Finite Group Databasebeta

← #34495147

Subgroups — #34495147

Order 20224.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099179C211yesmaximal, characteristic, complemented
2C2×#19099071C211yesmaximal, characteristic, complemented
3#23771695C211yesmaximal, characteristic, complemented
4#23771688C211yesmaximal, characteristic, complemented
5#23769950C211yesmaximal, characteristic, complemented
6#23769898C211yesmaximal, characteristic, complemented
7#23769875C211yesmaximal, characteristic, complemented
8#23769856C211yesmaximal, characteristic, complemented
9#23769799C211yesmaximal, characteristic, complemented
10#23769798C211yesmaximal, characteristic, complemented
11#23769777C211yesmaximal, characteristic, complemented
12#23769717C211yesmaximal, characteristic, complemented
13#23769704C211yesmaximal, characteristic, complemented
14#23769685C211yesmaximal, characteristic, complemented
15#23769682C211yesmaximal, characteristic, complemented
16#23769651C211yesmaximal, characteristic, complemented
17#23769633C211yesmaximal, characteristic, complemented
18#23769624C211yesmaximal, characteristic, complemented
19#23769607C211yesmaximal, characteristic, complemented
20#23769325C211yesmaximal, characteristic, complemented
21#23769250C211yesmaximal, characteristic, complemented
22#23769073C211yesmaximal, characteristic, complemented
23#23769007C211yesmaximal, characteristic, complemented
24#23768974C211yesmaximal, characteristic, complemented
25#23768969C211yesmaximal, characteristic, complemented
26#23768760C211yesmaximal, characteristic, complemented
27#23768578C211yesmaximal, characteristic, complemented
28#23767023C211yesmaximal, characteristic, complemented
29#23767008C211yesmaximal, characteristic, complemented
30#23766028C211yesmaximal, characteristic, complemented
31C79×#2695C211yesmaximal, characteristic, complemented
32C22×#11929623C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34#19099179—28no—
35C2×#14579160C2211yescharacteristic, complemented
36C2×#14579160C2211yescharacteristic, complemented
37C2×#14579156C2211yescharacteristic
38C2×#14579149C2211yescharacteristic
39C2×#14579147C2211yescharacteristic
40C2×#14579147C2211yescharacteristic
41C2×#14579147C2211yescharacteristic, complemented
42#19099071—28no—
43C2×#14579146C2211yescharacteristic
44C2×#14579146C2211yescharacteristic
45C2×#14579145C2211yescharacteristic, complemented
46C2×#14579144C2211yescharacteristic
47C2×#14579141C2211yescharacteristic
48C2×#14579141C2211yescharacteristic
49C2×#14579140C2211yescharacteristic
50C2×#14579139C2211yescharacteristic
51C2×#14579139C2211yescharacteristic
52C2×#14579139C2211yescharacteristic, complemented
53C2×#14579138C2211yescharacteristic, complemented
54C2×#14579135C2211yescharacteristic, complemented
55C2×#14579134C2211yescharacteristic
56C2×#14579134C2211yescharacteristic
57C2×#14579134C2211yescharacteristic
58C2×#14579133C2211yescharacteristic
59C2×#14579131C2211yescharacteristic
60C2×#14579131C2211yescharacteristic
61C2×#14579129C2211yescharacteristic
62C2×C4×Dic158C2211yescharacteristic, complemented
63C2×#14579123C2211yescharacteristic
64C2×#14579123C2211yescharacteristic
65C2×(C22⋊D79)⋊C4C2211yescharacteristic
66C2×(C22⋊D79)⋊C4C2211yescharacteristic
67C2×#14579119C2211yescharacteristic, complemented
68C2×#14579117C2211yescharacteristic
69#19098504C2211yescharacteristic, complemented
70#19098498C2211yescharacteristic
71#19098498C2211yescharacteristic
72#19098498C2211yescharacteristic, complemented
73#19098498C2211yescharacteristic, complemented
74#19098497C2211yescharacteristic, complemented
75#19098496C2211yescharacteristic, complemented
76#19098492C2211yescharacteristic
77#19098492C2211yescharacteristic
78#19098492C2211yescharacteristic
79#19098491C2211yescharacteristic
80#19098489C2211yescharacteristic, complemented
81#19098485C2211yescharacteristic, complemented
82#19098485C2211yescharacteristic, complemented
83#19098485C2211yescharacteristic, complemented
84#19098484C2211yescharacteristic, complemented
85#19098483C2211yescharacteristic, complemented
86#19098483C2211yescharacteristic, complemented
87#19098483C2211yescharacteristic, complemented
88#19098481C2211yescharacteristic
89#19098480C2211yescharacteristic
90#19098480C2211yescharacteristic
91#19098480C2211yescharacteristic
92#19098480C2211yescharacteristic
93#19098480C2211yescharacteristic, complemented
94#19098479C2211yescharacteristic
95#19098479C2211yescharacteristic
96#19098479C2211yescharacteristic, complemented
97#19098478C2211yescharacteristic
98#19098478C2211yescharacteristic, complemented
99#19098478C2211yescharacteristic, complemented
