic, complemented
109#19098453C2211yescharacteristic, complemented
110#19098452C2211yescharacteristic
111#19098452C2211yescharacteristic, complemented
112#19098449C2211yescharacteristic, complemented
113#19098448C2211yescharacteristic, complemented
114#19098447C2211yescharacteristic, complemented
115#19098446C2211yescharacteristic, complemented
116#19098445C2211yescharacteristic, complemented
117#19098444C2211yescharacteristic, complemented
118#19098442C2211yescharacteristic
119#19098442C2211yescharacteristic
120#19098441C2211yescharacteristic
121#19098441C2211yescharacteristic
122#19098441C2211yescharacteristic
123#19098441C2211yescharacteristic
124#19098441C2211yescharacteristic
125#19098441C2211yescharacteristic
126#19098441C2211yescharacteristic
127#19098441C2211yescharacteristic
128#19098441C2211yescharacteristic
129#19098441C2211yescharacteristic
130#19098441C2211yescharacteristic
131#19098441C2211yescharacteristic
132#19098441C2211yescharacteristic
133#19098441C2211yescharacteristic
134#19098441C2211yescharacteristic, complemented
135#19098441C2211yescharacteristic, complemented
136#19098441C2211yescharacteristic, complemented
137#19098441C2211yescharacteristic, complemented
138#19098441C2211yescharacteristic, complemented
139#19098441C2211yescharacteristic, complemented
140#19098440C2211yescharacteristic
141#19098439C2211yescharacteristic
142#19098439C2211yescharacteristic
143#19098439C2211yescharacteristic
144#19098437C2211yescharacteristic
145#19098437C2211yescharacteristic
146#19098437C2211yescharacteristic
147#19098437C2211yescharacteristic
148#19098437C2211yescharacteristic, complemented
149#19098435C2211yescharacteristic
150#19098434C2211yescharacteristic
151#19098434C2211yescharacteristic
152#19098434C2211yescharacteristic
153#19098434C2211yescharacteristic
154#19098434C2211yescharacteristic, complemented
155#19098434C2211yescharacteristic, complemented
156#19098425C2211yescharacteristic
157#19098425C2211yescharacteristic
158#19098425C2211yescharacteristic, complemented
159#19098425C2211yescharacteristic, complemented
160#19098425C2211yescharacteristic, complemented
161#19098424C2211yescharacteristic
162#19098420C2211yescharacteristic, complemented
163#19098420C2211yescharacteristic, complemented
164#19098418C2211yescharacteristic
165#19098418C2211yescharacteristic
166#19098418C2211yescharacteristic
167C22⋊C4×Dic79C2211yescharacteristic
168C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
169#19098410C2211yescharacteristic
170#19098410C2211yescharacteristic
171#19098409C2211yescharacteristic, complemented
172#401×C79C2211yescharacteristic, complemented
173#400×C79C2211yescharacteristic, complemented
174#398×C79C2211yescharacteristic, complemented
175#398×C79C2211yescharacteristic, complemented
176#397×C79C2211yescharacteristic
177#396×C79C2211yescharacteristic
178#389×C79C2211yescharacteristic, complemented
179#388×C79C2211yescharacteristic
180#388×C79C2211yescharacteristic
181#387×C79C2211yescharacteristic, complemented
182#387×C79C2211yescharacteristic, complemented
183#385×C79C2211yescharacteristic
