Finite Group Databasebeta

← #33254575

Subgroups — #33254575

Order 18688.

2736 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989117C211yesmaximal, characteristic, complemented
2C2×C4×#11924027C211yesmaximal, characteristic, complemented
3#22614165C211yesmaximal, characteristic, complemented
4#22614157C211yesmaximal, characteristic, complemented
5#22614043C211yesmaximal, characteristic, complemented
6#22614035C211yesmaximal, characteristic, complemented
7#22613985C211yesmaximal, characteristic, complemented
8#22613977C211yesmaximal, characteristic, complemented
9#22613824C211yesmaximal, characteristic, complemented
10#22613816C211yesmaximal, characteristic, complemented
11#22613798C211yesmaximal, characteristic, complemented
12#22613724C211yesmaximal, characteristic, complemented
13#22613637C211yesmaximal, characteristic, complemented
14#22613545C211yesmaximal, characteristic, complemented
15#22613512C211yesmaximal, characteristic, complemented
16#22613449C211yesmaximal, characteristic, complemented
17#22613342C211yesmaximal, characteristic, complemented
18#22613269C211yesmaximal, characteristic, complemented
19#22613210C211yesmaximal, characteristic, complemented
20#22613173C211yesmaximal, characteristic, complemented
21#22613169C211yesmaximal, characteristic, complemented
22C4×#14556587C211yesmaximal, characteristic, complemented
23C4×#14556563C211yesmaximal, characteristic, complemented
24C4×#14556563C211yesmaximal, characteristic, complemented
25C4×#14556563C211yesmaximal, characteristic, complemented
26C4×#14556562C211yesmaximal, characteristic, complemented
27#22612403C211yesmaximal, characteristic, complemented
28#22612376C211yesmaximal, characteristic, complemented
29#22612375C211yesmaximal, characteristic, complemented
30C4×D4×Dic73C211yesmaximal, characteristic, complemented
31C73×#2397C211yesmaximal, characteristic, complemented
32C22×#11924027C2211yescharacteristic
33C2×#14556587C2211yescharacteristic
34#17989117—28no—
35C2×#14556586C2211yescharacteristic
36C2×#14556584C2211yescharacteristic
37C2×#14556581C2211yescharacteristic
38C2×#14556577C2211yescharacteristic
39C2×#14556575C2211yescharacteristic
40C2×#14556572C2211yescharacteristic
41C2×#14556568C2211yescharacteristic
42C2×#14556563C2211yescharacteristic
43C2×#14556563C2211yescharacteristic
44C2×#14556563C2211yescharacteristic
45C2×#14556563C2211yescharacteristic
46C2×#14556562C2211yescharacteristic
47C4×#11924027—28no—
48C2×C4×Dic146C2211yescharacteristic
49C2×#14556556C2211yescharacteristic
50C2×C4×D292C2211yescharacteristic
51C2×D4×Dic73C2211yescharacteristic
52C2×D4×Dic73C2211yescharacteristic
53C2×D4×Dic73C2211yescharacteristic
54C2×C4×C22⋊D73C2211yescharacteristic
55C2×C4×C22⋊D73C2211yescharacteristic
56C2×C4×C22⋊D73C2211yescharacteristic
57C2×C4×C22⋊D73C2211yescharacteristic
58C2×C4×C22⋊D73C2211yescharacteristic
59C2×C4×C22⋊D73C2211yescharacteristic
60C2×C4×C22⋊D73C2211yescharacteristic
61C2×C4×C22⋊D73C2211yescharacteristic
62C2×#14556551C2211yescharacteristic
63C2×#14556551C2211yescharacteristic
64C2×#14556550C2211yescharacteristic
65C2×#14556549C2211yescharacteristic
66C2×#14556548C2211yescharacteristic
67C2×#14556547C2211yescharacteristic
68C2×#14556547C2211yescharacteristic
69C22×C4×Dic73C2211yescharacteristic
70C22×C4×Dic73C2211yescharacteristic
71C22×C4×Dic73C2211yescharacteristic
72C2×C42×D73C2211yescharacteristic
73#17988523C2211yescharacteristic
74#17988523C2211yescharacteristic
75#17988522C2211yescharacteristic
76#17988522C2211yescharacteristic
77#17988520C2211yescharacteristic
78#17988518C2211yescharacteristic
79#17988515C2211yescharacteristic
80#17988513C2211yescharacteristic
81#17988510C2211yescharacteristic
82#17988510C2211yescharacteristic
83#17988510C2211yescharacteristic
84#17988509C2211yescharacteristic
85#17988503C2211yescharacteristic
86#17988503C2211yescharacteristic
87#17988503C2211yescharacteristic
88#17988502C2211yescharacteristic
89#17988501C2211yescharacteristic
90#17988501C2211yescharacteristic
91#17988496C2211yescharacteristic
92#17988496C2211yescharacteristic
93#17988495C2211yescharacteristic
94#17988495C2211yescharacteristic
95#17988495C2211yescharacteristic
96#17988495C2211yescharacteristic
97#17988491C2211yescharacteristic
98#17988491C2211yescharacteristic
99#17988490C2211yescharacteristic
100#17988490C2211yescharacteristic
101#17988488C2211yescharacteristic
102#17988487C2211yescharacteristic
103#17988487C2211yescharacteristic
104#17988487C2211yescharacteristic
105#17988487C2211yescharacteristic
106#17988487C2211yescharacteristic
107#17988487C2211yescharacteristic
108#17988487C2211yescharacteristic
109#17988484C2211yescharacteristic
110#17988484C2211yescharacteristic
111#17988483C2211yescharacteristic
112#17988482C2211yescharacteristic
113#17988482C2211yescharacteristic
114#17988482C2211yescharacteristic