100#19098477C2211yescharacteristic
101#19098476C2211yescharacteristic
102#19098476C2211yescharacteristic
103#19098476C2211yescharacteristic, complemented
104#19098476C2211yescharacteristic, complemented
105#19098476C2211yescharacteristic, complemented
106#19098475C2211yescharacteristic
107#19098473C2211yescharacteristic
108#19098473C2211yescharacteristic
109#19098472C2211yescharacteristic
110#19098472C2211yescharacteristic
111#19098467C2211yescharacteristic, complemented
112#19098465C2211yescharacteristic
113#19098464C2211yescharacteristic
114#19098464C2211yescharacteristic
115#19098463C2211yescharacteristic
116#19098460C2211yescharacteristic, complemented
117#19098459C2211yescharacteristic, complemented
118#19098457C2211yescharacteristic
119#19098455C2211yescharacteristic
120#19098455C2211yescharacteristic
121#19098453C2211yescharacteristic
122#19098452C2211yescharacteristic
123#19098452C2211yescharacteristic, complemented
124#19098452C2211yescharacteristic, complemented
125#19098452C2211yescharacteristic, complemented
126#19098451C2211yescharacteristic
127#19098450C2211yescharacteristic, complemented
128#19098449C2211yescharacteristic, complemented
129#19098449C2211yescharacteristic, complemented
130#19098448C2211yescharacteristic, complemented
131#19098447C2211yescharacteristic, complemented
132#19098446C2211yescharacteristic, complemented
133#19098445C2211yescharacteristic, complemented
134#19098444C2211yescharacteristic, complemented
135#19098442C2211yescharacteristic
136#19098442C2211yescharacteristic
137#19098442C2211yescharacteristic
138#19098441C2211yescharacteristic
139#19098441C2211yescharacteristic
140#19098441C2211yescharacteristic
141#19098441C2211yescharacteristic, complemented
142#19098441C2211yescharacteristic, complemented
143#19098440C2211yescharacteristic
144#19098440C2211yescharacteristic
145#19098440C2211yescharacteristic
146#19098440C2211yescharacteristic, complemented
147#19098439C2211yescharacteristic
148#19098438C2211yescharacteristic
149#19098438C2211yescharacteristic
150#19098438C2211yescharacteristic, complemented
151#19098437C2211yescharacteristic
152#19098437C2211yescharacteristic
153#19098437C2211yescharacteristic
154#19098437C2211yescharacteristic
155#19098437C2211yescharacteristic, complemented
156#19098437C2211yescharacteristic, complemented
157#19098435C2211yescharacteristic
158#19098434C2211yescharacteristic
159#19098434C2211yescharacteristic
160#19098434C2211yescharacteristic, complemented
161#19098434C2211yescharacteristic, complemented
162#19098430C2211yescharacteristic, complemented
163#19098428C2211yescharacteristic, complemented
164#19098425C2211yescharacteristic
165#19098425C2211yescharacteristic
166#19098421C2211yescharacteristic, complemented
167#19098420C2211yescharacteristic
168#19098420C2211yescharacteristic
169#19098418C2211yescharacteristic
170#19098418C2211yescharacteristic
171#19098418C2211yescharacteristic
172C22⋊C4×Dic79C2211yescharacteristic, complemented
173C2×C79⋊#95C2211yescharacteristic, complemented
174C2×#126×C79C2211yescharacteristic, complemented
175C2×#123×C79C2211yescharacteristic
176#400×C79C2211yescharacteristic, complemented
177#398×C79C2211yescharacteristic, complemented
178#398×C79C2211yescharacteristic, complemented
179#397×C79C2211yescharacteristic, complemented
180#396×C79C2211yescharacteristic
181#394×C79C2211yescharacteristic
182#389×C79C2211yescharacteristic, complemented
183#388×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic
185#385×C79C2211yescharacteristic
186#385×C79C2211yescharacteristic, complemented
187#380×C79C2211yescharacteristic
188#380×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C2×#11929623—24no—
191C2×#11929623—42no—
192C2×#11929623—42no—
193C22×Dic158C2311yescharacteristic
194C22×Dic158C2311yescharacteristic
195C22×Dic158C2311yescharacteristic
196C22×Dic158C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C22×D316C2311yescharacteristic
200C22×D316C2311yescharacteristic
201C22×D316C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C22×C22⋊D79C2311yescharacteristic
206C22×C22⋊D79C2311yescharacteristic
207C22×C22⋊D79C2311yescharacteristic
208C23×Dic79C2311yescharacteristic
209C23×Dic79C2311yescharacteristic
210C23×Dic79C2311yescharacteristic
211C22×C4×D79—24no—
212C22×C4×D79—42no—
213C22×C4×D79—42no—
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219C22×C4×D79C2311yescharacteristic
220#14579160—24no—
221#14579160—42no—
222#14579156—24no—
223#14579149—24no—
224#14579147—24no—
225#14579147—24no—
226#14579147—42no—
227#14579146—24no—
228#14579146—42no—
229#14579145—24no—
230#14579144—24no—
