Finite Group Databasebeta

← #33971102

Subgroups — #33971102

Order 18688.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623977C211yesmaximal, characteristic, complemented
2#22623415C211yesmaximal, characteristic, complemented
3#22622256C211yesmaximal, characteristic, complemented
4#22622232C211yesmaximal, characteristic, complemented
5#22622212C211yesmaximal, characteristic, complemented
6#22622198C211yesmaximal, characteristic, complemented
7#22622193C211yesmaximal, characteristic, complemented
8#22622158C211yesmaximal, characteristic, complemented
9#22622144C211yesmaximal, characteristic, complemented
10#22621594C211yesmaximal, characteristic, complemented
11#22621589C211yesmaximal, characteristic, complemented
12#22621583C211yesmaximal, characteristic, complemented
13#22621575C211yesmaximal, characteristic, complemented
14#22621574C211yesmaximal, characteristic, complemented
15#22621564C211yesmaximal, characteristic, complemented
16#22621558C211yesmaximal, characteristic, complemented
17#22621529C211yesmaximal, characteristic, complemented
18#22620908C211yesmaximal, characteristic, complemented
19#22620886C211yesmaximal, characteristic, complemented
20#22620775C211yesmaximal, characteristic, complemented
21#22620769C211yesmaximal, characteristic, complemented
22#22620762C211yesmaximal, characteristic, complemented
23#22620760C211yesmaximal, characteristic, complemented
24#22619998C211yesmaximal, characteristic, complemented
25#22619954C211yesmaximal, characteristic, complemented
26#22619192C211yesmaximal, characteristic, complemented
27#22619186C211yesmaximal, characteristic, complemented
28#22619175C211yesmaximal, characteristic, complemented
29#22619174C211yesmaximal, characteristic, complemented
30#22618969C211yesmaximal, characteristic, complemented
31C73×#3323C211yesmaximal, characteristic, complemented
32C22×#11924027C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C2×#14556624C2211yescharacteristic, complemented
35C2×#14556624C2211yescharacteristic, complemented
36C2×#14556623C2211yescharacteristic, complemented
37C2×#14556621C2211yescharacteristic, complemented
38C2×#14556620C2211yescharacteristic, complemented
39C2×#14556620C2211yescharacteristic, complemented
40C2×#14556618C2211yescharacteristic, complemented
41C2×#14556617C2211yescharacteristic, complemented
42#17989305C2211yescharacteristic
43#17989293—21no—
44#17989275C2211yescharacteristic, complemented
45#17989262—21no—
46#17989261—21no—
47#17989255C2211yescharacteristic
48#17989250C2211yescharacteristic
49#17989250C2211yescharacteristic, complemented
50#17989249C2211yescharacteristic, complemented
51#17989246C2211yescharacteristic
52#17989246C2211yescharacteristic, complemented
53#17989245C2211yescharacteristic
54#17989239C2211yescharacteristic
55#17989238C2211yescharacteristic, complemented
56#17989236C2211yescharacteristic
57#17989235—21no—
58#17989232C2211yescharacteristic
59#17989229—21no—
60#17989227—21no—
61#17989226—21no—
62D4×C22⋊D73C2211yescharacteristic
63#17989219—21no—
64#17989203—21no—
65#17989185—21no—
66#17989181—21no—
67#17989141C2211yescharacteristic, complemented
68#17989136C2211yescharacteristic
69#17989132—21no—
70#17989122C2211yescharacteristic, complemented
71#17989100C2211yescharacteristic
72#17989100C2211yescharacteristic, complemented
73#17989099C2211yescharacteristic, complemented
74#17989097C2211yescharacteristic
75#17989095—21no—
76#17989093—21no—
77C2×#14556571C2211yescharacteristic, complemented
78C22⋊Q8×D73C2211yescharacteristic, complemented
79#17989067—21no—
80C4×#11924027C2211yescharacteristic
81C2×#14556551—21no—
82C4×D4×D73C2211yescharacteristic
83#17988971C2211yescharacteristic, complemented
84#17988969C2211yescharacteristic, complemented
85#17988965C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic, complemented
87#17988944C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988931C2211yescharacteristic, complemented
92#17988930C2211yescharacteristic, complemented
93#17988927C2211yescharacteristic, complemented
94#17988922C2211yescharacteristic, complemented
95#17988921C2211yescharacteristic, complemented
96#17988914C2211yescharacteristic, complemented
97#17988911C2211yescharacteristic, complemented
98#17988909C2211yescharacteristic, complemented
99#17988907C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988871C2211yescharacteristic, complemented
102#17988865C2211yescharacteristic, complemented
103#17988846C2211yescharacteristic, complemented
104#17988846C2211yescharacteristic, complemented
105#17988844C2211yescharacteristic, complemented
106#17988843C2211yescharacteristic, complemented
107#17988843C2211yescharacteristic, complemented
108#17988841C2211yescharacteristic, complemented
109#17988838C2211yescharacteristic, complemented
110#17988836C2211yescharacteristic, complemented
111#17988835C2211yescharacteristic, complemented
112#17988834C2211yescharacteristic, complemented
113#17988833C2211yescharacteristic, complemented
114#17988833C2211yescharacteristic, complemented
115#17988832C2211yescharacteristic, complemented
116#17988832C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988806C2211yescharacteristic, complemented
121#17988802C2211yescharacteristic, complemented
122#17988796C2211yescharacteristic, complemented
123#17988796C2211yescharacteristic, complemented
124#17988791C2211yescharacteristic, complemented
125#17988790C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic, complemented
130#17988752C2211yescharacteristic, complemented
