Finite Group Databasebeta

← #2653×D73 #33252471

Subgroups — #2653×D73 #33252471

Order 18688.

2394 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#22616001C211yesmaximal, characteristic, complemented
2#22616000C211yesmaximal, characteristic, complemented
3#22615999C211yesmaximal, characteristic, complemented
4#22615998C211yesmaximal, characteristic, complemented
5#22615997C211yesmaximal, characteristic, complemented
6#22615996C211yesmaximal, characteristic, complemented
7#22615995C211yesmaximal, characteristic, complemented
8#22615994C211yesmaximal, characteristic, complemented
9#22615993C211yesmaximal, characteristic, complemented
10#22615992C211yesmaximal, characteristic, complemented
11#22615991C211yesmaximal, characteristic, complemented
12#22615990C211yesmaximal, characteristic, complemented
13#22615989C211yesmaximal, characteristic, complemented
14#22615988C211yesmaximal, characteristic, complemented
15#22615987C211yesmaximal, characteristic, complemented
16#401×D73C211yesmaximal, characteristic, complemented
17#398×D73C211yesmaximal, characteristic, complemented
18#397×D73C211yesmaximal, characteristic, complemented
19#397×D73C211yesmaximal, characteristic, complemented
20#394×D73C211yesmaximal, characteristic
21#394×D73C211yesmaximal, characteristic
22#393×D73C211yesmaximal, characteristic, complemented
23#393×D73C211yesmaximal, characteristic, complemented
24#391×D73C211yesmaximal, characteristic, complemented
25#388×D73C211yesmaximal, characteristic, complemented
26#388×D73C211yesmaximal, characteristic, complemented
27#387×D73C211yesmaximal, characteristic, complemented
28#386×D73C211yesmaximal, characteristic
29#385×D73C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D73C211yesmaximal, characteristic, complemented
31C73×#2653C211yesmaximal, characteristic, complemented
32C22×Q8×D73C2211yescharacteristic
33C22×D4×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×C22⋊C4×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#17988521C2211yescharacteristic, complemented
61#17988521C2211yescharacteristic, complemented
62#17988520C2211yescharacteristic, complemented
63#17988520C2211yescharacteristic, complemented
64#17988519C2211yescharacteristic, complemented
65#17988518C2211yescharacteristic, complemented
66#17988517C2211yescharacteristic, complemented
67#17988516C2211yescharacteristic, complemented
68#17988516C2211yescharacteristic, complemented
69#17988516C2211yescharacteristic, complemented
70#17988516C2211yescharacteristic, complemented
71#17988515C2211yescharacteristic, complemented
72#17988515C2211yescharacteristic, complemented
73#17988515C2211yescharacteristic, complemented
74#17988515C2211yescharacteristic, complemented
75#17988514C2211yescharacteristic, complemented
76#17988514C2211yescharacteristic, complemented
77#17988513C2211yescharacteristic, complemented
78#17988513C2211yescharacteristic, complemented
79#17988512C2211yescharacteristic, complemented
80#17988512C2211yescharacteristic, complemented
81#17988505C2211yescharacteristic
82#17988505C2211yescharacteristic
83#17988504C2211yescharacteristic
84#17988504C2211yescharacteristic
85#17988503C2211yescharacteristic
86#17988503C2211yescharacteristic