231#14579141—24no—
232#14579141—42no—
233#14579140—42no—
234#14579139—24no—
235#14579139—24no—
236#14579139—24no—
237#14579138—24no—
238#14579135—42no—
239#14579134—24no—
240#14579134—24no—
241#14579134—24no—
242#14579133—42no—
243#14579131—24no—
244#14579131—42no—
245#14579129—24no—
246C4×Dic158—24no—
247#14579123—24no—
248#14579123—24no—
249(C22⋊D79)⋊C4—24no—
250(C22⋊D79)⋊C4D418yescomplemented
251#14579119—24no—
252#14579117—24no—
253C2×C4⋊Dic79C2311yescharacteristic
254C2×C4⋊Dic79C2311yescharacteristic
255C2×C4⋊Dic79C2311yescharacteristic
256C2×C4⋊Dic79C2311yescharacteristic
257C2×C4⋊Dic79C2311yescharacteristic
258C2×C4⋊Dic79C2311yescharacteristic
259C2×C4⋊Dic79C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C2×Dic79⋊C4C2311yescharacteristic
267C2×Dic79⋊C4C2311yescharacteristic
268C2×Dic79⋊C4C2311yescharacteristic
269C2×Dic79⋊C4C2311yescharacteristic
270C2×Dic79⋊C4C2311yescharacteristic
271C2×Dic79⋊C4C2311yescharacteristic
272C2×Dic79⋊C4C2311yescharacteristic
273C2×Dic79⋊C4C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
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×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C2×(C2×D79)⋊C4C2311yescharacteristic
312C2×(C2×D79)⋊C4C2311yescharacteristic
313C2×(C2×D79)⋊C4C2311yescharacteristic
314C2×(C2×D79)⋊C4C2311yescharacteristic
315C2×(C2×D79)⋊C4C2311yescharacteristic
316C2×C4×Dic79C2311yescharacteristic
317C2×C4×Dic79C2311yescharacteristic
318C2×C4×Dic79C2311yescharacteristic
319C2×C4×Dic79C2311yescharacteristic
320C2×C4×Dic79C2311yescharacteristic
321C2×C4×Dic79C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C79⋊#95C2311yescharacteristic
347C79⋊#95C2311yescharacteristic
348C22×D4×C79C2311yescharacteristic
349C23×C4×C79C2311yescharacteristic
350C23×C4×C79C2311yescharacteristic
351#126×C79—24no—
352#123×C79—24no—
353C2×C4⋊C4×C79C2311yescharacteristic
354C2×C4⋊C4×C79C2311yescharacteristic
355C2×C4⋊C4×C79C2311yescharacteristic
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C4⋊C4×C79C2311yescharacteristic
358C2×C4⋊C4×C79C2311yescharacteristic
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C4⋊C4×C79C2311yescharacteristic
361C2×C4⋊C4×C79C2311yescharacteristic
362C2×C4⋊C4×C79C2311yescharacteristic
363C2×C4⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C42×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376#95×C79C2311yescharacteristic
377#95×C79C2311yescharacteristic
378#95×C79C2311yescharacteristic
379#95×C79C2311yescharacteristic
380#95×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385C23×D79—22no—
386C23×D79—22no—
387C23×D79—22no—
388C23×D79—41no—
389C23×D79—41no—
390C23×D79—41no—
391C23×D79—41no—
392C23×D79C2411yescharacteristic
393C23×D79C2411yescharacteristic
394C23×D79C2411yescharacteristic
395C23×D79C2411yescharacteristic
396#11929623—416no—
397C2×Dic158—22no—
398C2×Dic158—22no—
399C2×Dic158—22no—
400C2×Dic158—22no—
401C2×Dic158—22no—
402C2×Dic158—41no—
403C2×Dic158—41no—
404C2×Dic158—41no—
405C2×Dic158—41no—
406C2×Dic158—41no—
407C2×Dic158—41no—
408C2×Dic158—41no—
409C2×D316—22no—
410C2×D316—22no—
411C2×D316—22no—
412C2×D316—22no—
413C2×D316—22no—
414C2×D316—41no—
415C2×D316—41no—
416C2×D316—41no—
417C2×D316—41no—
418C2×D316—41no—
419C2×D316—41no—
420C2×D316—41no—
421C2×D316—41no—
422C2×D316—41no—
423C2×D316—41no—
424C2×C22⋊D79—22no—
425C2×C22⋊D79—22no—
426C2×C22⋊D79—22no—
427C2×C22⋊D79—22no—
428C2×C22⋊D79—22no—
429C2×C22⋊D79—22no—
430C2×C22⋊D79—22no—
431C2×C22⋊D79—22no—
432C2×C22⋊D79—41no—
433C2×C22⋊D79—41no—
434C2×C22⋊D79—41no—
435C2×C22⋊D79—41no—
436C2×C22⋊D79—41no—
437C2×C22⋊D79—41no—
438C2×C22⋊D79—41no—
439C2×C22⋊D79—41no—
440C2×C22⋊D79—41no—
441C2×C22⋊D79C2×D414yes—
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×Dic79C2×D414yes—
451C22×Dic79C2411yescharacteristic
452C22×Dic79C2411yescharacteristic
453C22×Dic79C2411yescharacteristic
454C22×Dic79C2411yescharacteristic
455C22×Dic79C2411yescharacteristic
456C22×Dic79C2411yescharacteristic
457C22×Dic79C2411yescharacteristic
458C22×Dic79C2411yescharacteristic
459C22×Dic79C2411yescharacteristic
460C22×Dic79C2411yescharacteristic
461C22×Dic79C2411yescharacteristic
462C22×Dic79C2411yescharacteristic
463C2×C4×D79—22no—
464C2×C4×D79—22no—
465C2×C4×D79—22no—
466C2×C4×D79—22no—
467C2×C4×D79—22no—
468C2×C4×D79—22no—
469C2×C4×D79—22no—
470C2×C4×D79—41no—
471C2×C4×D79—41no—
472C2×C4×D79—41no—
473C2×C4×D79—41no—
474C2×C4×D79—41no—
475C2×C4×D79—41no—
476C2×C4×D79—41no—
477C2×C4×D79—41no—
478C2×C4×D79—41no—
479C2×C4×D79—41no—
480C2×C4×D79—416no—
481C2×C4×D79C2×D414yes—
482C4⋊Dic79—22no—
483C4⋊Dic79—22no—
484C4⋊Dic79—22no—
485C4⋊Dic79—22no—
486C4⋊Dic79—22no—
487C4⋊Dic79—41no—
