Finite Group Databasebeta

← C2×#23777340 #35196242

Subgroups — C2×#23777340 #35196242

Order 20224.

8082 conjugacy classes of subgroups.

The subgroup lattice has 1356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777340C2132yesmaximal, direct product factor
2C2×#19099296C211yesmaximal, characteristic, complemented
3C2×#19099272C211yesmaximal, characteristic, complemented
4C2×#19099263C211yesmaximal, characteristic, complemented
5C2×#19099262C212yesmaximal, complemented
6C2×#19099248C211yesmaximal, characteristic, complemented
7C2×#19099242C212yesmaximal, complemented
8C2×#19099239C212yesmaximal, complemented
9C2×#19099214C211yesmaximal, characteristic, complemented
10C2×#19099208C211yesmaximal, characteristic, complemented
11C2×#19099207C211yesmaximal, characteristic, complemented
12C2×#19099203C212yesmaximal, complemented
13C2×D4×C22⋊D79C211yesmaximal, characteristic, complemented
14C2×#19099178C211yesmaximal, characteristic, complemented
15C2×#19099164C211yesmaximal, characteristic, complemented
16C2×#19099155C212yesmaximal, complemented
17C2×#19099146C212yesmaximal, complemented
18C2×#19099097C211yesmaximal, characteristic, complemented
19C2×#19099097C211yesmaximal, characteristic, complemented
20C2×#19099074C212yesmaximal, complemented
21C22×#14579144C212yesmaximal, complemented
22C2×#19099042C211yesmaximal, characteristic, complemented
23C2×#19099035C211yesmaximal, characteristic, complemented
24C22×C4×D4×C79C211yesmaximal, characteristic, complemented
25C22×#11929624C2212yescomplemented
26C22×#11929623C2211yescharacteristic
27C23×C22⋊D79C2212yes—
28C22×D4×D79C2211yescharacteristic
29#19099296C22116yescomplemented
30#19099272C22116yescomplemented
31#19099263C22116yescomplemented
32#19099262C22132yescomplemented
33#19099248C22116yescomplemented
34#19099242C22132yescomplemented
35#19099239C22132yescomplemented
36#19099214C22116yescomplemented
37#19099208C22116yescomplemented
38#19099207C22116yescomplemented
39#19099203C22132yescomplemented
40D4×C22⋊D79C22116yescomplemented
41#19099178C22116yescomplemented
42#19099164C22116yescomplemented
43#19099155C22132yescomplemented
44#19099146C22132yescomplemented
45C2×#14579160C2211yescharacteristic, complemented
46C2×#14579157C2211yescharacteristic
47#19099097C22116yescomplemented
48#19099097C22116yescomplemented
49C2×#14579156C2212yescomplemented
50C2×#14579155C2211yescharacteristic, complemented
51C2×#14579155C2211yescharacteristic, complemented
52C2×#14579155C2212yescomplemented
53C2×#14579154C2212yescomplemented
54C2×#14579154C2212yescomplemented
55C2×#14579153C2211yescharacteristic, complemented
56C2×#14579153C2211yescharacteristic, complemented
57C2×#14579152C2211yescharacteristic, complemented
58C2×#14579151C2212yescomplemented
59C2×#14579149C2211yescharacteristic, complemented
60C2×#14579149C2211yescharacteristic, complemented
61C2×#14579148C2211yescharacteristic, complemented
62C2×#14579147C2212yescomplemented
63C2×#14579147C2212yescomplemented
64#19099074C22132yescomplemented
65C2×#14579146C2212yescomplemented
66C2×#14579145C2212yescomplemented
67C2×#14579144C2212yes—
68C2×#14579144C2211yescharacteristic
69C2×#14579144C2212yescomplemented
70C2×#14579144C2212yescomplemented
71C2×#14579144C2212yescomplemented
72C2×#14579144C2212yescomplemented
73C2×#14579144C2212yescomplemented
74C2×#14579144C2212yescomplemented
75C2×#14579144C2211yescharacteristic, complemented
76C2×#14579144C22132yescomplemented
77C2×#14579143C2212yescomplemented
78C2×#14579143C2212yescomplemented
79C2×#14579142C2212yescomplemented
80C2×#14579141C2211yescharacteristic, complemented
81C2×#14579140C2212yescomplemented
82C2×#14579140C2211yescharacteristic, complemented
83C2×#14579140C2211yescharacteristic, complemented
84C2×#14579140C2212yescomplemented
85C2×#14579139C2212yescomplemented
86C2×#14579138C2212yescomplemented
87C2×#14579138C2212yescomplemented
88C2×#14579136C2211yescharacteristic, complemented
89C2×#14579135C2211yescharacteristic
90C2×#14579135C2211yescharacteristic
91C2×#14579135C2212yescomplemented
92C2×#14579135C2212yescomplemented
93C2×#14579134C2212yescomplemented
94C2×#14579134C2212yescomplemented
95C2×#14579133C2212yes—
96C2×#14579133C2212yescomplemented
97C2×#14579132C2211yescharacteristic
98C2×#14579132C2211yescharacteristic, complemented
99C2×#14579131C2212yescomplemented
100C2×#14579130C2212yes—
101C2×#14579130C2212yescomplemented
102C2×#14579129C2212yes—
103#19099042C22116yescomplemented
104#19099035C22116yescomplemented
105C2×C4×Dic158C2211yescharacteristic, complemented
106C2×C4×Dic158C2211yescharacteristic, complemented
107C2×#14579126C2211yescharacteristic, complemented
108C2×C4×D316C2211yescharacteristic, complemented
109C2×C4×D316C2211yescharacteristic, complemented
110C2×D4×Dic79C2211yescharacteristic
111C2×D4×Dic79C2211yescharacteristic
112C2×#14579123C2211yescharacteristic, complemented
113C2×C4×C22⋊D79C2211yescharacteristic
114C2×C4×C22⋊D79C2212yescomplemented
115C2×C4×C22⋊D79C2212yescomplemented
