Finite Group Databasebeta

← #33978750

Subgroups — #33978750

Order 18688.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623799C211yesmaximal, characteristic, complemented
2#22623552C211yesmaximal, characteristic, complemented
3#22623004C211yesmaximal, characteristic, complemented
4#22622996C211yesmaximal, characteristic, complemented
5#22622704C211yesmaximal, characteristic, complemented
6#22622696C211yesmaximal, characteristic, complemented
7#22622052C211yesmaximal, characteristic, complemented
8#22622050C211yesmaximal, characteristic, complemented
9#22621894C211yesmaximal, characteristic, complemented
10#22621892C211yesmaximal, characteristic, complemented
11#22621772C211yesmaximal, characteristic, complemented
12#22621770C211yesmaximal, characteristic, complemented
13#22621638C211yesmaximal, characteristic, complemented
14#22621631C211yesmaximal, characteristic, complemented
15#22621519C211yesmaximal, characteristic, complemented
16#22621510C211yesmaximal, characteristic, complemented
17#22621442C211yesmaximal, characteristic, complemented
18#22621288C211yesmaximal, characteristic, complemented
19#22621263C211yesmaximal, characteristic, complemented
20#22621244C211yesmaximal, characteristic, complemented
21#22620952C211yesmaximal, characteristic, complemented
22#22620937C211yesmaximal, characteristic, complemented
23#22620910C211yesmaximal, characteristic, complemented
24#22620080C211yesmaximal, characteristic, complemented
25#22620056C211yesmaximal, characteristic, complemented
26#22619957C211yesmaximal, characteristic, complemented
27#22619400C211yesmaximal, characteristic, complemented
28#22619385C211yesmaximal, characteristic, complemented
29C2×#17988785C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3266C211yesmaximal, characteristic, complemented
32C2×#14556622C2211yescharacteristic, complemented
33C2×#14556614C2211yescharacteristic, complemented
34C2×#14556612C2211yescharacteristic, complemented
35C22×#11924015C2211yescharacteristic
36#17989321—21no—
37#17989320C2211yescharacteristic
38#17989319C2211yescharacteristic
39#17989316C2211yescharacteristic, complemented
40#17989311—21no—
41#17989311C2211yescharacteristic, complemented
42#17989279—21no—
43#17989279—21no—
44#17989279C2211yescharacteristic
45#17989279C2211yescharacteristic, complemented
46#17989256C2211yescharacteristic
47#17989255—21no—
48#17989255C2211yescharacteristic
49#17989248C2211yescharacteristic
50#17989248C2211yescharacteristic, complemented
51#17989241—21no—
52#17989241C2211yescharacteristic
53#17989233C2211yescharacteristic
54#17989231C2211yescharacteristic
55#17989228C2211yescharacteristic
56#17989227—21no—
57#17989224—21no—
58#17989189—21no—
59#17989187—21no—
60#17989152—21no—
61#17989142—21no—
62#17989142C2211yescharacteristic, complemented
63#17989139C2211yescharacteristic
64#17989136C2211yescharacteristic
65#17989134C2211yescharacteristic
66#17989133C2211yescharacteristic
67#17989132C2211yescharacteristic
68C2×#14556587C2211yescharacteristic
69#17989123—21no—
70#17989123—21no—
71#17989123C2211yescharacteristic
72#17989123C2211yescharacteristic, complemented
73#17989060—21no—
74C4×#11924029C2211yescharacteristic, complemented
75C4×#11924027—21no—
76C4×#11924027C2211yescharacteristic
77C2×Q8×Dic73C2211yescharacteristic
78C2×Q8×Dic73C2211yescharacteristic, complemented
79#17988979C2211yescharacteristic, complemented
80#17988973C2211yescharacteristic
81#17988973C2211yescharacteristic
82#17988972C2211yescharacteristic, complemented
83#17988968C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic
85#17988950C2211yescharacteristic
86#17988947C2211yescharacteristic, complemented
87#17988946C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988918C2211yescharacteristic
91#17988915C2211yescharacteristic
92#17988914C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988906C2211yescharacteristic, complemented
95#17988903C2211yescharacteristic, complemented
96#17988893C2211yescharacteristic, complemented
97#17988892C2211yescharacteristic, complemented
98#17988890C2211yescharacteristic, complemented
99#17988889C2211yescharacteristic, complemented
100#17988878C2211yescharacteristic, complemented
101#17988877C2211yescharacteristic, complemented