488C4⋊Dic79—41no—
489Dic79⋊C4—22no—
490Dic79⋊C4—22no—
491Dic79⋊C4—22no—
492Dic79⋊C4—22no—
493Dic79⋊C4—22no—
494Dic79⋊C4—22no—
495Dic79⋊C4—22no—
496Dic79⋊C4—41no—
497Dic79⋊C4—41no—
498Dic79⋊C4—41no—
499Dic79⋊C4—41no—
500Dic79⋊C4—41no—
501Dic79⋊C4—41no—
502Dic79⋊C4C2×D414yes—
503C22⋊Dic79—22no—
504C22⋊Dic79—22no—
505C22⋊Dic79—22no—
506C22⋊Dic79—22no—
507C22⋊Dic79—41no—
508C22⋊Dic79—41no—
509(C2×D79)⋊C4—22no—
510(C2×D79)⋊C4—22no—
511(C2×D79)⋊C4—22no—
512(C2×D79)⋊C4—22no—
513(C2×D79)⋊C4—22no—
514(C2×D79)⋊C4—22no—
515(C2×D79)⋊C4—22no—
516(C2×D79)⋊C4—22no—
517(C2×D79)⋊C4—22no—
518(C2×D79)⋊C4—22no—
519(C2×D79)⋊C4—22no—
520(C2×D79)⋊C4—22no—
521(C2×D79)⋊C4—22no—
522(C2×D79)⋊C4—22no—
523(C2×D79)⋊C4—41no—
524(C2×D79)⋊C4—41no—
525(C2×D79)⋊C4—41no—
526(C2×D79)⋊C4—41no—
527(C2×D79)⋊C4—41no—
528(C2×D79)⋊C4—41no—
529(C2×D79)⋊C4—41no—
530(C2×D79)⋊C4—41no—
531(C2×D79)⋊C4—41no—
532(C2×D79)⋊C4—41no—
533(C2×D79)⋊C4—41no—
534(C2×D79)⋊C4—41no—
535(C2×D79)⋊C4—41no—
536(C2×D79)⋊C4—41no—
537(C2×D79)⋊C4—41no—
538(C2×D79)⋊C4—41no—
539(C2×D79)⋊C4—41no—
540(C2×D79)⋊C4—41no—
541(C2×D79)⋊C4—41no—
542(C2×D79)⋊C4—41no—
543(C2×D79)⋊C4—41no—
544(C2×D79)⋊C4C2×D414yes—
545C4×Dic79—22no—
546C4×Dic79—22no—
547C4×Dic79—22no—
548C4×Dic79—41no—
549C4×Dic79—41no—
550C4×Dic79C2×D414yes—
551C24×C79C2411yescharacteristic
552C24×C79C2411yescharacteristic
553C2×D4×C79—22no—
554C2×D4×C79—22no—
555C2×D4×C79—41no—
556C22×C4×C79—22no—
557C22×C4×C79—22no—
558C22×C4×C79—41no—
559C22×C4×C79—41no—
560C22×C4×C79—41no—
561C22×C4×C79—41no—
562C22×C4×C79C2411yescharacteristic
563C22×C4×C79C2411yescharacteristic
564C22×C4×C79C2411yescharacteristic
565C22×C4×C79C2411yescharacteristic
566C22×C4×C79C2411yescharacteristic
567C22×C4×C79C2411yescharacteristic
568C22×C4×C79C2411yescharacteristic
569C22×C4×C79C2411yescharacteristic
570C22×C4×C79C2411yescharacteristic
571C22×C4×C79C2411yescharacteristic
572C22×C4×C79C2411yescharacteristic
573C22×C4×C79C2411yescharacteristic
574C22×C4×C79C2411yescharacteristic
575C4⋊C4×C79—22no—
576C4⋊C4×C79—22no—
577C4⋊C4×C79—22no—
578C4⋊C4×C79—22no—
579C4⋊C4×C79—22no—
580C4⋊C4×C79—41no—
581C4⋊C4×C79—41no—
582C4⋊C4×C79—41no—
583C4⋊C4×C79—41no—
584C4⋊C4×C79—41no—
585C4⋊C4×C79—41no—
586C22⋊C4×C79—22no—
587C22⋊C4×C79—22no—
588C22⋊C4×C79—22no—
589C22⋊C4×C79—22no—
590C22⋊C4×C79—22no—
591C22⋊C4×C79—41no—
592C22⋊C4×C79—41no—
593C22⋊C4×C79—41no—
594C22⋊C4×C79—41no—
595C22⋊C4×C79C2×D414yes—
596C42×C79—22no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79C22×D412yes—
610C23×C79H(5,𝔽2)12yes—
611C23×C79C2511yescharacteristic
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—21no—
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—21no—
631C22×D79—21no—
632C22×D79—21no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—21no—
636C22×D79—21no—
637C22×D79—21no—
638C22×D79—44no—
639C22×D79—44no—
640C22×D79—44no—
641C22×D79—44no—
642C22×D79—44no—
643C22×D79—44no—
644C22×D79—44no—
645C22×D79C22×D412yes—
646C22×D792−1+412yes—
647D4×C79—44no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—44no—
686C2×C4×C79—82no—
687C2×C4×C79C22×D412yes—
688C2×C4×C79C22×D412yes—
689C22⋊D79—44no—
690C22⋊D79—44no—
691C22⋊D79—44no—
692C22⋊D79—44no—
693C22⋊D79—82no—
694C22⋊D79—82no—
695C2×Dic79—28no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—44no—
729C2×Dic79—82no—
730C2×Dic79C22×D412yes—
731C2×Dic79C22×D412yes—
732C2×Dic79C22×D412yes—
733C2×Dic79H(5,𝔽2)12yes—
734D316—44no—
735D316—44no—
736D316—82no—
737D316—82no—
738D316—82no—
739C4×D79—44no—
740C4×D79—44no—
741C4×D79—44no—
742C4×D79—44no—
743C4×D79—44no—
744C4×D79—44no—
745Dic158—44no—
746Dic158—44no—
747Dic158—82no—
748Dic158—82no—
749C22×C79—22no—
750C22×C79—22no—
751C22×C79—22no—
752C22×C79—22no—
753C22×C79—22no—
754C22×C79—22no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79—41no—
759C22×C79—41no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79C23×D411yescharacteristic
764C22×C79C2×H(5,𝔽2)11yescharacteristic
765C22×C79C2×H(5,𝔽2)11yescharacteristic
766C22×C79C2×2−1+411yescharacteristic
767C22×C79#58511yescharacteristic
768C22×C79#58511yescharacteristic
769C22×C79#58511yescharacteristic
770C2×D79—22no—
771C2×D79—22no—
772C2×D79—22no—
773C2×D79—22no—
774C2×D79—22no—
775C2×D79—22no—
776C2×D79—416no—
777C2×D79—41no—
778C2×D79—41no—
779C2×D79—41no—
780C2×D79—41no—
781C2×D79—41no—
782C2×D79—41no—
783C2×D79—41no—
784C2×D79—41no—
785C2×D79—41no—
786C2×D79—41no—
787C2×D79—41no—
788C2×D79—41no—
789C2×D79—41no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—41no—
797C2×D79—41no—
798C2×D79—41no—
799C4×C79—22no—
800C4×C79—22no—
801C4×C79—41no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79—41no—
