Finite Group Databasebeta

← #2576×D73 #33256431

Subgroups — #2576×D73 #33256431

Order 18688.

2550 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22615242C211yesmaximal, characteristic, complemented
2#22615241C211yesmaximal, characteristic, complemented
3#22615240C211yesmaximal, characteristic, complemented
4#22615239C211yesmaximal, characteristic, complemented
5#22615238C211yesmaximal, characteristic, complemented
6#22615237C211yesmaximal, characteristic, complemented
7#22615236C211yesmaximal, characteristic, complemented
8#22615235C211yesmaximal, characteristic, complemented
9#22615234C211yesmaximal, characteristic, complemented
10#22615233C211yesmaximal, characteristic, complemented
11#22615232C211yesmaximal, characteristic, complemented
12#22615231C211yesmaximal, characteristic, complemented
13#22615230C211yesmaximal, characteristic, complemented
14#22615229C211yesmaximal, characteristic, complemented
15#22615228C211yesmaximal, characteristic, complemented
16#401×D73C211yesmaximal, characteristic, complemented
17#397×D73C211yesmaximal, characteristic, complemented
18#396×D73C211yesmaximal, characteristic, complemented
19#394×D73C211yesmaximal, characteristic
20#388×D73C211yesmaximal, characteristic, complemented
21#388×D73C211yesmaximal, characteristic, complemented
22#387×D73C211yesmaximal, characteristic, complemented
23#387×D73C211yesmaximal, characteristic, complemented
24#386×D73C211yesmaximal, characteristic
25#386×D73C211yesmaximal, characteristic
26#385×D73C211yesmaximal, characteristic, complemented
27#382×D73C211yesmaximal, characteristic, complemented
28#381×D73C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D73C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D73C211yesmaximal, characteristic, complemented
31C73×#2576C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C23×C4×D73C2211yescharacteristic
34C23×C4×D73C2211yescharacteristic
35C2×C4⋊C4×D73C2211yescharacteristic
36C2×C4⋊C4×D73C2211yescharacteristic
37C2×C4⋊C4×D73C2211yescharacteristic
38C2×C4⋊C4×D73C2211yescharacteristic
39C2×C4⋊C4×D73C2211yescharacteristic
40C2×C22⋊C4×D73C2211yescharacteristic
41C2×C22⋊C4×D73C2211yescharacteristic
42C2×C22⋊C4×D73C2211yescharacteristic
43C2×C22⋊C4×D73C2211yescharacteristic
44C2×C22⋊C4×D73C2211yescharacteristic
45C2×C22⋊C4×D73C2211yescharacteristic
46C2×C22⋊C4×D73C2211yescharacteristic
47C2×C22⋊C4×D73C2211yescharacteristic
48C2×C22⋊C4×D73C2211yescharacteristic
49C2×C22⋊C4×D73C2211yescharacteristic
50C2×C42×D73C2211yescharacteristic
51C2×C42×D73C2211yescharacteristic
52C2×C42×D73C2211yescharacteristic
53C73⋊#401C2211yescharacteristic, complemented
54C73⋊#401C2211yescharacteristic, complemented
55C73⋊#401C2211yescharacteristic, complemented
56C73⋊#401C2211yescharacteristic, complemented
57C73⋊#401C2211yescharacteristic, complemented
58C73⋊#401C2211yescharacteristic, complemented
59C73⋊#401C2211yescharacteristic, complemented
60#17988516C2211yescharacteristic, complemented
61#17988516C2211yescharacteristic, complemented
62#17988515C2211yescharacteristic, complemented
63#17988515C2211yescharacteristic, complemented
64#17988514C2211yescharacteristic, complemented
65#17988513C2211yescharacteristic, complemented
66#17988512C2211yescharacteristic, complemented
67#17988511C2211yescharacteristic, complemented
68#17988510C2211yescharacteristic, complemented
69#17988510C2211yescharacteristic, complemented
70#17988510C2211yescharacteristic, complemented
71#17988509C2211yescharacteristic, complemented
72#17988509C2211yescharacteristic, complemented
73#17988509C2211yescharacteristic, complemented
74#17988505C2211yescharacteristic
75#17988504C2211yescharacteristic
76#17988503C2211yescharacteristic
77#17988503C2211yescharacteristic
78#17988502C2211yescharacteristic
79#17988502C2211yescharacteristic
80#17988501C2211yescharacteristic
81#17988481C2211yescharacteristic, complemented
82#17988481C2211yescharacteristic, complemented
83#17988480C2211yescharacteristic, complemented
84#17988480C2211yescharacteristic, complemented
85#17988479C2211yescharacteristic, complemented
86#17988479C2211yescharacteristic, complemented
87#17988478C2211yescharacteristic, complemented
88#17988478C2211yescharacteristic, complemented
89#17988477C2211yescharacteristic, complemented
90#17988477C2211yescharacteristic, complemented
91#17988476C2211yescharacteristic, complemented
92#17988476C2211yescharacteristic, complemented
93#17988475C2211yescharacteristic, complemented
94#17988475C2211yescharacteristic, complemented
95#17988474C2211yescharacteristic, complemented
96#17988474C2211yescharacteristic, complemented
97#17988473C2211yescharacteristic, complemented
98#17988473C2211yescharacteristic, complemented
99#17988472C2211yescharacteristic, complemented
100#17988472C2211yescharacteristic, complemented
101#17988471C2211yescharacteristic, complemented
102#17988471C2211yescharacteristic, complemented
103#17988470C2211yescharacteristic, complemented
104#17988470C2211yescharacteristic, complemented
105#17988469C2211yescharacteristic, complemented
106#17988469C2211yescharacteristic, complemented
107#17988468C2211yescharacteristic, complemented
108#17988468C2211yescharacteristic, complemented
109#17988467C2211yescharacteristic
