Finite Group Databasebeta

← #33293006

Subgroups — #33293006

Order 18688.

2602 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989178C211yesmaximal, characteristic, complemented
2C2×#123×D73C211yesmaximal, characteristic, complemented
3#22618219C211yesmaximal, characteristic, complemented
4#22618212C211yesmaximal, characteristic, complemented
5#22616637C211yesmaximal, characteristic, complemented
6#22616635C211yesmaximal, characteristic, complemented
7#22616633C211yesmaximal, characteristic, complemented
8#22616631C211yesmaximal, characteristic, complemented
9#22616606C211yesmaximal, characteristic, complemented
10#22616604C211yesmaximal, characteristic, complemented
11#22616598C211yesmaximal, characteristic, complemented
12#22616299C211yesmaximal, characteristic, complemented
13#22616298C211yesmaximal, characteristic, complemented
14#22616295C211yesmaximal, characteristic, complemented
15#22616291C211yesmaximal, characteristic, complemented
16#22616287C211yesmaximal, characteristic, complemented
17#22616283C211yesmaximal, characteristic, complemented
18#22616282C211yesmaximal, characteristic, complemented
19#22616278C211yesmaximal, characteristic, complemented
20#22615737C211yesmaximal, characteristic, complemented
21#22615670C211yesmaximal, characteristic, complemented
22#22615282C211yesmaximal, characteristic, complemented
23#22615273C211yesmaximal, characteristic, complemented
24#22613315C211yesmaximal, characteristic, complemented
25#22613313C211yesmaximal, characteristic, complemented
26#22613311C211yesmaximal, characteristic, complemented
27#22613309C211yesmaximal, characteristic, complemented
28#22613285C211yesmaximal, characteristic, complemented
29#22613280C211yesmaximal, characteristic, complemented
30#22612546C211yesmaximal, characteristic, complemented
31C73×#2705C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C23×C4×D73C2211yescharacteristic
34#17989178—28no—
35C2×#14556586C2211yescharacteristic, complemented
36C2×#14556583C2211yescharacteristic, complemented
37C2×#14556582C2211yescharacteristic, complemented
38C2×#14556576C2211yescharacteristic
39C2×#14556576C2211yescharacteristic
40C2×#14556576C2211yescharacteristic
41C2×#14556575C2211yescharacteristic
42C2×#14556575C2211yescharacteristic, complemented
43C2×#14556574C2211yescharacteristic
44C2×#14556573C2211yescharacteristic
45C2×#14556573C2211yescharacteristic
46C2×#14556573C2211yescharacteristic
47C2×#14556573C2211yescharacteristic, complemented
48C2×#14556572C2211yescharacteristic
49#123×D73—28no—
50C2×#14556571C2211yescharacteristic
51C2×#14556571C2211yescharacteristic, complemented
52C2×#14556570C2211yescharacteristic, complemented
53C2×#14556569C2211yescharacteristic, complemented
54C2×#14556568C2211yescharacteristic, complemented
55C2×#14556566C2211yescharacteristic
56C2×#14556564C2211yescharacteristic
57C2×#14556564C2211yescharacteristic, complemented
58C2×#14556563C2211yescharacteristic
59C2×#14556563C2211yescharacteristic
60C2×#14556563C2211yescharacteristic, complemented
61C2×#14556562C2211yescharacteristic
62C2×#14556561C2211yescharacteristic
63C2×#14556561C2211yescharacteristic
64C2×#14556559C2211yescharacteristic
65C2×#14556559C2211yescharacteristic
66C2×C4×D292C2211yescharacteristic
67C2×#14556551C2211yescharacteristic
68C2×#14556549C2211yescharacteristic
69C2×#14556548C2211yescharacteristic
70C2×C4⋊C4×D73C2211yescharacteristic
71C2×C4⋊C4×D73C2211yescharacteristic
72C2×C22⋊C4×D73C2211yescharacteristic
73C2×C22⋊C4×D73C2211yescharacteristic
74C2×C22⋊C4×D73C2211yescharacteristic
75#17988522C2211yescharacteristic, complemented
76#17988521C2211yescharacteristic, complemented
77#17988520C2211yescharacteristic, complemented
78#17988519C2211yescharacteristic, complemented
79#17988517C2211yescharacteristic, complemented
80#17988516C2211yescharacteristic, complemented
81#17988515C2211yescharacteristic, complemented
82#17988511C2211yescharacteristic, complemented
83#17988511C2211yescharacteristic, complemented
84#17988510C2211yescharacteristic, complemented
85#17988510C2211yescharacteristic, complemented
86#17988510C2211yescharacteristic, complemented
87#17988510C2211yescharacteristic, complemented
88#17988510C2211yescharacteristic, complemented
89#17988510C2211yescharacteristic, complemented
90#17988509C2211yescharacteristic, complemented
91#17988509C2211yescharacteristic, complemented
92#17988509C2211yescharacteristic, complemented
93#17988509C2211yescharacteristic, complemented
94#17988509C2211yescharacteristic, complemented
95#17988509C2211yescharacteristic, complemented
96#17988505C2211yescharacteristic
97#17988505C2211yescharacteristic, complemented
98#17988504C2211yescharacteristic, complemented
99#17988504C2211yescharacteristic, complemented
100#17988503C2211yescharacteristic
101#17988503C2211yescharacteristic
102#17988503C2211yescharacteristic, complemented
103#17988503C2211yescharacteristic, complemented
104#17988503C2211yescharacteristic, complemented
105#17988503C2211yescharacteristic, complemented
106#17988502C2211yescharacteristic, complemented
107#17988502C2211yescharacteristic, complemented
108#17988501C2211yescharacteristic
109#17988501C2211yescharacteristic, complemented
110#17988500C2211yescharacteristic, complemented
111#17988499C2211yescharacteristic, complemented