809C4×C79—41no—
810C4×C79—41no—
811C4×C79—41no—
812Dic79—22no—
813Dic79—22no—
814Dic79—22no—
815Dic79—22no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823Dic79—41no—
824#36712—791nomaximal, Sylow
825C2×C79—42no—
826C2×C79—42no—
827C2×C79#344911yescharacteristic
828C2×C79#348411yescharacteristic
829C2×C79#348911yescharacteristic
830C2×C79#353311yescharacteristic
831C2×C79#353511yescharacteristic
832C2×C79#354011yescharacteristic
833C2×C79#354111yescharacteristic
834D79—42no—
835D79—42no—
836D79—81no—
837D79—81no—
838C2×#542—791no—
839C2×#525—791no—
840#2849—791no—
841#2848—791no—
842#2696—791no—
843#2695D7911yescharacteristic, complemented
844#2692—791no—
845#2691—791no—
846#2689—791no—
847#2686—791no—
848#2685—791no—
849#2684—791no—
850#2677—791no—
851#2676—791no—
852#2674—791no—
853#2674—791no—
854#2672—791no—
855#2671—791no—
856#2670—791no—
857#2668—791no—
858#2638—791no—
859#2630—791no—
860#2609—791no—
861#2602—791no—
862#2599—791no—
863#2598—791no—
864#2580—791no—
865#2564—791no—
866#2432—791no—
867#2430—791no—
868#2318—791no—
869C79#3671211yescharacteristic, complemented, Sylow
870C22×#41—791no—
871C24×C4—791no—
872#542—1588no—
873C2×C4⋊Q8—791no—
874C2×C4⋊Q8—791no—
875C2×#126—791no—
876C2×#126C2×D7911yescharacteristic, complemented
877C2×#124—791no—
878C2×#124—791no—
879C2×#124—791no—
880C2×#124—791no—
881#525—1588no—
882C2×#123—791no—
883C2×#123—791no—
884C2×#123—791no—
885C2×#123—791no—
886C2×#123C2×D7911yescharacteristic
887C2×C22⋊Q8—791no—
888C2×C22⋊Q8—791no—
889C2×C22⋊Q8—791no—
890C2×C22⋊Q8—791no—
891C2×C22⋊Q8—791no—
892C2×C22⋊Q8—791no—
893C2×C22⋊Q8—791no—
894C2×#121—791no—
895C2×#121—791no—
896C2×#121—791no—
897C2×#121—791no—
898C2×#121—791no—
899C2×#120—791no—
900C2×#120—791no—
901C2×#120—791no—
902C2×C4×Q8—791no—
903C2×C4×D4—791no—
904C2×C4×D4—791no—
905C2×C4×D4—791no—
906C2×C4×D4—791no—
907C2×#117—791no—
908C2×#117—791no—
909#400—791no—
910#400C2×D7911yescharacteristic, complemented
911#399—791no—
912#399—791no—
913#399—791no—
914#399—791no—
915#398—791no—
916#398—791no—
917#398C2×D7911yescharacteristic, complemented
918#398C2×D7911yescharacteristic, complemented
919#397—791no—
920#397—791no—
921#397—791no—
922#397—791no—
923#397—791no—
924#397C2×D7911yescharacteristic, complemented
925#396—791no—
926#396—791no—
927#396—791no—
928#396C2×D7911yescharacteristic
929#395—791no—
930#395—791no—
931#395—791no—
932#395—791no—
933#394—791no—
934#394—791no—
935#394—791no—
936#394—791no—
937#394—791no—
938#394—791no—
939#394—791no—
940#394—791no—
941#394—791no—
942#394—791no—
943#394—791no—
944#394—791no—
945#394—791no—
946#394C2×D7911yescharacteristic
947#393—791no—
948#393—791no—
949#393—791no—
950#393—791no—
951#393—791no—
952#393—791no—
953#392—791no—
954#392—791no—
955#392—791no—
956#392—791no—
957#391—791no—
958#390—791no—
959#390—791no—
960#390—791no—
961#390—791no—
962#389—791no—
963#389—791no—
964#389C2×D7911yescharacteristic, complemented
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388—791no—
970#388—791no—
971#388—791no—
972#388—791no—
973#388—791no—
974#388C2×D7911yescharacteristic
975#387—791no—
976#387—791no—
977#387—791no—
978#387—791no—
979#387—791no—
980#387—791no—
981#387—791no—
982#387—791no—
983#386—791no—
984#386—791no—
985#386—791no—
986#386—791no—
987#386—791no—
988#386—791no—
989#386—791no—
990#386—791no—
991#386—791no—
992#386—791no—
993#386—791no—
994#386—791no—
995#386—791no—
996#386C2×D7911yescharacteristic
997#385—791no—
998#385—791no—
999#385—791no—
1000#385—791no—
1001#385—791no—
1002#385—791no—
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385—791no—
1007#385—791no—
1008#385—791no—
1009#385—791no—
1010#385—791no—
1011#385C2×D7911yescharacteristic
1012#385C2×D7911yescharacteristic, complemented
1013#383—791no—
1014#382—791no—
1015#381—791no—
1016#381—791no—
1017#380—791no—
1018#380—791no—
1019#380—791no—
1020#380C2×D7911yescharacteristic
1021#380C2×D7911yescharacteristic, complemented
1022#379—791no—
1023#379—791no—
1024#379—791no—
1025C4×C22⋊C4—791no—
1026C2×#95—791no—
1027C25—791no—
1028C2×#41—3162no—
1029C2×#41—3162no—
1030C2×#41—1584no—
1031C22×Q8—791no—
1032C22×Q8—791no—
1033C22×Q8—791no—
1034C22×Q8—791no—
1035C22×D4—791no—
1036C22×D4—791no—
1037C22×D4—791no—
1038C22×D4—791no—
1039C22×D4—791no—
1040C22×D4—791no—
1041C22×D4—791no—
1042C22×D4—791no—
1043C22×D4—791no—
1044C22×D4—791no—
1045C22×D4—791no—
1046C22×D4C22×D7911yescharacteristic
1047C23×C4—3162no—
1048C23×C4—3162no—
1049C23×C4—791no—
1050C23×C4—791no—
1051C23×C4—791no—
1052C23×C4—791no—
1053C23×C4—791no—
1054C23×C4—791no—
1055C23×C4—791no—
1056C23×C4—791no—
1057C23×C4—791no—
