Finite Group Databasebeta

← #33972199

Subgroups — #33972199

Order 18688.

2062 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#22624199C211yesmaximal, characteristic, complemented
2#22623585C211yesmaximal, characteristic, complemented
3#22622123C211yesmaximal, characteristic, complemented
4#22622115C211yesmaximal, characteristic, complemented
5#22622003C211yesmaximal, characteristic, complemented
6#22621995C211yesmaximal, characteristic, complemented
7#22621879C211yesmaximal, characteristic, complemented
8#22621876C211yesmaximal, characteristic, complemented
9#22621868C211yesmaximal, characteristic, complemented
10#22621865C211yesmaximal, characteristic, complemented
11#22621675C211yesmaximal, characteristic, complemented
12#22621670C211yesmaximal, characteristic, complemented
13#22621645C211yesmaximal, characteristic, complemented
14#22621636C211yesmaximal, characteristic, complemented
15#22621513C211yesmaximal, characteristic, complemented
16#22621509C211yesmaximal, characteristic, complemented
17#22621475C211yesmaximal, characteristic, complemented
18#22621468C211yesmaximal, characteristic, complemented
19#22621031C211yesmaximal, characteristic, complemented
20#22621023C211yesmaximal, characteristic, complemented
21#22620802C211yesmaximal, characteristic, complemented
22#22620795C211yesmaximal, characteristic, complemented
23#22620719C211yesmaximal, characteristic, complemented
24#22620163C211yesmaximal, characteristic, complemented
25#22620155C211yesmaximal, characteristic, complemented
26#22619223C211yesmaximal, characteristic, complemented
27#22619214C211yesmaximal, characteristic, complemented
28#22619153C211yesmaximal, characteristic, complemented
29#22619147C211yesmaximal, characteristic, complemented
30#22618985C211yesmaximal, characteristic, complemented
31C73×#3191C211yesmaximal, characteristic, complemented
32C2×#14556638C2211yescharacteristic
33C22×#11924028C2211yescharacteristic, complemented
34C2×#14556620C2211yescharacteristic, complemented
35C2×#14556615C2211yescharacteristic, complemented
36C2×#14556613C2211yescharacteristic
37C2×#14556613C2211yescharacteristic
38C2×#14556611C2211yescharacteristic
39C2×#14556611C2211yescharacteristic
40C2×Q16×D73C2211yescharacteristic, complemented
41C2×SD16×D73C2211yescharacteristic, complemented
42#17989330—21no—
43#17989326—21no—
44#17989320—21no—
45#17989308C2211yescharacteristic, complemented
46#17989305C2211yescharacteristic, complemented
47#17989301C2211yescharacteristic, complemented
48#17989300C2211yescharacteristic, complemented
49#17989266—21no—
50#17989258—21no—
51#17989258—21no—
52#17989255C2211yescharacteristic
53#17989255C2211yescharacteristic
54#17989255C2211yescharacteristic, complemented
55#17989255C2211yescharacteristic, complemented
56#17989247C2211yescharacteristic
57#17989247C2211yescharacteristic
58#17989247C2211yescharacteristic, complemented
59#17989247C2211yescharacteristic, complemented
60#17989247C2211yescharacteristic, complemented
61#17989246—21no—
62#17989246—21no—
63#17989244C2211yescharacteristic, complemented
64#17989234C2211yescharacteristic, complemented
65#17989225C2211yescharacteristic, complemented
66#17989210C2211yescharacteristic
67#17989205—21no—
68#17989204C2211yescharacteristic
69#17989202—21no—
70#17989173—21no—
71#17989170—21no—
72#17989160C2211yescharacteristic
73#17989156C2211yescharacteristic
74#17989153C2211yescharacteristic
75#17989152—21no—
76#17989152—21no—
77#17989151C2211yescharacteristic, complemented
78#17989098C2211yescharacteristic
79#17989098C2211yescharacteristic
80#17989095—21no—
81#17989095—21no—
82#17989064C2211yescharacteristic, complemented
83#17988975C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic, complemented
85#17988972C2211yescharacteristic, complemented
86#17988968C2211yescharacteristic, complemented
87#17988948C2211yescharacteristic, complemented
88#17988948C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988932C2211yescharacteristic, complemented
91#17988928C2211yescharacteristic, complemented
92#17988925C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic, complemented
97#17988911C2211yescharacteristic
98#17988908C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988871C2211yescharacteristic, complemented
102#17988871C2211yescharacteristic, complemented
103#17988841C2211yescharacteristic, complemented
104#17988839C2211yescharacteristic, complemented
105#17988836C2211yescharacteristic, complemented
106#17988834C2211yescharacteristic, complemented
107#17988826C2211yescharacteristic, complemented
108#17988824C2211yescharacteristic, complemented
109#17988822C2211yescharacteristic, complemented
110#17988821C2211yescharacteristic, complemented
111#17988819C2211yescharacteristic, complemented
112#17988818C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988808C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic, complemented
121#17988805C2211yescharacteristic, complemented
122#17988804C2211yescharacteristic, complemented
123#17988786C2211yescharacteristic, complemented
124#17988785C2211yescharacteristic, complemented
125#17988781C2211yescharacteristic, complemented
126#17988780C2211yescharacteristic, complemented
127#17988751C2211yescharacteristic, complemented