110#17988467C2211yescharacteristic
111#17988466C2211yescharacteristic
112#17988466C2211yescharacteristic
113#17988465C2211yescharacteristic
114#17988465C2211yescharacteristic
115#17988465C2211yescharacteristic
116#17988465C2211yescharacteristic
117#17988464C2211yescharacteristic
118#17988464C2211yescharacteristic
119#17988463C2211yescharacteristic
120#17988463C2211yescharacteristic
121#17988463C2211yescharacteristic
122#17988463C2211yescharacteristic
123#17988462C2211yescharacteristic, complemented
124#17988461C2211yescharacteristic, complemented
125#17988461C2211yescharacteristic, complemented
126#17988460C2211yescharacteristic, complemented
127#17988459C2211yescharacteristic, complemented
128#17988458C2211yescharacteristic, complemented
129#17988458C2211yescharacteristic, complemented
130#17988453C2211yescharacteristic, complemented
131#17988452C2211yescharacteristic, complemented
132#17988452C2211yescharacteristic, complemented
133#17988451C2211yescharacteristic, complemented
134#17988451C2211yescharacteristic, complemented
135#17988451C2211yescharacteristic, complemented
136#17988451C2211yescharacteristic, complemented
137#17988450C2211yescharacteristic, complemented
138#17988449C2211yescharacteristic, complemented
139#17988449C2211yescharacteristic, complemented
140#17988449C2211yescharacteristic, complemented
141#17988449C2211yescharacteristic, complemented
142#17988448C2211yescharacteristic, complemented
143#17988448C2211yescharacteristic, complemented
144C22⋊C4×Dic73C2211yescharacteristic, complemented
145C22⋊C4×Dic73C2211yescharacteristic, complemented
146C22⋊C4×Dic73C2211yescharacteristic, complemented
147C22⋊C4×Dic73C2211yescharacteristic, complemented
148C4×#11924005C2211yescharacteristic, complemented
149C4×#11924005C2211yescharacteristic, complemented
150C4×#11924005C2211yescharacteristic, complemented
151C4×#11924005C2211yescharacteristic, complemented
152C4×C22⋊Dic73C2211yescharacteristic, complemented
153C4×C22⋊Dic73C2211yescharacteristic, complemented
154#17988434C2211yescharacteristic, complemented
155#17988434C2211yescharacteristic, complemented
156#17988434C2211yescharacteristic, complemented
157#17988434C2211yescharacteristic, complemented
158#95×D73C2211yescharacteristic
159#95×D73C2211yescharacteristic
160#95×D73C2211yescharacteristic
161#95×D73C2211yescharacteristic
162#95×D73C2211yescharacteristic
163#95×D73C2211yescharacteristic
164#95×D73C2211yescharacteristic
165#95×D73C2211yescharacteristic
166#95×D73C2211yescharacteristic
167#95×D73C2211yescharacteristic
168#95×D73C2211yescharacteristic
169#95×D73C2211yescharacteristic
170#95×D73C2211yescharacteristic
171#95×D73C2211yescharacteristic
172#401×C73C2211yescharacteristic, complemented
173#397×C73C2211yescharacteristic, complemented
174#396×C73C2211yescharacteristic, complemented
175#394×C73C2211yescharacteristic
176#388×C73C2211yescharacteristic, complemented
177#388×C73C2211yescharacteristic, complemented
178#387×C73C2211yescharacteristic, complemented
179#387×C73C2211yescharacteristic, complemented
180#386×C73C2211yescharacteristic
181#386×C73C2211yescharacteristic
182#385×C73C2211yescharacteristic, complemented
183#382×C73C2211yescharacteristic, complemented
184#381×C73C2211yescharacteristic, complemented
185C4×C22⋊C4×C73C2211yescharacteristic, complemented
186C4×C22⋊C4×C73C2211yescharacteristic, complemented
187C24×D73C2311yescharacteristic
188C24×D73C2311yescharacteristic
189C22×D292C2311yescharacteristic
190C22×C22⋊D73C2311yescharacteristic
191C22×C22⋊D73C2311yescharacteristic
192C2×D4×D73—24no—
193C2×D4×D73—24no—
194C2×D4×D73—42no—
195C23×Dic73C2311yescharacteristic
196C23×Dic73C2311yescharacteristic
197C22×C4×D73—24no—
198C22×C4×D73—24no—
199C22×C4×D73—24no—
200C22×C4×D73—42no—
201C22×C4×D73—42no—
202C22×C4×D73—42no—
203C22×C4×D73C2311yescharacteristic
204C22×C4×D73C2311yescharacteristic
205C22×C4×D73C2311yescharacteristic
206C22×C4×D73C2311yescharacteristic
207C22×C4×D73C2311yescharacteristic
208C22×C4×D73C2311yescharacteristic
209C22×C4×D73C2311yescharacteristic
210C22×C4×D73C2311yescharacteristic
211C22×C4×D73C2311yescharacteristic
212C22×C4×D73C2311yescharacteristic
213C22×C4×D73C2311yescharacteristic
214C22×C4×D73C2311yescharacteristic
215C22×C4×D73C2311yescharacteristic
216C22×C4×D73C2311yescharacteristic
217C22×C4×D73C2311yescharacteristic
218C22×C4×D73C2311yescharacteristic
219C22×C4×D73C2311yescharacteristic
220C2×C4⋊Dic73C2311yescharacteristic
221C2×C4⋊Dic73C2311yescharacteristic
222C2×C4⋊Dic73C2311yescharacteristic
223C2×C4⋊Dic73C2311yescharacteristic
224C2×C4⋊Dic73C2311yescharacteristic
225C2×#11924007C2311yescharacteristic
226C2×#11924007C2311yescharacteristic
227C2×#11924007C2311yescharacteristic
228C2×#11924007C2311yescharacteristic
229C2×#11924007C2311yescharacteristic
230C2×#11924007C2311yescharacteristic
231C2×#11924007C2311yescharacteristic
232C2×#11924007C2311yescharacteristic
233C2×#11924007C2311yescharacteristic
234C2×#11924007C2311yescharacteristic
235C4⋊C4×D73—24no—
236C4⋊C4×D73—24no—
237C4⋊C4×D73—42no—
238C4⋊C4×D73—42no—
239C4⋊C4×D73—42no—
240C2×C22⋊Dic73C2311yescharacteristic
241C2×C22⋊Dic73C2311yescharacteristic
242C2×C22⋊Dic73C2311yescharacteristic
243C2×C22⋊Dic73C2311yescharacteristic
