Finite Group Databasebeta

← #33972535

Subgroups — #33972535

Order 18688.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624225C211yesmaximal, characteristic, complemented
2#22623599C211yesmaximal, characteristic, complemented
3#22622200C211yesmaximal, characteristic, complemented
4#22622161C211yesmaximal, characteristic, complemented
5#22622135C211yesmaximal, characteristic, complemented
6#22622006C211yesmaximal, characteristic, complemented
7#22621994C211yesmaximal, characteristic, complemented
8#22621950C211yesmaximal, characteristic, complemented
9#22621938C211yesmaximal, characteristic, complemented
10#22621590C211yesmaximal, characteristic, complemented
11#22621587C211yesmaximal, characteristic, complemented
12#22621567C211yesmaximal, characteristic, complemented
13#22621528C211yesmaximal, characteristic, complemented
14#22621512C211yesmaximal, characteristic, complemented
15#22621479C211yesmaximal, characteristic, complemented
16#22621448C211yesmaximal, characteristic, complemented
17#22621421C211yesmaximal, characteristic, complemented
18#22621028C211yesmaximal, characteristic, complemented
19#22621002C211yesmaximal, characteristic, complemented
20#22620831C211yesmaximal, characteristic, complemented
21#22620808C211yesmaximal, characteristic, complemented
22#22620746C211yesmaximal, characteristic, complemented
23#22620739C211yesmaximal, characteristic, complemented
24#22620200C211yesmaximal, characteristic, complemented
25#22620151C211yesmaximal, characteristic, complemented
26#22619237C211yesmaximal, characteristic, complemented
27#22619205C211yesmaximal, characteristic, complemented
28#22619192C211yesmaximal, characteristic, complemented
29#22619174C211yesmaximal, characteristic, complemented
30#22618988C211yesmaximal, characteristic, complemented
31C73×#3333C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C2×#14556624C2211yescharacteristic, complemented
35C2×#14556623C2211yescharacteristic, complemented
36C2×#14556623C2211yescharacteristic, complemented
37C2×#14556621C2211yescharacteristic, complemented
38C2×#14556619C2211yescharacteristic, complemented
39C2×#14556618C2211yescharacteristic, complemented
40C2×#14556611C2211yescharacteristic, complemented
41C2×SD16×D73C2211yescharacteristic, complemented
42#17989341—21no—
43#17989333—21no—
44#17989311C2211yescharacteristic, complemented
45#17989295—21no—
46#17989285C2211yescharacteristic, complemented
47#17989283—21no—
48#17989272C2211yescharacteristic, complemented
49#17989256C2211yescharacteristic
50#17989250C2211yescharacteristic, complemented
51#17989249C2211yescharacteristic
52#17989249C2211yescharacteristic, complemented
53#17989246C2211yescharacteristic, complemented
54#17989244C2211yescharacteristic
55#17989239C2211yescharacteristic, complemented
56#17989234—21no—
57#17989234C2211yescharacteristic
58#17989233—21no—
59#17989233C2211yescharacteristic
60#17989222—21no—
61#17989222C2211yescharacteristic
62#17989221—21no—
63#17989221C2211yescharacteristic
64#17989211C2211yescharacteristic, complemented
65#17989210—21no—
66#17989195C2211yescharacteristic, complemented
67#17989185—21no—
68#17989177—21no—
69#17989170—21no—
70#17989168C2211yescharacteristic, complemented
71#17989166—21no—
72#17989166C2211yescharacteristic
73#17989160C2211yescharacteristic, complemented
74#17989150—21no—
75#17989150C2211yescharacteristic
76#17989100C2211yescharacteristic, complemented
77#17989096—21no—
78#17989096C2211yescharacteristic
79C2×#14556571C2211yescharacteristic, complemented
80#121×D73—21no—
81#121×D73C2211yescharacteristic
82#17989069C2211yescharacteristic
83#17988978C2211yescharacteristic, complemented
84#17988974C2211yescharacteristic, complemented
85#17988971C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic, complemented
87#17988950C2211yescharacteristic, complemented
88#17988949C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988930C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988922C2211yescharacteristic, complemented
94#17988916C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988910C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic, complemented
99#17988900C2211yescharacteristic, complemented
100#17988892C2211yescharacteristic, complemented
101#17988890C2211yescharacteristic, complemented
102#17988864C2211yescharacteristic, complemented
103#17988845C2211yescharacteristic, complemented
104#17988840C2211yescharacteristic, complemented
105#17988838C2211yescharacteristic, complemented
106#17988835C2211yescharacteristic, complemented
107#17988834C2211yescharacteristic, complemented
108#17988834C2211yescharacteristic, complemented
109#17988834C2211yescharacteristic, complemented
110#17988832C2211yescharacteristic, complemented
111#17988832C2211yescharacteristic, complemented
112#17988832C2211yescharacteristic, complemented
113#17988829C2211yescharacteristic, complemented
114#17988826C2211yescharacteristic, complemented
115#17988822C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988809C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic, complemented
121#17988803C2211yescharacteristic, complemented
122#17988801C2211yescharacteristic, complemented
123#17988795C2211yescharacteristic, complemented
124#17988791C2211yescharacteristic, complemented
125#17988786C2211yescharacteristic, complemented
126#17988784C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic
129#17988752C2211yescharacteristic
130#17988752C2211yescharacteristic, complemented
131#17988751C2211yescharacteristic, complemented
132#17988750C2211yescharacteristic, complemented
133#17988750C2211yescharacteristic, complemented
134#17988749C2211yescharacteristic, complemented
135#17988748C2211yescharacteristic
136#17988747C2211yescharacteristic, complemented
137#17988746C2211yescharacteristic, complemented
138#17988744C2211yescharacteristic, complemented
139#17988744C2211yescharacteristic, complemented
140#17988744C2211yescharacteristic, complemented
141#17988740C2211yescharacteristic, complemented
142#17988739C2211yescharacteristic, complemented
143#17988739C2211yescharacteristic, complemented
144#17988739C2211yescharacteristic, complemented
145#17988739C2211yescharacteristic, complemented
146#17988739C2211yescharacteristic, complemented
147#17988737C2211yescharacteristic, complemented
148#17988736C2211yescharacteristic, complemented
149#17988735C2211yescharacteristic
150#17988735C2211yescharacteristic, complemented
151#17988735C2211yescharacteristic, complemented
152#17988734C2211yescharacteristic, complemented
153#17988733C2211yescharacteristic, complemented
154#17988732C2211yescharacteristic, complemented
155#17988731C2211yescharacteristic, complemented
156#17988730C2211yescharacteristic, complemented
157#17988728C2211yescharacteristic, complemented
158#17988725C2211yescharacteristic, complemented
159#17988724C2211yescharacteristic, complemented
160#17988722C2211yescharacteristic, complemented
161#17988722C2211yescharacteristic, complemented
162#17988692C2211yescharacteristic, complemented
163#17988690C2211yescharacteristic, complemented
164#17988686C2211yescharacteristic, complemented
165#17988685C2211yescharacteristic, complemented
166#17988679C2211yescharacteristic, complemented
167C4×#11924017C2211yescharacteristic, complemented
168#17988669C2211yescharacteristic, complemented
169#17988666C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic, complemented
171#17988662C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic, complemented
174#17988656C2211yescharacteristic, complemented
175#17988655C2211yescharacteristic, complemented
176#17988647C2211yescharacteristic, complemented
177#17988646C2211yescharacteristic, complemented
178#17988594C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988590C2211yescharacteristic, complemented
181#17988586C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic, complemented
183C2×#14556511C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988550C2211yescharacteristic, complemented
187#17988549C2211yescharacteristic, complemented
188#554×C73C2211yescharacteristic, complemented
189#550×C73C2211yescharacteristic
190#486×C73C2211yescharacteristic, complemented
191#480×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#477×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199C4×Q16×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202#417×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924028—21no—
209C2×#11924028—21no—
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924027—21no—
214C2×#11924027C2311yescharacteristic
215#41×D73—42no—
216#41×D73—42no—
217C22×Dic146C2311yescharacteristic
218C2×Q8×D73C2311yescharacteristic
219C2×Q8×D73C2311yescharacteristic
220C22×D292—21no—
221C22×D292C2311yescharacteristic
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C22×C4×D73—21no—
232C22×C4×D73C2311yescharacteristic
233#14556624—42no—
234#14556623—42no—
235#14556623—42no—
236#14556621—42no—
237#14556619—42no—
238#14556618—42no—
239#14556611—42no—
240C2×Dic292C2311yescharacteristic
241C2×Dic292C2311yescharacteristic
242C2×#11924018C2311yescharacteristic
243C2×#11924018C2311yescharacteristic
244C2×#11924018C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924017C2311yescharacteristic
248C2×#11924017C2311yescharacteristic
249C2×#11924017C2311yescharacteristic
250C2×#11924016C2311yescharacteristic
251C2×#11924016C2311yescharacteristic
252C2×#11924016C2311yescharacteristic
253C2×#11924016C2311yescharacteristic
254C2×#11924015C2311yescharacteristic
255C2×#11924015C2311yescharacteristic
256C2×#11924015C2311yescharacteristic
257SD16×D73—42no—
258C2×D584C2311yescharacteristic
259C2×D584C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262C2×#11924012C2311yescharacteristic
263C2×#11924011C2311yescharacteristic
264C2×#11924011C2311yescharacteristic
265C2×#11924011C2311yescharacteristic
266C22×#10596831C2311yescharacteristic
267C2×C8×D73C2311yescharacteristic
268#14556590—21no—
269#14556590—21no—
270#14556589C2311yescharacteristic
271#14556587—21no—
272#14556587C2311yescharacteristic
273#14556586—21no—
274#14556586—21no—
275#14556586—21no—
276#14556586—21no—
277#14556586—21no—
278#14556586—21no—
279#14556585—21no—
280#14556583—21no—
281#14556582C2311yescharacteristic
282#14556581—21no—
283#14556581—21no—
284#14556580—21no—
285#14556580—21no—
286#14556579—21no—
287#14556579—21no—
288#14556579C2311yescharacteristic
289#14556579C2311yescharacteristic
290#14556578—21no—
291#14556578C2311yescharacteristic
292#14556577—21no—
293#14556577—21no—
294#14556576—21no—
295#14556576—21no—
296#14556576—21no—
297#14556576—21no—
298#14556576—21no—
299#14556576—21no—
300#14556576D411yescharacteristic
301#14556574—21no—
302#14556573—21no—
303#14556573—21no—
304#14556573—21no—