112#17988496C2211yescharacteristic
113#17988496C2211yescharacteristic
114#17988496C2211yescharacteristic
115#17988496C2211yescharacteristic, complemented
116#17988495C2211yescharacteristic, complemented
117#17988490C2211yescharacteristic, complemented
118#17988489C2211yescharacteristic
119#17988489C2211yescharacteristic, complemented
120#17988488C2211yescharacteristic, complemented
121#17988487C2211yescharacteristic
122#17988487C2211yescharacteristic
123#17988487C2211yescharacteristic, complemented
124#17988487C2211yescharacteristic, complemented
125#17988487C2211yescharacteristic, complemented
126#17988487C2211yescharacteristic, complemented
127#17988486C2211yescharacteristic, complemented
128#17988485C2211yescharacteristic, complemented
129#17988484C2211yescharacteristic, complemented
130#17988484C2211yescharacteristic, complemented
131#17988483C2211yescharacteristic, complemented
132#17988482C2211yescharacteristic, complemented
133#17988482C2211yescharacteristic, complemented
134#17988481C2211yescharacteristic, complemented
135#17988480C2211yescharacteristic, complemented
136#17988479C2211yescharacteristic, complemented
137#17988478C2211yescharacteristic, complemented
138#17988477C2211yescharacteristic, complemented
139#17988476C2211yescharacteristic, complemented
140#17988475C2211yescharacteristic, complemented
141#17988473C2211yescharacteristic, complemented
142#17988471C2211yescharacteristic, complemented
143#17988469C2211yescharacteristic, complemented
144#17988466C2211yescharacteristic, complemented
145#17988465C2211yescharacteristic
146#17988465C2211yescharacteristic
147#17988465C2211yescharacteristic, complemented
148#17988463C2211yescharacteristic
149#17988463C2211yescharacteristic
150#17988463C2211yescharacteristic, complemented
151#17988462C2211yescharacteristic, complemented
152#17988462C2211yescharacteristic, complemented
153#17988462C2211yescharacteristic, complemented
154#17988461C2211yescharacteristic
155#17988461C2211yescharacteristic
156#17988461C2211yescharacteristic, complemented
157#17988461C2211yescharacteristic, complemented
158#17988461C2211yescharacteristic, complemented
159#17988459C2211yescharacteristic, complemented
160#17988458C2211yescharacteristic
161#17988458C2211yescharacteristic
162#17988458C2211yescharacteristic, complemented
163#17988446C2211yescharacteristic
164#17988446C2211yescharacteristic
165#17988446C2211yescharacteristic, complemented
166#17988445C2211yescharacteristic, complemented
167#17988444C2211yescharacteristic
168#17988444C2211yescharacteristic
169#17988444C2211yescharacteristic, complemented
170#17988442C2211yescharacteristic
171#17988442C2211yescharacteristic
172#17988442C2211yescharacteristic
173#17988442C2211yescharacteristic
174C2×#126×C73C2211yescharacteristic, complemented
175C2×#123×C73C2211yescharacteristic
176#399×C73C2211yescharacteristic, complemented
177#396×C73C2211yescharacteristic, complemented
178#396×C73C2211yescharacteristic, complemented
179#394×C73C2211yescharacteristic, complemented
180#394×C73C2211yescharacteristic, complemented
181#392×C73C2211yescharacteristic
182#390×C73C2211yescharacteristic
183#390×C73C2211yescharacteristic, complemented
184#389×C73C2211yescharacteristic, complemented
185#388×C73C2211yescharacteristic, complemented
186#387×C73C2211yescharacteristic, complemented
187#386×C73C2211yescharacteristic, complemented
188#380×C73C2211yescharacteristic, complemented
189C24×D73C2311yescharacteristic
190C24×D73C2311yescharacteristic
191C22×Dic146C2311yescharacteristic
192C22×D292C2311yescharacteristic
193C22×D292C2311yescharacteristic
194C22×D292C2311yescharacteristic
195C22×D292C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C22×C22⋊D73C2311yescharacteristic
199C22×C22⋊D73C2311yescharacteristic
200C22×C22⋊D73C2311yescharacteristic
201C22×C22⋊D73C2311yescharacteristic
202C22×C22⋊D73C2311yescharacteristic
203C22×C22⋊D73C2311yescharacteristic
204C2×D4×D73—24no—
205C2×D4×D73—42no—
206C2×D4×D73—42no—
207C23×Dic73C2311yescharacteristic
208C23×Dic73C2311yescharacteristic
209C22×C4×D73—24no—
210C22×C4×D73—42no—
211C22×C4×D73—42no—
212C22×C4×D73C2311yescharacteristic
213C22×C4×D73C2311yescharacteristic
214C22×C4×D73C2311yescharacteristic
215C22×C4×D73C2311yescharacteristic
216C22×C4×D73C2311yescharacteristic
217C22×C4×D73C2311yescharacteristic
218C22×C4×D73C2311yescharacteristic
219C22×C4×D73C2311yescharacteristic
220#14556586—24no—
221#14556583—24no—
222#14556582—24no—
223#14556576—24no—
224#14556576—24no—
225#14556576—24no—
226#14556575—24no—
227#14556575—24no—
228#14556574—24no—
229#14556573—24no—
230#14556573—24no—
231#14556573—24no—
232#14556573—24no—
233#14556572—24no—
234#14556571—24no—
235#14556571—42no—
236#14556570—42no—
237#14556569—24no—
238#14556568—24no—
239#14556566—42no—
240#14556564—24no—
241#14556564—42no—
242#14556563—42no—
243#14556563—42no—
244#14556563—42no—
245#14556562—42no—
246#14556561—42no—
247#14556561—42no—
248#14556559—42no—
249#14556559—42no—
250C4×D292—24no—
251#14556551—24no—
252#14556549—42no—
253#14556548—42no—
254C2×C4⋊Dic73C2311yescharacteristic
255C2×C4⋊Dic73C2311yescharacteristic
256C2×C4⋊Dic73C2311yescharacteristic
257C2×C4⋊Dic73C2311yescharacteristic
258C2×C4⋊Dic73C2311yescharacteristic
259C2×C4⋊Dic73C2311yescharacteristic