87#17988503C2211yescharacteristic
88#17988503C2211yescharacteristic
89#17988502C2211yescharacteristic
90#17988502C2211yescharacteristic
91#17988502C2211yescharacteristic
92#17988502C2211yescharacteristic
93#17988501C2211yescharacteristic
94#17988501C2211yescharacteristic
95#17988500C2211yescharacteristic, complemented
96#17988500C2211yescharacteristic, complemented
97#17988500C2211yescharacteristic, complemented
98#17988500C2211yescharacteristic, complemented
99#17988500C2211yescharacteristic, complemented
100#17988500C2211yescharacteristic, complemented
101#17988499C2211yescharacteristic, complemented
102#17988499C2211yescharacteristic, complemented
103#17988499C2211yescharacteristic, complemented
104#17988499C2211yescharacteristic, complemented
105#17988499C2211yescharacteristic, complemented
106#17988499C2211yescharacteristic, complemented
107#17988498C2211yescharacteristic, complemented
108#17988498C2211yescharacteristic, complemented
109#17988494C2211yescharacteristic, complemented
110#17988493C2211yescharacteristic, complemented
111#17988492C2211yescharacteristic, complemented
112#17988491C2211yescharacteristic, complemented
113#17988491C2211yescharacteristic, complemented
114#17988491C2211yescharacteristic, complemented
115#17988491C2211yescharacteristic, complemented
116#17988481C2211yescharacteristic, complemented
117#17988481C2211yescharacteristic, complemented
118#17988480C2211yescharacteristic, complemented
119#17988480C2211yescharacteristic, complemented
120#17988479C2211yescharacteristic, complemented
121#17988479C2211yescharacteristic, complemented
122#17988478C2211yescharacteristic, complemented
123#17988478C2211yescharacteristic, complemented
124#17988477C2211yescharacteristic, complemented
125#17988477C2211yescharacteristic, complemented
126#17988476C2211yescharacteristic, complemented
127#17988476C2211yescharacteristic, complemented
128#17988475C2211yescharacteristic, complemented
129#17988475C2211yescharacteristic, complemented
130#17988474C2211yescharacteristic, complemented
131#17988473C2211yescharacteristic, complemented
132#17988472C2211yescharacteristic, complemented
133#17988471C2211yescharacteristic, complemented
134#17988470C2211yescharacteristic, complemented
135#17988469C2211yescharacteristic, complemented
136#17988468C2211yescharacteristic, complemented
137#17988467C2211yescharacteristic
138#17988466C2211yescharacteristic
139#17988465C2211yescharacteristic
140#17988465C2211yescharacteristic
141#17988464C2211yescharacteristic
142#17988463C2211yescharacteristic
143#17988463C2211yescharacteristic
144#17988462C2211yescharacteristic, complemented
145#17988461C2211yescharacteristic, complemented
146#17988461C2211yescharacteristic, complemented
147#17988460C2211yescharacteristic, complemented
148#17988459C2211yescharacteristic, complemented
149#17988458C2211yescharacteristic, complemented
150#17988458C2211yescharacteristic, complemented
151C22⋊C4×Dic73C2211yescharacteristic, complemented
152C22⋊C4×Dic73C2211yescharacteristic, complemented
153C4×#11924005C2211yescharacteristic, complemented
154C4×#11924005C2211yescharacteristic, complemented
155C4×C22⋊Dic73C2211yescharacteristic, 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#398×C73C2211yescharacteristic, complemented
