Finite Group Databasebeta

← C2×#23777726 #35195853

Subgroups — C2×#23777726 #35195853

Order 20224.

8814 conjugacy classes of subgroups.

The subgroup lattice has 1480 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777726C2132yesmaximal, direct product factor
2C2×#19099302C212yesmaximal, complemented
3C2×#19099301C212yesmaximal, complemented
4C2×#19099295C211yesmaximal, characteristic, complemented
5C2×#19099233C211yesmaximal, characteristic, complemented
6C2×#19099232C211yesmaximal, characteristic, complemented
7C2×#19099206C211yesmaximal, characteristic, complemented
8C2×#19099202C212yesmaximal, complemented
9C2×#19099201C211yesmaximal, characteristic, complemented
10C2×#19099198C211yesmaximal, characteristic, complemented
11C2×D4×C22⋊D79C211yesmaximal, characteristic, complemented
12C2×D4×C22⋊D79C211yesmaximal, characteristic, complemented
13C2×#19099195C212yesmaximal, complemented
14C2×#19099168C211yesmaximal, characteristic, complemented
15C2×#19099167C211yesmaximal, characteristic, complemented
16C2×#19099163C212yesmaximal, complemented
17C2×#19099131C211yesmaximal, characteristic, complemented
18C2×#19099128C212yesmaximal, complemented
19C2×#19099123C212yesmaximal, complemented
20C2×#19099121C212yesmaximal, complemented
21C2×#127×D79C211yesmaximal, characteristic, complemented
22C2×#19099092C211yesmaximal, characteristic, complemented
23C2×#19099091C211yesmaximal, characteristic, complemented
24C2×#535×C79C211yesmaximal, characteristic, complemented
25C22×#11929625C2211yescharacteristic, complemented
26C22×#11929623C2212yescomplemented
27C23×C22⋊D79C2212yescomplemented
28C23×C22⋊D79C2212yescomplemented
29C22×D4×D79C2212yescomplemented
30C22×D4×D79C2212yescomplemented
31C22×D4×D79C2211yescharacteristic, complemented
32C22×D4×D79C2211yescharacteristic, complemented
33C22×D4×D79C2211yescharacteristic, complemented
34C22×D4×D79C2212yescomplemented
35#19099302C22132yescomplemented
36#19099301C22132yescomplemented
37#19099295C22116yescomplemented
38#19099233C22116yescomplemented
39#19099232C22116yescomplemented
40#19099206C22116yescomplemented
41#19099202C22132yescomplemented
42#19099201C22116yescomplemented
43#19099198C22116yescomplemented
44D4×C22⋊D79C22116yescomplemented
45D4×C22⋊D79C22116yescomplemented
46#19099195C22132yescomplemented
47#19099168C22116yescomplemented
48#19099167C22116yescomplemented
49#19099163C22132yescomplemented
50#19099131C22116yescomplemented
51#19099128C22132yescomplemented
52#19099123C22132yescomplemented
53#19099121C22132yescomplemented
54C2×#14579158C2211yescharacteristic, complemented
55C2×#14579157C2211yescharacteristic
56C2×#14579157C2212yescomplemented
57C2×#14579157C2211yescharacteristic, complemented
58C2×#14579157C2211yescharacteristic, complemented
59C2×#14579157C2212yescomplemented
60C2×#14579157C2212yescomplemented
61#127×D79C22116yescomplemented
62#19099092C22116yescomplemented
63#19099091C22116yescomplemented
64C2×#14579156C2211yescharacteristic, complemented
65C2×#14579154C2211yescharacteristic, complemented
66C2×#14579154C2212yescomplemented
67C2×#14579153C2211yescharacteristic, complemented
68C2×#14579151C2211yescharacteristic, complemented
69C2×#14579150C2211yescharacteristic, complemented
70C2×#14579147C2212yescomplemented
71C2×#14579147C2211yescharacteristic, complemented
72C2×#14579146C2212yescomplemented
73C2×#14579146C2211yescharacteristic, complemented
74C2×#14579146C2212yescomplemented
75C2×#14579145C2212yescomplemented
76C2×#14579144C2212yescomplemented
77C2×#14579143C2212yescomplemented
78C2×#14579143C2211yescharacteristic, complemented
79C2×#14579143C2212yescomplemented
80C2×#14579143C2212yescomplemented
81C2×#14579142C2212yescomplemented
82C2×#14579142C2212yescomplemented
83C2×#14579139C2211yescharacteristic, complemented
84C2×#14579137C2211yescharacteristic, complemented
85C2×#14579135C2211yescharacteristic, complemented
86C2×#14579135C2211yescharacteristic, complemented
87C2×#14579135C2212yescomplemented
88C2×#14579134C2211yescharacteristic
89C2×#14579134C2212yescomplemented
90C2×#14579134C2212yescomplemented
91C2×#14579134C2212yescomplemented
92C2×#14579134C2212yescomplemented
93C2×#14579134C2212yescomplemented
94C2×#14579133C2212yescomplemented
95C2×#14579133C2212yescomplemented
96C2×#14579133C2212yescomplemented
97C2×#14579133C2212yescomplemented
98C2×#14579133C2212yescomplemented
99C2×#14579133C2212yescomplemented
100C2×#14579133C2212yescomplemented
101C2×#14579132C2211yescharacteristic
102C2×#14579132C2211yescharacteristic, complemented
103C2×#14579132C2211yescharacteristic, complemented
104C2×#14579132C2212yescomplemented
105C2×#14579132C2212yescomplemented
106C2×#14579132C2212yescomplemented
107C2×#14579131C2212yescomplemented
108C2×#14579131C2212yescomplemented
109C2×#14579131C2212yescomplemented
110C2×#14579130C2212yescomplemented
111C2×#14579130C2212yescomplemented
112C2×#14579129C2212yescomplemented
113C2×#14579129C2212yescomplemented
114C2×#14579129C2212yescomplemented
115C2×#14579129C2212yescomplemented
116C2×#14579129C2212yescomplemented
117C2×Q8×Dic79C2211yescharacteristic, complemented
118C2×C4×Dic158C2211yescharacteristic, complemented
119C2×C4×D316C2211yescharacteristic, complemented
120C2×C4×D316C2211yescharacteristic, complemented
121C2×C4×D316C2211yescharacteristic, complemented
122C2×D4×Dic79C2211yescharacteristic, complemented
