Finite Group Databasebeta

← #33293004

Subgroups — #33293004

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×#17989185C211yesmaximal, characteristic, complemented
2C2×#123×D73C211yesmaximal, characteristic, complemented
3#22618217C211yesmaximal, characteristic, complemented
4#22618214C211yesmaximal, characteristic, complemented
5#22616636C211yesmaximal, characteristic, complemented
6#22616634C211yesmaximal, characteristic, complemented
7#22616628C211yesmaximal, characteristic, complemented
8#22616607C211yesmaximal, characteristic, complemented
9#22616605C211yesmaximal, characteristic, complemented
10#22616603C211yesmaximal, characteristic, complemented
11#22616601C211yesmaximal, characteristic, complemented
12#22616297C211yesmaximal, characteristic, complemented
13#22616296C211yesmaximal, characteristic, complemented
14#22616293C211yesmaximal, characteristic, complemented
15#22616291C211yesmaximal, characteristic, complemented
16#22616288C211yesmaximal, characteristic, complemented
17#22616285C211yesmaximal, characteristic, complemented
18#22616281C211yesmaximal, characteristic, complemented
19#22616276C211yesmaximal, characteristic, complemented
20#22615741C211yesmaximal, characteristic, complemented
21#22615666C211yesmaximal, characteristic, complemented
22#22615282C211yesmaximal, characteristic, complemented
23#22615279C211yesmaximal, characteristic, complemented
24#22613315C211yesmaximal, characteristic, complemented
25#22613315C211yesmaximal, characteristic, complemented
26#22613311C211yesmaximal, characteristic, complemented
27#22613311C211yesmaximal, characteristic, complemented
28#22613285C211yesmaximal, characteristic, complemented
29#22613282C211yesmaximal, characteristic, complemented
30#22612546C211yesmaximal, characteristic, complemented
31C73×#2707C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C23×C4×D73C2211yescharacteristic
34#17989185—28no—
35C2×#14556586C2211yescharacteristic, complemented
36C2×#14556585C2211yescharacteristic, complemented
37C2×#14556581C2211yescharacteristic, complemented
38C2×#14556576C2211yescharacteristic
39C2×#14556576C2211yescharacteristic
40C2×#14556576C2211yescharacteristic
41C2×#14556576C2211yescharacteristic
42C2×#14556576C2211yescharacteristic, complemented
43C2×#14556576C2211yescharacteristic, complemented
44C2×#14556575C2211yescharacteristic
45C2×#14556574C2211yescharacteristic
46C2×#14556573C2211yescharacteristic
47C2×#14556573C2211yescharacteristic
48C2×#14556572C2211yescharacteristic
49#123×D73—28no—
50C2×#14556571C2211yescharacteristic, complemented
51C2×#14556569C2211yescharacteristic
52C2×#14556569C2211yescharacteristic, complemented
53C2×#14556569C2211yescharacteristic, complemented
54C2×#14556568C2211yescharacteristic, complemented
55C2×#14556566C2211yescharacteristic
56C2×#14556566C2211yescharacteristic
57C2×#14556566C2211yescharacteristic, complemented
58C2×#14556565C2211yescharacteristic, complemented
59C2×#14556564C2211yescharacteristic
60C2×#14556564C2211yescharacteristic
61C2×#14556562C2211yescharacteristic
62C2×#14556561C2211yescharacteristic
63C2×#14556561C2211yescharacteristic
64C2×#14556561C2211yescharacteristic
65C2×#14556561C2211yescharacteristic
66C2×C4×D292C2211yescharacteristic
67C2×#14556553C2211yescharacteristic