244C2×C22⋊Dic73C2311yescharacteristic
245C2×C22⋊Dic73C2311yescharacteristic
246C2×C22⋊Dic73C2311yescharacteristic
247C2×C22⋊Dic73C2311yescharacteristic
248C2×C22⋊Dic73C2311yescharacteristic
249C2×C22⋊Dic73C2311yescharacteristic
250C2×#11924005C2311yescharacteristic
251C2×#11924005C2311yescharacteristic
252C2×#11924005C2311yescharacteristic
253C2×#11924005C2311yescharacteristic
254C2×#11924005C2311yescharacteristic
255C2×#11924005C2311yescharacteristic
256C2×#11924005C2311yescharacteristic
257C2×#11924005C2311yescharacteristic
258C2×#11924005C2311yescharacteristic
259C2×#11924005C2311yescharacteristic
260C2×#11924005C2311yescharacteristic
261C2×#11924005C2311yescharacteristic
262C2×#11924005C2311yescharacteristic
263C2×#11924005C2311yescharacteristic
264C2×#11924005C2311yescharacteristic
265C2×#11924005C2311yescharacteristic
266C2×#11924005C2311yescharacteristic
267C2×#11924005C2311yescharacteristic
268C2×#11924005C2311yescharacteristic
269C2×#11924005C2311yescharacteristic
270C22⋊C4×D73—24no—
271C22⋊C4×D73—24no—
272C22⋊C4×D73—24no—
273C22⋊C4×D73—24no—
274C22⋊C4×D73—24no—
275C22⋊C4×D73—24no—
276C22⋊C4×D73—24no—
277C22⋊C4×D73—42no—
278C22⋊C4×D73—42no—
279C22⋊C4×D73—42no—
280C2×C4×Dic73C2311yescharacteristic
281C2×C4×Dic73C2311yescharacteristic
282C2×C4×Dic73C2311yescharacteristic
283C2×C4×Dic73C2311yescharacteristic
284C2×C4×Dic73C2311yescharacteristic
285C2×C4×Dic73C2311yescharacteristic
286C2×C4×Dic73C2311yescharacteristic
287C2×C4×Dic73C2311yescharacteristic
288C2×C4×Dic73C2311yescharacteristic
289C42×D73—24no—
290C42×D73—42no—
291C42×D73—42no—
292#14556498C2311yescharacteristic
293#14556498C2311yescharacteristic
294#14556498C2311yescharacteristic
295#14556498C2311yescharacteristic
296#14556498C2311yescharacteristic
297#14556498C2311yescharacteristic
298#14556498C2311yescharacteristic
299#14556498C2311yescharacteristic
300#14556498C2311yescharacteristic
301#14556498C2311yescharacteristic
302#14556498C2311yescharacteristic
303#14556498C2311yescharacteristic
304#14556498C2311yescharacteristic
305#14556498C2311yescharacteristic
306#14556498C2311yescharacteristic
307#14556498C2311yescharacteristic
308#14556498C2311yescharacteristic
309#14556498C2311yescharacteristic
310#14556498C2311yescharacteristic
311#14556498C2311yescharacteristic
312#14556498C2311yescharacteristic
313#14556498C2311yescharacteristic
314#14556498C2311yescharacteristic
315#14556498C2311yescharacteristic
316#14556498C2311yescharacteristic
317#14556498C2311yescharacteristic
318#14556498C2311yescharacteristic
319#14556498C2311yescharacteristic
320#14556498C2311yescharacteristic
321#14556498C2311yescharacteristic
322#14556498C2311yescharacteristic
323#14556498C2311yescharacteristic
324#14556498C2311yescharacteristic
325#14556498C2311yescharacteristic
326#14556498C2311yescharacteristic
327#14556498C2311yescharacteristic
328#14556498C2311yescharacteristic
329#14556498C2311yescharacteristic
330#14556498C2311yescharacteristic
331#14556498C2311yescharacteristic
332#14556498C2311yescharacteristic
333#14556498C2311yescharacteristic
334C22×D4×C73C2311yescharacteristic
335C23×C4×C73C2311yescharacteristic
336C23×C4×C73C2311yescharacteristic
337C2×C4⋊C4×C73C2311yescharacteristic
338C2×C4⋊C4×C73C2311yescharacteristic
339C2×C4⋊C4×C73C2311yescharacteristic
340C2×C4⋊C4×C73C2311yescharacteristic
341C2×C4⋊C4×C73C2311yescharacteristic
342C2×C22⋊C4×C73C2311yescharacteristic
343C2×C22⋊C4×C73C2311yescharacteristic
344C2×C22⋊C4×C73C2311yescharacteristic
345C2×C22⋊C4×C73C2311yescharacteristic
346C2×C22⋊C4×C73C2311yescharacteristic
347C2×C22⋊C4×C73C2311yescharacteristic
348C2×C22⋊C4×C73C2311yescharacteristic
349C2×C22⋊C4×C73C2311yescharacteristic
350C2×C22⋊C4×C73C2311yescharacteristic
351C2×C22⋊C4×C73C2311yescharacteristic
352C2×C42×C73C2311yescharacteristic
353C2×C42×C73C2311yescharacteristic
354C2×C42×C73C2311yescharacteristic
355#95×C73C2311yescharacteristic
356#95×C73C2311yescharacteristic
357#95×C73C2311yescharacteristic
358#95×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363#95×C73C2311yescharacteristic
364#95×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
369C23×D73—22no—
370C23×D73—22no—
371C23×D73—22no—
372C23×D73—22no—
373C23×D73—22no—
374C23×D73—22no—
375C23×D73—22no—
376C23×D73—22no—
377C23×D73—22no—
378C23×D73—22no—
379C23×D73—22no—
380C23×D73—22no—
381C23×D73#4114yes—
382C23×D73#4114yes—
383C23×D73C2411yescharacteristic
384C23×D73C2411yescharacteristic
385C23×D73C2411yescharacteristic
386C2×D292—22no—
387C2×D292—22no—
388C2×D292—41no—
389C2×C22⋊D73—22no—
390C2×C22⋊D73—22no—
391C2×C22⋊D73—22no—
392C2×C22⋊D73—22no—
393C2×C22⋊D73—41no—
394C2×C22⋊D73—41no—
395D4×D73—416no—
396C22×Dic73—22no—
397C22×Dic73—22no—
398C22×Dic73—22no—
399C22×Dic73—41no—
400C22×Dic73—41no—
401C22×Dic73—41no—
402C22×Dic73C2411yescharacteristic
403C22×Dic73C2411yescharacteristic
404C22×Dic73C2411yescharacteristic
405C22×Dic73C2411yescharacteristic
406C22×Dic73C2411yescharacteristic
407C22×Dic73C2411yescharacteristic
408C22×Dic73C2411yescharacteristic
409C22×Dic73C2411yescharacteristic
410C22×Dic73C2411yescharacteristic
411C22×Dic73C2411yescharacteristic
412C22×Dic73C2411yescharacteristic
413C22×Dic73C2411yescharacteristic
414C22×Dic73C2411yescharacteristic
415C2×C4×D73—22no—