116C2×C4×C22⋊D79C2212yescomplemented
117C2×C4×C22⋊D79C2211yescharacteristic, complemented
118C2×C4×C22⋊D79C2212yescomplemented
119C2×C4×C22⋊D79C2212yescomplemented
120C2×(C22⋊D79)⋊C4C2212yescomplemented
121C2×(C22⋊D79)⋊C4C2212yescomplemented
122C2×#14579120C2212yescomplemented
123C2×#14579119C2211yescharacteristic, complemented
124C2×#14579118C2211yescharacteristic, complemented
125C2×#14579118C2211yescharacteristic, complemented
126C2×#14579118C2212yescomplemented
127C2×#14579117C2212yescomplemented
128C22×Dic79⋊C4C2212yescomplemented
129C22×Dic79⋊C4C2212yescomplemented
130C2×C4⋊C4×D79C2211yescharacteristic, complemented
131C22×C22⋊Dic79C2212yescomplemented
132C22×(C2×D79)⋊C4C2212yescomplemented
133C22×(C2×D79)⋊C4C2212yescomplemented
134C2×C22⋊C4×D79C2212yescomplemented
135C23×D4×C79C2211yescharacteristic
136C24×C4×C79C2212yescomplemented
137C2×C4×D4×C79C2211yescharacteristic
138C2×C4×D4×C79C2211yescharacteristic
139C2×C4×D4×C79C2211yescharacteristic, complemented
140C2×C4×D4×C79C2212yescomplemented
141C2×C4×D4×C79C2211yescharacteristic, complemented
142C2×C4×D4×C79C2212yescomplemented
143C2×C4×D4×C79C22116yescomplemented
144C22×C4⋊C4×C79C2211yescharacteristic, complemented
145C22×C22⋊C4×C79C2212yescomplemented
146C22×C42×C79C2211yescharacteristic, complemented
147C24×D79C2312yes—
148C2×#11929624—48no—
149C2×#11929624C23116yescomplemented
150C2×#11929623—28no—
151C2×#11929623C2318yes—
152C22×Dic158C2311yescharacteristic
153C22×Dic158C2311yescharacteristic
154C22×Dic158C2312yes—
155C22×D316C2311yescharacteristic
156C22×D316C2311yescharacteristic
157C22×D316C2312yes—
158C22×C22⋊D79—48no—
159C22×C22⋊D79C2312yes—
160C22×C22⋊D79C2312yes—
161C22×C22⋊D79C2311yescharacteristic
162C22×C22⋊D79C2312yes—
163C22×C22⋊D79C2311yescharacteristic
164C22×C22⋊D79C23116yes—
165C22×C22⋊D79C2312yes—
166C22×C22⋊D79C2312yes—
167C22×C22⋊D79C2312yes—
168C22×C22⋊D79C2312yes—
169C2×D4×D79—28no—
170C2×D4×D79C2318yes—
171C23×Dic79C2312yes—
172C23×Dic79C2312yes—
173C23×Dic79C2312yes—
174C22×C4×D79C2311yescharacteristic
175C22×C4×D79C2311yescharacteristic
176C22×C4×D79C2312yes—
177C22×C4×D79C2312yes—
178C22×C4×D79C2312yes—
179#14579160C2318yescomplemented
180#14579157C2318yes—
181#14579156C23116yescomplemented
182#14579155C23116yescomplemented
183#14579155C2318yescomplemented
184#14579155C2318yescomplemented
185#14579154C23116yescomplemented
186#14579154C23116yescomplemented
187#14579153C2318yescomplemented
188#14579153C2318yescomplemented
189#14579152C2318yescomplemented
190#14579151C23116yescomplemented
191#14579149C2318yescomplemented
192#14579149C2318yescomplemented
193#14579148C2318yescomplemented
194#14579147C23116yescomplemented
195#14579147C23116yescomplemented
196#14579146C23116yescomplemented
197#14579145C23116yescomplemented
198#14579144C23116yes—
199#14579144C2318yes—
200#14579144C23116yescomplemented
201#14579144C23116yescomplemented
202#14579144C23116yescomplemented
203#14579144C23116yescomplemented
204#14579144C23116yescomplemented
205#14579144C23116yescomplemented
206#14579144C2318yescomplemented
207#14579143C23116yescomplemented
208#14579143C23116yescomplemented
209#14579142C23116yescomplemented
210#14579141C2318yescomplemented
211#14579140C23116yescomplemented
212#14579140C2318yescomplemented
213#14579140C2318yescomplemented
214#14579140C23116yescomplemented
215#14579139C23116yescomplemented
216#14579138C23116yescomplemented
217#14579138C23116yescomplemented
218#14579136C2318yescomplemented
219#14579135C2318yes—
220#14579135C2318yes—
221#14579135C23116yescomplemented
222#14579135C23116yescomplemented
223#14579134C23116yescomplemented
224#14579134C23116yescomplemented
225#14579133C23116yes—
226#14579133C23116yescomplemented
227#14579132C2318yes—
228#14579132C2318yescomplemented
229#14579131C23116yescomplemented
230#14579130C23116yes—
231#14579130C23116yescomplemented
232#14579129C23116yes—
233C4×Dic158C2318yescomplemented
234C4×Dic158C2318yescomplemented
235#14579126C2318yescomplemented
236C4×D316C2318yescomplemented
237C4×D316C2318yescomplemented
238D4×Dic79C2318yes—
239D4×Dic79C2318yes—
240#14579123C2318yescomplemented
241C4×C22⋊D79C2318yes—
242C4×C22⋊D79C23116yescomplemented
243C4×C22⋊D79C23116yescomplemented
244C4×C22⋊D79C23116yescomplemented
245C4×C22⋊D79C2318yescomplemented
246C4×C22⋊D79C23116yescomplemented
247C4×C22⋊D79C23116yescomplemented
248(C22⋊D79)⋊C4C23116yescomplemented
249(C22⋊D79)⋊C4C23116yescomplemented
250#14579120C23116yescomplemented
251#14579119C2318yescomplemented
252#14579118C2318yescomplemented
253#14579118C2318yescomplemented
254#14579118C23116yescomplemented
255#14579117C23116yescomplemented
256C2×C4⋊Dic79C2311yescharacteristic
257C2×C4⋊Dic79C2311yescharacteristic
258C2×C4⋊Dic79C2312yes—
259C2×C4⋊Dic79C2312yes—
260C2×C4⋊Dic79C2311yescharacteristic
261C2×C4⋊Dic79C2311yescharacteristic
262C2×Dic79⋊C4C2312yes—
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2312yes—
266C2×Dic79⋊C4C2312yes—
267C2×Dic79⋊C4C2312yes—