123C2×D4×Dic79C2211yescharacteristic, complemented
124C2×D4×Dic79C2211yescharacteristic, complemented
125C2×C4×C22⋊D79C2211yescharacteristic, complemented
126C2×C4×C22⋊D79C2211yescharacteristic, complemented
127C2×C4×C22⋊D79C2212yescomplemented
128C2×(C22⋊D79)⋊C4C2212yescomplemented
129C2×(C22⋊D79)⋊C4C2212yescomplemented
130C2×#14579118C2211yescharacteristic, complemented
131C2×#14579117C2212yescomplemented
132C22×(C2×D79)⋊C4C2212yescomplemented
133C2×C22⋊C4×D79C2212yescomplemented
134C2×C42×D79C2211yescharacteristic, complemented
135C22×#41×C79C2211yescharacteristic, complemented
136C23×D4×C79C2211yescharacteristic, complemented
137#535×C79C22116yescomplemented
138C2×#127×C79C2211yescharacteristic, complemented
139C2×#127×C79C2211yescharacteristic, complemented
140C2×#124×C79C2211yescharacteristic, complemented
141C2×#124×C79C2211yescharacteristic, complemented
142C2×#121×C79C2212yescomplemented
143C2×#121×C79C2212yescomplemented
144C2×#120×C79C2212yescomplemented
145C2×#120×C79C2212yescomplemented
146C2×#117×C79C2211yescharacteristic, complemented
147C24×D79C2312yes—
148C24×D79C2312yes—
149C24×D79C2312yes—
150C2×#11929625—44no—
151C2×#11929625C2318yescomplemented
152C2×#11929623—48no—
153C2×#11929623C23116yescomplemented
154C22×Dic158C2311yescharacteristic
155C22×D316C2311yescharacteristic
156C22×D316C2311yescharacteristic
157C22×D316C2311yescharacteristic
158C22×D316C2312yes—
159C22×D316C2312yes—
160C22×D316C2312yes—
161C22×C22⋊D79—48no—
162C22×C22⋊D79—48no—
163C22×C22⋊D79C2312yes—
164C22×C22⋊D79C2312yes—
165C22×C22⋊D79C2311yescharacteristic
166C22×C22⋊D79C2312yes—
167C22×C22⋊D79C2311yescharacteristic
168C22×C22⋊D79C2312yes—
169C22×C22⋊D79C2312yes—
170C22×C22⋊D79C2312yes—
171C22×C22⋊D79C2312yes—
172C22×C22⋊D79C2312yes—
173C22×C22⋊D79C2312yes—
174C22×C22⋊D79C2312yes—
175C22×C22⋊D79C2312yes—
176C22×C22⋊D79C2312yes—
177C22×C22⋊D79C2312yes—
178C22×C22⋊D79C2312yes—
179C22×C22⋊D79C23116yescomplemented
180C22×C22⋊D79C23116yescomplemented
181C2×D4×D79—48no—
182C2×D4×D79—44no—
183C2×D4×D79—44no—
184C2×D4×D79—44no—
185C2×D4×D79—48no—
186C2×D4×D79—48no—
187C2×D4×D79C23116yescomplemented
188C2×D4×D79C23116yescomplemented
189C2×D4×D79C2318yescomplemented
190C2×D4×D79C2318yescomplemented
191C2×D4×D79C2318yescomplemented
192C2×D4×D79C23116yescomplemented
193C23×Dic79C2312yes—
194C23×Dic79C2312yes—
195C23×Dic79C2312yes—
196C22×C4×D79C2311yescharacteristic
197C22×C4×D79C2311yescharacteristic
198C22×C4×D79C2311yescharacteristic
199C22×C4×D79C2311yescharacteristic
200C22×C4×D79C2312yes—
201C22×C4×D79C2312yes—
202C22×C4×D79C2312yes—
203#14579158C2318yescomplemented
204#14579157C2318yes—
205#14579157C23116yescomplemented
206#14579157C23116yescomplemented
207#14579157C2318yescomplemented
208#14579157C2318yescomplemented
209#14579157C23116yescomplemented
210#14579156C2318yescomplemented
211#14579154C23116yescomplemented
212#14579154C2318yescomplemented
213#14579153C2318yescomplemented
214#14579151C2318yescomplemented
215#14579150C2318yescomplemented
216#14579147C23116yescomplemented
217#14579147C2318yescomplemented
218#14579146C23116yescomplemented
219#14579146C23116yescomplemented
220#14579146C2318yescomplemented
221#14579145C23116yescomplemented
222#14579144C23116yescomplemented
223#14579143C23116yescomplemented
224#14579143C23116yescomplemented
225#14579143C2318yescomplemented
226#14579143C23116yescomplemented
227#14579142C23116yescomplemented
228#14579142C23116yescomplemented
229#14579139C2318yescomplemented
230#14579137C2318yescomplemented
231#14579135C2318yescomplemented
232#14579135C2318yescomplemented
233#14579135C23116yescomplemented
234#14579134C2318yes—
235#14579134C23116yescomplemented
236#14579134C23116yescomplemented
237#14579134C23116yescomplemented
238#14579134C23116yescomplemented
239#14579134C23116yescomplemented
240#14579133C23116yescomplemented
241#14579133C23116yescomplemented
242#14579133C23116yescomplemented
243#14579133C23116yescomplemented
244#14579133C23116yescomplemented
245#14579133C23116yescomplemented
246#14579133C23116yescomplemented
247#14579132C2318yes—
248#14579132C23116yescomplemented
249#14579132C2318yescomplemented
250#14579132C2318yescomplemented
251#14579132C23116yescomplemented
252#14579132C23116yescomplemented
253#14579131C23116yescomplemented
254#14579131C23116yescomplemented
255#14579131C23116yescomplemented
256#14579130C23116yescomplemented
257#14579130C23116yescomplemented
258#14579129C23116yescomplemented
259#14579129C23116yescomplemented
260#14579129C23116yescomplemented
261#14579129C23116yescomplemented
262#14579129C23116yescomplemented
263Q8×Dic79C2318yescomplemented
264C4×Dic158C2318yescomplemented
265C4×D316C2318yescomplemented
266C4×D316C2318yescomplemented
267C4×D316C2318yescomplemented
268D4×Dic79C2318yescomplemented
269D4×Dic79C2318yescomplemented
270D4×Dic79C2318yescomplemented
271C4×C22⋊D79C23116yescomplemented
272C4×C22⋊D79C2318yescomplemented
273C4×C22⋊D79C2318yescomplemented
274(C22⋊D79)⋊C4C23116yescomplemented
275(C22⋊D79)⋊C4C23116yescomplemented
276#14579118C2318yescomplemented
277#14579117C23116yescomplemented
278C2×C4⋊Dic79C2311yescharacteristic
279C2×C4⋊Dic79C2311yescharacteristic
280C2×C4⋊Dic79C2311yescharacteristic
281C2×C4⋊Dic79C2311yescharacteristic
282C2×C4⋊Dic79C2312yes—
283C2×Dic79⋊C4C2312yes—
284C2×Dic79⋊C4C2312yes—
285C2×Dic79⋊C4C2311yescharacteristic