260C2×C4⋊Dic73C2311yescharacteristic
261C2×C4⋊Dic73C2311yescharacteristic
262C2×C4⋊Dic73C2311yescharacteristic
263C2×C4⋊Dic73C2311yescharacteristic
264C2×C4⋊Dic73C2311yescharacteristic
265C2×#11924007C2311yescharacteristic
266C2×#11924007C2311yescharacteristic
267C2×#11924007C2311yescharacteristic
268C2×#11924007C2311yescharacteristic
269C2×#11924007C2311yescharacteristic
270C2×#11924007C2311yescharacteristic
271C2×#11924007C2311yescharacteristic
272C2×#11924007C2311yescharacteristic
273C2×#11924007C2311yescharacteristic
274C2×#11924007C2311yescharacteristic
275C2×#11924007C2311yescharacteristic
276C2×#11924007C2311yescharacteristic
277C2×#11924007C2311yescharacteristic
278C2×#11924007C2311yescharacteristic
279C2×#11924007C2311yescharacteristic
280C2×#11924007C2311yescharacteristic
281C2×#11924007C2311yescharacteristic
282C2×#11924007C2311yescharacteristic
283C4⋊C4×D73—24no—
284C4⋊C4×D73D418yescomplemented
285C2×C22⋊Dic73C2311yescharacteristic
286C2×C22⋊Dic73C2311yescharacteristic
287C2×C22⋊Dic73C2311yescharacteristic
288C2×C22⋊Dic73C2311yescharacteristic
289C2×C22⋊Dic73C2311yescharacteristic
290C2×C22⋊Dic73C2311yescharacteristic
291C2×C22⋊Dic73C2311yescharacteristic
292C2×C22⋊Dic73C2311yescharacteristic
293C2×C22⋊Dic73C2311yescharacteristic
294C2×C22⋊Dic73C2311yescharacteristic
295C2×C22⋊Dic73C2311yescharacteristic
296C2×C22⋊Dic73C2311yescharacteristic
297C2×#11924005C2311yescharacteristic
298C2×#11924005C2311yescharacteristic
299C2×#11924005C2311yescharacteristic
300C2×#11924005C2311yescharacteristic
301C2×#11924005C2311yescharacteristic
302C2×#11924005C2311yescharacteristic
303C2×#11924005C2311yescharacteristic
304C2×#11924005C2311yescharacteristic
305C2×#11924005C2311yescharacteristic
306C2×#11924005C2311yescharacteristic
307C2×#11924005C2311yescharacteristic
308C2×#11924005C2311yescharacteristic
309C2×#11924005C2311yescharacteristic
310C2×#11924005C2311yescharacteristic
311C2×#11924005C2311yescharacteristic
312C2×#11924005C2311yescharacteristic
313C2×#11924005C2311yescharacteristic
314C2×#11924005C2311yescharacteristic
315C2×#11924005C2311yescharacteristic
316C2×#11924005C2311yescharacteristic
317C2×#11924005C2311yescharacteristic
318C2×#11924005C2311yescharacteristic
319C2×#11924005C2311yescharacteristic
320C2×#11924005C2311yescharacteristic
321C2×#11924005C2311yescharacteristic
322C2×#11924005C2311yescharacteristic
323C2×#11924005C2311yescharacteristic
324C2×#11924005C2311yescharacteristic
325C2×#11924005C2311yescharacteristic
326C2×#11924005C2311yescharacteristic
327C2×#11924005C2311yescharacteristic
328C2×#11924005C2311yescharacteristic
329C22⋊C4×D73—24no—
330C22⋊C4×D73—24no—
331C22⋊C4×D73—24no—
332C2×C4×Dic73C2311yescharacteristic
333C2×C4×Dic73C2311yescharacteristic
334C2×C4×Dic73C2311yescharacteristic
335C2×C4×Dic73C2311yescharacteristic
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
350#14556498C2311yescharacteristic
351#14556498C2311yescharacteristic
352#14556498C2311yescharacteristic
353#14556498C2311yescharacteristic
354C22×D4×C73C2311yescharacteristic
355C22×D4×C73C2311yescharacteristic
356C22×D4×C73C2311yescharacteristic
357C23×C4×C73C2311yescharacteristic
358#126×C73—24no—
359#123×C73—24no—
360C2×C4⋊C4×C73C2311yescharacteristic
361C2×C4⋊C4×C73C2311yescharacteristic
362C2×C4⋊C4×C73C2311yescharacteristic
363C2×C4⋊C4×C73C2311yescharacteristic
364C2×C4⋊C4×C73C2311yescharacteristic
365C2×C4⋊C4×C73C2311yescharacteristic
366C2×C4⋊C4×C73C2311yescharacteristic
367C2×C4⋊C4×C73C2311yescharacteristic
368C2×C4⋊C4×C73C2311yescharacteristic
369C2×C22⋊C4×C73C2311yescharacteristic
370C2×C22⋊C4×C73C2311yescharacteristic
371C2×C22⋊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×C42×C73C2311yescharacteristic
384C2×C42×C73C2311yescharacteristic
385#95×C73C2311yescharacteristic
386#95×C73C2311yescharacteristic
387#95×C73C2311yescharacteristic
388#95×C73C2311yescharacteristic
389#95×C73C2311yescharacteristic
390#95×C73C2311yescharacteristic
391C23×D73—22no—
392C23×D73—22no—
393C23×D73—22no—
394C23×D73—22no—
395C23×D73—22no—
396C23×D73—22no—
397C23×D73—22no—
398C23×D73—22no—
399C23×D73—41no—
400C23×D73—41no—
401C23×D73—41no—
402C23×D73—41no—
403C23×D73—41no—
404C23×D73—41no—
405C23×D73C2411yescharacteristic
406C23×D73C2411yescharacteristic
407C23×D73C2411yescharacteristic
408C23×D73C2411yescharacteristic
409C2×Dic146—22no—
410C2×Dic146—41no—
411C2×Dic146—41no—
412C2×D292—22no—
413C2×D292—22no—
414C2×D292—22no—
415C2×D292—22no—
416C2×D292—22no—
417C2×D292—22no—
418C2×D292—41no—
419C2×D292—41no—
420C2×D292—41no—
421C2×D292—41no—
422C2×D292—41no—
423C2×D292—41no—
424C2×C22⋊D73—22no—
425C2×C22⋊D73—22no—
426C2×C22⋊D73—22no—
427C2×C22⋊D73—22no—
428C2×C22⋊D73—22no—
429C2×C22⋊D73—22no—
430C2×C22⋊D73—22no—
431C2×C22⋊D73—22no—
432C2×C22⋊D73—22no—
433C2×C22⋊D73—22no—
434C2×C22⋊D73—41no—
435C2×C22⋊D73—41no—
436C2×C22⋊D73—41no—
437C2×C22⋊D73—41no—
438C2×C22⋊D73—41no—
439C2×C22⋊D73—41no—
440C2×C22⋊D73—41no—
441C2×C22⋊D73—41no—
442C2×C22⋊D73—41no—
443C2×C22⋊D73—41no—
444C2×C22⋊D73—41no—
445C2×C22⋊D73—41no—
446C2×C22⋊D73—41no—
447C2×C22⋊D73—41no—
448D4×D73—416no—
449C22×Dic73—22no—
450C22×Dic73—22no—
451C22×Dic73—22no—
452C22×Dic73—41no—
453C22×Dic73—41no—
454C22×Dic73—41no—
455C22×Dic73C2411yescharacteristic
456C22×Dic73C2411yescharacteristic
457C22×Dic73C2411yescharacteristic