131#17988750C2211yescharacteristic
132#17988750C2211yescharacteristic
133#17988750C2211yescharacteristic, complemented
134#17988750C2211yescharacteristic, complemented
135#17988750C2211yescharacteristic, complemented
136#17988750C2211yescharacteristic, complemented
137#17988748C2211yescharacteristic, complemented
138#17988747C2211yescharacteristic, complemented
139#17988747C2211yescharacteristic, complemented
140#17988746C2211yescharacteristic
141#17988746C2211yescharacteristic, complemented
142#17988745C2211yescharacteristic, complemented
143#17988745C2211yescharacteristic, complemented
144#17988744C2211yescharacteristic, complemented
145#17988744C2211yescharacteristic, complemented
146#17988742C2211yescharacteristic, complemented
147#17988741C2211yescharacteristic, complemented
148#17988739C2211yescharacteristic, complemented
149#17988739C2211yescharacteristic, complemented
150#17988738C2211yescharacteristic, complemented
151#17988735C2211yescharacteristic, complemented
152#17988734C2211yescharacteristic, complemented
153#17988734C2211yescharacteristic, complemented
154#17988733C2211yescharacteristic
155#17988733C2211yescharacteristic, complemented
156#17988733C2211yescharacteristic, complemented
157#17988733C2211yescharacteristic, complemented
158#17988732C2211yescharacteristic, complemented
159#17988731C2211yescharacteristic, complemented
160#17988727C2211yescharacteristic, complemented
161#17988725C2211yescharacteristic, complemented
162C4×Dic292C2211yescharacteristic, complemented
163#17988681C2211yescharacteristic, complemented
164C4×#11924018C2211yescharacteristic, complemented
165#17988678C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167C4×#11924016C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988666C2211yescharacteristic, complemented
170#17988665C2211yescharacteristic, complemented
171#17988664C2211yescharacteristic, complemented
172#17988663C2211yescharacteristic
173#17988663C2211yescharacteristic, complemented
174#17988662C2211yescharacteristic
175#17988662C2211yescharacteristic, complemented
176#17988639C2211yescharacteristic, complemented
177#17988638C2211yescharacteristic, complemented
178#17988595C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988590C2211yescharacteristic, complemented
181#17988586C2211yescharacteristic, complemented
182#17988585C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184#17988550C2211yescharacteristic, complemented
185#17988550C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187#17988549C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#488×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202#417×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027—42no—
213C2×#11924027—42no—
214C2×#11924027C2311yescharacteristic
215C2×#11924027C2311yescharacteristic
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218#41×D73—42no—
219#41×D73—42no—
220C22×Dic146C2311yescharacteristic
221C22×Dic146C2311yescharacteristic
222C2×Q8×D73C2311yescharacteristic
223C2×Q8×D73C2311yescharacteristic
224C22×C22⋊D73—21no—
225C22×C22⋊D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73D411yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C23×Dic73—21no—
230C22×C4×D73—21no—
231C22×C4×D73C2311yescharacteristic
232C22×C4×D73C2311yescharacteristic
233#14556624—42no—
234#14556624—42no—
235#14556623—42no—
236#14556621—42no—
237#14556620—42no—
238#14556620—42no—
239#14556618—42no—
240#14556617—42no—
241C2×Dic292C2311yescharacteristic
242C2×Dic292C2311yescharacteristic
243C2×Dic292C2311yescharacteristic
244C2×Dic292C2311yescharacteristic
245C2×#11924018C2311yescharacteristic
246C2×#11924018C2311yescharacteristic
247C2×#11924018C2311yescharacteristic
248C2×#11924018C2311yescharacteristic
249C2×#11924017C2311yescharacteristic
250C2×#11924017C2311yescharacteristic
251C2×#11924017C2311yescharacteristic
252C2×#11924017C2311yescharacteristic
253C2×#11924016C2311yescharacteristic
254C2×#11924016C2311yescharacteristic
255C2×#11924016C2311yescharacteristic
256C2×#11924016C2311yescharacteristic
257C2×#11924015C2311yescharacteristic
258C2×#11924015C2311yescharacteristic
259C2×D584C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262C2×#11924012C2311yescharacteristic
263C2×#11924012C2311yescharacteristic
264C2×#11924011C2311yescharacteristic
265C2×#11924011C2311yescharacteristic
266C2×#11924011C2311yescharacteristic
267C2×#11924011C2311yescharacteristic
268#14556590—21no—
269#14556590—21no—
270#14556590C2311yescharacteristic
271#14556589C2311yescharacteristic
272#14556589C2311yescharacteristic
273#14556587—21no—
274#14556587C2311yescharacteristic
275#14556586—21no—
276#14556586—21no—
277#14556585—21no—
278#14556584—21no—
279#14556582—21no—
280#14556581—21no—
281#14556579—21no—
282#14556579C2311yescharacteristic
283#14556579C2311yescharacteristic
284#14556577—21no—
285#14556577—21no—
286#14556577—21no—
287#14556577—21no—
288#14556576—21no—
289#14556576—21no—
290#14556576—21no—
291#14556576—21no—
292#14556576—21no—
293#14556576—21no—
294#14556575—21no—
295#14556575—21no—
296#14556574—21no—
297#14556574—21no—
298#14556573—21no—
299#14556573—21no—
300#14556572—21no—
301#14556571—21no—
302#14556571—21no—
303#14556571—21no—
304#14556571C2311yescharacteristic
305#14556571C2311yescharacteristic
306#14556571C2311yescharacteristic
307#14556571C2311yescharacteristic
308#14556571C2311yescharacteristic
309#14556571C2311yescharacteristic
310#14556570C2311yescharacteristic
311#14556570C2311yescharacteristic