184#385×C79C2211yescharacteristic
185#382×C79C2211yescharacteristic, complemented
186#381×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C22×Dic158C2311yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C22×C4×D79—42no—
204C22×C4×D79—42no—
205C22×C4×D79—42no—
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215#14579158—24no—
216#14579149—42no—
217#14579147—42no—
218#14579146—24no—
219#14579146—42no—
220#14579146—42no—
221#14579145—42no—
222#14579144—42no—
223#14579136—42no—
224#14579134—42no—
225#14579131—24no—
226#14579131—42no—
227#14579131—42no—
228#14579123—42no—
229#14579123—42no—
230#14579123—42no—
231(C22⋊D79)⋊C4—42no—
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C4⋊C4×D79—42no—
245C2×C22⋊Dic79C2311yescharacteristic
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
248C2×(C2×D79)⋊C4C2311yescharacteristic
249C2×(C2×D79)⋊C4C2311yescharacteristic
250C2×(C2×D79)⋊C4C2311yescharacteristic
251C2×(C2×D79)⋊C4C2311yescharacteristic
252C2×(C2×D79)⋊C4C2311yescharacteristic
253C2×(C2×D79)⋊C4C2311yescharacteristic
254C2×(C2×D79)⋊C4C2311yescharacteristic
255C2×(C2×D79)⋊C4C2311yescharacteristic
256C2×(C2×D79)⋊C4C2311yescharacteristic
257C2×(C2×D79)⋊C4C2311yescharacteristic
258C2×(C2×D79)⋊C4C2311yescharacteristic
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×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C79⋊#95C2311yescharacteristic
297C79⋊#95C2311yescharacteristic
298C79⋊#95C2311yescharacteristic
299C79⋊#95C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C23×C4×C79C2311yescharacteristic
329C2×C4⋊C4×C79C2311yescharacteristic
330C2×C4⋊C4×C79C2311yescharacteristic
331C2×C4⋊C4×C79C2311yescharacteristic
332C2×C4⋊C4×C79C2311yescharacteristic
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×C22⋊C4×C79C2311yescharacteristic
340C2×C22⋊C4×C79C2311yescharacteristic
341C2×C22⋊C4×C79C2311yescharacteristic
342C2×C22⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C42×C79C2311yescharacteristic
346C2×C42×C79C2311yescharacteristic
347#95×C79C2311yescharacteristic
348#95×C79C2311yescharacteristic
349#95×C79C2311yescharacteristic
350#95×C79C2311yescharacteristic
351#95×C79C2311yescharacteristic
352#95×C79C2311yescharacteristic
353#95×C79C2311yescharacteristic
354#95×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
373C23×D79C2411yescharacteristic
374C23×D79C2411yescharacteristic
375C2×Dic158—41no—
376C2×Dic158—41no—
377C2×Dic158—41no—
378C2×Dic158—41no—
379C2×Dic158—41no—
380C2×Dic158—41no—
381C2×D316—22no—
382C2×D316—22no—
383C2×D316—22no—
384C2×D316—22no—
385C2×D316—22no—
386C2×D316—22no—
387C2×D316—22no—
388C2×D316—22no—
389C2×D316—22no—
390C2×D316—41no—
391C2×D316—41no—
392C2×D316—41no—
393C2×D316—41no—
394C2×D316—41no—
395C2×D316—41no—
396C2×D316—41no—
397C2×D316—41no—
398C2×D316—41no—
399C2×D316—41no—
400C2×D316—41no—
401C2×D316—41no—
402C2×D316—41no—
403C2×D316—41no—
404C2×D316—41no—
405C2×D316—41no—
406C2×D316—41no—
407C2×D316#4114yes—
408C2×C22⋊D79—22no—
409C2×C22⋊D79—22no—
410C2×C22⋊D79—22no—
411C2×C22⋊D79—22no—
412C2×C22⋊D79—41no—
413C2×C22⋊D79—41no—