305#14556573D411yescharacteristic
306#14556571—21no—
307#14556571—21no—
308#14556571—21no—
309#14556571—21no—
310#14556571—21no—
311#14556571C2311yescharacteristic
312#14556571C2311yescharacteristic
313#14556571C2311yescharacteristic
314#14556571C2311yescharacteristic
315#14556571C2311yescharacteristic
316#14556571C2311yescharacteristic
317#14556570—21no—
318#14556570C2311yescharacteristic
319#14556570C2311yescharacteristic
320#14556569—21no—
321#14556569—21no—
322#14556569D411yescharacteristic
323#14556568—21no—
324#14556568—21no—
325#14556568D411yescharacteristic
326#14556567—21no—
327#14556567C2311yescharacteristic
328#14556566—21no—
329#14556566—21no—
330#14556566—21no—
331#14556566C2311yescharacteristic
332#14556566C2311yescharacteristic
333#14556566C2311yescharacteristic
334#14556565—21no—
335#14556565—21no—
336#14556565—21no—
337#14556565—21no—
338#14556565C2311yescharacteristic
339#14556565C2311yescharacteristic
340#14556564—21no—
341#14556564—21no—
342#14556564—21no—
343#14556564—21no—
344#14556564—21no—
345#14556564D411yescharacteristic
346#14556563—21no—
347#14556563—21no—
348#14556563—21no—
349#14556563—21no—
350#14556563—21no—
351#14556563D411yescharacteristic
352#14556562—21no—
353#14556562—21no—
354#14556562—21no—
355#14556562—21no—
356#14556562—21no—
357#14556562C2311yescharacteristic
358#14556562C2311yescharacteristic
359#14556561—21no—
360#14556561—21no—
361#14556561D411yescharacteristic
362#14556559—21no—
363#14556559—21no—
364#14556559—21no—
365#14556559—21no—
366#14556559—21no—
367#14556559—21no—
368#14556559—21no—
369#14556559D411yescharacteristic
370Q8×Dic73—21no—
371Q8×Dic73C2311yescharacteristic
372C4×Dic146C2311yescharacteristic
373#14556556C2311yescharacteristic
374C4×D292—21no—
375C4×D292—21no—
376C4×D292—21no—
377C4×D292C2311yescharacteristic
378C4×D292C2311yescharacteristic
379#14556553—21no—
380#14556553—21no—
381#14556553C2311yescharacteristic
382#14556553C2311yescharacteristic
383C4×C22⋊D73—21no—
384C4×C22⋊D73—21no—
385C4×C22⋊D73—21no—
386C4×C22⋊D73C2311yescharacteristic
387C4×C22⋊D73C2311yescharacteristic
388#14556551—21no—
389#14556551—21no—
390#14556551—21no—
391#14556550—21no—
392#14556549C2311yescharacteristic
393#14556549C2311yescharacteristic
394#14556548—21no—
395#14556548C2311yescharacteristic
396C2×C4⋊Dic73—21no—
397C4⋊C4×D73—21no—
398C4⋊C4×D73—21no—
399C4⋊C4×D73C2311yescharacteristic
400C2×#11924005—21no—
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403C22⋊C4×D73—21no—
404#14556524C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556523C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556502C2311yescharacteristic
445#14556501C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C2×Q16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×M16×C73C2311yescharacteristic
453C2×M16×C73C2311yescharacteristic
454C4⋊Q8×C73C2311yescharacteristic
455#127×C73—21no—
456#127×C73C2311yescharacteristic
457#125×C73—21no—
458C22⋊Q8×C73—21no—
459C22⋊Q8×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466C4×Q8×C73C2311yescharacteristic
467C4×Q8×C73C2311yescharacteristic
468C4×D4×C73—21no—
469C4×D4×C73—21no—
470C4×D4×C73C2311yescharacteristic
471C2×C4⋊C4×C73C2311yescharacteristic
472C2×C4⋊C4×C73C2311yescharacteristic
473#107×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#107×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73C2×D411yescharacteristic
495#11924029—22no—
496#11924029—22no—
497#11924029—22no—
498#11924029—41no—
499#11924029—41no—
500#11924029—41no—
501#11924028—22no—
502#11924028—41no—
503#11924028—41no—
504#11924028—41no—
505#11924028—41no—
506#11924028—41no—
507#11924028—44no—
508#11924028—44no—
509#11924027—41no—
510#11924027—41no—
511#11924027—44no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146—41no—
516C2×Dic146—41no—
517C2×Dic146C2×D411yescharacteristic
518C2×Dic146C2411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×Dic146C2411yescharacteristic
521Q8×D73—22no—
522Q8×D73—41no—
523Q8×D73—41no—
524Q8×D73—41no—
525C2×D292—21no—
526C2×D292—22no—
527C2×D292—21no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—21no—
533C2×D292—41no—
534C2×D292—44no—
535C2×D292C2×D411yescharacteristic
536C2×D292C2×D411yescharacteristic
537C2×D292C2411yescharacteristic
538C2×D292C2411yescharacteristic
539C2×D292C2411yescharacteristic
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73C2×D411yescharacteristic
553C2×C22⋊D73C2×D411yescharacteristic
554C2×C22⋊D73C2×D411yescharacteristic
555C2×C22⋊D73C2×D411yescharacteristic
556D4×D73—22no—
557D4×D73—22no—
558D4×D73—41no—
559D4×D73—41no—
560D4×D73—41no—
561D4×D73—41no—
562D4×D73—44no—
563D4×D73—44no—
564D4×D73—44no—
565D4×D73—82no—
566D4×D73—82no—
567D4×D73—82no—
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73C2×D411yescharacteristic
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—41no—
583C2×C4×D73—41no—
584C2×C4×D73—44no—
585C2×C4×D73C2×D411yescharacteristic
586C2×C4×D73C2×D411yescharacteristic
587C2×C4×D73C2411yescharacteristic
588C2×C4×D73C2411yescharacteristic
589C2×C4×D73C2411yescharacteristic
590Dic292—41no—
591Dic292—41no—
592#11924018—22no—
593#11924018—22no—
594#11924018—41no—
595#11924017—22no—
596#11924017—22no—
597#11924017—41no—
598#11924017—41no—
599#11924017—41no—
600#11924016—41no—
601#11924016—41no—
602#11924016—41no—
603#11924016—41no—
604#11924015—22no—
605#11924015—22no—
606#11924015—41no—
607D584—22no—