312#14556569—21no—
313#14556569—21no—
314#14556569—21no—
315#14556569—21no—
316#14556569—21no—
317#14556569—21no—
318#14556569—21no—
319#14556568—21no—
320#14556568—21no—
321#14556568—21no—
322#14556568—21no—
323#14556567C2311yescharacteristic
324#14556567C2311yescharacteristic
325#14556566—21no—
326#14556566C2311yescharacteristic
327#14556566C2311yescharacteristic
328#14556566C2311yescharacteristic
329#14556565—21no—
330#14556565C2311yescharacteristic
331#14556565C2311yescharacteristic
332#14556564—21no—
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556563—21no—
338#14556563—21no—
339#14556563—21no—
340#14556563—21no—
341#14556563—21no—
342#14556562C2311yescharacteristic
343#14556561—21no—
344#14556561—21no—
345#14556561—21no—
346#14556561—21no—
347#14556560—21no—
348#14556559—21no—
349#14556559—21no—
350C4×Dic146—21no—
351C4×Dic146—21no—
352C4×Dic146C2311yescharacteristic
353C4×Dic146C2311yescharacteristic
354#14556556C2311yescharacteristic
355#14556556C2311yescharacteristic
356C4×D292—21no—
357C4×D292—21no—
358C4×D292—21no—
359C4×D292C2311yescharacteristic
360D4×Dic73—21no—
361D4×Dic73D411yescharacteristic
362D4×Dic73C2311yescharacteristic
363#14556553—21no—
364#14556553—21no—
365#14556553—21no—
366#14556553D411yescharacteristic
367#14556553C2311yescharacteristic
368C4×C22⋊D73—21no—
369C4×C22⋊D73C2311yescharacteristic
370C4×C22⋊D73C2311yescharacteristic
371#14556551—21no—
372#14556551—21no—
373#14556551—21no—
374#14556551—21no—
375#14556551—21no—
376#14556551—21no—
377#14556551—21no—
378#14556551—21no—
379#14556551—21no—
380#14556551—21no—
381#14556551—21no—
382#14556551—21no—
383#14556551D411yescharacteristic
384#14556551D411yescharacteristic
385#14556549—21no—
386#14556549—21no—
387#14556549C2311yescharacteristic
388#14556549C2311yescharacteristic
389#14556548—21no—
390#14556547—21no—
391C2×C4⋊Dic73—21no—
392C2×#11924007—21no—
393C4⋊C4×D73—21no—
394C4⋊C4×D73—21no—
395C4⋊C4×D73D411yescharacteristic
396C4⋊C4×D73C2311yescharacteristic
397C2×#11924005—21no—
398C2×#11924005—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73D411yescharacteristic
401C22⋊C4×D73D411yescharacteristic
402C2×C4×Dic73—21no—
403C42×D73C2311yescharacteristic
404#14556525C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556516C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556513C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444C4×#10596831C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449C2×Q16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×M16×C73C2311yescharacteristic
453C2×M16×C73C2311yescharacteristic
454#126×C73—21no—
455#125×C73—21no—
456#125×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#123×C73—21no—
459#123×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic
462C22⋊Q8×C73C2311yescharacteristic
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#120×C73—21no—
466C4×Q8×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469#117×C73—21no—
470#117×C73C2311yescharacteristic
471C2×C4⋊C4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473#107×C73C2311yescharacteristic
474#106×C73C2311yescharacteristic
475#106×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73C2×D411yescharacteristic
492C23×D73C2×D411yescharacteristic
493#11924029—41no—
494#11924029—41no—
495#11924029—41no—
496#11924029—41no—
497#11924028—22no—
498#11924028—41no—
499#11924028—41no—
500#11924028—41no—
501#11924028—44no—
502#11924028—44no—
503#11924027—22no—
504#11924027—22no—
505#11924027—22no—
506#11924027—22no—
507#11924027—41no—
508#11924027—41no—
509#11924027—41no—
510#11924027—41no—
511#11924027—44no—
512#11924027—44no—
513#11924027—44no—
514C2×Dic146—22no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146—21no—
519C2×Dic146—21no—
520C2×Dic146—41no—
521C2×Dic146—41no—
522C2×Dic146—41no—
523C2×Dic146C2411yescharacteristic
524C2×Dic146C2411yescharacteristic
525C2×Dic146C2411yescharacteristic
526C2×Dic146C2411yescharacteristic
527Q8×D73—22no—
528Q8×D73—41no—
529Q8×D73—41no—
530Q8×D73—41no—
531C2×D292—21no—
532C2×D292—21no—
533C2×D292—21no—
534C2×D292—21no—
535C2×D292—21no—
536C2×D292C2×D411yescharacteristic
537C2×D292C2411yescharacteristic
538C2×D292C2411yescharacteristic
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—44no—
552C2×C22⋊D73—44no—
553C2×C22⋊D73C2×D411yescharacteristic
554C2×C22⋊D73C2×D411yescharacteristic
555D4×D73—22no—
556D4×D73—41no—
557D4×D73—42no—
558D4×D73—44no—
559C22×Dic73—21no—
560C22×Dic73—21no—
561C22×Dic73—21no—
562C22×Dic73—21no—
563C22×Dic73—21no—
564C22×Dic73—21no—
565C22×Dic73—21no—
566C22×Dic73—44no—
567C22×Dic73C2×D411yescharacteristic
568C22×Dic73C2×D411yescharacteristic
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—41no—
578C2×C4×D73—41no—
579C2×C4×D73—41no—
580C2×C4×D73—41no—
581C2×C4×D73—44no—
582C2×C4×D73C2×D411yescharacteristic
583C2×C4×D73C2×D411yescharacteristic
584C2×C4×D73C2×D411yescharacteristic
585C2×C4×D73C2×D411yescharacteristic
586C2×C4×D73C2×D411yescharacteristic
587C2×C4×D73C2×D411yescharacteristic
588C2×C4×D73C2411yescharacteristic
589C2×C4×D73C2411yescharacteristic
590C2×C4×D73C2411yescharacteristic
591Dic292—22no—
592Dic292—22no—
593Dic292—41no—
594Dic292—41no—
595#11924018—22no—
596#11924018—41no—
597#11924018—41no—
598#11924018—41no—
599#11924017—22no—
600#11924017—41no—
601#11924017—41no—
602#11924017—41no—
603#11924016—22no—
604#11924016—22no—
605#11924016—41no—
606#11924016—41no—
607#11924015—41no—
608#11924015—41no—
609D584—41no—
610#11924013—22no—
611#11924013—41no—