414C2×C22⋊D79—41no—
415C2×C22⋊D79—41no—
416C2×C22⋊D79—41no—
417C22×Dic79—22no—
418C22×Dic79—22no—
419C22×Dic79—41no—
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C2×C4×D79—22no—
432C2×C4×D79—22no—
433C2×C4×D79—22no—
434C2×C4×D79—22no—
435C2×C4×D79—22no—
436C2×C4×D79—22no—
437C2×C4×D79—41no—
438C2×C4×D79—41no—
439C2×C4×D79—41no—
440C2×C4×D79—41no—
441C2×C4×D79—41no—
442C2×C4×D79—41no—
443C2×C4×D79—41no—
444C2×C4×D79—41no—
445C2×C4×D79—41no—
446C2×C4×D79—41no—
447C2×C4×D79—41no—
448C2×C4×D79—41no—
449C2×C4×D79—41no—
450C2×C4×D79—41no—
451C2×C4×D79—41no—
452C2×C4×D79—41no—
453C2×C4×D79—41no—
454C2×C4×D79—41no—
455C2×C4×D79—41no—
456C2×C4×D79—41no—
457C2×C4×D79—41no—
458C2×C4×D79—416no—
459C4⋊Dic79—22no—
460C4⋊Dic79—41no—
461C4⋊Dic79—41no—
462Dic79⋊C4—22no—
463Dic79⋊C4—22no—
464Dic79⋊C4—41no—
465Dic79⋊C4—41no—
466Dic79⋊C4—41no—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
469Dic79⋊C4—41no—
470Dic79⋊C4—41no—
471C22⋊Dic79—22no—
472C22⋊Dic79—41no—
473C22⋊Dic79—41no—
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—22no—
482(C2×D79)⋊C4—22no—
483(C2×D79)⋊C4—22no—
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—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513(C2×D79)⋊C4—41no—
514(C2×D79)⋊C4—41no—
515(C2×D79)⋊C4—41no—
516(C2×D79)⋊C4—41no—
517C4×Dic79—22no—
518C4×Dic79—41no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C4×Dic79—41no—
522C24×C79C2411yescharacteristic
523C22×C4×C79—22no—
524C22×C4×C79—41no—
525C22×C4×C79—41no—
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
536C22×C4×C79C2411yescharacteristic
537C22×C4×C79C2411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539C22×C4×C79C2411yescharacteristic
540C4⋊C4×C79—22no—
541C4⋊C4×C79—41no—
542C4⋊C4×C79—41no—
543C4⋊C4×C79—41no—
544C4⋊C4×C79—41no—
545C4⋊C4×C79—41no—
546C4⋊C4×C79—41no—
547C4⋊C4×C79—41no—
548C4⋊C4×C79—41no—
549C4⋊C4×C79—41no—
550C22⋊C4×C79—22no—
551C22⋊C4×C79—22no—
552C22⋊C4×C79—22no—
553C22⋊C4×C79—41no—
554C22⋊C4×C79—41no—
555C22⋊C4×C79—41no—
556C42×C79—22no—
557C42×C79—41no—
558C23×C79—21no—
559C23×C79—21no—
560C23×C79—21no—
561C23×C79—21no—
562C23×C79—21no—
563C23×C79—21no—
564C23×C79H(5,𝔽2)12yes—
565C23×C79C2511yescharacteristic
566C22×D79—21no—
567C22×D79—21no—
568C22×D79—21no—
569C22×D79—21no—
570C22×D79—21no—
571C22×D79—21no—
572C22×D79—21no—
573C22×D79—21no—
574C22×D79—21no—
575C22×D79—21no—
576C22×D79—21no—
577C22×D79—21no—
578C22×D79—21no—
579C22×D79—21no—
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—44no—
599C22×D79—44no—
600C22×D79—44no—
601C22×D79—44no—
602C22×D79—44no—
603C22×D79—44no—
604C22×D79—44no—
605C22×D79C2×#4112yes—
606C22×D79C2×#4112yes—
607C22×D79H(5,𝔽2)12yes—
608C2×C4×C79—21no—
609C2×C4×C79—21no—
610C2×C4×C79—21no—
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—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—44no—
650C2×C4×C79C2×#4112yes—
651C22⋊D79—44no—
652C22⋊D79—82no—
653C22⋊D79—82no—
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—44no—
687C2×Dic79H(5,𝔽2)12yes—
688D316—44no—
689D316—44no—
690D316—44no—
691D316—82no—
692D316—82no—
693D316—82no—