268C2×Dic79⋊C4C2312yes—
269C2×Dic79⋊C4C2312yes—
270C2×Dic79⋊C4C2311yescharacteristic
271C2×Dic79⋊C4C2311yescharacteristic
272C2×Dic79⋊C4C2311yescharacteristic
273C2×Dic79⋊C4C2312yes—
274C2×Dic79⋊C4C2311yescharacteristic
275C2×Dic79⋊C4C2311yescharacteristic
276C2×Dic79⋊C4C2312yes—
277C2×Dic79⋊C4C2311yescharacteristic
278C2×Dic79⋊C4C23116yescomplemented
279C2×Dic79⋊C4C23116yescomplemented
280C4⋊C4×D79C2318yescomplemented
281C2×C22⋊Dic79C2312yes—
282C2×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2312yes—
284C2×C22⋊Dic79C2312yes—
285C2×C22⋊Dic79C2312yes—
286C2×C22⋊Dic79C2312yes—
287C2×C22⋊Dic79C2311yescharacteristic
288C2×C22⋊Dic79C2312yes—
289C2×C22⋊Dic79C2312yes—
290C2×C22⋊Dic79C23116yescomplemented
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2312yes—
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2312yes—
296C2×(C2×D79)⋊C4C2312yes—
297C2×(C2×D79)⋊C4C2312yes—
298C2×(C2×D79)⋊C4C2312yes—
299C2×(C2×D79)⋊C4C2312yes—
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2312yes—
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2312yes—
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C23116yescomplemented
308C2×(C2×D79)⋊C4C23116yescomplemented
309C22⋊C4×D79C23116yescomplemented
310C2×C4×Dic79C2312yes—
311C2×C4×Dic79C2312yes—
312C2×C4×Dic79C2311yescharacteristic
313C2×C4×Dic79C2311yescharacteristic
314C2×C4×Dic79C2312yes—
315C25×C79C2312yes—
316C22×D4×C79—28no—
317C22×D4×C79C2318yes—
318C22×D4×C79C2312yes—
319C22×D4×C79C2311yescharacteristic
320C22×D4×C79C2311yescharacteristic
321C23×C4×C79—48no—
322C23×C4×C79C2311yescharacteristic
323C23×C4×C79C2311yescharacteristic
324C23×C4×C79C2312yes—
325C23×C4×C79C2311yescharacteristic
326C23×C4×C79C2312yes—
327C23×C4×C79C2312yes—
328C23×C4×C79C2312yes—
329C23×C4×C79C2312yes—
330C23×C4×C79C23116yescomplemented
331C4×D4×C79C2318yes—
332C4×D4×C79C2318yes—
333C4×D4×C79C23116yescomplemented
334C4×D4×C79C2318yescomplemented
335C4×D4×C79C23116yescomplemented
336C4×D4×C79C2318yescomplemented
337C2×C4⋊C4×C79C2311yescharacteristic
338C2×C4⋊C4×C79C2311yescharacteristic
339C2×C4⋊C4×C79C2312yes—
340C2×C4⋊C4×C79C2318yescomplemented
341C2×C22⋊C4×C79C2312yes—
342C2×C22⋊C4×C79C2312yes—
343C2×C22⋊C4×C79C2312yes—
344C2×C22⋊C4×C79C2312yes—
345C2×C22⋊C4×C79C23116yescomplemented
346C2×C42×C79C2311yescharacteristic
347C2×C42×C79C2311yescharacteristic
348C2×C42×C79C2311yescharacteristic
349C2×C42×C79C2311yescharacteristic
350C2×C42×C79C2318yescomplemented
351C23×D79—28no—
352C23×D79—44no—
353C23×D79—44no—
354C23×D79C2411yescharacteristic
355C23×D79C2412yes—
356C23×D79C2411yescharacteristic
357C23×D79C2418yes—
358#11929624—432no—
359#11929623—232no—
360C2×Dic158—24no—
361C2×Dic158—42no—
362C2×Dic158—44no—
363C2×Dic158C2414yes—
364C2×Dic158C2418yes—
365C2×Dic158C2414yes—
366C2×D316—24no—
367C2×D316—44no—
368C2×D316—42no—
369C2×D316C2414yes—
370C2×D316C2418yes—
371C2×D316C2414yes—
372C2×C22⋊D79—28no—
373C2×C22⋊D79—28no—
374C2×C22⋊D79—24no—
375C2×C22⋊D79—28no—
376C2×C22⋊D79—24no—
377C2×C22⋊D79—432no—
378C2×C22⋊D79—44no—
379C2×C22⋊D79—44no—
380C2×C22⋊D79—44no—
381C2×C22⋊D79—44no—
382C2×C22⋊D79C2418yes—
383C2×C22⋊D79C2414yes—
384C2×C22⋊D79C2418yes—
385C2×C22⋊D79C2418yes—
386C2×C22⋊D79C2414yes—
387C2×C22⋊D79C2418yes—
388C2×C22⋊D79C2418yes—
389C2×C22⋊D79C2418yes—
390C2×C22⋊D79C2418yes—
391D4×D79—232no—
392C22×Dic79—28no—
393C22×Dic79—44no—
394C22×Dic79—44no—
395C22×Dic79C2411yescharacteristic
396C22×Dic79C2411yescharacteristic
397C22×Dic79C2412yes—
398C22×Dic79C2411yescharacteristic
399C22×Dic79C2412yes—
400C22×Dic79C2418yes—
401C22×Dic79C2411yescharacteristic
402C22×Dic79C2412yes—
403C22×Dic79C2411yescharacteristic
404C22×Dic79C2411yescharacteristic
405C22×Dic79C2418yes—
406C22×Dic79C2418yes—
407C2×C4×D79—24no—
408C2×C4×D79—24no—
409C2×C4×D79—44no—
410C2×C4×D79—44no—
411C2×C4×D79—44no—
412C2×C4×D79C2414yes—
413C2×C4×D79C2414yes—
414C2×C4×D79C2418yes—
415C2×C4×D79C2418yes—
416C2×C4×D79C2418yes—
417C4⋊Dic79C2414yes—
418C4⋊Dic79C2414yes—
419C4⋊Dic79C2418yes—
420C4⋊Dic79C2418yes—
421C4⋊Dic79C2414yes—
422C4⋊Dic79C2414yes—
423Dic79⋊C4C2418yes—
424Dic79⋊C4C2414yes—
425Dic79⋊C4C2414yes—
426Dic79⋊C4C2418yes—
427Dic79⋊C4C2418yes—
428Dic79⋊C4C2418yes—
429Dic79⋊C4C2418yes—
430Dic79⋊C4C2418yes—
431Dic79⋊C4C2414yes—
432Dic79⋊C4C2414yes—
433Dic79⋊C4C2414yes—
434Dic79⋊C4C2418yes—
435Dic79⋊C4C2414yes—
436Dic79⋊C4C2414yes—
437Dic79⋊C4C2418yes—
438Dic79⋊C4C2414yes—
439C22⋊Dic79C2418yes—
440C22⋊Dic79C2414yes—
441C22⋊Dic79C2418yes—
442C22⋊Dic79C2418yes—
443C22⋊Dic79C2418yes—
444C22⋊Dic79C2418yes—
445C22⋊Dic79C2414yes—
446C22⋊Dic79C2418yes—
447C22⋊Dic79C2418yes—
448(C2×D79)⋊C4C2414yes—
449(C2×D79)⋊C4C2418yes—
450(C2×D79)⋊C4C2414yes—
451(C2×D79)⋊C4C2414yes—
452(C2×D79)⋊C4C2418yes—
453(C2×D79)⋊C4C2418yes—
454(C2×D79)⋊C4C2418yes—
455(C2×D79)⋊C4C2418yes—
456(C2×D79)⋊C4C2418yes—
457(C2×D79)⋊C4C2414yes—
458(C2×D79)⋊C4C2414yes—
459(C2×D79)⋊C4C2418yes—
460(C2×D79)⋊C4C2414yes—
461(C2×D79)⋊C4C2414yes—
462(C2×D79)⋊C4C2418yes—
463(C2×D79)⋊C4C2414yes—