102#17988870C2211yescharacteristic, complemented
103#17988870C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988866C2211yescharacteristic, complemented
106#17988840C2211yescharacteristic, complemented
107#17988838C2211yescharacteristic, complemented
108#17988835C2211yescharacteristic, complemented
109#17988826C2211yescharacteristic
110#17988819C2211yescharacteristic, complemented
111#17988819C2211yescharacteristic, complemented
112#17988818C2211yescharacteristic
113#17988816C2211yescharacteristic
114#17988813C2211yescharacteristic, complemented
115#17988813C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic, complemented
120#17988809C2211yescharacteristic, complemented
121#17988807C2211yescharacteristic, complemented
122#17988807C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic, complemented
125#17988803C2211yescharacteristic, complemented
126#17988799C2211yescharacteristic, complemented
127#17988795C2211yescharacteristic, complemented
128#17988795C2211yescharacteristic, complemented
129#17988795C2211yescharacteristic, complemented
130#17988791C2211yescharacteristic, complemented
131#17988789C2211yescharacteristic, complemented
132#17988785C2211yescharacteristic
133#17988785C2211yescharacteristic
134#17988785C2211yescharacteristic
135#17988785C2211yescharacteristic
136#17988785C2211yescharacteristic
137#17988785C2211yescharacteristic
138#17988785C2211yescharacteristic
139#17988785C2211yescharacteristic
140#17988785C2211yescharacteristic
141#17988785C2211yescharacteristic
142#17988781C2211yescharacteristic
143#17988781C2211yescharacteristic
144#17988748C2211yescharacteristic, complemented
145#17988748C2211yescharacteristic, complemented
146#17988747C2211yescharacteristic, complemented
147#17988746C2211yescharacteristic, complemented
148#17988746C2211yescharacteristic, complemented
149#17988743C2211yescharacteristic
150#17988737C2211yescharacteristic
151#17988735C2211yescharacteristic, complemented
152#17988734C2211yescharacteristic, complemented
153#17988732C2211yescharacteristic, complemented
154#17988731C2211yescharacteristic, complemented
155#17988726C2211yescharacteristic, complemented
156#17988723C2211yescharacteristic
157#17988721C2211yescharacteristic
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988700C2211yescharacteristic, complemented
161#17988697C2211yescharacteristic, complemented
162#17988694C2211yescharacteristic, complemented
163#17988694C2211yescharacteristic, complemented
164#17988691C2211yescharacteristic, complemented
165#17988691C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167SD16×Dic73C2211yescharacteristic, complemented
168SD16×Dic73C2211yescharacteristic, complemented
169#17988672C2211yescharacteristic, complemented
170#17988672C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic
173#17988656C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic
175#17988650C2211yescharacteristic
176#17988642C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic, complemented
180C2×#14556520C2211yescharacteristic
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988589C2211yescharacteristic, complemented
183#17988588C2211yescharacteristic, complemented
184#17988582C2211yescharacteristic, complemented
185#17988580C2211yescharacteristic, complemented
186C2×#14556513C2211yescharacteristic
187C2×#14556512C2211yescharacteristic
188C2×#137×C73C2211yescharacteristic, complemented
189C22×SD16×C73C2211yescharacteristic
190D4×Q8×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic
192#497×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#467×C73C2211yescharacteristic
195#464×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic
199#450×C73C2211yescharacteristic
200#448×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027D411yescharacteristic
210C2×#11924027C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C22×C22⋊D73—21no—
213C22×C22⋊D73—21no—
214#14556622—42no—
215#14556614—42no—
216#14556612—42no—
217C2×#11924018C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924015—42no—
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924012C2311yescharacteristic
234C22×#10596831C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237#14556591—21no—