174#397×C73C2211yescharacteristic, complemented
175#397×C73C2211yescharacteristic, complemented
176#394×C73C2211yescharacteristic
177#394×C73C2211yescharacteristic
178#393×C73C2211yescharacteristic, complemented
179#393×C73C2211yescharacteristic, complemented
180#391×C73C2211yescharacteristic, complemented
181#388×C73C2211yescharacteristic, complemented
182#388×C73C2211yescharacteristic, complemented
183#387×C73C2211yescharacteristic, complemented
184#386×C73C2211yescharacteristic
185#385×C73C2211yescharacteristic, complemented
186C4×C22⋊C4×C73C2211yescharacteristic, complemented
187C24×D73C2311yescharacteristic
188C24×D73C2311yescharacteristic
189C22×Dic146C2311yescharacteristic
190C22×Dic146C2311yescharacteristic
191C22×Dic146C2311yescharacteristic
192C2×Q8×D73—24no—
193C2×Q8×D73—42no—
194C2×Q8×D73—42no—
195C22×D292C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C2×D4×D73—24no—
199C2×D4×D73—42no—
200C2×D4×D73—42no—
201C23×Dic73C2311yescharacteristic
202C22×C4×D73—24no—
203C22×C4×D73—42no—
204C22×C4×D73—42no—
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—42no—
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×C22⋊Dic73C2311yescharacteristic
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
270C2×#11924005C2311yescharacteristic
271C2×#11924005C2311yescharacteristic
272C2×#11924005C2311yescharacteristic
273C22⋊C4×D73—24no—
274C22⋊C4×D73—24no—
275C22⋊C4×D73—24no—
276C22⋊C4×D73—24no—
277C22⋊C4×D73—24no—
278C22⋊C4×D73—42no—
279C22⋊C4×D73—42no—
280C22⋊C4×D73—42no—
281C22⋊C4×D73—42no—
282C22⋊C4×D73—42no—
283C22⋊C4×D73—42no—
284C2×C4×Dic73C2311yescharacteristic
285C2×C4×Dic73C2311yescharacteristic
286C2×C4×Dic73C2311yescharacteristic
287C2×C4×Dic73C2311yescharacteristic
288C2×C4×Dic73C2311yescharacteristic
289C2×C4×Dic73C2311yescharacteristic
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×Q8×C73C2311yescharacteristic
335C22×D4×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×C22⋊C4×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—22no—
382C23×D73#4114yes—
383C23×D73C2411yescharacteristic
384C23×D73C2411yescharacteristic
385C23×D73C2411yescharacteristic
386C2×Dic146—22no—
387C2×Dic146—22no—
388C2×Dic146—22no—
389C2×Dic146—41no—
390C2×Dic146—41no—
391C2×Dic146—41no—
392C2×Dic146—41no—
393C2×Dic146—41no—
394C2×Dic146—41no—
395Q8×D73—416no—
396C2×D292—22no—
397C2×D292—41no—
398C2×D292—41no—
399C2×C22⋊D73—22no—
400C2×C22⋊D73—22no—
401C2×C22⋊D73—41no—
402C2×C22⋊D73—41no—
403C2×C22⋊D73—41no—
404C2×C22⋊D73—41no—
405D4×D73—416no—
406C22×Dic73—22no—
407C22×Dic73—41no—
408C22×Dic73—41no—
409C22×Dic73C2411yescharacteristic
410C22×Dic73C2411yescharacteristic
411C22×Dic73C2411yescharacteristic
412C22×Dic73C2411yescharacteristic
413C22×Dic73C2411yescharacteristic
414C22×Dic73C2411yescharacteristic
415C22×Dic73C2411yescharacteristic
416C22×Dic73C2411yescharacteristic
417C22×Dic73C2411yescharacteristic
418C22×Dic73C2411yescharacteristic
419C22×Dic73C2411yescharacteristic
420C22×Dic73C2411yescharacteristic
421C22×Dic73C2411yescharacteristic
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—22no—
458C2×C4×D73—22no—
459C2×C4×D73—22no—
460C2×C4×D73—22no—