694D316—82no—
695D316—82no—
696D316—82no—
697C4×D79—44no—
698C4×D79—44no—
699C4×D79—44no—
700C4×D79—44no—
701C4×D79—44no—
702C4×D79—82no—
703C4×D79—82no—
704C4×D79—82no—
705C4×D79—82no—
706Dic158—82no—
707Dic158—82no—
708C22×C79—22no—
709C22×C79—22no—
710C22×C79—22no—
711C22×C79—41no—
712C22×C79—41no—
713C22×C79—41no—
714C22×C79—41no—
715C22×C79C22×#4111yescharacteristic
716C22×C79C2×H(5,𝔽2)11yescharacteristic
717C22×C79C2×H(5,𝔽2)11yescharacteristic
718C22×C79C2×H(5,𝔽2)11yescharacteristic
719C22×C79#58511yescharacteristic
720C22×C79#58511yescharacteristic
721C22×C79#58511yescharacteristic
722C2×D79—22no—
723C2×D79—22no—
724C2×D79—22no—
725C2×D79—22no—
726C2×D79—22no—
727C2×D79—22no—
728C2×D79—22no—
729C2×D79—22no—
730C2×D79—22no—
731C2×D79—416no—
732C2×D79—41no—
733C2×D79—41no—
734C2×D79—41no—
735C2×D79—41no—
736C2×D79—41no—
737C2×D79—41no—
738C2×D79—41no—
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—
754C2×D79—41no—
755C2×D79—41no—
756C2×D79—41no—
757C2×D79—41no—
758C4×C79—22no—
759C4×C79—41no—
760C4×C79—41no—
761C4×C79—41no—
762C4×C79—41no—
763C4×C79—41no—
764C4×C79—41no—
765C4×C79—41no—
766C4×C79—41no—
767C4×C79—41no—
768C4×C79—41no—
769C4×C79—41no—
770C4×C79—41no—
771C4×C79—41no—
772Dic79—22no—
773Dic79—41no—
774Dic79—41no—
775Dic79—41no—
776Dic79—41no—
777Dic79—41no—
778Dic79—41no—
779Dic79—41no—
780Dic79—41no—
781Dic79—41no—
782Dic79—41no—
783#36840—791nomaximal, Sylow
784C2×C79—42no—
785C2×C79#345911yescharacteristic
786C2×C79#351311yescharacteristic
787C2×C79#351311yescharacteristic
788C2×C79#353211yescharacteristic
789C2×C79#353311yescharacteristic
790C2×C79#353311yescharacteristic
791C2×C79#354011yescharacteristic
792D79—42no—
793D79—42no—
794D79—42no—
795D79—81no—
796D79—81no—
797#2849—791no—
798#2849—791no—
799#2804—791no—
800#2765—791no—
801#2765D7911yescharacteristic, complemented
802#2760—791no—
803#2760—791no—
804#2746—791no—
805#2746—791no—
806#2710—791no—
807#2710—791no—
808#2709—791no—
809#2708—791no—
810#2708—791no—
811#2697—791no—
812#2684—791no—
813#2684—791no—
814#2669—791no—
815#2653—791no—
816#2653—791no—
817#2527—791no—
818#2527—791no—
819#2459—791no—
820#2459—791no—
821#2457—791no—
822#2457—791no—
823#2443—791no—
824#2443—791no—
825#2328—791no—
826#2322—791no—
827C4×#120—791no—
828C79#3684011yescharacteristic, complemented, Sylow
829C24×C4—791no—
830C2×#127—791no—
831C2×#124—791no—
832C2×#124—791no—
833C2×#123—791no—
834C2×#123—791no—
835C2×#123—791no—
836C2×#123—791no—
837C2×#123—791no—
838C2×#121—791no—
839C2×#121—791no—
840C2×#120—791no—
841C2×#120—791no—
842C2×#120—791no—
843C2×C4×D4—791no—
844C2×C4×D4—791no—
845C2×C4×D4—791no—
846C2×C4×D4—791no—
847C22×C4⋊C4—791no—
848#401—791no—
849#401—791no—
850#401—791no—
851#401C2×D7911yescharacteristic, complemented
852#400—791no—
853#400—791no—
854#400—791no—
855#400C2×D7911yescharacteristic, complemented
856#399—791no—
857#399—791no—
858#398—791no—
859#398—791no—
860#398C2×D7911yescharacteristic, complemented
861#398C2×D7911yescharacteristic, complemented
862#397—791no—
863#397—791no—
864#397—791no—
865#397—791no—
866#397—791no—