458C22×Dic73C2411yescharacteristic
459C22×Dic73C2411yescharacteristic
460C22×Dic73C2411yescharacteristic
461C22×Dic73C2411yescharacteristic
462C22×Dic73C2411yescharacteristic
463C22×Dic73C2411yescharacteristic
464C22×Dic73C2411yescharacteristic
465C22×Dic73C2411yescharacteristic
466C22×Dic73C2411yescharacteristic
467C2×C4×D73—22no—
468C2×C4×D73—22no—
469C2×C4×D73—22no—
470C2×C4×D73—22no—
471C2×C4×D73—22no—
472C2×C4×D73—22no—
473C2×C4×D73—22no—
474C2×C4×D73—22no—
475C2×C4×D73—22no—
476C2×C4×D73—41no—
477C2×C4×D73—41no—
478C2×C4×D73—41no—
479C2×C4×D73—41no—
480C2×C4×D73—41no—
481C2×C4×D73—41no—
482C2×C4×D73—41no—
483C2×C4×D73—41no—
484C2×C4×D73—41no—
485C2×C4×D73—41no—
486C2×C4×D73—416no—
487C2×C4×D73—41no—
488C2×C4×D73—41no—
489C2×C4×D73C2×D414yes—
490C2×C4×D73C2×D414yes—
491C2×C4×D73C2×D414yes—
492C4⋊Dic73—22no—
493C4⋊Dic73—22no—
494C4⋊Dic73—22no—
495C4⋊Dic73—22no—
496C4⋊Dic73—22no—
497C4⋊Dic73—41no—
498C4⋊Dic73—41no—
499C4⋊Dic73—41no—
500C4⋊Dic73—41no—
501C4⋊Dic73—41no—
502C4⋊Dic73C2×D414yes—
503#11924007—22no—
504#11924007—22no—
505#11924007—22no—
506#11924007—22no—
507#11924007—22no—
508#11924007—22no—
509#11924007—41no—
510#11924007—41no—
511#11924007—41no—
512#11924007—41no—
513#11924007—41no—
514#11924007—41no—
515#11924007—41no—
516#11924007—41no—
517#11924007—41no—
518#11924007—41no—
519#11924007C2×D414yes—
520#11924007C2×D414yes—
521C22⋊Dic73—22no—
522C22⋊Dic73—22no—
523C22⋊Dic73—22no—
524C22⋊Dic73—22no—
525C22⋊Dic73—22no—
526C22⋊Dic73—22no—
527C22⋊Dic73—41no—
528C22⋊Dic73—41no—
529C22⋊Dic73—41no—
530C22⋊Dic73—41no—
531C22⋊Dic73—41no—
532C22⋊Dic73—41no—
533#11924005—22no—
534#11924005—22no—
535#11924005—22no—
536#11924005—22no—
537#11924005—22no—
538#11924005—22no—
539#11924005—22no—
540#11924005—22no—
541#11924005—22no—
542#11924005—22no—
543#11924005—22no—
544#11924005—22no—
545#11924005—22no—
546#11924005—22no—
547#11924005—22no—
548#11924005—22no—
549#11924005—22no—
550#11924005—22no—
551#11924005—41no—
552#11924005—41no—
553#11924005—41no—
554#11924005—41no—
555#11924005—41no—
556#11924005—41no—
557#11924005—41no—
558#11924005—41no—
559#11924005—41no—
560#11924005—41no—
561#11924005—41no—
562#11924005—41no—
563#11924005—41no—
564#11924005—41no—
565C4×Dic73—22no—
566C4×Dic73—41no—
567C4×Dic73—41no—
568C4×Dic73—41no—
569C24×C73C2411yescharacteristic
570C24×C73C2411yescharacteristic
571C24×C73C2411yescharacteristic
572C2×D4×C73—22no—
573C2×D4×C73—22no—
574C2×D4×C73—22no—
575C2×D4×C73—41no—
576C2×D4×C73—41no—
577C2×D4×C73—41no—
578C2×D4×C73—41no—
579C2×D4×C73—41no—
580C2×D4×C73—41no—
581C22×C4×C73—22no—
582C22×C4×C73—22no—
583C22×C4×C73—41no—
584C22×C4×C73C2411yescharacteristic
585C22×C4×C73C2411yescharacteristic
586C22×C4×C73C2411yescharacteristic
587C22×C4×C73C2411yescharacteristic
588C22×C4×C73C2411yescharacteristic
589C22×C4×C73C2411yescharacteristic
590C22×C4×C73C2411yescharacteristic
591C22×C4×C73C2411yescharacteristic
592C22×C4×C73C2411yescharacteristic
593C22×C4×C73C2411yescharacteristic
594C22×C4×C73C2411yescharacteristic
595C22×C4×C73C2411yescharacteristic
596C4⋊C4×C73—22no—
597C4⋊C4×C73—22no—
598C4⋊C4×C73—22no—
599C4⋊C4×C73—41no—
600C4⋊C4×C73—41no—
601C4⋊C4×C73—41no—
602C4⋊C4×C73—41no—
603C4⋊C4×C73—41no—
604C4⋊C4×C73C2×D414yes—
605C22⋊C4×C73—22no—
606C22⋊C4×C73—22no—
607C22⋊C4×C73—22no—
608C22⋊C4×C73—22no—
609C22⋊C4×C73—22no—
610C22⋊C4×C73—22no—
611C22⋊C4×C73—41no—
612C22⋊C4×C73—41no—
613C22⋊C4×C73—41no—
614C22⋊C4×C73—41no—
615C22⋊C4×C73—41no—
616C22⋊C4×C73—41no—
617C22⋊C4×C73—41no—
618C22⋊C4×C73—41no—
619C42×C73—22no—
620C42×C73—41no—
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×C73—21no—
636C23×C73—21no—
637C23×C73—21no—
638C23×C73—21no—
639C23×C73—21no—
640C23×C73—21no—
641C23×C73H(5,𝔽2)12yes—
642C23×C73C2511yescharacteristic
643C22×D73—21no—
644C22×D73—21no—
645C22×D73—21no—
646C22×D73—21no—
647C22×D73—28no—
648C22×D73—21no—
649C22×D73—21no—
650C22×D73—21no—
651C22×D73—21no—
652C22×D73—21no—
653C22×D73—21no—
654C22×D73—21no—
655C22×D73—21no—
656C22×D73—21no—
657C22×D73—21no—
658C22×D73—21no—
659C22×D73—21no—
660C22×D73—21no—
661C22×D73—21no—
662C22×D73—21no—
663C22×D73—21no—
664C22×D73—21no—
665C22×D73—21no—
666C22×D73—21no—
667C22×D73—21no—
668C22×D73—44no—
669C22×D73—44no—
670C22×D73—44no—
671C22×D73—44no—
672C22×D73—44no—
673C22×D73—44no—
674C22×D73—44no—
675C22×D73—44no—
676C22×D73—44no—
677C22×D73—82no—
678C22×D73—82no—
679C22×D73—82no—
680C22×D73—82no—
681C22×D73C22×D412yes—
682C22×D73H(5,𝔽2)12yes—
683C22×D73H(5,𝔽2)12yes—
684C22×D732−1+412yes—
685D4×C73—44no—
686D4×C73—82no—
687D4×C73—82no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—44no—
722C2×C4×C73C22×D412yes—
723C2×C4×C73C22×D412yes—
724C2×C4×C73C22×D412yes—
725C22⋊D73—44no—
726C22⋊D73—44no—
727C22⋊D73—44no—
728C22⋊D73—82no—
729C22⋊D73—82no—
730C22⋊D73—82no—
731C22⋊D73—82no—
732C22⋊D73—82no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—44no—
767C2×Dic73—82no—
768C2×Dic73C22×D412yes—
769C2×Dic73C22×D412yes—
770C2×Dic73C22×D412yes—
771D292—44no—
772D292—44no—
773D292—82no—
774D292—82no—
775C4×D73—28no—
776C4×D73—44no—
777C4×D73—44no—
778C4×D73—44no—
779C4×D73—44no—
780C4×D73—44no—
781C4×D73—44no—
782C4×D73—82no—
783Dic146—82no—
784C22×C73—22no—
785C22×C73—22no—
786C22×C73—22no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73—41no—
793C22×C73—41no—
794C22×C73—41no—