238#14556591C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556589C2311yescharacteristic
241#14556587—21no—
242#14556587—21no—
243#14556587—21no—
244#14556587—21no—
245#14556587C2311yescharacteristic
246#14556587C2311yescharacteristic
247#14556587C2311yescharacteristic
248#14556587C2311yescharacteristic
249#14556586—21no—
250#14556586—21no—
251#14556586—21no—
252#14556586—21no—
253#14556586—21no—
254#14556586—21no—
255#14556582—21no—
256#14556582—21no—
257#14556582—21no—
258#14556582—21no—
259#14556582—21no—
260#14556582C2311yescharacteristic
261#14556582C2311yescharacteristic
262#14556581—21no—
263#14556580—21no—
264#14556580—21no—
265#14556580C2311yescharacteristic
266#14556580C2311yescharacteristic
267#14556580C2311yescharacteristic
268#14556579C2311yescharacteristic
269#14556578C2311yescharacteristic
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556576—21no—
275#14556576—21no—
276#14556575—21no—
277#14556575—21no—
278#14556575—21no—
279#14556575—21no—
280#14556575—21no—
281#14556575—21no—
282#14556575—21no—
283#14556574—21no—
284#14556573—21no—
285#14556573—21no—
286#14556572—21no—
287#14556571—21no—
288#14556571—21no—
289#14556571—21no—
290#14556570C2311yescharacteristic
291#14556568—21no—
292#14556567—21no—
293#14556567—21no—
294#14556567C2311yescharacteristic
295#14556567C2311yescharacteristic
296#14556566—21no—
297#14556566C2311yescharacteristic
298#14556565—21no—
299#14556565—21no—
300#14556565—21no—
301#14556565C2311yescharacteristic
302#14556565C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556562—21no—
315#14556562C2311yescharacteristic
316#14556561—21no—
317#14556560—21no—
318#14556559—21no—
319Q8×Dic73—21no—
320Q8×Dic73—21no—
321Q8×Dic73—21no—
322Q8×Dic73—21no—
323Q8×Dic73C2311yescharacteristic
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327Q8×Dic73C2311yescharacteristic
328Q8×Dic73C2311yescharacteristic
329Q8×Dic73C2311yescharacteristic
330Q8×Dic73C2311yescharacteristic
331C4×Dic146—21no—
332C4×Dic146C2311yescharacteristic
333#14556556—21no—
334#14556556—21no—
335#14556556D411yescharacteristic
336#14556556C2311yescharacteristic
337C4×D292—21no—
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340D4×Dic73D411yescharacteristic
341D4×Dic73C2311yescharacteristic
342#14556553—21no—
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73C2311yescharacteristic
353C4×C22⋊D73C2311yescharacteristic
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551D411yescharacteristic
362#14556551D411yescharacteristic
363#14556549—21no—
364#14556549—21no—
365#14556549—21no—
366#14556549—21no—
367#14556549—21no—
368#14556549D411yescharacteristic
369#14556549C2311yescharacteristic
370#14556547—21no—
371#14556547—21no—
372#14556547—21no—
373#14556547D411yescharacteristic
374#14556547D411yescharacteristic
375C2×C4⋊Dic73—21no—
376C2×C4⋊Dic73—21no—
377C2×C4⋊Dic73C2311yescharacteristic
378C2×C4⋊Dic73C2311yescharacteristic
379C2×C22⋊Dic73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73C2311yescharacteristic
385C2×C4×Dic73C2311yescharacteristic
386C42×D73—21no—
387C42×D73C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C22×Q8×C73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443#137×C73—42no—
444C2×Q16×C73C2311yescharacteristic
445C2×Q16×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×SD16×C73—42no—
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456C4⋊Q8×C73—21no—
457C4⋊Q8×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#123×C73—21no—
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73—21no—
462C22⋊Q8×C73C2311yescharacteristic
463C22⋊Q8×C73C2311yescharacteristic
464C22⋊Q8×C73C2311yescharacteristic
465#121×C73—21no—
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468C4×Q8×C73C2311yescharacteristic
469C4×D4×C73—21no—
470C4×D4×C73C2311yescharacteristic
471C4×D4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473#107×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—22no—
486#11924029—41no—
487#11924029—41no—
488#11924029—41no—
489#11924028—41no—
490#11924028—41no—
491#11924028—82no—
492#11924027—41no—
493#11924027—41no—
494#11924027—42no—
495#11924027—44no—
496#11924027—82no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—41no—
506C2×D292—41no—