461C2×C4×D73—416no—
462C2×C4×D73—41no—
463C2×C4×D73—41no—
464C2×C4×D73—41no—
465C2×C4×D73—41no—
466C2×C4×D73#4114yes—
467C2×C4×D73#4114yes—
468C4⋊Dic73—22no—
469C4⋊Dic73—41no—
470C4⋊Dic73—41no—
471C4⋊Dic73—41no—
472C4⋊Dic73—41no—
473#11924007—22no—
474#11924007—22no—
475#11924007—41no—
476#11924007—41no—
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—41no—
489C22⋊Dic73—41no—
490C22⋊Dic73—41no—
491C22⋊Dic73—41no—
492C22⋊Dic73—41no—
493C22⋊Dic73—41no—
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—41no—
505#11924005—41no—
506#11924005—41no—
507#11924005—41no—
508#11924005—41no—
509#11924005—41no—
510#11924005—41no—
511#11924005—41no—
512#11924005—41no—
513#11924005—41no—
514#11924005—41no—
515#11924005—41no—
516C4×Dic73—41no—
517C4×Dic73—41no—
518C4×Dic73—41no—
519C4×Dic73—41no—
520C4×Dic73—41no—
521C4×Dic73—41no—
522C24×C73C2411yescharacteristic
523C24×C73C2411yescharacteristic
524C2×Q8×C73—22no—
525C2×Q8×C73—41no—
526C2×Q8×C73—41no—
527C2×D4×C73—22no—
528C2×D4×C73—41no—
529C2×D4×C73—41no—
530C22×C4×C73—22no—
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—41no—
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—41no—
557C22⋊C4×C73—41no—
558C22⋊C4×C73—41no—
559C22⋊C4×C73—41no—
560C22⋊C4×C73—41no—
561C22⋊C4×C73—41no—
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×C73—21no—
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—28no—
586C22×D73—28no—
587C22×D73—28no—
588C22×D73—21no—
589C22×D73—21no—
590C22×D73—21no—
591C22×D73—21no—
592C22×D73—21no—
593C22×D73—21no—
594C22×D73—21no—
595C22×D73—44no—
596C22×D73—44no—
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×D73—44no—
606C22×D73C2×#4112yes—
607C22×D73C2×#4112yes—
608C22×D73C2×#4112yes—
609C22×D73C2×#4112yes—
610C22×D73H(5,𝔽2)12yes—
611C22×D73H(5,𝔽2)12yes—
612C22×D73H(5,𝔽2)12yes—
613C22×D732−1+412yes—
614Q8×C73—44no—
615D4×C73—44no—
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—21no—
652C2×C4×C73—21no—
653C2×C4×C73—44no—
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—21no—
695C2×Dic73—44no—
696C2×Dic73C2×#4112yes—
697C2×Dic73C2×#4112yes—
698D292—44no—
699C4×D73—28no—
700C4×D73—28no—
701C4×D73—44no—
702C4×D73—44no—
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—
714Dic146—44no—
715Dic146—44no—
716Dic146—44no—
717C22×C73—22no—
718C22×C73—22no—
719C22×C73—22no—
720C22×C73—41no—
721C22×C73—41no—
722C22×C73—41no—
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×C73C2×H(5,𝔽2)11yescharacteristic
735C22×C73C2×H(5,𝔽2)11yescharacteristic
736C22×C73C2×H(5,𝔽2)11yescharacteristic
737C22×C73C2×2−1+411yescharacteristic
738C2×D73—22no—
739C2×D73—22no—
740C2×D73—22no—
741C2×D73—41no—
742C2×D73—41no—
743C2×D73—41no—
744C2×D73—41no—
745C2×D73—416no—
746C2×D73—41no—
747C2×D73—41no—
748C2×D73—41no—
749C2×D73—41no—
750C2×D73—41no—
751C2×D73—41no—
752C2×D73—41no—
753C2×D73—88no—
754C2×D73#52914yes—
755C2×D73#53814yes—
756C2×D73#53814yes—
757C2×D73#53814yes—
758C2×D73#53914yes—
759C2×D73#54214yes—
760C2×D73#54214yes—
761C4×C73—22no—
762C4×C73—22no—
763C4×C73—41no—
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—41no—
777Dic73—41no—
778Dic73—41no—
779Dic73—41no—
780Dic73—41no—
781Dic73—41no—
782Dic73—41no—
783Dic73—41no—
784Dic73—41no—
785Dic73—41no—