1058C23×C4—1584no—
1059C23×C4C22×D7911yescharacteristic
1060C23×C4C22×D7911yescharacteristic
1061C4⋊Q8—3162no—
1062C4⋊Q8—1584no—
1063#126—24no—
1064#126—1584no—
1065#124—3162no—
1066#124—1584no—
1067#124—1584no—
1068#124—1584no—
1069#123—24no—
1070#123—3162no—
1071#123—1584no—
1072#123—1584no—
1073#123—1584no—
1074C22⋊Q8—3162no—
1075C22⋊Q8—3162no—
1076C22⋊Q8—1584no—
1077C22⋊Q8—1584no—
1078C22⋊Q8—1584no—
1079C22⋊Q8—1584no—
1080C22⋊Q8—1584no—
1081#121—3162no—
1082#121—3162no—
1083#121—1584no—
1084#121—1584no—
1085#121—1584no—
1086#120—3162no—
1087#120—1584no—
1088#120—1584no—
1089C4×Q8—1584no—
1090C4×D4—798no—
1091C4×D4—1584no—
1092C4×D4—1584no—
1093C4×D4—1584no—
1094#117—1584no—
1095#117—1584no—
1096C2×C4⋊C4—791no—
1097C2×C4⋊C4—791no—
1098C2×C4⋊C4—791no—
1099C2×C4⋊C4—791no—
1100C2×C4⋊C4—791no—
1101C2×C4⋊C4—791no—
1102C2×C4⋊C4—791no—
1103C2×C4⋊C4—791no—
1104C2×C4⋊C4—791no—
1105C2×C4⋊C4—791no—
1106C2×C4⋊C4—791no—
1107C2×C4⋊C4—791no—
1108C2×C4⋊C4—791no—
1109C2×C4⋊C4—791no—
1110C2×C4⋊C4—791no—
1111C2×C4⋊C4—791no—
1112C2×C4⋊C4—791no—
1113C2×C4⋊C4—791no—
1114C2×C4⋊C4—791no—
1115C2×C4⋊C4—791no—
1116C2×C4⋊C4—791no—
1117C2×C4⋊C4C22×D7911yescharacteristic
1118C2×C4⋊C4C22×D7911yescharacteristic
1119C2×C4⋊C4C22×D7911yescharacteristic
1120C2×C4⋊C4C22×D7911yescharacteristic
1121C2×C4⋊C4C22×D7911yescharacteristic
1122C2×C4⋊C4C22×D7911yescharacteristic
1123C2×C4⋊C4C22×D7911yescharacteristic
1124C2×C4⋊C4C22×D7911yescharacteristic
1125C2×C4⋊C4C22×D7911yescharacteristic
1126C2×C4⋊C4C22×D7911yescharacteristic
1127C2×C4⋊C4C22×D7911yescharacteristic
1128C2×C22⋊C4—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4—791no—
1140C2×C22⋊C4—791no—
1141C2×C22⋊C4—791no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
1144C2×C22⋊C4—791no—
1145C2×C22⋊C4—791no—
1146C2×C22⋊C4—791no—
1147C2×C22⋊C4—791no—
1148C2×C22⋊C4—791no—
1149C2×C22⋊C4—791no—
1150C2×C22⋊C4—791no—
1151C2×C22⋊C4—791no—
1152C2×C22⋊C4—791no—
1153C2×C22⋊C4—791no—
1154C2×C22⋊C4—791no—
1155C2×C22⋊C4—791no—
1156C2×C22⋊C4—791no—
1157C2×C22⋊C4—791no—
1158C2×C22⋊C4—791no—
1159C2×C22⋊C4—791no—
1160C2×C22⋊C4—791no—
1161C2×C22⋊C4—791no—
1162C2×C22⋊C4—791no—
1163C2×C22⋊C4—791no—
1164C2×C22⋊C4—791no—
1165C2×C22⋊C4—791no—
1166C2×C22⋊C4—791no—
1167C2×C22⋊C4—791no—
1168C2×C22⋊C4—791no—
1169C2×C22⋊C4—791no—
1170C2×C22⋊C4C22×D7911yescharacteristic
1171C2×C22⋊C4C22×D7911yescharacteristic
1172C2×C22⋊C4C22×D7911yescharacteristic
1173C2×C22⋊C4C22×D7911yescharacteristic
1174C2×C22⋊C4C22×D7911yescharacteristic
1175C2×C22⋊C4C22×D7911yescharacteristic
1176C2×C22⋊C4C22×D7911yescharacteristic
1177C2×C22⋊C4C22×D7911yescharacteristic
1178C2×C22⋊C4C22×D7911yescharacteristic
1179C2×C22⋊C4C22×D7911yescharacteristic
1180C2×C42—791no—
1181C2×C42—791no—
1182C2×C42—791no—
1183C2×C42—791no—
1184C2×C42—791no—
1185C2×C42—791no—
1186C2×C42C22×D7911yescharacteristic
1187#95—791no—
1188#95—791no—
1189#95—791no—
1190#95—791no—
1191#95—791no—
1192#95—791no—
1193#95—791no—
1194#95—791no—
1195#95—791no—
1196#95—791no—
1197#95—791no—
1198#95—791no—
1199#95—791no—
1200#95—791no—
1201#95—791no—
1202#95—791no—
1203#95—791no—
1204#95—791no—
1205#95—791no—
1206#95—791no—
1207#95—791no—
1208#95—791no—
1209#95—791no—
1210#95—791no—
1211#95—791no—
1212#95—791no—
1213#95C22×D7911yescharacteristic
1214#95C22×D7911yescharacteristic
1215#95C22×D7911yescharacteristic
1216#95C22×D7911yescharacteristic
1217#95C22×D7911yescharacteristic
1218#95C22×D7911yescharacteristic
1219#95C22×D7911yescharacteristic
1220#95C22×D7911yescharacteristic
1221#95C22×D7911yescharacteristic
1222#95C22×D7911yescharacteristic
1223C24—3161no—
1224C24—3161no—
1225C24—3161no—
1226C24—3161no—
1227C24—791no—
1228C24—791no—
1229C24—791no—
1230C24—791no—
1231C24—1582no—
1232C24—1582no—
1233C24—1582no—
1234C24C23×D7911yescharacteristic
1235C24C23×D7911yescharacteristic
1236#41—31616no—
1237C2×Q8—3161no—
1238C2×Q8—3161no—
1239C2×Q8—3161no—
1240C2×Q8—3161no—
1241C2×Q8—3161no—
1242C2×Q8—3161no—
1243C2×Q8—3161no—
1244C2×Q8—1582no—
1245C2×Q8—1582no—
1246C2×Q8—1582no—
1247C2×Q8—1582no—
1248C2×Q8—1582no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—41no—
1252C2×D4—3161no—
1253C2×D4—3161no—
1254C2×D4—3161no—
1255C2×D4—3161no—
1256C2×D4—3161no—
1257C2×D4—3161no—
1258C2×D4—3161no—
1259C2×D4—3161no—
1260C2×D4—3161no—
1261C2×D4—3161no—
1262C2×D4—3161no—
1263C2×D4—3161no—
1264C2×D4—3161no—
1265C2×D4—3161no—
1266C2×D4—3161no—
1267C2×D4—3161no—
1268C2×D4—3161no—
1269C2×D4—3161no—
1270C2×D4—3161no—
1271C2×D4—794no—
1272C2×D4—1582no—
1273C2×D4—1582no—
1274C2×D4—1582no—
1275C2×D4—1582no—
1276C2×D4—1582no—
1277C2×D4—1582no—
1278C2×D4—1582no—
1279C2×D4—1582no—
1280C2×D4—1582no—
1281C2×D4—1582no—