795C22×C73—41no—
796C22×C73—41no—
797C22×C73—41no—
798C22×C73—41no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73—41no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73C23×D411yescharacteristic
806C22×C73C2×H(5,𝔽2)11yescharacteristic
807C22×C73C2×H(5,𝔽2)11yescharacteristic
808C22×C73C2×H(5,𝔽2)11yescharacteristic
809C22×C73C2×2−1+411yescharacteristic
810C22×C73#58511yescharacteristic
811C22×C73#58511yescharacteristic
812C2×D73—22no—
813C2×D73—22no—
814C2×D73—22no—
815C2×D73—22no—
816C2×D73—22no—
817C2×D73—22no—
818C2×D73—22no—
819C2×D73—22no—
820C2×D73—22no—
821C2×D73—416no—
822C2×D73—41no—
823C2×D73—41no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—88no—
841C2×D73#53714yes—
842C4×C73—22no—
843C4×C73—22no—
844C4×C73—22no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854Dic73—22no—
855Dic73—22no—
856Dic73—22no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860Dic73—41no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866#36722—731nomaximal, Sylow
867C2×C73—42no—
868C2×C73—81no—
869C2×C73—81no—
870C2×C73C2×#53711yescharacteristic
871C2×C73#348411yescharacteristic
872C2×C73#348711yescharacteristic
873C2×C73#353411yescharacteristic
874C2×C73#353411yescharacteristic
875C2×C73#353511yescharacteristic
876C2×C73#353511yescharacteristic
877D73—24no—
878D73—42no—
879D73—81no—
880D73—81no—
881C2×#539—731no—
882C22×#123—731no—
883#2848—731no—
884#2847—731no—
885#2707—731no—
886#2707—731no—
887#2707—731no—
888#2707—731no—
889#2705—731no—
890#2705—731no—
891#2705—731no—
892#2705D7311yescharacteristic, complemented
893#2682—731no—
894#2682—731no—
895#2682—731no—
896#2682—731no—
897#2681—731no—
898#2681—731no—
899#2681—731no—
900#2681—731no—
901#2626—731no—
902#2617—731no—
903#2579—731no—
904#2579—731no—
905#2411—731no—
906#2411—731no—
907#2411—731no—
908#2411—731no—
909#2408—731no—
910#2408—731no—
911#2316—731no—
912C73#3672211yescharacteristic, complemented, Sylow
913C23×D4—731no—
914C24×C4—731no—
915#539—1468no—
916C2×#126—731no—
917C2×#126C2×D7311yescharacteristic, complemented
918C2×#125—731no—
919C2×#125—731no—
920C2×#123—731no—
921C2×#123—731no—
922C2×#123—731no—
923C2×#123—731no—
924C2×#123—731no—
925C2×#123—731no—
926C2×#123—731no—
927C2×#123—731no—
928C2×#123—731no—
929C2×#123—731no—
930C2×#123—731no—
931C2×#123—1468no—
932C2×#123C2×D7311yescharacteristic
933C2×C22⋊Q8—731no—
934C2×C22⋊Q8—731no—
935C2×C22⋊Q8—731no—
936C2×C22⋊Q8—731no—
937C2×C22⋊Q8—731no—
938C2×#121—731no—
939C2×#121—731no—
940C2×#121—731no—
941C2×#121—731no—
942C2×#121—731no—
943C2×#121—731no—
944C2×#121—731no—
945C2×#120—731no—
946C2×#120—731no—
947C2×#120—731no—
948C2×#120—731no—
949C2×C4×D4—731no—
950C2×C4×D4—731no—
951C2×#117—731no—
952C2×#117—731no—
953C22×C4⋊C4—731no—
954C22×C4⋊C4—731no—
955C22×C22⋊C4—731no—
956C22×C22⋊C4—731no—
957C22×C22⋊C4—731no—
958#399—731no—
959#399C2×D7311yescharacteristic, complemented
960#398—731no—
961#398—731no—
962#398—731no—
963#398—731no—
964#397—731no—
965#397—731no—
966#396—731no—
967#396—731no—
968#396—731no—
969#396—731no—
970#396—731no—
971#396—731no—
972#396—731no—
973#396—731no—
974#396—731no—
975#396—731no—
976#396—731no—
977#396—731no—
978#396—731no—
979#396—731no—
980#396C2×D7311yescharacteristic, complemented
981#396C2×D7311yescharacteristic, complemented
982#394—731no—
983#394—731no—
984#394—731no—
985#394—731no—
986#394—731no—
987#394—731no—
988#394—731no—
989#394—731no—
990#394—731no—
991#394—731no—
992#394—731no—
993#394—731no—
994#394—731no—
995#394—731no—
996#394C2×D7311yescharacteristic, complemented
997#394C2×D7311yescharacteristic, complemented
998#393—731no—
999#393—731no—
1000#392—731no—
1001#392—731no—
1002#392—731no—
1003#392—731no—
1004#392—731no—
1005#392C2×D7311yescharacteristic
1006#390—731no—
1007#390—731no—
1008#390—731no—
1009#390—731no—
1010#390—731no—
1011#390—731no—
1012#390—731no—
1013#390—731no—
1014#390—731no—
1015#390—731no—
1016#390C2×D7311yescharacteristic
1017#390C2×D7311yescharacteristic, complemented
1018#389—731no—
1019#389—731no—
1020#389—731no—
1021#389—731no—
1022#389—731no—
1023#389—731no—
1024#389—731no—
1025#389C2×D7311yescharacteristic, complemented
1026#388—731no—
1027#388—731no—
1028#388—731no—
1029#388—731no—
1030#388—731no—
1031#388—731no—
1032#388—731no—
1033#388C2×D7311yescharacteristic, complemented
1034#387—731no—
1035#387—731no—
1036#387—731no—
1037#387C2×D7311yescharacteristic, complemented
1038#386—731no—
1039#386—731no—
1040#386—731no—
1041#386—731no—
1042#386—731no—
1043#386—731no—
1044#386—731no—
1045#386C2×D7311yescharacteristic, complemented
1046#385—731no—
1047#385—731no—
1048#385—731no—
1049#385—731no—
1050#385—731no—
1051#385—731no—
1052#385—731no—
1053#385—731no—
1054#385—731no—
1055#385—731no—
1056#385—731no—
1057#385—731no—
1058#380—731no—
1059#380—731no—
1060#380—731no—
1061#380—731no—
1062#380—731no—
1063#380—731no—
1064#380—731no—
1065#380C2×D7311yescharacteristic, complemented
1066#379—731no—
1067#379—731no—
1068#379—731no—
1069#379—731no—
1070C25—731no—
1071C25—731no—
1072C22×Q8—731no—
1073C22×D4—2922no—
1074C22×D4—2922no—
1075C22×D4—731no—
1076C22×D4—731no—
1077C22×D4—731no—
1078C22×D4—731no—
1079C22×D4—731no—
1080C22×D4—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—731no—
1084C22×D4—731no—
1085C22×D4—731no—
1086C22×D4—731no—
1087C22×D4—1464no—