128#17988751C2211yescharacteristic, complemented
129#17988750C2211yescharacteristic, complemented
130#17988749C2211yescharacteristic, complemented
131#17988747C2211yescharacteristic, complemented
132#17988747C2211yescharacteristic, complemented
133#17988747C2211yescharacteristic, complemented
134#17988746C2211yescharacteristic, complemented
135#17988745C2211yescharacteristic, complemented
136#17988744C2211yescharacteristic, complemented
137#17988742C2211yescharacteristic, complemented
138#17988741C2211yescharacteristic, complemented
139#17988740C2211yescharacteristic, complemented
140#17988737C2211yescharacteristic, complemented
141#17988734C2211yescharacteristic
142#17988734C2211yescharacteristic
143#17988733C2211yescharacteristic, complemented
144#17988732C2211yescharacteristic
145#17988730C2211yescharacteristic
146#17988730C2211yescharacteristic
147#17988730C2211yescharacteristic, complemented
148#17988729C2211yescharacteristic, complemented
149#17988728C2211yescharacteristic
150#17988727C2211yescharacteristic, complemented
151#17988727C2211yescharacteristic, complemented
152#17988727C2211yescharacteristic, complemented
153#17988725C2211yescharacteristic
154#17988724C2211yescharacteristic, complemented
155#17988723C2211yescharacteristic
156#17988722C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic, complemented
158#17988720C2211yescharacteristic
159#17988693C2211yescharacteristic, complemented
160#17988691C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic, complemented
163#17988681C2211yescharacteristic, complemented
164#17988679C2211yescharacteristic, complemented
165#17988678C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167#17988658C2211yescharacteristic, complemented
168#17988658C2211yescharacteristic, complemented
169#17988655C2211yescharacteristic, complemented
170#17988655C2211yescharacteristic, complemented
171C8×C22⋊D73C2211yescharacteristic, complemented
172C8×C22⋊D73C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988645C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988594C2211yescharacteristic, complemented
178#17988594C2211yescharacteristic, complemented
179#17988584C2211yescharacteristic, complemented
180#17988584C2211yescharacteristic, complemented
181#17988581C2211yescharacteristic, complemented
182#17988581C2211yescharacteristic, complemented
183#17988580C2211yescharacteristic, complemented
184#17988580C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic
186#17988552C2211yescharacteristic
187C2×C22⋊#10596831C2211yescharacteristic, complemented
188#525×C73C2211yescharacteristic
189#525×C73C2211yescharacteristic, complemented
190#485×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic
193#482×C73C2211yescharacteristic, complemented
194#467×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#465×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#452×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic
201#449×C73C2211yescharacteristic, complemented
202C2×C22⋊C8×C73C2211yescharacteristic, complemented
203#14556638—42no—
204#14556638—42no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028—42no—
209C2×#11924028—42no—
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C2×#11924028C2311yescharacteristic
216C2×#11924027—21no—
217C2×#11924027—21no—
218C2×#11924027C2311yescharacteristic
219C2×#11924027C2311yescharacteristic
220C22×Dic146—21no—
221C22×Dic146C2311yescharacteristic
222C2×Q8×D73C2311yescharacteristic
223C2×Q8×D73C2311yescharacteristic
224C2×Q8×D73C2311yescharacteristic
225C22×D292C2311yescharacteristic
226C22×C22⋊D73—21no—
227C2×D4×D73C2311yescharacteristic
228C22×C4×D73—21no—
229#14556620—42no—
230#14556615—42no—
231#14556613—42no—
232#14556613—42no—
233#14556611—42no—
234#14556611—42no—
235C2×Dic292C2311yescharacteristic
236C2×Dic292C2311yescharacteristic
237C2×#11924018C2311yescharacteristic
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240Q16×D73—42no—
241C2×#11924017C2311yescharacteristic
242C2×#11924017C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924016C2311yescharacteristic
246C2×#11924016C2311yescharacteristic
247C2×#11924016C2311yescharacteristic
248C2×#11924015C2311yescharacteristic
249C2×#11924015C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251SD16×D73—42no—
252C2×D584C2311yescharacteristic
253C2×D584C2311yescharacteristic
254C2×#11924013C2311yescharacteristic
255C2×#11924013C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257C2×#11924011C2311yescharacteristic
258C2×#11924011C2311yescharacteristic
259C22×#10596831C2311yescharacteristic
260C22×#10596831C2311yescharacteristic
261C2×C8×D73C2311yescharacteristic
262C2×C8×D73C2311yescharacteristic
263#14556590—21no—
264#14556590C2311yescharacteristic
265#14556590C2311yescharacteristic
266#14556588—21no—
267#14556587—21no—
268#14556587—21no—
269#14556587—21no—
270#14556587—21no—
271#14556587—21no—
272#14556587C2311yescharacteristic
273#14556587C2311yescharacteristic
274#14556586—21no—
275#14556586—21no—
276#14556585—21no—
277#14556584—21no—
278#14556584—21no—
279#14556584—21no—
280#14556580C2311yescharacteristic
281#14556580C2311yescharacteristic
282#14556580C2311yescharacteristic
283#14556579—21no—
284#14556579—21no—
285#14556578—21no—