608D584—41no—
609#11924013—41no—
610#11924013—41no—
611#11924012—41no—
612#11924011—41no—
613#11924011—41no—
614#11924011—41no—
615C2×#10596831—41no—
616C2×#10596831C2411yescharacteristic
617C2×#10596831C2411yescharacteristic
618C2×#10596831C2411yescharacteristic
619C2×#10596831C2411yescharacteristic
620C8×D73—41no—
621C4⋊Dic73—21no—
622C4⋊Dic73—21no—
623C4⋊Dic73—21no—
624C4⋊Dic73—21no—
625C4⋊Dic73—21no—
626C4⋊Dic73—21no—
627C4⋊Dic73—21no—
628C4⋊Dic73—21no—
629C4⋊Dic73C2×D411yescharacteristic
630C4⋊Dic73C2411yescharacteristic
631C4⋊Dic73C2411yescharacteristic
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007—21no—
639#11924007—21no—
640#11924007—21no—
641#11924007C2×D411yescharacteristic
642#11924007C2×D411yescharacteristic
643#11924007C2×D411yescharacteristic
644#11924007C2×D411yescharacteristic
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73C2×D411yescharacteristic
652C22⋊Dic73C2×D411yescharacteristic
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005C2×D411yescharacteristic
675#11924005C2×D411yescharacteristic
676#11924005C2×D411yescharacteristic
677#11924005C2×D411yescharacteristic
678#11924005C2×D411yescharacteristic
679#11924005C2×D411yescharacteristic
680C4×Dic73—21no—
681C4×Dic73—21no—
682C4×Dic73—21no—
683C4×Dic73—21no—
684C4×Dic73—21no—
685C4×Dic73C2411yescharacteristic
686#41×C73—22no—
687#41×C73—22no—
688#41×C73—41no—
689#41×C73—41no—
690C2×Q8×C73—21no—
691C2×Q8×C73C2411yescharacteristic
692C2×Q8×C73C2411yescharacteristic
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73—21no—
699C2×D4×C73C2×D411yescharacteristic
700C2×D4×C73C2411yescharacteristic
701C2×D4×C73C2411yescharacteristic
702C22×C4×C73—21no—
703C22×C4×C73—21no—
704C22×C4×C73—21no—
705C22×C4×C73—21no—
706C22×C4×C73C2411yescharacteristic
707C22×C4×C73C2411yescharacteristic
708Q16×C73—22no—
709SD16×C73—41no—
710SD16×C73—41no—
711M16×C73—41no—
712M16×C73—41no—
713C2×C8×C73C2411yescharacteristic
714C2×C8×C73C2411yescharacteristic
715C2×C8×C73C2411yescharacteristic
716C2×C8×C73C2411yescharacteristic
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73C2×D411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C4⋊C4×C73C2411yescharacteristic
728C4⋊C4×C73C2411yescharacteristic
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73C2×D411yescharacteristic
734C22⋊C4×C73C2×D411yescharacteristic
735C42×C73—21no—
736C42×C73—21no—
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73C22×D411yescharacteristic
741C23×C73C22×D411yescharacteristic
742C22×D73—21no—
743C22×D73—21no—
744C22×D73—21no—
745C22×D73—41no—
746C22×D73—41no—
747C22×D73—41no—
748C22×D73—42no—
749C22×D73—42no—
750C22×D73—42no—
751C22×D73—42no—
752C22×D73—42no—
753C22×D73—81no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73C22×D411yescharacteristic
761C22×D73C22×D411yescharacteristic
762C22×D73C22×D411yescharacteristic
763Q8×C73—21no—
764Q8×C73—21no—
765Q8×C73—21no—
766Q8×C73—81no—
767Q8×C73H(5,𝔽2)12yes—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—21no—
771D4×C73—21no—
772D4×C73—41no—
773D4×C73—42no—
774D4×C73—42no—
775D4×C73—81no—
776D4×C73—81no—
777D4×C73—81no—
778D4×C73—81no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—42no—
790C2×C4×C73—42no—
791C2×C4×C73—81no—
792C2×C4×C73—81no—
793C2×C4×C73C22×D411yescharacteristic
794C2×C4×C73C22×D411yescharacteristic
795C2×C4×C73C22×D411yescharacteristic
796C2×C4×C73C22×D411yescharacteristic
797C2×C4×C73C2511yescharacteristic
798C22⋊D73—41no—
799C22⋊D73—41no—
800C22⋊D73—41no—
801C22⋊D73—41no—
802C22⋊D73—42no—
803C22⋊D73—42no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—42no—
807C22⋊D73—42no—
808C22⋊D73—42no—
809C22⋊D73—81no—
810C22⋊D73—81no—
811C22⋊D73—81no—
812C22⋊D73—81no—
813C22⋊D73—81no—
814C2×Dic73—21no—
815C2×Dic73—21no—
816C2×Dic73—21no—
817C2×Dic73—21no—
818C2×Dic73—21no—
819C2×Dic73—41no—
820C2×Dic73—42no—
821C2×Dic73—81no—
822C2×Dic73C22×D411yescharacteristic
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825C2×Dic73C22×D411yescharacteristic
826C2×Dic73C22×D411yescharacteristic
827D292—24no—
828D292—21no—
829D292—21no—
830D292—21no—
831D292—21no—
832D292—21no—
833D292—41no—
834D292—41no—
835D292—42no—
836D292—42no—
837D292—42no—
838D292—81no—
839D292—81no—
840D292—81no—
841D292H(5,𝔽2)12yes—
842C4×D73—24no—
843C4×D73—21no—
844C4×D73—21no—
845C4×D73—21no—
846C4×D73—21no—
847C4×D73—21no—
848C4×D73—21no—
849C4×D73—41no—
850C4×D73—41no—
851C4×D73—42no—
852C4×D73—42no—
853C4×D73—42no—
854C4×D73—81no—
855C4×D73—81no—
856C4×D73—81no—
857C4×D73—81no—
858C4×D73—81no—
859C4×D73—81no—
860C4×D73—81no—
861Dic146—21no—
862Dic146—21no—
863Dic146—21no—
864Dic146—21no—
865Dic146—21no—
866Dic146—21no—
867Dic146—41no—
868Dic146—42no—
869Dic146—81no—
870Dic146—81no—
871C8×C73—21no—
872C8×C73—21no—
873C8×C73—21no—
874C8×C73—21no—
875#10596831—21no—
876#10596831—21no—
877#10596831—21no—
878#10596831—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—21no—
883C22×C73—21no—
884C22×C73—21no—
885C22×C73—41no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73C23×D411yescharacteristic
892C2×D73—21no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—21no—
897C2×D73—21no—
898C2×D73—21no—
899C2×D73—21no—
900C2×D73—22no—
901C2×D73—21no—
902C2×D73—41no—
903C2×D73—41no—
904C2×D73—41no—
905C2×D73—41no—
906C2×D73—41no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—41no—
910C2×D73—82no—
911C2×D73—84no—
912C2×D73—162no—