867#397—791no—
868#397—791no—
869#397C2×D7911yescharacteristic
870#396—791no—
871#396C2×D7911yescharacteristic
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#393—791no—
885#393—791no—
886#393—791no—
887#393—791no—
888#393—791no—
889#393—791no—
890#393—791no—
891#393—791no—
892#392—791no—
893#392—791no—
894#392—791no—
895#392—791no—
896#391—791no—
897#391—791no—
898#391—791no—
899#391—791no—
900#390—791no—
901#390—791no—
902#389—791no—
903#389C2×D7911yescharacteristic, complemented
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#388C2×D7911yescharacteristic
917#388C2×D7911yescharacteristic
918#387—791no—
919#387—791no—
920#387—791no—
921#387—791no—
922#387—791no—
923#387—791no—
924#387C2×D7911yescharacteristic, complemented
925#387C2×D7911yescharacteristic, complemented
926#386—791no—
927#386—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#386—791no—
945#386—791no—
946#386—791no—
947#386—791no—
948#386—791no—
949#386—791no—
950#386—791no—
951#386—791no—
952#385—791no—
953#385—791no—
954#385—791no—
955#385—791no—
956#385—791no—
957#385—791no—
958#385—791no—
959#385—791no—
960#385—791no—
961#385—791no—
962#385—791no—
963#385—791no—
964#385C2×D7911yescharacteristic
965#385C2×D7911yescharacteristic
966#382C2×D7911yescharacteristic, complemented
967#381—791no—
968#381—791no—
969#381—791no—
970#381—791no—
971#381—791no—
972#381—791no—
973#381C2×D7911yescharacteristic
974#380—791no—
975#380—791no—
976#379—791no—
977#379—791no—
978#379—791no—
979C4×C22⋊C4—791no—
980C4×C22⋊C4—791no—
981C4×C22⋊C4—791no—
982C4×C22⋊C4—791no—
983#376—791no—
984C25—791no—
985C22×Q8—791no—
986C22×Q8—791no—
987C22×D4—791no—
988C22×D4—791no—
989C22×D4—791no—
990C22×D4—791no—
991C22×D4—791no—
992C22×D4—791no—
993C22×D4—791no—
994C22×D4—791no—
995C22×D4—791no—
996C22×D4—791no—
997C22×D4—791no—
998C22×D4—791no—
999C23×C4—3162no—
1000C23×C4—3162no—
1001C23×C4—3162no—
1002C23×C4—791no—
1003C23×C4—791no—
1004C23×C4—791no—
1005C23×C4—791no—
1006C23×C4—791no—
1007C23×C4—791no—
1008C23×C4—791no—
1009C23×C4—791no—
1010C23×C4—791no—
1011C23×C4—791no—
1012C23×C4C22×D7911yescharacteristic
1013#127—1584no—
1014#124—3162no—
1015#124—3162no—
1016#123—3162no—
1017#123—3162no—
1018#123—3162no—
1019#123—3162no—
1020#123—1584no—
1021#121—3162no—
1022#121—3162no—
1023#120—3162no—
1024#120—3162no—
1025#120—1584no—
1026C4×D4—3162no—
1027C4×D4—3162no—
1028C4×D4—3162no—
1029C4×D4—3162no—
1030C2×C4⋊C4—3162no—
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⋊C4C22×D7911yescharacteristic
1044C2×C4⋊C4C22×D7911yescharacteristic
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⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
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×C42—791no—
1106C2×C42—791no—
1107C2×C42—791no—
1108C2×C42—791no—
1109C2×C42—791no—
1110C2×C42C22×D7911yescharacteristic
1111C2×C42C22×D7911yescharacteristic
1112#95—791no—
1113#95—791no—
1114#95—791no—
1115#95—791no—
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#95C22×D7911yescharacteristic
1145#95C22×D7911yescharacteristic
1146#95C22×D7911yescharacteristic