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#17988523C2211yescharacteristic, complemented
76#17988522C2211yescharacteristic, complemented
77#17988521C2211yescharacteristic, complemented
78#17988520C2211yescharacteristic, complemented
79#17988519C2211yescharacteristic, complemented
80#17988513C2211yescharacteristic, complemented
81#17988511C2211yescharacteristic, complemented
82#17988511C2211yescharacteristic, complemented
83#17988511C2211yescharacteristic, complemented
84#17988510C2211yescharacteristic, complemented
85#17988510C2211yescharacteristic, complemented
86#17988510C2211yescharacteristic, complemented
87#17988509C2211yescharacteristic, complemented
88#17988509C2211yescharacteristic, complemented
89#17988509C2211yescharacteristic, complemented
90#17988509C2211yescharacteristic, complemented
91#17988509C2211yescharacteristic, complemented
92#17988509C2211yescharacteristic, complemented
93#17988509C2211yescharacteristic, complemented
94#17988505C2211yescharacteristic, complemented
95#17988505C2211yescharacteristic, complemented
96#17988505C2211yescharacteristic, complemented
97#17988505C2211yescharacteristic, complemented
98#17988504C2211yescharacteristic
99#17988504C2211yescharacteristic, complemented
100#17988504C2211yescharacteristic, complemented
101#17988503C2211yescharacteristic
102#17988503C2211yescharacteristic
103#17988503C2211yescharacteristic, complemented
104#17988503C2211yescharacteristic, complemented
105#17988502C2211yescharacteristic, complemented
106#17988502C2211yescharacteristic, complemented
107#17988502C2211yescharacteristic, complemented
108#17988502C2211yescharacteristic, complemented
109#17988500C2211yescharacteristic, complemented
110#17988499C2211yescharacteristic, complemented
111#17988497C2211yescharacteristic
112#17988497C2211yescharacteristic, complemented
113#17988496C2211yescharacteristic
114#17988496C2211yescharacteristic
115#17988496C2211yescharacteristic, complemented
116#17988495C2211yescharacteristic
117#17988489C2211yescharacteristic
118#17988489C2211yescharacteristic, complemented
119#17988489C2211yescharacteristic, complemented
120#17988488C2211yescharacteristic, complemented
121#17988488C2211yescharacteristic, complemented
122#17988487C2211yescharacteristic
123#17988487C2211yescharacteristic
124#17988487C2211yescharacteristic, complemented
125#17988487C2211yescharacteristic, complemented
126#17988487C2211yescharacteristic, complemented
127#17988487C2211yescharacteristic, complemented
128#17988486C2211yescharacteristic, complemented
129#17988485C2211yescharacteristic, complemented
130#17988484C2211yescharacteristic, complemented
131#17988484C2211yescharacteristic, complemented
132#17988483C2211yescharacteristic, complemented
133#17988482C2211yescharacteristic, complemented
134#17988482C2211yescharacteristic, complemented
135#17988477C2211yescharacteristic, complemented
136#17988477C2211yescharacteristic, complemented
137#17988476C2211yescharacteristic, complemented
138#17988476C2211yescharacteristic, complemented
139#17988475C2211yescharacteristic, complemented
140#17988475C2211yescharacteristic, complemented
141#17988474C2211yescharacteristic, complemented
142#17988471C2211yescharacteristic, complemented
143#17988470C2211yescharacteristic, complemented
144#17988465C2211yescharacteristic