1088C22×D4C22×D7311yescharacteristic
1089C22×D4C22×D7311yescharacteristic
1090C22×D4C22×D7311yescharacteristic
1091C23×C4—2922no—
1092C23×C4—2922no—
1093C23×C4—731no—
1094C23×C4—731no—
1095C23×C4—731no—
1096C23×C4—731no—
1097C23×C4—731no—
1098C23×C4—731no—
1099C23×C4—731no—
1100C23×C4—731no—
1101C23×C4—731no—
1102C23×C4—731no—
1103C23×C4—1464no—
1104C23×C4C22×D7311yescharacteristic
1105#126—24no—
1106#126—1464no—
1107#125—1464no—
1108#125—1464no—
1109#123—24no—
1110#123—1464no—
1111#123—1464no—
1112#123—1464no—
1113#123—1464no—
1114#123—1464no—
1115#123—1464no—
1116#123—1464no—
1117#123—1464no—
1118#123—1464no—
1119#123—1464no—
1120#123—1464no—
1121C22⋊Q8—2922no—
1122C22⋊Q8—2922no—
1123C22⋊Q8—1464no—
1124C22⋊Q8—1464no—
1125C22⋊Q8—1464no—
1126#121—2922no—
1127#121—2922no—
1128#121—2922no—
1129#121—2922no—
1130#121—2922no—
1131#121—2922no—
1132#121—1464no—
1133#120—2922no—
1134#120—2922no—
1135#120—2922no—
1136#120—2922no—
1137C4×D4—1464no—
1138C4×D4—1464no—
1139#117—2922no—
1140#117—2922no—
1141C2×C4⋊C4—731no—
1142C2×C4⋊C4—731no—
1143C2×C4⋊C4—731no—
1144C2×C4⋊C4—731no—
1145C2×C4⋊C4—731no—
1146C2×C4⋊C4—731no—
1147C2×C4⋊C4—731no—
1148C2×C4⋊C4—731no—
1149C2×C4⋊C4—731no—
1150C2×C4⋊C4—731no—
1151C2×C4⋊C4—731no—
1152C2×C4⋊C4—731no—
1153C2×C4⋊C4—731no—
1154C2×C4⋊C4—731no—
1155C2×C4⋊C4—731no—
1156C2×C4⋊C4—731no—
1157C2×C4⋊C4—731no—
1158C2×C4⋊C4—731no—
1159C2×C4⋊C4—738no—
1160C2×C4⋊C4—731no—
1161C2×C4⋊C4—731no—
1162C2×C4⋊C4—731no—
1163C2×C4⋊C4—731no—
1164C2×C4⋊C4—731no—
1165C2×C4⋊C4—731no—
1166C2×C4⋊C4—731no—
1167C2×C4⋊C4—731no—
1168C2×C4⋊C4—731no—
1169C2×C4⋊C4—731no—
1170C2×C4⋊C4—731no—
1171C2×C4⋊C4—1464no—
1172C2×C4⋊C4C22×D7311yescharacteristic
1173C2×C4⋊C4C22×D7311yescharacteristic
1174C2×C4⋊C4C22×D7311yescharacteristic
1175C2×C4⋊C4C22×D7311yescharacteristic
1176C2×C4⋊C4C22×D7311yescharacteristic
1177C2×C4⋊C4C22×D7311yescharacteristic
1178C2×C4⋊C4C22×D7311yescharacteristic
1179C2×C4⋊C4C22×D7311yescharacteristic
1180C2×C4⋊C4C22×D7311yescharacteristic
1181C2×C22⋊C4—731no—
1182C2×C22⋊C4—731no—
1183C2×C22⋊C4—731no—
1184C2×C22⋊C4—731no—
1185C2×C22⋊C4—731no—
1186C2×C22⋊C4—731no—
1187C2×C22⋊C4—731no—
1188C2×C22⋊C4—731no—
1189C2×C22⋊C4—731no—
1190C2×C22⋊C4—731no—
1191C2×C22⋊C4—731no—
1192C2×C22⋊C4—731no—
1193C2×C22⋊C4—731no—
1194C2×C22⋊C4—731no—
1195C2×C22⋊C4—731no—
1196C2×C22⋊C4—731no—
1197C2×C22⋊C4—731no—
1198C2×C22⋊C4—731no—
1199C2×C22⋊C4—731no—
1200C2×C22⋊C4—731no—
1201C2×C22⋊C4—731no—
1202C2×C22⋊C4—731no—
1203C2×C22⋊C4—731no—
1204C2×C22⋊C4—731no—
1205C2×C22⋊C4—731no—
1206C2×C22⋊C4—731no—
1207C2×C22⋊C4—731no—
1208C2×C22⋊C4—731no—
1209C2×C22⋊C4—731no—
1210C2×C22⋊C4—731no—
1211C2×C22⋊C4—731no—
1212C2×C22⋊C4—731no—
1213C2×C22⋊C4—731no—
1214C2×C22⋊C4—731no—
1215C2×C22⋊C4—731no—
1216C2×C22⋊C4—731no—
1217C2×C22⋊C4—731no—
1218C2×C22⋊C4—731no—
1219C2×C22⋊C4—731no—
1220C2×C22⋊C4—731no—
1221C2×C22⋊C4—731no—
1222C2×C22⋊C4—731no—
1223C2×C22⋊C4—731no—
1224C2×C22⋊C4—731no—
1225C2×C22⋊C4—1464no—
1226C2×C22⋊C4—1464no—
1227C2×C22⋊C4—1464no—
1228C2×C22⋊C4C22×D7311yescharacteristic
1229C2×C22⋊C4C22×D7311yescharacteristic
1230C2×C22⋊C4C22×D7311yescharacteristic
1231C2×C22⋊C4C22×D7311yescharacteristic
1232C2×C22⋊C4C22×D7311yescharacteristic
1233C2×C22⋊C4C22×D7311yescharacteristic
1234C2×C22⋊C4C22×D7311yescharacteristic
1235C2×C22⋊C4C22×D7311yescharacteristic
1236C2×C22⋊C4C22×D7311yescharacteristic
1237C2×C22⋊C4C22×D7311yescharacteristic
1238C2×C22⋊C4C22×D7311yescharacteristic
1239C2×C22⋊C4C22×D7311yescharacteristic
1240C2×C22⋊C4C22×D7311yescharacteristic
1241C2×C22⋊C4C22×D7311yescharacteristic
1242C2×C42—731no—
1243C2×C42—731no—
1244C2×C42—731no—
1245C2×C42—731no—
1246C2×C42C22×D7311yescharacteristic
1247C2×C42C22×D7311yescharacteristic
1248#95—731no—
1249#95—731no—
1250#95—731no—
1251#95—731no—
1252#95—731no—
1253#95—731no—
1254#95—731no—
1255#95—731no—
1256#95—731no—
1257#95—731no—
1258#95—731no—
1259#95—731no—
1260#95—731no—
1261#95—731no—
1262#95—731no—
1263#95—731no—
1264#95—731no—
1265#95—731no—
1266#95C22×D7311yescharacteristic
1267#95C22×D7311yescharacteristic
1268#95C22×D7311yescharacteristic
1269#95C22×D7311yescharacteristic
1270#95C22×D7311yescharacteristic
1271#95C22×D7311yescharacteristic
1272C24—2921no—
1273C24—2921no—
1274C24—2921no—
1275C24—2921no—
1276C24—2921no—
1277C24—2921no—
1278C24—731no—
1279C24—731no—
1280C24—731no—
1281C24—731no—
1282C24—1462no—
1283C24—1462no—
1284C24—1462no—
1285C24—1462no—
1286C24—1462no—
1287C24—1462no—
1288C24—1462no—
1289C24—1462no—
1290C24C23×D7311yescharacteristic
1291C24C23×D7311yescharacteristic
1292C24C23×D7311yescharacteristic
1293C2×Q8—2921no—
1294C2×Q8—2921no—
1295C2×Q8—1462no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—2921no—
1306C2×D4—2921no—
1307C2×D4—2921no—
1308C2×D4—2921no—
1309C2×D4—2921no—
1310C2×D4—2921no—
1311C2×D4—29216no—
1312C2×D4—2921no—
1313C2×D4—2921no—
1314C2×D4—2921no—
1315C2×D4—2921no—
1316C2×D4—2921no—
1317C2×D4—2921no—
1318C2×D4—2921no—
1319C2×D4—2921no—
1320C2×D4—2921no—
1321C2×D4—2921no—
1322C2×D4—2921no—
1323C2×D4—2921no—
1324C2×D4—2921no—
1325C2×D4—2921no—
1326C2×D4—1462no—
1327C2×D4—1462no—
1328C2×D4—1462no—
1329C2×D4—1462no—
1330C2×D4—1462no—
1331C2×D4—1462no—
1332C2×D4—1462no—
1333C2×D4—1462no—
1334C2×D4—1462no—
1335C2×D4—1462no—
1336C2×D4—1462no—
1337C2×D4—1462no—
1338C2×D4—1462no—
1339C2×D4—1462no—