464C4×Dic79C2418yes—
465C4×Dic79C2418yes—
466C4×Dic79C2414yes—
467C4×Dic79C2414yes—
468C4×Dic79C2418yes—
469C24×C79—28no—
470C24×C79—28no—
471C24×C79—44no—
472C24×C79C2412yes—
473C24×C79C2418yes—
474C24×C79C2412yes—
475C24×C79C2411yescharacteristic
476C2×D4×C79—28no—
477C2×D4×C79—232no—
478C2×D4×C79—24no—
479C2×D4×C79#4118yescomplemented
480C2×D4×C79C2418yes—
481C2×D4×C79C2414yes—
482C2×D4×C79C2414yes—
483C22×C4×C79—28no—
484C22×C4×C79—24no—
485C22×C4×C79—24no—
486C22×C4×C79—44no—
487C22×C4×C79—44no—
488C22×C4×C79—44no—
489C22×C4×C79—44no—
490C22×C4×C79—432no—
491C22×C4×C79—42no—
492C22×C4×C79C2411yescharacteristic
493C22×C4×C79C2412yes—
494C22×C4×C79C2418yes—
495C22×C4×C79C2411yescharacteristic
496C22×C4×C79C2411yescharacteristic
497C22×C4×C79C2411yescharacteristic
498C22×C4×C79C2411yescharacteristic
499C22×C4×C79C2414yes—
500C22×C4×C79C2414yes—
501C22×C4×C79C2412yes—
502C22×C4×C79C2414yes—
503C22×C4×C79C2418yes—
504C22×C4×C79C2418yes—
505C22×C4×C79C2418yes—
506C22×C4×C79C2418yes—
507C22×C4×C79C2411yescharacteristic
508C4⋊C4×C79C2414yes—
509C4⋊C4×C79C2414yes—
510C4⋊C4×C79C2418yes—
511C22⋊C4×C79C2418yes—
512C22⋊C4×C79C2418yes—
513C22⋊C4×C79C2418yes—
514C22⋊C4×C79C2418yes—
515C42×C79C2414yes—
516C42×C79C2414yes—
517C42×C79C2414yes—
518C42×C79C2414yes—
519C23×C79—22no—
520C23×C79—24no—
521C23×C79—24no—
522C23×C79—22no—
523C23×C79—216no—
524C23×C79—24no—
525C23×C79—216no—
526C23×C79—24no—
527C23×C79—24no—
528C23×C79—48no—
529C23×C79—432no—
530C23×C79C2×#4118yes—
531C23×C79H(5,𝔽2)14yes—
532C23×C79C2514yes—
533C23×C79C2514yes—
534C23×C79C2512yes—
535C23×C79C2511yescharacteristic
536C22×D79—22no—
537C22×D79—22no—
538C22×D79—24no—
539C22×D79—22no—
540C22×D79—24no—
541C22×D79—22no—
542C22×D79—24no—
543C22×D79—22no—
544C22×D79—22no—
545C22×D79—216no—
546C22×D79—48no—
547C22×D79—48no—
548C22×D79—816no—
549C22×D79C2512yes—
550C22×D79C2514yes—
551C22×D79C2512yes—
552D4×C79—216no—
553D4×C79—28no—
554D4×C79C2×#41116yescomplemented
555C2×C4×C79—22no—
556C2×C4×C79—24no—
557C2×C4×C79—24no—
558C2×C4×C79—216no—
559C2×C4×C79—28no—
560C2×C4×C79—22no—
561C2×C4×C79—22no—
562C2×C4×C79—22no—
563C2×C4×C79—22no—
564C2×C4×C79—28no—
565C2×C4×C79—48no—
566C2×C4×C79—48no—
567C2×C4×C79—48no—
568C2×C4×C79—48no—
569C2×C4×C79—44no—
570C2×C4×C79C2×#4114yes—
571C2×C4×C79C2512yes—
572C2×C4×C79C2514yes—
573C2×C4×C79C2512yes—
574C2×C4×C79C2512yes—
575C2×C4×C79C2512yes—
576C2×C4×C79C2512yes—
577C2×C4×C79C2514yes—
578C2×C4×C79C2512yes—
579C22⋊D79—216no—
580C22⋊D79—216no—
581C22⋊D79—28no—
582C22⋊D79—216no—
583C22⋊D79—28no—
584C22⋊D79—48no—
585C22⋊D79—48no—
586C22⋊D79—48no—
587C22⋊D79—48no—
588C2×Dic79—22no—
589C2×Dic79—22no—
590C2×Dic79—24no—
591C2×Dic79—216no—
592C2×Dic79—22no—
593C2×Dic79—24no—
594C2×Dic79—22no—
595C2×Dic79—24no—
596C2×Dic79—22no—
597C2×Dic79—22no—
598C2×Dic79—48no—
599C2×Dic79—48no—
600C2×Dic79C2512yes—
601C2×Dic79C2514yes—
602C2×Dic79C2512yes—
603C2×Dic79C2512yes—
604C2×Dic79C2514yes—
605C2×Dic79C2512yes—
606C2×Dic79C2514yes—
607C2×Dic79C2512yes—
608C2×Dic79C2512yes—
609D316—28no—
610D316—44no—
611D316—48no—
612C4×D79—28no—
613C4×D79—28no—
614C4×D79—48no—
615C4×D79—48no—
616C4×D79—48no—
617Dic158—28no—
618Dic158—44no—
619Dic158—48no—
620C22×C79—22no—
621C22×C79—24no—
622C22×C79—22no—
623C22×C79—24no—
624C22×C79—216no—
625C22×C79—28no—
626C22×C79—24no—
627C22×C79—24no—
628C22×C79—24no—
629C22×C79—432no—
630C22×C79—48no—
631C22×C79C22×#4118yes—
632C22×C79C22×#4112yes—
633C22×C79C2×H(5,𝔽2)14yes—
634C22×C79C2×H(5,𝔽2)12yes—
635C22×C79#58512yes—
636C22×C79C2611yescharacteristic
637C2×D79—22no—
638C2×D79—24no—
639C2×D79—22no—
640C2×D79—22no—
641C2×D79—24no—
642C2×D79—22no—
643C2×D79—22no—
644C2×D79—24no—
645C2×D79—22no—
646C2×D79—44no—
647C2×D79—48no—
648C2×D79—44no—
649C2×D79—816no—
650C4×C79—22no—
651C4×C79—22no—
652C4×C79—22no—
653C4×C79—24no—
654C4×C79—24no—
655C4×C79—22no—
656C4×C79—22no—
657C4×C79C22×#4114yes—
658Dic79—22no—
659Dic79—24no—
660Dic79—22no—
661Dic79—22no—
662Dic79—24no—
663Dic79—22no—
664Dic79—22no—
665Dic79—24no—
666Dic79—22no—
667C2×#3513—791nomaximal, Sylow
668C2×C79—28no—
669C2×C79—24no—
670C2×C79—44no—
671C2×C79#351314yescomplemented
672C2×C79C23×#4111yescharacteristic
673C2×C79C22×H(5,𝔽2)11yescharacteristic
674C2×C79C2×#58511yescharacteristic
675D79—42no—
676D79—44no—
677D79—42no—
678#3513—7932no—
679C2×#559—791no—
680C2×#554—791no—
681C2×#553—792no—
682C2×#553—791no—
683C2×#552—791no—
684C2×#551—792no—
685C2×#551—792no—
686C2×#547—791no—
687C2×#546—791no—
688C2×#546—791no—
689C2×#546—792no—
690C2×D42—791no—
691C2×#542—791no—
692C2×#540—791no—
693C2×#539—792no—
694C2×#538—792no—
695C2×#529—791no—
696C2×#529—791no—
697C2×#525—792no—
698C22×#123—792no—
699C2×#520—791no—
700C2×#518—791no—
701C22×C4×D4D7911yescharacteristic, complemented
702C79C2×#351311yescharacteristic, complemented, Sylow
703C22×#41—791no—
704C22×#41—792no—
705C23×D4—792no—
706C23×D4—791no—
707C23×D4C2×D7911yescharacteristic
708C24×C4C2×D7912yescomplemented
709#559—7916no—