145#17988465C2211yescharacteristic
146#17988465C2211yescharacteristic
147#17988465C2211yescharacteristic
148#17988465C2211yescharacteristic, complemented
149#17988465C2211yescharacteristic, complemented
150#17988464C2211yescharacteristic, complemented
151#17988464C2211yescharacteristic, complemented
152#17988461C2211yescharacteristic
153#17988461C2211yescharacteristic
154#17988461C2211yescharacteristic, complemented
155#17988461C2211yescharacteristic, complemented
156#17988461C2211yescharacteristic, complemented
157#17988460C2211yescharacteristic, complemented
158#17988458C2211yescharacteristic
159#17988458C2211yescharacteristic
160#17988458C2211yescharacteristic, complemented
161#17988458C2211yescharacteristic, complemented
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×#125×C73C2211yescharacteristic, complemented
175C2×#123×C73C2211yescharacteristic
176#398×C73C2211yescharacteristic, complemented
177#397×C73C2211yescharacteristic, complemented
178#396×C73C2211yescharacteristic, complemented
179#396×C73C2211yescharacteristic, complemented
180#396×C73C2211yescharacteristic, complemented
181#394×C73C2211yescharacteristic
182#390×C73C2211yescharacteristic
183#389×C73C2211yescharacteristic, complemented
184#388×C73C2211yescharacteristic, complemented
185#388×C73C2211yescharacteristic, complemented
186#387×C73C2211yescharacteristic, complemented
187#385×C73C2211yescharacteristic, complemented
188#380×C73C2211yescharacteristic, complemented
189C24×D73C2311yescharacteristic
190C24×D73C2311yescharacteristic
191C22×Dic146C2311yescharacteristic
192C22×D292C2311yescharacteristic
193C22×D292C2311yescharacteristic
194C22×D292C2311yescharacteristic
195C22×D292C2311yescharacteristic
196C22×D292C2311yescharacteristic
197C22×D292C2311yescharacteristic
198C22×D292C2311yescharacteristic
199C22×D292C2311yescharacteristic
200C22×C22⋊D73C2311yescharacteristic
201C22×C22⋊D73C2311yescharacteristic
202C22×C22⋊D73C2311yescharacteristic
203C22×C22⋊D73C2311yescharacteristic
204C22×C22⋊D73C2311yescharacteristic
205C22×C22⋊D73C2311yescharacteristic
206C2×D4×D73—24no—
207C2×D4×D73—42no—
208C2×D4×D73—42no—
209C23×Dic73C2311yescharacteristic
210C22×C4×D73—24no—
211C22×C4×D73—42no—
212C22×C4×D73—42no—
213C22×C4×D73C2311yescharacteristic
214C22×C4×D73C2311yescharacteristic
215C22×C4×D73C2311yescharacteristic
216C22×C4×D73C2311yescharacteristic
217C22×C4×D73C2311yescharacteristic
218C22×C4×D73C2311yescharacteristic
219C22×C4×D73C2311yescharacteristic
220C22×C4×D73C2311yescharacteristic
221C22×C4×D73C2311yescharacteristic
222#14556586—24no—
223#14556585—24no—
224#14556581—24no—
225#14556576—24no—
226#14556576—24no—
227#14556576—24no—
228#14556576—24no—
229#14556576—24no—
230#14556576—24no—
231#14556575—24no—
232#14556574—24no—
233#14556573—24no—
234#14556573—24no—
235#14556572—24no—
236#14556571—24no—
237#14556569—24no—
238#14556569—24no—
239#14556569—42no—
240#14556568—42no—
241#14556566—24no—
242#14556566—42no—
243#14556566—42no—
244#14556565—42no—
245#14556564—42no—
246#14556564—42no—
247#14556562—42no—
248#14556561—42no—
249#14556561—42no—
250#14556561—42no—
251#14556561—42no—
252C4×D292—24no—
253#14556553—24no—
254#14556549—42no—
255#14556548—42no—
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×#11924007C2311yescharacteristic