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—44no—
525C2×C22⋊D73—82no—
526C2×C22⋊D73C2×D411yescharacteristic
527C2×C22⋊D73C2×D411yescharacteristic
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73C2×D411yescharacteristic
533C22×Dic73C2×D411yescharacteristic
534C22×Dic73C2×D411yescharacteristic
535C22×Dic73C2×D411yescharacteristic
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2411yescharacteristic
546#11924018—22no—
547#11924018—41no—
548#11924018—41no—
549#11924017—41no—
550#11924015—22no—
551#11924015—22no—
552#11924015—41no—
553#11924015—41no—
554#11924015—41no—
555#11924015—41no—
556#11924015—41no—
557D584—41no—
558D584—41no—
559#11924013—41no—
560#11924013—41no—
561#11924012—41no—
562C2×#10596831—41no—
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
567C8×D73—41no—
568C8×D73—41no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73C2×D411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73C2×D411yescharacteristic
606C22⋊Dic73C2×D411yescharacteristic
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C4×Dic73C2411yescharacteristic
647C24×C73—21no—
648#41×C73—41no—
649#41×C73—41no—
650C2×Q8×C73—21no—
651C2×Q8×C73—21no—
652C2×Q8×C73—22no—
653C2×Q8×C73—22no—
654C2×Q8×C73—41no—
655C2×Q8×C73—41no—
656C2×Q8×C73C2411yescharacteristic
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×Q8×C73C2411yescharacteristic
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—41no—
664C2×D4×C73—41no—
665C2×D4×C73C2×D411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73C2411yescharacteristic
673C22×C4×C73C2411yescharacteristic
674Q16×C73—22no—
675Q16×C73—41no—
676Q16×C73—41no—
677SD16×C73—22no—
678SD16×C73—22no—
679SD16×C73—41no—
680SD16×C73—41no—
681SD16×C73—41no—
682SD16×C73—41no—
683M16×C73—41no—
684C2×C8×C73—41no—
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C2×C8×C73C2411yescharacteristic
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73—21no—
693C4⋊C4×C73—21no—
694C4⋊C4×C73—21no—
695C4⋊C4×C73C2×D411yescharacteristic
696C4⋊C4×C73C2411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73C2×D411yescharacteristic
706C22⋊C4×C73C2×D411yescharacteristic
707C42×C73—21no—
708C42×C73C2411yescharacteristic
709C23×C73—21no—
710C23×C73—21no—
711C23×C73—42no—
712C23×C73—81no—
713C23×C73—81no—
714C23×C73C22×D411yescharacteristic
715C23×C73C22×D411yescharacteristic
716C22×D73—21no—
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—42no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—21no—
729Q8×C73—21no—
730Q8×C73—42no—
731Q8×C73—42no—
732Q8×C73H(5,𝔽2)12yes—
733D4×C73—22no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—21no—
737D4×C73—21no—
738D4×C73—81no—
739D4×C73—81no—
740D4×C73—81no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—42no—
752C2×C4×C73—42no—
753C2×C4×C73—81no—
754C2×C4×C73—81no—
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C2511yescharacteristic
760C22⋊D73—22no—
761C22⋊D73—41no—
762C22⋊D73—42no—
763C22⋊D73—42no—
764C22⋊D73—42no—
765C22⋊D73—42no—
766C22⋊D73—42no—
767C22⋊D73—42no—
768C22⋊D73—42no—
769C22⋊D73—42no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C22⋊D73—81no—
775C22⋊D73—81no—
776C2×Dic73—22no—
777C2×Dic73—22no—
778C2×Dic73—22no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—21no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—41no—
785C2×Dic73—42no—
786C2×Dic73—42no—
787C2×Dic73—81no—
788C2×Dic73—81no—
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796D292—21no—
797D292—21no—
798D292—21no—
799D292—21no—
800D292—21no—
801D292—21no—
802D292—42no—
803D292—81no—
804D292—81no—
805D292—81no—
806C4×D73—21no—
807C4×D73—21no—
808C4×D73—22no—
809C4×D73—41no—
810C4×D73—42no—
811C4×D73—42no—
812C4×D73—42no—
813C4×D73—81no—
814C4×D73—81no—
815C4×D73—81no—
816C4×D73—81no—
817Dic146—21no—
818Dic146—21no—
819Dic146—41no—
820Dic146—42no—
821Dic146—42no—
822C8×C73—21no—
823C8×C73—21no—
824C8×C73—21no—
825C8×C73—21no—
826#10596831—21no—
827#10596831—21no—
828#10596831—21no—
829#10596831—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—21no—
833C22×C73—21no—
834C22×C73—21no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—162no—
842C22×C73#57512yes—
843C22×C73C23×D411yescharacteristic
844C2×D73—21no—