710#554—7916no—
711#553—7932no—
712#553—7916no—
713#552—7916no—
714#551—7932no—
715#551—7932no—
716#547—7916no—
717#546—7916no—
718#546—7916no—
719#546—7932no—
720D42—7916no—
721#542—7916no—
722#540—7916no—
723#539—7932no—
724#538—7932no—
725C2×C4⋊Q8—791no—
726C2×#127—791no—
727#529—7916no—
728#529—7916no—
729C2×#126—792no—
730C2×#126—792no—
731C2×#126—792no—
732C2×#126—792no—
733C2×#126—791no—
734C2×#126—791no—
735C2×#125—792no—
736C2×#125—791no—
737C2×#125—791no—
738C2×#125—791no—
739C2×#124—791no—
740C2×#124—792no—
741C2×#124—792no—
742C2×#124—791no—
743C2×#124—791no—
744#525—7932no—
745C2×#123—792no—
746C2×#123—791no—
747C2×#123—792no—
748C2×#123—792no—
749C2×#123—792no—
750C2×#123—792no—
751C2×#123—792no—
752C2×#123—792no—
753C2×#123—792no—
754C2×#123—791no—
755C2×#123—7932no—
756C2×#123—792no—
757C2×#123—792no—
758C2×#123—792no—
759C2×#123—792no—
760C2×C22⋊Q8—792no—
761C2×C22⋊Q8—792no—
762C2×C22⋊Q8—791no—
763C2×C22⋊Q8—791no—
764C2×C22⋊Q8—792no—
765C2×C22⋊Q8—791no—
766C2×C22⋊Q8—792no—
767C2×C22⋊Q8—792no—
768C2×#121—792no—
769C2×#121—792no—
770C2×#121—791no—
771C2×#121—791no—
772C2×#121—792no—
773C2×#121—792no—
774C2×#121—791no—
775C2×#121—791no—
776C2×#121—791no—
777C2×#121—792no—
778C2×#121—792no—
779C2×#120—792no—
780C2×#120—792no—
781C2×#120—792no—
782C2×#120—792no—
783#520—7916no—
784#518—7916no—
785C2×C4×Q8—791no—
786C2×C4×Q8—791no—
787C2×C4×Q8—791no—
788C2×C4×D4—791no—
789C2×C4×D4—791no—
790C2×C4×D4—792no—
791C2×C4×D4—792no—
792C2×C4×D4—792no—
793C2×C4×D4—792no—
794C2×C4×D4—791no—
795C2×C4×D4—791no—
796C2×C4×D4—792no—
797C2×C4×D4—791no—
798C2×C4×D4—792no—
799C2×C4×D4—792no—
800C2×C4×D4—791no—
801C2×C4×D4—791no—
802C2×C4×D4C2×D7911yescharacteristic
803C2×C4×D4C2×D7911yescharacteristic
804C2×C4×D4C2×D7912yescomplemented
805C2×C4×D4C2×D7911yescharacteristic, complemented
806C2×C4×D4C2×D7912yescomplemented
807C2×C4×D4C2×D7911yescharacteristic, complemented
808C2×C4×D4C2×D79116yescomplemented
809C2×#117—792no—
810C2×#117—791no—
811C2×#117—792no—
812C2×#117—791no—
813C2×#117—791no—
814C2×#117—792no—
815C22×C4⋊C4—792no—
816C22×C4⋊C4—792no—
817C22×C4⋊C4—791no—
818C22×C4⋊C4C2×D7911yescharacteristic, complemented
819C22×C22⋊C4—792no—
820C22×C22⋊C4—792no—
821C22×C22⋊C4—792no—
822C22×C22⋊C4—792no—
823C22×C22⋊C4C2×D7912yescomplemented
824C22×C42C2×D7911yescharacteristic, complemented
825C25—792no—
826C25C22×D7912yes—
827C2×#41—3168no—
828C2×#41—798no—
829C2×#41—7916no—
830C2×#41—1588no—
831C22×Q8—791no—
832C22×Q8—792no—
833C22×Q8—791no—
834C22×D4—28no—
835C22×D4—3168no—
836C22×D4—792no—
837C22×D4—792no—
838C22×D4—792no—
839C22×D4—792no—
840C22×D4—7916no—
841C22×D4—792no—
842C22×D4—792no—
843C22×D4—791no—
844C22×D4—792no—
845C22×D4—791no—
846C22×D4—798no—
847C22×D4—791no—
848C22×D4—792no—
849C22×D4—791no—
850C22×D4—1588no—
851C22×D4C22×D7912yes—
852C22×D4C22×D7911yescharacteristic
853C22×D4C22×D7918yes—
854C22×D4C22×D7911yescharacteristic
855C23×C4—48no—
856C23×C4—792no—
857C23×C4—792no—
858C23×C4—792no—
859C23×C4—792no—
860C23×C4—792no—
861C23×C4—792no—
862C23×C4—791no—
863C23×C4—791no—
864C23×C4C22×D7912yes—
865C23×C4C22×D7911yescharacteristic
866C23×C4C22×D7911yescharacteristic
867C23×C4C22×D7912yes—
868C23×C4C22×D7912yes—
869C23×C4C22×D7911yescharacteristic
870C23×C4C22×D7912yes—
871C23×C4C22×D7912yes—
872C23×C4C22×D79116yescomplemented
873C4⋊Q8—798no—
874#127—798no—
875#126—7916no—
876#126—7916no—
877#126—7916no—
878#126—7916no—
879#126—798no—
880#126—798no—
881#125—7916no—
882#125—798no—
883#125—798no—
884#125—798no—
885#124—798no—
886#124—7916no—
887#124—7916no—
888#124—798no—
889#124—798no—
890#123—7916no—
891#123—798no—
892#123—7916no—
893#123—7916no—
894#123—7916no—
895#123—7916no—
896#123—7916no—
897#123—7916no—
898#123—7916no—
899#123—798no—
900#123—7916no—
901#123—7916no—
902#123—7916no—
903#123—7916no—
904C22⋊Q8—7916no—
905C22⋊Q8—7916no—
906C22⋊Q8—798no—
907C22⋊Q8—798no—
908C22⋊Q8—7916no—
909C22⋊Q8—798no—
910C22⋊Q8—7916no—
911C22⋊Q8—7916no—
912#121—7916no—
913#121—7916no—
914#121—798no—
915#121—798no—
916#121—7916no—
917#121—7916no—
918#121—798no—
919#121—798no—
920#121—798no—
921#121—7916no—
922#121—7916no—
923#120—7916no—
924#120—7916no—
925#120—7916no—
926#120—7916no—
927C4×Q8—798no—
928C4×Q8—798no—
929C4×Q8—798no—
930C4×D4—798no—
931C4×D4—798no—
932C4×D4—7916no—
933C4×D4—7916no—
934C4×D4—7916no—
935C4×D4—7916no—
936C4×D4—798no—
937C4×D4—798no—
938C4×D4—7916no—
939C4×D4—798no—
940C4×D4—7916no—
941C4×D4—7916no—
942C4×D4—798no—
943C4×D4—798no—
944C4×D4C22×D7918yes—
945C4×D4C22×D7918yes—
946C4×D4C22×D79116yescomplemented
947C4×D4C22×D7918yescomplemented
948C4×D4C22×D79116yescomplemented
949C4×D4C22×D7918yescomplemented
950#117—7916no—
951#117—798no—
952#117—7916no—
953#117—798no—
954#117—798no—
955#117—7916no—
956C2×C4⋊C4—792no—
957C2×C4⋊C4—791no—
958C2×C4⋊C4—791no—
959C2×C4⋊C4—792no—
960C2×C4⋊C4—791no—
961C2×C4⋊C4—792no—
962C2×C4⋊C4—792no—
963C2×C4⋊C4—7916no—
964C2×C4⋊C4—792no—
965C2×C4⋊C4—792no—
966C2×C4⋊C4—7916no—
967C2×C4⋊C4—791no—