1282C2×D4—1582no—
1283C2×D4—1582no—
1284C2×D4—1582no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—3161no—
1292C22×C4—3161no—
1293C22×C4—3161no—
1294C22×C4—3161no—
1295C22×C4—3161no—
1296C22×C4—3161no—
1297C22×C4—3161no—
1298C22×C4—3161no—
1299C22×C4—3161no—
1300C22×C4—3161no—
1301C22×C4—31616no—
1302C22×C4—3161no—
1303C22×C4—3161no—
1304C22×C4—3161no—
1305C22×C4—3161no—
1306C22×C4—3161no—
1307C22×C4—794no—
1308C22×C4—794no—
1309C22×C4—791no—
1310C22×C4—791no—
1311C22×C4—791no—
1312C22×C4—791no—
1313C22×C4—791no—
1314C22×C4—791no—
1315C22×C4—791no—
1316C22×C4—791no—
1317C22×C4—791no—
1318C22×C4—791no—
1319C22×C4—791no—
1320C22×C4—791no—
1321C22×C4—1582no—
1322C22×C4—1582no—
1323C22×C4—1582no—
1324C22×C4—1582no—
1325C22×C4—1582no—
1326C22×C4—1582no—
1327C22×C4—1582no—
1328C22×C4—1582no—
1329C22×C4—1582no—
1330C22×C4—1582no—
1331C22×C4C23×D7911yescharacteristic
1332C22×C4C23×D7911yescharacteristic
1333C22×C4C23×D7911yescharacteristic
1334C22×C4C23×D7911yescharacteristic
1335C22×C4C23×D7911yescharacteristic
1336C22×C4C23×D7911yescharacteristic
1337C22×C4C23×D7911yescharacteristic
1338C22×C4C23×D7911yescharacteristic
1339C22×C4C23×D7911yescharacteristic
1340C22×C4C23×D7911yescharacteristic
1341C22×C4C23×D7911yescharacteristic
1342C22×C4C23×D7911yescharacteristic
1343C22×C4C23×D7911yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—3161no—
1356C4⋊C4—3161no—
1357C4⋊C4—3161no—
1358C4⋊C4—3161no—
1359C4⋊C4—3161no—
1360C4⋊C4—3161no—
1361C4⋊C4—3161no—
1362C4⋊C4—3161no—
1363C4⋊C4—794no—
1364C4⋊C4—1582no—
1365C4⋊C4—1582no—
1366C4⋊C4—1582no—
1367C4⋊C4—1582no—
1368C4⋊C4—1582no—
1369C4⋊C4—1582no—
1370C4⋊C4—1582no—
1371C4⋊C4—1582no—
1372C4⋊C4—1582no—
1373C4⋊C4—1582no—
1374C4⋊C4—1582no—
1375C4⋊C4—1582no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—3161no—
1386C22⋊C4—3161no—
1387C22⋊C4—3161no—
1388C22⋊C4—3161no—
1389C22⋊C4—3161no—
1390C22⋊C4—3161no—
1391C22⋊C4—3161no—
1392C22⋊C4—3161no—
1393C22⋊C4—3161no—
1394C22⋊C4—3161no—
1395C22⋊C4—3161no—
1396C22⋊C4—3161no—
1397C22⋊C4—3161no—
1398C22⋊C4—3161no—
1399C22⋊C4—3161no—
1400C22⋊C4—3161no—
1401C22⋊C4—3161no—
1402C22⋊C4—3161no—
1403C22⋊C4—3161no—
1404C22⋊C4—3161no—
1405C22⋊C4—3161no—
1406C22⋊C4—3161no—
1407C22⋊C4—3161no—
1408C22⋊C4—794no—
1409C22⋊C4—1582no—
1410C22⋊C4—1582no—
1411C22⋊C4—1582no—
1412C22⋊C4—1582no—
1413C22⋊C4—1582no—
1414C22⋊C4—1582no—
1415C22⋊C4—1582no—
1416C22⋊C4—1582no—
1417C22⋊C4—1582no—
1418C22⋊C4—1582no—
1419C22⋊C4—1582no—
1420C22⋊C4—1582no—
1421C22⋊C4—1582no—
1422C22⋊C4—1582no—
1423C22⋊C4—1582no—
1424C22⋊C4—1582no—
1425C22⋊C4—1582no—
1426C22⋊C4—1582no—
1427C22⋊C4D4×D7914yes—
1428C42—22no—
1429C42—3161no—
1430C42—3161no—
1431C42—794no—
1432C42—1582no—
1433C42—1582no—
1434C42—1582no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—3164no—
1448C23—3164no—
1449C23—3164no—
1450C23—3164no—
1451C23—3164no—
1452C23—3164no—
1453C23—3164no—
1454C23—792no—
1455C23—792no—
1456C23—1581no—
1457C23—1581no—
1458C23—1581no—
1459C23—1581no—
1460C23—1581no—
1461C23—1581no—
1462C23—1581no—
1463C23—1581no—
1464C23—1581no—
1465C23—1581no—
1466C23—1581no—
1467C23—1581no—
1468C23—1581no—
1469C23—1581no—
1470C23—1581no—
1471C23—1581no—
1472C23—1581no—
1473C23—1581no—
1474C23—1581no—
1475C23—1581no—
1476C23—1581no—
1477C23—1581no—
1478C23—1581no—
1479C23—1581no—
1480C23—1581no—
1481C23—1581no—
1482C23C2×D4×D7912yes—
1483C23#1457920712yes—
1484C23C24×D7911yescharacteristic
1485Q8—3164no—
1486Q8—3164no—
1487Q8—6322no—
1488Q8—6322no—
1489D4—44no—
1490D4—3164no—
1491D4—3164no—
1492D4—3164no—
1493D4—3164no—
1494D4—3164no—
1495D4—3164no—
1496D4—6322no—
1497D4—6322no—
1498D4—6322no—
1499D4—6322no—
1500D4—6322no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—44no—
1539C2×C4—82no—
1540C2×C4—3164no—
1541C2×C4—3164no—
1542C2×C4—3164no—
1543C2×C4—3164no—
1544C2×C4—3164no—
1545C2×C4—3164no—
1546C2×C4—3164no—
1547C2×C4—792no—
1548C2×C4—792no—
1549C2×C4—792no—
1550C2×C4—792no—
1551C2×C4—6322no—
1552C2×C4—1581no—
1553C2×C4—1581no—
1554C2×C4—1581no—
1555C2×C4—1581no—
1556C2×C4—1581no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4—1581no—
1568C2×C4—1581no—
1569C2×C4—1581no—
1570C2×C4—1581no—
1571C2×C4—1581no—
1572C2×C4—1581no—
1573C2×C4—1581no—
1574C2×C4—1581no—
1575C2×C4—1581no—
1576C2×C4—1588no—
1577C2×C4—1581no—
1578C2×C4—1581no—
1579C2×C4—1581no—
1580C2×C4—1581no—
1581C2×C4—1581no—
1582C2×C4—1581no—
1583C2×C4—1581no—
1584C2×C4—1581no—
1585C2×C4C2×D4×D7912yes—
1586C2×C4C2×D4×D7912yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—31616no—
1602C22—3161no—
1603C22—3161no—
1604C22—3161no—
1605C22—3161no—
1606C22—3161no—
1607C22—3161no—
1608C22—3161no—