286#14556578—21no—
287#14556578—21no—
288#14556578C2311yescharacteristic
289#14556577—21no—
290#14556577—21no—
291#14556577—21no—
292#14556577—21no—
293#14556577—21no—
294#14556577—21no—
295#14556577—21no—
296#14556577—21no—
297#14556577—21no—
298#14556577—21no—
299#14556577—21no—
300#14556577—21no—
301#14556576—21no—
302#14556574—21no—
303#14556574—21no—
304#14556574D411yescharacteristic
305#14556574D411yescharacteristic
306#14556573—21no—
307#14556573—21no—
308#14556573—21no—
309#14556572—21no—
310#14556571—21no—
311#14556571C2311yescharacteristic
312#14556570—21no—
313#14556570D411yescharacteristic
314#14556570D411yescharacteristic
315#14556570C2311yescharacteristic
316#14556570C2311yescharacteristic
317#14556569—21no—
318#14556569—21no—
319#14556569—21no—
320#14556569—21no—
321#14556569—21no—
322#14556568—21no—
323#14556567C2311yescharacteristic
324#14556566C2311yescharacteristic
325#14556566C2311yescharacteristic
326#14556566C2311yescharacteristic
327#14556566C2311yescharacteristic
328#14556566C2311yescharacteristic
329#14556565—21no—
330#14556565—21no—
331#14556565D411yescharacteristic
332#14556565D411yescharacteristic
333#14556565C2311yescharacteristic
334#14556565C2311yescharacteristic
335#14556564—21no—
336#14556564—21no—
337#14556564—21no—
338#14556564—21no—
339#14556564—21no—
340#14556564—21no—
341#14556564—21no—
342#14556564—21no—
343#14556564—21no—
344#14556564—21no—
345#14556563—21no—
346#14556563—21no—
347#14556563—21no—
348#14556563—21no—
349#14556563—21no—
350#14556563—21no—
351#14556562—21no—
352#14556562—21no—
353#14556562C2311yescharacteristic
354#14556561—21no—
355#14556561—21no—
356#14556561—21no—
357#14556560—21no—
358#14556560D411yescharacteristic
359#14556560D411yescharacteristic
360#14556559—21no—
361#14556559—21no—
362#14556559—21no—
363#14556559—21no—
364#14556559—21no—
365Q8×Dic73C2311yescharacteristic
366C4×Dic146—21no—
367C4×Dic146—21no—
368C4×Dic146—21no—
369#14556556—21no—
370#14556556C2311yescharacteristic
371#14556556C2311yescharacteristic
372#14556556C2311yescharacteristic
373#14556556C2311yescharacteristic
374#14556556C2311yescharacteristic
375D4×Dic73C2311yescharacteristic
376#14556553—21no—
377#14556553—21no—
378#14556553—21no—
379#14556553—21no—
380#14556553—21no—
381#14556553C2311yescharacteristic
382C4×C22⋊D73—21no—
383C4×C22⋊D73—21no—
384C4×C22⋊D73—21no—
385C4×C22⋊D73C2311yescharacteristic
386C4×C22⋊D73C2311yescharacteristic
387C4×C22⋊D73C2311yescharacteristic
388C4×C22⋊D73C2311yescharacteristic
389#14556551—21no—
390#14556551—21no—
391#14556551—21no—
392#14556551—21no—
393#14556550C2311yescharacteristic
394#14556550C2311yescharacteristic
395#14556549C2311yescharacteristic
396#14556549C2311yescharacteristic
397#14556548—21no—
398#14556547—21no—
399#14556547—21no—
400#14556547—21no—
401C2×#11924005—21no—
402C22⋊C4×D73—21no—
403#14556524C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556522C2311yescharacteristic
406#14556522C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437C22⋊#10596831C2311yescharacteristic
438C22⋊#10596831C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556501C2311yescharacteristic
444#14556501C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C23×C4×C73C2311yescharacteristic
450C2×Q16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C22×C8×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456#123×C73—21no—
457#123×C73—21no—
458C22⋊Q8×C73C2311yescharacteristic
459C22⋊Q8×C73C2311yescharacteristic
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73C2311yescharacteristic
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#120×C73—21no—
467#120×C73—21no—
468C4×D4×C73—21no—
469C4×D4×C73—21no—
470C4×D4×C73—21no—
471C4×D4×C73—21no—
472#117×C73C2311yescharacteristic
473#117×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#107×C73C2311yescharacteristic
476#106×C73C2311yescharacteristic
477#106×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492#11924028—22no—
493#11924028—22no—
494#11924028—22no—
495#11924028—22no—
496#11924028—41no—
497#11924028—41no—
498#11924028—41no—
499#11924028—41no—
500#11924028—44no—
501#11924028—44no—
502#11924028—44no—
503#11924028—41no—
504#11924028—41no—
505#11924028—41no—
506#11924028—41no—
507#11924027—22no—
508#11924027—22no—
509#11924027—41no—
510#11924027—41no—
511#11924027—44no—
512#11924027—44no—
513C2×Dic146—21no—
514C2×Dic146—22no—
515C2×Dic146—22no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146—21no—
519C2×Dic146—21no—
520C2×Dic146—21no—
521C2×Dic146—44no—
522C2×Dic146C2×D411yescharacteristic
523C2×Dic146C2411yescharacteristic
524C2×Dic146C2411yescharacteristic
525C2×Dic146C2411yescharacteristic
526Q8×D73—22no—
527Q8×D73—22no—
528Q8×D73—41no—
529Q8×D73—41no—
530Q8×D73—41no—
531Q8×D73—41no—
532C2×D292—21no—
533C2×D292—21no—
534C2×D292—21no—
535C2×D292—21no—
536C2×D292—21no—
537C2×D292—21no—
538C2×D292—41no—
539C2×D292—41no—
540C2×D292C2×D411yescharacteristic
541C2×D292C2411yescharacteristic
542C2×D292C2411yescharacteristic
543C2×D292C2411yescharacteristic
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—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—21no—
555C2×C22⋊D73—21no—
556C2×C22⋊D73—21no—
557C2×C22⋊D73—21no—
558C2×C22⋊D73—21no—
559C2×C22⋊D73—44no—