612#11924012—41no—
613#11924012—41no—
614#11924011—41no—
615#11924011—41no—
616#11924011—41no—
617#11924011—41no—
618C2×#10596831C2411yescharacteristic
619C2×#10596831C2411yescharacteristic
620C2×#10596831C2411yescharacteristic
621C2×#10596831C2411yescharacteristic
622C4⋊Dic73—21no—
623C4⋊Dic73—21no—
624C4⋊Dic73—21no—
625C4⋊Dic73—21no—
626C4⋊Dic73—21no—
627C4⋊Dic73—21no—
628C4⋊Dic73C2×D411yescharacteristic
629C4⋊Dic73C2411yescharacteristic
630C4⋊Dic73C2411yescharacteristic
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007—21no—
639#11924007—21no—
640#11924007—21no—
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007—21no—
645#11924007C2×D411yescharacteristic
646#11924007C2×D411yescharacteristic
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73C2×D411yescharacteristic
652C22⋊Dic73C2×D411yescharacteristic
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005C2×D411yescharacteristic
674#11924005C2×D411yescharacteristic
675#11924005C2×D411yescharacteristic
676#11924005C2×D411yescharacteristic
677C4×Dic73—21no—
678C4×Dic73—21no—
679C4×Dic73—21no—
680C4×Dic73—21no—
681C4×Dic73—21no—
682C4×Dic73—21no—
683C4×Dic73C2×D411yescharacteristic
684C4×Dic73C2×D411yescharacteristic
685C4×Dic73C2411yescharacteristic
686C24×C73—21no—
687#41×C73—22no—
688#41×C73—41no—
689C2×Q8×C73C2411yescharacteristic
690C2×Q8×C73C2411yescharacteristic
691C2×D4×C73—22no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—41no—
696C2×D4×C73C2×D411yescharacteristic
697C2×D4×C73C2411yescharacteristic
698C2×D4×C73C2411yescharacteristic
699C22×C4×C73—21no—
700C22×C4×C73—21no—
701C22×C4×C73—21no—
702C22×C4×C73C2411yescharacteristic
703C22×C4×C73C2411yescharacteristic
704Q16×C73—41no—
705SD16×C73—22no—
706SD16×C73—41no—
707M16×C73—41no—
708M16×C73—41no—
709C2×C8×C73C2411yescharacteristic
710C2×C8×C73C2411yescharacteristic
711C2×C8×C73C2411yescharacteristic
712C2×C8×C73C2411yescharacteristic
713C4⋊C4×C73—21no—
714C4⋊C4×C73—21no—
715C4⋊C4×C73—21no—
716C4⋊C4×C73—21no—
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73C2×D411yescharacteristic
721C4⋊C4×C73C2411yescharacteristic
722C4⋊C4×C73C2411yescharacteristic
723C4⋊C4×C73C2411yescharacteristic
724C4⋊C4×C73C2411yescharacteristic
725C22⋊C4×C73—21no—
726C22⋊C4×C73—21no—
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73C2×D411yescharacteristic
734C22⋊C4×C73C2×D411yescharacteristic
735C42×C73—21no—
736C42×C73—21no—
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—42no—
741C23×C73—42no—
742C23×C73—81no—
743C23×C73C22×D411yescharacteristic
744C23×C73C22×D411yescharacteristic
745C22×D73—21no—
746C22×D73—21no—
747C22×D73—41no—
748C22×D73—41no—
749C22×D73—41no—
750C22×D73—41no—
751C22×D73—41no—
752C22×D73—41no—
753C22×D73—42no—
754C22×D73—42no—
755C22×D73—81no—
756C22×D73C22×D411yescharacteristic
757C22×D73C22×D411yescharacteristic
758C22×D73C22×D411yescharacteristic
759Q8×C73—21no—
760Q8×C73—21no—
761Q8×C73—21no—
762Q8×C73—21no—
763D4×C73—21no—
764D4×C73—21no—
765D4×C73—21no—
766D4×C73—41no—
767D4×C73—42no—
768D4×C73—42no—
769D4×C73—81no—
770D4×C73H(5,𝔽2)12yes—
771C2×C4×C73—21no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—42no—
782C2×C4×C73—42no—
783C2×C4×C73—81no—
784C2×C4×C73C22×D411yescharacteristic
785C2×C4×C73C22×D411yescharacteristic
786C2×C4×C73C22×D411yescharacteristic
787C2×C4×C73C22×D411yescharacteristic
788C2×C4×C73C2511yescharacteristic
789C22⋊D73—24no—
790C22⋊D73—22no—
791C22⋊D73—22no—
792C22⋊D73—42no—
793C22⋊D73—42no—
794C22⋊D73—42no—
795C22⋊D73—42no—
796C22⋊D73—42no—
797C22⋊D73—42no—
798C22⋊D73—42no—
799C22⋊D73—42no—
800C22⋊D73—42no—
801C22⋊D73—81no—
802C22⋊D73—81no—
803C2×Dic73—24no—
804C2×Dic73—21no—
805C2×Dic73—21no—
806C2×Dic73—21no—
807C2×Dic73—21no—
808C2×Dic73—21no—
809C2×Dic73—21no—
810C2×Dic73—41no—
811C2×Dic73—41no—
812C2×Dic73—42no—
813C2×Dic73—42no—
814C2×Dic73—42no—
815C2×Dic73—42no—
816C2×Dic73—42no—
817C2×Dic73—81no—
818C2×Dic73C22×D411yescharacteristic
819C2×Dic73C22×D411yescharacteristic
820C2×Dic73C22×D411yescharacteristic
821C2×Dic73C22×D411yescharacteristic
822C2×Dic73C22×D411yescharacteristic
823D292—21no—
824D292—21no—
825D292—21no—
826D292—21no—
827D292—41no—
828D292—42no—
829D292—42no—
830D292—42no—
831D292—81no—
832D292—81no—
833C4×D73—21no—
834C4×D73—21no—
835C4×D73—21no—
836C4×D73—21no—
837C4×D73—21no—
838C4×D73—21no—
839C4×D73—22no—
840C4×D73—41no—
841C4×D73—41no—
842C4×D73—41no—
843C4×D73—41no—
844C4×D73—41no—
845C4×D73—42no—
846C4×D73—42no—
847C4×D73—42no—
848C4×D73—42no—
849C4×D73—42no—
850C4×D73—81no—
851C4×D73—81no—
852C4×D73—81no—
853Dic146—21no—
854Dic146—21no—
855Dic146—21no—
856Dic146—21no—
857Dic146—21no—
858Dic146—21no—
859Dic146—21no—
860Dic146—42no—
861Dic146—42no—
862Dic146—42no—
863Dic146—81no—
864Dic146—81no—
865Dic146H(5,𝔽2)12yes—
866C8×C73—21no—
867C8×C73—21no—
868C8×C73—21no—
869C8×C73—21no—
870#10596831—21no—
871#10596831—21no—
872#10596831—21no—
873#10596831—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—22no—
877C22×C73—21no—
878C22×C73—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—41no—
886C22×C73—84no—
887C22×C73C23×D411yescharacteristic
888C2×D73—21no—
889C2×D73—21no—
890C2×D73—21no—
891C2×D73—21no—
892C2×D73—21no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—21no—
897C2×D73—41no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—82no—
904C2×D73—82no—
905C2×D73—84no—
906C4×C73—21no—
907C4×C73—21no—
908C4×C73—21no—
909C4×C73—21no—
910C4×C73—41no—
911C4×C73—41no—
912C4×C73—41no—
913C4×C73—41no—
914C4×C73—41no—
915C4×C73—41no—