286C2×Dic79⋊C4C2311yescharacteristic
287C2×Dic79⋊C4C2311yescharacteristic
288C2×Dic79⋊C4C2312yes—
289C2×Dic79⋊C4C2311yescharacteristic
290C2×Dic79⋊C4C2311yescharacteristic
291C2×Dic79⋊C4C2311yescharacteristic
292C2×C22⋊Dic79C2312yes—
293C2×C22⋊Dic79C2312yes—
294C2×C22⋊Dic79C2312yes—
295C2×C22⋊Dic79C2311yescharacteristic
296C2×C22⋊Dic79C2311yescharacteristic
297C2×C22⋊Dic79C2312yes—
298C2×C22⋊Dic79C2312yes—
299C2×C22⋊Dic79C2312yes—
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2312yes—
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2312yes—
304C2×(C2×D79)⋊C4C2312yes—
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2312yes—
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2312yes—
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C2×(C2×D79)⋊C4C2312yes—
312C2×(C2×D79)⋊C4C2312yes—
313C2×(C2×D79)⋊C4C23116yescomplemented
314C22⋊C4×D79C23116yescomplemented
315C2×C4×Dic79C2311yescharacteristic
316C2×C4×Dic79C2311yescharacteristic
317C2×C4×Dic79C2311yescharacteristic
318C2×C4×Dic79C2312yes—
319C2×C4×Dic79C2311yescharacteristic
320C42×D79C2318yescomplemented
321C25×C79C2312yes—
322C2×#41×C79—44no—
323C2×#41×C79C2318yescomplemented
324C22×Q8×C79C2311yescharacteristic
325C22×D4×C79—44no—
326C22×D4×C79C2311yescharacteristic
327C22×D4×C79C2311yescharacteristic
328C22×D4×C79C2311yescharacteristic
329C22×D4×C79C2312yes—
330C22×D4×C79C2312yes—
331C22×D4×C79C2312yes—
332C22×D4×C79C2312yes—
333C22×D4×C79C2312yes—
334C22×D4×C79C2312yes—
335C22×D4×C79C2318yescomplemented
336C23×C4×C79C2311yescharacteristic
337C23×C4×C79C2312yes—
338#127×C79C2318yescomplemented
339#127×C79C2318yescomplemented
340#124×C79C2318yescomplemented
341#124×C79C2318yescomplemented
342#121×C79C23116yescomplemented
343#121×C79C23116yescomplemented
344#120×C79C23116yescomplemented
345#120×C79C23116yescomplemented
346#117×C79C2318yescomplemented
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C4⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2312yes—
352C2×C22⋊C4×C79C2312yes—
353C2×C22⋊C4×C79C2312yes—
354C2×C22⋊C4×C79C2312yes—
355C2×C42×C79C2311yescharacteristic
356C2×C42×C79C2311yescharacteristic
357C23×D79—28no—
358C23×D79—28no—
359C23×D79—44no—
360C23×D79—44no—
361C23×D79—44no—
362C23×D79—44no—
363C23×D79—44no—
364C23×D79—44no—
365C23×D79—44no—
366C23×D79C2411yescharacteristic
367C23×D79C2412yes—
368C23×D79C2412yes—
369C23×D79C2411yescharacteristic
370C23×D79C2418yes—
371C23×D79C2418yes—
372C23×D79C2418yes—
373#11929625—416no—
374#11929623—432no—
375C2×Dic158—24no—
376C2×Dic158C2414yes—
377C2×D316—24no—
378C2×D316—24no—
379C2×D316—24no—
380C2×D316—44no—
381C2×D316—44no—
382C2×D316—44no—
383C2×D316C2414yes—
384C2×D316C2414yes—
385C2×D316C2414yes—
386C2×D316C2418yes—
387C2×D316C2418yes—
388C2×D316C2418yes—
389C2×C22⋊D79—28no—
390C2×C22⋊D79—28no—
391C2×C22⋊D79—24no—
392C2×C22⋊D79—28no—
393C2×C22⋊D79—24no—
394C2×C22⋊D79—432no—
395C2×C22⋊D79—432no—
396C2×C22⋊D79—44no—
397C2×C22⋊D79—44no—
398C2×C22⋊D79—44no—
399C2×C22⋊D79—44no—
400C2×C22⋊D79—44no—
401C2×C22⋊D79—44no—
402C2×C22⋊D79—44no—
403C2×C22⋊D79—44no—
404C2×C22⋊D79—44no—
405C2×C22⋊D79—44no—
406C2×C22⋊D79—44no—
407C2×C22⋊D79C2418yes—
408C2×C22⋊D79C2418yes—
409C2×C22⋊D79C2418yes—
410C2×C22⋊D79C2414yes—
411C2×C22⋊D79C2414yes—
412C2×C22⋊D79C2418yes—
413C2×C22⋊D79C2418yes—
414C2×C22⋊D79C2418yes—
415C2×C22⋊D79C2418yes—
416C2×C22⋊D79C2418yes—
417C2×C22⋊D79C2418yes—
418C2×C22⋊D79C2418yes—
419C2×C22⋊D79C2418yes—
420C2×C22⋊D79C2418yes—
421C2×C22⋊D79C2418yes—
422C2×C22⋊D79C2418yes—
423D4×D79—432no—
424D4×D79—432no—
425D4×D79—416no—
426D4×D79—416no—
427D4×D79—416no—
428D4×D79—432no—
429C22×Dic79—28no—
430C22×Dic79—44no—
431C22×Dic79—44no—
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2418yes—
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2412yes—
438C22×Dic79C2412yes—
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2418yes—
441C22×Dic79C2418yes—
442C22×Dic79C2411yescharacteristic
443C2×C4×D79—24no—
444C2×C4×D79—24no—
445C2×C4×D79—24no—
446C2×C4×D79—24no—
447C2×C4×D79—44no—
448C2×C4×D79—44no—
449C2×C4×D79—44no—
450C2×C4×D79C2414yes—
451C2×C4×D79C2414yes—
452C2×C4×D79C2414yes—
453C2×C4×D79C2414yes—
454C2×C4×D79C2418yes—
455C2×C4×D79C2418yes—
456C2×C4×D79C2418yes—
457C4⋊Dic79C2414yes—
458C4⋊Dic79C2414yes—
459C4⋊Dic79C2414yes—
460C4⋊Dic79C2414yes—
461C4⋊Dic79C2418yes—
462Dic79⋊C4C2418yes—
463Dic79⋊C4C2418yes—
464Dic79⋊C4C2414yes—
465Dic79⋊C4C2414yes—
466Dic79⋊C4C2414yes—
467Dic79⋊C4C2418yes—
468Dic79⋊C4C2414yes—
469Dic79⋊C4C2414yes—
470Dic79⋊C4C2414yes—
471C22⋊Dic79C2418yes—
472C22⋊Dic79C2418yes—
473C22⋊Dic79C2418yes—
474C22⋊Dic79C2414yes—
475C22⋊Dic79C2414yes—
476C22⋊Dic79C2418yes—
477C22⋊Dic79C2418yes—
478C22⋊Dic79C2418yes—
479(C2×D79)⋊C4C2414yes—
480(C2×D79)⋊C4C2418yes—
481(C2×D79)⋊C4C2414yes—
482(C2×D79)⋊C4C2418yes—
483(C2×D79)⋊C4C2418yes—
484(C2×D79)⋊C4C2414yes—
485(C2×D79)⋊C4C2414yes—
486(C2×D79)⋊C4C2418yes—
487(C2×D79)⋊C4C2414yes—
488(C2×D79)⋊C4C2418yes—
489(C2×D79)⋊C4C2414yes—
490(C2×D79)⋊C4C2418yes—
491(C2×D79)⋊C4C2418yes—
492C4×Dic79C2414yes—
493C4×Dic79C2414yes—
494C4×Dic79C2414yes—
495C4×Dic79C2418yes—
496C4×Dic79C2414yes—
497C24×C79—44no—
498C24×C79—44no—
499C24×C79—44no—
500C24×C79C2412yes—
501C24×C79C2412yes—
502C24×C79C2412yes—
503C24×C79C2411yescharacteristic
504C24×C79C2418yes—
505#41×C79—416no—
506C2×Q8×C79—24no—
507C2×Q8×C79C2414yes—