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—162no—
857C4×C73—22no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73C2×H(5,𝔽2)11yescharacteristic
868C4×C73#58511yescharacteristic
869Dic73—21no—
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—41no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73#57712yes—
881#61981—731nomaximal, Sylow
882C2×C73—22no—
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73#348811yescharacteristic
887C2×C73C2×#57511yescharacteristic
888C2×C73C2×#57711yescharacteristic
889D73—41no—
890D73—81no—
891D73—81no—
892D73—81no—
893#3508—731no—
894#3482—731no—
895#3401—731no—
896#3401—731no—
897#3371—731no—
898#3371—731no—
899#3317—731no—
900#3317—731no—
901#3306—731no—
902#3306—731no—
903#3296—731no—
904#3296—731no—
905#3282—731no—
906#3282—731no—
907#3271—731no—
908#3271—731no—
909#3266—731no—
910#3266D7311yescharacteristic, complemented
911#3251—731no—
912#3248—731no—
913#3246—731no—
914#3217—731no—
915#3216—731no—
916#3212—731no—
917#3115—731no—
918#3113—731no—
919#3103—731no—
920#3037—731no—
921#3035—731no—
922C2×#460—731no—
923#2990—731no—
924C73#6198111yescharacteristic, complemented, Sylow
925C2×#137—731no—
926C2×#137C2×D7311yescharacteristic, complemented
927C2×#135—731no—
928C2×#135—731no—
929C22×SD16—731no—
930C22×SD16C2×D7311yescharacteristic
931#559—731no—
932#559—731no—
933#559—1461no—
934#557—731no—
935#556—731no—
936#556—1461no—
937#552—731no—
938#552—731no—
939#552—1461no—
940#552—1461no—
941#550—731no—
942#550—731no—
943#550—1461no—
944D4×Q8C2×D7311yescharacteristic
945#548—731no—
946#548—731no—
947#547—731no—
948#547—1461no—
949#546—731no—
950#546—731no—
951#546—731no—
952#546—1461no—
953#546—1461no—
954#546C2×D7311yescharacteristic
955#540—1461no—
956#540—1461no—
957#535—1461no—
958#533—731no—
959#533—731no—
960#533—1461no—
961#532—731no—
962#532—731no—
963#532—731no—
964#532—731no—
965C2×#127—731no—
966#529—731no—
967#529—731no—
968#529—1461no—
969#529—1461no—
970#518—1461no—
971C4×#41—731no—
972C4×#41—731no—
973C4×#41—1461no—
974C2×C4×Q8—731no—
975C2×C4×Q8—731no—
976#497—731no—
977#497C2×D7311yescharacteristic, complemented
978#496—731no—
979#496—731no—
980#495—731no—
981#495—731no—
982#490—731no—
983#490—731no—
984#489—731no—
985#489—731no—
986#488—731no—
987#488—731no—
988#483—731no—
989#483—731no—
990#482—731no—
991#482—731no—
992#481—731no—
993#481—731no—
994#479—731no—
995#479—731no—
996#478—731no—
997#478—731no—
998#476—731no—
999#476—731no—
1000#475—731no—
1001#475—731no—
1002#475—731no—
1003#474—731no—
1004#469—731no—
1005#469—731no—
1006#468—731no—
1007#468C2×D7311yescharacteristic, complemented
1008#467—731no—
1009#467C2×D7311yescharacteristic
1010#465—731no—
1011#465—731no—
1012#465—731no—
1013#465—731no—
1014#465—731no—
1015#465—731no—
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#464C2×D7311yescharacteristic, complemented
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#462—731no—
1029#462—731no—
1030#462—731no—
1031#461—731no—
1032#461—731no—
1033#461C2×D7311yescharacteristic, complemented
1034#460—731no—
1035#460—731no—
1036#460—731no—
1037#460—731no—
1038#460—731no—
1039#460—731no—
1040#460—731no—
1041#460—731no—
1042#460—731no—
1043#460—731no—
1044#459—731no—
1045#459—731no—
1046#452—731no—
1047#452—731no—
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452C2×D7311yescharacteristic, complemented
1052#451—731no—
1053#451C2×D7311yescharacteristic
1054#450—731no—
1055#450C2×D7311yescharacteristic
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449—731no—
1060#448—731no—
1061#448C2×D7311yescharacteristic, complemented
1062#447—731no—
1063#447—731no—
1064#446—731no—
1065#446—731no—
1066#442—731no—
1067#442—731no—
1068#441—731no—
1069#441—731no—
1070#441—731no—
1071#441—731no—
1072#440—731no—
1073#440C2×D7311yescharacteristic, complemented
1074C4×SD16—731no—
1075C4×SD16—731no—
1076C4×SD16—731no—
1077C4×SD16—731no—
1078#435—731no—
1079#435—731no—
1080#435—731no—
1081#435C2×D7311yescharacteristic
1082C8×D4—731no—
1083C8×D4—731no—
1084#432—731no—
1085#432—731no—
1086#431—731no—
1087#423—731no—
1088C2×C4⋊C8—731no—
1089C2×C4⋊C8—731no—
1090#417—731no—
1091#417—731no—
1092#416—731no—
1093#416—731no—
1094C2×#102—731no—
1095C2×#102—731no—