416C2×C4×D73—22no—
417C2×C4×D73—22no—
418C2×C4×D73—22no—
419C2×C4×D73—22no—
420C2×C4×D73—22no—
421C2×C4×D73—22no—
422C2×C4×D73—22no—
423C2×C4×D73—22no—
424C2×C4×D73—22no—
425C2×C4×D73—22no—
426C2×C4×D73—22no—
427C2×C4×D73—22no—
428C2×C4×D73—22no—
429C2×C4×D73—22no—
430C2×C4×D73—22no—
431C2×C4×D73—22no—
432C2×C4×D73—22no—
433C2×C4×D73—22no—
434C2×C4×D73—22no—
435C2×C4×D73—22no—
436C2×C4×D73—22no—
437C2×C4×D73—22no—
438C2×C4×D73—22no—
439C2×C4×D73—22no—
440C2×C4×D73—22no—
441C2×C4×D73—22no—
442C2×C4×D73—22no—
443C2×C4×D73—22no—
444C2×C4×D73—22no—
445C2×C4×D73—22no—
446C2×C4×D73—22no—
447C2×C4×D73—22no—
448C2×C4×D73—22no—
449C2×C4×D73—22no—
450C2×C4×D73—22no—
451C2×C4×D73—22no—
452C2×C4×D73—22no—
453C2×C4×D73—22no—
454C2×C4×D73—22no—
455C2×C4×D73—22no—
456C2×C4×D73—22no—
457C2×C4×D73—416no—
458C2×C4×D73—416no—
459C2×C4×D73—41no—
460C2×C4×D73—41no—
461C2×C4×D73—41no—
462C2×C4×D73—41no—
463C2×C4×D73—41no—
464C2×C4×D73—41no—
465C2×C4×D73#4114yes—
466C2×C4×D73#4114yes—
467C2×C4×D73#4114yes—
468C4⋊Dic73—22no—
469C4⋊Dic73—22no—
470C4⋊Dic73—41no—
471C4⋊Dic73—41no—
472C4⋊Dic73—41no—
473#11924007—22no—
474#11924007—22no—
475#11924007—22no—
476#11924007—22no—
477#11924007—41no—
478#11924007—41no—
479#11924007—41no—
480#11924007—41no—
481#11924007—41no—
482#11924007—41no—
483C22⋊Dic73—22no—
484C22⋊Dic73—22no—
485C22⋊Dic73—22no—
486C22⋊Dic73—22no—
487C22⋊Dic73—22no—
488C22⋊Dic73—22no—
489C22⋊Dic73—22no—
490C22⋊Dic73—41no—
491C22⋊Dic73—41no—
492C22⋊Dic73—41no—
493#11924005—22no—
494#11924005—22no—
495#11924005—22no—
496#11924005—22no—
497#11924005—22no—
498#11924005—22no—
499#11924005—22no—
500#11924005—22no—
501#11924005—22no—
502#11924005—22no—
503#11924005—22no—
504#11924005—22no—
505#11924005—22no—
506#11924005—22no—
507#11924005—41no—
508#11924005—41no—
509#11924005—41no—
510#11924005—41no—
511#11924005—41no—
512#11924005—41no—
513C4×Dic73—22no—
514C4×Dic73—22no—
515C4×Dic73—22no—
516C4×Dic73—41no—
517C4×Dic73—41no—
518C4×Dic73—41no—
519C4×Dic73—41no—
520C4×Dic73—41no—
521C4×Dic73—41no—
522C24×C73C2411yescharacteristic
523C24×C73C2411yescharacteristic
524C2×D4×C73—22no—
525C2×D4×C73—22no—
526C2×D4×C73—41no—
527C22×C4×C73—22no—
528C22×C4×C73—22no—
529C22×C4×C73—22no—
530C22×C4×C73—41no—
531C22×C4×C73—41no—
532C22×C4×C73—41no—
533C22×C4×C73C2411yescharacteristic
534C22×C4×C73C2411yescharacteristic
535C22×C4×C73C2411yescharacteristic
536C22×C4×C73C2411yescharacteristic
537C22×C4×C73C2411yescharacteristic
538C22×C4×C73C2411yescharacteristic
539C22×C4×C73C2411yescharacteristic
540C22×C4×C73C2411yescharacteristic
541C22×C4×C73C2411yescharacteristic
542C22×C4×C73C2411yescharacteristic
543C22×C4×C73C2411yescharacteristic
544C22×C4×C73C2411yescharacteristic
545C22×C4×C73C2411yescharacteristic
546C4⋊C4×C73—22no—
547C4⋊C4×C73—22no—
548C4⋊C4×C73—41no—
549C4⋊C4×C73—41no—
550C4⋊C4×C73—41no—
551C22⋊C4×C73—22no—
552C22⋊C4×C73—22no—
553C22⋊C4×C73—22no—
554C22⋊C4×C73—22no—
555C22⋊C4×C73—22no—
556C22⋊C4×C73—22no—
557C22⋊C4×C73—22no—
558C22⋊C4×C73—41no—
559C22⋊C4×C73—41no—
560C22⋊C4×C73—41no—
561C42×C73—22no—
562C42×C73—41no—
563C42×C73—41no—
564C23×C73—21no—
565C23×C73—21no—
566C23×C73—21no—
567C23×C73—21no—
568C23×C73—21no—
569C23×C73—21no—
570C23×C73—21no—
571C23×C73—21no—
572C23×C73—21no—
573C23×C73—21no—
574C23×C73—21no—
575C23×C73—21no—
576C23×C73C2×#4112yes—
577C23×C73C2×#4112yes—
578C23×C73C2511yescharacteristic
579C22×D73—21no—
580C22×D73—21no—
581C22×D73—21no—
582C22×D73—21no—
583C22×D73—21no—
584C22×D73—21no—
585C22×D73—21no—
586C22×D73—21no—
587C22×D73—21no—
588C22×D73—21no—
589C22×D73—21no—
590C22×D73—21no—
591C22×D73—28no—
592C22×D73—28no—
593C22×D73—28no—
594C22×D73—28no—
595C22×D73—28no—
596C22×D73—28no—
597C22×D73—44no—
598C22×D73—44no—
599C22×D73—44no—
600C22×D73—44no—
601C22×D73—44no—
602C22×D73—44no—
603C22×D73—44no—
604C22×D73—44no—
605C22×D73C2×#4112yes—
606C22×D73C2×#4112yes—
607C22×D73C2×#4112yes—
608C22×D73C2×#4112yes—
609C22×D73C2×#4112yes—
610C22×D73C2×#4112yes—
611C22×D73C2×#4112yes—
612C22×D73H(5,𝔽2)12yes—
613C22×D73H(5,𝔽2)12yes—
614D4×C73—44no—
615C2×C4×C73—21no—
616C2×C4×C73—21no—
617C2×C4×C73—21no—
618C2×C4×C73—21no—
619C2×C4×C73—21no—
620C2×C4×C73—21no—
621C2×C4×C73—21no—
622C2×C4×C73—21no—
623C2×C4×C73—21no—
624C2×C4×C73—21no—
625C2×C4×C73—21no—
626C2×C4×C73—21no—
627C2×C4×C73—21no—
628C2×C4×C73—21no—
629C2×C4×C73—21no—
630C2×C4×C73—21no—
631C2×C4×C73—21no—
632C2×C4×C73—21no—
633C2×C4×C73—21no—
634C2×C4×C73—21no—
635C2×C4×C73—21no—
636C2×C4×C73—21no—
637C2×C4×C73—21no—
638C2×C4×C73—21no—
639C2×C4×C73—21no—
640C2×C4×C73—21no—
641C2×C4×C73—21no—
642C2×C4×C73—21no—
643C2×C4×C73—21no—
644C2×C4×C73—21no—
645C2×C4×C73—21no—
646C2×C4×C73—21no—
647C2×C4×C73—21no—
648C2×C4×C73—21no—
649C2×C4×C73—21no—
650C2×C4×C73—21no—
651C2×C4×C73—44no—
652C2×C4×C73—44no—
653C2×C4×C73C2×#4112yes—
654C2×C4×C73C2×#4112yes—
655C2×C4×C73C2×#4112yes—
656C22⋊D73—44no—
657C22⋊D73—44no—
658C2×Dic73—21no—
659C2×Dic73—21no—
660C2×Dic73—21no—
661C2×Dic73—21no—
662C2×Dic73—21no—
663C2×Dic73—21no—
664C2×Dic73—21no—
665C2×Dic73—21no—
666C2×Dic73—21no—
667C2×Dic73—21no—
668C2×Dic73—21no—
669C2×Dic73—21no—
670C2×Dic73—21no—
671C2×Dic73—21no—
672C2×Dic73—21no—
673C2×Dic73—21no—
674C2×Dic73—21no—
675C2×Dic73—21no—
676C2×Dic73—21no—