115#17988481C2211yescharacteristic
116#17988481C2211yescharacteristic
117#17988481C2211yescharacteristic
118#17988480C2211yescharacteristic
119#17988480C2211yescharacteristic
120#17988479C2211yescharacteristic
121#17988479C2211yescharacteristic
122#17988477C2211yescharacteristic
123#17988477C2211yescharacteristic
124#17988477C2211yescharacteristic
125#17988475C2211yescharacteristic
126#17988475C2211yescharacteristic
127#17988474C2211yescharacteristic
128#17988474C2211yescharacteristic
129#17988473C2211yescharacteristic
130#17988473C2211yescharacteristic
131#17988472C2211yescharacteristic
132#17988472C2211yescharacteristic
133#17988470C2211yescharacteristic
134#17988470C2211yescharacteristic
135#17988467C2211yescharacteristic
136#17988467C2211yescharacteristic
137#17988467C2211yescharacteristic
138#17988467C2211yescharacteristic
139#17988467C2211yescharacteristic
140#17988465C2211yescharacteristic
141#17988465C2211yescharacteristic
142#17988464C2211yescharacteristic
143#17988464C2211yescharacteristic
144#17988464C2211yescharacteristic
145#17988463C2211yescharacteristic
146#17988463C2211yescharacteristic
147#17988462C2211yescharacteristic
148#17988462C2211yescharacteristic
149#17988461C2211yescharacteristic
150#17988461C2211yescharacteristic
151#17988456C2211yescharacteristic
152#17988445C2211yescharacteristic
153#17988445C2211yescharacteristic
154#17988445C2211yescharacteristic
155#17988444C2211yescharacteristic
156C4⋊C4×Dic73C2211yescharacteristic
157C4⋊C4×Dic73C2211yescharacteristic
158C4×#11924007C2211yescharacteristic
159C4×#11924007C2211yescharacteristic
160C4×C4⋊Dic73C2211yescharacteristic
161C4×C4⋊Dic73C2211yescharacteristic
162C22⋊C4×Dic73C2211yescharacteristic
163C22⋊C4×Dic73C2211yescharacteristic
164C22⋊C4×Dic73C2211yescharacteristic
165C22⋊C4×Dic73C2211yescharacteristic
166C4×#11924005C2211yescharacteristic
167C4×#11924005C2211yescharacteristic
168C4×C22⋊Dic73C2211yescharacteristic
169C4×C22⋊Dic73C2211yescharacteristic
170C4×C22⋊Dic73C2211yescharacteristic
171C4×C22⋊Dic73C2211yescharacteristic
172#17988433C2211yescharacteristic
173C42×Dic73C2211yescharacteristic
174C2×C4×D4×C73C2211yescharacteristic
175C2×C4×D4×C73C2211yescharacteristic
176C2×C4×D4×C73C2211yescharacteristic
177C2×C4×D4×C73C2211yescharacteristic
178C2×C4×D4×C73C2211yescharacteristic
179C2×C4×D4×C73C2211yescharacteristic
180#399×C73C2211yescharacteristic
181#399×C73C2211yescharacteristic
182#399×C73C2211yescharacteristic
183#399×C73C2211yescharacteristic
184#392×C73C2211yescharacteristic
185#392×C73C2211yescharacteristic
186#392×C73C2211yescharacteristic
187#392×C73C2211yescharacteristic
188#376×C73C2211yescharacteristic
189C2×#11924027—24no—
190C2×#11924027—24no—
191C2×#11924027—24no—
192C22×Dic146C2311yescharacteristic
193C22×D292C2311yescharacteristic
194C22×C22⋊D73C2311yescharacteristic
195C22×C22⋊D73C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C22×C22⋊D73C2311yescharacteristic
199C22×C22⋊D73C2311yescharacteristic
200C22×C22⋊D73C2311yescharacteristic
201C22×C22⋊D73C2311yescharacteristic
202C23×Dic73C2311yescharacteristic
203C23×Dic73C2311yescharacteristic
204C23×Dic73C2311yescharacteristic
205C23×Dic73C2311yescharacteristic
206C23×Dic73C2311yescharacteristic
207C23×Dic73C2311yescharacteristic
208C22×C4×D73C2311yescharacteristic
209C22×C4×D73C2311yescharacteristic
210C22×C4×D73C2311yescharacteristic
211C22×C4×D73C2311yescharacteristic
212#14556587—24no—
213#14556586—24no—
214#14556584—24no—
215#14556581—24no—
216#14556577—24no—
217#14556575—24no—
218#14556572—24no—
219#14556568—24no—
220#14556563—24no—
221#14556563—24no—
222#14556563—24no—
223#14556563—24no—
224#14556562—24no—
225C4×Dic146D418yescomplemented
226#14556556—24no—
227C4×D292—24no—
228D4×Dic73—24no—
229D4×Dic73—24no—
230D4×Dic73—24no—
231C4×C22⋊D73—24no—
232C4×C22⋊D73—24no—
233C4×C22⋊D73—24no—
234C4×C22⋊D73—24no—
235C4×C22⋊D73—42no—
236C4×C22⋊D73—42no—
237C4×C22⋊D73—42no—
238C4×C22⋊D73—42no—
239#14556551—24no—
240#14556551—24no—
241#14556550—24no—
242#14556549—24no—
243#14556548—24no—
244#14556547—24no—
245#14556547—24no—
246C2×C4⋊Dic73C2311yescharacteristic
247C2×C4⋊Dic73C2311yescharacteristic
248C2×C4⋊Dic73C2311yescharacteristic
249C2×C4⋊Dic73C2311yescharacteristic
250C2×C4⋊Dic73C2311yescharacteristic
251C2×C4⋊Dic73C2311yescharacteristic
252C2×C4⋊Dic73C2311yescharacteristic
253C2×C4⋊Dic73C2311yescharacteristic
254C2×#11924007C2311yescharacteristic
255C2×#11924007C2311yescharacteristic
256C2×#11924007C2311yescharacteristic
257C2×#11924007C2311yescharacteristic
258C2×#11924007C2311yescharacteristic
259C2×#11924007C2311yescharacteristic
260C2×#11924007C2311yescharacteristic
261C2×#11924007C2311yescharacteristic
262C2×#11924007C2311yescharacteristic
263C2×#11924007C2311yescharacteristic
264C2×#11924007C2311yescharacteristic
265C2×#11924007C2311yescharacteristic