1096C2×#41—731no—
1097C2×#41—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41—1461no—
1104C2×#41C22×D7311yescharacteristic
1105C22×Q8C22×D7311yescharacteristic
1106C22×Q8C22×D7311yescharacteristic
1107C22×D4—731no—
1108C22×D4—1461no—
1109C22×D4—1461no—
1110C22×D4C22×D7311yescharacteristic
1111#137—42no—
1112#137—2922no—
1113#135—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16—731no—
1118C2×Q16C22×D7311yescharacteristic
1119C2×Q16C22×D7311yescharacteristic
1120C2×Q16C22×D7311yescharacteristic
1121C2×SD16—42no—
1122C2×SD16—2922no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16—731no—
1130C2×SD16—731no—
1131C2×SD16C22×D7311yescharacteristic
1132C2×SD16C22×D7311yescharacteristic
1133C2×SD16C22×D7311yescharacteristic
1134C2×SD16C22×D7311yescharacteristic
1135C2×SD16C22×D7311yescharacteristic
1136C2×SD16C22×D7311yescharacteristic
1137C2×D8—731no—
1138C2×D8—731no—
1139C2×D8—731no—
1140C2×D8—731no—
1141C2×M16—731no—
1142C2×M16C22×D7311yescharacteristic
1143C22×C8—731no—
1144C22×C8—731no—
1145C22×C8—731no—
1146C22×C8C22×D7311yescharacteristic
1147C4⋊Q8—21no—
1148C4⋊Q8—731no—
1149C4⋊Q8—731no—
1150C4⋊Q8—731no—
1151C4⋊Q8—1461no—
1152C4⋊Q8C22×D7311yescharacteristic
1153#127—731no—
1154#127—731no—
1155#127—731no—
1156#127—731no—
1157#127—1461no—
1158#127—1461no—
1159#127—1461no—
1160#127—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#126—1461no—
1167#125—731no—
1168#125—731no—
1169#125—1461no—
1170#125—1461no—
1171#125—1461no—
1172#125—1461no—
1173#125—1461no—
1174#125—1461no—
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—731no—
1179#124—731no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124—1461no—
1184#124—1461no—
1185#124—1461no—
1186#124C22×D7311yescharacteristic
1187#123—21no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—731no—
1204C22⋊Q8—731no—
1205C22⋊Q8—731no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8C22×D7311yescharacteristic
1213C22⋊Q8C22×D7311yescharacteristic
1214C22⋊Q8C22×D7311yescharacteristic
1215#121—21no—
1216#121—731no—
1217#121—731no—
1218#121—731no—
1219#121—731no—
1220#121—731no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#121—1461no—
1227#121—1461no—
1228#121—1461no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121C22×D7311yescharacteristic
1237#120—21no—
1238#120—1461no—
1239#120—1461no—
1240#120—1461no—
1241C4×Q8—731no—
1242C4×Q8—731no—
1243C4×Q8—731no—
1244C4×Q8—731no—
1245C4×Q8—731no—
1246C4×Q8—731no—
1247C4×Q8—731no—
1248C4×Q8—731no—
1249C4×Q8—731no—
1250C4×Q8—731no—
1251C4×Q8—731no—
1252C4×Q8—1461no—
1253C4×Q8—1461no—
1254C4×Q8—1461no—
1255C4×Q8—1461no—
1256C4×Q8—1461no—
1257C4×Q8—1461no—
1258C4×Q8—1461no—
1259C4×Q8C22×D7311yescharacteristic
1260C4×D4—21no—
1261C4×D4—731no—
1262C4×D4—731no—
1263C4×D4—731no—
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4C22×D7311yescharacteristic
1288C4×D4C22×D7311yescharacteristic
1289#117—731no—
1290#117—731no—
1291#117—731no—
1292#117—731no—
1293#117—1461no—
1294#117—1461no—
1295#117—1461no—
1296#117—1461no—
1297#117—1461no—
1298#117—1461no—
1299#117—1461no—
1300#117—1461no—
1301C2×C4⋊C4—731no—
1302C2×C4⋊C4—731no—
1303C2×C4⋊C4—1461no—
1304C2×C4⋊C4—1461no—
1305C2×C22⋊C4—21no—
1306C2×C22⋊C4—1461no—
1307C2×C22⋊C4—1461no—
1308C2×C22⋊C4—1461no—
1309C2×C42—731no—
1310C2×C42—731no—
1311C2×C42—731no—
1312C2×C42—1461no—
1313C2×C42—1461no—
1314C2×C42—1461no—
1315#107—731no—
1316#107C22×D7311yescharacteristic
1317#106—731no—
1318#106—731no—
1319#106—731no—
1320#106—731no—
1321#106—731no—
1322#106—731no—
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8C22×D7311yescharacteristic
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103C22×D7311yescharacteristic
1344#103C22×D7311yescharacteristic
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365C22⋊C8—731no—
1366C22⋊C8—731no—
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8C22×D7311yescharacteristic
1370C22⋊C8C22×D7311yescharacteristic
1371#97—731no—
1372#97—731no—
1373#97—731no—
1374#97C22×D7311yescharacteristic
1375C4×C8—731no—
1376C4×C8—731no—
1377C24—21no—
1378C24—1461no—
1379#41—41no—
1380#41—41no—
1381#41—2921no—
1382#41—2921no—
1383#41—2924no—
1384#41—2922no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—5842no—
1391#41—5842no—