560C2×C22⋊D73C2×D411yescharacteristic
561C2×C22⋊D73C2×D411yescharacteristic
562C2×C22⋊D73C2×D411yescharacteristic
563C2×C22⋊D73C2×D411yescharacteristic
564C2×C22⋊D73C2×D411yescharacteristic
565C2×C22⋊D73C2×D411yescharacteristic
566D4×D73—41no—
567D4×D73—41no—
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73—21no—
571C22×Dic73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—44no—
582C2×C4×D73C2411yescharacteristic
583C2×C4×D73C2411yescharacteristic
584Dic292—22no—
585Dic292—22no—
586#11924018—22no—
587#11924018—22no—
588#11924018—41no—
589#11924017—22no—
590#11924017—22no—
591#11924017—41no—
592#11924017—41no—
593#11924016—22no—
594#11924016—22no—
595#11924016—41no—
596#11924015—41no—
597#11924015—41no—
598#11924015—41no—
599D584—41no—
600D584—41no—
601#11924013—41no—
602#11924013—41no—
603#11924013—41no—
604#11924011—41no—
605#11924011—41no—
606C2×#10596831—41no—
607C2×#10596831—41no—
608C2×#10596831C2411yescharacteristic
609C2×#10596831C2411yescharacteristic
610C2×#10596831C2411yescharacteristic
611C2×#10596831C2411yescharacteristic
612C8×D73—41no—
613C8×D73—41no—
614C4⋊Dic73—21no—
615C4⋊Dic73—21no—
616C4⋊Dic73C2×D411yescharacteristic
617C4⋊Dic73C2×D411yescharacteristic
618C4⋊Dic73C2411yescharacteristic
619C4⋊Dic73C2411yescharacteristic
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007C2×D411yescharacteristic
631#11924007C2×D411yescharacteristic
632#11924007C2×D411yescharacteristic
633#11924007C2×D411yescharacteristic
634C22⋊Dic73—21no—
635C22⋊Dic73—21no—
636C22⋊Dic73—21no—
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73C2×D411yescharacteristic
642C22⋊Dic73C2×D411yescharacteristic
643C22⋊Dic73C2×D411yescharacteristic
644C22⋊Dic73C2×D411yescharacteristic
645C22⋊Dic73C2×D411yescharacteristic
646C22⋊Dic73C2×D411yescharacteristic
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
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#11924005C2×D411yescharacteristic
666#11924005C2×D411yescharacteristic
667#11924005C2×D411yescharacteristic
668#11924005C2×D411yescharacteristic
669C4×Dic73—21no—
670C4×Dic73—21no—
671C4×Dic73—21no—
672C4×Dic73—21no—
673C4×Dic73—21no—
674C4×Dic73—21no—
675C4×Dic73—21no—
676C4×Dic73—21no—
677C4×Dic73—21no—
678C4×Dic73C2411yescharacteristic
679C4×Dic73C2411yescharacteristic
680C24×C73C2×D411yescharacteristic
681#41×C73—41no—
682#41×C73—41no—
683#41×C73—41no—
684#41×C73—41no—
685C2×Q8×C73C2411yescharacteristic
686C2×Q8×C73C2411yescharacteristic
687C2×D4×C73—21no—
688C2×D4×C73—21no—
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73C2411yescharacteristic
694C2×D4×C73C2411yescharacteristic
695C22×C4×C73—21no—
696C22×C4×C73—21no—
697C22×C4×C73—41no—
698C22×C4×C73—41no—
699C22×C4×C73C2×D411yescharacteristic
700C22×C4×C73C2×D411yescharacteristic
701C22×C4×C73C2×D411yescharacteristic
702C22×C4×C73C2411yescharacteristic
703C22×C4×C73C2411yescharacteristic
704C22×C4×C73C2411yescharacteristic
705Q16×C73—41no—
706SD16×C73—41no—
707SD16×C73—41no—
708D8×C73—41no—
709C2×C8×C73—41no—
710C2×C8×C73—41no—
711C2×C8×C73C2411yescharacteristic
712C2×C8×C73C2411yescharacteristic
713C2×C8×C73C2411yescharacteristic
714C2×C8×C73C2411yescharacteristic
715C4⋊C4×C73—21no—
716C4⋊C4×C73—21no—
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73C2411yescharacteristic
720C4⋊C4×C73C2411yescharacteristic
721C4⋊C4×C73C2411yescharacteristic
722C4⋊C4×C73C2411yescharacteristic
723C22⋊C4×C73—21no—
724C22⋊C4×C73—21no—
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—
733C42×C73—21no—
734C42×C73—21no—
735C23×C73—21no—
736C23×C73—21no—
737C23×C73—41no—
738C23×C73—41no—
739C23×C73—41no—
740C23×C73C22×D411yescharacteristic
741C23×C73C22×D411yescharacteristic
742C23×C73C22×D411yescharacteristic
743C22×D73—21no—
744C22×D73—21no—
745C22×D73—21no—
746C22×D73—42no—
747C22×D73—81no—
748C22×D73—81no—
749C22×D73—81no—
750C22×D73—81no—
751C22×D73—81no—
752C22×D73C22×D411yescharacteristic
753C22×D73C22×D411yescharacteristic
754Q8×C73—21no—
755Q8×C73—21no—
756Q8×C73—21no—
757Q8×C73—21no—
758D4×C73—21no—
759D4×C73—21no—
760D4×C73—21no—
761D4×C73—21no—
762D4×C73—42no—
763D4×C73—81no—
764D4×C73—81no—
765D4×C73—81no—
766D4×C73—81no—
767D4×C73—81no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—21no—
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—41no—
781C2×C4×C73—41no—
782C2×C4×C73—41no—
783C2×C4×C73—42no—
784C2×C4×C73—81no—
785C2×C4×C73C22×D411yescharacteristic
786C2×C4×C73C22×D411yescharacteristic
787C2×C4×C73C22×D411yescharacteristic
788C2×C4×C73C2511yescharacteristic
789C22⋊D73—41no—
790C22⋊D73—41no—
791C22⋊D73—41no—
792C22⋊D73—41no—
793C22⋊D73—41no—
794C22⋊D73—41no—
795C22⋊D73—42no—
796C22⋊D73—42no—
797C22⋊D73—42no—
798C22⋊D73—42no—
799C22⋊D73—42no—
800C22⋊D73—42no—
801C22⋊D73—81no—
802C22⋊D73—81no—
803C22⋊D73—81no—
804C22⋊D73—81no—
805C22⋊D73—81no—
806C22⋊D73—81no—
807C22⋊D73—81no—
808C22⋊D73—81no—
809C22⋊D73—81no—
810C2×Dic73—24no—
811C2×Dic73—21no—
812C2×Dic73—21no—
813C2×Dic73—21no—
814C2×Dic73—21no—
815C2×Dic73—21no—
816C2×Dic73—42no—
817C2×Dic73—42no—
818C2×Dic73—81no—
819C2×Dic73C22×D411yescharacteristic
820C2×Dic73C22×D411yescharacteristic
821C2×Dic73C22×D411yescharacteristic
822C2×Dic73C22×D411yescharacteristic
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825D292—21no—
826D292—21no—