266C2×#11924007C2311yescharacteristic
267C2×#11924007C2311yescharacteristic
268C2×#11924007C2311yescharacteristic
269C2×#11924007C2311yescharacteristic
270C2×C22⋊Dic73C2311yescharacteristic
271C2×C22⋊Dic73C2311yescharacteristic
272C2×C22⋊Dic73C2311yescharacteristic
273C2×C22⋊Dic73C2311yescharacteristic
274C2×C22⋊Dic73C2311yescharacteristic
275C2×C22⋊Dic73C2311yescharacteristic
276C2×C22⋊Dic73C2311yescharacteristic
277C2×C22⋊Dic73C2311yescharacteristic
278C2×C22⋊Dic73C2311yescharacteristic
279C2×C22⋊Dic73C2311yescharacteristic
280C2×C22⋊Dic73C2311yescharacteristic
281C2×C22⋊Dic73C2311yescharacteristic
282C2×C22⋊Dic73C2311yescharacteristic
283C2×C22⋊Dic73C2311yescharacteristic
284C2×C22⋊Dic73C2311yescharacteristic
285C2×C22⋊Dic73C2311yescharacteristic
286C2×C22⋊Dic73C2311yescharacteristic
287C2×C22⋊Dic73C2311yescharacteristic
288C2×#11924005C2311yescharacteristic
289C2×#11924005C2311yescharacteristic
290C2×#11924005C2311yescharacteristic
291C2×#11924005C2311yescharacteristic
292C2×#11924005C2311yescharacteristic
293C2×#11924005C2311yescharacteristic
294C2×#11924005C2311yescharacteristic
295C2×#11924005C2311yescharacteristic
296C2×#11924005C2311yescharacteristic
297C2×#11924005C2311yescharacteristic
298C2×#11924005C2311yescharacteristic
299C2×#11924005C2311yescharacteristic
300C2×#11924005C2311yescharacteristic
301C2×#11924005C2311yescharacteristic
302C2×#11924005C2311yescharacteristic
303C2×#11924005C2311yescharacteristic
304C2×C4×Dic73—24no—
305C2×C4×Dic73—24no—
306C2×C4×Dic73—24no—
307C2×C4×Dic73C2311yescharacteristic
308C2×C4×Dic73C2311yescharacteristic
309C2×C4×Dic73C2311yescharacteristic
310C2×C4×Dic73C2311yescharacteristic
311C2×C4×Dic73C2311yescharacteristic
312C2×C4×Dic73C2311yescharacteristic
313C2×C4×Dic73C2311yescharacteristic
314C2×C4×Dic73C2311yescharacteristic
315C2×C4×Dic73C2311yescharacteristic
316C2×C4×Dic73C2311yescharacteristic
317C2×C4×Dic73C2311yescharacteristic
318C2×C4×Dic73C2311yescharacteristic
319C2×C4×Dic73C2311yescharacteristic
320C2×C4×Dic73C2311yescharacteristic
321C2×C4×Dic73C2311yescharacteristic
322C2×C4×Dic73C2311yescharacteristic
323C2×C4×Dic73C2311yescharacteristic
324C2×C4×Dic73C2311yescharacteristic
325C42×D73—24no—
326#14556498C2311yescharacteristic
327#14556498C2311yescharacteristic
328#14556498C2311yescharacteristic
329#14556498C2311yescharacteristic
330#14556498C2311yescharacteristic
331#14556498C2311yescharacteristic
332#14556498C2311yescharacteristic
333#14556498C2311yescharacteristic
334#14556498C2311yescharacteristic
335#14556498C2311yescharacteristic
336#14556498C2311yescharacteristic
337#14556498C2311yescharacteristic
338#14556498C2311yescharacteristic
339#14556498C2311yescharacteristic
340#14556498C2311yescharacteristic
341#14556498C2311yescharacteristic
342#14556498C2311yescharacteristic
343#14556498C2311yescharacteristic
344#14556498C2311yescharacteristic
345#14556498C2311yescharacteristic
346#14556498C2311yescharacteristic
347#14556498C2311yescharacteristic
348#14556498C2311yescharacteristic
349#14556498C2311yescharacteristic
350C22×D4×C73C2311yescharacteristic
351C22×D4×C73C2311yescharacteristic
352C22×D4×C73C2311yescharacteristic
353C22×D4×C73C2311yescharacteristic
354C22×D4×C73C2311yescharacteristic
355C22×D4×C73C2311yescharacteristic
356C23×C4×C73C2311yescharacteristic
357C23×C4×C73C2311yescharacteristic
358C23×C4×C73C2311yescharacteristic
359C23×C4×C73C2311yescharacteristic
360C4×D4×C73—24no—
361C4×D4×C73—24no—
362C4×D4×C73—24no—
363C4×D4×C73—24no—
364C4×D4×C73—42no—
365C4×D4×C73—42no—
366C2×C4⋊C4×C73C2311yescharacteristic
367C2×C4⋊C4×C73C2311yescharacteristic
368C2×C4⋊C4×C73C2311yescharacteristic
369C2×C4⋊C4×C73C2311yescharacteristic
370C2×C4⋊C4×C73C2311yescharacteristic
371C2×C4⋊C4×C73C2311yescharacteristic
372C2×C22⋊C4×C73C2311yescharacteristic
373C2×C22⋊C4×C73C2311yescharacteristic
374C2×C22⋊C4×C73C2311yescharacteristic
375C2×C22⋊C4×C73C2311yescharacteristic
376C2×C22⋊C4×C73C2311yescharacteristic
377C2×C22⋊C4×C73C2311yescharacteristic
378C2×C22⋊C4×C73C2311yescharacteristic
379C2×C22⋊C4×C73C2311yescharacteristic
380C2×C22⋊C4×C73C2311yescharacteristic
381C2×C22⋊C4×C73C2311yescharacteristic
382C2×C22⋊C4×C73C2311yescharacteristic
383C2×C22⋊C4×C73C2311yescharacteristic
384C2×C42×C73C2311yescharacteristic
385C2×C42×C73C2311yescharacteristic
386C2×C42×C73C2311yescharacteristic
387#95×C73C2311yescharacteristic
388#95×C73C2311yescharacteristic
389#95×C73C2311yescharacteristic
390#95×C73C2311yescharacteristic
391C23×D73C2411yescharacteristic
392C23×D73C2411yescharacteristic
393#11924027—232no—
394C2×Dic146—22no—
395C2×Dic146—22no—
396C2×Dic146C2×D414yes—
397C2×D292—22no—
398C2×D292—22no—
399C2×D292—41no—
400C2×C22⋊D73—22no—
401C2×C22⋊D73—22no—
402C2×C22⋊D73—22no—
403C2×C22⋊D73—22no—
404C2×C22⋊D73—22no—
405C2×C22⋊D73—22no—
406C2×C22⋊D73—22no—
407C2×C22⋊D73—22no—
408C2×C22⋊D73—22no—
409C2×C22⋊D73—22no—