1147#95C22×D7911yescharacteristic
1148#95C22×D7911yescharacteristic
1149#95C22×D7911yescharacteristic
1150#95C22×D7911yescharacteristic
1151#95C22×D7911yescharacteristic
1152#95C22×D7911yescharacteristic
1153#95C22×D7911yescharacteristic
1154#95C22×D7911yescharacteristic
1155#95C22×D7911yescharacteristic
1156#95C22×D7911yescharacteristic
1157#95C22×D7911yescharacteristic
1158#95C22×D7911yescharacteristic
1159#95C22×D7911yescharacteristic
1160C24—3161no—
1161C24—3161no—
1162C24—3161no—
1163C24—3161no—
1164C24—791no—
1165C24—791no—
1166C24—791no—
1167C24—791no—
1168C24—791no—
1169C24—1582no—
1170C24—1582no—
1171C24—1582no—
1172C24C23×D7911yescharacteristic
1173C2×Q8—3161no—
1174C2×Q8—3161no—
1175C2×Q8—3161no—
1176C2×Q8—3161no—
1177C2×Q8—3161no—
1178C2×Q8—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—3161no—
1199C2×D4—3161no—
1200C2×D4—3161no—
1201C2×D4—794no—
1202C2×D4—1582no—
1203C2×D4—1582no—
1204C2×D4—1582no—
1205C2×D4—1582no—
1206C2×D4—1582no—
1207C2×D4—1582no—
1208C2×D4—1582no—
1209C2×D4—1582no—
1210C2×D4—1582no—
1211C2×D4—1582no—
1212C2×D4—1582no—
1213C2×D4—1582no—
1214C2×D4—1582no—
1215C22×C4—22no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—3161no—
1219C22×C4—3161no—
1220C22×C4—3161no—
1221C22×C4—3161no—
1222C22×C4—3161no—
1223C22×C4—3161no—
1224C22×C4—3161no—
1225C22×C4—3161no—
1226C22×C4—3161no—
1227C22×C4—3161no—
1228C22×C4—3161no—
1229C22×C4—3161no—
1230C22×C4—3161no—
1231C22×C4—3161no—
1232C22×C4—3161no—
1233C22×C4—3161no—
1234C22×C4—3161no—
1235C22×C4—3161no—
1236C22×C4—3161no—
1237C22×C4—3161no—
1238C22×C4—3161no—
1239C22×C4—31616no—
1240C22×C4—3161no—
1241C22×C4—791no—
1242C22×C4—791no—
1243C22×C4—791no—
1244C22×C4—791no—
1245C22×C4—791no—
1246C22×C4—791no—
1247C22×C4—791no—
1248C22×C4—791no—
1249C22×C4—791no—
1250C22×C4—791no—
1251C22×C4—791no—
1252C22×C4—1582no—
1253C22×C4—1582no—
1254C22×C4—1582no—
1255C22×C4—1582no—
1256C22×C4—1582no—
1257C22×C4—1582no—
1258C22×C4—1582no—
1259C22×C4—1582no—
1260C22×C4C23×D7911yescharacteristic
1261C22×C4C23×D7911yescharacteristic
1262C22×C4C23×D7911yescharacteristic
1263C22×C4C23×D7911yescharacteristic
1264C22×C4C23×D7911yescharacteristic
1265C22×C4C23×D7911yescharacteristic
1266C22×C4C23×D7911yescharacteristic
1267C22×C4C23×D7911yescharacteristic
1268C22×C4C23×D7911yescharacteristic
1269C22×C4C23×D7911yescharacteristic
1270C22×C4C23×D7911yescharacteristic
1271C22×C4C23×D7911yescharacteristic
1272C22×C4C23×D7911yescharacteristic
1273C22×C4C23×D7911yescharacteristic
1274C4⋊C4—22no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—3161no—
1285C4⋊C4—3161no—
1286C4⋊C4—3161no—
1287C4⋊C4—3161no—
1288C4⋊C4—3161no—
1289C4⋊C4—3161no—
1290C4⋊C4—3161no—
1291C4⋊C4—3161no—
1292C4⋊C4—3161no—
1293C4⋊C4—1582no—
1294C4⋊C4—1582no—
1295C4⋊C4—1582no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
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—3161no—
1334C22⋊C4—3161no—
1335C22⋊C4—3161no—
1336C22⋊C4—3161no—
1337C22⋊C4—1582no—
1338C22⋊C4—1582no—
1339C22⋊C4—1582no—
1340C22⋊C4—1582no—
1341C22⋊C4—1582no—
1342C22⋊C4—1582no—
1343C22⋊C4—1582no—
1344C22⋊C4—1582no—