677C2×Dic73—21no—
678C2×Dic73—21no—
679C2×Dic73—21no—
680C2×Dic73—21no—
681C2×Dic73—21no—
682C2×Dic73—21no—
683C2×Dic73—21no—
684C2×Dic73—21no—
685C2×Dic73—21no—
686C2×Dic73—21no—
687C2×Dic73—21no—
688C2×Dic73—21no—
689C2×Dic73—21no—
690C2×Dic73—21no—
691C2×Dic73—21no—
692C2×Dic73—21no—
693C2×Dic73—21no—
694C2×Dic73—44no—
695C2×Dic73—44no—
696C2×Dic73C2×#4112yes—
697C2×Dic73C2×#4112yes—
698C2×Dic73C2×#4112yes—
699D292—44no—
700C4×D73—28no—
701C4×D73—28no—
702C4×D73—28no—
703C4×D73—44no—
704C4×D73—44no—
705C4×D73—44no—
706C4×D73—44no—
707C4×D73—44no—
708C4×D73—44no—
709C4×D73—44no—
710C4×D73—44no—
711C4×D73—44no—
712C4×D73—44no—
713C4×D73—44no—
714C4×D73—44no—
715C4×D73—44no—
716C4×D73—44no—
717C22×C73—22no—
718C22×C73—22no—
719C22×C73—22no—
720C22×C73—22no—
721C22×C73—22no—
722C22×C73—22no—
723C22×C73—41no—
724C22×C73—41no—
725C22×C73—41no—
726C22×C73—41no—
727C22×C73—41no—
728C22×C73—41no—
729C22×C73—41no—
730C22×C73—41no—
731C22×C73C22×#4111yescharacteristic
732C22×C73C22×#4111yescharacteristic
733C22×C73C22×#4111yescharacteristic
734C22×C73C22×#4111yescharacteristic
735C22×C73C22×#4111yescharacteristic
736C22×C73C2×H(5,𝔽2)11yescharacteristic
737C22×C73C2×H(5,𝔽2)11yescharacteristic
738C2×D73—22no—
739C2×D73—22no—
740C2×D73—22no—
741C2×D73—22no—
742C2×D73—22no—
743C2×D73—22no—
744C2×D73—41no—
745C2×D73—41no—
746C2×D73—41no—
747C2×D73—41no—
748C2×D73—41no—
749C2×D73—41no—
750C2×D73—41no—
751C2×D73—41no—
752C2×D73—416no—
753C2×D73—416no—
754C2×D73#52914yes—
755C2×D73#52914yes—
756C2×D73#53814yes—
757C2×D73#55114yes—
758C2×D73#55114yes—
759C2×D73#55314yes—
760C2×D73#55314yes—
761C4×C73—22no—
762C4×C73—22no—
763C4×C73—22no—
764C4×C73—41no—
765C4×C73—41no—
766C4×C73—41no—
767C4×C73—41no—
768C4×C73—41no—
769C4×C73—41no—
770C4×C73—41no—
771C4×C73—41no—
772C4×C73—41no—
773C4×C73—41no—
774Dic73—22no—
775Dic73—22no—
776Dic73—22no—
777Dic73—41no—
778Dic73—41no—
779Dic73—41no—
780Dic73—41no—
781Dic73—41no—
782Dic73—41no—
783Dic73—41no—
784Dic73—41no—
785Dic73—41no—
786Dic73—41no—
787C2×#2576—731nomaximal, Sylow
788C2×C73—42no—
789C2×C73—42no—
790C2×C73C2×#52911yescharacteristic
791C2×C73C2×#52911yescharacteristic
792C2×C73C2×#53811yescharacteristic
793C2×C73C2×#55111yescharacteristic
794C2×C73C2×#55111yescharacteristic
795C2×C73C2×#55311yescharacteristic
796C2×C73C2×#55311yescharacteristic
797D73—42no—
798D73—42no—
799D73#257618yesdirect product factor
800#2576—731no—
801#2576—731no—
802#2576—731no—
803#2576—731no—
804#2576—731no—
805#2576—731no—
806#2576—731no—
807#2576—731no—
808#2576—731no—
809#2576—731no—
810#2576—731no—
811#2576—731no—
812#2576—731no—
813#2576—731no—
814#2576—731no—
815#2576D7311yescharacteristic, direct product factor
816C2×#401—731no—
817C2×#397—731no—
818C2×#396—731no—
819C2×#394—731no—
820C2×#388—731no—
821C2×#388—731no—
822C2×#387—731no—
823C2×#387—731no—
824C2×#386—731no—
825C2×#386—731no—
826C2×#385—731no—
827C2×#382—731no—
828C2×#381—731no—
829C2×C4×C22⋊C4—731no—
830C2×C4×C22⋊C4—731no—
831C73C2×#257611yescharacteristic, complemented, Sylow
832C23×D4—731no—
833C24×C4—731no—
834C24×C4—731no—
835C22×C4⋊C4—731no—
836C22×C4⋊C4—731no—
837C22×C4⋊C4—731no—
838C22×C4⋊C4—731no—
839C22×C4⋊C4—731no—
840C22×C22⋊C4—731no—
841C22×C22⋊C4—731no—
842C22×C22⋊C4—731no—
843C22×C22⋊C4—731no—
844C22×C22⋊C4—731no—
845C22×C22⋊C4—731no—
846C22×C22⋊C4—731no—
847C22×C22⋊C4—731no—
848C22×C22⋊C4—731no—
849C22×C22⋊C4—731no—
850C22×C42—731no—
851C22×C42—731no—
852C22×C42—731no—
853#401—731no—
854#401—731no—
855#401—731no—
856#401—731no—
857#401—731no—
858#401—731no—
859#401—731no—
860#401C2×D7311yescharacteristic, complemented
861#397—731no—
862#397—731no—
863#397—731no—
864#397—731no—
865#397—731no—
866#397—731no—
867#397—731no—
868#397C2×D7311yescharacteristic, complemented
869#396—731no—
870#396—731no—
871#396—731no—
872#396—731no—
873#396—731no—
874#396—731no—
875#396—731no—
876#396C2×D7311yescharacteristic, complemented
877#394—731no—
878#394—731no—
879#394—731no—
880#394—731no—
881#394—731no—
882#394—731no—
883#394—731no—
884#394C2×D7311yescharacteristic
885#388—731no—
886#388—731no—
887#388—731no—
888#388—731no—
889#388—731no—
890#388—731no—
891#388—731no—
892#388—731no—
893#388—731no—
894#388—731no—
895#388—731no—
896#388—731no—
897#388—731no—
898#388—731no—
899#388C2×D7311yescharacteristic, complemented
900#388C2×D7311yescharacteristic, complemented
901#387—731no—
902#387—731no—
903#387—731no—
904#387—731no—
905#387—731no—
906#387—731no—
907#387—731no—
908#387—731no—
909#387—731no—
910#387—731no—
911#387—731no—
912#387—731no—
913#387—731no—
914#387—731no—
915#387C2×D7311yescharacteristic, complemented
916#387C2×D7311yescharacteristic, complemented
917#386—731no—
918#386—731no—
919#386—731no—
920#386—731no—
921#386—731no—
922#386—731no—
923#386—731no—
924#386—731no—
925#386—731no—
926#386—731no—
927#386—731no—
928#386—731no—
929#386—731no—
930#386—731no—
931#386C2×D7311yescharacteristic
932#386C2×D7311yescharacteristic
933#385—731no—
934#385—731no—
935#385—731no—
936#385—731no—
937#385—731no—
938#385—731no—
939#385—731no—
940#385C2×D7311yescharacteristic, complemented
941#382—731no—
942#382—731no—
943#382—731no—
944#382—731no—
945#382—731no—
946#382—731no—
947#382—731no—
948#382C2×D7311yescharacteristic, complemented