410C2×C22⋊D73—22no—
411C2×C22⋊D73—22no—
412C2×C22⋊D73—22no—
413C2×C22⋊D73—22no—
414C2×C22⋊D73—22no—
415C2×C22⋊D73—22no—
416C2×C22⋊D73—22no—
417C2×C22⋊D73—41no—
418C2×C22⋊D73—41no—
419C2×C22⋊D73—41no—
420C2×C22⋊D73—41no—
421C2×C22⋊D73—41no—
422C2×C22⋊D73—41no—
423C2×C22⋊D73#4114yes—
424C22×Dic73—22no—
425C22×Dic73—22no—
426C22×Dic73—22no—
427C22×Dic73—22no—
428C22×Dic73—22no—
429C22×Dic73—22no—
430C22×Dic73—22no—
431C22×Dic73—22no—
432C22×Dic73—22no—
433C22×Dic73—22no—
434C22×Dic73—22no—
435C22×Dic73—22no—
436C22×Dic73—22no—
437C22×Dic73—22no—
438C22×Dic73—41no—
439C22×Dic73—41no—
440C22×Dic73—41no—
441C22×Dic73#4114yes—
442C22×Dic73C2411yescharacteristic
443C22×Dic73C2411yescharacteristic
444C22×Dic73C2411yescharacteristic
445C22×Dic73C2411yescharacteristic
446C22×Dic73C2411yescharacteristic
447C22×Dic73C2411yescharacteristic
448C22×Dic73C2411yescharacteristic
449C22×Dic73C2411yescharacteristic
450C22×Dic73C2411yescharacteristic
451C22×Dic73C2411yescharacteristic
452C22×Dic73C2411yescharacteristic
453C22×Dic73C2411yescharacteristic
454C22×Dic73C2411yescharacteristic
455C22×Dic73C2411yescharacteristic
456C2×C4×D73—22no—
457C2×C4×D73—22no—
458C2×C4×D73—22no—
459C2×C4×D73—22no—
460C2×C4×D73—22no—
461C2×C4×D73—22no—
462C2×C4×D73—22no—
463C2×C4×D73—22no—
464C2×C4×D73—22no—
465C2×C4×D73—22no—
466C2×C4×D73—22no—
467C2×C4×D73—41no—
468C4⋊Dic73—22no—
469C4⋊Dic73—22no—
470C4⋊Dic73—22no—
471C4⋊Dic73—22no—
472C4⋊Dic73—22no—
473C4⋊Dic73—22no—
474C4⋊Dic73—41no—
475C4⋊Dic73C2×D414yes—
476#11924007—22no—
477#11924007—22no—
478#11924007—22no—
479#11924007—22no—
480#11924007—22no—
481#11924007—22no—
482#11924007—22no—
483#11924007—22no—
484#11924007—22no—
485#11924007—41no—
486#11924007—41no—
487#11924007—41no—
488#11924007—41no—
489#11924007—41no—
490#11924007C2×D414yes—
491#11924007C2×D414yes—
492C22⋊Dic73—22no—
493C22⋊Dic73—22no—
494C22⋊Dic73—22no—
495C22⋊Dic73—22no—
496C22⋊Dic73—22no—
497C22⋊Dic73—22no—
498C22⋊Dic73—22no—
499C22⋊Dic73—22no—
500C22⋊Dic73—22no—
501C22⋊Dic73—22no—
502C22⋊Dic73—22no—
503C22⋊Dic73—22no—
504C22⋊Dic73—41no—
505C22⋊Dic73—41no—
506C22⋊Dic73—41no—
507C22⋊Dic73—41no—
508C22⋊Dic73—41no—
509C22⋊Dic73#4114yescomplemented
510#11924005—22no—
511#11924005—22no—
512#11924005—22no—
513#11924005—22no—
514#11924005—22no—
515#11924005—22no—
516#11924005—22no—
517#11924005—22no—
518#11924005—22no—
519#11924005—22no—
520#11924005—22no—
521#11924005—41no—
522#11924005—41no—
523#11924005—41no—
524#11924005—41no—
525#11924005—41no—
526C4×Dic73—22no—
527C4×Dic73—22no—
528C4×Dic73—22no—
529C4×Dic73—22no—
530C4×Dic73—22no—
531C4×Dic73—22no—
532C4×Dic73—22no—
533C4×Dic73—22no—
534C4×Dic73—22no—
535C4×Dic73—22no—
536C4×Dic73—22no—
537C4×Dic73—22no—
538C4×Dic73—22no—
539C4×Dic73—22no—
540C4×Dic73—22no—
541C4×Dic73—41no—
542C4×Dic73C2×D414yes—
543C4×Dic73C2×D414yes—
544C24×C73C2411yescharacteristic
545C24×C73C2411yescharacteristic
546C24×C73C2411yescharacteristic
547C24×C73C2411yescharacteristic
548C2×D4×C73—22no—
549C2×D4×C73—22no—
550C2×D4×C73—22no—
551C2×D4×C73—22no—
552C2×D4×C73—22no—
553C2×D4×C73—22no—
554C2×D4×C73—22no—
555C2×D4×C73—22no—
556C2×D4×C73—22no—
557C2×D4×C73—22no—
558C2×D4×C73—22no—
559C2×D4×C73—22no—
560C2×D4×C73—22no—
561C2×D4×C73—41no—
562C2×D4×C73—41no—
563C2×D4×C73—41no—
564C2×D4×C73—41no—
565C2×D4×C73—41no—
566C22×C4×C73—22no—
567C22×C4×C73—22no—
568C22×C4×C73—22no—
569C22×C4×C73—22no—
570C22×C4×C73—22no—
571C22×C4×C73—22no—
572C22×C4×C73—22no—
573C22×C4×C73—22no—
574C22×C4×C73—22no—
575C22×C4×C73—22no—
576C22×C4×C73—22no—
577C22×C4×C73—22no—
578C22×C4×C73C2411yescharacteristic
579C22×C4×C73C2411yescharacteristic
580C22×C4×C73C2411yescharacteristic
581C22×C4×C73C2411yescharacteristic
582C22×C4×C73C2411yescharacteristic
583C22×C4×C73C2411yescharacteristic
584C22×C4×C73C2411yescharacteristic
585C22×C4×C73C2411yescharacteristic
586C22×C4×C73C2411yescharacteristic
587C22×C4×C73C2411yescharacteristic
588C22×C4×C73C2411yescharacteristic
589C4⋊C4×C73—22no—
590C4⋊C4×C73—22no—
591C4⋊C4×C73—22no—
592C4⋊C4×C73—22no—
593C4⋊C4×C73—41no—
594C4⋊C4×C73—41no—
595C22⋊C4×C73—22no—
596C22⋊C4×C73—22no—
597C22⋊C4×C73—22no—
598C22⋊C4×C73—22no—
599C22⋊C4×C73—22no—
600C22⋊C4×C73—22no—
601C22⋊C4×C73—22no—
602C22⋊C4×C73—22no—
603C22⋊C4×C73—41no—
604C22⋊C4×C73—41no—
605C22⋊C4×C73—41no—
606C22⋊C4×C73—41no—
607C42×C73—22no—
608C42×C73C2×D414yes—
609C42×C73#4114yescomplemented
610C23×C73—21no—
611C23×C73—21no—
612C23×C73—21no—
613C23×C73—21no—
614C23×C73—21no—
615C23×C73—21no—
616C23×C73—21no—
617C23×C73—21no—
618C23×C73—21no—
619C23×C73—21no—
620C23×C73—21no—
621C23×C73—21no—
622C23×C73—21no—
623C23×C73—21no—
624C23×C73—21no—
625C23×C73—21no—
626C23×C73—21no—
627C23×C73—21no—
628C23×C73—21no—
629C23×C73—21no—
630C23×C73—21no—
631C23×C73—21no—
632C23×C73—21no—
633C23×C73—21no—
634C23×C73—21no—
635C23×C73C2×#4112yes—
636C23×C73C2×#4112yes—