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
282C4⋊C4×D73—24no—
283C4⋊C4×D73D418yescomplemented
284C2×C22⋊Dic73C2311yescharacteristic
285C2×C22⋊Dic73C2311yescharacteristic
286C2×C22⋊Dic73C2311yescharacteristic
287C2×C22⋊Dic73C2311yescharacteristic
288C2×C22⋊Dic73C2311yescharacteristic
289C2×C22⋊Dic73C2311yescharacteristic
290C2×C22⋊Dic73C2311yescharacteristic
291C2×#11924005C2311yescharacteristic
292C2×#11924005C2311yescharacteristic
293C2×#11924005C2311yescharacteristic
294C2×#11924005C2311yescharacteristic
295C2×#11924005C2311yescharacteristic
296C2×#11924005C2311yescharacteristic
297C2×#11924005C2311yescharacteristic
298C2×#11924005C2311yescharacteristic
299C2×#11924005C2311yescharacteristic
300C2×#11924005C2311yescharacteristic
301C2×#11924005C2311yescharacteristic
302C2×#11924005C2311yescharacteristic
303C2×#11924005C2311yescharacteristic
304C2×#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
329C2×#11924005C2311yescharacteristic
330C2×#11924005C2311yescharacteristic
331C22⋊C4×D73—24no—
332C22⋊C4×D73—24no—
333C22⋊C4×D73—24no—
334C2×C4×Dic73C2311yescharacteristic
335C2×C4×Dic73C2311yescharacteristic
336C2×C4×Dic73C2311yescharacteristic
337C2×C4×Dic73C2311yescharacteristic
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
355C23×C4×C73C2311yescharacteristic
356#125×C73—24no—
357#123×C73—24no—
358C2×C4⋊C4×C73C2311yescharacteristic
359C2×C4⋊C4×C73C2311yescharacteristic
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×C4⋊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×C42×C73C2311yescharacteristic
382C2×C42×C73C2311yescharacteristic
383#95×C73C2311yescharacteristic
384#95×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
409C23×D73C2411yescharacteristic
410C2×Dic146—22no—
411C2×Dic146—41no—
412C2×Dic146—41no—
413C2×D292—22no—
414C2×D292—22no—
415C2×D292—22no—
416C2×D292—22no—
417C2×D292—22no—
418C2×D292—22no—
419C2×D292—22no—
420C2×D292—22no—
421C2×D292—22no—
422C2×D292—22no—
423C2×D292—22no—
424C2×D292—41no—
425C2×D292—41no—
426C2×D292—41no—
427C2×D292—41no—
428C2×D292—41no—
429C2×D292—41no—
430C2×D292—41no—
431C2×D292—41no—
432C2×D292—41no—
433C2×D292—41no—
434C2×D292—41no—
435C2×D292—41no—
436C2×D292—41no—
437C2×C22⋊D73—22no—
438C2×C22⋊D73—22no—
439C2×C22⋊D73—22no—
440C2×C22⋊D73—22no—
441C2×C22⋊D73—22no—
442C2×C22⋊D73—22no—
443C2×C22⋊D73—41no—
444C2×C22⋊D73—41no—
445C2×C22⋊D73—41no—
446C2×C22⋊D73—41no—
447C2×C22⋊D73—41no—
448C2×C22⋊D73—41no—
449C2×C22⋊D73—41no—
450C2×C22⋊D73—41no—
451C2×C22⋊D73—41no—
452C2×C22⋊D73—41no—
453C2×C22⋊D73—41no—
454C2×C22⋊D73—41no—
455D4×D73—416no—
456C22×Dic73—22no—
457C22×Dic73—22no—
458C22×Dic73—41no—
459C22×Dic73C2411yescharacteristic
460C22×Dic73C2411yescharacteristic
461C22×Dic73C2411yescharacteristic
462C22×Dic73C2411yescharacteristic
463C22×Dic73C2411yescharacteristic
464C22×Dic73C2411yescharacteristic
465C22×Dic73C2411yescharacteristic
466C22×Dic73C2411yescharacteristic
467C22×Dic73C2411yescharacteristic
468C22×Dic73C2411yescharacteristic
469C22×Dic73C2411yescharacteristic
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—22no—
477C2×C4×D73—22no—
478C2×C4×D73—22no—
479C2×C4×D73—22no—
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—41no—
487C2×C4×D73—41no—
488C2×C4×D73—41no—
489C2×C4×D73—41no—
490C2×C4×D73—416no—
491C2×C4×D73—41no—
492C2×C4×D73—41no—
493C2×C4×D73—41no—