508C2×D4×C79—24no—
509C2×D4×C79—24no—
510C2×D4×C79—24no—
511C2×D4×C79—416no—
512C2×D4×C79—44no—
513C2×D4×C79—44no—
514C2×D4×C79—44no—
515C2×D4×C79—44no—
516C2×D4×C79—44no—
517C2×D4×C79—44no—
518C2×D4×C79C2414yes—
519C2×D4×C79C2414yes—
520C2×D4×C79C2414yes—
521C2×D4×C79C2418yes—
522C2×D4×C79C2418yes—
523C2×D4×C79C2418yes—
524C2×D4×C79C2418yes—
525C2×D4×C79C2418yes—
526C2×D4×C79C2418yes—
527C22×C4×C79—24no—
528C22×C4×C79—44no—
529C22×C4×C79C2411yescharacteristic
530C22×C4×C79C2411yescharacteristic
531C22×C4×C79C2411yescharacteristic
532C22×C4×C79C2411yescharacteristic
533C22×C4×C79C2412yes—
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2414yes—
536C22×C4×C79C2418yes—
537C22×C4×C79C2411yescharacteristic
538C4⋊C4×C79C2414yes—
539C4⋊C4×C79C2414yes—
540C22⋊C4×C79C2414yes—
541C22⋊C4×C79C2414yes—
542C22⋊C4×C79C2418yes—
543C22⋊C4×C79C2418yes—
544C22⋊C4×C79C2418yes—
545C22⋊C4×C79C2418yes—
546C42×C79C2414yes—
547C42×C79C2414yes—
548C23×C79—24no—
549C23×C79—24no—
550C23×C79—24no—
551C23×C79—22no—
552C23×C79—22no—
553C23×C79—24no—
554C23×C79—24no—
555C23×C79—24no—
556C23×C79—24no—
557C23×C79—24no—
558C23×C79—24no—
559C23×C79—22no—
560C23×C79—48no—
561C23×C79—48no—
562C23×C79—48no—
563C23×C79—816no—
564C23×C79C2514yes—
565C23×C79C2514yes—
566C23×C79C2514yes—
567C23×C79C2512yes—
568C23×C79C2511yescharacteristic
569C22×D79—22no—
570C22×D79—22no—
571C22×D79—22no—
572C22×D79—24no—
573C22×D79—24no—
574C22×D79—24no—
575C22×D79—22no—
576C22×D79—24no—
577C22×D79—24no—
578C22×D79—22no—
579C22×D79—24no—
580C22×D79—216no—
581C22×D79—216no—
582C22×D79—48no—
583C22×D79—48no—
584C22×D79—48no—
585C22×D79—48no—
586C22×D79—48no—
587C22×D79—48no—
588C22×D79—48no—
589C22×D79—816no—
590C22×D79—816no—
591C22×D79—816no—
592C22×D79H(5,𝔽2)14yes—
593C22×D79C2512yes—
594C22×D79C2514yes—
595C22×D79C2514yes—
596C22×D79C2512yes—
597Q8×C79—28no—
598D4×C79—28no—
599D4×C79—28no—
600D4×C79—28no—
601D4×C79—48no—
602D4×C79—48no—
603D4×C79—48no—
604D4×C79—48no—
605D4×C79—48no—
606D4×C79—48no—
607C2×C4×C79—22no—
608C2×C4×C79—22no—
609C2×C4×C79—22no—
610C2×C4×C79—22no—
611C2×C4×C79—24no—
612C2×C4×C79—22no—
613C2×C4×C79—28no—
614C2×C4×C79—48no—
615C2×C4×C79H(5,𝔽2)14yes—
616C2×C4×C79C2514yes—
617C2×C4×C79C2512yes—
618C2×C4×C79C2512yes—
619C2×C4×C79C2512yes—
620C2×C4×C79C2512yes—
621C2×C4×C79C2512yes—
622C2×C4×C79C2512yes—
623C22⋊D79—216no—
624C22⋊D79—28no—
625C22⋊D79—216no—
626C22⋊D79—216no—
627C22⋊D79—28no—
628C22⋊D79—48no—
629C22⋊D79—48no—
630C22⋊D79—48no—
631C22⋊D79—48no—
632C22⋊D79—48no—
633C22⋊D79—48no—
634C22⋊D79—48no—
635C22⋊D79—48no—
636C22⋊D79—48no—
637C22⋊D79—48no—
638C22⋊D79—48no—
639C2×Dic79—22no—
640C2×Dic79—22no—
641C2×Dic79—22no—
642C2×Dic79—24no—
643C2×Dic79—24no—
644C2×Dic79—22no—
645C2×Dic79—22no—
646C2×Dic79—216no—
647C2×Dic79—48no—
648C2×Dic79—48no—
649C2×Dic79H(5,𝔽2)14yes—
650C2×Dic79C2512yes—
651C2×Dic79C2512yes—
652C2×Dic79C2512yes—
653C2×Dic79C2512yes—
654C2×Dic79C2514yes—
655C2×Dic79C2514yes—
656C2×Dic79C2512yes—
657C2×Dic79C2512yes—
658D316—28no—
659D316—28no—
660D316—28no—
661D316—48no—
662D316—48no—
663D316—48no—
664C4×D79—28no—
665C4×D79—28no—
666C4×D79—28no—
667C4×D79—28no—
668C4×D79—48no—
669C4×D79—48no—
670C4×D79—48no—
671Dic158—28no—
672C22×C79—22no—
673C22×C79—22no—
674C22×C79—24no—
675C22×C79—24no—
676C22×C79—24no—
677C22×C79—24no—
678C22×C79—24no—
679C22×C79—24no—
680C22×C79—24no—
681C22×C79—24no—
682C22×C79—24no—
683C22×C79—22no—
684C22×C79—48no—
685C22×C79—48no—
686C22×C79—48no—
687C22×C79—44no—
688C22×C79—816no—
689C22×C79C2×H(5,𝔽2)12yes—
690C22×C79C2×H(5,𝔽2)12yes—
691C22×C79C2×H(5,𝔽2)12yes—
692C22×C79C2611yescharacteristic
693C2×D79—22no—
694C2×D79—22no—
695C2×D79—28no—
696C2×D79—22no—
697C2×D79—24no—
698C2×D79—24no—
699C2×D79—24no—
700C2×D79—22no—
701C2×D79—24no—
702C2×D79—24no—
703C2×D79—24no—
704C2×D79—22no—
705C2×D79—48no—
706C2×D79—44no—
707C2×D79—48no—
708C2×D79—816no—
709C2×D79—816no—
710C2×D79—816no—
711C2×D79C2×H(5,𝔽2)14yes—
712C4×C79—22no—
713C4×C79—24no—
714C4×C79—22no—
715C4×C79—22no—
716C4×C79—22no—
717C4×C79—22no—
718C4×C79C2×H(5,𝔽2)14yes—
719Dic79—24no—
720Dic79—22no—
721Dic79—22no—
722Dic79—22no—
723Dic79—22no—
724Dic79—22no—
725Dic79—24no—
726Dic79C2×H(5,𝔽2)14yes—
727C2×#3543—791nomaximal, Sylow
728C2×C79—44no—
729C2×C79—44no—
730C2×C79—44no—
731C2×C79—42no—
732C2×C79#354314yescomplemented
733C2×C79C22×H(5,𝔽2)11yescharacteristic
734C2×C79C22×H(5,𝔽2)11yescharacteristic
735C2×C79C22×H(5,𝔽2)11yescharacteristic
736D79—24no—
737D79—44no—
738D79—42no—
739D79—44no—
740#3543—7932no—
741C2×#560—792no—
742C2×#560—792no—
743C2×#559—791no—
744C2×#550—791no—
745C2×#550—791no—
746C2×#546—791no—
747C2×#546—791no—
748C2×#546—792no—
749C2×D42—791no—
750C2×D42—791no—
751C2×D42—791no—
752C2×D42—792no—
753C2×#540—791no—
754C2×#540—792no—
755C2×#540—791no—
756C2×#535—791no—
757C2×#535—792no—
758C2×#535D7911yescharacteristic, complemented
759C2×#534—792no—
760C2×#534—792no—
761C22×#127—791no—
762C2×#529—791no—
763C2×#529—791no—
764C79C2×#354311yescharacteristic, complemented, Sylow
765C22×#41—791no—
766C22×#41—792no—
767C22×#41C2×D7911yescharacteristic, complemented
768C23×D4—792no—
769C23×D4—792no—
770C23×D4—792no—
771C23×D4—791no—
772C23×D4—791no—
773C23×D4—792no—
774C23×D4—792no—
775C23×D4—791no—
776C23×D4C2×D7911yescharacteristic, complemented
777#560—7932no—
778#560—7932no—
779#559—7916no—
780#550—7916no—