916C4×C73C2×H(5,𝔽2)11yescharacteristic
917C4×C73C2×H(5,𝔽2)11yescharacteristic
918Dic73—21no—
919Dic73—22no—
920Dic73—21no—
921Dic73—21no—
922Dic73—21no—
923Dic73—41no—
924Dic73—41no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928Dic73#57512yes—
929#61589—731nomaximal, Sylow
930C2×C73—41no—
931C2×C73—41no—
932C2×C73—42no—
933C2×C73—81no—
934C2×C73#348411yescharacteristic
935C2×C73C2×#57511yescharacteristic
936C2×C73#358611yescharacteristic
937D73—41no—
938D73—41no—
939D73—41no—
940D73—81no—
941D73—81no—
942#3520—731no—
943D4×#41—731no—
944#3332—731no—
945#3330—731no—
946#3328—731no—
947#3327—731no—
948#3327—731no—
949#3324—731no—
950#3323—731no—
951#3323D7311yescharacteristic, complemented
952#3278—731no—
953#3277—731no—
954#3277—731no—
955#3276—731no—
956#3276—731no—
957#3275—731no—
958#3275—731no—
959#3272—731no—
960#3212—731no—
961#3210—731no—
962#3197—731no—
963#3197—731no—
964#3196—731no—
965#3196—731no—
966#3107—731no—
967#3102—731no—
968#3007—731no—
969#3007—731no—
970#3005—731no—
971#3005—731no—
972#2975—731no—
973C73#6158911yescharacteristic, complemented, Sylow
974C22×#41—731no—
975C22×#41—731no—
976C2×#137—731no—
977C2×#137—731no—
978C2×#137—731no—
979C2×#137—731no—
980C2×#137—731no—
981C2×#137—731no—
982C2×AGL(1,ℤ/8)—731no—
983C2×AGL(1,ℤ/8)—731no—
984#556—731no—
985#554—1461no—
986#552—731no—
987#552C2×D7311yescharacteristic, complemented
988#551—1461no—
989#551—1461no—
990#550—731no—
991D4×Q8—731no—
992D4×Q8—731no—
993#548—731no—
994#548—731no—
995#548—731no—
996#548—731no—
997#547—731no—
998#547—731no—
999#547—731no—
1000#547—1461no—
1001#546—731no—
1002#546—1461no—
1003#546—1461no—
1004#546—1461no—
1005#546C2×D7311yescharacteristic
1006D42—731no—
1007D42—1461no—
1008#542—1461no—
1009#539—1461no—
1010#539—1461no—
1011#533—731no—
1012#532—731no—
1013#532—1461no—
1014#529—731no—
1015#525—731no—
1016#525—731no—
1017#525—731no—
1018#525—731no—
1019#525—1461no—
1020#525—1461no—
1021C2×C22⋊Q8—731no—
1022C2×C22⋊Q8—731no—
1023#520—1461no—
1024C4×#41—731no—
1025C2×C4×D4—731no—
1026C2×C4×D4—1461no—
1027#495—731no—
1028#495—731no—
1029#494—731no—
1030#492—731no—
1031#488—731no—
1032#488C2×D7311yescharacteristic, complemented
1033#487—731no—
1034#486—731no—
1035#485—731no—
1036#485—731no—
1037#485—731no—
1038#485—731no—
1039#485C2×D7311yescharacteristic, complemented
1040#484—731no—
1041#484—731no—
1042#482—731no—
1043#482—731no—
1044#482—731no—
1045#481—731no—
1046#481C2×D7311yescharacteristic, complemented
1047#479—731no—
1048#478C2×D7311yescharacteristic, complemented
1049#475—731no—
1050#474—731no—
1051#470—731no—
1052#470—731no—
1053#470—731no—
1054#470—731no—
1055#470—731no—
1056#470C2×D7311yescharacteristic, complemented
1057#469—731no—
1058#469—731no—
1059#468—731no—
1060#468—731no—
1061#468—731no—
1062#468—731no—
1063#468—731no—
1064#468—731no—
1065#468—731no—
1066#468C2×D7311yescharacteristic, complemented
1067#464—731no—
1068#464—731no—
1069#464—731no—
1070#464—731no—
1071#464C2×D7311yescharacteristic, complemented
1072#463—731no—
1073#462—731no—
1074#462—731no—
1075#461—731no—
1076#461—731no—
1077#460—731no—
1078#459—731no—
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#452—731no—
1084#452—731no—
1085#452—731no—
1086#452—731no—
1087#452—731no—
1088#452—731no—
1089#452—731no—
1090#452—731no—
1091#452—731no—
1092#452—731no—
1093#452C2×D7311yescharacteristic, complemented
1094#451—731no—
1095#451—731no—
1096#451—731no—
1097#451—731no—
1098#451—731no—
1099#451—731no—
1100#450—731no—
1101#450—731no—
1102#450—731no—
1103#450C2×D7311yescharacteristic, complemented
1104#449—731no—
1105#449—731no—
1106#449—731no—
1107#449—731no—
1108#449—731no—
1109#449—731no—
1110#449—731no—
1111#449—731no—
1112#449—731no—
1113#448—731no—
1114#448—731no—
1115C4×Q16—731no—
1116C4×Q16—731no—
1117C4×Q16—731no—
1118C4×SD16—731no—
1119C4×SD16—731no—
1120C4×SD16—731no—
1121C4×SD16C2×D7311yescharacteristic, complemented
1122C4×D8—731no—
1123#436—731no—
1124#436—731no—
1125#436—731no—
1126#436—731no—
1127#436—731no—
1128#436—731no—
1129#436—731no—
1130#436C2×D7311yescharacteristic, complemented
1131#431—731no—
1132#431—731no—
1133#419—731no—
1134#419—731no—
1135#418—731no—
1136#418C2×D7311yescharacteristic, complemented
1137#417—731no—
1138#417—731no—
1139#417—731no—
1140#417C2×D7311yescharacteristic, complemented
1141#407—731no—
1142#407—731no—
1143#407—731no—
1144#407—731no—
1145C2×#41—2922no—
1146C2×#41—2922no—
1147C2×#41—2922no—
1148C2×#41—2922no—
1149C2×#41—731no—
1150C2×#41—731no—
1151C2×#41—731no—
1152C2×#41—731no—
1153C2×#41—731no—
1154C2×#41—731no—
1155C2×#41—731no—
1156C2×#41—731no—
1157C2×#41—1461no—
1158C2×#41—1461no—
1159C2×#41—1461no—
1160C2×#41—1461no—
1161C2×#41—1461no—
1162C2×#41C22×D7311yescharacteristic
1163C22×Q8—731no—
1164C22×Q8—731no—
1165C22×Q8—731no—
1166C22×Q8—731no—
1167C22×D4—731no—
1168C22×D4—731no—
1169C22×D4—1461no—
1170C22×D4—1461no—
1171C22×D4—1461no—
1172C22×D4C22×D7311yescharacteristic
1173C23×C4—731no—
1174C23×C4—731no—
1175C23×C4—1461no—
1176C23×C4—1461no—
1177#137—2922no—
1178#137—2922no—
1179#137—2922no—
1180#137—2922no—
1181#137—2922no—
1182#137—2922no—
1183AGL(1,ℤ/8)—2922no—
1184AGL(1,ℤ/8)—2922no—
1185C2×Q16—731no—
1186C2×Q16—731no—
1187C2×Q16—731no—
1188C2×Q16—731no—
1189C2×Q16—731no—
1190C2×Q16—731no—
1191C2×Q16—731no—
1192C2×Q16—731no—
1193C2×Q16C22×D7311yescharacteristic
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16—731no—
1197C2×SD16—731no—
1198C2×SD16—731no—