968C2×C4⋊C4—791no—
969C2×C4⋊C4—791no—
970C2×C4⋊C4—791no—
971C2×C4⋊C4—792no—
972C2×C4⋊C4—792no—
973C2×C4⋊C4—792no—
974C2×C4⋊C4—791no—
975C2×C4⋊C4—791no—
976C2×C4⋊C4—792no—
977C2×C4⋊C4—791no—
978C2×C4⋊C4—791no—
979C2×C4⋊C4—791no—
980C2×C4⋊C4—798no—
981C2×C4⋊C4C22×D7911yescharacteristic
982C2×C4⋊C4C22×D7911yescharacteristic
983C2×C4⋊C4C22×D7912yes—
984C2×C4⋊C4C22×D7918yescomplemented
985C2×C22⋊C4—791no—
986C2×C22⋊C4—792no—
987C2×C22⋊C4—792no—
988C2×C22⋊C4—792no—
989C2×C22⋊C4—792no—
990C2×C22⋊C4—7916no—
991C2×C22⋊C4—791no—
992C2×C22⋊C4—792no—
993C2×C22⋊C4—792no—
994C2×C22⋊C4—792no—
995C2×C22⋊C4—792no—
996C2×C22⋊C4—791no—
997C2×C22⋊C4—791no—
998C2×C22⋊C4—791no—
999C2×C22⋊C4—792no—
1000C2×C22⋊C4—792no—
1001C2×C22⋊C4—792no—
1002C2×C22⋊C4—7916no—
1003C2×C22⋊C4—792no—
1004C2×C22⋊C4—792no—
1005C2×C22⋊C4—7916no—
1006C2×C22⋊C4—791no—
1007C2×C22⋊C4—791no—
1008C2×C22⋊C4—792no—
1009C2×C22⋊C4—791no—
1010C2×C22⋊C4—791no—
1011C2×C22⋊C4—792no—
1012C2×C22⋊C4—791no—
1013C2×C22⋊C4—7916no—
1014C2×C22⋊C4C22×D7912yes—
1015C2×C22⋊C4C22×D7912yes—
1016C2×C22⋊C4C22×D7912yes—
1017C2×C22⋊C4C22×D7912yes—
1018C2×C22⋊C4C22×D79116yescomplemented
1019C2×C42—792no—
1020C2×C42—792no—
1021C2×C42—792no—
1022C2×C42—791no—
1023C2×C42—791no—
1024C2×C42C22×D7911yescharacteristic
1025C2×C42C22×D7911yescharacteristic
1026C2×C42C22×D7911yescharacteristic
1027C2×C42C22×D7911yescharacteristic
1028C2×C42C22×D7918yescomplemented
1029C24—28no—
1030C24—28no—
1031C24—44no—
1032C24—3164no—
1033C24—3164no—
1034C24—798no—
1035C24—791no—
1036C24—792no—
1037C24—791no—
1038C24—1588no—
1039C24C23×D7912yes—
1040C24C23×D7918yes—
1041C24C23×D7912yes—
1042C24C23×D7911yescharacteristic
1043#41—31632no—
1044#41—15832no—
1045C2×Q8—3162no—
1046C2×Q8—3164no—
1047C2×Q8—794no—
1048C2×Q8—798no—
1049C2×Q8—794no—
1050C2×Q8—1584no—
1051C2×D4—28no—
1052C2×D4—232no—
1053C2×D4—24no—
1054C2×D4—3162no—
1055C2×D4—3164no—
1056C2×D4—31632no—
1057C2×D4—3164no—
1058C2×D4—3164no—
1059C2×D4—3164no—
1060C2×D4—3164no—
1061C2×D4—798no—
1062C2×D4—798no—
1063C2×D4—798no—
1064C2×D4—798no—
1065C2×D4—798no—
1066C2×D4—798no—
1067C2×D4—794no—
1068C2×D4—798no—
1069C2×D4—794no—
1070C2×D4—794no—
1071C2×D4—798no—
1072C2×D4—794no—
1073C2×D4—1588no—
1074C2×D4—1588no—
1075C2×D4—1584no—
1076C2×D4—1588no—
1077C2×D4—1584no—
1078C2×D4—15832no—
1079C2×D4—1584no—
1080C2×D4#1192962418yescomplemented
1081C2×D4C23×D7918yes—
1082C2×D4C23×D7914yes—
1083C2×D4C23×D7914yes—
1084C22×C4—24no—
1085C22×C4—28no—
1086C22×C4—24no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—432no—
1092C22×C4—42no—
1093C22×C4—3164no—
1094C22×C4—3164no—
1095C22×C4—3164no—
1096C22×C4—3164no—
1097C22×C4—3164no—
1098C22×C4—798no—
1099C22×C4—798no—
1100C22×C4—798no—
1101C22×C4—798no—
1102C22×C4—798no—
1103C22×C4—798no—
1104C22×C4—791no—
1105C22×C4—792no—
1106C22×C4—791no—
1107C22×C4—791no—
1108C22×C4—792no—
1109C22×C4—791no—
1110C22×C4—792no—
1111C22×C4—791no—
1112C22×C4—791no—
1113C22×C4—794no—
1114C22×C4—794no—
1115C22×C4—1588no—
1116C22×C4—1584no—
1117C22×C4—1584no—
1118C22×C4C23×D7914yes—
1119C22×C4C23×D7914yes—
1120C22×C4C23×D7918yes—
1121C22×C4C23×D7911yescharacteristic
1122C22×C4C23×D7912yes—
1123C22×C4C23×D7911yescharacteristic
1124C22×C4C23×D7911yescharacteristic
1125C22×C4C23×D7911yescharacteristic
1126C22×C4C23×D7911yescharacteristic
1127C22×C4C23×D7912yes—
1128C22×C4C23×D7914yes—
1129C22×C4C23×D7918yes—
1130C22×C4C23×D7918yes—
1131C22×C4C23×D7918yes—
1132C22×C4C23×D7918yes—
1133C22×C4C23×D7911yescharacteristic
1134C4⋊C4—798no—
1135C4⋊C4—794no—
1136C4⋊C4—794no—
1137C4⋊C4—798no—
1138C4⋊C4—798no—
1139C4⋊C4—798no—
1140C4⋊C4—798no—
1141C4⋊C4—798no—
1142C4⋊C4—794no—
1143C4⋊C4—794no—
1144C4⋊C4—794no—
1145C4⋊C4—798no—
1146C4⋊C4—794no—
1147C4⋊C4—794no—
1148C4⋊C4—798no—
1149C4⋊C4—794no—
1150C4⋊C4—794no—
1151C4⋊C4—794no—
1152C4⋊C4—798no—
1153C4⋊C4—798no—
1154C4⋊C4—794no—
1155C4⋊C4—794no—
1156C4⋊C4C23×D7914yes—
1157C4⋊C4C23×D7914yes—
1158C4⋊C4C23×D7918yes—
1159C22⋊C4—794no—
1160C22⋊C4—798no—
1161C22⋊C4—798no—
1162C22⋊C4—798no—
1163C22⋊C4—798no—
1164C22⋊C4—794no—
1165C22⋊C4—798no—
1166C22⋊C4—798no—
1167C22⋊C4—798no—
1168C22⋊C4—798no—
1169C22⋊C4—794no—
1170C22⋊C4—794no—
1171C22⋊C4—794no—
1172C22⋊C4—798no—
1173C22⋊C4—798no—
1174C22⋊C4—798no—
1175C22⋊C4—798no—
1176C22⋊C4—798no—
1177C22⋊C4—794no—
1178C22⋊C4—794no—
1179C22⋊C4—798no—
1180C22⋊C4—794no—
1181C22⋊C4—794no—
1182C22⋊C4—798no—
1183C22⋊C4—794no—
1184C22⋊C4C23×D7918yes—
1185C22⋊C4C23×D7918yes—
1186C22⋊C4C23×D7918yes—
1187C22⋊C4C23×D7918yes—
1188C42—798no—
1189C42—798no—
1190C42—798no—
1191C42—794no—
1192C42—794no—
1193C42C23×D7914yes—
1194C42C23×D7914yes—
1195C42C23×D7914yes—
1196C42C23×D7914yes—
1197C23—24no—
1198C23—22no—
1199C23—24no—
1200C23—22no—
1201C23—216no—
1202C23—24no—
1203C23—24no—
1204C23—216no—
1205C23—24no—
1206C23—48no—
1207C23—432no—
1208C23—3168no—
1209C23—3168no—
1210C23—792no—
1211C23—794no—
1212C23—792no—
1213C23—63216no—
1214C23—1582no—
1215C23—1584no—
1216C23—1582no—
1217C23—1584no—
1218C23—1582no—
1219C23—1582no—