827D292—21no—
828D292—21no—
829D292—21no—
830D292—21no—
831D292—41no—
832D292—42no—
833D292—81no—
834D292—81no—
835D292—81no—
836D292—81no—
837D292—81no—
838C4×D73—21no—
839C4×D73—21no—
840C4×D73—21no—
841C4×D73—21no—
842C4×D73—42no—
843C4×D73—42no—
844C4×D73—42no—
845C4×D73—42no—
846C4×D73—42no—
847C4×D73—42no—
848C4×D73—81no—
849C4×D73—81no—
850C4×D73—81no—
851Dic146—24no—
852Dic146—21no—
853Dic146—21no—
854Dic146—21no—
855Dic146—21no—
856Dic146—41no—
857Dic146—42no—
858Dic146—42no—
859Dic146—81no—
860Dic146—81no—
861Dic146—81no—
862Dic146H(5,𝔽2)12yes—
863Dic146H(5,𝔽2)12yes—
864C8×C73—21no—
865C8×C73—21no—
866C8×C73—21no—
867C8×C73—21no—
868#10596831—21no—
869#10596831—21no—
870#10596831—21no—
871#10596831—21no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—21no—
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—41no—
887C22×C73—82no—
888C22×C73C23×D411yescharacteristic
889C2×D73—21no—
890C2×D73—21no—
891C2×D73—21no—
892C2×D73—21no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—41no—
896C2×D73—41no—
897C2×D73—41no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—41no—
904C2×D73—84no—
905C2×D73—162no—
906C4×C73—21no—
907C4×C73—21no—
908C4×C73—21no—
909C4×C73—41no—
910C4×C73—41no—
911C4×C73—41no—
912C4×C73—41no—
913C4×C73—41no—
914C4×C73—41no—
915C4×C73C2×H(5,𝔽2)11yescharacteristic
916C4×C73C2×H(5,𝔽2)11yescharacteristic
917Dic73—21no—
918Dic73—21no—
919Dic73—21no—
920Dic73—21no—
921Dic73—22no—
922Dic73—22no—
923Dic73—21no—
924Dic73—21no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928#61638—731nomaximal, Sylow
929C2×C73—41no—
930C2×C73—41no—
931C2×C73—41no—
932C2×C73—81no—
933C2×C73—81no—
934C2×C73#348411yescharacteristic
935C2×C73#358411yescharacteristic
936C2×C73#358411yescharacteristic
937D73—41no—
938D73—41no—
939D73—81no—
940D73—81no—
941D73—81no—
942#3540—731no—
943#3487—731no—
944#3321—731no—
945#3321—731no—
946#3313—731no—
947#3313—731no—
948#3305—731no—
949#3305—731no—
950#3304—731no—
951#3304—731no—
952#3285—731no—
953#3285—731no—
954#3282—731no—
955#3282—731no—
956#3271—731no—
957#3271—731no—
958#3268—731no—
959#3268—731no—
960#3224—731no—
961#3224—731no—
962#3200—731no—
963#3199—731no—
964#3191—731no—
965#3191D7311yescharacteristic, complemented
966#3121—731no—
967#3121—731no—
968#3011—731no—
969#3010—731no—
970#3002—731no—
971#3002—731no—
972#2977—731no—
973C73#6163811yescharacteristic, complemented, Sylow
974C2×2−1+4—731no—
975C22×#41—731no—
976C2×#137—731no—
977C2×AGL(1,ℤ/8)—731no—
978C2×#135—731no—
979C2×#135—731no—
980C2×#135—731no—
981C2×#135—731no—
982C22×Q16—731no—
983C22×SD16—731no—
984H(3,𝔽4)—1461no—
985#560—1461no—
986#559—1461no—
987#556—731no—
988#556—731no—
989#555—731no—
990#555—731no—
991#551—1461no—
992#550—731no—
993#550—731no—
994#550—731no—
995#550—731no—
996#550—1461no—
997#550—1461no—
998#548—731no—
999#548—731no—
1000#548—731no—
1001#548—731no—
1002#548—731no—
1003#548—731no—
1004#548—1461no—
1005#548—1461no—
1006#546—731no—
1007#546—731no—
1008#542—731no—
1009#542—731no—
1010#542—1461no—
1011#542—1461no—
1012#538—1461no—
1013#538—1461no—
1014#536—731no—
1015#535—731no—
1016#535—731no—
1017#535—731no—
1018#535—1461no—
1019#535—1461no—
1020#525—731no—
1021#525—731no—
1022#525—1461no—
1023#525—1461no—
1024#525C2×D7311yescharacteristic
1025#525C2×D7311yescharacteristic, complemented
1026#519—731no—
1027#496—731no—
1028#496—731no—
1029#495—731no—
1030#495—731no—
1031#489—731no—
1032#489—731no—
1033#486—731no—
1034#486—731no—
1035#485—731no—
1036#485—731no—
1037#485C2×D7311yescharacteristic, complemented
1038#485C2×D7311yescharacteristic, complemented
1039#482—731no—
1040#482—731no—
1041#482—731no—
1042#482—731no—
1043#482—731no—
1044#482—731no—
1045#482C2×D7311yescharacteristic
1046#482C2×D7311yescharacteristic, complemented
1047#477—731no—
1048#477—731no—
1049#475—731no—
1050#475—731no—
1051#469—731no—
1052#469—731no—
1053#468—731no—
1054#468—731no—
1055#467—731no—
1056#467C2×D7311yescharacteristic, complemented
1057#466—731no—
1058#466—731no—
1059#466—731no—
1060#466C2×D7311yescharacteristic, complemented
1061#465—731no—
1062#465—731no—
1063#465—731no—
1064#465—731no—
1065#465C2×D7311yescharacteristic, complemented
1066#465C2×D7311yescharacteristic, complemented
1067#464—731no—
1068#464—731no—
1069#464—731no—
1070#464—731no—
1071#464—731no—
1072#464—731no—
1073#463—731no—
1074#463—731no—
1075#460—731no—
1076#460—731no—
1077#459—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#452C2×D7311yescharacteristic, complemented
1088#452C2×D7311yescharacteristic, complemented
1089#451—731no—
1090#451—731no—
1091#451—731no—
1092#451—731no—
1093#450—731no—
1094#450—731no—
1095#449—731no—
1096#449—731no—
1097#449—731no—
1098#449—731no—
1099#449—731no—
1100#449—731no—
1101#449—731no—
1102#449—731no—
1103#449C2×D7311yescharacteristic
1104#449C2×D7311yescharacteristic, complemented
1105#448—731no—
1106#448—731no—
1107#448—731no—
1108#448—731no—
1109#448—731no—
1110#448—731no—
1111#447—731no—
1112#447—731no—
1113#447—731no—
1114#447—731no—
1115#441—731no—
1116#441—731no—
1117#440—731no—
1118#440—731no—
1119C4×Q16—731no—
1120C4×Q16—731no—
1121C4×SD16—731no—
1122C4×SD16—731no—
1123#435—731no—
1124#435—731no—
1125#435—731no—
1126#435—731no—
1127C8×D4—731no—
1128C8×D4—731no—