1392#41—1462no—
1393C2×Q8—21no—
1394C2×Q8—21no—
1395C2×Q8—22no—
1396C2×Q8—22no—
1397C2×Q8—41no—
1398C2×Q8—41no—
1399C2×Q8—731no—
1400C2×Q8—731no—
1401C2×Q8—1461no—
1402C2×Q8—1461no—
1403C2×Q8C23×D7311yescharacteristic
1404C2×Q8C23×D7311yescharacteristic
1405C2×Q8C23×D7311yescharacteristic
1406C2×Q8C23×D7311yescharacteristic
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—2921no—
1413C2×D4—2921no—
1414C2×D4—2924no—
1415C2×D4—5842no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—731no—
1419C2×D4—731no—
1420C2×D4—731no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4D4×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—731no—
1452C22×C4—731no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4C23×D7311yescharacteristic
1465C22×C4C23×D7311yescharacteristic
1466Q16—22no—
1467Q16—41no—
1468Q16—41no—
1469Q16—2921no—
1470Q16—2921no—
1471Q16—1462no—
1472SD16—22no—
1473SD16—22no—
1474SD16—41no—
1475SD16—41no—
1476SD16—41no—
1477SD16—41no—
1478SD16—2921no—
1479SD16—2921no—
1480SD16—2921no—
1481SD16—2921no—
1482SD16—2921no—
1483SD16—2921no—
1484SD16—1462no—
1485SD16—1462no—
1486D8—2921no—
1487D8—2921no—
1488D8—2921no—
1489D8—2921no—
1490M16—41no—
1491M16—2921no—
1492C2×C8—41no—
1493C2×C8—2921no—
1494C2×C8—2921no—
1495C2×C8—2921no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8—731no—
1499C2×C8—731no—
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C2×C8C23×D7311yescharacteristic
1503C2×C8C23×D7311yescharacteristic
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—731no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4—1461no—
1538C4⋊C4—1461no—
1539C4⋊C4—1461no—
1540C4⋊C4—1461no—
1541C4⋊C4D4×D7311yescharacteristic
1542C4⋊C4C23×D7311yescharacteristic
1543C4⋊C4C23×D7311yescharacteristic
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4D4×D7311yescharacteristic
1580C22⋊C4D4×D7311yescharacteristic
1581C42—21no—
1582C42—731no—
1583C42—731no—
1584C42—731no—
1585C42—731no—
1586C42—731no—
1587C42—731no—
1588C42—731no—
1589C42—731no—
1590C42—731no—
1591C42—1461no—
1592C42—1461no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42—1461no—
1601C42C23×D7311yescharacteristic
1602C23—21no—
1603C23—21no—
1604C23—42no—
1605C23—81no—
1606C23—81no—
1607C23—2922no—
1608C23—5841no—
1609C23—5841no—
1610C23—731no—
1611C23—1461no—
1612C23—1461no—
1613C23—1461no—
1614C23C2×D4×D7311yescharacteristic
1615C23C2×D4×D7311yescharacteristic
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—42no—
1624Q8—42no—
1625Q8—2922no—
1626Q8—2921no—
1627Q8—2922no—
1628Q8—1461no—
1629Q8—1461no—
1630Q8#1455663612yes—
1631D4—22no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—2922no—
1640D4—2922no—
1641D4—2922no—
1642D4—2922no—
1643D4—2922no—
1644D4—2921no—
1645D4—2922no—
1646D4—2922no—
1647D4—2922no—
1648D4—2922no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—1462no—
1659D4—1461no—
1660D4—1461no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—42no—
1676C2×C4—42no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—2922no—
1680C2×C4—2922no—
1681C2×C4—2921no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—2922no—
1685C2×C4—2921no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—731no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—1462no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1462no—
1706C2×C4—1462no—
1707C2×C4—1462no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—162no—
1735C22—2921no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—11682no—
1745C22—1461no—
1746C22—1461no—
1747C22—1461no—
1748C22#1798938612yes—
1749C22C22×D4×D7311yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—22no—
1753C4—21no—
1754C4—21no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—2921no—
1761C4—2921no—
1762C4—2921no—
1763C4—2921no—
1764C4—2921no—
1765C4—732no—
1766C4—1461no—
1767C4—1461no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4C2×#1455663611yescharacteristic
1773C4#1798942211yescharacteristic
1774C2—22no—
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—2921no—
1779C2—5841no—
1780C2—5841no—
1781C2—5841no—
1782C2#2262359111yescharacteristic
1783C2C2×#1798938611yescharacteristic
1784C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3266C2
socleC22×C73C23×D4