1199C2×SD16—731no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16C22×D7311yescharacteristic
1205C2×SD16C22×D7311yescharacteristic
1206C2×D8—731no—
1207C2×D8—731no—
1208C2×D8—731no—
1209C2×M16—731no—
1210C2×M16—731no—
1211C2×M16—731no—
1212C2×M16—731no—
1213C2×M16—731no—
1214C2×M16—731no—
1215C2×M16C22×D7311yescharacteristic
1216C2×M16C22×D7311yescharacteristic
1217C4⋊Q8—731no—
1218C4⋊Q8—731no—
1219C4⋊Q8—731no—
1220C4⋊Q8—1461no—
1221C4⋊Q8—1461no—
1222#127—731no—
1223#127—1461no—
1224#126—21no—
1225#126—1461no—
1226#126—1461no—
1227#126—1461no—
1228#126—1461no—
1229#125—21no—
1230#125—1461no—
1231#125—1461no—
1232#125C22×D7311yescharacteristic
1233#124—731no—
1234#124—731no—
1235#124—1461no—
1236#124—1461no—
1237#124—1461no—
1238#124—1461no—
1239#124—1461no—
1240#124C22×D7311yescharacteristic
1241#123—21no—
1242#123—21no—
1243#123—1461no—
1244#123—1461no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254#123—1461no—
1255#123—1461no—
1256C22⋊Q8—731no—
1257C22⋊Q8—731no—
1258C22⋊Q8—731no—
1259C22⋊Q8—731no—
1260C22⋊Q8—731no—
1261C22⋊Q8—731no—
1262C22⋊Q8—731no—
1263C22⋊Q8—731no—
1264C22⋊Q8—731no—
1265C22⋊Q8—731no—
1266C22⋊Q8—1461no—
1267C22⋊Q8—1461no—
1268C22⋊Q8—1461no—
1269C22⋊Q8—1461no—
1270C22⋊Q8—1461no—
1271C22⋊Q8—1461no—
1272C22⋊Q8—1461no—
1273C22⋊Q8—1461no—
1274C22⋊Q8—1461no—
1275C22⋊Q8—1461no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8C22×D7311yescharacteristic
1281C22⋊Q8C22×D7311yescharacteristic
1282C22⋊Q8C22×D7311yescharacteristic
1283#121—21no—
1284#121—731no—
1285#121—731no—
1286#121—731no—
1287#121—731no—
1288#121—731no—
1289#121—731no—
1290#121—1461no—
1291#121—1461no—
1292#121—1461no—
1293#121—1461no—
1294#121—1461no—
1295#121—1461no—
1296#121—1461no—
1297#121—1461no—
1298#121—1461no—
1299#121—1461no—
1300#121—1461no—
1301#121—1461no—
1302#121C22×D7311yescharacteristic
1303#120—21no—
1304#120—1461no—
1305#120—1461no—
1306#120—1461no—
1307#120—1461no—
1308#120—1461no—
1309#120—1461no—
1310#120—1461no—
1311C4×Q8—731no—
1312C4×Q8—731no—
1313C4×Q8—731no—
1314C4×Q8—731no—
1315C4×Q8—1461no—
1316C4×Q8—1461no—
1317C4×Q8C22×D7311yescharacteristic
1318C4×D4—731no—
1319C4×D4—731no—
1320C4×D4—731no—
1321C4×D4—731no—
1322C4×D4—731no—
1323C4×D4—731no—
1324C4×D4—731no—
1325C4×D4—731no—
1326C4×D4—731no—
1327C4×D4—1461no—
1328C4×D4—1461no—
1329C4×D4—1461no—
1330C4×D4—1461no—
1331C4×D4—1461no—
1332C4×D4—1461no—
1333C4×D4—1461no—
1334C4×D4—1461no—
1335C4×D4—1461no—
1336C4×D4—1461no—
1337C4×D4—1461no—
1338C4×D4—1461no—
1339C4×D4—1461no—
1340C4×D4—1461no—
1341C4×D4—1461no—
1342C4×D4—1461no—
1343C4×D4—1461no—
1344C4×D4—1461no—
1345C4×D4—1461no—
1346C4×D4—1461no—
1347C4×D4C22×D7311yescharacteristic
1348C4×D4C22×D7311yescharacteristic
1349#117—21no—
1350#117—731no—
1351#117—731no—
1352#117—1461no—
1353#117—1461no—
1354#117—1461no—
1355#117—1461no—
1356#117C22×D7311yescharacteristic
1357C2×C4⋊C4—731no—
1358C2×C4⋊C4—731no—
1359C2×C4⋊C4—1461no—
1360C2×C4⋊C4—1461no—
1361C2×C4⋊C4—1461no—
1362C2×C4⋊C4—1461no—
1363C2×C4⋊C4C22×D7311yescharacteristic
1364C2×C22⋊C4—21no—
1365C2×C22⋊C4—731no—
1366C2×C22⋊C4—731no—
1367C2×C22⋊C4—1461no—
1368C2×C22⋊C4—1461no—
1369C2×C22⋊C4—1461no—
1370C2×C42—731no—
1371C2×C42—1461no—
1372#107—731no—
1373#107—731no—
1374#107—731no—
1375#107C22×D7311yescharacteristic
1376#106—731no—
1377#106—731no—
1378#106C22×D7311yescharacteristic
1379#106C22×D7311yescharacteristic
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8—731no—
1383C4⋊C8C22×D7311yescharacteristic
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103C22×D7311yescharacteristic
1399#103C22×D7311yescharacteristic
1400#103C22×D7311yescharacteristic
1401#103C22×D7311yescharacteristic
1402#102—731no—
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102C22×D7311yescharacteristic
1411#102C22×D7311yescharacteristic
1412#102C22×D7311yescharacteristic
1413#102C22×D7311yescharacteristic
1414#102C22×D7311yescharacteristic
1415#102C22×D7311yescharacteristic
1416C22⋊C8—731no—
1417C22⋊C8—731no—
1418C22⋊C8—731no—
1419C22⋊C8—731no—
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8—731no—
1424C22⋊C8—731no—
1425C22⋊C8—731no—
1426C22⋊C8C22×D7311yescharacteristic
1427C22⋊C8C22×D7311yescharacteristic
1428C4×C8—731no—
1429C4×C8—731no—
1430C4×C8—731no—
1431C4×C8C22×D7311yescharacteristic
1432C24—21no—
1433C24—731no—
1434C24—731no—
1435C24—1461no—
1436#41—22no—
1437#41—41no—
1438#41—2921no—
1439#41—2921no—
1440#41—2921no—
1441#41—2924no—
1442#41—2924no—
1443#41—2924no—
1444#41—2921no—
1445#41—2921no—
1446#41—2921no—
1447#41—2921no—
1448#41—2924no—
1449#41—2924no—
1450#41—2921no—
1451#41—2921no—
1452#41—2921no—
1453#41—2921no—
1454#41—1462no—
1455#41—1462no—
1456#41—1462no—
1457#41—1462no—
1458#41—1462no—
1459C2×Q8—2921no—
1460C2×Q8—2921no—
1461C2×Q8—2921no—
1462C2×Q8—2921no—
1463C2×Q8—2921no—
1464C2×Q8—2921no—
1465C2×Q8—731no—
1466C2×Q8—731no—
1467C2×Q8—731no—
1468C2×Q8—731no—
1469C2×Q8—1462no—
1470C2×Q8—1461no—
1471C2×Q8—1461no—
1472C2×Q8—1461no—
1473C2×Q8—1462no—
1474C2×Q8—1461no—
1475C2×Q8—1461no—
1476C2×Q8C23×D7311yescharacteristic
1477C2×Q8C23×D7311yescharacteristic
1478C2×D4—22no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—41no—
1483C2×D4—2924no—
1484C2×D4—2924no—
1485C2×D4—2924no—
1486C2×D4—2921no—
1487C2×D4—2922no—
1488C2×D4—731no—
1489C2×D4—731no—
1490C2×D4—731no—
1491C2×D4—731no—
1492C2×D4—731no—
1493C2×D4—1461no—
1494C2×D4—1461no—
1495C2×D4—1461no—
1496C2×D4—1461no—
1497C2×D4—1461no—
1498C2×D4—1461no—
1499C2×D4—1461no—
1500C2×D4—1461no—
1501C2×D4—1461no—
1502C2×D4—1461no—
1503C2×D4—1461no—