637C23×C73C2×#4112yes—
638C23×C73C2511yescharacteristic
639C22×D73—21no—
640C22×D73—21no—
641C22×D73—21no—
642C22×D73—21no—
643C22×D73—21no—
644C22×D73—21no—
645C22×D73—21no—
646C22×D73—21no—
647C22×D73—21no—
648C22×D73—21no—
649C22×D73—21no—
650C22×D73—21no—
651C22×D73—21no—
652C22×D73C2×#4112yes—
653D4×C73—28no—
654D4×C73—28no—
655D4×C73—44no—
656D4×C73—44no—
657D4×C73—44no—
658D4×C73—44no—
659C2×C4×C73—21no—
660C2×C4×C73—21no—
661C2×C4×C73—21no—
662C2×C4×C73—21no—
663C2×C4×C73—21no—
664C2×C4×C73—21no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—44no—
686C2×C4×C73—44no—
687C2×C4×C73—44no—
688C2×C4×C73—44no—
689C2×C4×C73C22×D412yes—
690C2×C4×C73C22×D412yes—
691C2×C4×C73C22×D412yes—
692C2×C4×C73C2×#4112yes—
693C2×C4×C73C2×#4112yes—
694C2×C4×C73C2×#4112yes—
695C2×C4×C73H(5,𝔽2)12yes—
696C22⋊D73—28no—
697C22⋊D73—28no—
698C22⋊D73—44no—
699C22⋊D73—44no—
700C22⋊D73—44no—
701C22⋊D73—44no—
702C22⋊D73—44no—
703C22⋊D73—44no—
704C2×Dic73—28no—
705C2×Dic73—21no—
706C2×Dic73—21no—
707C2×Dic73—21no—
708C2×Dic73—21no—
709C2×Dic73—21no—
710C2×Dic73—21no—
711C2×Dic73—21no—
712C2×Dic73—21no—
713C2×Dic73—21no—
714C2×Dic73—21no—
715C2×Dic73—21no—
716C2×Dic73—21no—
717C2×Dic73—28no—
718C2×Dic73—21no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—44no—
740C2×Dic73—44no—
741C2×Dic73—44no—
742C2×Dic73—44no—
743C2×Dic73C22×D412yes—
744C2×Dic73C22×D412yes—
745C2×Dic73C22×D412yes—
746C2×Dic73C22×D412yes—
747C2×Dic73C2×#4112yes—
748C2×Dic73C2×#4112yes—
749C2×Dic73C2×#4112yes—
750C2×Dic73C2×#4112yes—
751C2×Dic73C2×#4112yes—
752D292—44no—
753C4×D73—28no—
754C4×D73—44no—
755C4×D73—44no—
756C4×D73—44no—
757Dic146—28no—
758C22×C73—22no—
759C22×C73—22no—
760C22×C73—22no—
761C22×C73—22no—
762C22×C73—22no—
763C22×C73—22no—
764C22×C73—22no—
765C22×C73—22no—
766C22×C73—22no—
767C22×C73—41no—
768C22×C73—41no—
769C22×C73—41no—
770C22×C73—41no—
771C22×C73—41no—
772C22×C73—41no—
773C22×C73—41no—
774C22×C73—41no—
775C22×C73—41no—
776C22×C73—41no—
777C22×C73—41no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73C23×D411yescharacteristic
787C22×C73C22×#4111yescharacteristic
788C22×C73C22×#4111yescharacteristic
789C22×C73C22×#4111yescharacteristic
790C22×C73C22×#4111yescharacteristic
791C22×C73C2×H(5,𝔽2)11yescharacteristic
792C22×C73#58511yescharacteristic
793C2×D73—22no—
794C2×D73—22no—
795C2×D73—22no—
796C2×D73—41no—
797C2×D73—41no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—41no—
803C2×D73—41no—
804C2×D73—41no—
805C2×D73—41no—
806C2×D73—41no—
807C4×C73—22no—
808C4×C73—22no—
809C4×C73—22no—
810C4×C73—22no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73#55014yes—
818Dic73—22no—
819Dic73—22no—
820Dic73—22no—
821Dic73—22no—
822Dic73—22no—
823Dic73—22no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830Dic73—41no—
831Dic73#52514yes—
832#34727—731nomaximal, Sylow
833C2×C73—42no—
834C2×C73—42no—
835C2×C73—42no—
836C2×C73—81no—
837C2×C73C2×#52511yescharacteristic
838C2×C73#344411yescharacteristic
839C2×C73#346011yescharacteristic
840C2×C73C2×#55011yescharacteristic
841C2×C73D4×#4111yescharacteristic
842C2×C73#347511yescharacteristic
843C2×C73#348111yescharacteristic
844D73—42no—
845D73—81no—
846C2×#529—731no—
847C2×C4×#41—731no—
848#2479—731no—
849#2479—731no—
850#2471—731no—
851#2471—731no—
852#2467—731no—
853#2467—731no—
854#2456—731no—
855#2456—731no—
856#2454—731no—
857#2448—731no—
858#2441—731no—
859#2431—731no—
860#2428—731no—
861#2423—731no—
862#2414—731no—
863#2407—731no—
864#2397—731no—
865#2397D7311yescharacteristic, complemented
866#2392—731no—
867#2392—731no—
868C4×#127—731no—
869C4×#121—731no—
870C4×#121—731no—
871C4×#121—731no—
872C4×#121—731no—
873#2295—731no—
874#2290—731no—
875#2290—731no—
876C42×D4—731no—
877C73#3472711yescharacteristic, complemented, Sylow
878C22×#41—731no—
879C2×#127—731no—
880#529—1468no—
881C2×#126—731no—
882C2×#126—731no—
883C2×#125—731no—
884C2×#124—731no—
885C2×#123—731no—
886C2×#123—731no—
887C2×C22⋊Q8—731no—
888C2×#121—731no—
889C2×#121—731no—
890C2×#121—731no—
891C2×#121—731no—
892C2×#121—731no—
893C4×#41—1468no—
894C2×C4×Q8—731no—
895C2×C4×Q8—731no—
896C2×C4×D4—731no—
897C2×C4×D4—731no—
898C2×C4×D4—731no—
899C2×C4×D4—731no—
900C2×C4×D4—731no—
901C2×C4×D4—731no—
902C2×C4×D4—731no—
903C2×C4×D4—731no—
904C2×C4×D4—731no—
905C2×C4×D4—731no—
906C2×C4×D4—731no—
907C2×C4×D4—731no—
908C2×C4×D4—731no—
909C2×C4×D4—731no—
910C2×C4×D4C2×D7311yescharacteristic
911C2×C4×D4C2×D7311yescharacteristic
912C2×C4×D4C2×D7311yescharacteristic
913C2×C4×D4C2×D7311yescharacteristic
914C2×C4×D4C2×D7311yescharacteristic
915C2×C4×D4C2×D7311yescharacteristic
916C2×#117—731no—
917C2×#117—731no—
918C2×#117—731no—
919C2×#117—731no—
920C2×#117—731no—
921C22×C42—731no—
922C22×C42—731no—
923C22×C42—731no—
924C22×C42—731no—
925#399—731no—
926#399—731no—
927#399—731no—
928#399—731no—
929#399C2×D7311yescharacteristic