1340C2×D4—1462no—
1341C2×D4—1462no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—41no—
1345C22×C4—2921no—
1346C22×C4—2921no—
1347C22×C4—2921no—
1348C22×C4—2921no—
1349C22×C4—2921no—
1350C22×C4—2921no—
1351C22×C4—2921no—
1352C22×C4—2921no—
1353C22×C4—2921no—
1354C22×C4—2921no—
1355C22×C4—2921no—
1356C22×C4—2921no—
1357C22×C4—29216no—
1358C22×C4—2921no—
1359C22×C4—2921no—
1360C22×C4—2921no—
1361C22×C4—734no—
1362C22×C4—734no—
1363C22×C4—731no—
1364C22×C4—731no—
1365C22×C4—731no—
1366C22×C4—734no—
1367C22×C4—731no—
1368C22×C4—731no—
1369C22×C4—731no—
1370C22×C4—731no—
1371C22×C4—731no—
1372C22×C4—731no—
1373C22×C4—731no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—1462no—
1377C22×C4—1462no—
1378C22×C4—1462no—
1379C22×C4—1462no—
1380C22×C4—1462no—
1381C22×C4—1462no—
1382C22×C4—1462no—
1383C22×C4—1462no—
1384C22×C4—1462no—
1385C22×C4—1462no—
1386C22×C4—1462no—
1387C22×C4—1462no—
1388C22×C4C23×D7311yescharacteristic
1389C22×C4C23×D7311yescharacteristic
1390C22×C4C23×D7311yescharacteristic
1391C22×C4C23×D7311yescharacteristic
1392C22×C4C23×D7311yescharacteristic
1393C22×C4C23×D7311yescharacteristic
1394C22×C4C23×D7311yescharacteristic
1395C22×C4C23×D7311yescharacteristic
1396C22×C4C23×D7311yescharacteristic
1397C22×C4C23×D7311yescharacteristic
1398C22×C4C23×D7311yescharacteristic
1399C22×C4C23×D7311yescharacteristic
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—2921no—
1409C4⋊C4—2921no—
1410C4⋊C4—2921no—
1411C4⋊C4—2921no—
1412C4⋊C4—2921no—
1413C4⋊C4—2921no—
1414C4⋊C4—2921no—
1415C4⋊C4—2921no—
1416C4⋊C4—2921no—
1417C4⋊C4—2921no—
1418C4⋊C4—2921no—
1419C4⋊C4—2921no—
1420C4⋊C4—2921no—
1421C4⋊C4—2921no—
1422C4⋊C4—2921no—
1423C4⋊C4—734no—
1424C4⋊C4—734no—
1425C4⋊C4—734no—
1426C4⋊C4—1462no—
1427C4⋊C4—1462no—
1428C4⋊C4—1462no—
1429C4⋊C4—1462no—
1430C4⋊C4—1462no—
1431C4⋊C4—1462no—
1432C4⋊C4—1462no—
1433C4⋊C4—1462no—
1434C4⋊C4—1462no—
1435C4⋊C4—1462no—
1436C4⋊C4—1462no—
1437C4⋊C4D4×D7314yes—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—2921no—
1453C22⋊C4—2921no—
1454C22⋊C4—2921no—
1455C22⋊C4—2921no—
1456C22⋊C4—2921no—
1457C22⋊C4—2921no—
1458C22⋊C4—2921no—
1459C22⋊C4—2921no—
1460C22⋊C4—2921no—
1461C22⋊C4—2921no—
1462C22⋊C4—2921no—
1463C22⋊C4—2921no—
1464C22⋊C4—2921no—
1465C22⋊C4—2921no—
1466C22⋊C4—2921no—
1467C22⋊C4—2921no—
1468C22⋊C4—2921no—
1469C22⋊C4—2921no—
1470C22⋊C4—2921no—
1471C22⋊C4—2921no—
1472C22⋊C4—1462no—
1473C22⋊C4—1462no—
1474C22⋊C4—1462no—
1475C22⋊C4—1462no—
1476C22⋊C4—1462no—
1477C22⋊C4—1462no—
1478C22⋊C4—1462no—
1479C22⋊C4—1462no—
1480C22⋊C4—1462no—
1481C22⋊C4—1462no—
1482C22⋊C4—1462no—
1483C22⋊C4—1462no—
1484C22⋊C4—1462no—
1485C22⋊C4—1462no—
1486C22⋊C4—1462no—
1487C22⋊C4—1462no—
1488C22⋊C4—1462no—
1489C22⋊C4—1462no—
1490C22⋊C4—1462no—
1491C22⋊C4—1462no—
1492C22⋊C4—1462no—
1493C22⋊C4—1462no—
1494C22⋊C4—1462no—
1495C22⋊C4—1462no—
1496C42—22no—
1497C42—41no—
1498C42—2921no—
1499C42—2921no—
1500C42—2921no—
1501C42—1462no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—2924no—
1523C23—2924no—
1524C23—2924no—
1525C23—2924no—
1526C23—2924no—
1527C23—2924no—
1528C23—2924no—
1529C23—2924no—
1530C23—2924no—
1531C23—5842no—
1532C23—5842no—
1533C23—5842no—
1534C23—5842no—
1535C23—732no—
1536C23—732no—
1537C23—732no—
1538C23—732no—
1539C23—1468no—
1540C23—1461no—
1541C23—1461no—
1542C23—1461no—
1543C23—1461no—
1544C23—1461no—
1545C23—1461no—
1546C23—1461no—
1547C23—1461no—
1548C23—1461no—
1549C23—1461no—
1550C23—1461no—
1551C23—1461no—
1552C23—1461no—
1553C23—1461no—
1554C23—1461no—
1555C23—1461no—
1556C23—1461no—
1557C23—1461no—
1558C23—1461no—
1559C23—1461no—
1560C23—1461no—
1561C23—1461no—
1562C23—1461no—
1563C23—1461no—
1564C23#1455663712yes—
1565C23C24×D7311yescharacteristic
1566Q8—5842no—
1567D4—44no—
1568D4—82no—
1569D4—82no—
1570D4—2924no—
1571D4—2924no—
1572D4—2924no—
1573D4—2924no—
1574D4—2924no—
1575D4—5842no—
1576D4—5842no—
1577D4—5842no—
1578D4—5842no—
1579D4—5842no—
1580D4—5842no—
1581D4—5842no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—44no—
1616C2×C4—2924no—
1617C2×C4—2924no—
1618C2×C4—2924no—
1619C2×C4—2924no—
1620C2×C4—2924no—
1621C2×C4—2924no—
1622C2×C4—2924no—
1623C2×C4—5842no—
1624C2×C4—5842no—
1625C2×C4—732no—
1626C2×C4—732no—
1627C2×C4—732no—
1628C2×C4—1468no—
1629C2×C4—1461no—
1630C2×C4—1461no—
1631C2×C4—1461no—
1632C2×C4—1461no—
1633C2×C4—1461no—
1634C2×C4—1461no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4—1461no—
1639C2×C4—1461no—
1640C2×C4—1461no—
1641C2×C4—1461no—
1642C2×C4—1461no—
1643C2×C4—1461no—
1644C2×C4—1461no—
1645C2×C4—1461no—
1646C2×C4—1461no—
1647C2×C4—1461no—
1648C2×C4—1461no—
1649C2×C4—1461no—
1650C2×C4—1461no—
1651C2×C4—1461no—
1652C2×C4—1461no—
1653C2×C4—1461no—
1654C2×C4—1461no—
1655C2×C4—1461no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4C2×D4×D7312yes—
1663C2×C4C2×D4×D7312yes—
1664C2×C4C2×D4×D7312yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—29216no—
1687C22—2921no—
1688C22—2921no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—2921no—
1698C22—2921no—
1699C22—2921no—
1700C22—2921no—
1701C22—2921no—
1702C22—2921no—
1703C22—2921no—
1704C22—2921no—
1705C22—5848no—
1706C22—734no—
1707C22—1462no—
1708C22—1462no—
1709C22—1462no—
1710C22—1462no—
1711C22—1462no—
1712C22—1462no—
1713C22—1462no—
1714C22—1462no—
1715C22—1462no—
1716C22C22×D4×D7311yescharacteristic