1504C2×D4—1461no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1462no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4D4×D7311yescharacteristic
1512C2×D4C23×D7311yescharacteristic
1513C2×D4C23×D7311yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—2921no—
1518C22×C4—2921no—
1519C22×C4—2921no—
1520C22×C4—2921no—
1521C22×C4—2924no—
1522C22×C4—2924no—
1523C22×C4—731no—
1524C22×C4—731no—
1525C22×C4—731no—
1526C22×C4—731no—
1527C22×C4—731no—
1528C22×C4—731no—
1529C22×C4—731no—
1530C22×C4—731no—
1531C22×C4—731no—
1532C22×C4—731no—
1533C22×C4—731no—
1534C22×C4—1461no—
1535C22×C4—1461no—
1536C22×C4—1461no—
1537C22×C4—1461no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4C23×D7311yescharacteristic
1550C22×C4C23×D7311yescharacteristic
1551Q16—41no—
1552Q16—2921no—
1553Q16—2921no—
1554Q16—2921no—
1555Q16—2921no—
1556Q16—2921no—
1557Q16—1462no—
1558Q16—1462no—
1559Q16—1462no—
1560SD16—22no—
1561SD16—41no—
1562SD16—2921no—
1563SD16—2921no—
1564SD16—2921no—
1565SD16—2921no—
1566SD16—2921no—
1567SD16—2921no—
1568SD16—2921no—
1569SD16—1462no—
1570SD16—1462no—
1571SD16—1462no—
1572D8—2921no—
1573D8—2921no—
1574D8—1462no—
1575M16—41no—
1576M16—41no—
1577M16—2921no—
1578M16—2921no—
1579M16—2921no—
1580M16—2921no—
1581M16—2921no—
1582M16—2921no—
1583C2×C8—731no—
1584C2×C8—731no—
1585C2×C8—731no—
1586C2×C8—731no—
1587C2×C8C23×D7311yescharacteristic
1588C2×C8C23×D7311yescharacteristic
1589C2×C8C23×D7311yescharacteristic
1590C2×C8C23×D7311yescharacteristic
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—731no—
1599C4⋊C4—731no—
1600C4⋊C4—731no—
1601C4⋊C4—731no—
1602C4⋊C4—731no—
1603C4⋊C4—1461no—
1604C4⋊C4—1461no—
1605C4⋊C4—1461no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4D4×D7311yescharacteristic
1624C4⋊C4C23×D7311yescharacteristic
1625C4⋊C4C23×D7311yescharacteristic
1626C4⋊C4C23×D7311yescharacteristic
1627C4⋊C4C23×D7311yescharacteristic
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—731no—
1637C22⋊C4—731no—
1638C22⋊C4—731no—
1639C22⋊C4—731no—
1640C22⋊C4—731no—
1641C22⋊C4—731no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4D4×D7311yescharacteristic
1667C22⋊C4D4×D7311yescharacteristic
1668C42—21no—
1669C42—21no—
1670C42—731no—
1671C42—731no—
1672C42—731no—
1673C42—1461no—
1674C42—1461no—
1675C42—1461no—
1676C42—1461no—
1677C42—1461no—
1678C42—1461no—
1679C42C23×D7311yescharacteristic
1680C23—21no—
1681C23—21no—
1682C23—42no—
1683C23—42no—
1684C23—81no—
1685C23—2922no—
1686C23—2921no—
1687C23—2921no—
1688C23—2921no—
1689C23—2921no—
1690C23—2921no—
1691C23—2921no—
1692C23—2922no—
1693C23—5841no—
1694C23—731no—
1695C23—731no—
1696C23—731no—
1697C23—1461no—
1698C23—1461no—
1699C23C2×D4×D7311yescharacteristic
1700C23C2×D4×D7311yescharacteristic
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—2922no—
1706Q8—2922no—
1707Q8—2922no—
1708Q8—5841no—
1709Q8—5841no—
1710Q8—732no—
1711Q8—1461no—
1712Q8—1461no—
1713Q8—1461no—
1714Q8—1461no—
1715Q8—1461no—
1716Q8—1461no—
1717Q8—1461no—
1718D4—21no—
1719D4—21no—
1720D4—21no—
1721D4—41no—
1722D4—42no—
1723D4—42no—
1724D4—81no—
1725D4—2921no—
1726D4—2922no—
1727D4—2922no—
1728D4—2922no—
1729D4—2922no—
1730D4—2922no—
1731D4—2922no—
1732D4—2922no—
1733D4—2922no—
1734D4—2922no—
1735D4—2922no—
1736D4—2922no—
1737D4—2922no—
1738D4—5841no—
1739D4—5841no—
1740D4—5841no—
1741D4—5841no—
1742D4—1462no—
1743D4—1462no—
1744D4—1464no—
1745D4—1461no—
1746D4—1461no—
1747D4—1461no—
1748D4—1461no—
1749D4#1455663712yes—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—42no—
1761C2×C4—42no—
1762C2×C4—81no—
1763C2×C4—2922no—
1764C2×C4—2921no—
1765C2×C4—2921no—
1766C2×C4—2921no—
1767C2×C4—2921no—
1768C2×C4—2921no—
1769C2×C4—2922no—
1770C2×C4—2922no—
1771C2×C4—2922no—
1772C2×C4—2922no—
1773C2×C4—2922no—
1774C2×C4—2922no—
1775C2×C4—2922no—
1776C2×C4—2922no—
1777C2×C4—2921no—
1778C2×C4—2921no—
1779C2×C4—2922no—
1780C2×C4—5841no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—731no—
1785C2×C4—731no—
1786C2×C4—731no—
1787C2×C4—731no—
1788C2×C4—731no—
1789C2×C4—1462no—
1790C2×C4—1461no—
1791C2×C4—1461no—
1792C2×C4—1461no—
1793C2×C4—1461no—
1794C2×C4—1461no—
1795C2×C4—1464no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1461no—
1802C2×C4—1461no—
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C2×D4×D7311yescharacteristic
1806C2×C4C2×D4×D7311yescharacteristic
1807C2×C4C24×D7311yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—1461no—
1813C8—1461no—
1814C8—1461no—
1815C8—1461no—
1816C22—21no—
1817C22—21no—
1818C22—22no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—84no—
1829C22—2921no—
1830C22—2921no—
1831C22—2921no—
1832C22—2921no—
1833C22—2921no—
1834C22—2921no—
1835C22—5842no—
1836C22—5842no—
1837C22—5844no—
1838C22—1461no—
1839C22—1461no—
1840C22—1461no—
1841C22—1461no—
1842C22—1461no—
1843C22—1461no—
1844C22—1461no—
1845C22—1461no—
1846C22—1461no—
1847C22C22×D4×D7311yescharacteristic
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—21no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—2921no—
1859C4—2921no—
1860C4—2921no—
1861C4—2921no—
1862C4—2921no—
1863C4—732no—
1864C4—1461no—
1865C4—1461no—
1866C4—1462no—
1867C4—1461no—
1868C4—1461no—
1869C4H(5,𝔽2)×D7311yescharacteristic
1870C4C2×#1455663711yescharacteristic
1871C2—41no—
1872C2—41no—
1873C2—42no—
1874C2—81no—
1875C2—2921no—
1876C2—2921no—
1877C2—2921no—
1878C2—5841no—
1879C2—5841no—
1880C2#2262356111yescharacteristic
1881C2#575×D7311yescharacteristic
1882C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3323C2
socleC22×C73C23×D4