930#399C2×D7311yescharacteristic
931#399C2×D7311yescharacteristic
932#399C2×D7311yescharacteristic
933#398—731no—
934#398—731no—
935#397—731no—
936#397—731no—
937#396—731no—
938#396—731no—
939#396—731no—
940#396—731no—
941#394—731no—
942#394—731no—
943#394—731no—
944#394—731no—
945#394—731no—
946#394—731no—
947#392—731no—
948#392—731no—
949#392—731no—
950#392—731no—
951#392—731no—
952#392—731no—
953#392C2×D7311yescharacteristic
954#392C2×D7311yescharacteristic
955#392C2×D7311yescharacteristic
956#392C2×D7311yescharacteristic
957#391—731no—
958#391—731no—
959#390—731no—
960#390—731no—
961#390—731no—
962#390—731no—
963#390—731no—
964#390—731no—
965#390—731no—
966#390—731no—
967#390—731no—
968#390—731no—
969#389—731no—
970#389—731no—
971#389—731no—
972#389—731no—
973#389—731no—
974#389—731no—
975#388—731no—
976#388—731no—
977#388—731no—
978#388—731no—
979#388—731no—
980#388—731no—
981#388—731no—
982#388—731no—
983#388—731no—
984#388—731no—
985#388—731no—
986#388—731no—
987#387—731no—
988#387—731no—
989#387—731no—
990#387—731no—
991#387—731no—
992#387—731no—
993#387—731no—
994#387—731no—
995#386—731no—
996#386—731no—
997#386—731no—
998#386—731no—
999#386—731no—
1000#386—731no—
1001#386—731no—
1002#386—731no—
1003#386—731no—
1004#386—731no—
1005#386—731no—
1006#386—731no—
1007#385—731no—
1008#385—731no—
1009#385—731no—
1010#385—731no—
1011#384—731no—
1012#380—731no—
1013#380—731no—
1014#380—731no—
1015#380—731no—
1016C4×C4⋊C4—731no—
1017C4×C4⋊C4—731no—
1018C4×C4⋊C4—731no—
1019C4×C4⋊C4—731no—
1020C4×C4⋊C4—731no—
1021C4×C4⋊C4—731no—
1022C4×C22⋊C4—731no—
1023C4×C22⋊C4—731no—
1024C4×C22⋊C4—731no—
1025C4×C22⋊C4—731no—
1026C4×C22⋊C4—731no—
1027C4×C22⋊C4—731no—
1028C4×C22⋊C4—731no—
1029C4×C22⋊C4—731no—
1030C4×C22⋊C4—731no—
1031C4×C22⋊C4—731no—
1032#376—731no—
1033#376C2×D7311yescharacteristic
1034C43—731no—
1035C2×#41—1464no—
1036C2×#41—1464no—
1037C2×#41—1464no—
1038C22×Q8—731no—
1039C22×D4—731no—
1040C22×D4—731no—
1041C22×D4—731no—
1042C22×D4—731no—
1043C22×D4—731no—
1044C22×D4—731no—
1045C22×D4—731no—
1046C22×D4—731no—
1047C22×D4—731no—
1048C22×D4C22×D7311yescharacteristic
1049C22×D4C22×D7311yescharacteristic
1050C22×D4C22×D7311yescharacteristic
1051C22×D4C22×D7311yescharacteristic
1052C22×D4C22×D7311yescharacteristic
1053C22×D4C22×D7311yescharacteristic
1054C23×C4—731no—
1055C23×C4—731no—
1056C23×C4—731no—
1057C23×C4—731no—
1058C23×C4—731no—
1059C23×C4—731no—
1060C23×C4—731no—
1061C23×C4—731no—
1062C23×C4—731no—
1063C23×C4—731no—
1064C23×C4C22×D7311yescharacteristic
1065C23×C4C22×D7311yescharacteristic
1066C23×C4C22×D7311yescharacteristic
1067C23×C4C22×D7311yescharacteristic
1068#127—1464no—
1069#126—1464no—
1070#126—1464no—
1071#125—1464no—
1072#124—1464no—
1073#123—1464no—
1074#123—1464no—
1075C22⋊Q8—1464no—
1076#121—1464no—
1077#121—1464no—
1078#121—1464no—
1079#121—1464no—
1080#121—1464no—
1081C4×Q8—738no—
1082C4×Q8—1464no—
1083C4×D4—24no—
1084C4×D4—24no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—42no—
1088C4×D4—42no—
1089C4×D4—2922no—
1090C4×D4—2922no—
1091C4×D4—2922no—
1092C4×D4—2922no—
1093C4×D4—1464no—
1094C4×D4—1464no—
1095C4×D4—1464no—
1096C4×D4—1464no—
1097C4×D4—1464no—
1098C4×D4—1464no—
1099C4×D4—1464no—
1100C4×D4—1464no—
1101C4×D4—1464no—
1102C4×D4—1464no—
1103#117—1464no—
1104#117—1464no—
1105#117—1464no—
1106#117—1464no—
1107#117—1464no—
1108C2×C4⋊C4—731no—
1109C2×C4⋊C4—731no—
1110C2×C4⋊C4—731no—
1111C2×C4⋊C4—731no—
1112C2×C4⋊C4—731no—
1113C2×C4⋊C4—731no—
1114C2×C4⋊C4—731no—
1115C2×C4⋊C4—731no—
1116C2×C4⋊C4—731no—
1117C2×C4⋊C4—731no—
1118C2×C4⋊C4—731no—
1119C2×C4⋊C4—731no—
1120C2×C4⋊C4—731no—
1121C2×C4⋊C4—731no—
1122C2×C4⋊C4—731no—
1123C2×C4⋊C4—731no—
1124C2×C4⋊C4—731no—
1125C2×C4⋊C4—731no—
1126C2×C4⋊C4—731no—
1127C2×C4⋊C4—731no—
1128C2×C4⋊C4—731no—
1129C2×C4⋊C4—731no—
1130C2×C4⋊C4—731no—
1131C2×C4⋊C4—731no—
1132C2×C4⋊C4C22×D7311yescharacteristic
1133C2×C4⋊C4C22×D7311yescharacteristic
1134C2×C4⋊C4C22×D7311yescharacteristic
1135C2×C4⋊C4C22×D7311yescharacteristic
1136C2×C4⋊C4C22×D7311yescharacteristic
1137C2×C4⋊C4C22×D7311yescharacteristic
1138C2×C22⋊C4—731no—
1139C2×C22⋊C4—731no—
1140C2×C22⋊C4—731no—
1141C2×C22⋊C4—731no—
1142C2×C22⋊C4—731no—
1143C2×C22⋊C4—731no—
1144C2×C22⋊C4—731no—
1145C2×C22⋊C4—731no—
1146C2×C22⋊C4—731no—
1147C2×C22⋊C4—731no—
1148C2×C22⋊C4—731no—
1149C2×C22⋊C4—731no—
1150C2×C22⋊C4—731no—
1151C2×C22⋊C4—731no—
1152C2×C22⋊C4—731no—
1153C2×C22⋊C4—731no—
1154C2×C22⋊C4—731no—
1155C2×C22⋊C4—731no—
1156C2×C22⋊C4—731no—
1157C2×C22⋊C4—731no—
1158C2×C22⋊C4—731no—
1159C2×C22⋊C4—731no—
1160C2×C22⋊C4—731no—
1161C2×C22⋊C4—731no—
1162C2×C22⋊C4—731no—
1163C2×C22⋊C4—731no—
1164C2×C22⋊C4—731no—
1165C2×C22⋊C4—731no—
1166C2×C22⋊C4—731no—
1167C2×C22⋊C4—731no—
1168C2×C22⋊C4—731no—
1169C2×C22⋊C4—731no—
1170C2×C22⋊C4—731no—
1171C2×C22⋊C4—731no—
1172C2×C22⋊C4C22×D7311yescharacteristic
1173C2×C22⋊C4C22×D7311yescharacteristic