786Dic73—41no—
787C2×#2653—731nomaximal, Sylow
788C2×C73—42no—
789C2×C73—81no—
790C2×C73C2×#52911yescharacteristic
791C2×C73C2×#53811yescharacteristic
792C2×C73C2×#53811yescharacteristic
793C2×C73C2×#53811yescharacteristic
794C2×C73C2×#53911yescharacteristic
795C2×C73C2×#54211yescharacteristic
796C2×C73C2×#54211yescharacteristic
797D73—42no—
798D73—81no—
799D73#265318yesdirect product factor
800#2653—731no—
801#2653—731no—
802#2653—731no—
803#2653—731no—
804#2653—731no—
805#2653—731no—
806#2653—731no—
807#2653—731no—
808#2653—731no—
809#2653—731no—
810#2653—731no—
811#2653—731no—
812#2653—731no—
813#2653—731no—
814#2653—731no—
815#2653D7311yescharacteristic, direct product factor
816C2×#401—731no—
817C2×#398—731no—
818C2×#397—731no—
819C2×#397—731no—
820C2×#394—731no—
821C2×#394—731no—
822C2×#393—731no—
823C2×#393—731no—
824C2×#391—731no—
825C2×#388—731no—
826C2×#388—731no—
827C2×#387—731no—
828C2×#386—731no—
829C2×#385—731no—
830C2×C4×C22⋊C4—731no—
831C73C2×#265311yescharacteristic, complemented, Sylow
832C23×Q8—731no—
833C23×D4—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×C22⋊C4—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#398—731no—
862#398—731no—
863#398—731no—
864#398—731no—
865#398—731no—
866#398—731no—
867#398—731no—
868#398C2×D7311yescharacteristic, complemented
869#397—731no—
870#397—731no—
871#397—731no—
872#397—731no—
873#397—731no—
874#397—731no—
875#397—731no—
876#397—731no—
877#397—731no—
878#397—731no—
879#397—731no—
880#397—731no—
881#397—731no—
882#397—731no—
883#397C2×D7311yescharacteristic, complemented
884#397C2×D7311yescharacteristic, complemented
885#394—731no—
886#394—731no—
887#394—731no—
888#394—731no—
889#394—731no—
890#394—731no—
891#394—731no—
892#394—731no—
893#394—731no—
894#394—731no—
895#394—731no—
896#394—731no—
897#394—731no—
898#394—731no—
899#394C2×D7311yescharacteristic
900#394C2×D7311yescharacteristic
901#393—731no—
902#393—731no—
903#393—731no—
904#393—731no—
905#393—731no—
906#393—731no—
907#393—731no—
908#393—731no—
909#393—731no—
910#393—731no—
911#393—731no—
912#393—731no—
913#393—731no—
914#393—731no—
915#393C2×D7311yescharacteristic, complemented
916#393C2×D7311yescharacteristic, complemented
917#391—731no—
918#391—731no—
919#391—731no—
920#391—731no—
921#391—731no—
922#391—731no—
923#391—731no—
924#391C2×D7311yescharacteristic, complemented
925#388—731no—
926#388—731no—
927#388—731no—
928#388—731no—
929#388—731no—
930#388—731no—
931#388—731no—
932#388—731no—
933#388—731no—
934#388—731no—
935#388—731no—
936#388—731no—
937#388—731no—
938#388—731no—
939#388C2×D7311yescharacteristic, complemented
940#388C2×D7311yescharacteristic, complemented
941#387—731no—
942#387—731no—
943#387—731no—
944#387—731no—
945#387—731no—
946#387—731no—
947#387—731no—
948#387C2×D7311yescharacteristic, complemented
949#386—731no—
950#386—731no—
951#386—731no—
952#386—731no—
953#386—731no—
954#386—731no—
955#386—731no—
956#386C2×D7311yescharacteristic
957#385—731no—
958#385—731no—
959#385—731no—
960#385—731no—
961#385—731no—
962#385—731no—
963#385—731no—
964#385C2×D7311yescharacteristic, complemented
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⋊C4—731no—
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×Q8—2922no—