781#550—7916no—
782#546—7916no—
783#546—7916no—
784#546—7932no—
785D42—7916no—
786D42—7916no—
787D42—7916no—
788D42—7932no—
789#540—7916no—
790#540—7932no—
791#540—7916no—
792#535—7916no—
793#535—7932no—
794#535C2×D79116yescomplemented
795#534—7932no—
796#534—7932no—
797C2×#127—792no—
798C2×#127—791no—
799C2×#127—791no—
800C2×#127—792no—
801C2×#127—791no—
802C2×#127—792no—
803C2×#127—7916no—
804C2×#127—791no—
805C2×#127C2×D7911yescharacteristic, complemented
806C2×#127C2×D7911yescharacteristic, complemented
807#529—7916no—
808#529—7916no—
809C2×#126—791no—
810C2×#126—792no—
811C2×#126—791no—
812C2×#125—791no—
813C2×#125—791no—
814C2×#124—791no—
815C2×#124—791no—
816C2×#124—792no—
817C2×#124C2×D7911yescharacteristic, complemented
818C2×#124C2×D7911yescharacteristic, complemented
819C2×#123—792no—
820C2×#123—792no—
821C2×#123—792no—
822C2×#123—791no—
823C2×#123—792no—
824C2×#123—792no—
825C2×#123—792no—
826C2×#123—791no—
827C2×#123—792no—
828C2×#123—792no—
829C2×#123—792no—
830C2×C22⋊Q8—791no—
831C2×C22⋊Q8—791no—
832C2×#121—791no—
833C2×#121—792no—
834C2×#121—792no—
835C2×#121—792no—
836C2×#121—792no—
837C2×#121—792no—
838C2×#121—791no—
839C2×#121—792no—
840C2×#121—791no—
841C2×#121—792no—
842C2×#121—792no—
843C2×#121—792no—
844C2×#121—792no—
845C2×#121—792no—
846C2×#121—791no—
847C2×#121—791no—
848C2×#121—791no—
849C2×#121—792no—
850C2×#121—792no—
851C2×#121—792no—
852C2×#121—792no—
853C2×#121—792no—
854C2×#121C2×D7912yescomplemented
855C2×#121C2×D7912yescomplemented
856C2×#120—792no—
857C2×#120—792no—
858C2×#120—792no—
859C2×#120—792no—
860C2×#120—792no—
861C2×#120—792no—
862C2×#120—792no—
863C2×#120—792no—
864C2×#120—792no—
865C2×#120—792no—
866C2×#120C2×D7912yescomplemented
867C2×#120C2×D7912yescomplemented
868C2×C4×Q8—791no—
869C2×C4×Q8—791no—
870C2×C4×D4—791no—
871C2×C4×D4—791no—
872C2×C4×D4—791no—
873C2×C4×D4—791no—
874C2×C4×D4—791no—
875C2×C4×D4—792no—
876C2×C4×D4—792no—
877C2×C4×D4—792no—
878C2×C4×D4—791no—
879C2×C4×D4—791no—
880C2×C4×D4—791no—
881C2×#117—792no—
882C2×#117—791no—
883C2×#117C2×D7911yescharacteristic, complemented
884C22×C22⋊C4—792no—
885C22×C22⋊C4—792no—
886C22×C42—791no—
887C25—792no—
888C25—792no—
889C25—792no—
890C25C22×D7912yes—
891C2×#41—44no—
892C2×#41—3168no—
893C2×#41—3164no—
894C2×#41—798no—
895C2×#41—7916no—
896C2×#41C22×D7918yescomplemented
897C22×Q8—791no—
898C22×Q8C22×D7911yescharacteristic
899C22×D4—44no—
900C22×D4—3168no—
901C22×D4—3168no—
902C22×D4—3164no—
903C22×D4—3164no—
904C22×D4—3164no—
905C22×D4—3168no—
906C22×D4—3168no—
907C22×D4—3168no—
908C22×D4—792no—
909C22×D4—792no—
910C22×D4—792no—
911C22×D4—792no—
912C22×D4—792no—
913C22×D4—792no—
914C22×D4—792no—
915C22×D4—792no—
916C22×D4—792no—
917C22×D4—792no—
918C22×D4—792no—
919C22×D4—7916no—
920C22×D4—7916no—
921C22×D4—7916no—
922C22×D4—798no—
923C22×D4—798no—
924C22×D4—7916no—
925C22×D4—7916no—
926C22×D4—798no—
927C22×D4—792no—
928C22×D4—791no—
929C22×D4—792no—
930C22×D4—791no—
931C22×D4—792no—
932C22×D4—792no—
933C22×D4—792no—
934C22×D4—792no—
935C22×D4—791no—
936C22×D4—791no—
937C22×D4—791no—
938C22×D4C22×D7911yescharacteristic
939C22×D4C22×D7911yescharacteristic
940C22×D4C22×D7911yescharacteristic
941C22×D4C22×D7912yes—
942C22×D4C22×D7912yes—
943C22×D4C22×D7912yes—
944C22×D4C22×D7912yes—
945C22×D4C22×D7912yes—
946C22×D4C22×D7912yes—
947C22×D4C22×D7918yescomplemented
948C23×C4—792no—
949C23×C4—792no—
950C23×C4—792no—
951C23×C4—792no—
952C23×C4—792no—
953C23×C4—792no—
954C23×C4—791no—
955C23×C4—791no—
956C23×C4—791no—
957C23×C4—791no—
958C23×C4C22×D7911yescharacteristic
959C23×C4C22×D7912yes—
960#127—7916no—
961#127—798no—
962#127—798no—
963#127—7916no—
964#127—798no—
965#127—7916no—
966#127—798no—
967#127C22×D7918yescomplemented
968#127C22×D7918yescomplemented
969#126—798no—
970#126—7916no—
971#126—798no—
972#125—798no—
973#125—798no—
974#124—798no—
975#124—798no—
976#124—7916no—
977#124C22×D7918yescomplemented
978#124C22×D7918yescomplemented
979#123—7916no—
980#123—7916no—
981#123—7916no—
982#123—798no—
983#123—7916no—
984#123—7916no—
985#123—7916no—
986#123—798no—
987#123—7916no—
988#123—7916no—
989#123—7916no—
990C22⋊Q8—798no—
991C22⋊Q8—798no—
992#121—798no—
993#121—7916no—
994#121—7916no—
995#121—7916no—
996#121—7916no—
997#121—7916no—
998#121—798no—
999#121—7916no—
1000#121—798no—
1001#121—7916no—
1002#121—7916no—
1003#121—7916no—
1004#121—7916no—
1005#121—7916no—
1006#121—798no—
1007#121—798no—
1008#121—798no—
1009#121—7916no—
1010#121—7916no—
1011#121—7916no—
1012#121—7916no—
1013#121—7916no—
1014#121C22×D79116yescomplemented
1015#121C22×D79116yescomplemented
1016#120—7916no—
1017#120—7916no—
1018#120—7916no—
1019#120—7916no—
1020#120—7916no—
1021#120—7916no—
1022#120—7916no—
1023#120—7916no—
1024#120—7916no—
1025#120—7916no—
1026#120C22×D79116yescomplemented
1027#120C22×D79116yescomplemented
1028C4×Q8—798no—
1029C4×Q8—798no—
1030C4×D4—798no—
1031C4×D4—798no—
1032C4×D4—798no—
1033C4×D4—798no—
1034C4×D4—798no—
1035C4×D4—7916no—
1036C4×D4—7916no—
1037C4×D4—7916no—
1038C4×D4—798no—
1039C4×D4—798no—
1040C4×D4—798no—
1041#117—7916no—
1042#117—798no—
1043#117C22×D7918yescomplemented
1044C2×C4⋊C4—792no—
1045C2×C4⋊C4—791no—
1046C2×C4⋊C4—792no—
1047C2×C4⋊C4—791no—
1048C2×C4⋊C4—791no—
1049C2×C4⋊C4—791no—
1050C2×C4⋊C4—791no—
1051C2×C4⋊C4—791no—
1052C2×C4⋊C4—791no—
1053C2×C4⋊C4—792no—
1054C2×C4⋊C4—791no—
1055C2×C4⋊C4—791no—