913C2×D73—162no—
914C2×D73—162no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—22no—
918C4×C73—21no—
919C4×C73—21no—
920C4×C73—41no—
921C4×C73—41no—
922C4×C73—41no—
923C4×C73—41no—
924C4×C73—41no—
925C4×C73C2×H(5,𝔽2)11yescharacteristic
926C4×C73C2×H(5,𝔽2)11yescharacteristic
927Dic73—21no—
928Dic73—21no—
929Dic73—21no—
930Dic73—21no—
931Dic73—21no—
932Dic73—41no—
933Dic73—41no—
934Dic73—41no—
935Dic73—41no—
936Dic73—41no—
937#61654—731nomaximal, Sylow
938C2×C73—41no—
939C2×C73—41no—
940C2×C73—81no—
941C2×C73—81no—
942C2×C73#348411yescharacteristic
943C2×C73#358511yescharacteristic
944C2×C73#358611yescharacteristic
945D73—41no—
946D73—41no—
947D73—41no—
948D73—42no—
949D73—81no—
950D73—81no—
951#3541—731no—
952#3488—731no—
953#3333D7311yescharacteristic, complemented
954#3327—731no—
955#3324—731no—
956#3322—731no—
957#3314—731no—
958#3313—731no—
959#3310—731no—
960#3309—731no—
961#3278—731no—
962#3277—731no—
963#3275—731no—
964#3272—731no—
965#3271—731no—
966#3269—731no—
967#3266—731no—
968#3265—731no—
969#3224—731no—
970#3222—731no—
971#3203—731no—
972#3201—731no—
973#3194—731no—
974#3193—731no—
975#3124—731no—
976#3120—731no—
977#3012—731no—
978#3009—731no—
979#3007—731no—
980#3005—731no—
981#2978—731no—
982C73#6165411yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)—731no—
984C22×#41—731no—
985C2×#137—731no—
986C2×#137—731no—
987C2×#137—731no—
988C2×#137—731no—
989C2×AGL(1,ℤ/8)—731no—
990C2×AGL(1,ℤ/8)—731no—
991C2×#135—731no—
992C22×SD16—731no—
993#563—1461no—
994#562—1461no—
995#556—731no—
996#554—1461no—
997#554C2×D7311yescharacteristic, complemented
998#553—731no—
999#553—1461no—
1000#552—731no—
1001#550—731no—
1002#550C2×D7311yescharacteristic
1003D4×Q8—731no—
1004#548—731no—
1005#548—731no—
1006#548—731no—
1007#548—731no—
1008#547—731no—
1009#546—731no—
1010#546—731no—
1011#546—1461no—
1012#546—1461no—
1013D42—731no—
1014D42—731no—
1015D42—1461no—
1016D42—1461no—
1017#542—731no—
1018#542—1461no—
1019#541—731no—
1020#539—1461no—
1021#538—1461no—
1022#538—1461no—
1023#537—731no—
1024#537—731no—
1025#537—1461no—
1026#536—731no—
1027#535—731no—
1028#535—1461no—
1029#525—731no—
1030#525—731no—
1031#525—1461no—
1032C2×C22⋊Q8—731no—
1033C2×#121—731no—
1034C2×#121—1461no—
1035#520—731no—
1036#497—731no—
1037#496—731no—
1038#495—731no—
1039#492—731no—
1040#490—731no—
1041#489—731no—
1042#488—731no—
1043#486C2×D7311yescharacteristic, complemented
1044#485—731no—
1045#484—731no—
1046#484—731no—
1047#484—731no—
1048#483—731no—
1049#482—731no—
1050#482—731no—
1051#482—731no—
1052#480—731no—
1053#480—731no—
1054#480C2×D7311yescharacteristic, complemented
1055#480C2×D7311yescharacteristic, complemented
1056#479—731no—
1057#478—731no—
1058#477C2×D7311yescharacteristic, complemented
1059#474—731no—
1060#470—731no—
1061#469—731no—
1062#469—731no—
1063#468—731no—
1064#468—731no—
1065#468—731no—
1066#468—731no—
1067#468—731no—
1068#468—731no—
1069#468—731no—
1070#468C2×D7311yescharacteristic, complemented
1071#468C2×D7311yescharacteristic, complemented
1072#467—731no—
1073#467—731no—
1074#466—731no—
1075#465—731no—
1076#464—731no—
1077#464—731no—
1078#464—731no—
1079#464—731no—
1080#463—731no—
1081#463—731no—
1082#462—731no—
1083#461—731no—
1084#460—731no—
1085#460—731no—
1086#460C2×D7311yescharacteristic, complemented
1087#459—731no—
1088#452—731no—
1089#452—731no—
1090#452—731no—
1091#452—731no—
1092#452—731no—
1093#452—731no—
1094#452—731no—
1095#452—731no—
1096#452—731no—
1097#452—731no—
1098#452C2×D7311yescharacteristic, complemented
1099#452C2×D7311yescharacteristic, complemented
1100#451—731no—
1101#451—731no—
1102#451—731no—
1103#450—731no—
1104#450—731no—
1105#450—731no—
1106#450—731no—
1107#450—731no—
1108#450—731no—
1109#450—731no—
1110#450—731no—
1111#449—731no—
1112#449—731no—
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449—731no—
1119#448—731no—
1120#448—731no—
1121#448—731no—
1122#447—731no—
1123#447—731no—
1124#441—731no—
1125#440—731no—
1126#440—731no—
1127#440—731no—
1128C4×Q16—731no—
1129C4×Q16C2×D7311yescharacteristic, complemented
1130C4×SD16—731no—
1131C4×D8—731no—
1132#436—731no—
1133#436—731no—
1134#436—731no—
1135#436C2×D7311yescharacteristic, complemented
1136#435—731no—
1137#435—731no—
1138#435—731no—
1139#435—731no—
1140#433—731no—
1141#433—731no—
1142#419—731no—
1143#418—731no—
1144#418—731no—
1145#417—731no—
1146#417C2×D7311yescharacteristic, complemented
1147#417C2×D7311yescharacteristic, complemented
1148#416—731no—
1149C2×#102—731no—
1150#408—731no—
1151#408—731no—
1152#407—731no—
1153#407—731no—
1154H(5,𝔽2)—2922no—
1155H(5,𝔽2)—2922no—
1156C2×#41—2922no—
1157C2×#41—2922no—
1158C2×#41—731no—
1159C2×#41—731no—
1160C2×#41—731no—
1161C2×#41—731no—
1162C2×#41—731no—
1163C2×#41—731no—
1164C2×#41—731no—
1165C2×#41—1461no—
1166C2×#41—1461no—
1167C2×#41—1461no—
1168C2×#41C22×D7311yescharacteristic
1169C2×#41C22×D7311yescharacteristic
1170C22×Q8—731no—
1171C22×Q8—731no—
1172C22×Q8—731no—
1173C22×D4—731no—
1174C22×D4—731no—
1175C22×D4—731no—
1176C22×D4—731no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4—1461no—
1181C22×D4—1461no—
1182C22×D4—1461no—
1183C22×D4—1461no—
1184C23×C4—731no—
1185C23×C4—1461no—
1186#137—2922no—
1187#137—2922no—
1188#137—2922no—
1189#137—2922no—
1190AGL(1,ℤ/8)—2922no—
1191AGL(1,ℤ/8)—2922no—
1192#135—2922no—
1193C2×Q16—731no—
1194C2×Q16—731no—
1195C2×Q16—731no—
1196C2×Q16—731no—