1220C23—1582no—
1221C23—1582no—
1222C23—1584no—
1223C23—15816no—
1224C23C2×#1192962418yes—
1225C23#1457920614yes—
1226C23C24×D7914yes—
1227C23C24×D7912yes—
1228C23C24×D7914yes—
1229C23C24×D7911yescharacteristic
1230Q8—3168no—
1231Q8—3164no—
1232Q8—1588no—
1233D4—216no—
1234D4—28no—
1235D4—3168no—
1236D4—3164no—
1237D4—3168no—
1238D4—3168no—
1239D4—3168no—
1240D4—3168no—
1241D4—1588no—
1242D4—15816no—
1243D4—1588no—
1244D4—15816no—
1245D4—15816no—
1246D4—1588no—
1247D4C2×#11929624116yescomplemented
1248C2×C4—28no—
1249C2×C4—22no—
1250C2×C4—22no—
1251C2×C4—24no—
1252C2×C4—24no—
1253C2×C4—216no—
1254C2×C4—22no—
1255C2×C4—22no—
1256C2×C4—22no—
1257C2×C4—28no—
1258C2×C4—48no—
1259C2×C4—48no—
1260C2×C4—48no—
1261C2×C4—48no—
1262C2×C4—44no—
1263C2×C4—3168no—
1264C2×C4—3168no—
1265C2×C4—3168no—
1266C2×C4—3168no—
1267C2×C4—3168no—
1268C2×C4—792no—
1269C2×C4—794no—
1270C2×C4—792no—
1271C2×C4—792no—
1272C2×C4—794no—
1273C2×C4—792no—
1274C2×C4—794no—
1275C2×C4—792no—
1276C2×C4—792no—
1277C2×C4—1582no—
1278C2×C4—1584no—
1279C2×C4—1582no—
1280C2×C4—1584no—
1281C2×C4—1582no—
1282C2×C4—1582no—
1283C2×C4—1582no—
1284C2×C4—1582no—
1285C2×C4—1584no—
1286C2×C4—15816no—
1287C2×C4—1588no—
1288C2×C4—1588no—
1289C2×C4C2×#1192962414yes—
1290C2×C4C24×D7912yes—
1291C2×C4C24×D7914yes—
1292C2×C4C24×D7912yes—
1293C2×C4C24×D7912yes—
1294C2×C4C24×D7912yes—
1295C2×C4C24×D7912yes—
1296C2×C4C24×D7914yes—
1297C2×C4C24×D7912yes—
1298C22—28no—
1299C22—216no—
1300C22—22no—
1301C22—24no—
1302C22—22no—
1303C22—24no—
1304C22—24no—
1305C22—24no—
1306C22—24no—
1307C22—432no—
1308C22—48no—
1309C22—3164no—
1310C22—3168no—
1311C22—3164no—
1312C22—63216no—
1313C22—1582no—
1314C22—1582no—
1315C22—1584no—
1316C22—1582no—
1317C22—1584no—
1318C22—1582no—
1319C22—1584no—
1320C22—1582no—
1321C22—1582no—
1322C22C22×#1192962418yes—
1323C22C22×#1192962412yes—
1324C22C2×#1457920614yes—
1325C22C2×#1457920612yes—
1326C22#1909939912yes—
1327C22C25×D7911yescharacteristic
1328C4—22no—
1329C4—22no—
1330C4—22no—
1331C4—24no—
1332C4—24no—
1333C4—22no—
1334C4—22no—
1335C4—1582no—
1336C4—1582no—
1337C4—1584no—
1338C4—1582no—
1339C4—1584no—
1340C4—1582no—
1341C4—1584no—
1342C4—1582no—
1343C4—1582no—
1344C4C22×#1192962414yes—
1345C2—24no—
1346C2—28no—
1347C2—44no—
1348C2—3162no—
1349C2—3164no—
1350C2—3162no—
1351C2#2377734014yesdirect product factor
1352C2C23×#1192962411yescharacteristic
1353C2C22×#1457920611yescharacteristic
1354C2C2×#1909939911yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC22×C4×D4×C79C2
socleC23×C79C25
hypercenterC22×C4×D4D79
hypocenterC79C2×#3513
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. #23777340C2direct (N × H)
2. C2×#19099296C2semidirect
3. C2×#19099272C2semidirect
4. C2×#19099263C2semidirect
5. C2×#19099262C2semidirect
6. C2×#19099248C2semidirect
7. C2×#19099242C2semidirect
8. C2×#19099239C2semidirect
9. C2×#19099214C2semidirect
10. C2×#19099208C2semidirect
11. C2×#19099207C2semidirect
12. C2×#19099203C2semidirect
13. C2×D4×C22⋊D79C2semidirect
14. C2×#19099178C2semidirect
15. C2×#19099164C2semidirect
16. C2×#19099155C2semidirect
17. C2×#19099146C2semidirect
18. C2×#19099097C2semidirect
19. C2×#19099097C2semidirect
20. C2×#19099074C2semidirect
21. C22×#14579144C2semidirect
22. C2×#19099042C2semidirect
23. C2×#19099035C2semidirect
24. C22×C4×D4×C79C2semidirect
25. C22×#11929624C22semidirect
29. #19099296C22semidirect
30. #19099272C22semidirect
31. #19099263C22semidirect
32. #19099262C22semidirect
33. #19099248C22semidirect
34. #19099242C22semidirect
35. #19099239C22semidirect
36. #19099214C22semidirect
37. #19099208C22semidirect
38. #19099207C22semidirect
39. #19099203C22semidirect
40. D4×C22⋊D79C22semidirect
41. #19099178C22semidirect
42. #19099164C22semidirect
43. #19099155C22semidirect
44. #19099146C22semidirect
45. C2×#14579160C22semidirect
47. #19099097C22semidirect
48. #19099097C22semidirect
49. C2×#14579156C22semidirect
50. C2×#14579155C22semidirect
51. C2×#14579155C22semidirect
52. C2×#14579155C22semidirect
53. C2×#14579154C22semidirect
54. C2×#14579154C22semidirect
55. C2×#14579153C22semidirect
56. C2×#14579153C22semidirect
57. C2×#14579152C22semidirect
58. C2×#14579151C22semidirect
59. C2×#14579149C22semidirect
60. C2×#14579149C22semidirect
61. C2×#14579148C22semidirect
62. C2×#14579147C22semidirect
63. C2×#14579147C22semidirect
64. #19099074C22semidirect
65. C2×#14579146C22semidirect
66. C2×#14579145C22semidirect
69. C2×#14579144C22semidirect
70. C2×#14579144C22semidirect
71. C2×#14579144C22semidirect
72. C2×#14579144C22semidirect
73. C2×#14579144C22semidirect
74. C2×#14579144C22semidirect
75. C2×#14579144C22semidirect
76. C2×#14579144C22semidirect
77. C2×#14579143C22semidirect
78. C2×#14579143C22semidirect
79. C2×#14579142C22semidirect
80. C2×#14579141C22semidirect
81. C2×#14579140C22semidirect
82. C2×#14579140C22semidirect
83. C2×#14579140C22semidirect
84. C2×#14579140C22semidirect
85. C2×#14579139C22semidirect
86. C2×#14579138C22semidirect
87. C2×#14579138C22semidirect