1174C2×C22⋊C4C22×D7311yescharacteristic
1175C2×C22⋊C4C22×D7311yescharacteristic
1176C2×C22⋊C4C22×D7311yescharacteristic
1177C2×C22⋊C4C22×D7311yescharacteristic
1178C2×C22⋊C4C22×D7311yescharacteristic
1179C2×C22⋊C4C22×D7311yescharacteristic
1180C2×C22⋊C4C22×D7311yescharacteristic
1181C2×C22⋊C4C22×D7311yescharacteristic
1182C2×C22⋊C4C22×D7311yescharacteristic
1183C2×C22⋊C4C22×D7311yescharacteristic
1184C2×C42—731no—
1185C2×C42—731no—
1186C2×C42—731no—
1187C2×C42—731no—
1188C2×C42—731no—
1189C2×C42—731no—
1190C2×C42—731no—
1191C2×C42—731no—
1192C2×C42—731no—
1193C2×C42—731no—
1194C2×C42—731no—
1195C2×C42—731no—
1196C2×C42—731no—
1197C2×C42—731no—
1198C2×C42—731no—
1199C2×C42—731no—
1200C2×C42—731no—
1201C2×C42—731no—
1202C2×C42—1464no—
1203C2×C42—1464no—
1204C2×C42—1464no—
1205C2×C42—1464no—
1206C2×C42C22×D7311yescharacteristic
1207C2×C42C22×D7311yescharacteristic
1208C2×C42C22×D7311yescharacteristic
1209#95—731no—
1210#95—731no—
1211#95—731no—
1212#95—731no—
1213#95—731no—
1214#95—731no—
1215#95—731no—
1216#95—731no—
1217#95—731no—
1218#95—731no—
1219#95—731no—
1220#95—731no—
1221#95—731no—
1222#95—731no—
1223#95—731no—
1224#95—731no—
1225#95—731no—
1226#95—731no—
1227#95—731no—
1228#95—731no—
1229#95—731no—
1230#95—731no—
1231#95—731no—
1232#95—731no—
1233#95C22×D7311yescharacteristic
1234#95C22×D7311yescharacteristic
1235#95C22×D7311yescharacteristic
1236#95C22×D7311yescharacteristic
1237C24—731no—
1238C24—731no—
1239C24C23×D7311yescharacteristic
1240C24C23×D7311yescharacteristic
1241C24C23×D7311yescharacteristic
1242C24C23×D7311yescharacteristic
1243#41—14632no—
1244C2×Q8—734no—
1245C2×Q8—1462no—
1246C2×Q8—1462no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—2921no—
1266C2×D4—2921no—
1267C2×D4—2921no—
1268C2×D4—2921no—
1269C2×D4—2921no—
1270C2×D4—2921no—
1271C2×D4—2921no—
1272C2×D4—734no—
1273C2×D4—1462no—
1274C2×D4—1462no—
1275C2×D4—1462no—
1276C2×D4—1462no—
1277C2×D4—1462no—
1278C2×D4—1462no—
1279C2×D4—1462no—
1280C2×D4—1462no—
1281C2×D4—1462no—
1282C2×D4—1462no—
1283C2×D4—1462no—
1284C2×D4—1462no—
1285C2×D4—1462no—
1286C2×D4—1462no—
1287C2×D4—1462no—
1288C2×D4—1462no—
1289C2×D4—1462no—
1290C2×D4—1462no—
1291C2×D4—1462no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—2921no—
1305C22×C4—2921no—
1306C22×C4—2921no—
1307C22×C4—2921no—
1308C22×C4—731no—
1309C22×C4—734no—
1310C22×C4—731no—
1311C22×C4—731no—
1312C22×C4—731no—
1313C22×C4—731no—
1314C22×C4—731no—
1315C22×C4—731no—
1316C22×C4—731no—
1317C22×C4—731no—
1318C22×C4—731no—
1319C22×C4—731no—
1320C22×C4—731no—
1321C22×C4—731no—
1322C22×C4—731no—
1323C22×C4—1462no—
1324C22×C4—1462no—
1325C22×C4—1462no—
1326C22×C4—1462no—
1327C22×C4—1462no—
1328C22×C4—1462no—
1329C22×C4—1462no—
1330C22×C4—1462no—
1331C22×C4—1462no—
1332C22×C4—1462no—
1333C22×C4—1462no—
1334C22×C4—1462no—
1335C22×C4—1462no—
1336C22×C4—1462no—
1337C22×C4—1462no—
1338C22×C4—1462no—
1339C22×C4—1462no—
1340C22×C4—1462no—
1341C22×C4—1462no—
1342C22×C4—1462no—
1343C22×C4—1462no—
1344C22×C4—1462no—
1345C22×C4—1462no—
1346C22×C4—1462no—
1347C22×C4—1462no—
1348C22×C4C23×D7311yescharacteristic
1349C22×C4C23×D7311yescharacteristic
1350C22×C4C23×D7311yescharacteristic
1351C22×C4C23×D7311yescharacteristic
1352C22×C4C23×D7311yescharacteristic
1353C22×C4C23×D7311yescharacteristic
1354C22×C4C23×D7311yescharacteristic
1355C22×C4C23×D7311yescharacteristic
1356C22×C4C23×D7311yescharacteristic
1357C22×C4C23×D7311yescharacteristic
1358C22×C4C23×D7311yescharacteristic
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—2921no—
1366C4⋊C4—2921no—
1367C4⋊C4—2921no—
1368C4⋊C4—2921no—
1369C4⋊C4—2921no—
1370C4⋊C4—2921no—
1371C4⋊C4—734no—
1372C4⋊C4—734no—
1373C4⋊C4—734no—
1374C4⋊C4—1462no—
1375C4⋊C4—1462no—
1376C4⋊C4—1462no—
1377C4⋊C4—1462no—
1378C4⋊C4—1462no—
1379C4⋊C4—1462no—
1380C4⋊C4—1462no—
1381C4⋊C4—1462no—
1382C4⋊C4—1462no—
1383C4⋊C4—1462no—
1384C4⋊C4—1462no—
1385C4⋊C4—1462no—
1386C4⋊C4—1462no—
1387C4⋊C4—1462no—
1388C4⋊C4—1462no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—2921no—
1402C22⋊C4—2921no—
1403C22⋊C4—2921no—
1404C22⋊C4—2921no—
1405C22⋊C4—2921no—
1406C22⋊C4—2921no—
1407C22⋊C4—2921no—
1408C22⋊C4—2921no—
1409C22⋊C4—2921no—
1410C22⋊C4—2921no—
1411C22⋊C4—734no—
1412C22⋊C4—1462no—
1413C22⋊C4—1462no—
1414C22⋊C4—1462no—
1415C22⋊C4—1462no—
1416C22⋊C4—1462no—
1417C22⋊C4—1462no—
1418C22⋊C4—1462no—
1419C22⋊C4—1462no—
1420C22⋊C4—1462no—
1421C22⋊C4—1462no—
1422C22⋊C4—1462no—
1423C22⋊C4—1462no—
1424C22⋊C4—1462no—
1425C22⋊C4—1462no—
1426C22⋊C4—1462no—
1427C22⋊C4—1462no—
1428C22⋊C4—1462no—
1429C22⋊C4—1462no—
1430C22⋊C4—1462no—
1431C22⋊C4—1462no—
1432C22⋊C4—1462no—
1433C22⋊C4—1462no—
1434C22⋊C4—1462no—
1435C42—22no—
1436C42—2921no—
1437C42—734no—
1438C42—734no—
1439C42—1462no—
1440C42—1462no—
1441C42—1462no—
1442C42—1462no—
1443C42—1462no—
1444C42—1462no—
1445C42—1462no—
1446C42—1462no—
1447C42—1462no—