494C2×C4×D73—41no—
495C2×C4×D73C2×D414yes—
496C2×C4×D73C2×D414yes—
497C2×C4×D73C2×D414yes—
498C4⋊Dic73—22no—
499C4⋊Dic73—22no—
500C4⋊Dic73—41no—
501C4⋊Dic73—41no—
502C4⋊Dic73—41no—
503C4⋊Dic73—41no—
504C4⋊Dic73—41no—
505C4⋊Dic73C2×D414yes—
506#11924007—22no—
507#11924007—22no—
508#11924007—22no—
509#11924007—22no—
510#11924007—22no—
511#11924007—22no—
512#11924007—41no—
513#11924007—41no—
514#11924007—41no—
515#11924007—41no—
516#11924007—41no—
517#11924007—41no—
518#11924007—41no—
519#11924007—41no—
520#11924007—41no—
521#11924007—41no—
522#11924007C2×D414yes—
523#11924007C2×D414yes—
524C22⋊Dic73—22no—
525C22⋊Dic73—22no—
526C22⋊Dic73—22no—
527C22⋊Dic73—22no—
528C22⋊Dic73—41no—
529C22⋊Dic73—41no—
530C22⋊Dic73—41no—
531#11924005—22no—
532#11924005—22no—
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—22no—
552#11924005—22no—
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—
565#11924005—41no—
566#11924005—41no—
567#11924005—41no—
568#11924005—41no—
569#11924005—41no—
570#11924005—41no—
571C4×Dic73—22no—
572C4×Dic73—41no—
573C4×Dic73—41no—
574C4×Dic73—41no—
575C24×C73C2411yescharacteristic
576C24×C73C2411yescharacteristic
577C2×D4×C73—22no—
578C2×D4×C73—22no—
579C2×D4×C73—41no—
580C22×C4×C73—22no—
581C22×C4×C73—22no—
582C22×C4×C73—41no—
583C22×C4×C73C2411yescharacteristic
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—22no—
600C4⋊C4×C73—22no—
601C4⋊C4×C73—22no—
602C4⋊C4×C73—41no—
603C4⋊C4×C73—41no—
604C4⋊C4×C73—41no—
605C4⋊C4×C73—41no—
606C4⋊C4×C73—41no—
607C4⋊C4×C73C2×D414yes—
608C22⋊C4×C73—22no—
609C22⋊C4×C73—22no—
610C22⋊C4×C73—22no—
611C22⋊C4×C73—22no—
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×C73H(5,𝔽2)12yes—
635C23×C73C2511yescharacteristic
636C22×D73—21no—
637C22×D73—21no—
638C22×D73—21no—
639C22×D73—21no—
640C22×D73—28no—
641C22×D73—21no—
642C22×D73—21no—
643C22×D73—21no—
644C22×D73—21no—
645C22×D73—21no—
646C22×D73—21no—
647C22×D73—21no—
648C22×D73—21no—
649C22×D73—21no—
650C22×D73—21no—
651C22×D73—21no—
652C22×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—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
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—21no—
722C2×C4×C73—44no—
723C2×C4×C73C22×D412yes—
724C2×C4×C73C22×D412yes—
725C2×C4×C73C22×D412yes—
726C22⋊D73—44no—
727C22⋊D73—44no—
728C22⋊D73—82no—
729C22⋊D73—82no—
730C22⋊D73—82no—
731C22⋊D73—82no—
732C2×Dic73—21no—
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—44no—
763C2×Dic73C22×D412yes—
764C2×Dic73C22×D412yes—
765C2×Dic73C22×D412yes—
766D292—44no—
767D292—44no—
768D292—44no—
769D292—82no—
770D292—82no—
771D292—82no—
772D292—82no—
773D292—82no—
774C4×D73—28no—
775C4×D73—44no—
776C4×D73—44no—
777C4×D73—44no—
778C4×D73—44no—
779C4×D73—44no—
780C4×D73—44no—
781C4×D73—82no—
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×C73C23×D411yescharacteristic
799C22×C73C2×H(5,𝔽2)11yescharacteristic
800C22×C73C2×H(5,𝔽2)11yescharacteristic
801C22×C73C2×H(5,𝔽2)11yescharacteristic
802C22×C73C2×2−1+411yescharacteristic
803C22×C73#58511yescharacteristic
804C22×C73#58511yescharacteristic
805C2×D73—22no—
806C2×D73—22no—
807C2×D73—22no—
808C2×D73—22no—
809C2×D73—22no—
810C2×D73—22no—
811C2×D73—22no—
812C2×D73—22no—
813C2×D73—22no—
814C2×D73—416no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—41no—
819C2×D73—41no—