1717C22H(5,𝔽2)×D7311yescharacteristic
1718C22H(5,𝔽2)×D7311yescharacteristic
1719C22C2×#1455663711yescharacteristic
1720C222−1+4×D7311yescharacteristic
1721C22#1798942211yescharacteristic
1722C22#1798942311yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—2921no—
1736C4—2921no—
1737C4—2921no—
1738C4—2921no—
1739C4—2921no—
1740C4—2921no—
1741C4—2921no—
1742C4—2921no—
1743C4—2921no—
1744C4—1462no—
1745C4—1462no—
1746C4—1462no—
1747C2—42no—
1748C2—81no—
1749C2—81no—
1750C2—2922no—
1751C2—5841no—
1752C2—5841no—
1753C2—1464no—
1754C2#537×D7311yescharacteristic
1755C2#2262356111yescharacteristic
1756C2#2262358411yescharacteristic
1757C2#2262411211yescharacteristic
1758C2#2262412411yescharacteristic
1759C2#2262413311yescharacteristic
1760C2#2262413811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2705C2
hypercenter#2705D73
hypocenterC73#36722
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2705

Complements

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

NH ≅ G/Ntype
1. C2×#17989178C2semidirect
2. C2×#123×D73C2semidirect
3. #22618219C2semidirect
4. #22618212C2semidirect
5. #22616637C2semidirect
6. #22616635C2semidirect
7. #22616633C2semidirect
8. #22616631C2semidirect
9. #22616606C2semidirect
10. #22616604C2semidirect
11. #22616598C2semidirect
12. #22616299C2semidirect
13. #22616298C2semidirect
14. #22616295C2semidirect
15. #22616291C2semidirect
16. #22616287C2semidirect
17. #22616283C2semidirect
18. #22616282C2semidirect
19. #22616278C2semidirect
20. #22615737C2semidirect
21. #22615670C2semidirect
22. #22615282C2semidirect
23. #22615273C2semidirect
24. #22613315C2semidirect
25. #22613313C2semidirect
26. #22613311C2semidirect
27. #22613309C2semidirect
28. #22613285C2semidirect
29. #22613280C2semidirect
30. #22612546C2semidirect
31. C73×#2705C2semidirect
35. C2×#14556586C22semidirect
36. C2×#14556583C22semidirect
37. C2×#14556582C22semidirect
42. C2×#14556575C22semidirect
47. C2×#14556573C22semidirect
51. C2×#14556571C22semidirect
52. C2×#14556570C22semidirect
53. C2×#14556569C22semidirect
54. C2×#14556568C22semidirect
57. C2×#14556564C22semidirect
60. C2×#14556563C22semidirect
75. #17988522C22semidirect
76. #17988521C22semidirect
77. #17988520C22semidirect
78. #17988519C22semidirect
79. #17988517C22semidirect
80. #17988516C22semidirect
81. #17988515C22semidirect
82. #17988511C22semidirect
83. #17988511C22semidirect
84. #17988510C22semidirect
85. #17988510C22semidirect
86. #17988510C22semidirect
87. #17988510C22semidirect
88. #17988510C22semidirect
89. #17988510C22semidirect
90. #17988509C22semidirect
91. #17988509C22semidirect
92. #17988509C22semidirect
93. #17988509C22semidirect
94. #17988509C22semidirect
95. #17988509C22semidirect
97. #17988505C22semidirect
98. #17988504C22semidirect
99. #17988504C22semidirect
102. #17988503C22semidirect
103. #17988503C22semidirect
104. #17988503C22semidirect
105. #17988503C22semidirect
106. #17988502C22semidirect
107. #17988502C22semidirect
109. #17988501C22semidirect
110. #17988500C22semidirect
111. #17988499C22semidirect
115. #17988496C22semidirect
116. #17988495C22semidirect
117. #17988490C22semidirect
119. #17988489C22semidirect
120. #17988488C22semidirect
123. #17988487C22semidirect
124. #17988487C22semidirect
125. #17988487C22semidirect
126. #17988487C22semidirect
127. #17988486C22semidirect
128. #17988485C22semidirect
129. #17988484C22semidirect
130. #17988484C22semidirect
131. #17988483C22semidirect
132. #17988482C22semidirect
133. #17988482C22semidirect
134. #17988481C22semidirect
135. #17988480C22semidirect
136. #17988479C22semidirect
137. #17988478C22semidirect
138. #17988477C22semidirect
139. #17988476C22semidirect
140. #17988475C22semidirect
141. #17988473C22semidirect
142. #17988471C22semidirect
143. #17988469C22semidirect
144. #17988466C22semidirect
147. #17988465C22semidirect
150. #17988463C22semidirect
151. #17988462C22semidirect
152. #17988462C22semidirect
153. #17988462C22semidirect
156. #17988461C22semidirect
157. #17988461C22semidirect
158. #17988461C22semidirect
159. #17988459C22semidirect
162. #17988458C22semidirect
165. #17988446C22semidirect
166. #17988445C22semidirect
169. #17988444C22semidirect
174. C2×#126×C73C22semidirect
176. #399×C73C22semidirect
177. #396×C73C22semidirect
178. #396×C73C22semidirect
179. #394×C73C22semidirect
180. #394×C73C22semidirect
183. #390×C73C22semidirect
184. #389×C73C22semidirect
185. #388×C73C22semidirect
186. #387×C73C22semidirect
187. #386×C73C22semidirect
188. #380×C73C22semidirect
284. C4⋊C4×D73D4semidirect
892. #2705D73semidirect
912. C73#36722semidirect
917. C2×#126C2×D73semidirect
959. #399C2×D73semidirect
980. #396C2×D73semidirect
981. #396C2×D73semidirect
996. #394C2×D73semidirect
997. #394C2×D73semidirect
1017. #390C2×D73semidirect
1025. #389C2×D73semidirect
1033. #388C2×D73semidirect
1037. #387C2×D73semidirect
1045. #386C2×D73semidirect
1065. #380C2×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891782
C2×#123×D732
#226182192
#226182122
#226166372
#226166352
#226166332
#226166312
#226166062
#226166042
#226165982
#226162992
#226162982
#226162952
#226162912
#226162872
#226162832
#226162822
#226162782
#226157372
#226156702
#226152822
#226152732
#226133152
#226133132
#226133112
#226133092
#226132852
#226132802
#226125462
C73×#27052
#3672273