990C22×Q8—2922no—
991C22×Q8—731no—
992C22×Q8—731no—
993C22×Q8—731no—
994C22×Q8—1464no—
995C22×Q8C22×D7311yescharacteristic
996C22×D4—2922no—
997C22×D4—2922no—
998C22×D4—731no—
999C22×D4—731no—
1000C22×D4—731no—
1001C22×D4—1464no—
1002C22×D4C22×D7311yescharacteristic
1003C23×C4—2922no—
1004C23×C4—2922no—
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—731no—
1019C23×C4—731no—
1020C23×C4—731no—
1021C23×C4—1464no—
1022C23×C4C22×D7311yescharacteristic
1023C2×C4⋊C4—2922no—
1024C2×C4⋊C4—2922no—
1025C2×C4⋊C4—2922no—
1026C2×C4⋊C4—2922no—
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—731no—
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—2922no—
1052C2×C22⋊C4—2922no—
1053C2×C22⋊C4—2922no—
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—731no—
1082C2×C22⋊C4—731no—
1083C2×C22⋊C4—731no—
1084C2×C22⋊C4—731no—
1085C2×C22⋊C4—731no—
1086C2×C22⋊C4—731no—
1087C2×C22⋊C4—1464no—
1088C2×C22⋊C4—1464no—
1089C2×C22⋊C4—1464no—
1090C2×C22⋊C4—1464no—
1091C2×C22⋊C4—1464no—
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×C22⋊C4C22×D7311yescharacteristic
1099C2×C22⋊C4C22×D7311yescharacteristic
1100C2×C22⋊C4C22×D7311yescharacteristic
1101C2×C22⋊C4C22×D7311yescharacteristic
1102C2×C22⋊C4C22×D7311yescharacteristic
1103C2×C42—2922no—
1104C2×C42—2922no—
1105C2×C42—731no—
1106C2×C42—731no—
1107C2×C42—731no—
1108C2×C42—731no—
1109C2×C42—731no—
1110C2×C42—731no—
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—731no—
1172C24—731no—
1173C24—1462no—
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×Q8—22no—
1189C2×Q8—41no—
1190C2×Q8—41no—
1191C2×Q8—2921no—
1192C2×Q8—2921no—
1193C2×Q8—2921no—
1194C2×Q8—2921no—
1195C2×Q8—2921no—
1196C2×Q8—2921no—
1197C2×Q8—29216no—
1198C2×Q8—1462no—
1199C2×Q8—1462no—
1200C2×Q8—1462no—
1201C2×D4—22no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—2921no—
1205C2×D4—2921no—
1206C2×D4—29216no—
1207C2×D4—2921no—
1208C2×D4—2921no—
1209C2×D4—2921no—
1210C2×D4—2921no—
1211C2×D4—1462no—
1212C2×D4—1462no—
1213C2×D4—1462no—
1214C22×C4—22no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—2921no—
1218C22×C4—2921no—
1219C22×C4—2921no—
1220C22×C4—2921no—
1221C22×C4—29216no—
1222C22×C4—2921no—
1223C22×C4—2921no—
1224C22×C4—731no—
1225C22×C4—731no—
1226C22×C4—734no—
1227C22×C4—734no—
1228C22×C4—731no—
1229C22×C4—731no—
1230C22×C4—731no—
1231C22×C4—731no—
1232C22×C4—731no—
1233C22×C4—731no—
1234C22×C4—731no—
1235C22×C4—731no—
1236C22×C4—731no—
1237C22×C4—731no—
1238C22×C4—731no—
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—41no—
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—2921no—
1307C4⋊C4—2921no—
1308C4⋊C4—2921no—
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—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
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—2921no—
1332C22⋊C4—2921no—
1333C22⋊C4—2921no—
1334C22⋊C4—2921no—
1335C22⋊C4—2921no—
1336C22⋊C4—2921no—
1337C22⋊C4—2921no—
1338C22⋊C4—2921no—
1339C22⋊C4—2921no—
1340C22⋊C4—2921no—
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—
1352C22⋊C4—1462no—
1353C22⋊C4—1462no—
1354C22⋊C4—1462no—
1355C22⋊C4—1462no—
1356C42—41no—
1357C42—41no—
1358C42—2921no—
1359C42—2921no—
1360C42—2921no—
1361C42—2921no—