949#381—731no—
950#381—731no—
951#381—731no—
952#381—731no—
953#381—731no—
954#381—731no—
955#381—731no—
956#381C2×D7311yescharacteristic, complemented
957C4×C22⋊C4—731no—
958C4×C22⋊C4—731no—
959C4×C22⋊C4—731no—
960C4×C22⋊C4—731no—
961C4×C22⋊C4—731no—
962C4×C22⋊C4—731no—
963C4×C22⋊C4—731no—
964C4×C22⋊C4—731no—
965C4×C22⋊C4—731no—
966C4×C22⋊C4—731no—
967C4×C22⋊C4—731no—
968C4×C22⋊C4—731no—
969C4×C22⋊C4—731no—
970C4×C22⋊C4—731no—
971C4×C22⋊C4C2×D7311yescharacteristic, complemented
972C4×C22⋊C4C2×D7311yescharacteristic, complemented
973C2×#95—731no—
974C2×#95—731no—
975C2×#95—731no—
976C2×#95—731no—
977C2×#95—731no—
978C2×#95—731no—
979C2×#95—731no—
980C2×#95—731no—
981C2×#95—731no—
982C2×#95—731no—
983C2×#95—731no—
984C2×#95—731no—
985C2×#95—731no—
986C2×#95—731no—
987C25—731no—
988C25—731no—
989C22×D4—2922no—
990C22×D4—731no—
991C22×D4—731no—
992C22×D4—731no—
993C22×D4—1464no—
994C22×D4—1464no—
995C22×D4C22×D7311yescharacteristic
996C23×C4—2922no—
997C23×C4—2922no—
998C23×C4—2922no—
999C23×C4—731no—
1000C23×C4—731no—
1001C23×C4—731no—
1002C23×C4—731no—
1003C23×C4—731no—
1004C23×C4—731no—
1005C23×C4—731no—
1006C23×C4—731no—
1007C23×C4—731no—
1008C23×C4—731no—
1009C23×C4—731no—
1010C23×C4—731no—
1011C23×C4—731no—
1012C23×C4—731no—
1013C23×C4—731no—
1014C23×C4—731no—
1015C23×C4—731no—
1016C23×C4—731no—
1017C23×C4—731no—
1018C23×C4—1464no—
1019C23×C4—1464no—
1020C23×C4—1464no—
1021C23×C4C22×D7311yescharacteristic
1022C23×C4C22×D7311yescharacteristic
1023C2×C4⋊C4—2922no—
1024C2×C4⋊C4—2922no—
1025C2×C4⋊C4—2922no—
1026C2×C4⋊C4—731no—
1027C2×C4⋊C4—731no—
1028C2×C4⋊C4—731no—
1029C2×C4⋊C4—731no—
1030C2×C4⋊C4—731no—
1031C2×C4⋊C4—731no—
1032C2×C4⋊C4—731no—
1033C2×C4⋊C4—731no—
1034C2×C4⋊C4—731no—
1035C2×C4⋊C4—731no—
1036C2×C4⋊C4—731no—
1037C2×C4⋊C4—731no—
1038C2×C4⋊C4—731no—
1039C2×C4⋊C4—731no—
1040C2×C4⋊C4—731no—
1041C2×C4⋊C4—1464no—
1042C2×C4⋊C4—1464no—
1043C2×C4⋊C4C22×D7311yescharacteristic
1044C2×C4⋊C4C22×D7311yescharacteristic
1045C2×C4⋊C4C22×D7311yescharacteristic
1046C2×C4⋊C4C22×D7311yescharacteristic
1047C2×C4⋊C4C22×D7311yescharacteristic
1048C2×C22⋊C4—2922no—
1049C2×C22⋊C4—2922no—
1050C2×C22⋊C4—2922no—
1051C2×C22⋊C4—731no—
1052C2×C22⋊C4—731no—
1053C2×C22⋊C4—731no—
1054C2×C22⋊C4—731no—
1055C2×C22⋊C4—731no—
1056C2×C22⋊C4—731no—
1057C2×C22⋊C4—731no—
1058C2×C22⋊C4—731no—
1059C2×C22⋊C4—731no—
1060C2×C22⋊C4—731no—
1061C2×C22⋊C4—731no—
1062C2×C22⋊C4—731no—
1063C2×C22⋊C4—731no—
1064C2×C22⋊C4—731no—
1065C2×C22⋊C4—731no—
1066C2×C22⋊C4—731no—
1067C2×C22⋊C4—731no—
1068C2×C22⋊C4—731no—
1069C2×C22⋊C4—731no—
1070C2×C22⋊C4—731no—
1071C2×C22⋊C4—731no—
1072C2×C22⋊C4—731no—
1073C2×C22⋊C4—731no—
1074C2×C22⋊C4—731no—
1075C2×C22⋊C4—731no—
1076C2×C22⋊C4—731no—
1077C2×C22⋊C4—731no—
1078C2×C22⋊C4—731no—
1079C2×C22⋊C4—731no—
1080C2×C22⋊C4—731no—
1081C2×C22⋊C4—1464no—
1082C2×C22⋊C4—1464no—
1083C2×C22⋊C4—1464no—
1084C2×C22⋊C4—1464no—
1085C2×C22⋊C4—1464no—
1086C2×C22⋊C4—1464no—
1087C2×C22⋊C4—1464no—
1088C2×C22⋊C4C22×D7311yescharacteristic
1089C2×C22⋊C4C22×D7311yescharacteristic
1090C2×C22⋊C4C22×D7311yescharacteristic
1091C2×C22⋊C4C22×D7311yescharacteristic
1092C2×C22⋊C4C22×D7311yescharacteristic
1093C2×C22⋊C4C22×D7311yescharacteristic
1094C2×C22⋊C4C22×D7311yescharacteristic
1095C2×C22⋊C4C22×D7311yescharacteristic
1096C2×C22⋊C4C22×D7311yescharacteristic
1097C2×C22⋊C4C22×D7311yescharacteristic
1098C2×C42—2922no—
1099C2×C42—2922no—
1100C2×C42—731no—
1101C2×C42—731no—
1102C2×C42—731no—
1103C2×C42—731no—
1104C2×C42—731no—
1105C2×C42—731no—
1106C2×C42—731no—
1107C2×C42—731no—
1108C2×C42—731no—
1109C2×C42—1464no—
1110C2×C42C22×D7311yescharacteristic
1111C2×C42C22×D7311yescharacteristic
1112C2×C42C22×D7311yescharacteristic
1113#95—731no—
1114#95—731no—
1115#95—731no—
1116#95—731no—
1117#95—731no—
1118#95—731no—
1119#95—731no—
1120#95—731no—
1121#95—731no—
1122#95—731no—
1123#95—731no—
1124#95—731no—
1125#95—731no—
1126#95—731no—
1127#95—731no—
1128#95—731no—
1129#95—731no—
1130#95—731no—
1131#95—731no—
1132#95—731no—
1133#95—731no—
1134#95—731no—
1135#95—731no—
1136#95—731no—
1137#95—731no—
1138#95—731no—
1139#95—731no—
1140#95—731no—
1141#95—731no—
1142#95—731no—
1143#95—731no—
1144#95—731no—
1145#95—731no—
1146#95—731no—
1147#95—731no—
1148#95—731no—
1149#95—731no—
1150#95—731no—
1151#95—731no—
1152#95—731no—
1153#95—731no—
1154#95—731no—
1155#95C22×D7311yescharacteristic
1156#95C22×D7311yescharacteristic
1157#95C22×D7311yescharacteristic
1158#95C22×D7311yescharacteristic
1159#95C22×D7311yescharacteristic
1160#95C22×D7311yescharacteristic
1161#95C22×D7311yescharacteristic
1162#95C22×D7311yescharacteristic
1163#95C22×D7311yescharacteristic
1164#95C22×D7311yescharacteristic
1165#95C22×D7311yescharacteristic
1166#95C22×D7311yescharacteristic
1167#95C22×D7311yescharacteristic
1168#95C22×D7311yescharacteristic
1169C24—731no—
1170C24—734no—
1171C24—734no—
1172C24—731no—
1173C24—731no—
1174C24—1462no—
1175C24—1462no—
1176C24—1462no—
1177C24—1462no—
1178C24—1462no—
1179C24—1462no—
1180C24—1462no—
1181C24—1462no—
1182C24—1462no—
1183C24—1462no—
1184C24—1462no—
1185C24—1462no—
1186C24C23×D7311yescharacteristic
1187C24C23×D7311yescharacteristic
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—41no—
1191C2×D4—2921no—
1192C2×D4—29216no—