1129C8×D4—731no—
1130C8×D4—731no—
1131#433—731no—
1132#433—731no—
1133#419—731no—
1134#419—731no—
1135#416—731no—
1136#416—731no—
1137#416—731no—
1138#416—731no—
1139#416—731no—
1140#416—731no—
1141#408—731no—
1142#408—731no—
1143C2×C22⋊C8—731no—
1144C2×C22⋊C8C2×D7311yescharacteristic, complemented
11452−1+4—2922no—
11462−1+4—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
1163C2×#41C22×D7311yescharacteristic
1164C22×Q8—731no—
1165C22×Q8—731no—
1166C22×Q8—731no—
1167C22×Q8—731no—
1168C22×Q8—1461no—
1169C22×D4—731no—
1170C22×D4—731no—
1171C22×D4—1461no—
1172C23×C4—1461no—
1173C23×C4C22×D7311yescharacteristic
1174#137—2922no—
1175AGL(1,ℤ/8)—2922no—
1176#135—2922no—
1177#135—2922no—
1178#135—2922no—
1179#135—2922no—
1180C2×Q16—2922no—
1181C2×Q16—731no—
1182C2×Q16—731no—
1183C2×Q16—731no—
1184C2×Q16—731no—
1185C2×Q16—731no—
1186C2×Q16C22×D7311yescharacteristic
1187C2×SD16—2922no—
1188C2×SD16—731no—
1189C2×SD16—731no—
1190C2×SD16—731no—
1191C2×SD16—731no—
1192C2×SD16—731no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16—731no—
1197C2×SD16—731no—
1198C2×SD16C22×D7311yescharacteristic
1199C2×SD16C22×D7311yescharacteristic
1200C2×D8—731no—
1201C2×D8—731no—
1202C2×D8—731no—
1203C2×D8—731no—
1204C2×D8—731no—
1205C2×D8C22×D7311yescharacteristic
1206C2×M16—731no—
1207C2×M16—731no—
1208C22×C8—731no—
1209C22×C8—731no—
1210C22×C8—731no—
1211C22×C8—731no—
1212C22×C8C22×D7311yescharacteristic
1213C22×C8C22×D7311yescharacteristic
1214C4⋊Q8—731no—
1215C4⋊Q8—731no—
1216C4⋊Q8—1461no—
1217#127—731no—
1218#127—731no—
1219#127—1461no—
1220#127—1461no—
1221#127—1461no—
1222#127—1461no—
1223#127—1461no—
1224#127—1461no—
1225#126—1461no—
1226#126—1461no—
1227#126—1461no—
1228#126—1461no—
1229#126—1461no—
1230#126—1461no—
1231#124—731no—
1232#124—731no—
1233#124—731no—
1234#124—731no—
1235#124—1461no—
1236#124—1461no—
1237#124—1461no—
1238#124—1461no—
1239#124—1461no—
1240#124—1461no—
1241#124—1461no—
1242#124—1461no—
1243#124—1461no—
1244#124—1461no—
1245#124—1461no—
1246#124—1461no—
1247#124—1461no—
1248#124—1461no—
1249#124—1461no—
1250#124—1461no—
1251#124—1461no—
1252#123—21no—
1253#123—21no—
1254#123—731no—
1255#123—731no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263C22⋊Q8—731no—
1264C22⋊Q8—731no—
1265C22⋊Q8—731no—
1266C22⋊Q8—731no—
1267C22⋊Q8—731no—
1268C22⋊Q8—731no—
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⋊Q8C22×D7311yescharacteristic
1278C22⋊Q8C22×D7311yescharacteristic
1279C22⋊Q8C22×D7311yescharacteristic
1280C22⋊Q8C22×D7311yescharacteristic
1281#121—731no—
1282#121—731no—
1283#121—731no—
1284#121—731no—
1285#121—731no—
1286#121—731no—
1287#121—731no—
1288#121—731no—
1289#121—731no—
1290#121—731no—
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#121—1461no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121C22×D7311yescharacteristic
1312#121C22×D7311yescharacteristic
1313#121C22×D7311yescharacteristic
1314#121C22×D7311yescharacteristic
1315#120—21no—
1316#120—21no—
1317#120—731no—
1318#120—731no—
1319#120—1461no—
1320#120—1461no—
1321#120—1461no—
1322#120—1461no—
1323#120—1461no—
1324#120—1461no—
1325#120—1461no—
1326#120—1461no—
1327#120—1461no—
1328C4×Q8—731no—
1329C4×Q8—731no—
1330C4×Q8—731no—
1331C4×Q8—731no—
1332C4×Q8—731no—
1333C4×Q8—731no—
1334C4×Q8—1461no—
1335C4×Q8—1461no—
1336C4×Q8—1461no—
1337C4×Q8—1461no—
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—21no—
1341C4×D4—21no—
1342C4×D4—731no—
1343C4×D4—731no—
1344C4×D4—731no—
1345C4×D4—731no—
1346C4×D4—731no—
1347C4×D4—731no—
1348C4×D4—1461no—
1349C4×D4—1461no—
1350C4×D4—1461no—
1351C4×D4—1461no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360#117—731no—
1361#117—731no—
1362#117—731no—
1363#117—731no—
1364#117—1461no—
1365#117—1461no—
1366#117—1461no—
1367#117—1461no—
1368#117C22×D7311yescharacteristic
1369#117C22×D7311yescharacteristic
1370C2×C22⋊C4—1461no—
1371C2×C22⋊C4—1461no—
1372#107—731no—
1373#107—731no—
1374#107C22×D7311yescharacteristic
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⋊C8—731no—
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#103C22×D7311yescharacteristic
1397#103C22×D7311yescharacteristic
1398#103C22×D7311yescharacteristic
1399#103C22×D7311yescharacteristic
1400#102—731no—
1401#102—731no—
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#102—731no—
1411#102—731no—
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⋊C8C22×D7311yescharacteristic
1425C22⋊C8C22×D7311yescharacteristic
1426C22⋊C8C22×D7311yescharacteristic
1427C22⋊C8C22×D7311yescharacteristic
1428#97—731no—
1429#97—731no—
1430C4×C8—731no—
1431C4×C8—731no—
1432C24—1461no—
1433C24—1461no—
1434C24D4×D7311yescharacteristic
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—2921no—
1440#41—2921no—
1441#41—2921no—
1442#41—2921no—
1443#41—2921no—
1444#41—2921no—
1445#41—2921no—
1446#41—2921no—
1447#41—2924no—
1448#41—2924no—
1449#41—2924no—
1450#41—2921no—
1451#41—2921no—
1452#41—2924no—
1453#41—2924no—
1454#41—1462no—
1455#41—1462no—
1456#41—1462no—
1457#41—1462no—
1458#41—1462no—
1459#41—1462no—
1460C2×Q8—2924no—
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—1461no—
1470C2×Q8—1461no—
1471C2×Q8—1461no—
1472C2×Q8—1461no—
1473C2×Q8—1461no—
1474C2×Q8—1462no—
1475C2×Q8—1462no—
1476C2×Q8—1462no—