1448C42—1462no—
1449C42—1462no—
1450C42—1462no—
1451C42—1462no—
1452C42—1462no—
1453C42—1462no—
1454C42D4×D7314yes—
1455C42#1192402714yescomplemented
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—732no—
1482C23—1461no—
1483C23—1461no—
1484C23—1461no—
1485C23—1461no—
1486C23—1461no—
1487C23—1461no—
1488C23—1461no—
1489C23—1461no—
1490C23—1461no—
1491C23—1461no—
1492C23—1461no—
1493C23—1461no—
1494C23—1461no—
1495C23#41×D7312yes—
1496C23#41×D7312yes—
1497C23#41×D7312yes—
1498C23C24×D7311yescharacteristic
1499Q8—1468no—
1500D4—28no—
1501D4—28no—
1502D4—44no—
1503D4—44no—
1504D4—44no—
1505D4—44no—
1506D4—2924no—
1507D4—2924no—
1508D4—2924no—
1509D4—2924no—
1510D4—2924no—
1511D4—2924no—
1512D4—2924no—
1513D4—1468no—
1514D4—1468no—
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—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—44no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—44no—
1545C2×C4—2924no—
1546C2×C4—2924no—
1547C2×C4—2924no—
1548C2×C4—2924no—
1549C2×C4—2924no—
1550C2×C4—2924no—
1551C2×C4—2924no—
1552C2×C4—732no—
1553C2×C4—732no—
1554C2×C4—732no—
1555C2×C4—732no—
1556C2×C4—732no—
1557C2×C4—732no—
1558C2×C4—732no—
1559C2×C4—732no—
1560C2×C4—732no—
1561C2×C4—1468no—
1562C2×C4—1461no—
1563C2×C4—1461no—
1564C2×C4—1461no—
1565C2×C4—1461no—
1566C2×C4—1461no—
1567C2×C4—1461no—
1568C2×C4—1461no—
1569C2×C4—1461no—
1570C2×C4—1461no—
1571C2×C4—1461no—
1572C2×C4—1461no—
1573C2×C4—1461no—
1574C2×C4—1461no—
1575C2×C4—1461no—
1576C2×C4—1461no—
1577C2×C4—1461no—
1578C2×C4—1461no—
1579C2×C4—1461no—
1580C2×C4—1461no—
1581C2×C4—1461no—
1582C2×C4—1461no—
1583C2×C4—1468no—
1584C2×C4—1468no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4—1461no—
1595C2×C4—1461no—
1596C2×C4—1461no—
1597C2×C4C2×D4×D7312yes—
1598C2×C4C2×D4×D7312yes—
1599C2×C4C2×D4×D7312yes—
1600C2×C4C2×#1192402712yes—
1601C2×C4C2×#1192402712yes—
1602C2×C4C2×#1192402712yes—
1603C2×C4#1455663612yes—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—2921no—
1633C22—2921no—
1634C22—2921no—
1635C22—2921no—
1636C22—2921no—
1637C22—2921no—
1638C22—2921no—
1639C22—2921no—
1640C22—2921no—
1641C22—2921no—
1642C22—2921no—
1643C22—1462no—
1644C22—1462no—
1645C22—1462no—
1646C22C22×D4×D7311yescharacteristic
1647C22C2×#41×D7311yescharacteristic
1648C22C2×#41×D7311yescharacteristic
1649C22C2×#41×D7311yescharacteristic
1650C22C22×#1192402711yescharacteristic
1651C22C2×#1455663611yescharacteristic
1652C22#1798942311yescharacteristic
1653C4—22no—
1654C4—22no—
1655C4—22no—
1656C4—22no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—2921no—
1664C4—2921no—
1665C4—2921no—
1666C4—2921no—
1667C4—2921no—
1668C4—2921no—
1669C4—2921no—
1670C4—734no—
1671C4—1462no—
1672C4—1462no—
1673C4—1462no—
1674C4—1462no—
1675C4—1462no—
1676C4—1462no—
1677C4#1798925714yes—
1678C2—42no—
1679C2—42no—
1680C2—42no—
1681C2—81no—
1682C2—2922no—
1683C2—5841no—
1684C2#525×D7311yescharacteristic
1685C2#2262322311yescharacteristic
1686C2#2262334911yescharacteristic
1687C2C2×#1798925711yescharacteristic
1688C2#2262341411yescharacteristic
1689C2#2262349111yescharacteristic
1690C2#2262353311yescharacteristic
subgroupG/H
centerC22×C4C23×D73
commutator, socle, cosocleC23×C73C25
FrattiniC23C24×D73
FittingC73×#2397C2
hypercenter#2397D73
hypocenterC73#34727
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C22×C4 ◁ #2397

Complements

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

NH ≅ G/Ntype
1. C2×#17989117C2semidirect
2. C2×C4×#11924027C2semidirect
3. #22614165C2semidirect
4. #22614157C2semidirect
5. #22614043C2semidirect
6. #22614035C2semidirect
7. #22613985C2semidirect
8. #22613977C2semidirect
9. #22613824C2semidirect
10. #22613816C2semidirect
11. #22613798C2semidirect
12. #22613724C2semidirect
13. #22613637C2semidirect
14. #22613545C2semidirect
15. #22613512C2semidirect
16. #22613449C2semidirect
17. #22613342C2semidirect
18. #22613269C2semidirect
19. #22613210C2semidirect
20. #22613173C2semidirect
21. #22613169C2semidirect
22. C4×#14556587C2semidirect
23. C4×#14556563C2semidirect
24. C4×#14556563C2semidirect
25. C4×#14556563C2semidirect
26. C4×#14556562C2semidirect
27. #22612403C2semidirect
28. #22612376C2semidirect
29. #22612375C2semidirect
30. C4×D4×Dic73C2semidirect
31. C73×#2397C2semidirect
225. C4×Dic146D4semidirect
509. C22⋊Dic73#41semidirect
609. C42×C73#41semidirect
865. #2397D73semidirect
877. C73#34727semidirect
1455. C42#11924027semidirect

Maximal subgroups

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

subgroupindex
C2×#179891172
C2×C4×#119240272
#226141652
#226141572
#226140432
#226140352
#226139852
#226139772
#226138242
#226138162
#226137982
#226137242
#226136372
#226135452
#226135122
#226134492
#226133422
#226132692
#226132102
#226131732
#226131692
C4×#145565872
C4×#145565632
C4×#145565622
#226124032
#226123762
#226123752
C4×D4×Dic732
C73×#23972
#3472773