1197C2×Q16—731no—
1198C2×Q16C22×D7311yescharacteristic
1199C2×SD16—2922no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16—731no—
1205C2×SD16—731no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16—731no—
1209C2×SD16—731no—
1210C2×SD16—731no—
1211C2×SD16—731no—
1212C2×SD16C22×D7311yescharacteristic
1213C2×SD16C22×D7311yescharacteristic
1214C2×D8—731no—
1215C2×D8—731no—
1216C2×D8—731no—
1217C2×D8—731no—
1218C2×M16—731no—
1219C2×M16—731no—
1220C2×M16—731no—
1221C2×M16—731no—
1222C2×M16C22×D7311yescharacteristic
1223C2×M16C22×D7311yescharacteristic
1224C22×C8—731no—
1225C22×C8—731no—
1226C4⋊Q8—731no—
1227C4⋊Q8—1461no—
1228C4⋊Q8—1461no—
1229C4⋊Q8C22×D7311yescharacteristic
1230#127—21no—
1231#127—731no—
1232#127—1461no—
1233#127C22×D7311yescharacteristic
1234#126—1461no—
1235#126—1461no—
1236#126—1461no—
1237#126—1461no—
1238#126—1461no—
1239#126—1461no—
1240#126—1461no—
1241#125—21no—
1242#125—731no—
1243#125—1461no—
1244#125—1461no—
1245#125—1461no—
1246#124—731no—
1247#124—731no—
1248#124—731no—
1249#124—1461no—
1250#124—1461no—
1251#124—1461no—
1252#124—1461no—
1253#124—1461no—
1254#124—1461no—
1255#124—1461no—
1256#123—731no—
1257#123—731no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—731no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—731no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—731no—
1278C22⋊Q8—731no—
1279C22⋊Q8—731no—
1280C22⋊Q8—731no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8—1461no—
1291C22⋊Q8—1461no—
1292C22⋊Q8C22×D7311yescharacteristic
1293C22⋊Q8C22×D7311yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—731no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121C22×D7311yescharacteristic
1328#121C22×D7311yescharacteristic
1329#120—731no—
1330#120—731no—
1331#120—1461no—
1332#120—1461no—
1333#120—1461no—
1334#120—1461no—
1335#120—1461no—
1336#120—1461no—
1337#120—1461no—
1338#120—1461no—
1339#120—1461no—
1340C4×Q8—731no—
1341C4×Q8—731no—
1342C4×Q8—731no—
1343C4×Q8—1461no—
1344C4×Q8C22×D7311yescharacteristic
1345C4×Q8C22×D7311yescharacteristic
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—731no—
1349C4×D4—731no—
1350C4×D4—731no—
1351C4×D4—731no—
1352C4×D4—731no—
1353C4×D4—731no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360C4×D4—1461no—
1361C4×D4—1461no—
1362C4×D4—1461no—
1363C4×D4—1461no—
1364C4×D4—1461no—
1365C4×D4C22×D7311yescharacteristic
1366#117—731no—
1367#117—731no—
1368#117—731no—
1369#117—1461no—
1370#117—1461no—
1371C2×C4⋊C4—731no—
1372C2×C4⋊C4—1461no—
1373C2×C4⋊C4—1461no—
1374C2×C4⋊C4—1461no—
1375C2×C4⋊C4C22×D7311yescharacteristic
1376C2×C4⋊C4C22×D7311yescharacteristic
1377C2×C22⋊C4—1461no—
1378C2×C22⋊C4—1461no—
1379C2×C22⋊C4—1461no—
1380C2×C22⋊C4—1461no—
1381#107—731no—
1382#107—731no—
1383#107—731no—
1384#107C22×D7311yescharacteristic
1385#107C22×D7311yescharacteristic
1386#107C22×D7311yescharacteristic
1387#106—731no—
1388#106—731no—
1389C4⋊C8—731no—
1390C4⋊C8—731no—
1391C4⋊C8—731no—
1392C4⋊C8C22×D7311yescharacteristic
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103—731no—
1401#103—731no—
1402#103—731no—
1403#103C22×D7311yescharacteristic
1404#103C22×D7311yescharacteristic
1405#103C22×D7311yescharacteristic
1406#103C22×D7311yescharacteristic
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102C22×D7311yescharacteristic
1420#102C22×D7311yescharacteristic
1421#102C22×D7311yescharacteristic
1422#102C22×D7311yescharacteristic
1423#102C22×D7311yescharacteristic
1424#102C22×D7311yescharacteristic
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8—731no—
1430C22⋊C8—731no—
1431C22⋊C8—731no—
1432C22⋊C8—731no—
1433C22⋊C8—731no—
1434C22⋊C8—731no—
1435C22⋊C8C22×D7311yescharacteristic
1436C22⋊C8C22×D7311yescharacteristic
1437#97—731no—
1438#97—731no—
1439C4×C8—731no—
1440C4×C8C22×D7311yescharacteristic
1441C24—731no—
1442C24—1461no—
1443C24—1461no—
1444C24—1461no—
1445C24—1461no—
1446#41—22no—
1447#41—22no—
1448#41—41no—
1449#41—41no—
1450#41—2921no—
1451#41—2921no—
1452#41—2921no—
1453#41—2921no—
1454#41—2921no—
1455#41—2924no—
1456#41—2924no—
1457#41—2921no—
1458#41—2921no—
1459#41—2924no—
1460#41—2921no—
1461#41—2921no—
1462#41—2921no—
1463#41—1462no—
1464#41—1462no—
1465#41—1462no—
1466#41—1462no—
1467C2×Q8—21no—
1468C2×Q8—2921no—
1469C2×Q8—2921no—
1470C2×Q8—2921no—
1471C2×Q8—2921no—
1472C2×Q8—2921no—
1473C2×Q8—731no—
1474C2×Q8—731no—
1475C2×Q8—731no—
1476C2×Q8—731no—
1477C2×Q8—1461no—
1478C2×Q8—1461no—
1479C2×Q8—1462no—
1480C2×Q8—1461no—
1481C2×Q8C23×D7311yescharacteristic
1482C2×Q8C23×D7311yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—2921no—
1490C2×D4—2924no—
1491C2×D4—2924no—
1492C2×D4—2924no—
1493C2×D4—2921no—
1494C2×D4—2921no—
1495C2×D4—2921no—
1496C2×D4—2921no—
1497C2×D4—2924no—
1498C2×D4—5842no—
1499C2×D4—5842no—
1500C2×D4—5842no—
1501C2×D4—731no—
1502C2×D4—731no—
1503C2×D4—731no—
1504C2×D4—731no—
1505C2×D4—731no—
1506C2×D4—731no—
1507C2×D4—731no—
1508C2×D4—731no—
1509C2×D4—731no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1462no—
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—1462no—
1523C2×D4—1462no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4—1461no—
1532C2×D4D4×D7311yescharacteristic
1533C2×D4C23×D7311yescharacteristic
1534C2×D4C23×D7311yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—2921no—
1540C22×C4—2921no—
1541C22×C4—2924no—
1542C22×C4—731no—
1543C22×C4—731no—
1544C22×C4—731no—
1545C22×C4—731no—