820C2×D73—41no—
821C2×D73—41no—
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—
854C4×C73—41no—
855Dic73—22no—
856Dic73—22no—
857Dic73—22no—
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×C73C2×#53711yescharacteristic
870C2×C73#348411yescharacteristic
871C2×C73#348711yescharacteristic
872C2×C73#353411yescharacteristic
873C2×C73#353411yescharacteristic
874C2×C73#353511yescharacteristic
875C2×C73#353511yescharacteristic
876D73—24no—
877D73—42no—
878D73—81no—
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#2707D7311yescharacteristic, complemented
889#2705—731no—
890#2705—731no—
891#2705—731no—
892#2705—731no—
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×#126—731no—
918C2×#125—731no—
919C2×#125C2×D7311yescharacteristic, complemented
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#399—731no—
960#398—731no—
961#398—731no—
962#398—731no—
963#398C2×D7311yescharacteristic, complemented
964#397—731no—
965#397C2×D7311yescharacteristic, complemented
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#396C2×D7311yescharacteristic, complemented
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#394—731no—
997#394C2×D7311yescharacteristic
998#393—731no—
999#393—731no—
1000#392—731no—
1001#392—731no—
1002#392—731no—
1003#392—731no—
1004#392—731no—
1005#392—731no—
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#390—731no—
1017#390C2×D7311yescharacteristic
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#388C2×D7311yescharacteristic, complemented
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#386—731no—
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#385C2×D7311yescharacteristic, complemented
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—731no—
1088C22×D4—731no—
1089C22×D4—1464no—
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—1464no—
1106#126—1464no—
1107#125—24no—
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—1464no—
1169C2×C4⋊C4C22×D7311yescharacteristic
1170C2×C4⋊C4C22×D7311yescharacteristic
1171C2×C4⋊C4C22×D7311yescharacteristic
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—731no—
1226C2×C22⋊C4—731no—
1227C2×C22⋊C4—731no—
1228C2×C22⋊C4—1464no—
1229C2×C22⋊C4—1464no—
1230C2×C22⋊C4—1464no—
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#95C22×D7311yescharacteristic
1265#95C22×D7311yescharacteristic
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—731no—
1283C24—1462no—
1284C24—1462no—
1285C24—1462no—
1286C24—1462no—
1287C24—1462no—
1288C24—1462no—
1289C24—1462no—
1290C24—1462no—
1291C24C23×D7311yescharacteristic
1292C24C23×D7311yescharacteristic
1293C2×Q8—2921no—
1294C2×Q8—2921no—
1295C2×Q8—1462no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—41no—
1299C2×D4—2921no—
1300C2×D4—2921no—
1301C2×D4—2921no—
1302C2×D4—2921no—
1303C2×D4—2921no—
1304C2×D4—2921no—
1305C2×D4—2921no—
1306C2×D4—2921no—
1307C2×D4—2921no—
1308C2×D4—2921no—
1309C2×D4—2921no—
1310C2×D4—2921no—
1311C2×D4—2921no—
1312C2×D4—29216no—
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—1462no—
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—2921no—
1358C22×C4—2921no—
1359C22×C4—29216no—
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—1462no—
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×C4C23×D7311yescharacteristic