1345C22⋊C4—1582no—
1346C22⋊C4—1582no—
1347C22⋊C4—1582no—
1348C42—22no—
1349C42—41no—
1350C42—3161no—
1351C42—3161no—
1352C42—3161no—
1353C42—3161no—
1354C42—1582no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—3164no—
1362C23—3164no—
1363C23—3164no—
1364C23—3164no—
1365C23—3164no—
1366C23—3164no—
1367C23—3164no—
1368C23—792no—
1369C23—792no—
1370C23—792no—
1371C23—1581no—
1372C23—1581no—
1373C23—1581no—
1374C23—1581no—
1375C23—1581no—
1376C23—1581no—
1377C23—1581no—
1378C23—1581no—
1379C23—1581no—
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—1581no—
1400C23—1581no—
1401C23—1581no—
1402C23—1581no—
1403C23#1457920712yes—
1404C23C24×D7911yescharacteristic
1405Q8—6322no—
1406Q8—6322no—
1407D4—3164no—
1408D4—3164no—
1409D4—3164no—
1410D4—3164no—
1411D4—6322no—
1412D4—6322no—
1413D4—6322no—
1414D4—6322no—
1415D4—6322no—
1416D4—6322no—
1417D4—6322no—
1418D4—6322no—
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—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—44no—
1461C2×C4—3164no—
1462C2×C4—3164no—
1463C2×C4—3164no—
1464C2×C4—3164no—
1465C2×C4—3164no—
1466C2×C4—3164no—
1467C2×C4—792no—
1468C2×C4—6322no—
1469C2×C4—6322no—
1470C2×C4—6322no—
1471C2×C4—6322no—
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—1581no—
1497C2×C4—1581no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4—1581no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4—1581no—
1504C2×C4#41×D7912yes—
1505C22—22no—
1506C22—22no—
1507C22—22no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—31616no—
1513C22—3161no—
1514C22—3161no—
1515C22—3161no—
1516C22—3161no—
1517C22—3161no—
1518C22—3161no—
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—3161no—
1535C22—3161no—
1536C22—3161no—
1537C22—3161no—
1538C22—3161no—
1539C22—1582no—
1540C22—1582no—
1541C22—1582no—
1542C22—1582no—
1543C22—1582no—
1544C22—1582no—
1545C22—1582no—
1546C22—1582no—
1547C22—1582no—
1548C22C2×#41×D7911yescharacteristic
1549C22H(5,𝔽2)×D7911yescharacteristic
1550C22H(5,𝔽2)×D7911yescharacteristic
1551C22C2×#1457920711yescharacteristic
1552C22#1909939911yescharacteristic
1553C22#1909940011yescharacteristic
1554C22#1909940011yescharacteristic
1555C4—22no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—3161no—
1570C4—3161no—
1571C4—3161no—
1572C4—3161no—
1573C4—3161no—
1574C4—3161no—
1575C4—3161no—
1576C4—3161no—
1577C4—3161no—
1578C4—3161no—
1579C4—1582no—
1580C2—42no—
1581C2—3162no—
1582C2—3162no—
1583C2—3162no—
1584C2—6321no—
1585C2—6321no—
1586C2#2377680811yescharacteristic
1587C2#2377734511yescharacteristic
1588C2#2377734711yescharacteristic
1589C2#2377755111yescharacteristic
1590C2#2377756611yescharacteristic
1591C2#2377757611yescharacteristic
1592C2#2377766511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2765C2
prime radical#23769615C2
hypercenter#2765D79
hypocenterC79#36840
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2765

Complements

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

NH ≅ G/Ntype
1. #23771695C2semidirect
2. #23771693C2semidirect
3. #23771345C2semidirect
4. #23770830C2semidirect