1056C2×C4⋊C4—792no—
1057C2×C4⋊C4—791no—
1058C2×C4⋊C4C22×D7911yescharacteristic
1059C2×C4⋊C4C22×D7911yescharacteristic
1060C2×C22⋊C4—792no—
1061C2×C22⋊C4—792no—
1062C2×C22⋊C4—792no—
1063C2×C22⋊C4—791no—
1064C2×C22⋊C4—791no—
1065C2×C22⋊C4—792no—
1066C2×C22⋊C4—792no—
1067C2×C22⋊C4—792no—
1068C2×C22⋊C4—791no—
1069C2×C22⋊C4—792no—
1070C2×C22⋊C4—791no—
1071C2×C22⋊C4—792no—
1072C2×C22⋊C4—792no—
1073C2×C22⋊C4—7916no—
1074C2×C22⋊C4—791no—
1075C2×C22⋊C4—791no—
1076C2×C22⋊C4—791no—
1077C2×C22⋊C4—791no—
1078C2×C22⋊C4—792no—
1079C2×C22⋊C4—792no—
1080C2×C22⋊C4—792no—
1081C2×C22⋊C4—792no—
1082C2×C22⋊C4—7916no—
1083C2×C22⋊C4C22×D7912yes—
1084C2×C22⋊C4C22×D7912yes—
1085C2×C22⋊C4C22×D7911yescharacteristic
1086C2×C22⋊C4C22×D7911yescharacteristic
1087C2×C22⋊C4C22×D7912yes—
1088C2×C22⋊C4C22×D7912yes—
1089C2×C42—791no—
1090C2×C42—792no—
1091C2×C42—791no—
1092C2×C42—791no—
1093C2×C42—791no—
1094C2×C42—798no—
1095C2×C42C22×D7911yescharacteristic
1096C2×C42C22×D7911yescharacteristic
1097C24—44no—
1098C24—44no—
1099C24—44no—
1100C24—3164no—
1101C24—3164no—
1102C24—3164no—
1103C24—3164no—
1104C24—3164no—
1105C24—3164no—
1106C24—3164no—
1107C24—798no—
1108C24—798no—
1109C24—798no—
1110C24—791no—
1111C24—792no—
1112C24—791no—
1113C24—792no—
1114C24—1588no—
1115C24—1588no—
1116C24C23×D7912yes—
1117C24C23×D7912yes—
1118C24C23×D7911yescharacteristic
1119C24C23×D7912yes—
1120C24C23×D7918yes—
1121#41—416no—
1122#41—31632no—
1123#41—31616no—
1124C2×Q8—24no—
1125C2×Q8—794no—
1126C2×Q8—1584no—
1127C2×Q8C23×D7914yes—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—416no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—3164no—
1139C2×D4—3164no—
1140C2×D4—3164no—
1141C2×D4—31632no—
1142C2×D4—31632no—
1143C2×D4—31616no—
1144C2×D4—31616no—
1145C2×D4—31616no—
1146C2×D4—31632no—
1147C2×D4—31632no—
1148C2×D4—3164no—
1149C2×D4—3164no—
1150C2×D4—3164no—
1151C2×D4—3164no—
1152C2×D4—3164no—
1153C2×D4—3164no—
1154C2×D4—3164no—
1155C2×D4—3164no—
1156C2×D4—3164no—
1157C2×D4—3164no—
1158C2×D4—3164no—
1159C2×D4—31632no—
1160C2×D4—798no—
1161C2×D4—798no—
1162C2×D4—798no—
1163C2×D4—798no—
1164C2×D4—798no—
1165C2×D4—798no—
1166C2×D4—798no—
1167C2×D4—798no—
1168C2×D4—798no—
1169C2×D4—798no—
1170C2×D4—798no—
1171C2×D4—798no—
1172C2×D4—794no—
1173C2×D4—798no—
1174C2×D4—794no—
1175C2×D4—798no—
1176C2×D4—798no—
1177C2×D4—798no—
1178C2×D4—798no—
1179C2×D4—794no—
1180C2×D4—794no—
1181C2×D4—794no—
1182C2×D4—1584no—
1183C2×D4—1588no—
1184C2×D4—1584no—
1185C2×D4—1588no—
1186C2×D4—1588no—
1187C2×D4—1584no—
1188C2×D4—1584no—
1189C2×D4—1584no—
1190C2×D4C23×D7914yes—
1191C2×D4C23×D7914yes—
1192C2×D4C23×D7914yes—
1193C2×D4C23×D7918yes—
1194C2×D4C23×D7918yes—
1195C2×D4C23×D7918yes—
1196C2×D4C23×D7918yes—
1197C2×D4C23×D7918yes—
1198C2×D4C23×D7918yes—
1199C22×C4—24no—
1200C22×C4—44no—
1201C22×C4—3164no—
1202C22×C4—3164no—
1203C22×C4—3164no—
1204C22×C4—3164no—
1205C22×C4—3164no—
1206C22×C4—798no—
1207C22×C4—798no—
1208C22×C4—798no—
1209C22×C4—798no—
1210C22×C4—798no—
1211C22×C4—791no—
1212C22×C4—798no—
1213C22×C4—791no—
1214C22×C4—791no—
1215C22×C4—791no—
1216C22×C4—791no—
1217C22×C4—792no—
1218C22×C4—792no—
1219C22×C4—791no—
1220C22×C4—794no—
1221C22×C4—794no—
1222C22×C4—794no—
1223C22×C4—794no—
1224C22×C4—1584no—
1225C22×C4—1584no—
1226C22×C4—1588no—
1227C22×C4—1584no—
1228C22×C4—1584no—
1229C22×C4C23×D7914yes—
1230C22×C4C23×D7911yescharacteristic
1231C22×C4C23×D7911yescharacteristic
1232C22×C4C23×D7912yes—
1233C22×C4C23×D7911yescharacteristic
1234C22×C4C23×D7911yescharacteristic
1235C22×C4C23×D7911yescharacteristic
1236C22×C4C23×D7918yes—
1237C22×C4C23×D7911yescharacteristic
1238C4⋊C4—798no—
1239C4⋊C4—794no—
1240C4⋊C4—798no—
1241C4⋊C4—794no—
1242C4⋊C4—794no—
1243C4⋊C4—794no—
1244C4⋊C4—794no—
1245C4⋊C4—798no—
1246C4⋊C4—794no—
1247C4⋊C4—794no—
1248C4⋊C4—794no—
1249C4⋊C4—794no—
1250C4⋊C4—798no—
1251C4⋊C4—794no—
1252C4⋊C4C23×D7914yes—
1253C4⋊C4C23×D7914yes—
1254C22⋊C4—798no—
1255C22⋊C4—798no—
1256C22⋊C4—798no—
1257C22⋊C4—794no—
1258C22⋊C4—794no—
1259C22⋊C4—798no—
1260C22⋊C4—798no—
1261C22⋊C4—798no—
1262C22⋊C4—794no—
1263C22⋊C4—798no—
1264C22⋊C4—794no—
1265C22⋊C4—798no—
1266C22⋊C4—798no—
1267C22⋊C4—794no—
1268C22⋊C4—794no—
1269C22⋊C4—794no—
1270C22⋊C4—794no—
1271C22⋊C4—798no—
1272C22⋊C4—798no—
1273C22⋊C4—798no—
1274C22⋊C4—798no—
1275C22⋊C4C23×D7918yes—
1276C22⋊C4C23×D7918yes—
1277C22⋊C4C23×D7914yes—
1278C22⋊C4C23×D7914yes—
1279C22⋊C4C23×D7918yes—
1280C22⋊C4C23×D7918yes—
1281C42—794no—
1282C42—794no—
1283C42—794no—
1284C42—798no—
1285C42—794no—
1286C42C23×D7914yes—
1287C42C23×D7914yes—
1288C23—24no—
1289C23—24no—
1290C23—24no—
1291C23—24no—
1292C23—24no—
1293C23—24no—
1294C23—22no—
1295C23—22no—
1296C23—22no—
1297C23—24no—
1298C23—24no—
1299C23—24no—
1300C23—48no—
1301C23—48no—
1302C23—48no—
1303C23—816no—
1304C23—3168no—
1305C23—3168no—
1306C23—3168no—
1307C23—3168no—
1308C23—3168no—
1309C23—3168no—
1310C23—3168no—
1311C23—794no—
1312C23—792no—
1313C23—794no—
1314C23—792no—
1315C23—794no—
1316C23—63216no—
1317C23—63216no—
1318C23—63216no—
1319C23—15816no—
1320C23—15816no—
1321C23—1584no—
1322C23—1584no—
1323C23—1584no—
1324C23—1582no—
1325C23—1584no—
1326C23—1582no—
1327C23—1584no—
1328C23—1582no—
1329C23—1584no—
1330C23—1582no—
1331C23—1582no—
1332C23C24×D7914yes—
1333C23C24×D7914yes—
1334C23C24×D7912yes—
1335C23C24×D7914yes—
1336C23C24×D7911yescharacteristic