1546C22×C4—731no—
1547C22×C4—731no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4—1461no—
1552C22×C4—1461no—
1553C22×C4—1461no—
1554C22×C4—1461no—
1555C22×C4—1461no—
1556C22×C4—1461no—
1557C22×C4—1461no—
1558C22×C4—1461no—
1559C22×C4—1461no—
1560C22×C4—1461no—
1561C22×C4C23×D7311yescharacteristic
1562C22×C4C23×D7311yescharacteristic
1563Q16—22no—
1564Q16—2921no—
1565Q16—2921no—
1566Q16—2921no—
1567Q16—1462no—
1568Q16—1462no—
1569SD16—41no—
1570SD16—41no—
1571SD16—2921no—
1572SD16—2921no—
1573SD16—2921no—
1574SD16—2921no—
1575SD16—2921no—
1576SD16—2921no—
1577SD16—2921no—
1578SD16—2921no—
1579SD16—1462no—
1580SD16—1462no—
1581SD16—1462no—
1582SD16—1462no—
1583D8—2921no—
1584D8—2921no—
1585D8—2921no—
1586D8—1462no—
1587M16—41no—
1588M16—41no—
1589M16—2921no—
1590M16—2921no—
1591M16—2921no—
1592M16—2921no—
1593C2×C8—2921no—
1594C2×C8—2921no—
1595C2×C8—731no—
1596C2×C8—731no—
1597C2×C8—731no—
1598C2×C8—731no—
1599C2×C8C23×D7311yescharacteristic
1600C2×C8C23×D7311yescharacteristic
1601C2×C8C23×D7311yescharacteristic
1602C2×C8C23×D7311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—731no—
1611C4⋊C4—731no—
1612C4⋊C4—731no—
1613C4⋊C4—731no—
1614C4⋊C4—731no—
1615C4⋊C4—731no—
1616C4⋊C4—731no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4D4×D7311yescharacteristic
1635C4⋊C4C23×D7311yescharacteristic
1636C4⋊C4C23×D7311yescharacteristic
1637C4⋊C4C23×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—731no—
1644C22⋊C4—731no—
1645C22⋊C4—731no—
1646C22⋊C4—731no—
1647C22⋊C4—731no—
1648C22⋊C4—731no—
1649C22⋊C4—731no—
1650C22⋊C4—731no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4D4×D7311yescharacteristic
1679C22⋊C4D4×D7311yescharacteristic
1680C42—21no—
1681C42—21no—
1682C42—731no—
1683C42—1461no—
1684C42—1461no—
1685C42—1461no—
1686C42—1461no—
1687C42—1461no—
1688C42C23×D7311yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—2922no—
1692C23—2921no—
1693C23—2921no—
1694C23—2921no—
1695C23—2922no—
1696C23—2922no—
1697C23—2922no—
1698C23—2922no—
1699C23—5841no—
1700C23—5841no—
1701C23—5841no—
1702C23—5841no—
1703C23—5841no—
1704C23—5841no—
1705C23—5841no—
1706C23—731no—
1707C23—731no—
1708C23—731no—
1709C23—1461no—
1710C23—1461no—
1711C23—1461no—
1712C23C2×D4×D7311yescharacteristic
1713C23C2×D4×D7311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—81no—
1718Q8—2922no—
1719Q8—2921no—
1720Q8—5841no—
1721Q8—5841no—
1722Q8—1461no—
1723Q8—1461no—
1724Q8—1461no—
1725Q8—1461no—
1726Q8—1461no—
1727Q8—1461no—
1728Q8#1455663712yes—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—41no—
1734D4—42no—
1735D4—42no—
1736D4—81no—
1737D4—81no—
1738D4—81no—
1739D4—81no—
1740D4—2922no—
1741D4—2922no—
1742D4—2921no—
1743D4—2921no—
1744D4—2922no—
1745D4—2922no—
1746D4—2922no—
1747D4—2922no—
1748D4—2922no—
1749D4—2921no—
1750D4—2921no—
1751D4—2921no—
1752D4—2921no—
1753D4—2922no—
1754D4—2922no—
1755D4—2922no—
1756D4—5841no—
1757D4—5841no—
1758D4—5841no—
1759D4—5841no—
1760D4—5841no—
1761D4—5841no—
1762D4—5841no—
1763D4—5841no—
1764D4—732no—
1765D4—1464no—
1766D4—1461no—
1767D4—1461no—
1768D4—1461no—
1769D4—1461no—
1770D4—1461no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—81no—
1784C2×C4—81no—
1785C2×C4—2922no—
1786C2×C4—2922no—
1787C2×C4—2922no—
1788C2×C4—2921no—
1789C2×C4—2921no—
1790C2×C4—2922no—
1791C2×C4—2921no—
1792C2×C4—5841no—
1793C2×C4—5841no—
1794C2×C4—5841no—
1795C2×C4—5841no—
1796C2×C4—5841no—
1797C2×C4—5841no—
1798C2×C4—5841no—
1799C2×C4—5841no—
1800C2×C4—731no—
1801C2×C4—731no—
1802C2×C4—731no—
1803C2×C4—731no—
1804C2×C4—731no—
1805C2×C4—1464no—
1806C2×C4—1461no—
1807C2×C4—1461no—
1808C2×C4—1461no—
1809C2×C4—1461no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4—1461no—
1813C2×C4—1461no—
1814C2×C4—1461no—
1815C2×C4—1461no—
1816C2×C4—1461no—
1817C2×C4C2×D4×D7311yescharacteristic
1818C2×C4C2×D4×D7311yescharacteristic
1819C2×C4C2×D4×D7311yescharacteristic
1820C2×C4C2×D4×D7311yescharacteristic
1821C2×C4C24×D7311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1461no—
1827C8—1461no—
1828C8—1461no—
1829C8—1461no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—2921no—
1843C22—2921no—
1844C22—2921no—
1845C22—2921no—
1846C22—2921no—
1847C22—2921no—
1848C22—2921no—
1849C22—2921no—
1850C22—5842no—
1851C22—5844no—
1852C22—11682no—
1853C22—11682no—
1854C22—11682no—
1855C22—1461no—
1856C22—1462no—
1857C22—1461no—
1858C22—1461no—
1859C22—1461no—
1860C22—1461no—
1861C22—1461no—
1862C22—1461no—
1863C22—1461no—
1864C22—1461no—
1865C22C22×D4×D7311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—22no—
1869C4—21no—
1870C4—21no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—2921no—
1877C4—2921no—
1878C4—2921no—
1879C4—2921no—
1880C4—2921no—
1881C4—1461no—
1882C4—1461no—
1883C4—1461no—
1884C4—1461no—
1885C4—1461no—
1886C4H(5,𝔽2)×D7311yescharacteristic
1887C4C2×#1455663711yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—81no—
1891C2—81no—
1892C2—2922no—
1893C2—2921no—
1894C2—2921no—
1895C2—2921no—
1896C2—5841no—
1897C2—5841no—
1898C2#2262356111yescharacteristic
1899C2#2262470611yescharacteristic
1900C2#2262471411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3333C2
socleC22×C73C23×D4
hypercenter#3333D73
hypocenterC73#61654
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3333

Complements

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

NH ≅ G/Ntype
1. #22624225C2semidirect
2. #22623599C2semidirect