5. #23770778C2semidirect
6. #23770777C2semidirect
7. #23770587C2semidirect
8. #23770583C2semidirect
9. #23770146C2semidirect
10. #23770143C2semidirect
11. #23770132C2semidirect
12. #23770125C2semidirect
13. #23770122C2semidirect
14. #23769958C2semidirect
15. #23769782C2semidirect
16. #23769781C2semidirect
18. #23769468C2semidirect
19. #23769462C2semidirect
20. #23768186C2semidirect
21. #23768184C2semidirect
22. #23767341C2semidirect
23. #23767335C2semidirect
24. #23767310C2semidirect
25. #23767308C2semidirect
26. #23767136C2semidirect
27. #23767130C2semidirect
28. #23766123C2semidirect
29. #23766064C2semidirect
30. #23765901C2semidirect
31. C79×#2765C2semidirect
48. C2×#14579123C22semidirect
50. C2×C4⋊C4×D79C22semidirect
51. C79⋊#401C22semidirect
52. C79⋊#401C22semidirect
53. C79⋊#401C22semidirect
54. #19098504C22semidirect
55. #19098502C22semidirect
56. #19098501C22semidirect
57. #19098498C22semidirect
58. #19098498C22semidirect
59. #19098497C22semidirect
60. #19098497C22semidirect
62. #19098492C22semidirect
67. #19098489C22semidirect
71. #19098481C22semidirect
72. #19098481C22semidirect
77. #19098480C22semidirect
78. #19098480C22semidirect
84. #19098476C22semidirect
85. #19098476C22semidirect
86. #19098476C22semidirect
87. #19098476C22semidirect
93. #19098468C22semidirect
94. #19098467C22semidirect
95. #19098467C22semidirect
96. #19098467C22semidirect
98. #19098464C22semidirect
99. #19098458C22semidirect
101. #19098455C22semidirect
102. #19098455C22semidirect
105. #19098454C22semidirect
108. #19098453C22semidirect
109. #19098453C22semidirect
111. #19098452C22semidirect
112. #19098449C22semidirect
113. #19098448C22semidirect
114. #19098447C22semidirect
115. #19098446C22semidirect
116. #19098445C22semidirect
117. #19098444C22semidirect
134. #19098441C22semidirect
135. #19098441C22semidirect
136. #19098441C22semidirect
137. #19098441C22semidirect
138. #19098441C22semidirect
139. #19098441C22semidirect
148. #19098437C22semidirect
154. #19098434C22semidirect
155. #19098434C22semidirect
158. #19098425C22semidirect
159. #19098425C22semidirect
160. #19098425C22semidirect
162. #19098420C22semidirect
163. #19098420C22semidirect
168. C4×(C2×D79)⋊C4C22semidirect
171. #19098409C22semidirect
172. #401×C79C22semidirect
173. #400×C79C22semidirect
174. #398×C79C22semidirect
175. #398×C79C22semidirect
178. #389×C79C22semidirect
181. #387×C79C22semidirect
182. #387×C79C22semidirect
185. #382×C79C22semidirect
801. #2765D79semidirect
828. C79#36840semidirect
851. #401C2×D79semidirect
855. #400C2×D79semidirect
860. #398C2×D79semidirect
861. #398C2×D79semidirect
903. #389C2×D79semidirect
924. #387C2×D79semidirect
925. #387C2×D79semidirect
966. #382C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716952
#237716932
#237713452
#237708302
#237707782
#237707772
#237705872
#237705832
#237701462
#237701432
#237701322
#237701252
#237701222
#237699582
#237697822
#237697812
#237696152
#237694682
#237694622
#237681862
#237681842
#237673412
#237673352
#237673102
#237673082
#237671362
#237671302
#237661232
#237660642
#237659012
C79×#27652
#3684079