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—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
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—2921no—
1424C4⋊C4—2921no—
1425C4⋊C4—2921no—
1426C4⋊C4—734no—
1427C4⋊C4—734no—
1428C4⋊C4—734no—
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—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—2921no—
1450C22⋊C4—2921no—
1451C22⋊C4—2921no—
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—1462no—
1471C22⋊C4—1462no—
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—2924no—
1516C23—2924no—
1517C23—2924no—
1518C23—2924no—
1519C23—2924no—
1520C23—2924no—
1521C23—2924no—
1522C23—2924no—
1523C23—2924no—
1524C23—5842no—
1525C23—5842no—
1526C23—5842no—
1527C23—5842no—
1528C23—732no—
1529C23—732no—
1530C23—732no—
1531C23—732no—
1532C23—1468no—
1533C23—1461no—
1534C23—1461no—
1535C23—1461no—
1536C23—1461no—
1537C23—1461no—
1538C23—1461no—
1539C23—1461no—
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—2924no—
1569D4—2924no—
1570D4—2924no—
1571D4—2924no—
1572D4—2924no—
1573D4—5842no—
1574D4—5842no—
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—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—44no—
1619C2×C4—2924no—
1620C2×C4—2924no—
1621C2×C4—2924no—
1622C2×C4—2924no—
1623C2×C4—2924no—
1624C2×C4—2924no—
1625C2×C4—2924no—
1626C2×C4—5842no—
1627C2×C4—5842no—
1628C2×C4—732no—
1629C2×C4—732no—
1630C2×C4—732no—
1631C2×C4—1468no—
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—29216no—
1680C22—2921no—
1681C22—2921no—
1682C22—2921no—
1683C22—2921no—
1684C22—2921no—
1685C22—2921no—
1686C22—2921no—
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#1798942311yescharacteristic
1722C22#1798942411yescharacteristic
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—41no—
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—2922no—
1750C2—5841no—
1751C2—5841no—
1752C2—5841no—
1753C2—1464no—
1754C2#537×D7311yescharacteristic
1755C2#2262356111yescharacteristic
1756C2#2262358811yescharacteristic
1757C2#2262411411yescharacteristic
1758C2#2262411911yescharacteristic
1759C2#2262414211yescharacteristic
1760C2#2262414311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2707C2
hypercenter#2707D73
hypocenterC73#36722
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2707

Complements

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

NH ≅ G/Ntype
1. C2×#17989185C2semidirect
2. C2×#123×D73C2semidirect
3. #22618217C2semidirect
4. #22618214C2semidirect
5. #22616636C2semidirect
6. #22616634C2semidirect
7. #22616628C2semidirect
8. #22616607C2semidirect
9. #22616605C2semidirect
10. #22616603C2semidirect
11. #22616601C2semidirect
12. #22616297C2semidirect
13. #22616296C2semidirect
14. #22616293C2semidirect
15. #22616291C2semidirect
16. #22616288C2semidirect
17. #22616285C2semidirect
18. #22616281C2semidirect
19. #22616276C2semidirect
20. #22615741C2semidirect
21. #22615666C2semidirect
22. #22615282C2semidirect
23. #22615279C2semidirect
24. #22613315C2semidirect
25. #22613315C2semidirect
26. #22613311C2semidirect
27. #22613311C2semidirect
28. #22613285C2semidirect
29. #22613282C2semidirect
30. #22612546C2semidirect
31. C73×#2707C2semidirect
35. C2×#14556586C22semidirect
36. C2×#14556585C22semidirect
37. C2×#14556581C22semidirect
42. C2×#14556576C22semidirect