1609C22—3161no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—3161no—
1615C22—3161no—
1616C22—3161no—
1617C22—3161no—
1618C22—3161no—
1619C22—3161no—
1620C22—3161no—
1621C22—3161no—
1622C22—3161no—
1623C22—3161no—
1624C22—1582no—
1625C22—1582no—
1626C22—1582no—
1627C22—1582no—
1628C22—1582no—
1629C22—1582no—
1630C22C22×D4×D7911yescharacteristic
1631C22H(5,𝔽2)×D7911yescharacteristic
1632C22C2×#1457920711yescharacteristic
1633C222−1+4×D7911yescharacteristic
1634C22#1909939811yescharacteristic
1635C22#1909939911yescharacteristic
1636C22#1909940011yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—3161no—
1651C4—3161no—
1652C4—3161no—
1653C4—3161no—
1654C4—3161no—
1655C4—3161no—
1656C4—3161no—
1657C4—3161no—
1658C4—1582no—
1659C4—1582no—
1660C4—1582no—
1661C4—1582no—
1662C2—42no—
1663C2—42no—
1664C2—3162no—
1665C2—3162no—
1666C2—6321no—
1667C2—6321no—
1668C2#2377672811yescharacteristic
1669C2#2377703011yescharacteristic
1670C2#2377707411yescharacteristic
1671C2#2377756611yescharacteristic
1672C2#2377760711yescharacteristic
1673C2#2377767111yescharacteristic
1674C2#2377769011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2695C2
hypercenter#2695D79
hypocenterC79#36712
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2695

Complements

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

NH ≅ G/Ntype
1. C2×#19099179C2semidirect
2. C2×#19099071C2semidirect
3. #23771695C2semidirect
4. #23771688C2semidirect
5. #23769950C2semidirect
6. #23769898C2semidirect
7. #23769875C2semidirect
8. #23769856C2semidirect
9. #23769799C2semidirect
10. #23769798C2semidirect
11. #23769777C2semidirect
12. #23769717C2semidirect
13. #23769704C2semidirect
14. #23769685C2semidirect
15. #23769682C2semidirect
16. #23769651C2semidirect
17. #23769633C2semidirect
18. #23769624C2semidirect
19. #23769607C2semidirect
20. #23769325C2semidirect
21. #23769250C2semidirect
22. #23769073C2semidirect
23. #23769007C2semidirect
24. #23768974C2semidirect
25. #23768969C2semidirect
26. #23768760C2semidirect
27. #23768578C2semidirect
28. #23767023C2semidirect
29. #23767008C2semidirect
30. #23766028C2semidirect
31. C79×#2695C2semidirect
35. C2×#14579160C22semidirect
36. C2×#14579160C22semidirect
41. C2×#14579147C22semidirect
45. C2×#14579145C22semidirect
52. C2×#14579139C22semidirect
53. C2×#14579138C22semidirect
54. C2×#14579135C22semidirect
62. C2×C4×Dic158C22semidirect
67. C2×#14579119C22semidirect
69. #19098504C22semidirect
72. #19098498C22semidirect
73. #19098498C22semidirect
74. #19098497C22semidirect
75. #19098496C22semidirect
80. #19098489C22semidirect
81. #19098485C22semidirect
82. #19098485C22semidirect
83. #19098485C22semidirect
84. #19098484C22semidirect
85. #19098483C22semidirect
86. #19098483C22semidirect
87. #19098483C22semidirect
93. #19098480C22semidirect
96. #19098479C22semidirect
98. #19098478C22semidirect
99. #19098478C22semidirect
103. #19098476C22semidirect
104. #19098476C22semidirect
105. #19098476C22semidirect
111. #19098467C22semidirect
116. #19098460C22semidirect
117. #19098459C22semidirect
123. #19098452C22semidirect
124. #19098452C22semidirect
125. #19098452C22semidirect
127. #19098450C22semidirect
128. #19098449C22semidirect
129. #19098449C22semidirect
130. #19098448C22semidirect
131. #19098447C22semidirect
132. #19098446C22semidirect
133. #19098445C22semidirect
134. #19098444C22semidirect
141. #19098441C22semidirect
142. #19098441C22semidirect
146. #19098440C22semidirect
150. #19098438C22semidirect
155. #19098437C22semidirect
156. #19098437C22semidirect
160. #19098434C22semidirect
161. #19098434C22semidirect
162. #19098430C22semidirect
163. #19098428C22semidirect
166. #19098421C22semidirect
172. C22⋊C4×Dic79C22semidirect
173. C2×C79⋊#95C22semidirect
174. C2×#126×C79C22semidirect
176. #400×C79C22semidirect
177. #398×C79C22semidirect
178. #398×C79C22semidirect
179. #397×C79C22semidirect
182. #389×C79C22semidirect
186. #385×C79C22semidirect
188. #380×C79C22semidirect
250. (C22⋊D79)⋊C4D4semidirect
843. #2695D79semidirect
869. C79#36712semidirect
876. C2×#126C2×D79semidirect
910. #400C2×D79semidirect
917. #398C2×D79semidirect
918. #398C2×D79semidirect
924. #397C2×D79semidirect
964. #389C2×D79semidirect
1012. #385C2×D79semidirect
1021. #380C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991792
C2×#190990712
#237716952
#237716882
#237699502
#237698982
#237698752
#237698562
#237697992
#237697982
#237697772
#237697172
#237697042
#237696852
#237696822
#237696512
#237696332
#237696242
#237696072
#237693252
#237692502
#237690732
#237690072
#237689742
#237689692
#237687602
#237685782
#237670232
#237670082
#237660282
C79×#26952
#3671279