1337Q8—28no—
1338Q8—1588no—
1339D4—28no—
1340D4—28no—
1341D4—28no—
1342D4—48no—
1343D4—48no—
1344D4—48no—
1345D4—48no—
1346D4—48no—
1347D4—48no—
1348D4—3168no—
1349D4—3168no—
1350D4—3168no—
1351D4—3168no—
1352D4—3168no—
1353D4—3168no—
1354D4—3168no—
1355D4—3168no—
1356D4—3168no—
1357D4—3168no—
1358D4—3168no—
1359D4—3168no—
1360D4—3168no—
1361D4—3168no—
1362D4—1588no—
1363D4—15816no—
1364D4—1588no—
1365D4—15816no—
1366D4—15816no—
1367D4—1588no—
1368D4—1588no—
1369D4—1588no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—24no—
1376C2×C4—28no—
1377C2×C4—48no—
1378C2×C4—3168no—
1379C2×C4—3168no—
1380C2×C4—3168no—
1381C2×C4—3168no—
1382C2×C4—3168no—
1383C2×C4—794no—
1384C2×C4—792no—
1385C2×C4—792no—
1386C2×C4—792no—
1387C2×C4—792no—
1388C2×C4—794no—
1389C2×C4—792no—
1390C2×C4—794no—
1391C2×C4—792no—
1392C2×C4—1588no—
1393C2×C4—1588no—
1394C2×C4—15816no—
1395C2×C4—1584no—
1396C2×C4—1584no—
1397C2×C4—1582no—
1398C2×C4—1582no—
1399C2×C4—1582no—
1400C2×C4—1582no—
1401C2×C4—1582no—
1402C2×C4—1588no—
1403C2×C4—1588no—
1404C2×C4#1457920614yes—
1405C2×C4C24×D7912yes—
1406C2×C4C24×D7912yes—
1407C2×C4C24×D7914yes—
1408C2×C4C24×D7912yes—
1409C2×C4C24×D7912yes—
1410C2×C4C24×D7912yes—
1411C2×C4C24×D7912yes—
1412C22—24no—
1413C22—24no—
1414C22—24no—
1415C22—24no—
1416C22—24no—
1417C22—24no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—24no—
1422C22—24no—
1423C22—24no—
1424C22—44no—
1425C22—48no—
1426C22—48no—
1427C22—48no—
1428C22—816no—
1429C22—3164no—
1430C22—3168no—
1431C22—3168no—
1432C22—794no—
1433C22—63216no—
1434C22—63216no—
1435C22—63216no—
1436C22—1584no—
1437C22—1584no—
1438C22—1584no—
1439C22—1584no—
1440C22—1582no—
1441C22—1582no—
1442C22—1584no—
1443C22—1582no—
1444C22—1584no—
1445C22—1582no—
1446C22—1582no—
1447C22—1588no—
1448C22H(5,𝔽2)×D7912yes—
1449C22H(5,𝔽2)×D7912yes—
1450C22C2×#1457920612yes—
1451C22C25×D7911yescharacteristic
1452C4—22no—
1453C4—22no—
1454C4—22no—
1455C4—22no—
1456C4—22no—
1457C4—24no—
1458C4—794no—
1459C4—1584no—
1460C4—1584no—
1461C4—1582no—
1462C4—1582no—
1463C4—1582no—
1464C4—1582no—
1465C4—1582no—
1466C4C2×#1457920614yes—
1467C2—42no—
1468C2—44no—
1469C2—44no—
1470C2—44no—
1471C2—3162no—
1472C2—3164no—
1473C2—3164no—
1474C2—1584no—
1475C2#2377772614yesdirect product factor
1476C2C2×H(5,𝔽2)×D7911yescharacteristic
1477C2C2×H(5,𝔽2)×D7911yescharacteristic
1478C2C22×#1457920611yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#535×C79C2
socleC23×C79C25
hypercenterC2×#535D79
hypocenterC79C2×#3543
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. #23777726C2direct (N × H)
2. C2×#19099302C2semidirect
3. C2×#19099301C2semidirect
4. C2×#19099295C2semidirect
5. C2×#19099233C2semidirect
6. C2×#19099232C2semidirect
7. C2×#19099206C2semidirect
8. C2×#19099202C2semidirect
9. C2×#19099201C2semidirect
10. C2×#19099198C2semidirect
11. C2×D4×C22⋊D79C2semidirect
12. C2×D4×C22⋊D79C2semidirect
13. C2×#19099195C2semidirect
14. C2×#19099168C2semidirect
15. C2×#19099167C2semidirect
16. C2×#19099163C2semidirect
17. C2×#19099131C2semidirect
18. C2×#19099128C2semidirect
19. C2×#19099123C2semidirect
20. C2×#19099121C2semidirect
21. C2×#127×D79C2semidirect
22. C2×#19099092C2semidirect
23. C2×#19099091C2semidirect
24. C2×#535×C79C2semidirect
25. C22×#11929625C22semidirect
26. C22×#11929623C22semidirect
27. C23×C22⋊D79C22semidirect
28. C23×C22⋊D79C22semidirect
29. C22×D4×D79C22semidirect
30. C22×D4×D79C22semidirect
31. C22×D4×D79C22semidirect
32. C22×D4×D79C22semidirect
33. C22×D4×D79C22semidirect
34. C22×D4×D79C22semidirect
35. #19099302C22semidirect
36. #19099301C22semidirect
37. #19099295C22semidirect
38. #19099233C22semidirect
39. #19099232C22semidirect
40. #19099206C22semidirect
41. #19099202C22semidirect
42. #19099201C22semidirect
43. #19099198C22semidirect
44. D4×C22⋊D79C22semidirect
45. D4×C22⋊D79C22semidirect
46. #19099195C22semidirect
47. #19099168C22semidirect
48. #19099167C22semidirect
49. #19099163C22semidirect
50. #19099131C22semidirect
51. #19099128C22semidirect
52. #19099123C22semidirect
53. #19099121C22semidirect
54. C2×#14579158C22semidirect
56. C2×#14579157C22semidirect
57. C2×#14579157C22semidirect
58. C2×#14579157C22semidirect
59. C2×#14579157C22semidirect
60. C2×#14579157C22semidirect
61. #127×D79C22semidirect
62. #19099092C22semidirect
63. #19099091C22semidirect
64. C2×#14579156C22semidirect
65. C2×#14579154C22semidirect
66. C2×#14579154C22semidirect
67. C2×#14579153C22semidirect
68. C2×#14579151C22semidirect
69. C2×#14579150C22semidirect
70. C2×#14579147C22semidirect
71. C2×#14579147C22semidirect
72. C2×#14579146C22semidirect
73. C2×#14579146C22semidirect
74. C2×#14579146C22semidirect
75. C2×#14579145C22semidirect
76. C2×#14579144C22semidirect
77. C2×#14579143C22semidirect
78. C2×#14579143C22semidirect
79. C2×#14579143C22semidirect
80. C2×#14579143C22semidirect
81. C2×#14579142C22semidirect
82. C2×#14579142C22semidirect
83. C2×#14579139C22semidirect
84. C2×#14579137C22semidirect
85. C2×#14579135C22semidirect
86. C2×#14579135C22semidirect
87. C2×#14579135C22semidirect
89. C2×#14579134C22semidirect
90. C2×#14579134C22semidirect
91. C2×#14579134C22semidirect
92. C2×#14579134C22semidirect
93. C2×#14579134C22semidirect
94. C2×#14579133C22semidirect
95. C2×#14579133C22semidirect
96. C2×#14579133C22semidirect
97. C2×#14579133C22semidirect
98. C2×#14579133C22semidirect