88. C2×#14579136C22semidirect
91. C2×#14579135C22semidirect
92. C2×#14579135C22semidirect
93. C2×#14579134C22semidirect
94. C2×#14579134C22semidirect
96. C2×#14579133C22semidirect
98. C2×#14579132C22semidirect
99. C2×#14579131C22semidirect
101. C2×#14579130C22semidirect
103. #19099042C22semidirect
104. #19099035C22semidirect
105. C2×C4×Dic158C22semidirect
106. C2×C4×Dic158C22semidirect
107. C2×#14579126C22semidirect
108. C2×C4×D316C22semidirect
109. C2×C4×D316C22semidirect
112. C2×#14579123C22semidirect
114. C2×C4×C22⋊D79C22semidirect
115. C2×C4×C22⋊D79C22semidirect
116. C2×C4×C22⋊D79C22semidirect
117. C2×C4×C22⋊D79C22semidirect
118. C2×C4×C22⋊D79C22semidirect
119. C2×C4×C22⋊D79C22semidirect
120. C2×(C22⋊D79)⋊C4C22semidirect
121. C2×(C22⋊D79)⋊C4C22semidirect
122. C2×#14579120C22semidirect
123. C2×#14579119C22semidirect
124. C2×#14579118C22semidirect
125. C2×#14579118C22semidirect
126. C2×#14579118C22semidirect
127. C2×#14579117C22semidirect
128. C22×Dic79⋊C4C22semidirect
129. C22×Dic79⋊C4C22semidirect
130. C2×C4⋊C4×D79C22semidirect
131. C22×C22⋊Dic79C22semidirect
132. C22×(C2×D79)⋊C4C22semidirect
133. C22×(C2×D79)⋊C4C22semidirect
134. C2×C22⋊C4×D79C22semidirect
136. C24×C4×C79C22semidirect
139. C2×C4×D4×C79C22semidirect
140. C2×C4×D4×C79C22semidirect
141. C2×C4×D4×C79C22semidirect
142. C2×C4×D4×C79C22semidirect
143. C2×C4×D4×C79C22semidirect
144. C22×C4⋊C4×C79C22semidirect
145. C22×C22⋊C4×C79C22semidirect
146. C22×C42×C79C22semidirect
149. C2×#11929624C23semidirect
179. #14579160C23semidirect
181. #14579156C23semidirect
182. #14579155C23semidirect
183. #14579155C23semidirect
184. #14579155C23semidirect
185. #14579154C23semidirect
186. #14579154C23semidirect
187. #14579153C23semidirect
188. #14579153C23semidirect
189. #14579152C23semidirect
190. #14579151C23semidirect
191. #14579149C23semidirect
192. #14579149C23semidirect
193. #14579148C23semidirect
194. #14579147C23semidirect
195. #14579147C23semidirect
196. #14579146C23semidirect
197. #14579145C23semidirect
200. #14579144C23semidirect
201. #14579144C23semidirect
202. #14579144C23semidirect
203. #14579144C23semidirect
204. #14579144C23semidirect
205. #14579144C23semidirect
206. #14579144C23semidirect
207. #14579143C23semidirect
208. #14579143C23semidirect
209. #14579142C23semidirect
210. #14579141C23semidirect
211. #14579140C23semidirect
212. #14579140C23semidirect
213. #14579140C23semidirect
214. #14579140C23semidirect
215. #14579139C23semidirect
216. #14579138C23semidirect
217. #14579138C23semidirect
218. #14579136C23semidirect
221. #14579135C23semidirect
222. #14579135C23semidirect
223. #14579134C23semidirect
224. #14579134C23semidirect
226. #14579133C23semidirect
228. #14579132C23semidirect
229. #14579131C23semidirect
231. #14579130C23semidirect
233. C4×Dic158C23semidirect
234. C4×Dic158C23semidirect
235. #14579126C23semidirect
236. C4×D316C23semidirect
237. C4×D316C23semidirect
240. #14579123C23semidirect
242. C4×C22⋊D79C23semidirect
243. C4×C22⋊D79C23semidirect
244. C4×C22⋊D79C23semidirect
245. C4×C22⋊D79C23semidirect
246. C4×C22⋊D79C23semidirect
247. C4×C22⋊D79C23semidirect
248. (C22⋊D79)⋊C4C23semidirect
249. (C22⋊D79)⋊C4C23semidirect
250. #14579120C23semidirect
251. #14579119C23semidirect
252. #14579118C23semidirect
253. #14579118C23semidirect
254. #14579118C23semidirect
255. #14579117C23semidirect
278. C2×Dic79⋊C4C23semidirect
279. C2×Dic79⋊C4C23semidirect
280. C4⋊C4×D79C23semidirect
290. C2×C22⋊Dic79C23semidirect
307. C2×(C2×D79)⋊C4C23semidirect
308. C2×(C2×D79)⋊C4C23semidirect
309. C22⋊C4×D79C23semidirect
330. C23×C4×C79C23semidirect
333. C4×D4×C79C23semidirect
334. C4×D4×C79C23semidirect
335. C4×D4×C79C23semidirect
336. C4×D4×C79C23semidirect
340. C2×C4⋊C4×C79C23semidirect
345. C2×C22⋊C4×C79C23semidirect
350. C2×C42×C79C23semidirect
479. C2×D4×C79#41semidirect
554. D4×C79C2×#41semidirect
671. C2×C79#3513semidirect
701. C22×C4×D4D79semidirect
702. C79C2×#3513semidirect
708. C24×C4C2×D79semidirect
804. C2×C4×D4C2×D79semidirect
805. C2×C4×D4C2×D79semidirect
806. C2×C4×D4C2×D79semidirect
807. C2×C4×D4C2×D79semidirect
808. C2×C4×D4C2×D79semidirect
818. C22×C4⋊C4C2×D79semidirect
823. C22×C22⋊C4C2×D79semidirect
824. C22×C42C2×D79semidirect
872. C23×C4C22×D79semidirect
946. C4×D4C22×D79semidirect
947. C4×D4C22×D79semidirect
948. C4×D4C22×D79semidirect
949. C4×D4C22×D79semidirect
984. C2×C4⋊C4C22×D79semidirect
1018. C2×C22⋊C4C22×D79semidirect
1028. C2×C42C22×D79semidirect
1080. C2×D4#11929624semidirect
1247. D4C2×#11929624semidirect
1351. C2#23777340direct (N × H)

Maximal subgroups

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

subgroupindex
#237773402
C2×#190992962
C2×#190992722
C2×#190992632
C2×#190992622
C2×#190992482
C2×#190992422
C2×#190992392
C2×#190992142
C2×#190992082
C2×#190992072
C2×#190992032
C2×D4×C22⋊D792
C2×#190991782
C2×#190991642
C2×#190991552
C2×#190991462
C2×#190990972
C2×#190990742
C22×#145791442
C2×#190990422
C2×#190990352
C22×C4×D4×C792
C2×#351379