1362C42—2921no—
1363C42—2921no—
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—21no—
1377C23—2924no—
1378C23—2924no—
1379C23—2924no—
1380C23—2924no—
1381C23—2924no—
1382C23—2924no—
1383C23—2924no—
1384C23—2924no—
1385C23—2924no—
1386C23—2924no—
1387C23—2924no—
1388C23—732no—
1389C23—732no—
1390C23—732no—
1391C23—732no—
1392C23—732no—
1393C23—732no—
1394C23—732no—
1395C23—732no—
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—1461no—
1412C23#41×D7312yes—
1413C23C24×D7311yescharacteristic
1414Q8—44no—
1415Q8—2924no—
1416Q8—2924no—
1417Q8—2924no—
1418D4—44no—
1419D4—2924no—
1420D4—2924no—
1421D4—2924no—
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—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—44no—
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—2924no—
1473C2×C4—2924no—
1474C2×C4—732no—
1475C2×C4—732no—
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—1461no—
1515C2×C4#41×D7312yes—
1516C2×C4#41×D7312yes—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—29216no—
1532C22—2921no—
1533C22—2921no—
1534C22—2921no—
1535C22—2921no—
1536C22—2921no—
1537C22—2921no—
1538C22—2921no—
1539C22—2921no—
1540C22—2921no—
1541C22—2921no—
1542C22—2921no—
1543C22—5848no—
1544C22—734no—
1545C22—734no—
1546C22—734no—
1547C22—734no—
1548C22—734no—
1549C22—734no—
1550C22—734no—
1551C22—1462no—
1552C22—1462no—
1553C22—1462no—
1554C22C2×#41×D7311yescharacteristic
1555C22C2×#41×D7311yescharacteristic
1556C22C2×#41×D7311yescharacteristic
1557C22H(5,𝔽2)×D7311yescharacteristic
1558C22H(5,𝔽2)×D7311yescharacteristic
1559C22H(5,𝔽2)×D7311yescharacteristic
1560C222−1+4×D7311yescharacteristic
1561C4—22no—
1562C4—22no—
1563C4—41no—
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—2921no—
1585C4—1462no—
1586C4—1462no—
1587C2—42no—
1588C2—81no—
1589C2—2922no—
1590C2—5841no—
1591C2—738no—
1592C2#529×D7311yescharacteristic
1593C2#538×D7311yescharacteristic
1594C2#538×D7311yescharacteristic
1595C2#538×D7311yescharacteristic
1596C2#539×D7311yescharacteristic
1597C2#542×D7311yescharacteristic
1598C2#542×D7311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2653C2
prime radicalC22×D4×D73C22
hypercenter#2653D73
hypocenterC73C2×#2653
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2653

Complements

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

NH ≅ G/Ntype
1. #22616001C2semidirect
2. #22616000C2semidirect
3. #22615999C2semidirect
4. #22615998C2semidirect
5. #22615997C2semidirect
6. #22615996C2semidirect
7. #22615995C2semidirect
8. #22615994C2semidirect
9. #22615993C2semidirect
10. #22615992C2semidirect
11. #22615991C2semidirect
12. #22615990C2semidirect
13. #22615989C2semidirect
14. #22615988C2semidirect
15. #22615987C2semidirect
16. #401×D73C2semidirect
17. #398×D73C2semidirect
18. #397×D73C2semidirect
19. #397×D73C2semidirect
22. #393×D73C2semidirect
23. #393×D73C2semidirect
24. #391×D73C2semidirect
25. #388×D73C2semidirect
26. #388×D73C2semidirect
27. #387×D73C2semidirect
29. #385×D73C2semidirect
30. C4×C22⋊C4×D73C2semidirect
31. C73×#2653C2semidirect
53. C73⋊#401C22semidirect
54. C73⋊#401C22semidirect
55. C73⋊#401C22semidirect
56. C73⋊#401C22semidirect
57. C73⋊#401C22semidirect
58. C73⋊#401C22semidirect
59. C73⋊#401C22semidirect