1477C2×Q8—1462no—
1478C2×Q8—1461no—
1479C2×Q8C23×D7311yescharacteristic
1480C2×Q8C23×D7311yescharacteristic
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—2921no—
1488C2×D4—2921no—
1489C2×D4—2921no—
1490C2×D4—2921no—
1491C2×D4—2924no—
1492C2×D4—731no—
1493C2×D4—731no—
1494C2×D4—731no—
1495C2×D4—731no—
1496C2×D4—731no—
1497C2×D4—731no—
1498C2×D4—731no—
1499C2×D4—731no—
1500C2×D4—731no—
1501C2×D4—731no—
1502C2×D4—1461no—
1503C2×D4—1461no—
1504C2×D4—1461no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4C23×D7311yescharacteristic
1524C2×D4C23×D7311yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—41no—
1528C22×C4—41no—
1529C22×C4—2924no—
1530C22×C4—731no—
1531C22×C4—731no—
1532C22×C4—1461no—
1533C22×C4—1461no—
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×C4D4×D7311yescharacteristic
1546C22×C4D4×D7311yescharacteristic
1547C22×C4D4×D7311yescharacteristic
1548C22×C4C23×D7311yescharacteristic
1549C22×C4C23×D7311yescharacteristic
1550C22×C4C23×D7311yescharacteristic
1551Q16—41no—
1552Q16—2921no—
1553Q16—1462no—
1554Q16—1462no—
1555Q16—1462no—
1556Q16—1462no—
1557SD16—41no—
1558SD16—41no—
1559SD16—2921no—
1560SD16—2921no—
1561SD16—2921no—
1562SD16—2921no—
1563SD16—2921no—
1564SD16—2921no—
1565SD16—1462no—
1566SD16—1462no—
1567SD16—1462no—
1568SD16—1462no—
1569D8—41no—
1570D8—2921no—
1571D8—2921no—
1572D8—2921no—
1573D8—2921no—
1574D8—2921no—
1575M16—2921no—
1576M16—2921no—
1577C2×C8—41no—
1578C2×C8—41no—
1579C2×C8—2921no—
1580C2×C8—2921no—
1581C2×C8—2921no—
1582C2×C8—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—731no—
1596C4⋊C4—731no—
1597C4⋊C4—731no—
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⋊C4C23×D7311yescharacteristic
1616C4⋊C4C23×D7311yescharacteristic
1617C4⋊C4C23×D7311yescharacteristic
1618C4⋊C4C23×D7311yescharacteristic
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—731no—
1630C22⋊C4—731no—
1631C22⋊C4—731no—
1632C22⋊C4—731no—
1633C22⋊C4—731no—
1634C22⋊C4—731no—
1635C22⋊C4—731no—
1636C22⋊C4—731no—
1637C22⋊C4—731no—
1638C22⋊C4—731no—
1639C22⋊C4—1461no—
1640C22⋊C4—1461no—
1641C22⋊C4—1461no—
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—
1664C42—21no—
1665C42—21no—
1666C42—731no—
1667C42—731no—
1668C42—1461no—
1669C42—1461no—
1670C42—1461no—
1671C42—1461no—
1672C42—1461no—
1673C42—1461no—
1674C42—1461no—
1675C42—1461no—
1676C42—1461no—
1677C23—21no—
1678C23—21no—
1679C23—41no—
1680C23—41no—
1681C23—41no—
1682C23—2922no—
1683C23—5841no—
1684C23—5841no—
1685C23—5841no—
1686C23—5841no—
1687C23—5841no—
1688C23—731no—
1689C23—731no—
1690C23—1461no—
1691C23—1461no—
1692C23—1461no—
1693C23C2×D4×D7311yescharacteristic
1694C23C2×D4×D7311yescharacteristic
1695C23C2×D4×D7311yescharacteristic
1696Q8—21no—
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—2921no—
1701Q8—2922no—
1702Q8—2922no—
1703Q8—5841no—
1704Q8—5841no—
1705Q8—5841no—
1706Q8—732no—
1707Q8—732no—
1708Q8—1464no—
1709Q8—1461no—
1710Q8—1461no—
1711Q8—1461no—
1712Q8—1461no—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—21no—
1717D4—42no—
1718D4—81no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4—81no—
1723D4—2922no—
1724D4—2921no—
1725D4—2922no—
1726D4—2922no—
1727D4—2922no—
1728D4—2922no—
1729D4—2921no—
1730D4—2921no—
1731D4—2921no—
1732D4—2921no—
1733D4—2921no—
1734D4—2921no—
1735D4—2922no—
1736D4—2922no—
1737D4—5841no—
1738D4—5841no—
1739D4—5841no—
1740D4—5841no—
1741D4—5841no—
1742D4—5841no—
1743D4—5841no—
1744D4—5841no—
1745D4—5841no—
1746D4—5841no—
1747D4—5841no—
1748D4—5841no—
1749D4—5841no—
1750D4—5841no—
1751D4—1461no—
1752D4—1461no—
1753D4—1461no—
1754D4—1461no—
1755D4—1461no—
1756D4—1461no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—42no—
1773C2×C4—81no—
1774C2×C4—2922no—
1775C2×C4—2922no—
1776C2×C4—2922no—
1777C2×C4—2922no—
1778C2×C4—2922no—
1779C2×C4—2922no—
1780C2×C4—2922no—
1781C2×C4—2922no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—5841no—
1785C2×C4—5841no—
1786C2×C4—731no—
1787C2×C4—731no—
1788C2×C4—731no—
1789C2×C4—731no—
1790C2×C4—731no—
1791C2×C4—731no—
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×C4C2×D4×D7311yescharacteristic
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C24×D7311yescharacteristic
1806C8—21no—
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—1461no—
1811C8—1461no—
1812C8—1461no—
1813C8—1461no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—82no—
1830C22—2921no—
1831C22—2921no—
1832C22—2921no—
1833C22—2921no—
1834C22—2921no—
1835C22—2921no—
1836C22—2921no—
1837C22—2921no—
1838C22—2921no—
1839C22—5844no—
1840C22—11682no—
1841C22—1461no—
1842C22—1461no—
1843C22—1461no—
1844C22—1461no—
1845C22—1461no—
1846C22—1461no—
1847C22C22×D4×D7311yescharacteristic
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—2921no—
1858C4—2921no—
1859C4—2921no—
1860C4—1462no—
1861C4—1462no—
1862C4—1461no—
1863C4—1461no—
1864C4—1461no—
1865C4—1461no—
1866C4—1461no—
1867C4—1461no—
1868C4H(5,𝔽2)×D7311yescharacteristic
1869C4H(5,𝔽2)×D7311yescharacteristic
1870C2—41no—
1871C2—41no—
1872C2—41no—
1873C2—81no—
1874C2—81no—
1875C2—2921no—
1876C2—2921no—
1877C2—5841no—
1878C2—5841no—
1879C2—5841no—
1880C2#2262356311yescharacteristic
1881C2#2262470011yescharacteristic
1882C2#2262470411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3191C2