hypercenter#3323D73
hypocenterC73#61589
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3323

Complements

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

NH ≅ G/Ntype
1. #22623977C2semidirect
2. #22623415C2semidirect
3. #22622256C2semidirect
4. #22622232C2semidirect
5. #22622212C2semidirect
6. #22622198C2semidirect
7. #22622193C2semidirect
8. #22622158C2semidirect
9. #22622144C2semidirect
10. #22621594C2semidirect
11. #22621589C2semidirect
12. #22621583C2semidirect
13. #22621575C2semidirect
14. #22621574C2semidirect
15. #22621564C2semidirect
16. #22621558C2semidirect
17. #22621529C2semidirect
18. #22620908C2semidirect
19. #22620886C2semidirect
20. #22620775C2semidirect
21. #22620769C2semidirect
22. #22620762C2semidirect
23. #22620760C2semidirect
24. #22619998C2semidirect
25. #22619954C2semidirect
26. #22619192C2semidirect
27. #22619186C2semidirect
28. #22619175C2semidirect
29. #22619174C2semidirect
30. #22618969C2semidirect
31. C73×#3323C2semidirect
34. C2×#14556624C22semidirect
35. C2×#14556624C22semidirect
36. C2×#14556623C22semidirect
37. C2×#14556621C22semidirect
38. C2×#14556620C22semidirect
39. C2×#14556620C22semidirect
40. C2×#14556618C22semidirect
41. C2×#14556617C22semidirect
44. #17989275C22semidirect
49. #17989250C22semidirect
50. #17989249C22semidirect
52. #17989246C22semidirect
55. #17989238C22semidirect
67. #17989141C22semidirect
70. #17989122C22semidirect
72. #17989100C22semidirect
73. #17989099C22semidirect
77. C2×#14556571C22semidirect
78. C22⋊Q8×D73C22semidirect
83. #17988971C22semidirect
84. #17988969C22semidirect
85. #17988965C22semidirect
86. #17988958C22semidirect
87. #17988944C22semidirect
88. #17988936C22semidirect
89. #17988932C22semidirect
90. #17988931C22semidirect
91. #17988931C22semidirect
92. #17988930C22semidirect
93. #17988927C22semidirect
94. #17988922C22semidirect
95. #17988921C22semidirect
96. #17988914C22semidirect
97. #17988911C22semidirect
98. #17988909C22semidirect
99. #17988907C22semidirect
100. #17988891C22semidirect
101. #17988871C22semidirect
102. #17988865C22semidirect
103. #17988846C22semidirect
104. #17988846C22semidirect
105. #17988844C22semidirect
106. #17988843C22semidirect
107. #17988843C22semidirect
108. #17988841C22semidirect
109. #17988838C22semidirect
110. #17988836C22semidirect
111. #17988835C22semidirect
112. #17988834C22semidirect
113. #17988833C22semidirect
114. #17988833C22semidirect
115. #17988832C22semidirect
116. #17988832C22semidirect
117. #17988810C22semidirect
118. #17988810C22semidirect
119. #17988809C22semidirect
120. #17988806C22semidirect
121. #17988802C22semidirect
122. #17988796C22semidirect
123. #17988796C22semidirect
124. #17988791C22semidirect
125. #17988790C22semidirect
126. #17988786C22semidirect
127. #17988781C22semidirect
128. #17988752C22semidirect
129. #17988752C22semidirect
130. #17988752C22semidirect
133. #17988750C22semidirect
134. #17988750C22semidirect
135. #17988750C22semidirect
136. #17988750C22semidirect
137. #17988748C22semidirect
138. #17988747C22semidirect
139. #17988747C22semidirect
141. #17988746C22semidirect
142. #17988745C22semidirect
143. #17988745C22semidirect
144. #17988744C22semidirect
145. #17988744C22semidirect
146. #17988742C22semidirect
147. #17988741C22semidirect
148. #17988739C22semidirect
149. #17988739C22semidirect
150. #17988738C22semidirect
151. #17988735C22semidirect
152. #17988734C22semidirect
153. #17988734C22semidirect
155. #17988733C22semidirect
156. #17988733C22semidirect
157. #17988733C22semidirect
158. #17988732C22semidirect
159. #17988731C22semidirect
160. #17988727C22semidirect
161. #17988725C22semidirect
162. C4×Dic292C22semidirect
163. #17988681C22semidirect
164. C4×#11924018C22semidirect
165. #17988678C22semidirect
166. #17988674C22semidirect
167. C4×#11924016C22semidirect
168. #17988667C22semidirect
169. #17988666C22semidirect
170. #17988665C22semidirect
171. #17988664C22semidirect
173. #17988663C22semidirect
175. #17988662C22semidirect
176. #17988639C22semidirect
177. #17988638C22semidirect
178. #17988595C22semidirect
179. #17988594C22semidirect
180. #17988590C22semidirect
181. #17988586C22semidirect
182. #17988585C22semidirect
183. #17988585C22semidirect
184. #17988550C22semidirect
185. #17988550C22semidirect
186. #17988549C22semidirect
187. #17988549C22semidirect
188. #552×C73C22semidirect
190. #488×C73C22semidirect
191. #485×C73C22semidirect
192. #481×C73C22semidirect
193. #478×C73C22semidirect
194. #470×C73C22semidirect
195. #468×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
198. #450×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. #436×C73C22semidirect
201. #418×C73C22semidirect
202. #417×C73C22semidirect
951. #3323D73semidirect
973. C73#61589semidirect
987. #552C2×D73semidirect
1032. #488C2×D73semidirect
1039. #485C2×D73semidirect
1046. #481C2×D73semidirect
1048. #478C2×D73semidirect
1056. #470C2×D73semidirect
1066. #468C2×D73semidirect
1071. #464C2×D73semidirect
1093. #452C2×D73semidirect
1103. #450C2×D73semidirect
1121. C4×SD16C2×D73semidirect
1130. #436C2×D73semidirect
1136. #418C2×D73semidirect
1140. #417C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239772
#226234152
#226222562
#226222322
#226222122
#226221982
#226221932
#226221582
#226221442
#226215942
#226215892
#226215832
#226215752
#226215742
#226215642
#226215582
#226215292
#226209082
#226208862
#226207752
#226207692
#226207622
#226207602
#226199982
#226199542
#226191922
#226191862
#226191752
#226191742
#226189692
C73×#33232
#6158973