1193C2×D4—2921no—
1194C2×D4—2921no—
1195C2×D4—1462no—
1196C2×D4—1462no—
1197C2×D4—1462no—
1198C2×D4—1462no—
1199C2×D4—1462no—
1200C2×D4—1462no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—2921no—
1208C22×C4—2921no—
1209C22×C4—2921no—
1210C22×C4—2921no—
1211C22×C4—2921no—
1212C22×C4—2921no—
1213C22×C4—29216no—
1214C22×C4—29216no—
1215C22×C4—2921no—
1216C22×C4—2921no—
1217C22×C4—2921no—
1218C22×C4—731no—
1219C22×C4—731no—
1220C22×C4—731no—
1221C22×C4—734no—
1222C22×C4—734no—
1223C22×C4—734no—
1224C22×C4—731no—
1225C22×C4—731no—
1226C22×C4—731no—
1227C22×C4—731no—
1228C22×C4—731no—
1229C22×C4—731no—
1230C22×C4—731no—
1231C22×C4—731no—
1232C22×C4—731no—
1233C22×C4—731no—
1234C22×C4—1462no—
1235C22×C4—1462no—
1236C22×C4—1462no—
1237C22×C4—1462no—
1238C22×C4—1462no—
1239C22×C4—1462no—
1240C22×C4—1462no—
1241C22×C4—1462no—
1242C22×C4—1462no—
1243C22×C4—1462no—
1244C22×C4—1462no—
1245C22×C4—1462no—
1246C22×C4—1462no—
1247C22×C4—1462no—
1248C22×C4—1462no—
1249C22×C4—1462no—
1250C22×C4—1462no—
1251C22×C4—1462no—
1252C22×C4—1462no—
1253C22×C4—1462no—
1254C22×C4—1462no—
1255C22×C4—1462no—
1256C22×C4—1462no—
1257C22×C4—1462no—
1258C22×C4—1462no—
1259C22×C4—1462no—
1260C22×C4—1462no—
1261C22×C4—1462no—
1262C22×C4—1462no—
1263C22×C4—1462no—
1264C22×C4—1462no—
1265C22×C4—1462no—
1266C22×C4—1462no—
1267C22×C4—1462no—
1268C22×C4—1462no—
1269C22×C4—1462no—
1270C22×C4—1462no—
1271C22×C4—1462no—
1272C22×C4—1462no—
1273C22×C4—1462no—
1274C22×C4—1462no—
1275C22×C4—1462no—
1276C22×C4—1462no—
1277C22×C4—1462no—
1278C22×C4—1462no—
1279C22×C4C23×D7311yescharacteristic
1280C22×C4C23×D7311yescharacteristic
1281C22×C4C23×D7311yescharacteristic
1282C22×C4C23×D7311yescharacteristic
1283C22×C4C23×D7311yescharacteristic
1284C22×C4C23×D7311yescharacteristic
1285C22×C4C23×D7311yescharacteristic
1286C22×C4C23×D7311yescharacteristic
1287C22×C4C23×D7311yescharacteristic
1288C22×C4C23×D7311yescharacteristic
1289C22×C4C23×D7311yescharacteristic
1290C22×C4C23×D7311yescharacteristic
1291C22×C4C23×D7311yescharacteristic
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—2921no—
1298C4⋊C4—2921no—
1299C4⋊C4—2921no—
1300C4⋊C4—2921no—
1301C4⋊C4—2921no—
1302C4⋊C4—2921no—
1303C4⋊C4—2921no—
1304C4⋊C4—2921no—
1305C4⋊C4—2921no—
1306C4⋊C4—1462no—
1307C4⋊C4—1462no—
1308C4⋊C4—1462no—
1309C4⋊C4—1462no—
1310C4⋊C4—1462no—
1311C4⋊C4—1462no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—2921no—
1323C22⋊C4—2921no—
1324C22⋊C4—2921no—
1325C22⋊C4—2921no—
1326C22⋊C4—2921no—
1327C22⋊C4—2921no—
1328C22⋊C4—2921no—
1329C22⋊C4—2921no—
1330C22⋊C4—2921no—
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⋊C4—1462no—
1349C22⋊C4—1462no—
1350C22⋊C4—1462no—
1351C22⋊C4—1462no—
1352C42—22no—
1353C42—41no—
1354C42—41no—
1355C42—2921no—
1356C42—2921no—
1357C42—2921no—
1358C42—2921no—
1359C42—2921no—
1360C42—2921no—
1361C42—1462no—
1362C42—1462no—
1363C42—1462no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—2924no—
1377C23—2924no—
1378C23—2924no—
1379C23—2924no—
1380C23—2924no—
1381C23—2924no—
1382C23—2924no—
1383C23—2924no—
1384C23—732no—
1385C23—732no—
1386C23—732no—
1387C23—732no—
1388C23—732no—
1389C23—732no—
1390C23—732no—
1391C23—732no—
1392C23—732no—
1393C23—1468no—
1394C23—1468no—
1395C23—1468no—
1396C23—1468no—
1397C23—1468no—
1398C23—1468no—
1399C23—1461no—
1400C23—1461no—
1401C23—1461no—
1402C23—1461no—
1403C23—1461no—
1404C23—1461no—
1405C23—1461no—
1406C23—1461no—
1407C23—1461no—
1408C23—1461no—
1409C23—1461no—
1410C23—1461no—
1411C23#41×D7312yes—
1412C23#41×D7312yes—
1413C23C24×D7311yescharacteristic
1414D4—44no—
1415D4—2924no—
1416D4—2924no—
1417D4—2924no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—44no—
1455C2×C4—44no—
1456C2×C4—2924no—
1457C2×C4—2924no—
1458C2×C4—2924no—
1459C2×C4—2924no—
1460C2×C4—2924no—
1461C2×C4—2924no—
1462C2×C4—2924no—
1463C2×C4—2924no—
1464C2×C4—2924no—
1465C2×C4—2924no—
1466C2×C4—2924no—
1467C2×C4—2924no—
1468C2×C4—2924no—
1469C2×C4—2924no—
1470C2×C4—2924no—
1471C2×C4—2924no—
1472C2×C4—732no—
1473C2×C4—732no—
1474C2×C4—732no—
1475C2×C4—1468no—
1476C2×C4—1468no—
1477C2×C4—1468no—
1478C2×C4—1461no—
1479C2×C4—1461no—
1480C2×C4—1461no—
1481C2×C4—1461no—
1482C2×C4—1461no—
1483C2×C4—1461no—
1484C2×C4—1461no—
1485C2×C4—1461no—
1486C2×C4—1461no—
1487C2×C4—1461no—
1488C2×C4—1461no—
1489C2×C4—1461no—
1490C2×C4—1461no—
1491C2×C4—1461no—
1492C2×C4—1461no—
1493C2×C4—1461no—
1494C2×C4—1461no—
1495C2×C4—1461no—
1496C2×C4—1461no—
1497C2×C4—1461no—
1498C2×C4—1461no—
1499C2×C4—1461no—
1500C2×C4—1461no—
1501C2×C4—1461no—
1502C2×C4—1461no—
1503C2×C4—1461no—
1504C2×C4—1461no—
1505C2×C4—1461no—
1506C2×C4—1461no—
1507C2×C4—1461no—
1508C2×C4—1461no—
1509C2×C4—1461no—
1510C2×C4—1461no—
1511C2×C4—1461no—
1512C2×C4—1461no—
1513C2×C4—1461no—
1514C2×C4#41×D7312yes—
1515C2×C4#41×D7312yes—
1516C2×C4#41×D7312yes—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—29216no—
1532C22—29216no—
1533C22—2921no—
1534C22—2921no—
1535C22—2921no—
1536C22—2921no—
1537C22—2921no—
1538C22—2921no—
1539C22—2921no—
1540C22—2921no—
1541C22—734no—
1542C22—734no—
1543C22—734no—
1544C22—734no—
1545C22—734no—
1546C22—734no—
1547C22—734no—
1548C22—1462no—
1549C22—1462no—
1550C22—1462no—
1551C22—1462no—
1552C22—1462no—
1553C22—1462no—
1554C22C2×#41×D7311yescharacteristic