99. C2×#14579133C22semidirect
100. C2×#14579133C22semidirect
102. C2×#14579132C22semidirect
103. C2×#14579132C22semidirect
104. C2×#14579132C22semidirect
105. C2×#14579132C22semidirect
106. C2×#14579132C22semidirect
107. C2×#14579131C22semidirect
108. C2×#14579131C22semidirect
109. C2×#14579131C22semidirect
110. C2×#14579130C22semidirect
111. C2×#14579130C22semidirect
112. C2×#14579129C22semidirect
113. C2×#14579129C22semidirect
114. C2×#14579129C22semidirect
115. C2×#14579129C22semidirect
116. C2×#14579129C22semidirect
117. C2×Q8×Dic79C22semidirect
118. C2×C4×Dic158C22semidirect
119. C2×C4×D316C22semidirect
120. C2×C4×D316C22semidirect
121. C2×C4×D316C22semidirect
122. C2×D4×Dic79C22semidirect
123. C2×D4×Dic79C22semidirect
124. C2×D4×Dic79C22semidirect
125. C2×C4×C22⋊D79C22semidirect
126. C2×C4×C22⋊D79C22semidirect
127. C2×C4×C22⋊D79C22semidirect
128. C2×(C22⋊D79)⋊C4C22semidirect
129. C2×(C22⋊D79)⋊C4C22semidirect
130. C2×#14579118C22semidirect
131. C2×#14579117C22semidirect
132. C22×(C2×D79)⋊C4C22semidirect
133. C2×C22⋊C4×D79C22semidirect
134. C2×C42×D79C22semidirect
135. C22×#41×C79C22semidirect
136. C23×D4×C79C22semidirect
137. #535×C79C22semidirect
138. C2×#127×C79C22semidirect
139. C2×#127×C79C22semidirect
140. C2×#124×C79C22semidirect
141. C2×#124×C79C22semidirect
142. C2×#121×C79C22semidirect
143. C2×#121×C79C22semidirect
144. C2×#120×C79C22semidirect
145. C2×#120×C79C22semidirect
146. C2×#117×C79C22semidirect
151. C2×#11929625C23semidirect
153. C2×#11929623C23semidirect
179. C22×C22⋊D79C23semidirect
180. C22×C22⋊D79C23semidirect
187. C2×D4×D79C23semidirect
188. C2×D4×D79C23semidirect
189. C2×D4×D79C23semidirect
190. C2×D4×D79C23semidirect
191. C2×D4×D79C23semidirect
192. C2×D4×D79C23semidirect
203. #14579158C23semidirect
205. #14579157C23semidirect
206. #14579157C23semidirect
207. #14579157C23semidirect
208. #14579157C23semidirect
209. #14579157C23semidirect
210. #14579156C23semidirect
211. #14579154C23semidirect
212. #14579154C23semidirect
213. #14579153C23semidirect
214. #14579151C23semidirect
215. #14579150C23semidirect
216. #14579147C23semidirect
217. #14579147C23semidirect
218. #14579146C23semidirect
219. #14579146C23semidirect
220. #14579146C23semidirect
221. #14579145C23semidirect
222. #14579144C23semidirect
223. #14579143C23semidirect
224. #14579143C23semidirect
225. #14579143C23semidirect
226. #14579143C23semidirect
227. #14579142C23semidirect
228. #14579142C23semidirect
229. #14579139C23semidirect
230. #14579137C23semidirect
231. #14579135C23semidirect
232. #14579135C23semidirect
233. #14579135C23semidirect
235. #14579134C23semidirect
236. #14579134C23semidirect
237. #14579134C23semidirect
238. #14579134C23semidirect
239. #14579134C23semidirect
240. #14579133C23semidirect
241. #14579133C23semidirect
242. #14579133C23semidirect
243. #14579133C23semidirect
244. #14579133C23semidirect
245. #14579133C23semidirect
246. #14579133C23semidirect
248. #14579132C23semidirect
249. #14579132C23semidirect
250. #14579132C23semidirect
251. #14579132C23semidirect
252. #14579132C23semidirect
253. #14579131C23semidirect
254. #14579131C23semidirect
255. #14579131C23semidirect
256. #14579130C23semidirect
257. #14579130C23semidirect
258. #14579129C23semidirect
259. #14579129C23semidirect
260. #14579129C23semidirect
261. #14579129C23semidirect
262. #14579129C23semidirect
263. Q8×Dic79C23semidirect
264. C4×Dic158C23semidirect
265. C4×D316C23semidirect
266. C4×D316C23semidirect
267. C4×D316C23semidirect
268. D4×Dic79C23semidirect
269. D4×Dic79C23semidirect
270. D4×Dic79C23semidirect
271. C4×C22⋊D79C23semidirect
272. C4×C22⋊D79C23semidirect
273. C4×C22⋊D79C23semidirect
274. (C22⋊D79)⋊C4C23semidirect
275. (C22⋊D79)⋊C4C23semidirect
276. #14579118C23semidirect
277. #14579117C23semidirect
313. C2×(C2×D79)⋊C4C23semidirect
314. C22⋊C4×D79C23semidirect
320. C42×D79C23semidirect
323. C2×#41×C79C23semidirect
335. C22×D4×C79C23semidirect
338. #127×C79C23semidirect
339. #127×C79C23semidirect
340. #124×C79C23semidirect
341. #124×C79C23semidirect
342. #121×C79C23semidirect
343. #121×C79C23semidirect
344. #120×C79C23semidirect
345. #120×C79C23semidirect
346. #117×C79C23semidirect
732. C2×C79#3543semidirect
758. C2×#535D79semidirect
764. C79C2×#3543semidirect
767. C22×#41C2×D79semidirect
776. C23×D4C2×D79semidirect
794. #535C2×D79semidirect
805. C2×#127C2×D79semidirect
806. C2×#127C2×D79semidirect
817. C2×#124C2×D79semidirect
818. C2×#124C2×D79semidirect
854. C2×#121C2×D79semidirect
855. C2×#121C2×D79semidirect
866. C2×#120C2×D79semidirect
867. C2×#120C2×D79semidirect
883. C2×#117C2×D79semidirect
896. C2×#41C22×D79semidirect
947. C22×D4C22×D79semidirect
967. #127C22×D79semidirect
968. #127C22×D79semidirect
977. #124C22×D79semidirect
978. #124C22×D79semidirect
1014. #121C22×D79semidirect
1015. #121C22×D79semidirect
1026. #120C22×D79semidirect
1027. #120C22×D79semidirect
1043. #117C22×D79semidirect
1475. C2#23777726direct (N × H)

Maximal subgroups

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

subgroupindex
#237777262
C2×#190993022
C2×#190993012
C2×#190992952
C2×#190992332
C2×#190992322
C2×#190992062
C2×#190992022
C2×#190992012
C2×#190991982
C2×D4×C22⋊D792
C2×#190991952
C2×#190991682
C2×#190991672
C2×#190991632
C2×#190991312
C2×#190991282
C2×#190991232
C2×#190991212
C2×#127×D792
C2×#190990922
C2×#190990912
C2×#535×C792
C2×#354379