3. #22622200C2semidirect
4. #22622161C2semidirect
5. #22622135C2semidirect
6. #22622006C2semidirect
7. #22621994C2semidirect
8. #22621950C2semidirect
9. #22621938C2semidirect
10. #22621590C2semidirect
11. #22621587C2semidirect
12. #22621567C2semidirect
13. #22621528C2semidirect
14. #22621512C2semidirect
15. #22621479C2semidirect
16. #22621448C2semidirect
17. #22621421C2semidirect
18. #22621028C2semidirect
19. #22621002C2semidirect
20. #22620831C2semidirect
21. #22620808C2semidirect
22. #22620746C2semidirect
23. #22620739C2semidirect
24. #22620200C2semidirect
25. #22620151C2semidirect
26. #22619237C2semidirect
27. #22619205C2semidirect
28. #22619192C2semidirect
29. #22619174C2semidirect
30. #22618988C2semidirect
31. C73×#3333C2semidirect
34. C2×#14556624C22semidirect
35. C2×#14556623C22semidirect
36. C2×#14556623C22semidirect
37. C2×#14556621C22semidirect
38. C2×#14556619C22semidirect
39. C2×#14556618C22semidirect
40. C2×#14556611C22semidirect
41. C2×SD16×D73C22semidirect
44. #17989311C22semidirect
46. #17989285C22semidirect
48. #17989272C22semidirect
50. #17989250C22semidirect
52. #17989249C22semidirect
53. #17989246C22semidirect
55. #17989239C22semidirect
64. #17989211C22semidirect
66. #17989195C22semidirect
70. #17989168C22semidirect
73. #17989160C22semidirect
76. #17989100C22semidirect
79. C2×#14556571C22semidirect
83. #17988978C22semidirect
84. #17988974C22semidirect
85. #17988971C22semidirect
86. #17988958C22semidirect
87. #17988950C22semidirect
88. #17988949C22semidirect
89. #17988940C22semidirect
90. #17988930C22semidirect
91. #17988924C22semidirect
92. #17988924C22semidirect
93. #17988922C22semidirect
94. #17988916C22semidirect
95. #17988914C22semidirect
96. #17988910C22semidirect
97. #17988910C22semidirect
98. #17988902C22semidirect
99. #17988900C22semidirect
100. #17988892C22semidirect
101. #17988890C22semidirect
102. #17988864C22semidirect
103. #17988845C22semidirect
104. #17988840C22semidirect
105. #17988838C22semidirect
106. #17988835C22semidirect
107. #17988834C22semidirect
108. #17988834C22semidirect
109. #17988834C22semidirect
110. #17988832C22semidirect
111. #17988832C22semidirect
112. #17988832C22semidirect
113. #17988829C22semidirect
114. #17988826C22semidirect
115. #17988822C22semidirect
116. #17988814C22semidirect
117. #17988810C22semidirect
118. #17988809C22semidirect
119. #17988809C22semidirect
120. #17988808C22semidirect
121. #17988803C22semidirect
122. #17988801C22semidirect
123. #17988795C22semidirect
124. #17988791C22semidirect
125. #17988786C22semidirect
126. #17988784C22semidirect
127. #17988781C22semidirect
130. #17988752C22semidirect
131. #17988751C22semidirect
132. #17988750C22semidirect
133. #17988750C22semidirect
134. #17988749C22semidirect
136. #17988747C22semidirect
137. #17988746C22semidirect
138. #17988744C22semidirect
139. #17988744C22semidirect
140. #17988744C22semidirect
141. #17988740C22semidirect
142. #17988739C22semidirect
143. #17988739C22semidirect
144. #17988739C22semidirect
145. #17988739C22semidirect
146. #17988739C22semidirect
147. #17988737C22semidirect
148. #17988736C22semidirect
150. #17988735C22semidirect
151. #17988735C22semidirect
152. #17988734C22semidirect
153. #17988733C22semidirect
154. #17988732C22semidirect
155. #17988731C22semidirect
156. #17988730C22semidirect
157. #17988728C22semidirect
158. #17988725C22semidirect
159. #17988724C22semidirect
160. #17988722C22semidirect
161. #17988722C22semidirect
162. #17988692C22semidirect
163. #17988690C22semidirect
164. #17988686C22semidirect
165. #17988685C22semidirect
166. #17988679C22semidirect
167. C4×#11924017C22semidirect
168. #17988669C22semidirect
169. #17988666C22semidirect
170. #17988663C22semidirect
171. #17988662C22semidirect
172. #17988659C22semidirect
173. #17988657C22semidirect
174. #17988656C22semidirect
175. #17988655C22semidirect
176. #17988647C22semidirect
177. #17988646C22semidirect
178. #17988594C22semidirect
179. #17988590C22semidirect
180. #17988590C22semidirect
181. #17988586C22semidirect
182. #17988582C22semidirect
183. C2×#14556511C22semidirect
184. #17988555C22semidirect
185. #17988552C22semidirect
186. #17988550C22semidirect
187. #17988549C22semidirect
188. #554×C73C22semidirect
190. #486×C73C22semidirect
191. #480×C73C22semidirect
192. #480×C73C22semidirect
193. #477×C73C22semidirect
194. #468×C73C22semidirect
195. #468×C73C22semidirect
196. #460×C73C22semidirect
197. #452×C73C22semidirect
198. #452×C73C22semidirect
199. C4×Q16×C73C22semidirect
200. #436×C73C22semidirect
201. #417×C73C22semidirect
202. #417×C73C22semidirect
953. #3333D73semidirect
982. C73#61654semidirect
997. #554C2×D73semidirect
1043. #486C2×D73semidirect
1054. #480C2×D73semidirect
1055. #480C2×D73semidirect
1058. #477C2×D73semidirect
1070. #468C2×D73semidirect
1071. #468C2×D73semidirect
1086. #460C2×D73semidirect
1098. #452C2×D73semidirect
1099. #452C2×D73semidirect
1129. C4×Q16C2×D73semidirect
1135. #436C2×D73semidirect
1146. #417C2×D73semidirect
1147. #417C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242252
#226235992
#226222002
#226221612
#226221352
#226220062
#226219942
#226219502
#226219382
#226215902
#226215872
#226215672
#226215282
#226215122
#226214792
#226214482
#226214212
#226210282
#226210022
#226208312
#226208082
#226207462
#226207392
#226202002
#226201512
#226192372
#226192052
#226191922
#226191742
#226189882
C73×#33332
#6165473