1555C22C2×#41×D7311yescharacteristic
1556C22C2×#41×D7311yescharacteristic
1557C22C2×#41×D7311yescharacteristic
1558C22C2×#41×D7311yescharacteristic
1559C22H(5,𝔽2)×D7311yescharacteristic
1560C22H(5,𝔽2)×D7311yescharacteristic
1561C4—22no—
1562C4—22no—
1563C4—22no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—2921no—
1575C4—2921no—
1576C4—2921no—
1577C4—2921no—
1578C4—2921no—
1579C4—2921no—
1580C4—2921no—
1581C4—2921no—
1582C4—2921no—
1583C4—2921no—
1584C4—1462no—
1585C4—1462no—
1586C4—1462no—
1587C2—42no—
1588C2—42no—
1589C2—2922no—
1590C2—2922no—
1591C2—738no—
1592C2#529×D7311yescharacteristic
1593C2#529×D7311yescharacteristic
1594C2#538×D7311yescharacteristic
1595C2#551×D7311yescharacteristic
1596C2#551×D7311yescharacteristic
1597C2#553×D7311yescharacteristic
1598C2#553×D7311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2576C2
prime radicalC22×D4×D73C22
hypercenter#2576D73
hypocenterC73C2×#2576
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2576

Complements

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

NH ≅ G/Ntype
1. #22615242C2semidirect
2. #22615241C2semidirect
3. #22615240C2semidirect
4. #22615239C2semidirect
5. #22615238C2semidirect
6. #22615237C2semidirect
7. #22615236C2semidirect
8. #22615235C2semidirect
9. #22615234C2semidirect
10. #22615233C2semidirect
11. #22615232C2semidirect
12. #22615231C2semidirect
13. #22615230C2semidirect
14. #22615229C2semidirect
15. #22615228C2semidirect
16. #401×D73C2semidirect
17. #397×D73C2semidirect
18. #396×D73C2semidirect
20. #388×D73C2semidirect
21. #388×D73C2semidirect
22. #387×D73C2semidirect
23. #387×D73C2semidirect
26. #385×D73C2semidirect
27. #382×D73C2semidirect
28. #381×D73C2semidirect
29. C4×C22⋊C4×D73C2semidirect
30. C4×C22⋊C4×D73C2semidirect
31. C73×#2576C2semidirect
53. C73⋊#401C22semidirect
54. C73⋊#401C22semidirect
55. C73⋊#401C22semidirect
56. C73⋊#401C22semidirect
57. C73⋊#401C22semidirect
58. C73⋊#401C22semidirect
59. C73⋊#401C22semidirect
60. #17988516C22semidirect
61. #17988516C22semidirect
62. #17988515C22semidirect
63. #17988515C22semidirect
64. #17988514C22semidirect
65. #17988513C22semidirect
66. #17988512C22semidirect
67. #17988511C22semidirect
68. #17988510C22semidirect
69. #17988510C22semidirect
70. #17988510C22semidirect
71. #17988509C22semidirect
72. #17988509C22semidirect
73. #17988509C22semidirect
81. #17988481C22semidirect
82. #17988481C22semidirect
83. #17988480C22semidirect
84. #17988480C22semidirect
85. #17988479C22semidirect
86. #17988479C22semidirect
87. #17988478C22semidirect
88. #17988478C22semidirect
89. #17988477C22semidirect
90. #17988477C22semidirect
91. #17988476C22semidirect
92. #17988476C22semidirect
93. #17988475C22semidirect
94. #17988475C22semidirect
95. #17988474C22semidirect
96. #17988474C22semidirect
97. #17988473C22semidirect
98. #17988473C22semidirect
99. #17988472C22semidirect
100. #17988472C22semidirect
101. #17988471C22semidirect
102. #17988471C22semidirect
103. #17988470C22semidirect
104. #17988470C22semidirect
105. #17988469C22semidirect
106. #17988469C22semidirect
107. #17988468C22semidirect
108. #17988468C22semidirect
123. #17988462C22semidirect
124. #17988461C22semidirect
125. #17988461C22semidirect
126. #17988460C22semidirect
127. #17988459C22semidirect
128. #17988458C22semidirect
129. #17988458C22semidirect
130. #17988453C22semidirect
131. #17988452C22semidirect
132. #17988452C22semidirect
133. #17988451C22semidirect
134. #17988451C22semidirect
135. #17988451C22semidirect
136. #17988451C22semidirect
137. #17988450C22semidirect
138. #17988449C22semidirect
139. #17988449C22semidirect
140. #17988449C22semidirect
141. #17988449C22semidirect
142. #17988448C22semidirect
143. #17988448C22semidirect
144. C22⋊C4×Dic73C22semidirect
145. C22⋊C4×Dic73C22semidirect
146. C22⋊C4×Dic73C22semidirect
147. C22⋊C4×Dic73C22semidirect
148. C4×#11924005C22semidirect
149. C4×#11924005C22semidirect
150. C4×#11924005C22semidirect
151. C4×#11924005C22semidirect
152. C4×C22⋊Dic73C22semidirect
153. C4×C22⋊Dic73C22semidirect
154. #17988434C22semidirect
155. #17988434C22semidirect
156. #17988434C22semidirect
157. #17988434C22semidirect
172. #401×C73C22semidirect
173. #397×C73C22semidirect
174. #396×C73C22semidirect
176. #388×C73C22semidirect
177. #388×C73C22semidirect
178. #387×C73C22semidirect
179. #387×C73C22semidirect
182. #385×C73C22semidirect
183. #382×C73C22semidirect
184. #381×C73C22semidirect
185. C4×C22⋊C4×C73C22semidirect
186. C4×C22⋊C4×C73C22semidirect
799. D73#2576direct (N × H)
815. #2576D73direct (N × H)
831. C73C2×#2576semidirect
860. #401C2×D73semidirect
868. #397C2×D73semidirect
876. #396C2×D73semidirect
899. #388C2×D73semidirect
900. #388C2×D73semidirect
915. #387C2×D73semidirect
916. #387C2×D73semidirect
940. #385C2×D73semidirect
948. #382C2×D73semidirect
956. #381C2×D73semidirect
971. C4×C22⋊C4C2×D73semidirect
972. C4×C22⋊C4C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226152422
#226152412
#226152402
#226152392
#226152382
#226152372
#226152362
#226152352
#226152342
#226152332
#226152322
#226152312
#226152302
#226152292
#226152282
#401×D732
#397×D732
#396×D732
#394×D732
#388×D732
#387×D732
#386×D732
#385×D732
#382×D732
#381×D732
C4×C22⋊C4×D732
C73×#25762
C2×#257673