43. C2×#14556576C22semidirect
50. C2×#14556571C22semidirect
52. C2×#14556569C22semidirect
53. C2×#14556569C22semidirect
54. C2×#14556568C22semidirect
57. C2×#14556566C22semidirect
58. C2×#14556565C22semidirect
75. #17988523C22semidirect
76. #17988522C22semidirect
77. #17988521C22semidirect
78. #17988520C22semidirect
79. #17988519C22semidirect
80. #17988513C22semidirect
81. #17988511C22semidirect
82. #17988511C22semidirect
83. #17988511C22semidirect
84. #17988510C22semidirect
85. #17988510C22semidirect
86. #17988510C22semidirect
87. #17988509C22semidirect
88. #17988509C22semidirect
89. #17988509C22semidirect
90. #17988509C22semidirect
91. #17988509C22semidirect
92. #17988509C22semidirect
93. #17988509C22semidirect
94. #17988505C22semidirect
95. #17988505C22semidirect
96. #17988505C22semidirect
97. #17988505C22semidirect
99. #17988504C22semidirect
100. #17988504C22semidirect
103. #17988503C22semidirect
104. #17988503C22semidirect
105. #17988502C22semidirect
106. #17988502C22semidirect
107. #17988502C22semidirect
108. #17988502C22semidirect
109. #17988500C22semidirect
110. #17988499C22semidirect
112. #17988497C22semidirect
115. #17988496C22semidirect
118. #17988489C22semidirect
119. #17988489C22semidirect
120. #17988488C22semidirect
121. #17988488C22semidirect
124. #17988487C22semidirect
125. #17988487C22semidirect
126. #17988487C22semidirect
127. #17988487C22semidirect
128. #17988486C22semidirect
129. #17988485C22semidirect
130. #17988484C22semidirect
131. #17988484C22semidirect
132. #17988483C22semidirect
133. #17988482C22semidirect
134. #17988482C22semidirect
135. #17988477C22semidirect
136. #17988477C22semidirect
137. #17988476C22semidirect
138. #17988476C22semidirect
139. #17988475C22semidirect
140. #17988475C22semidirect
141. #17988474C22semidirect
142. #17988471C22semidirect
143. #17988470C22semidirect
148. #17988465C22semidirect
149. #17988465C22semidirect
150. #17988464C22semidirect
151. #17988464C22semidirect
154. #17988461C22semidirect
155. #17988461C22semidirect
156. #17988461C22semidirect
157. #17988460C22semidirect
160. #17988458C22semidirect
161. #17988458C22semidirect
162. #17988458C22semidirect
165. #17988446C22semidirect
166. #17988445C22semidirect
169. #17988444C22semidirect
174. C2×#125×C73C22semidirect
176. #398×C73C22semidirect
177. #397×C73C22semidirect
178. #396×C73C22semidirect
179. #396×C73C22semidirect
180. #396×C73C22semidirect
183. #389×C73C22semidirect
184. #388×C73C22semidirect
185. #388×C73C22semidirect
186. #387×C73C22semidirect
187. #385×C73C22semidirect
188. #380×C73C22semidirect
283. C4⋊C4×D73D4semidirect
888. #2707D73semidirect
912. C73#36722semidirect
919. C2×#125C2×D73semidirect
963. #398C2×D73semidirect
965. #397C2×D73semidirect
979. #396C2×D73semidirect
980. #396C2×D73semidirect
981. #396C2×D73semidirect
1025. #389C2×D73semidirect
1032. #388C2×D73semidirect
1033. #388C2×D73semidirect
1037. #387C2×D73semidirect
1057. #385C2×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×#179891852
C2×#123×D732
#226182172
#226182142
#226166362
#226166342
#226166282
#226166072
#226166052
#226166032
#226166012
#226162972
#226162962
#226162932
#226162912
#226162882
#226162852
#226162812
#226162762
#226157412
#226156662
#226152822
#226152792
#226133152
#226133112
#226132852
#226132822
#226125462
C73×#27072
#3672273