socleC22×C73C23×D4
hypercenter#3191D73
hypocenterC73#61638
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3191

Complements

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

NH ≅ G/Ntype
1. #22624199C2semidirect
2. #22623585C2semidirect
3. #22622123C2semidirect
4. #22622115C2semidirect
5. #22622003C2semidirect
6. #22621995C2semidirect
7. #22621879C2semidirect
8. #22621876C2semidirect
9. #22621868C2semidirect
10. #22621865C2semidirect
11. #22621675C2semidirect
12. #22621670C2semidirect
13. #22621645C2semidirect
14. #22621636C2semidirect
15. #22621513C2semidirect
16. #22621509C2semidirect
17. #22621475C2semidirect
18. #22621468C2semidirect
19. #22621031C2semidirect
20. #22621023C2semidirect
21. #22620802C2semidirect
22. #22620795C2semidirect
23. #22620719C2semidirect
24. #22620163C2semidirect
25. #22620155C2semidirect
26. #22619223C2semidirect
27. #22619214C2semidirect
28. #22619153C2semidirect
29. #22619147C2semidirect
30. #22618985C2semidirect
31. C73×#3191C2semidirect
33. C22×#11924028C22semidirect
34. C2×#14556620C22semidirect
35. C2×#14556615C22semidirect
40. C2×Q16×D73C22semidirect
41. C2×SD16×D73C22semidirect
45. #17989308C22semidirect
46. #17989305C22semidirect
47. #17989301C22semidirect
48. #17989300C22semidirect
54. #17989255C22semidirect
55. #17989255C22semidirect
58. #17989247C22semidirect
59. #17989247C22semidirect
60. #17989247C22semidirect
63. #17989244C22semidirect
64. #17989234C22semidirect
65. #17989225C22semidirect
77. #17989151C22semidirect
82. #17989064C22semidirect
83. #17988975C22semidirect
84. #17988973C22semidirect
85. #17988972C22semidirect
86. #17988968C22semidirect
87. #17988948C22semidirect
88. #17988948C22semidirect
89. #17988932C22semidirect
90. #17988932C22semidirect
91. #17988928C22semidirect
92. #17988925C22semidirect
93. #17988914C22semidirect
94. #17988914C22semidirect
95. #17988913C22semidirect
96. #17988913C22semidirect
98. #17988908C22semidirect
99. #17988881C22semidirect
100. #17988881C22semidirect
101. #17988871C22semidirect
102. #17988871C22semidirect
103. #17988841C22semidirect
104. #17988839C22semidirect
105. #17988836C22semidirect
106. #17988834C22semidirect
107. #17988826C22semidirect
108. #17988824C22semidirect
109. #17988822C22semidirect
110. #17988821C22semidirect
111. #17988819C22semidirect
112. #17988818C22semidirect
113. #17988817C22semidirect
114. #17988814C22semidirect
115. #17988812C22semidirect
116. #17988812C22semidirect
117. #17988812C22semidirect
118. #17988811C22semidirect
119. #17988808C22semidirect
120. #17988808C22semidirect
121. #17988805C22semidirect
122. #17988804C22semidirect
123. #17988786C22semidirect
124. #17988785C22semidirect
125. #17988781C22semidirect
126. #17988780C22semidirect
127. #17988751C22semidirect
128. #17988751C22semidirect
129. #17988750C22semidirect
130. #17988749C22semidirect
131. #17988747C22semidirect
132. #17988747C22semidirect
133. #17988747C22semidirect
134. #17988746C22semidirect
135. #17988745C22semidirect
136. #17988744C22semidirect
137. #17988742C22semidirect
138. #17988741C22semidirect
139. #17988740C22semidirect
140. #17988737C22semidirect
143. #17988733C22semidirect
147. #17988730C22semidirect
148. #17988729C22semidirect
150. #17988727C22semidirect
151. #17988727C22semidirect
152. #17988727C22semidirect
154. #17988724C22semidirect
156. #17988722C22semidirect
157. #17988722C22semidirect
159. #17988693C22semidirect
160. #17988691C22semidirect
161. #17988686C22semidirect
162. #17988684C22semidirect
163. #17988681C22semidirect
164. #17988679C22semidirect
165. #17988678C22semidirect
166. #17988674C22semidirect
167. #17988658C22semidirect
168. #17988658C22semidirect
169. #17988655C22semidirect
170. #17988655C22semidirect
171. C8×C22⋊D73C22semidirect
172. C8×C22⋊D73C22semidirect
173. #17988650C22semidirect
174. #17988650C22semidirect
175. #17988645C22semidirect
176. #17988645C22semidirect
177. #17988594C22semidirect
178. #17988594C22semidirect
179. #17988584C22semidirect
180. #17988584C22semidirect
181. #17988581C22semidirect
182. #17988581C22semidirect
183. #17988580C22semidirect
184. #17988580C22semidirect
187. C2×C22⋊#10596831C22semidirect
189. #525×C73C22semidirect
190. #485×C73C22semidirect
191. #485×C73C22semidirect
193. #482×C73C22semidirect
194. #467×C73C22semidirect
195. #466×C73C22semidirect
196. #465×C73C22semidirect
197. #465×C73C22semidirect
198. #452×C73C22semidirect
199. #452×C73C22semidirect
201. #449×C73C22semidirect
202. C2×C22⋊C8×C73C22semidirect
965. #3191D73semidirect
973. C73#61638semidirect
1025. #525C2×D73semidirect
1037. #485C2×D73semidirect
1038. #485C2×D73semidirect
1046. #482C2×D73semidirect
1056. #467C2×D73semidirect
1060. #466C2×D73semidirect
1065. #465C2×D73semidirect
1066. #465C2×D73semidirect
1087. #452C2×D73semidirect
1088. #452C2×D73semidirect
1104. #449C2×D73semidirect
1144. C2×C22⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226241992
#226235852
#226221232
#226221152
#226220032
#226219952
#226218792
#226218762
#226218682
#226218652
#226216752
#226216702
#226216452
#226216362
#226215132
#226215092
#226214752
#226214682
#226210312
#226210232
#226208022
#226207952
#226207192
#226201632
#226201552
#226192232
#226192142
#226191532
#226191472
#226189852
C73×#31912
#6163873