60. #17988521C22semidirect
61. #17988521C22semidirect
62. #17988520C22semidirect
63. #17988520C22semidirect
64. #17988519C22semidirect
65. #17988518C22semidirect
66. #17988517C22semidirect
67. #17988516C22semidirect
68. #17988516C22semidirect
69. #17988516C22semidirect
70. #17988516C22semidirect
71. #17988515C22semidirect
72. #17988515C22semidirect
73. #17988515C22semidirect
74. #17988515C22semidirect
75. #17988514C22semidirect
76. #17988514C22semidirect
77. #17988513C22semidirect
78. #17988513C22semidirect
79. #17988512C22semidirect
80. #17988512C22semidirect
95. #17988500C22semidirect
96. #17988500C22semidirect
97. #17988500C22semidirect
98. #17988500C22semidirect
99. #17988500C22semidirect
100. #17988500C22semidirect
101. #17988499C22semidirect
102. #17988499C22semidirect
103. #17988499C22semidirect
104. #17988499C22semidirect
105. #17988499C22semidirect
106. #17988499C22semidirect
107. #17988498C22semidirect
108. #17988498C22semidirect
109. #17988494C22semidirect
110. #17988493C22semidirect
111. #17988492C22semidirect
112. #17988491C22semidirect
113. #17988491C22semidirect
114. #17988491C22semidirect
115. #17988491C22semidirect
116. #17988481C22semidirect
117. #17988481C22semidirect
118. #17988480C22semidirect
119. #17988480C22semidirect
120. #17988479C22semidirect
121. #17988479C22semidirect
122. #17988478C22semidirect
123. #17988478C22semidirect
124. #17988477C22semidirect
125. #17988477C22semidirect
126. #17988476C22semidirect
127. #17988476C22semidirect
128. #17988475C22semidirect
129. #17988475C22semidirect
130. #17988474C22semidirect
131. #17988473C22semidirect
132. #17988472C22semidirect
133. #17988471C22semidirect
134. #17988470C22semidirect
135. #17988469C22semidirect
136. #17988468C22semidirect
144. #17988462C22semidirect
145. #17988461C22semidirect
146. #17988461C22semidirect
147. #17988460C22semidirect
148. #17988459C22semidirect
149. #17988458C22semidirect
150. #17988458C22semidirect
151. C22⋊C4×Dic73C22semidirect
152. C22⋊C4×Dic73C22semidirect
153. C4×#11924005C22semidirect
154. C4×#11924005C22semidirect
155. C4×C22⋊Dic73C22semidirect
156. #17988434C22semidirect
157. #17988434C22semidirect
172. #401×C73C22semidirect
173. #398×C73C22semidirect
174. #397×C73C22semidirect
175. #397×C73C22semidirect
178. #393×C73C22semidirect
179. #393×C73C22semidirect
180. #391×C73C22semidirect
181. #388×C73C22semidirect
182. #388×C73C22semidirect
183. #387×C73C22semidirect
185. #385×C73C22semidirect
186. C4×C22⋊C4×C73C22semidirect
799. D73#2653direct (N × H)
815. #2653D73direct (N × H)
831. C73C2×#2653semidirect
860. #401C2×D73semidirect
868. #398C2×D73semidirect
883. #397C2×D73semidirect
884. #397C2×D73semidirect
915. #393C2×D73semidirect
916. #393C2×D73semidirect
924. #391C2×D73semidirect
939. #388C2×D73semidirect
940. #388C2×D73semidirect
948. #387C2×D73semidirect
964. #385C2×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
#226160012
#226160002
#226159992
#226159982
#226159972
#226159962
#226159952
#226159942
#226159932
#226159922
#226159912
#226159902
#226159892
#226159882
#226159872
#401×D732
#398×D732
#397×D732
#394×D732
#393×D732
#391×D732
#388×D732
#387×D732
#386×D732
#385×D732
C4×C22⋊C4×D732
C73×#26532
C2×#265373