hypercenter#3266D73
hypocenterC73#61981
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. #22623799C2semidirect
2. #22623552C2semidirect
3. #22623004C2semidirect
4. #22622996C2semidirect
5. #22622704C2semidirect
6. #22622696C2semidirect
7. #22622052C2semidirect
8. #22622050C2semidirect
9. #22621894C2semidirect
10. #22621892C2semidirect
11. #22621772C2semidirect
12. #22621770C2semidirect
13. #22621638C2semidirect
14. #22621631C2semidirect
15. #22621519C2semidirect
16. #22621510C2semidirect
17. #22621442C2semidirect
18. #22621288C2semidirect
19. #22621263C2semidirect
20. #22621244C2semidirect
21. #22620952C2semidirect
22. #22620937C2semidirect
23. #22620910C2semidirect
24. #22620080C2semidirect
25. #22620056C2semidirect
26. #22619957C2semidirect
27. #22619400C2semidirect
28. #22619385C2semidirect
29. C2×#17988785C2semidirect
30. #22619051C2semidirect
31. C73×#3266C2semidirect
32. C2×#14556622C22semidirect
33. C2×#14556614C22semidirect
34. C2×#14556612C22semidirect
39. #17989316C22semidirect
41. #17989311C22semidirect
45. #17989279C22semidirect
50. #17989248C22semidirect
62. #17989142C22semidirect
72. #17989123C22semidirect
74. C4×#11924029C22semidirect
78. C2×Q8×Dic73C22semidirect
79. #17988979C22semidirect
82. #17988972C22semidirect
83. #17988968C22semidirect
86. #17988947C22semidirect
87. #17988946C22semidirect
88. #17988943C22semidirect
89. #17988940C22semidirect
92. #17988914C22semidirect
93. #17988910C22semidirect
94. #17988906C22semidirect
95. #17988903C22semidirect
96. #17988893C22semidirect
97. #17988892C22semidirect
98. #17988890C22semidirect
99. #17988889C22semidirect
100. #17988878C22semidirect
101. #17988877C22semidirect
102. #17988870C22semidirect
103. #17988870C22semidirect
104. #17988870C22semidirect
105. #17988866C22semidirect
106. #17988840C22semidirect
107. #17988838C22semidirect
108. #17988835C22semidirect
110. #17988819C22semidirect
111. #17988819C22semidirect
114. #17988813C22semidirect
115. #17988813C22semidirect
116. #17988812C22semidirect
117. #17988811C22semidirect
118. #17988811C22semidirect
119. #17988811C22semidirect
120. #17988809C22semidirect
121. #17988807C22semidirect
122. #17988807C22semidirect
123. #17988805C22semidirect
124. #17988804C22semidirect
125. #17988803C22semidirect
126. #17988799C22semidirect
127. #17988795C22semidirect
128. #17988795C22semidirect
129. #17988795C22semidirect
130. #17988791C22semidirect
131. #17988789C22semidirect
144. #17988748C22semidirect
145. #17988748C22semidirect
146. #17988747C22semidirect
147. #17988746C22semidirect
148. #17988746C22semidirect
151. #17988735C22semidirect
152. #17988734C22semidirect
153. #17988732C22semidirect
154. #17988731C22semidirect
155. #17988726C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988700C22semidirect
161. #17988697C22semidirect
162. #17988694C22semidirect
163. #17988694C22semidirect
164. #17988691C22semidirect
165. #17988691C22semidirect
166. #17988685C22semidirect
167. SD16×Dic73C22semidirect
168. SD16×Dic73C22semidirect
169. #17988672C22semidirect
170. #17988672C22semidirect
171. #17988661C22semidirect
173. #17988656C22semidirect
176. #17988642C22semidirect
178. #17988637C22semidirect
179. #17988610C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988589C22semidirect
183. #17988588C22semidirect
184. #17988582C22semidirect
185. #17988580C22semidirect
188. C2×#137×C73C22semidirect
192. #497×C73C22semidirect
193. #468×C73C22semidirect
195. #464×C73C22semidirect
196. #461×C73C22semidirect
197. #452×C73C22semidirect
200. #448×C73C22semidirect
201. #440×C73C22semidirect
910. #3266D73semidirect
924. C73#61981semidirect
926. C2×#137C2×D73semidirect
977. #497C2×D73semidirect
1007. #468C2×D73semidirect
1023. #464C2×D73semidirect
1033. #461C2×D73semidirect
1051. #452C2×D73semidirect
1061. #448C2×D73semidirect
1073. #440C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237992
#226235522
#226230042
#226229962
#226227042
#226226962
#226220522
#226220502
#226218942
#226218922
#226217722
#226217702
#226216382
#226216312
#226215192
#226215102
#226214422
#226212882
#226212632
#226212442
#226209522
#226209372
#226209102
#226200802
#226200562
#226199572
#226194002
#226193852
C2×#179887852
#226190512
C73×#32662
#6198173